TSTP Solution File: NUM925+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:25:46 EDT 2023
% Result : Theorem 26.12s 26.23s
% Output : CNFRefutation 26.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n018.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 : Fri Aug 25 09:12:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.59 start to proof:theBenchmark
% 26.07/26.16 %-------------------------------------------
% 26.07/26.16 % File :CSE---1.6
% 26.07/26.16 % Problem :theBenchmark
% 26.07/26.16 % Transform :cnf
% 26.07/26.16 % Format :tptp:raw
% 26.07/26.16 % Command :java -jar mcs_scs.jar %d %s
% 26.07/26.16
% 26.07/26.16 % Result :Theorem 24.580000s
% 26.07/26.16 % Output :CNFRefutation 24.580000s
% 26.07/26.16 %-------------------------------------------
% 26.12/26.16 %------------------------------------------------------------------------------
% 26.12/26.16 % File : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% 26.12/26.16 % Domain : Number Theory
% 26.12/26.16 % Problem : Sum of two squares line 192, 1000 axioms selected
% 26.12/26.16 % Version : Especial.
% 26.12/26.16 % English :
% 26.12/26.16
% 26.12/26.16 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 26.12/26.16 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 26.12/26.16 % Source : [Bla11]
% 26.12/26.16 % Names : s2s_1000_fofmg_l192 [Bla11]
% 26.12/26.16
% 26.12/26.16 % Status : Theorem
% 26.12/26.16 % Rating : 0.33 v7.5.0, 0.38 v7.4.0, 0.20 v7.3.0, 0.28 v7.1.0, 0.35 v7.0.0, 0.33 v6.4.0, 0.38 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.50 v6.0.0, 0.48 v5.5.0, 0.67 v5.4.0, 0.71 v5.3.0
% 26.12/26.16 % Syntax : Number of formulae : 1233 ( 454 unt; 0 def)
% 26.12/26.16 % Number of atoms : 2822 ( 890 equ)
% 26.12/26.16 % Maximal formula atoms : 9 ( 2 avg)
% 26.12/26.16 % Number of connectives : 1808 ( 219 ~; 66 |; 205 &)
% 26.12/26.16 % ( 335 <=>; 983 =>; 0 <=; 0 <~>)
% 26.12/26.16 % Maximal formula depth : 13 ( 4 avg)
% 26.12/26.16 % Maximal term depth : 10 ( 2 avg)
% 26.12/26.16 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 26.12/26.16 % Number of functors : 69 ( 69 usr; 33 con; 0-3 aty)
% 26.12/26.17 % Number of variables : 2527 (2507 !; 20 ?)
% 26.12/26.17 % SPC : FOF_THM_RFO_SEQ
% 26.12/26.17
% 26.12/26.17 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 26.12/26.17 % 2011-08-09 17:41:47
% 26.12/26.17 % : Encoded with monomorphized guards.
% 26.12/26.17 %------------------------------------------------------------------------------
% 26.12/26.17 %----Explicit typings (28)
% 26.12/26.17 fof(gsy_c_Groups_Oabs__class_Oabs_000tc__Int__Oint,axiom,
% 26.12/26.17 ! [B_1_1] :
% 26.12/26.17 ( is_int(B_1_1)
% 26.12/26.17 => is_int(abs_abs_int(B_1_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Groups_Ominus__class_Ominus_000tc__Int__Oint,axiom,
% 26.12/26.17 ! [B_1_1,B_2_1] :
% 26.12/26.17 ( ( is_int(B_1_1)
% 26.12/26.17 & is_int(B_2_1) )
% 26.12/26.17 => is_int(minus_minus_int(B_1_1,B_2_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,hypothesis,
% 26.12/26.17 is_int(one_one_int) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint,hypothesis,
% 26.12/26.17 ! [B_1_1,B_2_1] :
% 26.12/26.17 ( ( is_int(B_1_1)
% 26.12/26.17 & is_int(B_2_1) )
% 26.12/26.17 => is_int(plus_plus_int(B_1_1,B_2_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Groups_Otimes__class_Otimes_000tc__Int__Oint,axiom,
% 26.12/26.17 ! [B_1_1,B_2_1] :
% 26.12/26.17 ( ( is_int(B_1_1)
% 26.12/26.17 & is_int(B_2_1) )
% 26.12/26.17 => is_int(times_times_int(B_1_1,B_2_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint,hypothesis,
% 26.12/26.17 is_int(zero_zero_int) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_HOL_Oundefined_000tc__Int__Oint,axiom,
% 26.12/26.17 is_int(undefined_int(int)) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_If_000tc__Int__Oint,axiom,
% 26.12/26.17 ! [B_1_1,B_2_1,B_3_1] :
% 26.12/26.17 ( ( is_bool(B_1_1)
% 26.12/26.17 & is_int(B_2_1)
% 26.12/26.17 & is_int(B_3_1) )
% 26.12/26.17 => is_int(if_int(B_1_1,B_2_1,B_3_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Int_OBit0,hypothesis,
% 26.12/26.17 ! [B_1_1] :
% 26.12/26.17 ( is_int(B_1_1)
% 26.12/26.17 => is_int(bit0(B_1_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Int_OBit1,hypothesis,
% 26.12/26.17 ! [B_1_1] :
% 26.12/26.17 ( is_int(B_1_1)
% 26.12/26.17 => is_int(bit1(B_1_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Int_OMin,axiom,
% 26.12/26.17 is_int(min) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Int_OPls,hypothesis,
% 26.12/26.17 is_int(pls) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Int_Onumber__class_Onumber__of_000tc__Int__Oint,axiom,
% 26.12/26.17 ! [B_1_1] :
% 26.12/26.17 ( is_int(B_1_1)
% 26.12/26.17 => is_int(number_number_of_int(B_1_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Int_Osucc,axiom,
% 26.12/26.17 ! [B_1_1] :
% 26.12/26.17 ( is_int(B_1_1)
% 26.12/26.17 => is_int(succ(B_1_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_Residues_OLegendre,axiom,
% 26.12/26.17 ! [B_1_1,B_2_1] :
% 26.12/26.17 ( ( is_int(B_1_1)
% 26.12/26.17 & is_int(B_2_1) )
% 26.12/26.17 => is_int(legendre(B_1_1,B_2_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_fFalse,axiom,
% 26.12/26.17 is_bool(fFalse) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_fTrue,axiom,
% 26.12/26.17 is_bool(fTrue) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool,axiom,
% 26.12/26.17 ! [B_1_1,B_2_1] :
% 26.12/26.17 ( is_int(B_2_1)
% 26.12/26.17 => is_bool(hAPP_int_bool(B_1_1,B_2_1)) ) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom,
% 26.12/26.17 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint,hypothesis,
% 26.12/26.17 ! [B_1_1,B_2_1] : is_int(hAPP_nat_int(B_1_1,B_2_1)) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_c_hAPP_000tc__RealDef__Oreal_000tc__HOL__Obool,axiom,
% 26.12/26.17 ! [B_1_1,B_2_1] : is_bool(hAPP_real_bool(B_1_1,B_2_1)) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_v_m,axiom,
% 26.12/26.17 is_int(m) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_v_m1____,axiom,
% 26.12/26.17 is_int(m1) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_v_s1____,axiom,
% 26.12/26.17 is_int(s1) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_v_s____,axiom,
% 26.12/26.17 is_int(s) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_v_t____,axiom,
% 26.12/26.17 is_int(t) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_v_x____,axiom,
% 26.12/26.17 is_int(x) ).
% 26.12/26.17
% 26.12/26.17 fof(gsy_v_y____,axiom,
% 26.12/26.17 is_int(y) ).
% 26.12/26.17
% 26.12/26.17 %----Relevant facts (1198)
% 26.12/26.17 fof(fact_0_n1pos,axiom,
% 26.12/26.17 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_1_t1,axiom,
% 26.12/26.17 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_2_sum__power2__eq__zero__iff,axiom,
% 26.12/26.17 ! [Xa,Ya] :
% 26.12/26.17 ( ( is_int(Xa)
% 26.12/26.17 & is_int(Ya) )
% 26.12/26.17 => ( plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int
% 26.12/26.17 <=> ( Xa = zero_zero_int
% 26.12/26.17 & Ya = zero_zero_int ) ) ) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_3_sum__power2__eq__zero__iff,axiom,
% 26.12/26.17 ! [Xa,Ya] :
% 26.12/26.17 ( plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real
% 26.12/26.17 <=> ( Xa = zero_zero_real
% 26.12/26.17 & Ya = zero_zero_real ) ) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_4_one__power2,axiom,
% 26.12/26.17 hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls)))) = one_one_int ).
% 26.12/26.17
% 26.12/26.17 fof(fact_5_one__power2,axiom,
% 26.12/26.17 hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls)))) = one_one_nat ).
% 26.12/26.17
% 26.12/26.17 fof(fact_6_one__power2,axiom,
% 26.12/26.17 hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls)))) = one_one_real ).
% 26.12/26.17
% 26.12/26.17 fof(fact_7_zero__power2,axiom,
% 26.12/26.17 hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int ).
% 26.12/26.17
% 26.12/26.17 fof(fact_8_zero__power2,axiom,
% 26.12/26.17 hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat ).
% 26.12/26.17
% 26.12/26.17 fof(fact_9_zero__power2,axiom,
% 26.12/26.17 hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real ).
% 26.12/26.17
% 26.12/26.17 fof(fact_10_zero__eq__power2,axiom,
% 26.12/26.17 ! [A_1] :
% 26.12/26.17 ( is_int(A_1)
% 26.12/26.17 => ( hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
% 26.12/26.17 <=> A_1 = zero_zero_int ) ) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_11_zero__eq__power2,axiom,
% 26.12/26.17 ! [A_1] :
% 26.12/26.17 ( hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real
% 26.12/26.17 <=> A_1 = zero_zero_real ) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_12_add__special_I2_J,axiom,
% 26.12/26.17 ! [W_13] : plus_plus_int(one_one_int,number_number_of_int(W_13)) = number_number_of_int(plus_plus_int(bit1(pls),W_13)) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_13_add__special_I2_J,axiom,
% 26.12/26.17 ! [W_13] : plus_plus_real(one_one_real,number267125858f_real(W_13)) = number267125858f_real(plus_plus_int(bit1(pls),W_13)) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_14_add__special_I3_J,axiom,
% 26.12/26.17 ! [V_17] : plus_plus_int(number_number_of_int(V_17),one_one_int) = number_number_of_int(plus_plus_int(V_17,bit1(pls))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_15_add__special_I3_J,axiom,
% 26.12/26.17 ! [V_17] : plus_plus_real(number267125858f_real(V_17),one_one_real) = number267125858f_real(plus_plus_int(V_17,bit1(pls))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_16_one__add__one__is__two,axiom,
% 26.12/26.17 plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_17_one__add__one__is__two,axiom,
% 26.12/26.17 plus_plus_real(one_one_real,one_one_real) = number267125858f_real(bit0(bit1(pls))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_18_semiring__one__add__one__is__two,axiom,
% 26.12/26.17 plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_19_semiring__one__add__one__is__two,axiom,
% 26.12/26.17 plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_20_semiring__one__add__one__is__two,axiom,
% 26.12/26.17 plus_plus_real(one_one_real,one_one_real) = number267125858f_real(bit0(bit1(pls))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_21_quartic__square__square,axiom,
% 26.12/26.17 ! [X] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit0(bit1(pls))))) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_22_power__0__left__number__of,axiom,
% 26.12/26.17 ! [W_12] :
% 26.12/26.17 ( ( number_number_of_nat(W_12) = zero_zero_nat
% 26.12/26.17 => hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_12)) = one_one_int )
% 26.12/26.17 & ( number_number_of_nat(W_12) != zero_zero_nat
% 26.12/26.17 => hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_12)) = zero_zero_int ) ) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_23_power__0__left__number__of,axiom,
% 26.12/26.17 ! [W_12] :
% 26.12/26.17 ( ( number_number_of_nat(W_12) = zero_zero_nat
% 26.12/26.17 => hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_12)) = one_one_nat )
% 26.12/26.17 & ( number_number_of_nat(W_12) != zero_zero_nat
% 26.12/26.17 => hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_12)) = zero_zero_nat ) ) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_24_power__0__left__number__of,axiom,
% 26.12/26.17 ! [W_12] :
% 26.12/26.17 ( ( number_number_of_nat(W_12) = zero_zero_nat
% 26.12/26.17 => hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_12)) = one_one_real )
% 26.12/26.17 & ( number_number_of_nat(W_12) != zero_zero_nat
% 26.12/26.17 => hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_12)) = zero_zero_real ) ) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_25_semiring__norm_I110_J,axiom,
% 26.12/26.17 one_one_int = number_number_of_int(bit1(pls)) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_26_semiring__norm_I110_J,axiom,
% 26.12/26.17 one_one_real = number267125858f_real(bit1(pls)) ).
% 26.12/26.17
% 26.12/26.17 fof(fact_27_numeral__1__eq__1,axiom,
% 26.12/26.17 number_number_of_int(bit1(pls)) = one_one_int ).
% 26.12/26.17
% 26.12/26.17 fof(fact_28_numeral__1__eq__1,axiom,
% 26.12/26.17 number267125858f_real(bit1(pls)) = one_one_real ).
% 26.12/26.17
% 26.12/26.17 fof(fact_29_n0,axiom,
% 26.12/26.18 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_30_zless__linear,axiom,
% 26.12/26.18 ! [X,Y] :
% 26.12/26.18 ( ( is_int(X)
% 26.12/26.18 & is_int(Y) )
% 26.12/26.18 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))
% 26.12/26.18 | X = Y
% 26.12/26.18 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X)) ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_31_less__number__of__int__code,axiom,
% 26.12/26.18 ! [K,L_1] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L_1)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_32_plus__numeral__code_I9_J,axiom,
% 26.12/26.18 ! [V_1,W] : plus_plus_int(number_number_of_int(V_1),number_number_of_int(W)) = number_number_of_int(plus_plus_int(V_1,W)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_33_less__number__of,axiom,
% 26.12/26.18 ! [Xa,Ya] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_34_less__number__of,axiom,
% 26.12/26.18 ! [Xa,Ya] :
% 26.12/26.18 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_35_zero__is__num__zero,axiom,
% 26.12/26.18 zero_zero_int = number_number_of_int(pls) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_36_zpower__int,axiom,
% 26.12/26.18 ! [M,N] : hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M)),N) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M),N)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_37_int__power,axiom,
% 26.12/26.18 ! [M,N] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M),N)) = hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M)),N) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_38_zadd__int__left,axiom,
% 26.12/26.18 ! [M,N,Z] : plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M),plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N),Z)) = plus_plus_int(hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M,N)),Z) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_39_zadd__int,axiom,
% 26.12/26.18 ! [M,N] : plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M,N)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_40_int__1,axiom,
% 26.12/26.18 hAPP_nat_int(semiri1621563631at_int,one_one_nat) = one_one_int ).
% 26.12/26.18
% 26.12/26.18 fof(fact_41_nat__number__of__Pls,axiom,
% 26.12/26.18 number_number_of_nat(pls) = zero_zero_nat ).
% 26.12/26.18
% 26.12/26.18 fof(fact_42_semiring__norm_I113_J,axiom,
% 26.12/26.18 zero_zero_nat = number_number_of_nat(pls) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_43_int__eq__0__conv,axiom,
% 26.12/26.18 ! [Na] :
% 26.12/26.18 ( hAPP_nat_int(semiri1621563631at_int,Na) = zero_zero_int
% 26.12/26.18 <=> Na = zero_zero_nat ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_44_int__0,axiom,
% 26.12/26.18 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) = zero_zero_int ).
% 26.12/26.18
% 26.12/26.18 fof(fact_45_nat__1__add__1,axiom,
% 26.12/26.18 plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_46_less__int__code_I16_J,axiom,
% 26.12/26.18 ! [K1,K2] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_47_rel__simps_I17_J,axiom,
% 26.12/26.18 ! [K,L_1] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L_1)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_48_rel__simps_I2_J,axiom,
% 26.12/26.18 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_49_less__int__code_I13_J,axiom,
% 26.12/26.18 ! [K1,K2] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_50_rel__simps_I14_J,axiom,
% 26.12/26.18 ! [K,L_1] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit0(L_1)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_51_zadd__strict__right__mono,axiom,
% 26.12/26.18 ! [K_1,I_2,J_1] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))
% 26.12/26.18 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(I_2,K_1)),plus_plus_int(J_1,K_1))) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_52_add__nat__number__of,axiom,
% 26.12/26.18 ! [V_2,V_1] :
% 26.12/26.18 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.18 => plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2)) = number_number_of_nat(V_2) )
% 26.12/26.18 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.18 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))
% 26.12/26.18 => plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2)) = number_number_of_nat(V_1) )
% 26.12/26.18 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))
% 26.12/26.18 => plus_plus_nat(number_number_of_nat(V_1),number_number_of_nat(V_2)) = number_number_of_nat(plus_plus_int(V_1,V_2)) ) ) ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_53_one__is__num__one,axiom,
% 26.12/26.18 one_one_int = number_number_of_int(bit1(pls)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_54_nat__numeral__1__eq__1,axiom,
% 26.12/26.18 number_number_of_nat(bit1(pls)) = one_one_nat ).
% 26.12/26.18
% 26.12/26.18 fof(fact_55_Numeral1__eq1__nat,axiom,
% 26.12/26.18 one_one_nat = number_number_of_nat(bit1(pls)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_56_eq__number__of,axiom,
% 26.12/26.18 ! [Xa,Ya] :
% 26.12/26.18 ( ( is_int(Xa)
% 26.12/26.18 & is_int(Ya) )
% 26.12/26.18 => ( number_number_of_int(Xa) = number_number_of_int(Ya)
% 26.12/26.18 <=> Xa = Ya ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_57_eq__number__of,axiom,
% 26.12/26.18 ! [Xa,Ya] :
% 26.12/26.18 ( ( is_int(Xa)
% 26.12/26.18 & is_int(Ya) )
% 26.12/26.18 => ( number267125858f_real(Xa) = number267125858f_real(Ya)
% 26.12/26.18 <=> Xa = Ya ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_58_number__of__reorient,axiom,
% 26.12/26.18 ! [Wa,Xa] :
% 26.12/26.18 ( number_number_of_nat(Wa) = Xa
% 26.12/26.18 <=> Xa = number_number_of_nat(Wa) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_59_number__of__reorient,axiom,
% 26.12/26.18 ! [Wa,Xa] :
% 26.12/26.18 ( is_int(Xa)
% 26.12/26.18 => ( number_number_of_int(Wa) = Xa
% 26.12/26.18 <=> Xa = number_number_of_int(Wa) ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_60_number__of__reorient,axiom,
% 26.12/26.18 ! [Wa,Xa] :
% 26.12/26.18 ( number267125858f_real(Wa) = Xa
% 26.12/26.18 <=> Xa = number267125858f_real(Wa) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_61_rel__simps_I51_J,axiom,
% 26.12/26.18 ! [K,L_1] :
% 26.12/26.18 ( ( is_int(K)
% 26.12/26.18 & is_int(L_1) )
% 26.12/26.18 => ( bit1(K) = bit1(L_1)
% 26.12/26.18 <=> K = L_1 ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_62_rel__simps_I48_J,axiom,
% 26.12/26.18 ! [K,L_1] :
% 26.12/26.18 ( ( is_int(K)
% 26.12/26.18 & is_int(L_1) )
% 26.12/26.18 => ( bit0(K) = bit0(L_1)
% 26.12/26.18 <=> K = L_1 ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_63_even__less__0__iff,axiom,
% 26.12/26.18 ! [A_1] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_64_even__less__0__iff,axiom,
% 26.12/26.18 ! [A_1] :
% 26.12/26.18 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))
% 26.12/26.18 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_65_zadd__assoc,axiom,
% 26.12/26.18 ! [Z1,Z2,Z3] : plus_plus_int(plus_plus_int(Z1,Z2),Z3) = plus_plus_int(Z1,plus_plus_int(Z2,Z3)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_66_zadd__left__commute,axiom,
% 26.12/26.18 ! [X,Y,Z] : plus_plus_int(X,plus_plus_int(Y,Z)) = plus_plus_int(Y,plus_plus_int(X,Z)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_67_zadd__commute,axiom,
% 26.12/26.18 ! [Z,W] : plus_plus_int(Z,W) = plus_plus_int(W,Z) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_68_int__int__eq,axiom,
% 26.12/26.18 ! [Ma,Na] :
% 26.12/26.18 ( hAPP_nat_int(semiri1621563631at_int,Ma) = hAPP_nat_int(semiri1621563631at_int,Na)
% 26.12/26.18 <=> Ma = Na ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_69_less__special_I3_J,axiom,
% 26.12/26.18 ! [Xa] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_70_less__special_I3_J,axiom,
% 26.12/26.18 ! [Xa] :
% 26.12/26.18 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_71_less__special_I1_J,axiom,
% 26.12/26.18 ! [Ya] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_72_less__special_I1_J,axiom,
% 26.12/26.18 ! [Ya] :
% 26.12/26.18 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_73_rel__simps_I12_J,axiom,
% 26.12/26.18 ! [K] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_74_less__int__code_I15_J,axiom,
% 26.12/26.18 ! [K1,K2] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_75_rel__simps_I16_J,axiom,
% 26.12/26.18 ! [K,L_1] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit0(L_1)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_76_rel__simps_I10_J,axiom,
% 26.12/26.18 ! [K] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),pls))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_77_rel__simps_I4_J,axiom,
% 26.12/26.18 ! [K] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_78_bin__less__0__simps_I4_J,axiom,
% 26.12/26.18 ! [Wa] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_79_bin__less__0__simps_I1_J,axiom,
% 26.12/26.18 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_80_bin__less__0__simps_I3_J,axiom,
% 26.12/26.18 ! [Wa] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_81_int__0__less__1,axiom,
% 26.12/26.18 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_82_zless__add1__eq,axiom,
% 26.12/26.18 ! [Wa,Z_1] :
% 26.12/26.18 ( ( is_int(Wa)
% 26.12/26.18 & is_int(Z_1) )
% 26.12/26.18 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))
% 26.12/26.18 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1))
% 26.12/26.18 | Wa = Z_1 ) ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_83_int__less__0__conv,axiom,
% 26.12/26.18 ! [K_1] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_1)),zero_zero_int)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_84_less__special_I4_J,axiom,
% 26.12/26.18 ! [Xa] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_85_less__special_I4_J,axiom,
% 26.12/26.18 ! [Xa] :
% 26.12/26.18 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_86_less__special_I2_J,axiom,
% 26.12/26.18 ! [Ya] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_87_less__special_I2_J,axiom,
% 26.12/26.18 ! [Ya] :
% 26.12/26.18 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya)))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_88_odd__less__0,axiom,
% 26.12/26.18 ! [Z_1] :
% 26.12/26.18 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1)),zero_zero_int))
% 26.12/26.18 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_89_double__eq__0__iff,axiom,
% 26.12/26.18 ! [A_1] :
% 26.12/26.18 ( is_int(A_1)
% 26.12/26.18 => ( plus_plus_int(A_1,A_1) = zero_zero_int
% 26.12/26.18 <=> A_1 = zero_zero_int ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_90_double__eq__0__iff,axiom,
% 26.12/26.18 ! [A_1] :
% 26.12/26.18 ( plus_plus_real(A_1,A_1) = zero_zero_real
% 26.12/26.18 <=> A_1 = zero_zero_real ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_91_rel__simps_I46_J,axiom,
% 26.12/26.18 ! [K_1] : bit1(K_1) != pls ).
% 26.12/26.18
% 26.12/26.18 fof(fact_92_rel__simps_I39_J,axiom,
% 26.12/26.18 ! [L] : pls != bit1(L) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_93_rel__simps_I50_J,axiom,
% 26.12/26.18 ! [K_1,L] : bit1(K_1) != bit0(L) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_94_rel__simps_I49_J,axiom,
% 26.12/26.18 ! [K_1,L] : bit0(K_1) != bit1(L) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_95_rel__simps_I44_J,axiom,
% 26.12/26.18 ! [K] :
% 26.12/26.18 ( is_int(K)
% 26.12/26.18 => ( bit0(K) = pls
% 26.12/26.18 <=> K = pls ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_96_rel__simps_I38_J,axiom,
% 26.12/26.18 ! [L_1] :
% 26.12/26.18 ( is_int(L_1)
% 26.12/26.18 => ( pls = bit0(L_1)
% 26.12/26.18 <=> pls = L_1 ) ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_97_Bit0__Pls,axiom,
% 26.12/26.18 bit0(pls) = pls ).
% 26.12/26.18
% 26.12/26.18 fof(fact_98_Pls__def,axiom,
% 26.12/26.18 pls = zero_zero_int ).
% 26.12/26.18
% 26.12/26.18 fof(fact_99_int__0__neq__1,axiom,
% 26.12/26.18 zero_zero_int != one_one_int ).
% 26.12/26.18
% 26.12/26.18 fof(fact_100_add__Pls__right,axiom,
% 26.12/26.18 ! [K_1] :
% 26.12/26.18 ( is_int(K_1)
% 26.12/26.18 => plus_plus_int(K_1,pls) = K_1 ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_101_add__Pls,axiom,
% 26.12/26.18 ! [K_1] :
% 26.12/26.18 ( is_int(K_1)
% 26.12/26.18 => plus_plus_int(pls,K_1) = K_1 ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_102_add__Bit0__Bit0,axiom,
% 26.12/26.18 ! [K_1,L] : plus_plus_int(bit0(K_1),bit0(L)) = bit0(plus_plus_int(K_1,L)) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_103_Bit0__def,axiom,
% 26.12/26.18 ! [K_1] : bit0(K_1) = plus_plus_int(K_1,K_1) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_104_zadd__0__right,axiom,
% 26.12/26.18 ! [Z] :
% 26.12/26.18 ( is_int(Z)
% 26.12/26.18 => plus_plus_int(Z,zero_zero_int) = Z ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_105_zadd__0,axiom,
% 26.12/26.18 ! [Z] :
% 26.12/26.18 ( is_int(Z)
% 26.12/26.18 => plus_plus_int(zero_zero_int,Z) = Z ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_106_semiring__numeral__0__eq__0,axiom,
% 26.12/26.18 number_number_of_int(pls) = zero_zero_int ).
% 26.12/26.18
% 26.12/26.18 fof(fact_107_semiring__numeral__0__eq__0,axiom,
% 26.12/26.18 number_number_of_nat(pls) = zero_zero_nat ).
% 26.12/26.18
% 26.12/26.18 fof(fact_108_semiring__numeral__0__eq__0,axiom,
% 26.12/26.18 number267125858f_real(pls) = zero_zero_real ).
% 26.12/26.18
% 26.12/26.18 fof(fact_109_number__of__Pls,axiom,
% 26.12/26.18 number_number_of_int(pls) = zero_zero_int ).
% 26.12/26.18
% 26.12/26.18 fof(fact_110_number__of__Pls,axiom,
% 26.12/26.18 number267125858f_real(pls) = zero_zero_real ).
% 26.12/26.18
% 26.12/26.18 fof(fact_111_semiring__norm_I112_J,axiom,
% 26.12/26.18 zero_zero_int = number_number_of_int(pls) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_112_semiring__norm_I112_J,axiom,
% 26.12/26.18 zero_zero_real = number267125858f_real(pls) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_113_add__numeral__0,axiom,
% 26.12/26.18 ! [A_100] :
% 26.12/26.18 ( is_int(A_100)
% 26.12/26.18 => plus_plus_int(number_number_of_int(pls),A_100) = A_100 ) ).
% 26.12/26.18
% 26.12/26.18 fof(fact_114_add__numeral__0,axiom,
% 26.12/26.18 ! [A_100] : plus_plus_real(number267125858f_real(pls),A_100) = A_100 ).
% 26.12/26.18
% 26.12/26.18 fof(fact_115_add__numeral__0__right,axiom,
% 26.12/26.18 ! [A_99] :
% 26.12/26.19 ( is_int(A_99)
% 26.12/26.19 => plus_plus_int(A_99,number_number_of_int(pls)) = A_99 ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_116_add__numeral__0__right,axiom,
% 26.12/26.19 ! [A_99] : plus_plus_real(A_99,number267125858f_real(pls)) = A_99 ).
% 26.12/26.19
% 26.12/26.19 fof(fact_117_power__eq__0__iff__number__of,axiom,
% 26.12/26.19 ! [A_1,Wa] :
% 26.12/26.19 ( is_int(A_1)
% 26.12/26.19 => ( hAPP_nat_int(power_power_int(A_1),number_number_of_nat(Wa)) = zero_zero_int
% 26.12/26.19 <=> ( A_1 = zero_zero_int
% 26.12/26.19 & number_number_of_nat(Wa) != zero_zero_nat ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_118_power__eq__0__iff__number__of,axiom,
% 26.12/26.19 ! [A_1,Wa] :
% 26.12/26.19 ( hAPP_nat_nat(power_power_nat(A_1),number_number_of_nat(Wa)) = zero_zero_nat
% 26.12/26.19 <=> ( A_1 = zero_zero_nat
% 26.12/26.19 & number_number_of_nat(Wa) != zero_zero_nat ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_119_power__eq__0__iff__number__of,axiom,
% 26.12/26.19 ! [A_1,Wa] :
% 26.12/26.19 ( hAPP_nat_real(power_power_real(A_1),number_number_of_nat(Wa)) = zero_zero_real
% 26.12/26.19 <=> ( A_1 = zero_zero_real
% 26.12/26.19 & number_number_of_nat(Wa) != zero_zero_nat ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_120_add__number__of__left,axiom,
% 26.12/26.19 ! [V_16,W_11,Z_6] : plus_plus_int(number_number_of_int(V_16),plus_plus_int(number_number_of_int(W_11),Z_6)) = plus_plus_int(number_number_of_int(plus_plus_int(V_16,W_11)),Z_6) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_121_add__number__of__left,axiom,
% 26.12/26.19 ! [V_16,W_11,Z_6] : plus_plus_real(number267125858f_real(V_16),plus_plus_real(number267125858f_real(W_11),Z_6)) = plus_plus_real(number267125858f_real(plus_plus_int(V_16,W_11)),Z_6) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_122_add__number__of__eq,axiom,
% 26.12/26.19 ! [V_15,W_10] : plus_plus_int(number_number_of_int(V_15),number_number_of_int(W_10)) = number_number_of_int(plus_plus_int(V_15,W_10)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_123_add__number__of__eq,axiom,
% 26.12/26.19 ! [V_15,W_10] : plus_plus_real(number267125858f_real(V_15),number267125858f_real(W_10)) = number267125858f_real(plus_plus_int(V_15,W_10)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_124_number__of__add,axiom,
% 26.12/26.19 ! [V_14,W_9] : number_number_of_int(plus_plus_int(V_14,W_9)) = plus_plus_int(number_number_of_int(V_14),number_number_of_int(W_9)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_125_number__of__add,axiom,
% 26.12/26.19 ! [V_14,W_9] : number267125858f_real(plus_plus_int(V_14,W_9)) = plus_plus_real(number267125858f_real(V_14),number267125858f_real(W_9)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_126_add__Bit1__Bit0,axiom,
% 26.12/26.19 ! [K_1,L] : plus_plus_int(bit1(K_1),bit0(L)) = bit1(plus_plus_int(K_1,L)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_127_add__Bit0__Bit1,axiom,
% 26.12/26.19 ! [K_1,L] : plus_plus_int(bit0(K_1),bit1(L)) = bit1(plus_plus_int(K_1,L)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_128_Bit1__def,axiom,
% 26.12/26.19 ! [K_1] : bit1(K_1) = plus_plus_int(plus_plus_int(one_one_int,K_1),K_1) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_129_odd__nonzero,axiom,
% 26.12/26.19 ! [Z] : plus_plus_int(plus_plus_int(one_one_int,Z),Z) != zero_zero_int ).
% 26.12/26.19
% 26.12/26.19 fof(fact_130_number__of__int,axiom,
% 26.12/26.19 ! [N_26] : number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,N_26)) = hAPP_nat_nat(semiri984289939at_nat,N_26) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_131_number__of__int,axiom,
% 26.12/26.19 ! [N_26] : number_number_of_int(hAPP_nat_int(semiri1621563631at_int,N_26)) = hAPP_nat_int(semiri1621563631at_int,N_26) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_132_number__of__int,axiom,
% 26.12/26.19 ! [N_26] : number267125858f_real(hAPP_nat_int(semiri1621563631at_int,N_26)) = hAPP_nat_real(semiri132038758t_real,N_26) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_133_zero__less__power2,axiom,
% 26.12/26.19 ! [A_1] :
% 26.12/26.19 ( is_int(A_1)
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls))))))
% 26.12/26.19 <=> A_1 != zero_zero_int ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_134_zero__less__power2,axiom,
% 26.12/26.19 ! [A_1] :
% 26.12/26.19 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_1),number_number_of_nat(bit0(bit1(pls))))))
% 26.12/26.19 <=> A_1 != zero_zero_real ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_135_power2__less__0,axiom,
% 26.12/26.19 ! [A_98] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_98),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_136_power2__less__0,axiom,
% 26.12/26.19 ! [A_98] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_98),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_137_sum__power2__gt__zero__iff,axiom,
% 26.12/26.19 ! [Xa,Ya] :
% 26.12/26.19 ( ( is_int(Xa)
% 26.12/26.19 & is_int(Ya) )
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))
% 26.12/26.19 <=> ( Xa != zero_zero_int
% 26.12/26.19 | Ya != zero_zero_int ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_138_sum__power2__gt__zero__iff,axiom,
% 26.12/26.19 ! [Xa,Ya] :
% 26.12/26.19 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))
% 26.12/26.19 <=> ( Xa != zero_zero_real
% 26.12/26.19 | Ya != zero_zero_real ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_139_not__sum__power2__lt__zero,axiom,
% 26.12/26.19 ! [X_15,Y_11] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(hAPP_nat_int(power_power_int(X_15),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Y_11),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_140_not__sum__power2__lt__zero,axiom,
% 26.12/26.19 ! [X_15,Y_11] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(hAPP_nat_real(power_power_real(X_15),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Y_11),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_141_number__of__Bit0,axiom,
% 26.12/26.19 ! [W_8] : number_number_of_int(bit0(W_8)) = plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(W_8)),number_number_of_int(W_8)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_142_number__of__Bit0,axiom,
% 26.12/26.19 ! [W_8] : number267125858f_real(bit0(W_8)) = plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(W_8)),number267125858f_real(W_8)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_143_number__of__Bit1,axiom,
% 26.12/26.19 ! [W_7] : number_number_of_int(bit1(W_7)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_7)),number_number_of_int(W_7)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_144_number__of__Bit1,axiom,
% 26.12/26.19 ! [W_7] : number267125858f_real(bit1(W_7)) = plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(W_7)),number267125858f_real(W_7)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_145_semiring__numeral__1__eq__1,axiom,
% 26.12/26.19 number_number_of_int(bit1(pls)) = one_one_int ).
% 26.12/26.19
% 26.12/26.19 fof(fact_146_semiring__numeral__1__eq__1,axiom,
% 26.12/26.19 number_number_of_nat(bit1(pls)) = one_one_nat ).
% 26.12/26.19
% 26.12/26.19 fof(fact_147_semiring__numeral__1__eq__1,axiom,
% 26.12/26.19 number267125858f_real(bit1(pls)) = one_one_real ).
% 26.12/26.19
% 26.12/26.19 fof(fact_148_mn,axiom,
% 26.12/26.19 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_149_of__nat__less__two__power,axiom,
% 26.12/26.19 ! [N_25] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_25)),hAPP_nat_int(power_power_int(number_number_of_int(bit0(bit1(pls)))),N_25))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_150_of__nat__less__two__power,axiom,
% 26.12/26.19 ! [N_25] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_25)),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_25))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_151_transfer__int__nat__numerals_I3_J,axiom,
% 26.12/26.19 number_number_of_int(bit0(bit1(pls))) = hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls)))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_152_transfer__int__nat__numerals_I4_J,axiom,
% 26.12/26.19 number_number_of_int(bit1(bit1(pls))) = hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_153_realpow__two__sum__zero__iff,axiom,
% 26.12/26.19 ! [Xa,Ya] :
% 26.12/26.19 ( plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real
% 26.12/26.19 <=> ( Xa = zero_zero_real
% 26.12/26.19 & Ya = zero_zero_real ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_154_of__nat__0__less__iff,axiom,
% 26.12/26.19 ! [Na] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_155_of__nat__0__less__iff,axiom,
% 26.12/26.19 ! [Na] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_156_of__nat__0__less__iff,axiom,
% 26.12/26.19 ! [Na] :
% 26.12/26.19 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_157_one__less__power,axiom,
% 26.12/26.19 ! [N_24,A_97] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_97))
% 26.12/26.19 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))
% 26.12/26.19 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A_97),N_24))) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_158_one__less__power,axiom,
% 26.12/26.19 ! [N_24,A_97] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_97))
% 26.12/26.19 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_97),N_24))) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_159_one__less__power,axiom,
% 26.12/26.19 ! [N_24,A_97] :
% 26.12/26.19 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_97))
% 26.12/26.19 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_24))
% 26.12/26.19 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A_97),N_24))) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_160_power__0__left,axiom,
% 26.12/26.19 ! [N_23] :
% 26.12/26.19 ( ( N_23 = zero_zero_nat
% 26.12/26.19 => hAPP_nat_int(power_power_int(zero_zero_int),N_23) = one_one_int )
% 26.12/26.19 & ( N_23 != zero_zero_nat
% 26.12/26.19 => hAPP_nat_int(power_power_int(zero_zero_int),N_23) = zero_zero_int ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_161_power__0__left,axiom,
% 26.12/26.19 ! [N_23] :
% 26.12/26.19 ( ( N_23 = zero_zero_nat
% 26.12/26.19 => hAPP_nat_nat(power_power_nat(zero_zero_nat),N_23) = one_one_nat )
% 26.12/26.19 & ( N_23 != zero_zero_nat
% 26.12/26.19 => hAPP_nat_nat(power_power_nat(zero_zero_nat),N_23) = zero_zero_nat ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_162_power__0__left,axiom,
% 26.12/26.19 ! [N_23] :
% 26.12/26.19 ( ( N_23 = zero_zero_nat
% 26.12/26.19 => hAPP_nat_real(power_power_real(zero_zero_real),N_23) = one_one_real )
% 26.12/26.19 & ( N_23 != zero_zero_nat
% 26.12/26.19 => hAPP_nat_real(power_power_real(zero_zero_real),N_23) = zero_zero_real ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_163_power__strict__decreasing,axiom,
% 26.12/26.19 ! [A_96,N_22,N_21] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_96))
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_96),one_one_int))
% 26.12/26.19 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_96),N_21)),hAPP_nat_int(power_power_int(A_96),N_22))) ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_164_power__strict__decreasing,axiom,
% 26.12/26.19 ! [A_96,N_22,N_21] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))
% 26.12/26.19 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_96))
% 26.12/26.19 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_96),one_one_nat))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_96),N_21)),hAPP_nat_nat(power_power_nat(A_96),N_22))) ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_165_power__strict__decreasing,axiom,
% 26.12/26.19 ! [A_96,N_22,N_21] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_22),N_21))
% 26.12/26.19 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_96))
% 26.12/26.19 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_96),one_one_real))
% 26.12/26.19 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_96),N_21)),hAPP_nat_real(power_power_real(A_96),N_22))) ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_166_zero__less__two,axiom,
% 26.12/26.19 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,one_one_int))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_167_zero__less__two,axiom,
% 26.12/26.19 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(one_one_nat,one_one_nat))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_168_zero__less__two,axiom,
% 26.12/26.19 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(one_one_real,one_one_real))) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_169_int__gr__induct,axiom,
% 26.12/26.19 ! [P_1,K,I_1] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_1))
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(P_1,plus_plus_int(K,one_one_int)))
% 26.12/26.19 => ( ! [I] :
% 26.12/26.19 ( is_int(I)
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I))
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(P_1,I))
% 26.12/26.19 => hBOOL(hAPP_int_bool(P_1,plus_plus_int(I,one_one_int))) ) ) )
% 26.12/26.19 => hBOOL(hAPP_int_bool(P_1,I_1)) ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_170_transfer__int__nat__numerals_I1_J,axiom,
% 26.12/26.19 zero_zero_int = hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_171_tn0,axiom,
% 26.12/26.19 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_172_less__zeroE,axiom,
% 26.12/26.19 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_173_real__zero__not__eq__one,axiom,
% 26.12/26.19 zero_zero_real != one_one_real ).
% 26.12/26.19
% 26.12/26.19 fof(fact_174_less__not__refl,axiom,
% 26.12/26.19 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_175_not__add__less1,axiom,
% 26.12/26.19 ! [I_2,J_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,J_1)),I_2)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_176_not__add__less2,axiom,
% 26.12/26.19 ! [J_1,I_2] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(J_1,I_2)),I_2)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_177_number__of__is__id,axiom,
% 26.12/26.19 ! [K_1] :
% 26.12/26.19 ( is_int(K_1)
% 26.12/26.19 => number_number_of_int(K_1) = K_1 ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_178_nat__neq__iff,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( Ma != Na
% 26.12/26.19 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))
% 26.12/26.19 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_179_nat__add__commute,axiom,
% 26.12/26.19 ! [M,N] : plus_plus_nat(M,N) = plus_plus_nat(N,M) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_180_nat__add__left__commute,axiom,
% 26.12/26.19 ! [X,Y,Z] : plus_plus_nat(X,plus_plus_nat(Y,Z)) = plus_plus_nat(Y,plus_plus_nat(X,Z)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_181_nat__add__assoc,axiom,
% 26.12/26.19 ! [M,N,K_1] : plus_plus_nat(plus_plus_nat(M,N),K_1) = plus_plus_nat(M,plus_plus_nat(N,K_1)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_182_nat__add__left__cancel,axiom,
% 26.12/26.19 ! [K,Ma,Na] :
% 26.12/26.19 ( plus_plus_nat(K,Ma) = plus_plus_nat(K,Na)
% 26.12/26.19 <=> Ma = Na ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_183_nat__add__right__cancel,axiom,
% 26.12/26.19 ! [Ma,K,Na] :
% 26.12/26.19 ( plus_plus_nat(Ma,K) = plus_plus_nat(Na,K)
% 26.12/26.19 <=> Ma = Na ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_184_nat__add__left__cancel__less,axiom,
% 26.12/26.19 ! [K,Ma,Na] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_185_linorder__neqE__nat,axiom,
% 26.12/26.19 ! [X,Y] :
% 26.12/26.19 ( X != Y
% 26.12/26.19 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_186_less__irrefl__nat,axiom,
% 26.12/26.19 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_187_less__not__refl2,axiom,
% 26.12/26.19 ! [N,M] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))
% 26.12/26.19 => M != N ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_188_less__not__refl3,axiom,
% 26.12/26.19 ! [S_1,T_1] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_1),T_1))
% 26.12/26.19 => S_1 != T_1 ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_189_trans__less__add1,axiom,
% 26.12/26.19 ! [M,I_2,J_1] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),plus_plus_nat(J_1,M))) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_190_trans__less__add2,axiom,
% 26.12/26.19 ! [M,I_2,J_1] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),plus_plus_nat(M,J_1))) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_191_add__less__mono1,axiom,
% 26.12/26.19 ! [K_1,I_2,J_1] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,K_1))) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_192_add__less__mono,axiom,
% 26.12/26.19 ! [K_1,L,I_2,J_1] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 26.12/26.19 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,L))) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_193_less__add__eq__less,axiom,
% 26.12/26.19 ! [M,N,K_1,L] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L))
% 26.12/26.19 => ( plus_plus_nat(M,L) = plus_plus_nat(K_1,N)
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_194_add__lessD1,axiom,
% 26.12/26.19 ! [I_2,J_1,K_1] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_2,J_1)),K_1))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K_1)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_195_nat__less__cases,axiom,
% 26.12/26.19 ! [P_1,Ma,Na] :
% 26.12/26.19 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) )
% 26.12/26.19 => ( ( Ma = Na
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) )
% 26.12/26.19 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) )
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)) ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_196_gr0I,axiom,
% 26.12/26.19 ! [N] :
% 26.12/26.19 ( N != zero_zero_nat
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_197_gr__implies__not0,axiom,
% 26.12/26.19 ! [M,N] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 26.12/26.19 => N != zero_zero_nat ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_198_nat__power__less__imp__less,axiom,
% 26.12/26.19 ! [M,N,I_2] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I_2))
% 26.12/26.19 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(I_2),M)),hAPP_nat_nat(power_power_nat(I_2),N)))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_199_less__nat__zero__code,axiom,
% 26.12/26.19 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_200_nat__zero__less__power__iff,axiom,
% 26.12/26.19 ! [Xa,Na] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))
% 26.12/26.19 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))
% 26.12/26.19 | Na = zero_zero_nat ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_201_add__gr__0,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(Ma,Na)))
% 26.12/26.19 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))
% 26.12/26.19 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_202_neq0__conv,axiom,
% 26.12/26.19 ! [Na] :
% 26.12/26.19 ( Na != zero_zero_nat
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_203_not__less0,axiom,
% 26.12/26.19 ! [N] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_204_zero__less__power__nat__eq,axiom,
% 26.12/26.19 ! [Xa,Na] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))
% 26.12/26.19 <=> ( Na = zero_zero_nat
% 26.12/26.19 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_205_Nat__Transfer_Otransfer__int__nat__relations_I2_J,axiom,
% 26.12/26.19 ! [Xa,Ya] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_206_zero__less__power__nat__eq__number__of,axiom,
% 26.12/26.19 ! [Xa,Wa] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))
% 26.12/26.19 <=> ( number_number_of_nat(Wa) = zero_zero_nat
% 26.12/26.19 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_207_zless__int,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_208_less__nat__number__of,axiom,
% 26.12/26.19 ! [Va,V_3] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))
% 26.12/26.19 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V_3))
% 26.12/26.19 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_3)) )
% 26.12/26.19 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V_3)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_209_linorder__neqE__linordered__idom,axiom,
% 26.12/26.19 ! [X_14,Y_10] :
% 26.12/26.19 ( ( is_int(X_14)
% 26.12/26.19 & is_int(Y_10) )
% 26.12/26.19 => ( X_14 != Y_10
% 26.12/26.19 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_14),Y_10))
% 26.12/26.19 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_10),X_14)) ) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_210_linorder__neqE__linordered__idom,axiom,
% 26.12/26.19 ! [X_14,Y_10] :
% 26.12/26.19 ( X_14 != Y_10
% 26.12/26.19 => ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_14),Y_10))
% 26.12/26.19 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_10),X_14)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_211_add__eq__self__zero,axiom,
% 26.12/26.19 ! [M,N] :
% 26.12/26.19 ( plus_plus_nat(M,N) = M
% 26.12/26.19 => N = zero_zero_nat ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_212_add__is__0,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( plus_plus_nat(Ma,Na) = zero_zero_nat
% 26.12/26.19 <=> ( Ma = zero_zero_nat
% 26.12/26.19 & Na = zero_zero_nat ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_213_Nat_Oadd__0__right,axiom,
% 26.12/26.19 ! [M] : plus_plus_nat(M,zero_zero_nat) = M ).
% 26.12/26.19
% 26.12/26.19 fof(fact_214_plus__nat_Oadd__0,axiom,
% 26.12/26.19 ! [N] : plus_plus_nat(zero_zero_nat,N) = N ).
% 26.12/26.19
% 26.12/26.19 fof(fact_215_power__one__right,axiom,
% 26.12/26.19 ! [A_95] :
% 26.12/26.19 ( is_int(A_95)
% 26.12/26.19 => hAPP_nat_int(power_power_int(A_95),one_one_nat) = A_95 ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_216_power__one__right,axiom,
% 26.12/26.19 ! [A_95] : hAPP_nat_nat(power_power_nat(A_95),one_one_nat) = A_95 ).
% 26.12/26.19
% 26.12/26.19 fof(fact_217_power__one__right,axiom,
% 26.12/26.19 ! [A_95] : hAPP_nat_real(power_power_real(A_95),one_one_nat) = A_95 ).
% 26.12/26.19
% 26.12/26.19 fof(fact_218_of__nat__eq__iff,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hAPP_nat_real(semiri132038758t_real,Ma) = hAPP_nat_real(semiri132038758t_real,Na)
% 26.12/26.19 <=> Ma = Na ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_219_of__nat__eq__iff,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hAPP_nat_nat(semiri984289939at_nat,Ma) = hAPP_nat_nat(semiri984289939at_nat,Na)
% 26.12/26.19 <=> Ma = Na ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_220_of__nat__eq__iff,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hAPP_nat_int(semiri1621563631at_int,Ma) = hAPP_nat_int(semiri1621563631at_int,Na)
% 26.12/26.19 <=> Ma = Na ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_221_Nat__Transfer_Otransfer__int__nat__relations_I1_J,axiom,
% 26.12/26.19 ! [Xa,Ya] :
% 26.12/26.19 ( hAPP_nat_int(semiri1621563631at_int,Xa) = hAPP_nat_int(semiri1621563631at_int,Ya)
% 26.12/26.19 <=> Xa = Ya ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_222_int__if__cong,axiom,
% 26.12/26.19 ! [Xa,Ya,P_1] :
% 26.12/26.19 ( ( hBOOL(P_1)
% 26.12/26.19 => hAPP_nat_int(semiri1621563631at_int,Xa) = hAPP_nat_int(semiri1621563631at_int,if_nat(P_1,Xa,Ya)) )
% 26.12/26.19 & ( ~ hBOOL(P_1)
% 26.12/26.19 => hAPP_nat_int(semiri1621563631at_int,Ya) = hAPP_nat_int(semiri1621563631at_int,if_nat(P_1,Xa,Ya)) ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_223_less__0__number__of,axiom,
% 26.12/26.19 ! [Va] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va)))
% 26.12/26.19 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_224_zero__less__int__conv,axiom,
% 26.12/26.19 ! [Na] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_225_one__neq__zero,axiom,
% 26.12/26.19 one_one_int != zero_zero_int ).
% 26.12/26.19
% 26.12/26.19 fof(fact_226_one__neq__zero,axiom,
% 26.12/26.19 one_one_nat != zero_zero_nat ).
% 26.12/26.19
% 26.12/26.19 fof(fact_227_one__neq__zero,axiom,
% 26.12/26.19 one_one_real != zero_zero_real ).
% 26.12/26.19
% 26.12/26.19 fof(fact_228_zero__neq__one,axiom,
% 26.12/26.19 zero_zero_int != one_one_int ).
% 26.12/26.19
% 26.12/26.19 fof(fact_229_zero__neq__one,axiom,
% 26.12/26.19 zero_zero_nat != one_one_nat ).
% 26.12/26.19
% 26.12/26.19 fof(fact_230_zero__neq__one,axiom,
% 26.12/26.19 zero_zero_real != one_one_real ).
% 26.12/26.19
% 26.12/26.19 fof(fact_231_field__power__not__zero,axiom,
% 26.12/26.19 ! [N_20,A_94] :
% 26.12/26.19 ( is_int(A_94)
% 26.12/26.19 => ( A_94 != zero_zero_int
% 26.12/26.19 => hAPP_nat_int(power_power_int(A_94),N_20) != zero_zero_int ) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_232_field__power__not__zero,axiom,
% 26.12/26.19 ! [N_20,A_94] :
% 26.12/26.19 ( A_94 != zero_zero_real
% 26.12/26.19 => hAPP_nat_real(power_power_real(A_94),N_20) != zero_zero_real ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_233_power__one,axiom,
% 26.12/26.19 ! [N_19] : hAPP_nat_int(power_power_int(one_one_int),N_19) = one_one_int ).
% 26.12/26.19
% 26.12/26.19 fof(fact_234_power__one,axiom,
% 26.12/26.19 ! [N_19] : hAPP_nat_nat(power_power_nat(one_one_nat),N_19) = one_one_nat ).
% 26.12/26.19
% 26.12/26.19 fof(fact_235_power__one,axiom,
% 26.12/26.19 ! [N_19] : hAPP_nat_real(power_power_real(one_one_real),N_19) = one_one_real ).
% 26.12/26.19
% 26.12/26.19 fof(fact_236_of__nat__less__iff,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_237_of__nat__less__iff,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_238_of__nat__less__iff,axiom,
% 26.12/26.19 ! [Ma,Na] :
% 26.12/26.19 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))
% 26.12/26.19 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_239_less__imp__of__nat__less,axiom,
% 26.12/26.19 ! [M_10,N_18] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))
% 26.12/26.19 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_10)),hAPP_nat_int(semiri1621563631at_int,N_18))) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_240_less__imp__of__nat__less,axiom,
% 26.12/26.19 ! [M_10,N_18] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_10)),hAPP_nat_nat(semiri984289939at_nat,N_18))) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_241_less__imp__of__nat__less,axiom,
% 26.12/26.19 ! [M_10,N_18] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_18))
% 26.12/26.19 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_10)),hAPP_nat_real(semiri132038758t_real,N_18))) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_242_of__nat__less__imp__less,axiom,
% 26.12/26.19 ! [M_9,N_17] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_9)),hAPP_nat_int(semiri1621563631at_int,N_17)))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_243_of__nat__less__imp__less,axiom,
% 26.12/26.19 ! [M_9,N_17] :
% 26.12/26.19 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_9)),hAPP_nat_nat(semiri984289939at_nat,N_17)))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_244_of__nat__less__imp__less,axiom,
% 26.12/26.19 ! [M_9,N_17] :
% 26.12/26.19 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_9)),hAPP_nat_real(semiri132038758t_real,N_17)))
% 26.12/26.19 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_17)) ) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_245_of__nat__add,axiom,
% 26.12/26.19 ! [M_8,N_16] : hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(M_8,N_16)) = plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_8),hAPP_nat_int(semiri1621563631at_int,N_16)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_246_of__nat__add,axiom,
% 26.12/26.19 ! [M_8,N_16] : hAPP_nat_nat(semiri984289939at_nat,plus_plus_nat(M_8,N_16)) = plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,M_8),hAPP_nat_nat(semiri984289939at_nat,N_16)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_247_of__nat__add,axiom,
% 26.12/26.19 ! [M_8,N_16] : hAPP_nat_real(semiri132038758t_real,plus_plus_nat(M_8,N_16)) = plus_plus_real(hAPP_nat_real(semiri132038758t_real,M_8),hAPP_nat_real(semiri132038758t_real,N_16)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_248_of__nat__1,axiom,
% 26.12/26.19 hAPP_nat_int(semiri1621563631at_int,one_one_nat) = one_one_int ).
% 26.12/26.19
% 26.12/26.19 fof(fact_249_of__nat__1,axiom,
% 26.12/26.19 hAPP_nat_nat(semiri984289939at_nat,one_one_nat) = one_one_nat ).
% 26.12/26.19
% 26.12/26.19 fof(fact_250_of__nat__1,axiom,
% 26.12/26.19 hAPP_nat_real(semiri132038758t_real,one_one_nat) = one_one_real ).
% 26.12/26.19
% 26.12/26.19 fof(fact_251_of__nat__power,axiom,
% 26.12/26.19 ! [M_7,N_15] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_7),N_15)) = hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_7)),N_15) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_252_of__nat__power,axiom,
% 26.12/26.19 ! [M_7,N_15] : hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(M_7),N_15)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,M_7)),N_15) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_253_of__nat__power,axiom,
% 26.12/26.19 ! [M_7,N_15] : hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(M_7),N_15)) = hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,M_7)),N_15) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_254_transfer__int__nat__numerals_I2_J,axiom,
% 26.12/26.19 one_one_int = hAPP_nat_int(semiri1621563631at_int,one_one_nat) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_255_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 26.12/26.19 ! [X,Y] : plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,plus_plus_nat(X,Y)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_256_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 26.12/26.19 ! [X,N] : hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,X)),N) = hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(X),N)) ).
% 26.12/26.19
% 26.12/26.19 fof(fact_257_pos__add__strict,axiom,
% 26.12/26.19 ! [B_61,C_45,A_93] :
% 26.12/26.19 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_93))
% 26.12/26.19 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_61),C_45))
% 26.12/26.19 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_61),plus_plus_int(A_93,C_45))) ) ) ).
% 26.12/26.19
% 26.12/26.20 fof(fact_258_pos__add__strict,axiom,
% 26.12/26.20 ! [B_61,C_45,A_93] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_93))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_61),C_45))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_61),plus_plus_nat(A_93,C_45))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_259_pos__add__strict,axiom,
% 26.12/26.20 ! [B_61,C_45,A_93] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_93))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_61),C_45))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_61),plus_plus_real(A_93,C_45))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_260_not__one__less__zero,axiom,
% 26.12/26.20 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_261_not__one__less__zero,axiom,
% 26.12/26.20 ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_262_not__one__less__zero,axiom,
% 26.12/26.20 ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_263_zero__less__one,axiom,
% 26.12/26.20 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_264_zero__less__one,axiom,
% 26.12/26.20 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_265_zero__less__one,axiom,
% 26.12/26.20 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_266_zero__less__power,axiom,
% 26.12/26.20 ! [N_14,A_92] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_92))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_92),N_14))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_267_zero__less__power,axiom,
% 26.12/26.20 ! [N_14,A_92] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_92))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_92),N_14))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_268_zero__less__power,axiom,
% 26.12/26.20 ! [N_14,A_92] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_92))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_92),N_14))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_269_less__add__one,axiom,
% 26.12/26.20 ! [A_91] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_91),plus_plus_int(A_91,one_one_int))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_270_less__add__one,axiom,
% 26.12/26.20 ! [A_91] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_91),plus_plus_nat(A_91,one_one_nat))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_271_less__add__one,axiom,
% 26.12/26.20 ! [A_91] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_91),plus_plus_real(A_91,one_one_real))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_272_power__inject__exp,axiom,
% 26.12/26.20 ! [Ma,Na,A_1] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))
% 26.12/26.20 => ( hAPP_nat_int(power_power_int(A_1),Ma) = hAPP_nat_int(power_power_int(A_1),Na)
% 26.12/26.20 <=> Ma = Na ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_273_power__inject__exp,axiom,
% 26.12/26.20 ! [Ma,Na,A_1] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_1))
% 26.12/26.20 => ( hAPP_nat_nat(power_power_nat(A_1),Ma) = hAPP_nat_nat(power_power_nat(A_1),Na)
% 26.12/26.20 <=> Ma = Na ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_274_power__inject__exp,axiom,
% 26.12/26.20 ! [Ma,Na,A_1] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_1))
% 26.12/26.20 => ( hAPP_nat_real(power_power_real(A_1),Ma) = hAPP_nat_real(power_power_real(A_1),Na)
% 26.12/26.20 <=> Ma = Na ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_275_power__strict__increasing__iff,axiom,
% 26.12/26.20 ! [Xa,Ya,B] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_276_power__strict__increasing__iff,axiom,
% 26.12/26.20 ! [Xa,Ya,B] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_277_power__strict__increasing__iff,axiom,
% 26.12/26.20 ! [Xa,Ya,B] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_278_power__less__imp__less__exp,axiom,
% 26.12/26.20 ! [M_6,N_13,A_90] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_90))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_90),M_6)),hAPP_nat_int(power_power_int(A_90),N_13)))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_279_power__less__imp__less__exp,axiom,
% 26.12/26.20 ! [M_6,N_13,A_90] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_90))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_90),M_6)),hAPP_nat_nat(power_power_nat(A_90),N_13)))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_280_power__less__imp__less__exp,axiom,
% 26.12/26.20 ! [M_6,N_13,A_90] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_90))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_90),M_6)),hAPP_nat_real(power_power_real(A_90),N_13)))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_6),N_13)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_281_power__strict__increasing,axiom,
% 26.12/26.20 ! [A_89,N_12,N_11] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_89))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_89),N_12)),hAPP_nat_int(power_power_int(A_89),N_11))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_282_power__strict__increasing,axiom,
% 26.12/26.20 ! [A_89,N_12,N_11] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_89))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_89),N_12)),hAPP_nat_nat(power_power_nat(A_89),N_11))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_283_power__strict__increasing,axiom,
% 26.12/26.20 ! [A_89,N_12,N_11] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_12),N_11))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_89))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_89),N_12)),hAPP_nat_real(power_power_real(A_89),N_11))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_284_power__eq__0__iff,axiom,
% 26.12/26.20 ! [A_1,Na] :
% 26.12/26.20 ( is_int(A_1)
% 26.12/26.20 => ( hAPP_nat_int(power_power_int(A_1),Na) = zero_zero_int
% 26.12/26.20 <=> ( A_1 = zero_zero_int
% 26.12/26.20 & Na != zero_zero_nat ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_285_power__eq__0__iff,axiom,
% 26.12/26.20 ! [A_1,Na] :
% 26.12/26.20 ( hAPP_nat_nat(power_power_nat(A_1),Na) = zero_zero_nat
% 26.12/26.20 <=> ( A_1 = zero_zero_nat
% 26.12/26.20 & Na != zero_zero_nat ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_286_power__eq__0__iff,axiom,
% 26.12/26.20 ! [A_1,Na] :
% 26.12/26.20 ( hAPP_nat_real(power_power_real(A_1),Na) = zero_zero_real
% 26.12/26.20 <=> ( A_1 = zero_zero_real
% 26.12/26.20 & Na != zero_zero_nat ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_287_of__nat__less__0__iff,axiom,
% 26.12/26.20 ! [M_5] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_5)),zero_zero_int)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_288_of__nat__less__0__iff,axiom,
% 26.12/26.20 ! [M_5] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_5)),zero_zero_nat)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_289_of__nat__less__0__iff,axiom,
% 26.12/26.20 ! [M_5] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_5)),zero_zero_real)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_290_power__0,axiom,
% 26.12/26.20 ! [A_88] : hAPP_nat_int(power_power_int(A_88),zero_zero_nat) = one_one_int ).
% 26.12/26.20
% 26.12/26.20 fof(fact_291_power__0,axiom,
% 26.12/26.20 ! [A_88] : hAPP_nat_nat(power_power_nat(A_88),zero_zero_nat) = one_one_nat ).
% 26.12/26.20
% 26.12/26.20 fof(fact_292_power__0,axiom,
% 26.12/26.20 ! [A_88] : hAPP_nat_real(power_power_real(A_88),zero_zero_nat) = one_one_real ).
% 26.12/26.20
% 26.12/26.20 fof(fact_293_of__nat__0,axiom,
% 26.12/26.20 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat) = zero_zero_int ).
% 26.12/26.20
% 26.12/26.20 fof(fact_294_of__nat__0,axiom,
% 26.12/26.20 hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat) = zero_zero_nat ).
% 26.12/26.20
% 26.12/26.20 fof(fact_295_of__nat__0,axiom,
% 26.12/26.20 hAPP_nat_real(semiri132038758t_real,zero_zero_nat) = zero_zero_real ).
% 26.12/26.20
% 26.12/26.20 fof(fact_296_pos2,axiom,
% 26.12/26.20 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_297_zero__less__imp__eq__int,axiom,
% 26.12/26.20 ! [K_1] :
% 26.12/26.20 ( is_int(K_1)
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))
% 26.12/26.20 => ? [N_1] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))
% 26.12/26.20 & K_1 = hAPP_nat_int(semiri1621563631at_int,N_1) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_298_less__imp__add__positive,axiom,
% 26.12/26.20 ! [I_2,J_1] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 26.12/26.20 => ? [K_2] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))
% 26.12/26.20 & plus_plus_nat(I_2,K_2) = J_1 ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_299_exp__eq__1,axiom,
% 26.12/26.20 ! [Xa,Na] :
% 26.12/26.20 ( hAPP_nat_nat(power_power_nat(Xa),Na) = one_one_nat
% 26.12/26.20 <=> ( Xa = one_one_nat
% 26.12/26.20 | Na = zero_zero_nat ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_300_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 26.12/26.20 ! [X_13] : hAPP_nat_int(power_power_int(X_13),zero_zero_nat) = one_one_int ).
% 26.12/26.20
% 26.12/26.20 fof(fact_301_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 26.12/26.20 ! [X_13] : hAPP_nat_nat(power_power_nat(X_13),zero_zero_nat) = one_one_nat ).
% 26.12/26.20
% 26.12/26.20 fof(fact_302_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 26.12/26.20 ! [X_13] : hAPP_nat_real(power_power_real(X_13),zero_zero_nat) = one_one_real ).
% 26.12/26.20
% 26.12/26.20 fof(fact_303_zero__less__double__add__iff__zero__less__single__add,axiom,
% 26.12/26.20 ! [A_1] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_1,A_1)))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_304_zero__less__double__add__iff__zero__less__single__add,axiom,
% 26.12/26.20 ! [A_1] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A_1,A_1)))
% 26.12/26.20 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_1)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_305_double__add__less__zero__iff__single__add__less__zero,axiom,
% 26.12/26.20 ! [A_1] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,A_1)),zero_zero_int))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_306_double__add__less__zero__iff__single__add__less__zero,axiom,
% 26.12/26.20 ! [A_1] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,A_1)),zero_zero_real))
% 26.12/26.20 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_307_add__pos__pos,axiom,
% 26.12/26.20 ! [B_60,A_87] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_87))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_60))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A_87,B_60))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_308_add__pos__pos,axiom,
% 26.12/26.20 ! [B_60,A_87] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_87))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_60))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A_87,B_60))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_309_add__pos__pos,axiom,
% 26.12/26.20 ! [B_60,A_87] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_87))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_60))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(A_87,B_60))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_310_add__neg__neg,axiom,
% 26.12/26.20 ! [B_59,A_86] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_86),zero_zero_int))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_59),zero_zero_int))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_86,B_59)),zero_zero_int)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_311_add__neg__neg,axiom,
% 26.12/26.20 ! [B_59,A_86] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_86),zero_zero_nat))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_59),zero_zero_nat))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_86,B_59)),zero_zero_nat)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_312_add__neg__neg,axiom,
% 26.12/26.20 ! [B_59,A_86] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_86),zero_zero_real))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_59),zero_zero_real))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_86,B_59)),zero_zero_real)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_313_zero__reorient,axiom,
% 26.12/26.20 ! [Xa] :
% 26.12/26.20 ( is_int(Xa)
% 26.12/26.20 => ( zero_zero_int = Xa
% 26.12/26.20 <=> Xa = zero_zero_int ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_314_zero__reorient,axiom,
% 26.12/26.20 ! [Xa] :
% 26.12/26.20 ( zero_zero_nat = Xa
% 26.12/26.20 <=> Xa = zero_zero_nat ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_315_zero__reorient,axiom,
% 26.12/26.20 ! [Xa] :
% 26.12/26.20 ( zero_zero_real = Xa
% 26.12/26.20 <=> Xa = zero_zero_real ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_316_add__right__imp__eq,axiom,
% 26.12/26.20 ! [B_58,A_85,C_44] :
% 26.12/26.20 ( ( is_int(B_58)
% 26.12/26.20 & is_int(C_44) )
% 26.12/26.20 => ( plus_plus_int(B_58,A_85) = plus_plus_int(C_44,A_85)
% 26.12/26.20 => B_58 = C_44 ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_317_add__right__imp__eq,axiom,
% 26.12/26.20 ! [B_58,A_85,C_44] :
% 26.12/26.20 ( plus_plus_nat(B_58,A_85) = plus_plus_nat(C_44,A_85)
% 26.12/26.20 => B_58 = C_44 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_318_add__right__imp__eq,axiom,
% 26.12/26.20 ! [B_58,A_85,C_44] :
% 26.12/26.20 ( plus_plus_real(B_58,A_85) = plus_plus_real(C_44,A_85)
% 26.12/26.20 => B_58 = C_44 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_319_add__imp__eq,axiom,
% 26.12/26.20 ! [A_84,B_57,C_43] :
% 26.12/26.20 ( ( is_int(B_57)
% 26.12/26.20 & is_int(C_43) )
% 26.12/26.20 => ( plus_plus_int(A_84,B_57) = plus_plus_int(A_84,C_43)
% 26.12/26.20 => B_57 = C_43 ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_320_add__imp__eq,axiom,
% 26.12/26.20 ! [A_84,B_57,C_43] :
% 26.12/26.20 ( plus_plus_nat(A_84,B_57) = plus_plus_nat(A_84,C_43)
% 26.12/26.20 => B_57 = C_43 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_321_add__imp__eq,axiom,
% 26.12/26.20 ! [A_84,B_57,C_43] :
% 26.12/26.20 ( plus_plus_real(A_84,B_57) = plus_plus_real(A_84,C_43)
% 26.12/26.20 => B_57 = C_43 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_322_add__left__imp__eq,axiom,
% 26.12/26.20 ! [A_83,B_56,C_42] :
% 26.12/26.20 ( ( is_int(B_56)
% 26.12/26.20 & is_int(C_42) )
% 26.12/26.20 => ( plus_plus_int(A_83,B_56) = plus_plus_int(A_83,C_42)
% 26.12/26.20 => B_56 = C_42 ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_323_add__left__imp__eq,axiom,
% 26.12/26.20 ! [A_83,B_56,C_42] :
% 26.12/26.20 ( plus_plus_nat(A_83,B_56) = plus_plus_nat(A_83,C_42)
% 26.12/26.20 => B_56 = C_42 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_324_add__left__imp__eq,axiom,
% 26.12/26.20 ! [A_83,B_56,C_42] :
% 26.12/26.20 ( plus_plus_real(A_83,B_56) = plus_plus_real(A_83,C_42)
% 26.12/26.20 => B_56 = C_42 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_325_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 26.12/26.20 ! [A_82,B_55,C_41,D_14] : plus_plus_int(plus_plus_int(A_82,B_55),plus_plus_int(C_41,D_14)) = plus_plus_int(plus_plus_int(A_82,C_41),plus_plus_int(B_55,D_14)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_326_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 26.12/26.20 ! [A_82,B_55,C_41,D_14] : plus_plus_nat(plus_plus_nat(A_82,B_55),plus_plus_nat(C_41,D_14)) = plus_plus_nat(plus_plus_nat(A_82,C_41),plus_plus_nat(B_55,D_14)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_327_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 26.12/26.20 ! [A_82,B_55,C_41,D_14] : plus_plus_real(plus_plus_real(A_82,B_55),plus_plus_real(C_41,D_14)) = plus_plus_real(plus_plus_real(A_82,C_41),plus_plus_real(B_55,D_14)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_328_add__right__cancel,axiom,
% 26.12/26.20 ! [B,A_1,C_1] :
% 26.12/26.20 ( ( is_int(B)
% 26.12/26.20 & is_int(C_1) )
% 26.12/26.20 => ( plus_plus_int(B,A_1) = plus_plus_int(C_1,A_1)
% 26.12/26.20 <=> B = C_1 ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_329_add__right__cancel,axiom,
% 26.12/26.20 ! [B,A_1,C_1] :
% 26.12/26.20 ( plus_plus_nat(B,A_1) = plus_plus_nat(C_1,A_1)
% 26.12/26.20 <=> B = C_1 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_330_add__right__cancel,axiom,
% 26.12/26.20 ! [B,A_1,C_1] :
% 26.12/26.20 ( plus_plus_real(B,A_1) = plus_plus_real(C_1,A_1)
% 26.12/26.20 <=> B = C_1 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_331_add__left__cancel,axiom,
% 26.12/26.20 ! [A_1,B,C_1] :
% 26.12/26.20 ( ( is_int(B)
% 26.12/26.20 & is_int(C_1) )
% 26.12/26.20 => ( plus_plus_int(A_1,B) = plus_plus_int(A_1,C_1)
% 26.12/26.20 <=> B = C_1 ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_332_add__left__cancel,axiom,
% 26.12/26.20 ! [A_1,B,C_1] :
% 26.12/26.20 ( plus_plus_nat(A_1,B) = plus_plus_nat(A_1,C_1)
% 26.12/26.20 <=> B = C_1 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_333_add__left__cancel,axiom,
% 26.12/26.20 ! [A_1,B,C_1] :
% 26.12/26.20 ( plus_plus_real(A_1,B) = plus_plus_real(A_1,C_1)
% 26.12/26.20 <=> B = C_1 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 26.12/26.20 ! [A_81,B_54,C_40] : plus_plus_int(plus_plus_int(A_81,B_54),C_40) = plus_plus_int(plus_plus_int(A_81,C_40),B_54) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_335_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 26.12/26.20 ! [A_81,B_54,C_40] : plus_plus_nat(plus_plus_nat(A_81,B_54),C_40) = plus_plus_nat(plus_plus_nat(A_81,C_40),B_54) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_336_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 26.12/26.20 ! [A_81,B_54,C_40] : plus_plus_real(plus_plus_real(A_81,B_54),C_40) = plus_plus_real(plus_plus_real(A_81,C_40),B_54) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_337_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 26.12/26.20 ! [A_80,B_53,C_39] : plus_plus_int(plus_plus_int(A_80,B_53),C_39) = plus_plus_int(A_80,plus_plus_int(B_53,C_39)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_338_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 26.12/26.20 ! [A_80,B_53,C_39] : plus_plus_nat(plus_plus_nat(A_80,B_53),C_39) = plus_plus_nat(A_80,plus_plus_nat(B_53,C_39)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_339_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 26.12/26.20 ! [A_80,B_53,C_39] : plus_plus_real(plus_plus_real(A_80,B_53),C_39) = plus_plus_real(A_80,plus_plus_real(B_53,C_39)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_340_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 26.12/26.20 ! [A_79,B_52,C_38] : plus_plus_int(plus_plus_int(A_79,B_52),C_38) = plus_plus_int(A_79,plus_plus_int(B_52,C_38)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 26.12/26.20 ! [A_79,B_52,C_38] : plus_plus_nat(plus_plus_nat(A_79,B_52),C_38) = plus_plus_nat(A_79,plus_plus_nat(B_52,C_38)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 26.12/26.20 ! [A_79,B_52,C_38] : plus_plus_real(plus_plus_real(A_79,B_52),C_38) = plus_plus_real(A_79,plus_plus_real(B_52,C_38)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 26.12/26.20 ! [A_78,C_37,D_13] : plus_plus_int(A_78,plus_plus_int(C_37,D_13)) = plus_plus_int(plus_plus_int(A_78,C_37),D_13) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 26.12/26.20 ! [A_78,C_37,D_13] : plus_plus_nat(A_78,plus_plus_nat(C_37,D_13)) = plus_plus_nat(plus_plus_nat(A_78,C_37),D_13) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 26.12/26.20 ! [A_78,C_37,D_13] : plus_plus_real(A_78,plus_plus_real(C_37,D_13)) = plus_plus_real(plus_plus_real(A_78,C_37),D_13) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 26.12/26.20 ! [A_77,C_36,D_12] : plus_plus_int(A_77,plus_plus_int(C_36,D_12)) = plus_plus_int(C_36,plus_plus_int(A_77,D_12)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 26.12/26.20 ! [A_77,C_36,D_12] : plus_plus_nat(A_77,plus_plus_nat(C_36,D_12)) = plus_plus_nat(C_36,plus_plus_nat(A_77,D_12)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 26.12/26.20 ! [A_77,C_36,D_12] : plus_plus_real(A_77,plus_plus_real(C_36,D_12)) = plus_plus_real(C_36,plus_plus_real(A_77,D_12)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 26.12/26.20 ! [A_76,C_35] : plus_plus_int(A_76,C_35) = plus_plus_int(C_35,A_76) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 26.12/26.20 ! [A_76,C_35] : plus_plus_nat(A_76,C_35) = plus_plus_nat(C_35,A_76) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_351_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 26.12/26.20 ! [A_76,C_35] : plus_plus_real(A_76,C_35) = plus_plus_real(C_35,A_76) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_352_one__reorient,axiom,
% 26.12/26.20 ! [Xa] :
% 26.12/26.20 ( is_int(Xa)
% 26.12/26.20 => ( one_one_int = Xa
% 26.12/26.20 <=> Xa = one_one_int ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_353_one__reorient,axiom,
% 26.12/26.20 ! [Xa] :
% 26.12/26.20 ( one_one_nat = Xa
% 26.12/26.20 <=> Xa = one_one_nat ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_354_one__reorient,axiom,
% 26.12/26.20 ! [Xa] :
% 26.12/26.20 ( one_one_real = Xa
% 26.12/26.20 <=> Xa = one_one_real ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_355_add__0__iff,axiom,
% 26.12/26.20 ! [B,A_1] :
% 26.12/26.20 ( ( is_int(B)
% 26.12/26.20 & is_int(A_1) )
% 26.12/26.20 => ( B = plus_plus_int(B,A_1)
% 26.12/26.20 <=> A_1 = zero_zero_int ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_356_add__0__iff,axiom,
% 26.12/26.20 ! [B,A_1] :
% 26.12/26.20 ( B = plus_plus_nat(B,A_1)
% 26.12/26.20 <=> A_1 = zero_zero_nat ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_357_add__0__iff,axiom,
% 26.12/26.20 ! [B,A_1] :
% 26.12/26.20 ( B = plus_plus_real(B,A_1)
% 26.12/26.20 <=> A_1 = zero_zero_real ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_358_add_Ocomm__neutral,axiom,
% 26.12/26.20 ! [A_75] :
% 26.12/26.20 ( is_int(A_75)
% 26.12/26.20 => plus_plus_int(A_75,zero_zero_int) = A_75 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_359_add_Ocomm__neutral,axiom,
% 26.12/26.20 ! [A_75] : plus_plus_nat(A_75,zero_zero_nat) = A_75 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_360_add_Ocomm__neutral,axiom,
% 26.12/26.20 ! [A_75] : plus_plus_real(A_75,zero_zero_real) = A_75 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_361_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 26.12/26.20 ! [A_74] :
% 26.12/26.20 ( is_int(A_74)
% 26.12/26.20 => plus_plus_int(A_74,zero_zero_int) = A_74 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 26.12/26.20 ! [A_74] : plus_plus_nat(A_74,zero_zero_nat) = A_74 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_363_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 26.12/26.20 ! [A_74] : plus_plus_real(A_74,zero_zero_real) = A_74 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_364_add__0__right,axiom,
% 26.12/26.20 ! [A_73] :
% 26.12/26.20 ( is_int(A_73)
% 26.12/26.20 => plus_plus_int(A_73,zero_zero_int) = A_73 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_365_add__0__right,axiom,
% 26.12/26.20 ! [A_73] : plus_plus_nat(A_73,zero_zero_nat) = A_73 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_366_add__0__right,axiom,
% 26.12/26.20 ! [A_73] : plus_plus_real(A_73,zero_zero_real) = A_73 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_367_double__zero__sym,axiom,
% 26.12/26.20 ! [A_1] :
% 26.12/26.20 ( is_int(A_1)
% 26.12/26.20 => ( zero_zero_int = plus_plus_int(A_1,A_1)
% 26.12/26.20 <=> A_1 = zero_zero_int ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_368_double__zero__sym,axiom,
% 26.12/26.20 ! [A_1] :
% 26.12/26.20 ( zero_zero_real = plus_plus_real(A_1,A_1)
% 26.12/26.20 <=> A_1 = zero_zero_real ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_369_add__0,axiom,
% 26.12/26.20 ! [A_72] :
% 26.12/26.20 ( is_int(A_72)
% 26.12/26.20 => plus_plus_int(zero_zero_int,A_72) = A_72 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_370_add__0,axiom,
% 26.12/26.20 ! [A_72] : plus_plus_nat(zero_zero_nat,A_72) = A_72 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_371_add__0,axiom,
% 26.12/26.20 ! [A_72] : plus_plus_real(zero_zero_real,A_72) = A_72 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_372_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 26.12/26.20 ! [A_71] :
% 26.12/26.20 ( is_int(A_71)
% 26.12/26.20 => plus_plus_int(zero_zero_int,A_71) = A_71 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_373_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 26.12/26.20 ! [A_71] : plus_plus_nat(zero_zero_nat,A_71) = A_71 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_374_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 26.12/26.20 ! [A_71] : plus_plus_real(zero_zero_real,A_71) = A_71 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_375_add__0__left,axiom,
% 26.12/26.20 ! [A_70] :
% 26.12/26.20 ( is_int(A_70)
% 26.12/26.20 => plus_plus_int(zero_zero_int,A_70) = A_70 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_376_add__0__left,axiom,
% 26.12/26.20 ! [A_70] : plus_plus_nat(zero_zero_nat,A_70) = A_70 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_377_add__0__left,axiom,
% 26.12/26.20 ! [A_70] : plus_plus_real(zero_zero_real,A_70) = A_70 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_378_add__less__imp__less__left,axiom,
% 26.12/26.20 ! [C_34,A_69,B_51] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_34,A_69)),plus_plus_int(C_34,B_51)))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_69),B_51)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_379_add__less__imp__less__left,axiom,
% 26.12/26.20 ! [C_34,A_69,B_51] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_34,A_69)),plus_plus_nat(C_34,B_51)))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_69),B_51)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_380_add__less__imp__less__left,axiom,
% 26.12/26.20 ! [C_34,A_69,B_51] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_34,A_69)),plus_plus_real(C_34,B_51)))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_69),B_51)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_381_add__less__imp__less__right,axiom,
% 26.12/26.20 ! [A_68,C_33,B_50] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_68,C_33)),plus_plus_int(B_50,C_33)))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_68),B_50)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_382_add__less__imp__less__right,axiom,
% 26.12/26.20 ! [A_68,C_33,B_50] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_68,C_33)),plus_plus_nat(B_50,C_33)))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_68),B_50)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_383_add__less__imp__less__right,axiom,
% 26.12/26.20 ! [A_68,C_33,B_50] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_68,C_33)),plus_plus_real(B_50,C_33)))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_68),B_50)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_384_add__strict__mono,axiom,
% 26.12/26.20 ! [C_32,D_11,A_67,B_49] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_67),B_49))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_32),D_11))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_67,C_32)),plus_plus_int(B_49,D_11))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_385_add__strict__mono,axiom,
% 26.12/26.20 ! [C_32,D_11,A_67,B_49] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_67),B_49))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_32),D_11))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_67,C_32)),plus_plus_nat(B_49,D_11))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_386_add__strict__mono,axiom,
% 26.12/26.20 ! [C_32,D_11,A_67,B_49] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_67),B_49))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_32),D_11))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_67,C_32)),plus_plus_real(B_49,D_11))) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_387_add__strict__left__mono,axiom,
% 26.12/26.20 ! [C_31,A_66,B_48] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_66),B_48))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_31,A_66)),plus_plus_int(C_31,B_48))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_388_add__strict__left__mono,axiom,
% 26.12/26.20 ! [C_31,A_66,B_48] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_66),B_48))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_31,A_66)),plus_plus_nat(C_31,B_48))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_389_add__strict__left__mono,axiom,
% 26.12/26.20 ! [C_31,A_66,B_48] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_66),B_48))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_31,A_66)),plus_plus_real(C_31,B_48))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_390_add__strict__right__mono,axiom,
% 26.12/26.20 ! [C_30,A_65,B_47] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_65),B_47))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_65,C_30)),plus_plus_int(B_47,C_30))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_391_add__strict__right__mono,axiom,
% 26.12/26.20 ! [C_30,A_65,B_47] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_65),B_47))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_65,C_30)),plus_plus_nat(B_47,C_30))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_392_add__strict__right__mono,axiom,
% 26.12/26.20 ! [C_30,A_65,B_47] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_65),B_47))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_65,C_30)),plus_plus_real(B_47,C_30))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_393_add__less__cancel__left,axiom,
% 26.12/26.20 ! [C_1,A_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_394_add__less__cancel__left,axiom,
% 26.12/26.20 ! [C_1,A_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_395_add__less__cancel__left,axiom,
% 26.12/26.20 ! [C_1,A_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))
% 26.12/26.20 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_396_add__less__cancel__right,axiom,
% 26.12/26.20 ! [A_1,C_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_397_add__less__cancel__right,axiom,
% 26.12/26.20 ! [A_1,C_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_398_add__less__cancel__right,axiom,
% 26.12/26.20 ! [A_1,C_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))
% 26.12/26.20 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_399_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 26.12/26.20 ! [X_12] :
% 26.12/26.20 ( is_int(X_12)
% 26.12/26.20 => hAPP_nat_int(power_power_int(X_12),one_one_nat) = X_12 ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_400_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 26.12/26.20 ! [X_12] : hAPP_nat_nat(power_power_nat(X_12),one_one_nat) = X_12 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_401_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 26.12/26.20 ! [X_12] : hAPP_nat_real(power_power_real(X_12),one_one_nat) = X_12 ).
% 26.12/26.20
% 26.12/26.20 fof(fact_402_nat__power__eq__0__iff,axiom,
% 26.12/26.20 ! [Ma,Na] :
% 26.12/26.20 ( hAPP_nat_nat(power_power_nat(Ma),Na) = zero_zero_nat
% 26.12/26.20 <=> ( Na != zero_zero_nat
% 26.12/26.20 & Ma = zero_zero_nat ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_403_realpow__pos__nth__unique,axiom,
% 26.12/26.20 ! [A,N] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))
% 26.12/26.20 => ? [X_1] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))
% 26.12/26.20 & hAPP_nat_real(power_power_real(X_1),N) = A
% 26.12/26.20 & ! [Y_1] :
% 26.12/26.20 ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))
% 26.12/26.20 & hAPP_nat_real(power_power_real(Y_1),N) = A )
% 26.12/26.20 => Y_1 = X_1 ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_404_realpow__pos__nth,axiom,
% 26.12/26.20 ! [A,N] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))
% 26.12/26.20 => ? [R] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R))
% 26.12/26.20 & hAPP_nat_real(power_power_real(R),N) = A ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_405_tpos,axiom,
% 26.12/26.20 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_406_nat__number__of__add__1,axiom,
% 26.12/26.20 ! [V_1] :
% 26.12/26.20 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.20 => plus_plus_nat(number_number_of_nat(V_1),one_one_nat) = one_one_nat )
% 26.12/26.20 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.20 => plus_plus_nat(number_number_of_nat(V_1),one_one_nat) = number_number_of_nat(succ(V_1)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_407_nat__1__add__number__of,axiom,
% 26.12/26.20 ! [V_1] :
% 26.12/26.20 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.20 => plus_plus_nat(one_one_nat,number_number_of_nat(V_1)) = one_one_nat )
% 26.12/26.20 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.20 => plus_plus_nat(one_one_nat,number_number_of_nat(V_1)) = number_number_of_nat(succ(V_1)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_408_zadd__power3,axiom,
% 26.12/26.20 ! [A,B_1] : hAPP_nat_int(power_power_int(plus_plus_int(A,B_1)),number_number_of_nat(bit1(bit1(pls)))) = plus_plus_int(plus_plus_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),B_1)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit1(bit1(pls))))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_409_zadd__power2,axiom,
% 26.12/26.20 ! [A,B_1] : hAPP_nat_int(power_power_int(plus_plus_int(A,B_1)),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B_1)),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls))))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_410_tn,axiom,
% 26.12/26.20 tn = minus_minus_nat(nat(t),one_one_nat) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_411__096_B_Bthesis_O_A_I_B_Btn_O_A_091_124_Atn_A_061_Anat_At_A_N_A1_059_A0_,axiom,
% 26.12/26.20 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(nat(t),one_one_nat))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_412_le__iff__diff__le__0,axiom,
% 26.12/26.20 ! [A_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),B))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,minus_minus_int(A_1,B)),zero_zero_int)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_413_le__iff__diff__le__0,axiom,
% 26.12/26.20 ! [A_1,B] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),B))
% 26.12/26.20 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,minus_minus_real(A_1,B)),zero_zero_real)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_414_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 26.12/26.20 ! [A_64,B_46] : times_times_int(A_64,B_46) = times_times_int(B_46,A_64) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_415_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 26.12/26.20 ! [A_64,B_46] : times_times_nat(A_64,B_46) = times_times_nat(B_46,A_64) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_416_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 26.12/26.20 ! [A_64,B_46] : times_times_real(A_64,B_46) = times_times_real(B_46,A_64) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_417_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 26.12/26.20 ! [Lx_6,Rx_6,Ry_4] : times_times_int(Lx_6,times_times_int(Rx_6,Ry_4)) = times_times_int(Rx_6,times_times_int(Lx_6,Ry_4)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_418_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 26.12/26.20 ! [Lx_6,Rx_6,Ry_4] : times_times_nat(Lx_6,times_times_nat(Rx_6,Ry_4)) = times_times_nat(Rx_6,times_times_nat(Lx_6,Ry_4)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_419_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 26.12/26.20 ! [Lx_6,Rx_6,Ry_4] : times_times_real(Lx_6,times_times_real(Rx_6,Ry_4)) = times_times_real(Rx_6,times_times_real(Lx_6,Ry_4)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_420_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 26.12/26.20 ! [Lx_5,Rx_5,Ry_3] : times_times_int(Lx_5,times_times_int(Rx_5,Ry_3)) = times_times_int(times_times_int(Lx_5,Rx_5),Ry_3) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_421_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 26.12/26.20 ! [Lx_5,Rx_5,Ry_3] : times_times_nat(Lx_5,times_times_nat(Rx_5,Ry_3)) = times_times_nat(times_times_nat(Lx_5,Rx_5),Ry_3) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_422_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 26.12/26.20 ! [Lx_5,Rx_5,Ry_3] : times_times_real(Lx_5,times_times_real(Rx_5,Ry_3)) = times_times_real(times_times_real(Lx_5,Rx_5),Ry_3) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_423_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 26.12/26.20 ! [A_63,B_45,C_29] : times_times_int(times_times_int(A_63,B_45),C_29) = times_times_int(A_63,times_times_int(B_45,C_29)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_424_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 26.12/26.20 ! [A_63,B_45,C_29] : times_times_nat(times_times_nat(A_63,B_45),C_29) = times_times_nat(A_63,times_times_nat(B_45,C_29)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_425_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 26.12/26.20 ! [A_63,B_45,C_29] : times_times_real(times_times_real(A_63,B_45),C_29) = times_times_real(A_63,times_times_real(B_45,C_29)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_426_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 26.12/26.20 ! [Lx_4,Ly_4,Rx_4] : times_times_int(times_times_int(Lx_4,Ly_4),Rx_4) = times_times_int(Lx_4,times_times_int(Ly_4,Rx_4)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_427_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 26.12/26.20 ! [Lx_4,Ly_4,Rx_4] : times_times_nat(times_times_nat(Lx_4,Ly_4),Rx_4) = times_times_nat(Lx_4,times_times_nat(Ly_4,Rx_4)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_428_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 26.12/26.20 ! [Lx_4,Ly_4,Rx_4] : times_times_real(times_times_real(Lx_4,Ly_4),Rx_4) = times_times_real(Lx_4,times_times_real(Ly_4,Rx_4)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_429_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 26.12/26.20 ! [Lx_3,Ly_3,Rx_3] : times_times_int(times_times_int(Lx_3,Ly_3),Rx_3) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_3) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_430_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 26.12/26.20 ! [Lx_3,Ly_3,Rx_3] : times_times_nat(times_times_nat(Lx_3,Ly_3),Rx_3) = times_times_nat(times_times_nat(Lx_3,Rx_3),Ly_3) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_431_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 26.12/26.20 ! [Lx_3,Ly_3,Rx_3] : times_times_real(times_times_real(Lx_3,Ly_3),Rx_3) = times_times_real(times_times_real(Lx_3,Rx_3),Ly_3) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_432_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 26.12/26.20 ! [Lx_2,Ly_2,Rx_2,Ry_2] : times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2)) = times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_433_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 26.12/26.20 ! [Lx_2,Ly_2,Rx_2,Ry_2] : times_times_nat(times_times_nat(Lx_2,Ly_2),times_times_nat(Rx_2,Ry_2)) = times_times_nat(Lx_2,times_times_nat(Ly_2,times_times_nat(Rx_2,Ry_2))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_434_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 26.12/26.20 ! [Lx_2,Ly_2,Rx_2,Ry_2] : times_times_real(times_times_real(Lx_2,Ly_2),times_times_real(Rx_2,Ry_2)) = times_times_real(Lx_2,times_times_real(Ly_2,times_times_real(Rx_2,Ry_2))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_435_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 26.12/26.20 ! [Lx_1,Ly_1,Rx_1,Ry_1] : times_times_real(times_times_real(Lx_1,Ly_1),times_times_real(Rx_1,Ry_1)) = times_times_real(Rx_1,times_times_real(times_times_real(Lx_1,Ly_1),Ry_1)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_436_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 26.12/26.20 ! [Lx_1,Ly_1,Rx_1,Ry_1] : times_times_nat(times_times_nat(Lx_1,Ly_1),times_times_nat(Rx_1,Ry_1)) = times_times_nat(Rx_1,times_times_nat(times_times_nat(Lx_1,Ly_1),Ry_1)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_437_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 26.12/26.20 ! [Lx_1,Ly_1,Rx_1,Ry_1] : times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1)) = times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 26.12/26.20 ! [Lx,Ly,Rx,Ry] : times_times_real(times_times_real(Lx,Ly),times_times_real(Rx,Ry)) = times_times_real(times_times_real(Lx,Rx),times_times_real(Ly,Ry)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_439_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 26.12/26.20 ! [Lx,Ly,Rx,Ry] : times_times_nat(times_times_nat(Lx,Ly),times_times_nat(Rx,Ry)) = times_times_nat(times_times_nat(Lx,Rx),times_times_nat(Ly,Ry)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_440_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 26.12/26.20 ! [Lx,Ly,Rx,Ry] : times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry)) = times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_441_diff__eq__diff__eq,axiom,
% 26.12/26.20 ! [A_1,B,C_1,D] :
% 26.12/26.20 ( ( is_int(A_1)
% 26.12/26.20 & is_int(B)
% 26.12/26.20 & is_int(C_1)
% 26.12/26.20 & is_int(D) )
% 26.12/26.20 => ( minus_minus_int(A_1,B) = minus_minus_int(C_1,D)
% 26.12/26.20 => ( A_1 = B
% 26.12/26.20 <=> C_1 = D ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_442_diff__eq__diff__eq,axiom,
% 26.12/26.20 ! [A_1,B,C_1,D] :
% 26.12/26.20 ( minus_minus_real(A_1,B) = minus_minus_real(C_1,D)
% 26.12/26.20 => ( A_1 = B
% 26.12/26.20 <=> C_1 = D ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_443_diff__eq__diff__less__eq,axiom,
% 26.12/26.20 ! [A_1,B,C_1,D] :
% 26.12/26.20 ( minus_minus_int(A_1,B) = minus_minus_int(C_1,D)
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),B))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_1),D)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_444_diff__eq__diff__less__eq,axiom,
% 26.12/26.20 ! [A_1,B,C_1,D] :
% 26.12/26.20 ( minus_minus_real(A_1,B) = minus_minus_real(C_1,D)
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),B))
% 26.12/26.20 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_1),D)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_445_semiring__mult__number__of,axiom,
% 26.12/26.20 ! [V_13,V_12] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_12))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_13))
% 26.12/26.20 => times_times_real(number267125858f_real(V_12),number267125858f_real(V_13)) = number267125858f_real(times_times_int(V_12,V_13)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_446_semiring__mult__number__of,axiom,
% 26.12/26.20 ! [V_13,V_12] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_12))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_13))
% 26.12/26.20 => times_times_nat(number_number_of_nat(V_12),number_number_of_nat(V_13)) = number_number_of_nat(times_times_int(V_12,V_13)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_447_semiring__mult__number__of,axiom,
% 26.12/26.20 ! [V_13,V_12] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_12))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_13))
% 26.12/26.20 => times_times_int(number_number_of_int(V_12),number_number_of_int(V_13)) = number_number_of_int(times_times_int(V_12,V_13)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_448_zle__refl,axiom,
% 26.12/26.20 ! [W] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),W)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_449_zmult__commute,axiom,
% 26.12/26.20 ! [Z,W] : times_times_int(Z,W) = times_times_int(W,Z) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_450_zle__linear,axiom,
% 26.12/26.20 ! [Z,W] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W))
% 26.12/26.20 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_451_zmult__assoc,axiom,
% 26.12/26.20 ! [Z1,Z2,Z3] : times_times_int(times_times_int(Z1,Z2),Z3) = times_times_int(Z1,times_times_int(Z2,Z3)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_452_zle__trans,axiom,
% 26.12/26.20 ! [K_1,I_2,J_1] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),J_1))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,J_1),K_1))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),K_1)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_453_zle__antisym,axiom,
% 26.12/26.20 ! [Z,W] :
% 26.12/26.20 ( ( is_int(Z)
% 26.12/26.20 & is_int(W) )
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z))
% 26.12/26.20 => Z = W ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_454_le__number__of,axiom,
% 26.12/26.20 ! [Xa,Ya] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(Xa)),number267125858f_real(Ya)))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),Ya)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_455_le__number__of,axiom,
% 26.12/26.20 ! [Xa,Ya] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(Xa)),number_number_of_int(Ya)))
% 26.12/26.20 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),Ya)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_456_number__of__mult,axiom,
% 26.12/26.20 ! [V_11,W_6] : number267125858f_real(times_times_int(V_11,W_6)) = times_times_real(number267125858f_real(V_11),number267125858f_real(W_6)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_457_number__of__mult,axiom,
% 26.12/26.20 ! [V_11,W_6] : number_number_of_int(times_times_int(V_11,W_6)) = times_times_int(number_number_of_int(V_11),number_number_of_int(W_6)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_458_arith__simps_I32_J,axiom,
% 26.12/26.20 ! [V_10,W_5] : times_times_real(number267125858f_real(V_10),number267125858f_real(W_5)) = number267125858f_real(times_times_int(V_10,W_5)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_459_arith__simps_I32_J,axiom,
% 26.12/26.20 ! [V_10,W_5] : times_times_int(number_number_of_int(V_10),number_number_of_int(W_5)) = number_number_of_int(times_times_int(V_10,W_5)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_460_mult__number__of__left,axiom,
% 26.12/26.20 ! [V_9,W_4,Z_5] : times_times_real(number267125858f_real(V_9),times_times_real(number267125858f_real(W_4),Z_5)) = times_times_real(number267125858f_real(times_times_int(V_9,W_4)),Z_5) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_461_mult__number__of__left,axiom,
% 26.12/26.20 ! [V_9,W_4,Z_5] : times_times_int(number_number_of_int(V_9),times_times_int(number_number_of_int(W_4),Z_5)) = times_times_int(number_number_of_int(times_times_int(V_9,W_4)),Z_5) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_462_eq__nat__nat__iff,axiom,
% 26.12/26.20 ! [Z_4,Z_1] :
% 26.12/26.20 ( ( is_int(Z_4)
% 26.12/26.20 & is_int(Z_1) )
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_1))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_4))
% 26.12/26.20 => ( nat(Z_1) = nat(Z_4)
% 26.12/26.20 <=> Z_1 = Z_4 ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_463_right__diff__distrib__number__of,axiom,
% 26.12/26.20 ! [V_8,B_44,C_28] : times_times_int(number_number_of_int(V_8),minus_minus_int(B_44,C_28)) = minus_minus_int(times_times_int(number_number_of_int(V_8),B_44),times_times_int(number_number_of_int(V_8),C_28)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_464_right__diff__distrib__number__of,axiom,
% 26.12/26.20 ! [V_8,B_44,C_28] : times_times_real(number267125858f_real(V_8),minus_minus_real(B_44,C_28)) = minus_minus_real(times_times_real(number267125858f_real(V_8),B_44),times_times_real(number267125858f_real(V_8),C_28)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_465_left__diff__distrib__number__of,axiom,
% 26.12/26.20 ! [A_62,B_43,V_7] : times_times_int(minus_minus_int(A_62,B_43),number_number_of_int(V_7)) = minus_minus_int(times_times_int(A_62,number_number_of_int(V_7)),times_times_int(B_43,number_number_of_int(V_7))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_466_left__diff__distrib__number__of,axiom,
% 26.12/26.20 ! [A_62,B_43,V_7] : times_times_real(minus_minus_real(A_62,B_43),number267125858f_real(V_7)) = minus_minus_real(times_times_real(A_62,number267125858f_real(V_7)),times_times_real(B_43,number267125858f_real(V_7))) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_467_number__of__diff,axiom,
% 26.12/26.20 ! [V_6,W_3] : number_number_of_int(minus_minus_int(V_6,W_3)) = minus_minus_int(number_number_of_int(V_6),number_number_of_int(W_3)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_468_number__of__diff,axiom,
% 26.12/26.20 ! [V_6,W_3] : number267125858f_real(minus_minus_int(V_6,W_3)) = minus_minus_real(number267125858f_real(V_6),number267125858f_real(W_3)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_469_of__nat__mult,axiom,
% 26.12/26.20 ! [M_4,N_10] : hAPP_nat_real(semiri132038758t_real,times_times_nat(M_4,N_10)) = times_times_real(hAPP_nat_real(semiri132038758t_real,M_4),hAPP_nat_real(semiri132038758t_real,N_10)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_470_of__nat__mult,axiom,
% 26.12/26.20 ! [M_4,N_10] : hAPP_nat_nat(semiri984289939at_nat,times_times_nat(M_4,N_10)) = times_times_nat(hAPP_nat_nat(semiri984289939at_nat,M_4),hAPP_nat_nat(semiri984289939at_nat,N_10)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_471_of__nat__mult,axiom,
% 26.12/26.20 ! [M_4,N_10] : hAPP_nat_int(semiri1621563631at_int,times_times_nat(M_4,N_10)) = times_times_int(hAPP_nat_int(semiri1621563631at_int,M_4),hAPP_nat_int(semiri1621563631at_int,N_10)) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_472_of__nat__le__iff,axiom,
% 26.12/26.20 ! [Ma,Na] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_473_of__nat__le__iff,axiom,
% 26.12/26.20 ! [Ma,Na] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_474_of__nat__le__iff,axiom,
% 26.12/26.20 ! [Ma,Na] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))
% 26.12/26.20 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_475_diff__commute,axiom,
% 26.12/26.20 ! [I_2,J_1,K_1] : minus_minus_nat(minus_minus_nat(I_2,J_1),K_1) = minus_minus_nat(minus_minus_nat(I_2,K_1),J_1) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_476_nat__if__cong,axiom,
% 26.12/26.20 ! [Xa,Ya,P_1] :
% 26.12/26.20 ( ( hBOOL(P_1)
% 26.12/26.20 => nat(Xa) = nat(if_int(P_1,Xa,Ya)) )
% 26.12/26.20 & ( ~ hBOOL(P_1)
% 26.12/26.20 => nat(Ya) = nat(if_int(P_1,Xa,Ya)) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_477_split__mult__neg__le,axiom,
% 26.12/26.20 ! [B_42,A_61] :
% 26.12/26.20 ( ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_61))
% 26.12/26.20 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_42),zero_zero_real)) )
% 26.12/26.20 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_61),zero_zero_real))
% 26.12/26.20 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_42)) ) )
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_61,B_42)),zero_zero_real)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_478_split__mult__neg__le,axiom,
% 26.12/26.20 ! [B_42,A_61] :
% 26.12/26.20 ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_61))
% 26.12/26.20 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_42),zero_zero_nat)) )
% 26.12/26.20 | ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_61),zero_zero_nat))
% 26.12/26.20 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_42)) ) )
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A_61,B_42)),zero_zero_nat)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_479_split__mult__neg__le,axiom,
% 26.12/26.20 ! [B_42,A_61] :
% 26.12/26.20 ( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_61))
% 26.12/26.20 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_42),zero_zero_int)) )
% 26.12/26.20 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_61),zero_zero_int))
% 26.12/26.20 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_42)) ) )
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_61,B_42)),zero_zero_int)) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_480_split__mult__pos__le,axiom,
% 26.12/26.20 ! [B_41,A_60] :
% 26.12/26.20 ( ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_60))
% 26.12/26.20 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_41)) )
% 26.12/26.20 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_60),zero_zero_real))
% 26.12/26.20 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_41),zero_zero_real)) ) )
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),times_times_real(A_60,B_41))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_481_split__mult__pos__le,axiom,
% 26.12/26.20 ! [B_41,A_60] :
% 26.12/26.20 ( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_60))
% 26.12/26.20 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_41)) )
% 26.12/26.20 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_60),zero_zero_int))
% 26.12/26.20 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_41),zero_zero_int)) ) )
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A_60,B_41))) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_482_mult__mono,axiom,
% 26.12/26.20 ! [C_27,D_10,A_59,B_40] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_59),B_40))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_27),D_10))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_40))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_27))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_59,C_27)),times_times_real(B_40,D_10))) ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_483_mult__mono,axiom,
% 26.12/26.20 ! [C_27,D_10,A_59,B_40] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_59),B_40))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_27),D_10))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_40))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_27))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A_59,C_27)),times_times_nat(B_40,D_10))) ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_484_mult__mono,axiom,
% 26.12/26.20 ! [C_27,D_10,A_59,B_40] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_59),B_40))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_27),D_10))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_40))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_27))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_59,C_27)),times_times_int(B_40,D_10))) ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_485_mult__mono_H,axiom,
% 26.12/26.20 ! [C_26,D_9,A_58,B_39] :
% 26.12/26.20 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_58),B_39))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_26),D_9))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_58))
% 26.12/26.20 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_26))
% 26.12/26.20 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_58,C_26)),times_times_real(B_39,D_9))) ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_486_mult__mono_H,axiom,
% 26.12/26.20 ! [C_26,D_9,A_58,B_39] :
% 26.12/26.20 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_58),B_39))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_26),D_9))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_58))
% 26.12/26.20 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_26))
% 26.12/26.20 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A_58,C_26)),times_times_nat(B_39,D_9))) ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_487_mult__mono_H,axiom,
% 26.12/26.20 ! [C_26,D_9,A_58,B_39] :
% 26.12/26.20 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_58),B_39))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_26),D_9))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_58))
% 26.12/26.20 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_26))
% 26.12/26.20 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_58,C_26)),times_times_int(B_39,D_9))) ) ) ) ) ).
% 26.12/26.20
% 26.12/26.20 fof(fact_488_mult__left__mono__neg,axiom,
% 26.12/26.21 ! [C_25,B_38,A_57] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_38),A_57))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_25),zero_zero_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(C_25,A_57)),times_times_real(C_25,B_38))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_489_mult__left__mono__neg,axiom,
% 26.12/26.21 ! [C_25,B_38,A_57] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_38),A_57))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_25),zero_zero_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(C_25,A_57)),times_times_int(C_25,B_38))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_490_mult__right__mono__neg,axiom,
% 26.12/26.21 ! [C_24,B_37,A_56] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_37),A_56))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_24),zero_zero_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_56,C_24)),times_times_real(B_37,C_24))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_491_mult__right__mono__neg,axiom,
% 26.12/26.21 ! [C_24,B_37,A_56] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_37),A_56))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_24),zero_zero_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_56,C_24)),times_times_int(B_37,C_24))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_492_comm__mult__left__mono,axiom,
% 26.12/26.21 ! [C_23,A_55,B_36] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_55),B_36))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_23))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(C_23,A_55)),times_times_real(C_23,B_36))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_493_comm__mult__left__mono,axiom,
% 26.12/26.21 ! [C_23,A_55,B_36] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_55),B_36))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_23))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(C_23,A_55)),times_times_nat(C_23,B_36))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_494_comm__mult__left__mono,axiom,
% 26.12/26.21 ! [C_23,A_55,B_36] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_55),B_36))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_23))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(C_23,A_55)),times_times_int(C_23,B_36))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_495_mult__left__mono,axiom,
% 26.12/26.21 ! [C_22,A_54,B_35] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_54),B_35))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_22))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(C_22,A_54)),times_times_real(C_22,B_35))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_496_mult__left__mono,axiom,
% 26.12/26.21 ! [C_22,A_54,B_35] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_54),B_35))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_22))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(C_22,A_54)),times_times_nat(C_22,B_35))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_497_mult__left__mono,axiom,
% 26.12/26.21 ! [C_22,A_54,B_35] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_54),B_35))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_22))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(C_22,A_54)),times_times_int(C_22,B_35))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_498_mult__right__mono,axiom,
% 26.12/26.21 ! [C_21,A_53,B_34] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_53),B_34))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_21))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_53,C_21)),times_times_real(B_34,C_21))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_499_mult__right__mono,axiom,
% 26.12/26.21 ! [C_21,A_53,B_34] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_53),B_34))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_21))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A_53,C_21)),times_times_nat(B_34,C_21))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_500_mult__right__mono,axiom,
% 26.12/26.21 ! [C_21,A_53,B_34] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_53),B_34))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_21))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_53,C_21)),times_times_int(B_34,C_21))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_501_mult__nonpos__nonpos,axiom,
% 26.12/26.21 ! [B_33,A_52] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_52),zero_zero_real))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_33),zero_zero_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),times_times_real(A_52,B_33))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_502_mult__nonpos__nonpos,axiom,
% 26.12/26.21 ! [B_33,A_52] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_52),zero_zero_int))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_33),zero_zero_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A_52,B_33))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_503_mult__nonpos__nonneg,axiom,
% 26.12/26.21 ! [B_32,A_51] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_51),zero_zero_real))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_32))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_51,B_32)),zero_zero_real)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_504_mult__nonpos__nonneg,axiom,
% 26.12/26.21 ! [B_32,A_51] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_51),zero_zero_nat))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_32))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A_51,B_32)),zero_zero_nat)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_505_mult__nonpos__nonneg,axiom,
% 26.12/26.21 ! [B_32,A_51] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_51),zero_zero_int))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_32))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_51,B_32)),zero_zero_int)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_506_mult__nonneg__nonpos2,axiom,
% 26.12/26.21 ! [B_31,A_50] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_50))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_31),zero_zero_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(B_31,A_50)),zero_zero_real)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_507_mult__nonneg__nonpos2,axiom,
% 26.12/26.21 ! [B_31,A_50] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_50))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_31),zero_zero_nat))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(B_31,A_50)),zero_zero_nat)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_508_mult__nonneg__nonpos2,axiom,
% 26.12/26.21 ! [B_31,A_50] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_50))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_31),zero_zero_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(B_31,A_50)),zero_zero_int)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_509_mult__nonneg__nonpos,axiom,
% 26.12/26.21 ! [B_30,A_49] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_49))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_30),zero_zero_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_49,B_30)),zero_zero_real)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_510_mult__nonneg__nonpos,axiom,
% 26.12/26.21 ! [B_30,A_49] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_49))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_30),zero_zero_nat))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A_49,B_30)),zero_zero_nat)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_511_mult__nonneg__nonpos,axiom,
% 26.12/26.21 ! [B_30,A_49] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_49))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_30),zero_zero_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_49,B_30)),zero_zero_int)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_512_transfer__nat__int__relations_I1_J,axiom,
% 26.12/26.21 ! [Ya,Xa] :
% 26.12/26.21 ( ( is_int(Ya)
% 26.12/26.21 & is_int(Xa) )
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Ya))
% 26.12/26.21 => ( nat(Xa) = nat(Ya)
% 26.12/26.21 <=> Xa = Ya ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_513_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 26.12/26.21 ! [Y,X] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(X,Y))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_514_mult__nonneg__nonneg,axiom,
% 26.12/26.21 ! [B_29,A_48] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_48))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_29))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),times_times_real(A_48,B_29))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_515_mult__nonneg__nonneg,axiom,
% 26.12/26.21 ! [B_29,A_48] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_48))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_29))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),times_times_nat(A_48,B_29))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_516_mult__nonneg__nonneg,axiom,
% 26.12/26.21 ! [B_29,A_48] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_48))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_29))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A_48,B_29))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_517_le__add__iff1,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_518_le__add__iff1,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_519_eq__add__iff1,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( plus_plus_real(times_times_real(A_1,E_1),C_1) = plus_plus_real(times_times_real(B,E_1),D)
% 26.12/26.21 <=> plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1) = D ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_520_eq__add__iff1,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( is_int(D)
% 26.12/26.21 => ( plus_plus_int(times_times_int(A_1,E_1),C_1) = plus_plus_int(times_times_int(B,E_1),D)
% 26.12/26.21 <=> plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1) = D ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_521_le__add__iff2,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_522_le__add__iff2,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_523_eq__add__iff2,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( plus_plus_real(times_times_real(A_1,E_1),C_1) = plus_plus_real(times_times_real(B,E_1),D)
% 26.12/26.21 <=> C_1 = plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_524_eq__add__iff2,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( is_int(C_1)
% 26.12/26.21 => ( plus_plus_int(times_times_int(A_1,E_1),C_1) = plus_plus_int(times_times_int(B,E_1),D)
% 26.12/26.21 <=> C_1 = plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_525_mult__diff__mult,axiom,
% 26.12/26.21 ! [X_11,Y_9,A_47,B_28] : minus_minus_real(times_times_real(X_11,Y_9),times_times_real(A_47,B_28)) = plus_plus_real(times_times_real(X_11,minus_minus_real(Y_9,B_28)),times_times_real(minus_minus_real(X_11,A_47),B_28)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_526_mult__diff__mult,axiom,
% 26.12/26.21 ! [X_11,Y_9,A_47,B_28] : minus_minus_int(times_times_int(X_11,Y_9),times_times_int(A_47,B_28)) = plus_plus_int(times_times_int(X_11,minus_minus_int(Y_9,B_28)),times_times_int(minus_minus_int(X_11,A_47),B_28)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_527_mult__le__0__iff,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_1,B)),zero_zero_real))
% 26.12/26.21 <=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_1))
% 26.12/26.21 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real)) )
% 26.12/26.21 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),zero_zero_real))
% 26.12/26.21 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_528_mult__le__0__iff,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_1,B)),zero_zero_int))
% 26.12/26.21 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_1))
% 26.12/26.21 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int)) )
% 26.12/26.21 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),zero_zero_int))
% 26.12/26.21 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_529_zero__le__mult__iff,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),times_times_real(A_1,B)))
% 26.12/26.21 <=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_1))
% 26.12/26.21 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B)) )
% 26.12/26.21 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),zero_zero_real))
% 26.12/26.21 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_530_zero__le__mult__iff,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A_1,B)))
% 26.12/26.21 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_1))
% 26.12/26.21 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)) )
% 26.12/26.21 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),zero_zero_int))
% 26.12/26.21 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_531_all__nat,axiom,
% 26.12/26.21 ! [P_1] :
% 26.12/26.21 ( ! [X1] : hBOOL(hAPP_nat_bool(P_1,X1))
% 26.12/26.21 <=> ! [X_1] :
% 26.12/26.21 ( is_int(X_1)
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(P_1,nat(X_1))) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_532_ex__nat,axiom,
% 26.12/26.21 ! [P_1] :
% 26.12/26.21 ( ? [X1] : hBOOL(hAPP_nat_bool(P_1,X1))
% 26.12/26.21 <=> ? [X_1] :
% 26.12/26.21 ( is_int(X_1)
% 26.12/26.21 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 26.12/26.21 & hBOOL(hAPP_nat_bool(P_1,nat(X_1))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_533_zero__le__square,axiom,
% 26.12/26.21 ! [A_46] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),times_times_real(A_46,A_46))) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_534_zero__le__square,axiom,
% 26.12/26.21 ! [A_46] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A_46,A_46))) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_535_less__add__iff1,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(minus_minus_real(A_1,B),E_1),C_1)),D)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_536_less__add__iff1,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(minus_minus_int(A_1,B),E_1),C_1)),D)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_537_less__add__iff2,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(A_1,E_1),C_1)),plus_plus_real(times_times_real(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),plus_plus_real(times_times_real(minus_minus_real(B,A_1),E_1),D))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_538_less__add__iff2,axiom,
% 26.12/26.21 ! [A_1,E_1,C_1,B,D] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(A_1,E_1),C_1)),plus_plus_int(times_times_int(B,E_1),D)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),plus_plus_int(times_times_int(minus_minus_int(B,A_1),E_1),D))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_539_real__squared__diff__one__factored,axiom,
% 26.12/26.21 ! [X_10] : minus_minus_real(times_times_real(X_10,X_10),one_one_real) = times_times_real(plus_plus_real(X_10,one_one_real),minus_minus_real(X_10,one_one_real)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_540_real__squared__diff__one__factored,axiom,
% 26.12/26.21 ! [X_10] : minus_minus_int(times_times_int(X_10,X_10),one_one_int) = times_times_int(plus_plus_int(X_10,one_one_int),minus_minus_int(X_10,one_one_int)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_541_mult__left__le__imp__le,axiom,
% 26.12/26.21 ! [C_20,A_45,B_27] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(C_20,A_45)),times_times_real(C_20,B_27)))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_20))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_45),B_27)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_542_mult__left__le__imp__le,axiom,
% 26.12/26.21 ! [C_20,A_45,B_27] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(C_20,A_45)),times_times_nat(C_20,B_27)))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_20))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_45),B_27)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_543_mult__left__le__imp__le,axiom,
% 26.12/26.21 ! [C_20,A_45,B_27] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(C_20,A_45)),times_times_int(C_20,B_27)))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_20))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_45),B_27)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_544_mult__right__le__imp__le,axiom,
% 26.12/26.21 ! [A_44,C_19,B_26] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(A_44,C_19)),times_times_real(B_26,C_19)))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_19))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_44),B_26)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_545_mult__right__le__imp__le,axiom,
% 26.12/26.21 ! [A_44,C_19,B_26] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A_44,C_19)),times_times_nat(B_26,C_19)))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_19))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_44),B_26)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_546_mult__right__le__imp__le,axiom,
% 26.12/26.21 ! [A_44,C_19,B_26] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A_44,C_19)),times_times_int(B_26,C_19)))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_19))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_44),B_26)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_547_mult__less__imp__less__left,axiom,
% 26.12/26.21 ! [C_18,A_43,B_25] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(C_18,A_43)),times_times_real(C_18,B_25)))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_18))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_43),B_25)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_548_mult__less__imp__less__left,axiom,
% 26.12/26.21 ! [C_18,A_43,B_25] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_18,A_43)),times_times_nat(C_18,B_25)))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_18))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_43),B_25)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_549_mult__less__imp__less__left,axiom,
% 26.12/26.21 ! [C_18,A_43,B_25] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_18,A_43)),times_times_int(C_18,B_25)))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_18))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_43),B_25)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_550_mult__left__less__imp__less,axiom,
% 26.12/26.21 ! [C_17,A_42,B_24] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(C_17,A_42)),times_times_real(C_17,B_24)))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_17))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_42),B_24)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_551_mult__left__less__imp__less,axiom,
% 26.12/26.21 ! [C_17,A_42,B_24] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(C_17,A_42)),times_times_nat(C_17,B_24)))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_17))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_42),B_24)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_552_mult__left__less__imp__less,axiom,
% 26.12/26.21 ! [C_17,A_42,B_24] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(C_17,A_42)),times_times_int(C_17,B_24)))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_17))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_42),B_24)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_553_mult__less__imp__less__right,axiom,
% 26.12/26.21 ! [A_41,C_16,B_23] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_41,C_16)),times_times_real(B_23,C_16)))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_16))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_41),B_23)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_554_mult__less__imp__less__right,axiom,
% 26.12/26.21 ! [A_41,C_16,B_23] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_41,C_16)),times_times_nat(B_23,C_16)))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_16))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_41),B_23)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_555_mult__less__imp__less__right,axiom,
% 26.12/26.21 ! [A_41,C_16,B_23] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_41,C_16)),times_times_int(B_23,C_16)))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_16))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_41),B_23)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_556_mult__right__less__imp__less,axiom,
% 26.12/26.21 ! [A_40,C_15,B_22] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_40,C_15)),times_times_real(B_22,C_15)))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_15))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_40),B_22)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_557_mult__right__less__imp__less,axiom,
% 26.12/26.21 ! [A_40,C_15,B_22] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_40,C_15)),times_times_nat(B_22,C_15)))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_15))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_40),B_22)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_558_mult__right__less__imp__less,axiom,
% 26.12/26.21 ! [A_40,C_15,B_22] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_40,C_15)),times_times_int(B_22,C_15)))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_15))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_40),B_22)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_559_mult__le__less__imp__less,axiom,
% 26.12/26.21 ! [C_14,D_8,A_39,B_21] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_39),B_21))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_14),D_8))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_39))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_14))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_39,C_14)),times_times_real(B_21,D_8))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_560_mult__le__less__imp__less,axiom,
% 26.12/26.21 ! [C_14,D_8,A_39,B_21] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_39),B_21))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_14),D_8))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_39))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_14))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_39,C_14)),times_times_nat(B_21,D_8))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_561_mult__le__less__imp__less,axiom,
% 26.12/26.21 ! [C_14,D_8,A_39,B_21] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_39),B_21))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_14),D_8))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_39))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_14))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_39,C_14)),times_times_int(B_21,D_8))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_562_mult__less__le__imp__less,axiom,
% 26.12/26.21 ! [C_13,D_7,A_38,B_20] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_38),B_20))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_13),D_7))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_38))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_13))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_38,C_13)),times_times_real(B_20,D_7))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_563_mult__less__le__imp__less,axiom,
% 26.12/26.21 ! [C_13,D_7,A_38,B_20] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_38),B_20))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_13),D_7))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_38))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_13))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_38,C_13)),times_times_nat(B_20,D_7))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_564_mult__less__le__imp__less,axiom,
% 26.12/26.21 ! [C_13,D_7,A_38,B_20] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_38),B_20))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_13),D_7))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_38))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_13))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_38,C_13)),times_times_int(B_20,D_7))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_565_mult__strict__mono_H,axiom,
% 26.12/26.21 ! [C_12,D_6,A_37,B_19] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_37),B_19))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_12),D_6))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_37))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_12))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_37,C_12)),times_times_real(B_19,D_6))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_566_mult__strict__mono_H,axiom,
% 26.12/26.21 ! [C_12,D_6,A_37,B_19] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_37),B_19))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_12),D_6))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_37))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_12))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_37,C_12)),times_times_nat(B_19,D_6))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_567_mult__strict__mono_H,axiom,
% 26.12/26.21 ! [C_12,D_6,A_37,B_19] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_37),B_19))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_12),D_6))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_37))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_12))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_37,C_12)),times_times_int(B_19,D_6))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_568_mult__strict__mono,axiom,
% 26.12/26.21 ! [C_11,D_5,A_36,B_18] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_36),B_18))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_11),D_5))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_18))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_11))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_36,C_11)),times_times_real(B_18,D_5))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_569_mult__strict__mono,axiom,
% 26.12/26.21 ! [C_11,D_5,A_36,B_18] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_36),B_18))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_11),D_5))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_18))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_11))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A_36,C_11)),times_times_nat(B_18,D_5))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_570_mult__strict__mono,axiom,
% 26.12/26.21 ! [C_11,D_5,A_36,B_18] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_36),B_18))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_11),D_5))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_18))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_11))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_36,C_11)),times_times_int(B_18,D_5))) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_571_mult__le__cancel__left__neg,axiom,
% 26.12/26.21 ! [A_1,B,C_1] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A_1)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_572_mult__le__cancel__left__neg,axiom,
% 26.12/26.21 ! [A_1,B,C_1] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A_1)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_573_mult__le__cancel__left__pos,axiom,
% 26.12/26.21 ! [A_1,B,C_1] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(C_1,A_1)),times_times_real(C_1,B)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),B)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_574_mult__le__cancel__left__pos,axiom,
% 26.12/26.21 ! [A_1,B,C_1] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(C_1,A_1)),times_times_int(C_1,B)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),B)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_575_sum__squares__ge__zero,axiom,
% 26.12/26.21 ! [X_9,Y_8] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),plus_plus_real(times_times_real(X_9,X_9),times_times_real(Y_8,Y_8)))) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_576_sum__squares__ge__zero,axiom,
% 26.12/26.21 ! [X_9,Y_8] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),plus_plus_int(times_times_int(X_9,X_9),times_times_int(Y_8,Y_8)))) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_577_sum__squares__le__zero__iff,axiom,
% 26.12/26.21 ! [Xa,Ya] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya))),zero_zero_real))
% 26.12/26.21 <=> ( Xa = zero_zero_real
% 26.12/26.21 & Ya = zero_zero_real ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_578_sum__squares__le__zero__iff,axiom,
% 26.12/26.21 ! [Xa,Ya] :
% 26.12/26.21 ( ( is_int(Xa)
% 26.12/26.21 & is_int(Ya) )
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(times_times_int(Xa,Xa),times_times_int(Ya,Ya))),zero_zero_int))
% 26.12/26.21 <=> ( Xa = zero_zero_int
% 26.12/26.21 & Ya = zero_zero_int ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_579_mult__right__le__one__le,axiom,
% 26.12/26.21 ! [Y_7,X_8] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X_8))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_7))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_7),one_one_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(X_8,Y_7)),X_8)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_580_mult__right__le__one__le,axiom,
% 26.12/26.21 ! [Y_7,X_8] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_8))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_7))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_7),one_one_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(X_8,Y_7)),X_8)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_581_mult__left__le__one__le,axiom,
% 26.12/26.21 ! [Y_6,X_7] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X_7))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_6))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_6),one_one_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(Y_6,X_7)),X_7)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_582_mult__left__le__one__le,axiom,
% 26.12/26.21 ! [Y_6,X_7] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_7))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_6))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_6),one_one_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(Y_6,X_7)),X_7)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_583_nat__le__0,axiom,
% 26.12/26.21 ! [Z] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),zero_zero_int))
% 26.12/26.21 => nat(Z) = zero_zero_nat ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_584_nat__0__iff,axiom,
% 26.12/26.21 ! [I_1] :
% 26.12/26.21 ( nat(I_1) = zero_zero_nat
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),zero_zero_int)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_585_power__increasing,axiom,
% 26.12/26.21 ! [A_35,N_9,N_8] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_9),N_8))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A_35))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_35),N_9)),hAPP_nat_real(power_power_real(A_35),N_8))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_586_power__increasing,axiom,
% 26.12/26.21 ! [A_35,N_9,N_8] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_9),N_8))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),A_35))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_35),N_9)),hAPP_nat_nat(power_power_nat(A_35),N_8))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_587_power__increasing,axiom,
% 26.12/26.21 ! [A_35,N_9,N_8] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_9),N_8))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),A_35))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_35),N_9)),hAPP_nat_int(power_power_int(A_35),N_8))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_588_int__nat__eq,axiom,
% 26.12/26.21 ! [Z] :
% 26.12/26.21 ( is_int(Z)
% 26.12/26.21 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 26.12/26.21 => hAPP_nat_int(semiri1621563631at_int,nat(Z)) = Z )
% 26.12/26.21 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 26.12/26.21 => hAPP_nat_int(semiri1621563631at_int,nat(Z)) = zero_zero_int ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_589_int__eq__iff,axiom,
% 26.12/26.21 ! [Ma,Z_1] :
% 26.12/26.21 ( is_int(Z_1)
% 26.12/26.21 => ( hAPP_nat_int(semiri1621563631at_int,Ma) = Z_1
% 26.12/26.21 <=> ( Ma = nat(Z_1)
% 26.12/26.21 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_1)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_590_nat__0__le,axiom,
% 26.12/26.21 ! [Z] :
% 26.12/26.21 ( is_int(Z)
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 26.12/26.21 => hAPP_nat_int(semiri1621563631at_int,nat(Z)) = Z ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_591_right__minus__eq,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( minus_minus_real(A_1,B) = zero_zero_real
% 26.12/26.21 <=> A_1 = B ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_592_right__minus__eq,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( ( is_int(A_1)
% 26.12/26.21 & is_int(B) )
% 26.12/26.21 => ( minus_minus_int(A_1,B) = zero_zero_int
% 26.12/26.21 <=> A_1 = B ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_593_eq__iff__diff__eq__0,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( A_1 = B
% 26.12/26.21 <=> minus_minus_real(A_1,B) = zero_zero_real ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_594_eq__iff__diff__eq__0,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( ( is_int(A_1)
% 26.12/26.21 & is_int(B) )
% 26.12/26.21 => ( A_1 = B
% 26.12/26.21 <=> minus_minus_int(A_1,B) = zero_zero_int ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_595_diff__self,axiom,
% 26.12/26.21 ! [A_34] : minus_minus_real(A_34,A_34) = zero_zero_real ).
% 26.12/26.21
% 26.12/26.21 fof(fact_596_diff__self,axiom,
% 26.12/26.21 ! [A_34] : minus_minus_int(A_34,A_34) = zero_zero_int ).
% 26.12/26.21
% 26.12/26.21 fof(fact_597_diff__0__right,axiom,
% 26.12/26.21 ! [A_33] : minus_minus_real(A_33,zero_zero_real) = A_33 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_598_diff__0__right,axiom,
% 26.12/26.21 ! [A_33] :
% 26.12/26.21 ( is_int(A_33)
% 26.12/26.21 => minus_minus_int(A_33,zero_zero_int) = A_33 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_599_diff__eq__diff__less,axiom,
% 26.12/26.21 ! [A_1,B,C_1,D] :
% 26.12/26.21 ( minus_minus_int(A_1,B) = minus_minus_int(C_1,D)
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),D)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_600_diff__eq__diff__less,axiom,
% 26.12/26.21 ! [A_1,B,C_1,D] :
% 26.12/26.21 ( minus_minus_real(A_1,B) = minus_minus_real(C_1,D)
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),D)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_601_add__diff__add,axiom,
% 26.12/26.21 ! [A_32,C_10,B_17,D_4] : minus_minus_real(plus_plus_real(A_32,C_10),plus_plus_real(B_17,D_4)) = plus_plus_real(minus_minus_real(A_32,B_17),minus_minus_real(C_10,D_4)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_602_add__diff__add,axiom,
% 26.12/26.21 ! [A_32,C_10,B_17,D_4] : minus_minus_int(plus_plus_int(A_32,C_10),plus_plus_int(B_17,D_4)) = plus_plus_int(minus_minus_int(A_32,B_17),minus_minus_int(C_10,D_4)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_603_add__diff__cancel,axiom,
% 26.12/26.21 ! [A_31,B_16] : minus_minus_real(plus_plus_real(A_31,B_16),B_16) = A_31 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_604_add__diff__cancel,axiom,
% 26.12/26.21 ! [A_31,B_16] :
% 26.12/26.21 ( is_int(A_31)
% 26.12/26.21 => minus_minus_int(plus_plus_int(A_31,B_16),B_16) = A_31 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_605_diff__add__cancel,axiom,
% 26.12/26.21 ! [A_30,B_15] : plus_plus_real(minus_minus_real(A_30,B_15),B_15) = A_30 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_606_diff__add__cancel,axiom,
% 26.12/26.21 ! [A_30,B_15] :
% 26.12/26.21 ( is_int(A_30)
% 26.12/26.21 => plus_plus_int(minus_minus_int(A_30,B_15),B_15) = A_30 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_607_mult__zero__left,axiom,
% 26.12/26.21 ! [A_29] : times_times_real(zero_zero_real,A_29) = zero_zero_real ).
% 26.12/26.21
% 26.12/26.21 fof(fact_608_mult__zero__left,axiom,
% 26.12/26.21 ! [A_29] : times_times_nat(zero_zero_nat,A_29) = zero_zero_nat ).
% 26.12/26.21
% 26.12/26.21 fof(fact_609_mult__zero__left,axiom,
% 26.12/26.21 ! [A_29] : times_times_int(zero_zero_int,A_29) = zero_zero_int ).
% 26.12/26.21
% 26.12/26.21 fof(fact_610_mult__zero__right,axiom,
% 26.12/26.21 ! [A_28] : times_times_real(A_28,zero_zero_real) = zero_zero_real ).
% 26.12/26.21
% 26.12/26.21 fof(fact_611_mult__zero__right,axiom,
% 26.12/26.21 ! [A_28] : times_times_nat(A_28,zero_zero_nat) = zero_zero_nat ).
% 26.12/26.21
% 26.12/26.21 fof(fact_612_mult__zero__right,axiom,
% 26.12/26.21 ! [A_28] : times_times_int(A_28,zero_zero_int) = zero_zero_int ).
% 26.12/26.21
% 26.12/26.21 fof(fact_613_mult__eq__0__iff,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( times_times_real(A_1,B) = zero_zero_real
% 26.12/26.21 <=> ( A_1 = zero_zero_real
% 26.12/26.21 | B = zero_zero_real ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_614_mult__eq__0__iff,axiom,
% 26.12/26.21 ! [A_1,B] :
% 26.12/26.21 ( ( is_int(A_1)
% 26.12/26.21 & is_int(B) )
% 26.12/26.21 => ( times_times_int(A_1,B) = zero_zero_int
% 26.12/26.21 <=> ( A_1 = zero_zero_int
% 26.12/26.21 | B = zero_zero_int ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_615_no__zero__divisors,axiom,
% 26.12/26.21 ! [B_14,A_27] :
% 26.12/26.21 ( A_27 != zero_zero_real
% 26.12/26.21 => ( B_14 != zero_zero_real
% 26.12/26.21 => times_times_real(A_27,B_14) != zero_zero_real ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_616_no__zero__divisors,axiom,
% 26.12/26.21 ! [B_14,A_27] :
% 26.12/26.21 ( A_27 != zero_zero_nat
% 26.12/26.21 => ( B_14 != zero_zero_nat
% 26.12/26.21 => times_times_nat(A_27,B_14) != zero_zero_nat ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_617_no__zero__divisors,axiom,
% 26.12/26.21 ! [B_14,A_27] :
% 26.12/26.21 ( ( is_int(B_14)
% 26.12/26.21 & is_int(A_27) )
% 26.12/26.21 => ( A_27 != zero_zero_int
% 26.12/26.21 => ( B_14 != zero_zero_int
% 26.12/26.21 => times_times_int(A_27,B_14) != zero_zero_int ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_618_divisors__zero,axiom,
% 26.12/26.21 ! [A_26,B_13] :
% 26.12/26.21 ( times_times_real(A_26,B_13) = zero_zero_real
% 26.12/26.21 => ( A_26 = zero_zero_real
% 26.12/26.21 | B_13 = zero_zero_real ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_619_divisors__zero,axiom,
% 26.12/26.21 ! [A_26,B_13] :
% 26.12/26.21 ( times_times_nat(A_26,B_13) = zero_zero_nat
% 26.12/26.21 => ( A_26 = zero_zero_nat
% 26.12/26.21 | B_13 = zero_zero_nat ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_620_divisors__zero,axiom,
% 26.12/26.21 ! [A_26,B_13] :
% 26.12/26.21 ( ( is_int(A_26)
% 26.12/26.21 & is_int(B_13) )
% 26.12/26.21 => ( times_times_int(A_26,B_13) = zero_zero_int
% 26.12/26.21 => ( A_26 = zero_zero_int
% 26.12/26.21 | B_13 = zero_zero_int ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_621_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 26.12/26.21 ! [A_25] : times_times_real(A_25,zero_zero_real) = zero_zero_real ).
% 26.12/26.21
% 26.12/26.21 fof(fact_622_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 26.12/26.21 ! [A_25] : times_times_nat(A_25,zero_zero_nat) = zero_zero_nat ).
% 26.12/26.21
% 26.12/26.21 fof(fact_623_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 26.12/26.21 ! [A_25] : times_times_int(A_25,zero_zero_int) = zero_zero_int ).
% 26.12/26.21
% 26.12/26.21 fof(fact_624_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 26.12/26.21 ! [A_24] : times_times_real(zero_zero_real,A_24) = zero_zero_real ).
% 26.12/26.21
% 26.12/26.21 fof(fact_625_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 26.12/26.21 ! [A_24] : times_times_nat(zero_zero_nat,A_24) = zero_zero_nat ).
% 26.12/26.21
% 26.12/26.21 fof(fact_626_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 26.12/26.21 ! [A_24] : times_times_int(zero_zero_int,A_24) = zero_zero_int ).
% 26.12/26.21
% 26.12/26.21 fof(fact_627_diffs0__imp__equal,axiom,
% 26.12/26.21 ! [M,N] :
% 26.12/26.21 ( minus_minus_nat(M,N) = zero_zero_nat
% 26.12/26.21 => ( minus_minus_nat(N,M) = zero_zero_nat
% 26.12/26.21 => M = N ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_628_diff__self__eq__0,axiom,
% 26.12/26.21 ! [M] : minus_minus_nat(M,M) = zero_zero_nat ).
% 26.12/26.21
% 26.12/26.21 fof(fact_629_minus__nat_Odiff__0,axiom,
% 26.12/26.21 ! [M] : minus_minus_nat(M,zero_zero_nat) = M ).
% 26.12/26.21
% 26.12/26.21 fof(fact_630_diff__0__eq__0,axiom,
% 26.12/26.21 ! [N] : minus_minus_nat(zero_zero_nat,N) = zero_zero_nat ).
% 26.12/26.21
% 26.12/26.21 fof(fact_631_comm__semiring__class_Odistrib,axiom,
% 26.12/26.21 ! [A_23,B_12,C_9] : times_times_real(plus_plus_real(A_23,B_12),C_9) = plus_plus_real(times_times_real(A_23,C_9),times_times_real(B_12,C_9)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_632_comm__semiring__class_Odistrib,axiom,
% 26.12/26.21 ! [A_23,B_12,C_9] : times_times_nat(plus_plus_nat(A_23,B_12),C_9) = plus_plus_nat(times_times_nat(A_23,C_9),times_times_nat(B_12,C_9)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_633_comm__semiring__class_Odistrib,axiom,
% 26.12/26.21 ! [A_23,B_12,C_9] : times_times_int(plus_plus_int(A_23,B_12),C_9) = plus_plus_int(times_times_int(A_23,C_9),times_times_int(B_12,C_9)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_634_combine__common__factor,axiom,
% 26.12/26.21 ! [A_22,E,B_11,C_8] : plus_plus_real(times_times_real(A_22,E),plus_plus_real(times_times_real(B_11,E),C_8)) = plus_plus_real(times_times_real(plus_plus_real(A_22,B_11),E),C_8) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_635_combine__common__factor,axiom,
% 26.12/26.21 ! [A_22,E,B_11,C_8] : plus_plus_nat(times_times_nat(A_22,E),plus_plus_nat(times_times_nat(B_11,E),C_8)) = plus_plus_nat(times_times_nat(plus_plus_nat(A_22,B_11),E),C_8) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_636_combine__common__factor,axiom,
% 26.12/26.21 ! [A_22,E,B_11,C_8] : plus_plus_int(times_times_int(A_22,E),plus_plus_int(times_times_int(B_11,E),C_8)) = plus_plus_int(times_times_int(plus_plus_int(A_22,B_11),E),C_8) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_637_crossproduct__eq,axiom,
% 26.12/26.21 ! [Wa,Ya,Xa,Z_1] :
% 26.12/26.21 ( plus_plus_real(times_times_real(Wa,Ya),times_times_real(Xa,Z_1)) = plus_plus_real(times_times_real(Wa,Z_1),times_times_real(Xa,Ya))
% 26.12/26.21 <=> ( Wa = Xa
% 26.12/26.21 | Ya = Z_1 ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_638_crossproduct__eq,axiom,
% 26.12/26.21 ! [Wa,Ya,Xa,Z_1] :
% 26.12/26.21 ( plus_plus_nat(times_times_nat(Wa,Ya),times_times_nat(Xa,Z_1)) = plus_plus_nat(times_times_nat(Wa,Z_1),times_times_nat(Xa,Ya))
% 26.12/26.21 <=> ( Wa = Xa
% 26.12/26.21 | Ya = Z_1 ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_639_crossproduct__eq,axiom,
% 26.12/26.21 ! [Wa,Ya,Xa,Z_1] :
% 26.12/26.21 ( ( is_int(Wa)
% 26.12/26.21 & is_int(Ya)
% 26.12/26.21 & is_int(Xa)
% 26.12/26.21 & is_int(Z_1) )
% 26.12/26.21 => ( plus_plus_int(times_times_int(Wa,Ya),times_times_int(Xa,Z_1)) = plus_plus_int(times_times_int(Wa,Z_1),times_times_int(Xa,Ya))
% 26.12/26.21 <=> ( Wa = Xa
% 26.12/26.21 | Ya = Z_1 ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_640_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 26.12/26.21 ! [A_21,M_3,B_10] : plus_plus_real(times_times_real(A_21,M_3),times_times_real(B_10,M_3)) = times_times_real(plus_plus_real(A_21,B_10),M_3) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_641_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 26.12/26.21 ! [A_21,M_3,B_10] : plus_plus_nat(times_times_nat(A_21,M_3),times_times_nat(B_10,M_3)) = times_times_nat(plus_plus_nat(A_21,B_10),M_3) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_642_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 26.12/26.21 ! [A_21,M_3,B_10] : plus_plus_int(times_times_int(A_21,M_3),times_times_int(B_10,M_3)) = times_times_int(plus_plus_int(A_21,B_10),M_3) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_643_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 26.12/26.21 ! [A_20,B_9,C_7] : times_times_real(plus_plus_real(A_20,B_9),C_7) = plus_plus_real(times_times_real(A_20,C_7),times_times_real(B_9,C_7)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_644_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 26.12/26.21 ! [A_20,B_9,C_7] : times_times_nat(plus_plus_nat(A_20,B_9),C_7) = plus_plus_nat(times_times_nat(A_20,C_7),times_times_nat(B_9,C_7)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_645_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 26.12/26.21 ! [A_20,B_9,C_7] : times_times_int(plus_plus_int(A_20,B_9),C_7) = plus_plus_int(times_times_int(A_20,C_7),times_times_int(B_9,C_7)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_646_crossproduct__noteq,axiom,
% 26.12/26.21 ! [C_1,D,A_1,B] :
% 26.12/26.21 ( ( A_1 != B
% 26.12/26.21 & C_1 != D )
% 26.12/26.21 <=> plus_plus_real(times_times_real(A_1,C_1),times_times_real(B,D)) != plus_plus_real(times_times_real(A_1,D),times_times_real(B,C_1)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_647_crossproduct__noteq,axiom,
% 26.12/26.21 ! [C_1,D,A_1,B] :
% 26.12/26.21 ( ( A_1 != B
% 26.12/26.21 & C_1 != D )
% 26.12/26.21 <=> plus_plus_nat(times_times_nat(A_1,C_1),times_times_nat(B,D)) != plus_plus_nat(times_times_nat(A_1,D),times_times_nat(B,C_1)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_648_crossproduct__noteq,axiom,
% 26.12/26.21 ! [C_1,D,A_1,B] :
% 26.12/26.21 ( ( is_int(C_1)
% 26.12/26.21 & is_int(D)
% 26.12/26.21 & is_int(A_1)
% 26.12/26.21 & is_int(B) )
% 26.12/26.21 => ( ( A_1 != B
% 26.12/26.21 & C_1 != D )
% 26.12/26.21 <=> plus_plus_int(times_times_int(A_1,C_1),times_times_int(B,D)) != plus_plus_int(times_times_int(A_1,D),times_times_int(B,C_1)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_649_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 26.12/26.21 ! [X_6,Y_5,Z_3] : times_times_real(X_6,plus_plus_real(Y_5,Z_3)) = plus_plus_real(times_times_real(X_6,Y_5),times_times_real(X_6,Z_3)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_650_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 26.12/26.21 ! [X_6,Y_5,Z_3] : times_times_nat(X_6,plus_plus_nat(Y_5,Z_3)) = plus_plus_nat(times_times_nat(X_6,Y_5),times_times_nat(X_6,Z_3)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_651_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 26.12/26.21 ! [X_6,Y_5,Z_3] : times_times_int(X_6,plus_plus_int(Y_5,Z_3)) = plus_plus_int(times_times_int(X_6,Y_5),times_times_int(X_6,Z_3)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_652_nat__int,axiom,
% 26.12/26.21 ! [N] : nat(hAPP_nat_int(semiri1621563631at_int,N)) = N ).
% 26.12/26.21
% 26.12/26.21 fof(fact_653_mult_Ocomm__neutral,axiom,
% 26.12/26.21 ! [A_19] : times_times_real(A_19,one_one_real) = A_19 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_654_mult_Ocomm__neutral,axiom,
% 26.12/26.21 ! [A_19] : times_times_nat(A_19,one_one_nat) = A_19 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_655_mult_Ocomm__neutral,axiom,
% 26.12/26.21 ! [A_19] :
% 26.12/26.21 ( is_int(A_19)
% 26.12/26.21 => times_times_int(A_19,one_one_int) = A_19 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_656_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 26.12/26.21 ! [A_18] : times_times_real(A_18,one_one_real) = A_18 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_657_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 26.12/26.21 ! [A_18] : times_times_nat(A_18,one_one_nat) = A_18 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_658_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 26.12/26.21 ! [A_18] :
% 26.12/26.21 ( is_int(A_18)
% 26.12/26.21 => times_times_int(A_18,one_one_int) = A_18 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_659_mult__1__right,axiom,
% 26.12/26.21 ! [A_17] : times_times_real(A_17,one_one_real) = A_17 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_660_mult__1__right,axiom,
% 26.12/26.21 ! [A_17] : times_times_nat(A_17,one_one_nat) = A_17 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_661_mult__1__right,axiom,
% 26.12/26.21 ! [A_17] :
% 26.12/26.21 ( is_int(A_17)
% 26.12/26.21 => times_times_int(A_17,one_one_int) = A_17 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_662_mult__1,axiom,
% 26.12/26.21 ! [A_16] : times_times_real(one_one_real,A_16) = A_16 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_663_mult__1,axiom,
% 26.12/26.21 ! [A_16] : times_times_nat(one_one_nat,A_16) = A_16 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_664_mult__1,axiom,
% 26.12/26.21 ! [A_16] :
% 26.12/26.21 ( is_int(A_16)
% 26.12/26.21 => times_times_int(one_one_int,A_16) = A_16 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_665_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 26.12/26.21 ! [A_15] : times_times_real(one_one_real,A_15) = A_15 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_666_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 26.12/26.21 ! [A_15] : times_times_nat(one_one_nat,A_15) = A_15 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_667_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 26.12/26.21 ! [A_15] :
% 26.12/26.21 ( is_int(A_15)
% 26.12/26.21 => times_times_int(one_one_int,A_15) = A_15 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_668_mult__1__left,axiom,
% 26.12/26.21 ! [A_14] : times_times_real(one_one_real,A_14) = A_14 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_669_mult__1__left,axiom,
% 26.12/26.21 ! [A_14] : times_times_nat(one_one_nat,A_14) = A_14 ).
% 26.12/26.21
% 26.12/26.21 fof(fact_670_mult__1__left,axiom,
% 26.12/26.21 ! [A_14] :
% 26.12/26.21 ( is_int(A_14)
% 26.12/26.21 => times_times_int(one_one_int,A_14) = A_14 ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_671_add__le__imp__le__left,axiom,
% 26.12/26.21 ! [C_6,A_13,B_8] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(C_6,A_13)),plus_plus_real(C_6,B_8)))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_13),B_8)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_672_add__le__imp__le__left,axiom,
% 26.12/26.21 ! [C_6,A_13,B_8] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(C_6,A_13)),plus_plus_nat(C_6,B_8)))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_13),B_8)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_673_add__le__imp__le__left,axiom,
% 26.12/26.21 ! [C_6,A_13,B_8] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(C_6,A_13)),plus_plus_int(C_6,B_8)))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_13),B_8)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_674_add__le__imp__le__right,axiom,
% 26.12/26.21 ! [A_12,C_5,B_7] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A_12,C_5)),plus_plus_real(B_7,C_5)))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_12),B_7)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_675_add__le__imp__le__right,axiom,
% 26.12/26.21 ! [A_12,C_5,B_7] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A_12,C_5)),plus_plus_nat(B_7,C_5)))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_12),B_7)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_676_add__le__imp__le__right,axiom,
% 26.12/26.21 ! [A_12,C_5,B_7] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A_12,C_5)),plus_plus_int(B_7,C_5)))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_12),B_7)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_677_add__mono,axiom,
% 26.12/26.21 ! [C_4,D_3,A_11,B_6] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_11),B_6))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_4),D_3))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A_11,C_4)),plus_plus_real(B_6,D_3))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_678_add__mono,axiom,
% 26.12/26.21 ! [C_4,D_3,A_11,B_6] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_11),B_6))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_4),D_3))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A_11,C_4)),plus_plus_nat(B_6,D_3))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_679_add__mono,axiom,
% 26.12/26.21 ! [C_4,D_3,A_11,B_6] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_11),B_6))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_4),D_3))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A_11,C_4)),plus_plus_int(B_6,D_3))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_680_add__left__mono,axiom,
% 26.12/26.21 ! [C_3,A_10,B_5] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_10),B_5))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(C_3,A_10)),plus_plus_real(C_3,B_5))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_681_add__left__mono,axiom,
% 26.12/26.21 ! [C_3,A_10,B_5] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_10),B_5))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(C_3,A_10)),plus_plus_nat(C_3,B_5))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_682_add__left__mono,axiom,
% 26.12/26.21 ! [C_3,A_10,B_5] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_10),B_5))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(C_3,A_10)),plus_plus_int(C_3,B_5))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_683_add__right__mono,axiom,
% 26.12/26.21 ! [C_2,A_9,B_4] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_9),B_4))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A_9,C_2)),plus_plus_real(B_4,C_2))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_684_add__right__mono,axiom,
% 26.12/26.21 ! [C_2,A_9,B_4] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_9),B_4))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A_9,C_2)),plus_plus_nat(B_4,C_2))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_685_add__right__mono,axiom,
% 26.12/26.21 ! [C_2,A_9,B_4] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_9),B_4))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A_9,C_2)),plus_plus_int(B_4,C_2))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_686_add__le__cancel__left,axiom,
% 26.12/26.21 ! [C_1,A_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(C_1,A_1)),plus_plus_real(C_1,B)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),B)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_687_add__le__cancel__left,axiom,
% 26.12/26.21 ! [C_1,A_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(C_1,A_1)),plus_plus_nat(C_1,B)))
% 26.12/26.21 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_1),B)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_688_add__le__cancel__left,axiom,
% 26.12/26.21 ! [C_1,A_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(C_1,A_1)),plus_plus_int(C_1,B)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),B)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_689_add__le__cancel__right,axiom,
% 26.12/26.21 ! [A_1,C_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A_1,C_1)),plus_plus_real(B,C_1)))
% 26.12/26.21 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_1),B)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_690_add__le__cancel__right,axiom,
% 26.12/26.21 ! [A_1,C_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A_1,C_1)),plus_plus_nat(B,C_1)))
% 26.12/26.21 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_1),B)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_691_add__le__cancel__right,axiom,
% 26.12/26.21 ! [A_1,C_1,B] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A_1,C_1)),plus_plus_int(B,C_1)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_1),B)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_692_less__imp__diff__less,axiom,
% 26.12/26.21 ! [N,J_1,K_1] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(J_1,N)),K_1)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_693_diff__less__mono2,axiom,
% 26.12/26.21 ! [L,M,N] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_694_power__commutes,axiom,
% 26.12/26.21 ! [A_8,N_7] : times_times_real(hAPP_nat_real(power_power_real(A_8),N_7),A_8) = times_times_real(A_8,hAPP_nat_real(power_power_real(A_8),N_7)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_695_power__commutes,axiom,
% 26.12/26.21 ! [A_8,N_7] : times_times_nat(hAPP_nat_nat(power_power_nat(A_8),N_7),A_8) = times_times_nat(A_8,hAPP_nat_nat(power_power_nat(A_8),N_7)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_696_power__commutes,axiom,
% 26.12/26.21 ! [A_8,N_7] : times_times_int(hAPP_nat_int(power_power_int(A_8),N_7),A_8) = times_times_int(A_8,hAPP_nat_int(power_power_int(A_8),N_7)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_697_power__mult__distrib,axiom,
% 26.12/26.21 ! [A_7,B_3,N_6] : hAPP_nat_real(power_power_real(times_times_real(A_7,B_3)),N_6) = times_times_real(hAPP_nat_real(power_power_real(A_7),N_6),hAPP_nat_real(power_power_real(B_3),N_6)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_698_power__mult__distrib,axiom,
% 26.12/26.21 ! [A_7,B_3,N_6] : hAPP_nat_nat(power_power_nat(times_times_nat(A_7,B_3)),N_6) = times_times_nat(hAPP_nat_nat(power_power_nat(A_7),N_6),hAPP_nat_nat(power_power_nat(B_3),N_6)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_699_power__mult__distrib,axiom,
% 26.12/26.21 ! [A_7,B_3,N_6] : hAPP_nat_int(power_power_int(times_times_int(A_7,B_3)),N_6) = times_times_int(hAPP_nat_int(power_power_int(A_7),N_6),hAPP_nat_int(power_power_int(B_3),N_6)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_700_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 26.12/26.21 ! [X_5,Y_4,Q_2] : hAPP_nat_real(power_power_real(times_times_real(X_5,Y_4)),Q_2) = times_times_real(hAPP_nat_real(power_power_real(X_5),Q_2),hAPP_nat_real(power_power_real(Y_4),Q_2)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_701_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 26.12/26.21 ! [X_5,Y_4,Q_2] : hAPP_nat_nat(power_power_nat(times_times_nat(X_5,Y_4)),Q_2) = times_times_nat(hAPP_nat_nat(power_power_nat(X_5),Q_2),hAPP_nat_nat(power_power_nat(Y_4),Q_2)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_702_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 26.12/26.21 ! [X_5,Y_4,Q_2] : hAPP_nat_int(power_power_int(times_times_int(X_5,Y_4)),Q_2) = times_times_int(hAPP_nat_int(power_power_int(X_5),Q_2),hAPP_nat_int(power_power_int(Y_4),Q_2)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_703_diff__add__inverse2,axiom,
% 26.12/26.21 ! [M,N] : minus_minus_nat(plus_plus_nat(M,N),N) = M ).
% 26.12/26.21
% 26.12/26.21 fof(fact_704_diff__add__inverse,axiom,
% 26.12/26.21 ! [N,M] : minus_minus_nat(plus_plus_nat(N,M),N) = M ).
% 26.12/26.21
% 26.12/26.21 fof(fact_705_diff__diff__left,axiom,
% 26.12/26.21 ! [I_2,J_1,K_1] : minus_minus_nat(minus_minus_nat(I_2,J_1),K_1) = minus_minus_nat(I_2,plus_plus_nat(J_1,K_1)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_706_Nat_Odiff__cancel,axiom,
% 26.12/26.21 ! [K_1,M,N] : minus_minus_nat(plus_plus_nat(K_1,M),plus_plus_nat(K_1,N)) = minus_minus_nat(M,N) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_707_diff__cancel2,axiom,
% 26.12/26.21 ! [M,K_1,N] : minus_minus_nat(plus_plus_nat(M,K_1),plus_plus_nat(N,K_1)) = minus_minus_nat(M,N) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_708_mult__Pls,axiom,
% 26.12/26.21 ! [W] : times_times_int(pls,W) = pls ).
% 26.12/26.21
% 26.12/26.21 fof(fact_709_mult__Bit0,axiom,
% 26.12/26.21 ! [K_1,L] : times_times_int(bit0(K_1),L) = bit0(times_times_int(K_1,L)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_710_rel__simps_I34_J,axiom,
% 26.12/26.21 ! [K,L_1] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),bit1(L_1)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_711_less__eq__int__code_I16_J,axiom,
% 26.12/26.21 ! [K1,K2] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit1(K2)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_712_rel__simps_I19_J,axiom,
% 26.12/26.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_713_rel__simps_I31_J,axiom,
% 26.12/26.21 ! [K,L_1] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),bit0(L_1)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_714_less__eq__int__code_I13_J,axiom,
% 26.12/26.21 ! [K1,K2] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K1)),bit0(K2)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_715_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 26.12/26.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_716_zmult__1,axiom,
% 26.12/26.21 ! [Z] :
% 26.12/26.21 ( is_int(Z)
% 26.12/26.21 => times_times_int(one_one_int,Z) = Z ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_717_zmult__1__right,axiom,
% 26.12/26.21 ! [Z] :
% 26.12/26.21 ( is_int(Z)
% 26.12/26.21 => times_times_int(Z,one_one_int) = Z ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_718_zless__le,axiom,
% 26.12/26.21 ! [Z_1,Wa] :
% 26.12/26.21 ( ( is_int(Z_1)
% 26.12/26.21 & is_int(Wa) )
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),Wa))
% 26.12/26.21 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),Wa))
% 26.12/26.21 & Z_1 != Wa ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_719_zadd__zmult__distrib2,axiom,
% 26.12/26.21 ! [W,Z1,Z2] : times_times_int(W,plus_plus_int(Z1,Z2)) = plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_720_zadd__zmult__distrib,axiom,
% 26.12/26.21 ! [Z1,Z2,W] : times_times_int(plus_plus_int(Z1,Z2),W) = plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_721_zadd__left__mono,axiom,
% 26.12/26.21 ! [K_1,I_2,J_1] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),J_1))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(K_1,I_2)),plus_plus_int(K_1,J_1))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_722_times__numeral__code_I5_J,axiom,
% 26.12/26.21 ! [V_1,W] : times_times_int(number_number_of_int(V_1),number_number_of_int(W)) = number_number_of_int(times_times_int(V_1,W)) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_723_less__eq__number__of__int__code,axiom,
% 26.12/26.21 ! [K,L_1] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(K)),number_number_of_int(L_1)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_724_convex__bound__le,axiom,
% 26.12/26.21 ! [V_5,U_3,Y_3,X_4,A_6] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_4),A_6))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Y_3),A_6))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),U_3))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),V_5))
% 26.12/26.21 => ( plus_plus_real(U_3,V_5) = one_one_real
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(times_times_real(U_3,X_4),times_times_real(V_5,Y_3))),A_6)) ) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_725_convex__bound__le,axiom,
% 26.12/26.21 ! [V_5,U_3,Y_3,X_4,A_6] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_4),A_6))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_3),A_6))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),U_3))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),V_5))
% 26.12/26.21 => ( plus_plus_int(U_3,V_5) = one_one_int
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(times_times_int(U_3,X_4),times_times_int(V_5,Y_3))),A_6)) ) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_726_transfer__nat__int__relations_I2_J,axiom,
% 26.12/26.21 ! [Ya,Xa] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Ya))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Xa)),nat(Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_727_nat__less__eq__zless,axiom,
% 26.12/26.21 ! [Z_1,Wa] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Wa))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_728_le__special_I1_J,axiom,
% 26.12/26.21 ! [Ya] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),Ya)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_729_le__special_I1_J,axiom,
% 26.12/26.21 ! [Ya] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),Ya)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_730_le__special_I3_J,axiom,
% 26.12/26.21 ! [Xa] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(Xa)),zero_zero_real))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),pls)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_731_le__special_I3_J,axiom,
% 26.12/26.21 ! [Xa] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(Xa)),zero_zero_int))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),pls)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_732_power__decreasing,axiom,
% 26.12/26.21 ! [A_5,N_5,N_4] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_5),N_4))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_5))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_5),one_one_real))
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_5),N_4)),hAPP_nat_real(power_power_real(A_5),N_5))) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_733_power__decreasing,axiom,
% 26.12/26.21 ! [A_5,N_5,N_4] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_5),N_4))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_5))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_5),one_one_nat))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_5),N_4)),hAPP_nat_nat(power_power_nat(A_5),N_5))) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_734_power__decreasing,axiom,
% 26.12/26.21 ! [A_5,N_5,N_4] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_5),N_4))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_5))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_5),one_one_int))
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_5),N_4)),hAPP_nat_int(power_power_int(A_5),N_5))) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_735_power__increasing__iff,axiom,
% 26.12/26.21 ! [Xa,Ya,B] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(B),Xa)),hAPP_nat_real(power_power_real(B),Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_736_power__increasing__iff,axiom,
% 26.12/26.21 ! [Xa,Ya,B] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(B),Xa)),hAPP_nat_nat(power_power_nat(B),Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_737_power__increasing__iff,axiom,
% 26.12/26.21 ! [Xa,Ya,B] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(B),Xa)),hAPP_nat_int(power_power_int(B),Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_738_power__le__imp__le__exp,axiom,
% 26.12/26.21 ! [M_2,N_3,A_4] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_4))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_4),M_2)),hAPP_nat_real(power_power_real(A_4),N_3)))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_3)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_739_power__le__imp__le__exp,axiom,
% 26.12/26.21 ! [M_2,N_3,A_4] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_4))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_4),M_2)),hAPP_nat_nat(power_power_nat(A_4),N_3)))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_3)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_740_power__le__imp__le__exp,axiom,
% 26.12/26.21 ! [M_2,N_3,A_4] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_4))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_4),M_2)),hAPP_nat_int(power_power_int(A_4),N_3)))
% 26.12/26.21 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_2),N_3)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_741_nat__eq__iff2,axiom,
% 26.12/26.21 ! [Ma,Wa] :
% 26.12/26.21 ( is_int(Wa)
% 26.12/26.21 => ( Ma = nat(Wa)
% 26.12/26.21 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Wa))
% 26.12/26.21 => Wa = hAPP_nat_int(semiri1621563631at_int,Ma) )
% 26.12/26.21 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Wa))
% 26.12/26.21 => Ma = zero_zero_nat ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_742_nat__eq__iff,axiom,
% 26.12/26.21 ! [Wa,Ma] :
% 26.12/26.21 ( is_int(Wa)
% 26.12/26.21 => ( nat(Wa) = Ma
% 26.12/26.21 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Wa))
% 26.12/26.21 => Wa = hAPP_nat_int(semiri1621563631at_int,Ma) )
% 26.12/26.21 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Wa))
% 26.12/26.21 => Ma = zero_zero_nat ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_743_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 26.12/26.21 ! [Y,X] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y))
% 26.12/26.21 => plus_plus_nat(nat(X),nat(Y)) = nat(plus_plus_int(X,Y)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_744_nat__add__distrib,axiom,
% 26.12/26.21 ! [Z_2,Z] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_2))
% 26.12/26.21 => nat(plus_plus_int(Z,Z_2)) = plus_plus_nat(nat(Z),nat(Z_2)) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_745_int__eq__iff__number__of,axiom,
% 26.12/26.21 ! [Ma,Va] :
% 26.12/26.21 ( hAPP_nat_int(semiri1621563631at_int,Ma) = number_number_of_int(Va)
% 26.12/26.21 <=> ( Ma = nat(number_number_of_int(Va))
% 26.12/26.21 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(Va))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_746_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 26.12/26.21 ! [N,X] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.21 => hAPP_nat_nat(power_power_nat(nat(X)),N) = nat(hAPP_nat_int(power_power_int(X),N)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_747_nat__power__eq,axiom,
% 26.12/26.21 ! [N,Z] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 26.12/26.21 => nat(hAPP_nat_int(power_power_int(Z),N)) = hAPP_nat_nat(power_power_nat(nat(Z)),N) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_748_convex__bound__lt,axiom,
% 26.12/26.21 ! [V_4,U_2,Y_2,X_3,A_3] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_3),A_3))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),A_3))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),U_2))
% 26.12/26.21 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),V_4))
% 26.12/26.21 => ( plus_plus_real(U_2,V_4) = one_one_real
% 26.12/26.21 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(times_times_real(U_2,X_3),times_times_real(V_4,Y_2))),A_3)) ) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_749_convex__bound__lt,axiom,
% 26.12/26.21 ! [V_4,U_2,Y_2,X_3,A_3] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_3),A_3))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_2),A_3))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),U_2))
% 26.12/26.21 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),V_4))
% 26.12/26.21 => ( plus_plus_int(U_2,V_4) = one_one_int
% 26.12/26.21 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(U_2,X_3),times_times_int(V_4,Y_2))),A_3)) ) ) ) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_750_nat__less__iff,axiom,
% 26.12/26.21 ! [Ma,Wa] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Wa))
% 26.12/26.21 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),Ma))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_nat_int(semiri1621563631at_int,Ma))) ) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_751_le__special_I2_J,axiom,
% 26.12/26.21 ! [Ya] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),Ya)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_752_le__special_I2_J,axiom,
% 26.12/26.21 ! [Ya] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(Ya)))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),Ya)) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_753_le__special_I4_J,axiom,
% 26.12/26.21 ! [Xa] :
% 26.12/26.21 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(Xa)),one_one_real))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),bit1(pls))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_754_le__special_I4_J,axiom,
% 26.12/26.21 ! [Xa] :
% 26.12/26.21 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(Xa)),one_one_int))
% 26.12/26.21 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),bit1(pls))) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_755_realpow__minus__mult,axiom,
% 26.12/26.21 ! [X_2,N_2] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))
% 26.12/26.21 => times_times_real(hAPP_nat_real(power_power_real(X_2),minus_minus_nat(N_2,one_one_nat)),X_2) = hAPP_nat_real(power_power_real(X_2),N_2) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_756_realpow__minus__mult,axiom,
% 26.12/26.21 ! [X_2,N_2] :
% 26.12/26.21 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))
% 26.12/26.21 => times_times_nat(hAPP_nat_nat(power_power_nat(X_2),minus_minus_nat(N_2,one_one_nat)),X_2) = hAPP_nat_nat(power_power_nat(X_2),N_2) ) ).
% 26.12/26.21
% 26.12/26.21 fof(fact_757_realpow__minus__mult,axiom,
% 26.12/26.21 ! [X_2,N_2] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))
% 26.12/26.22 => times_times_int(hAPP_nat_int(power_power_int(X_2),minus_minus_nat(N_2,one_one_nat)),X_2) = hAPP_nat_int(power_power_int(X_2),N_2) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_758_less__iff__diff__less__0,axiom,
% 26.12/26.22 ! [A_1,B] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B))
% 26.12/26.22 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,minus_minus_real(A_1,B)),zero_zero_real)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_759_less__iff__diff__less__0,axiom,
% 26.12/26.22 ! [A_1,B] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A_1,B)),zero_zero_int)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_760_transfer__nat__int__numerals_I1_J,axiom,
% 26.12/26.22 zero_zero_nat = nat(zero_zero_int) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_761_nat__0,axiom,
% 26.12/26.22 nat(zero_zero_int) = zero_zero_nat ).
% 26.12/26.22
% 26.12/26.22 fof(fact_762_not__square__less__zero,axiom,
% 26.12/26.22 ! [A_2] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_2,A_2)),zero_zero_real)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_763_not__square__less__zero,axiom,
% 26.12/26.22 ! [A_2] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_2,A_2)),zero_zero_int)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_764_mult__less__cancel__right__disj,axiom,
% 26.12/26.22 ! [A_1,C_1,B] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A_1,C_1)),times_times_real(B,C_1)))
% 26.12/26.22 <=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_1))
% 26.12/26.22 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B)) )
% 26.12/26.22 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_1),zero_zero_real))
% 26.12/26.22 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A_1)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_765_mult__less__cancel__right__disj,axiom,
% 26.12/26.22 ! [A_1,C_1,B] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A_1,C_1)),times_times_int(B,C_1)))
% 26.12/26.22 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))
% 26.12/26.22 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B)) )
% 26.12/26.22 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_1),zero_zero_int))
% 26.12/26.22 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A_1)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_766_nat__number__of,axiom,
% 26.12/26.22 ! [W] : nat(number_number_of_int(W)) = number_number_of_nat(W) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_767_nat__number__of__def,axiom,
% 26.12/26.22 ! [V_1] : number_number_of_nat(V_1) = nat(number_number_of_int(V_1)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_768_transfer__nat__int__numerals_I2_J,axiom,
% 26.12/26.22 one_one_nat = nat(one_one_int) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_769_zero__less__diff,axiom,
% 26.12/26.22 ! [Na,Ma] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),minus_minus_nat(Na,Ma)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_770_diff__less,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(M,N)),M)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_771_diff__add__0,axiom,
% 26.12/26.22 ! [N,M] : minus_minus_nat(N,plus_plus_nat(N,M)) = zero_zero_nat ).
% 26.12/26.22
% 26.12/26.22 fof(fact_772_less__diff__conv,axiom,
% 26.12/26.22 ! [I_1,J,K] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),minus_minus_nat(J,K)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(I_1,K)),J)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_773_add__diff__inverse,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 26.12/26.22 => plus_plus_nat(N,minus_minus_nat(M,N)) = M ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_774_rel__simps_I22_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(K)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_775_rel__simps_I32_J,axiom,
% 26.12/26.22 ! [K,L_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),bit1(L_1)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_776_less__eq__int__code_I14_J,axiom,
% 26.12/26.22 ! [K1,K2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K1)),bit1(K2)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_777_rel__simps_I21_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(K)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_778_rel__simps_I27_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),pls))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),pls)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_779_pos__zmult__pos,axiom,
% 26.12/26.22 ! [B_1,A] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),times_times_int(A,B_1)))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_780_zmult__zless__mono2,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(K_1,I_2)),times_times_int(K_1,J_1))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_781_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_782_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 26.12/26.22 ! [Y,X] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),plus_plus_int(X,Y))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_783_zadd__zless__mono,axiom,
% 26.12/26.22 ! [Z_2,Z,W_2,W] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_2),W))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),Z))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(W_2,Z_2)),plus_plus_int(W,Z))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_784_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 26.12/26.22 ! [Z] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_785_transfer__int__nat__quantifiers_I2_J,axiom,
% 26.12/26.22 ! [P_1] :
% 26.12/26.22 ( ? [X_1] :
% 26.12/26.22 ( is_int(X_1)
% 26.12/26.22 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 26.12/26.22 & hBOOL(hAPP_int_bool(P_1,X_1)) )
% 26.12/26.22 <=> ? [X_1] : hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_786_transfer__int__nat__quantifiers_I1_J,axiom,
% 26.12/26.22 ! [P_1] :
% 26.12/26.22 ( ! [X_1] :
% 26.12/26.22 ( is_int(X_1)
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 26.12/26.22 => hBOOL(hAPP_int_bool(P_1,X_1)) ) )
% 26.12/26.22 <=> ! [X_1] : hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_787_zero__zle__int,axiom,
% 26.12/26.22 ! [N] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_788_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 26.12/26.22 ! [N,X] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X),N))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_789_zle__iff__zadd,axiom,
% 26.12/26.22 ! [Wa,Z_1] :
% 26.12/26.22 ( is_int(Z_1)
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),Z_1))
% 26.12/26.22 <=> ? [N_1] : Z_1 = plus_plus_int(Wa,hAPP_nat_int(semiri1621563631at_int,N_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_790_zpower__zadd__distrib,axiom,
% 26.12/26.22 ! [X,Y,Z] : hAPP_nat_int(power_power_int(X),plus_plus_nat(Y,Z)) = times_times_int(hAPP_nat_int(power_power_int(X),Y),hAPP_nat_int(power_power_int(X),Z)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_791_nat__mono__iff,axiom,
% 26.12/26.22 ! [Wa,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_792_zless__nat__conj,axiom,
% 26.12/26.22 ! [Wa,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(Wa)),nat(Z_1)))
% 26.12/26.22 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))
% 26.12/26.22 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_793_zless__nat__eq__int__zless,axiom,
% 26.12/26.22 ! [Ma,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),nat(Z_1)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_794_nat__diff__split__asm,axiom,
% 26.12/26.22 ! [P_1,A_1,B] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))
% 26.12/26.22 <=> ~ ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))
% 26.12/26.22 & ~ hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)) )
% 26.12/26.22 | ? [D_2] :
% 26.12/26.22 ( A_1 = plus_plus_nat(B,D_2)
% 26.12/26.22 & ~ hBOOL(hAPP_nat_bool(P_1,D_2)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_795_nat__diff__split,axiom,
% 26.12/26.22 ! [P_1,A_1,B] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(P_1,minus_minus_nat(A_1,B)))
% 26.12/26.22 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)) )
% 26.12/26.22 & ! [D_2] :
% 26.12/26.22 ( A_1 = plus_plus_nat(B,D_2)
% 26.12/26.22 => hBOOL(hAPP_nat_bool(P_1,D_2)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_796_eq__0__number__of,axiom,
% 26.12/26.22 ! [Va] :
% 26.12/26.22 ( zero_zero_nat = number_number_of_nat(Va)
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),pls)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_797_eq__number__of__0,axiom,
% 26.12/26.22 ! [Va] :
% 26.12/26.22 ( number_number_of_nat(Va) = zero_zero_nat
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),pls)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_798_rel__simps_I5_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_799_rel__simps_I29_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),pls))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_800_rel__simps_I15_J,axiom,
% 26.12/26.22 ! [K,L_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit1(L_1)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_801_less__int__code_I14_J,axiom,
% 26.12/26.22 ! [K1,K2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_802_rel__simps_I33_J,axiom,
% 26.12/26.22 ! [K,L_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),bit0(L_1)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_803_less__eq__int__code_I15_J,axiom,
% 26.12/26.22 ! [K1,K2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit0(K2)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_804_mult__Bit1,axiom,
% 26.12/26.22 ! [K_1,L] : times_times_int(bit1(K_1),L) = plus_plus_int(bit0(times_times_int(K_1,L)),L) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_805_pos__zmult__eq__1__iff,axiom,
% 26.12/26.22 ! [Na,Ma] :
% 26.12/26.22 ( ( is_int(Na)
% 26.12/26.22 & is_int(Ma) )
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))
% 26.12/26.22 => ( times_times_int(Ma,Na) = one_one_int
% 26.12/26.22 <=> ( Ma = one_one_int
% 26.12/26.22 & Na = one_one_int ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_806_int__one__le__iff__zero__less,axiom,
% 26.12/26.22 ! [Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Z_1))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_807_int__le__0__conv,axiom,
% 26.12/26.22 ! [Na] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))
% 26.12/26.22 <=> Na = zero_zero_nat ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_808_succ__Pls,axiom,
% 26.12/26.22 succ(pls) = bit1(pls) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_809_succ__Bit0,axiom,
% 26.12/26.22 ! [K_1] : succ(bit0(K_1)) = bit1(K_1) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_810_succ__Bit1,axiom,
% 26.12/26.22 ! [K_1] : succ(bit1(K_1)) = bit0(succ(K_1)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_811_zle__add1__eq__le,axiom,
% 26.12/26.22 ! [Wa,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),plus_plus_int(Z_1,one_one_int)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),Z_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_812_add1__zle__eq,axiom,
% 26.12/26.22 ! [Wa,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(Wa,one_one_int)),Z_1))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_813_zless__imp__add1__zle,axiom,
% 26.12/26.22 ! [W,Z] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(W,one_one_int)),Z)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_814_succ__def,axiom,
% 26.12/26.22 ! [K_1] : succ(K_1) = plus_plus_int(K_1,one_one_int) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_815_zero__less__nat__eq,axiom,
% 26.12/26.22 ! [Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(Z_1)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_816_transfer__nat__int__numerals_I4_J,axiom,
% 26.12/26.22 number_number_of_nat(bit1(bit1(pls))) = nat(number_number_of_int(bit1(bit1(pls)))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_817_split__nat,axiom,
% 26.12/26.22 ! [P_1,I_1] :
% 26.12/26.22 ( is_int(I_1)
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(P_1,nat(I_1)))
% 26.12/26.22 <=> ( ! [N_1] :
% 26.12/26.22 ( I_1 = hAPP_nat_int(semiri1621563631at_int,N_1)
% 26.12/26.22 => hBOOL(hAPP_nat_bool(P_1,N_1)) )
% 26.12/26.22 & ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_818_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_819_le__imp__0__less,axiom,
% 26.12/26.22 ! [Z] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(one_one_int,Z))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_820_zmult__zless__mono2__lemma,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(hAPP_nat_int(semiri1621563631at_int,K_1),I_2)),times_times_int(hAPP_nat_int(semiri1621563631at_int,K_1),J_1))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_821_add__Bit1__Bit1,axiom,
% 26.12/26.22 ! [K_1,L] : plus_plus_int(bit1(K_1),bit1(L)) = bit0(plus_plus_int(K_1,succ(L))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_822_transfer__nat__int__numerals_I3_J,axiom,
% 26.12/26.22 number_number_of_nat(bit0(bit1(pls))) = nat(number_number_of_int(bit0(bit1(pls)))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_823_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_824_cube__square,axiom,
% 26.12/26.22 ! [A] : times_times_int(A,hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_825_power2__ge__self,axiom,
% 26.12/26.22 ! [X] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X),hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_826_int__pos__lt__two__imp__zero__or__one,axiom,
% 26.12/26.22 ! [X] :
% 26.12/26.22 ( is_int(X)
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),number_number_of_int(bit0(bit1(pls)))))
% 26.12/26.22 => ( X = zero_zero_int
% 26.12/26.22 | X = one_one_int ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_827_Euler_Oaux__1,axiom,
% 26.12/26.22 ! [A,P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_2))
% 26.12/26.22 => hAPP_nat_int(power_power_int(A),nat(P_2)) = times_times_int(A,hAPP_nat_int(power_power_int(A),minus_minus_nat(nat(P_2),one_one_nat))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_828_self__quotient__aux2,axiom,
% 26.12/26.22 ! [R_1,Q,A] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.22 => ( A = plus_plus_int(R_1,times_times_int(A,Q))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q),one_one_int)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_829_self__quotient__aux1,axiom,
% 26.12/26.22 ! [R_1,Q,A] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.22 => ( A = plus_plus_int(R_1,times_times_int(A,Q))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),A))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Q)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_830_smaller_I2_J,axiom,
% 26.12/26.22 ~ ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
% 26.12/26.22 => ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_831_q__pos__lemma,axiom,
% 26.12/26.22 ! [B_2,Q_1,R_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),plus_plus_int(times_times_int(B_2,Q_1),R_2)))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Q_1)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_832_q__neg__lemma,axiom,
% 26.12/26.22 ! [B_2,Q_1,R_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_2,Q_1),R_2)),zero_zero_int))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),zero_zero_int)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_833_nQ1,axiom,
% 26.12/26.22 ~ hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,zero_zero_nat))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_834_le0,axiom,
% 26.12/26.22 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_835_p0,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_836_t__l__p,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_837_qf1pt,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_838_IH,axiom,
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
% 26.12/26.22 & hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_839__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_061_A_I4_A,axiom,
% 26.12/26.22 ~ ! [X_1,Y_1] :
% 26.12/26.22 ( ( is_int(X_1)
% 26.12/26.22 & is_int(Y_1) )
% 26.12/26.22 => plus_plus_int(hAPP_nat_int(power_power_int(X_1),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls))))) != times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_840_t,axiom,
% 26.12/26.22 plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_841_p,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(zprime,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_842__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_,axiom,
% 26.12/26.22 ( t = one_one_int
% 26.12/26.22 => ? [X_1,Y_1] :
% 26.12/26.22 ( is_int(X_1)
% 26.12/26.22 & is_int(Y_1)
% 26.12/26.22 & plus_plus_int(hAPP_nat_int(power_power_int(X_1),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_843_le__refl,axiom,
% 26.12/26.22 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),N)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_844_le__square,axiom,
% 26.12/26.22 ! [M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),times_times_nat(M,M))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_845_le__cube,axiom,
% 26.12/26.22 ! [M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),times_times_nat(M,times_times_nat(M,M)))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_846_nat__mult__commute,axiom,
% 26.12/26.22 ! [M,N] : times_times_nat(M,N) = times_times_nat(N,M) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_847_nat__le__linear,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 26.12/26.22 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_848_nat__mult__assoc,axiom,
% 26.12/26.22 ! [M,N,K_1] : times_times_nat(times_times_nat(M,N),K_1) = times_times_nat(M,times_times_nat(N,K_1)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_849_eq__imp__le,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( M = N
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_850_mult__le__mono1,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,K_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_851_mult__le__mono2,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(K_1,I_2)),times_times_nat(K_1,J_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_852_le__trans,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),K_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),K_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_853_le__antisym,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 26.12/26.22 => M = N ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_854_mult__le__mono,axiom,
% 26.12/26.22 ! [K_1,L,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,L))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_855_real__le__eq__diff,axiom,
% 26.12/26.22 ! [Xa,Ya] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya))
% 26.12/26.22 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,minus_minus_real(Xa,Ya)),zero_zero_real)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_856_mult__le__cancel2,axiom,
% 26.12/26.22 ! [Ma,K,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))
% 26.12/26.22 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_857_mult__le__cancel1,axiom,
% 26.12/26.22 ! [K,Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))
% 26.12/26.22 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_858_real__mult__le__cancel__iff1,axiom,
% 26.12/26.22 ! [Xa,Ya,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))
% 26.12/26.22 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))
% 26.12/26.22 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_859_real__mult__le__cancel__iff2,axiom,
% 26.12/26.22 ! [Xa,Ya,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))
% 26.12/26.22 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,times_times_real(Z_1,Xa)),times_times_real(Z_1,Ya)))
% 26.12/26.22 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_860_zdiff__int,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 26.12/26.22 => minus_minus_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(M,N)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_861_diff__bin__simps_I1_J,axiom,
% 26.12/26.22 ! [K_1] :
% 26.12/26.22 ( is_int(K_1)
% 26.12/26.22 => minus_minus_int(K_1,pls) = K_1 ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_862_diff__bin__simps_I7_J,axiom,
% 26.12/26.22 ! [K_1,L] : minus_minus_int(bit0(K_1),bit0(L)) = bit0(minus_minus_int(K_1,L)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_863_zdiff__zmult__distrib,axiom,
% 26.12/26.22 ! [Z1,Z2,W] : times_times_int(minus_minus_int(Z1,Z2),W) = minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_864_zdiff__zmult__distrib2,axiom,
% 26.12/26.22 ! [W,Z1,Z2] : times_times_int(W,minus_minus_int(Z1,Z2)) = minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_865_mult__0,axiom,
% 26.12/26.22 ! [N] : times_times_nat(zero_zero_nat,N) = zero_zero_nat ).
% 26.12/26.22
% 26.12/26.22 fof(fact_866_mult__0__right,axiom,
% 26.12/26.22 ! [M] : times_times_nat(M,zero_zero_nat) = zero_zero_nat ).
% 26.12/26.22
% 26.12/26.22 fof(fact_867_mult__is__0,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( times_times_nat(Ma,Na) = zero_zero_nat
% 26.12/26.22 <=> ( Ma = zero_zero_nat
% 26.12/26.22 | Na = zero_zero_nat ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_868_mult__cancel1,axiom,
% 26.12/26.22 ! [K,Ma,Na] :
% 26.12/26.22 ( times_times_nat(K,Ma) = times_times_nat(K,Na)
% 26.12/26.22 <=> ( Ma = Na
% 26.12/26.22 | K = zero_zero_nat ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_869_mult__cancel2,axiom,
% 26.12/26.22 ! [Ma,K,Na] :
% 26.12/26.22 ( times_times_nat(Ma,K) = times_times_nat(Na,K)
% 26.12/26.22 <=> ( Ma = Na
% 26.12/26.22 | K = zero_zero_nat ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_870_less__eq__nat_Osimps_I1_J,axiom,
% 26.12/26.22 ! [N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_871_le__0__eq,axiom,
% 26.12/26.22 ! [Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Na),zero_zero_nat))
% 26.12/26.22 <=> Na = zero_zero_nat ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_872_real__mult__left__cancel,axiom,
% 26.12/26.22 ! [A_1,B,C_1] :
% 26.12/26.22 ( C_1 != zero_zero_real
% 26.12/26.22 => ( times_times_real(C_1,A_1) = times_times_real(C_1,B)
% 26.12/26.22 <=> A_1 = B ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_873_real__mult__right__cancel,axiom,
% 26.12/26.22 ! [A_1,B,C_1] :
% 26.12/26.22 ( C_1 != zero_zero_real
% 26.12/26.22 => ( times_times_real(A_1,C_1) = times_times_real(B,C_1)
% 26.12/26.22 <=> A_1 = B ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_874_less__or__eq__imp__le,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 26.12/26.22 | M = N )
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_875_le__neq__implies__less,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 26.12/26.22 => ( M != N
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_876_less__imp__le__nat,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_877_le__eq__less__or__eq,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na))
% 26.12/26.22 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))
% 26.12/26.22 | Ma = Na ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_878_nat__less__le,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))
% 26.12/26.22 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na))
% 26.12/26.22 & Ma != Na ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_879_real__less__def,axiom,
% 26.12/26.22 ! [Xa,Ya] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))
% 26.12/26.22 <=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya))
% 26.12/26.22 & Xa != Ya ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_880_less__eq__real__def,axiom,
% 26.12/26.22 ! [Xa,Ya] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Xa),Ya))
% 26.12/26.22 <=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))
% 26.12/26.22 | Xa = Ya ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_881_add__mult__distrib,axiom,
% 26.12/26.22 ! [M,N,K_1] : times_times_nat(plus_plus_nat(M,N),K_1) = plus_plus_nat(times_times_nat(M,K_1),times_times_nat(N,K_1)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_882_add__mult__distrib2,axiom,
% 26.12/26.22 ! [K_1,M,N] : times_times_nat(K_1,plus_plus_nat(M,N)) = plus_plus_nat(times_times_nat(K_1,M),times_times_nat(K_1,N)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_883_add__leE,axiom,
% 26.12/26.22 ! [M,K_1,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(M,K_1)),N))
% 26.12/26.22 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 26.12/26.22 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_884_add__leD1,axiom,
% 26.12/26.22 ! [M,K_1,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(M,K_1)),N))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_885_add__leD2,axiom,
% 26.12/26.22 ! [M,K_1,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(M,K_1)),N))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_886_add__le__mono,axiom,
% 26.12/26.22 ! [K_1,L,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,L))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_887_add__le__mono1,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(I_2,K_1)),plus_plus_nat(J_1,K_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_888_trans__le__add2,axiom,
% 26.12/26.22 ! [M,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),plus_plus_nat(M,J_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_889_trans__le__add1,axiom,
% 26.12/26.22 ! [M,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),plus_plus_nat(J_1,M))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_890_nat__add__left__cancel__le,axiom,
% 26.12/26.22 ! [K,Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(K,Ma)),plus_plus_nat(K,Na)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_891_le__iff__add,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na))
% 26.12/26.22 <=> ? [K_2] : Na = plus_plus_nat(Ma,K_2) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_892_le__add1,axiom,
% 26.12/26.22 ! [N,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),plus_plus_nat(N,M))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_893_le__add2,axiom,
% 26.12/26.22 ! [N,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),plus_plus_nat(M,N))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_894_nat__mult__eq__one,axiom,
% 26.12/26.22 ! [Na,Ma] :
% 26.12/26.22 ( times_times_nat(Na,Ma) = one_one_nat
% 26.12/26.22 <=> ( Na = one_one_nat
% 26.12/26.22 & Ma = one_one_nat ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_895_nat__mult__eq__1__iff,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( times_times_nat(Ma,Na) = one_one_nat
% 26.12/26.22 <=> ( Ma = one_one_nat
% 26.12/26.22 & Na = one_one_nat ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_896_nat__mult__1__right,axiom,
% 26.12/26.22 ! [N] : times_times_nat(N,one_one_nat) = N ).
% 26.12/26.22
% 26.12/26.22 fof(fact_897_nat__1__eq__mult__iff,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( one_one_nat = times_times_nat(Ma,Na)
% 26.12/26.22 <=> ( Ma = one_one_nat
% 26.12/26.22 & Na = one_one_nat ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_898_nat__mult__1,axiom,
% 26.12/26.22 ! [N] : times_times_nat(one_one_nat,N) = N ).
% 26.12/26.22
% 26.12/26.22 fof(fact_899_diff__mult__distrib,axiom,
% 26.12/26.22 ! [M,N,K_1] : times_times_nat(minus_minus_nat(M,N),K_1) = minus_minus_nat(times_times_nat(M,K_1),times_times_nat(N,K_1)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_900_diff__mult__distrib2,axiom,
% 26.12/26.22 ! [K_1,M,N] : times_times_nat(K_1,minus_minus_nat(M,N)) = minus_minus_nat(times_times_nat(K_1,M),times_times_nat(K_1,N)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_901_real__mult__1,axiom,
% 26.12/26.22 ! [Z] : times_times_real(one_one_real,Z) = Z ).
% 26.12/26.22
% 26.12/26.22 fof(fact_902_le__diff__iff,axiom,
% 26.12/26.22 ! [Na,K,Ma] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Ma))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_903_Nat_Odiff__diff__eq,axiom,
% 26.12/26.22 ! [N,K_1,M] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),M))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N))
% 26.12/26.22 => minus_minus_nat(minus_minus_nat(M,K_1),minus_minus_nat(N,K_1)) = minus_minus_nat(M,N) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_904_eq__diff__iff,axiom,
% 26.12/26.22 ! [Na,K,Ma] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Ma))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na))
% 26.12/26.22 => ( minus_minus_nat(Ma,K) = minus_minus_nat(Na,K)
% 26.12/26.22 <=> Ma = Na ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_905_diff__diff__cancel,axiom,
% 26.12/26.22 ! [I_2,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),N))
% 26.12/26.22 => minus_minus_nat(N,minus_minus_nat(N,I_2)) = I_2 ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_906_diff__le__mono,axiom,
% 26.12/26.22 ! [L,M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,minus_minus_nat(M,L)),minus_minus_nat(N,L))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_907_diff__le__mono2,axiom,
% 26.12/26.22 ! [L,M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,minus_minus_nat(L,N)),minus_minus_nat(L,M))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_908_Nat_Odiff__le__self,axiom,
% 26.12/26.22 ! [M,N] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,minus_minus_nat(M,N)),M)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_909_real__add__mult__distrib,axiom,
% 26.12/26.22 ! [Z1,Z2,W] : times_times_real(plus_plus_real(Z1,Z2),W) = plus_plus_real(times_times_real(Z1,W),times_times_real(Z2,W)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_910_zpower__zpower,axiom,
% 26.12/26.22 ! [X,Y,Z] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),Y)),Z) = hAPP_nat_int(power_power_int(X),times_times_nat(Y,Z)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_911_real__add__left__mono,axiom,
% 26.12/26.22 ! [Z,X,Y] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X),Y))
% 26.12/26.22 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(Z,X)),plus_plus_real(Z,Y))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_912_diff__bin__simps_I10_J,axiom,
% 26.12/26.22 ! [K_1,L] : minus_minus_int(bit1(K_1),bit1(L)) = bit0(minus_minus_int(K_1,L)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_913_diff__bin__simps_I9_J,axiom,
% 26.12/26.22 ! [K_1,L] : minus_minus_int(bit1(K_1),bit0(L)) = bit1(minus_minus_int(K_1,L)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_914_diff__bin__simps_I3_J,axiom,
% 26.12/26.22 ! [L] : minus_minus_int(pls,bit0(L)) = bit0(minus_minus_int(pls,L)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_915_Euler_Oaux1,axiom,
% 26.12/26.22 ! [A,X] :
% 26.12/26.22 ( is_int(X)
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),A))
% 26.12/26.22 => ( X != minus_minus_int(A,one_one_int)
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),minus_minus_int(A,one_one_int))) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_916_less__bin__lemma,axiom,
% 26.12/26.22 ! [K,L_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(K,L_1)),zero_zero_int)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_917_mult__less__mono2,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K_1,I_2)),times_times_nat(K_1,J_1))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_918_mult__less__mono1,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(I_2,K_1)),times_times_nat(J_1,K_1))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_919_mult__less__cancel2,axiom,
% 26.12/26.22 ! [Ma,K,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))
% 26.12/26.22 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.22 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_920_mult__less__cancel1,axiom,
% 26.12/26.22 ! [K,Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))
% 26.12/26.22 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.22 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_921_nat__0__less__mult__iff,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),times_times_nat(Ma,Na)))
% 26.12/26.22 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))
% 26.12/26.22 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_922_not__real__square__gt__zero,axiom,
% 26.12/26.22 ! [Xa] :
% 26.12/26.22 ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(Xa,Xa)))
% 26.12/26.22 <=> Xa = zero_zero_real ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_923_real__mult__less__mono2,axiom,
% 26.12/26.22 ! [X,Y,Z] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))
% 26.12/26.22 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))
% 26.12/26.22 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(Z,X)),times_times_real(Z,Y))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_924_real__mult__order,axiom,
% 26.12/26.22 ! [Y,X] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))
% 26.12/26.22 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))
% 26.12/26.22 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),times_times_real(X,Y))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_925_real__mult__less__iff1,axiom,
% 26.12/26.22 ! [Xa,Ya,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))
% 26.12/26.22 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(Xa,Z_1)),times_times_real(Ya,Z_1)))
% 26.12/26.22 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_926_mult__eq__self__implies__10,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( M = times_times_nat(M,N)
% 26.12/26.22 => ( N = one_one_nat
% 26.12/26.22 | M = zero_zero_nat ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_927_diff__is__0__eq,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( minus_minus_nat(Ma,Na) = zero_zero_nat
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_928_diff__is__0__eq_H,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N))
% 26.12/26.22 => minus_minus_nat(M,N) = zero_zero_nat ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_929_real__two__squares__add__zero__iff,axiom,
% 26.12/26.22 ! [Xa,Ya] :
% 26.12/26.22 ( plus_plus_real(times_times_real(Xa,Xa),times_times_real(Ya,Ya)) = zero_zero_real
% 26.12/26.22 <=> ( Xa = zero_zero_real
% 26.12/26.22 & Ya = zero_zero_real ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_930_diff__less__mono,axiom,
% 26.12/26.22 ! [C,A,B_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B_1))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(A,C)),minus_minus_nat(B_1,C))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_931_less__diff__iff,axiom,
% 26.12/26.22 ! [Na,K,Ma] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Ma))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Na))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,minus_minus_nat(Ma,K)),minus_minus_nat(Na,K)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_932_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 26.12/26.22 ! [X,Y] : times_times_int(hAPP_nat_int(semiri1621563631at_int,X),hAPP_nat_int(semiri1621563631at_int,Y)) = hAPP_nat_int(semiri1621563631at_int,times_times_nat(X,Y)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_933_zmult__int,axiom,
% 26.12/26.22 ! [M,N] : times_times_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N)) = hAPP_nat_int(semiri1621563631at_int,times_times_nat(M,N)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_934_int__mult,axiom,
% 26.12/26.22 ! [M,N] : hAPP_nat_int(semiri1621563631at_int,times_times_nat(M,N)) = times_times_int(hAPP_nat_int(semiri1621563631at_int,M),hAPP_nat_int(semiri1621563631at_int,N)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_935_diff__diff__right,axiom,
% 26.12/26.22 ! [I_2,K_1,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1))
% 26.12/26.22 => minus_minus_nat(I_2,minus_minus_nat(J_1,K_1)) = minus_minus_nat(plus_plus_nat(I_2,K_1),J_1) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_936_le__diff__conv,axiom,
% 26.12/26.22 ! [J,K,I_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,minus_minus_nat(J,K)),I_1))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),plus_plus_nat(I_1,K))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_937_le__add__diff,axiom,
% 26.12/26.22 ! [M,K_1,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),minus_minus_nat(plus_plus_nat(N,M),K_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_938_le__add__diff__inverse,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 26.12/26.22 => plus_plus_nat(N,minus_minus_nat(M,N)) = M ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_939_add__diff__assoc,axiom,
% 26.12/26.22 ! [I_2,K_1,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1))
% 26.12/26.22 => plus_plus_nat(I_2,minus_minus_nat(J_1,K_1)) = minus_minus_nat(plus_plus_nat(I_2,J_1),K_1) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_940_le__diff__conv2,axiom,
% 26.12/26.22 ! [I_1,K,J] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),minus_minus_nat(J,K)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(I_1,K)),J)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_941_le__add__diff__inverse2,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 26.12/26.22 => plus_plus_nat(minus_minus_nat(M,N),N) = M ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_942_le__imp__diff__is__add,axiom,
% 26.12/26.22 ! [K,I_1,J] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 26.12/26.22 => ( minus_minus_nat(J,I_1) = K
% 26.12/26.22 <=> J = plus_plus_nat(K,I_1) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_943_diff__add__assoc,axiom,
% 26.12/26.22 ! [I_2,K_1,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1))
% 26.12/26.22 => minus_minus_nat(plus_plus_nat(I_2,J_1),K_1) = plus_plus_nat(I_2,minus_minus_nat(J_1,K_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_944_add__diff__assoc2,axiom,
% 26.12/26.22 ! [I_2,K_1,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1))
% 26.12/26.22 => plus_plus_nat(minus_minus_nat(J_1,K_1),I_2) = minus_minus_nat(plus_plus_nat(J_1,I_2),K_1) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_945_diff__add__assoc2,axiom,
% 26.12/26.22 ! [I_2,K_1,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1))
% 26.12/26.22 => minus_minus_nat(plus_plus_nat(J_1,I_2),K_1) = plus_plus_nat(minus_minus_nat(J_1,K_1),I_2) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_946_Nat__Transfer_Otransfer__int__nat__relations_I3_J,axiom,
% 26.12/26.22 ! [Xa,Ya] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Xa),Ya)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_947_zle__int,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_948_is__mult__sum2sq,axiom,
% 26.12/26.22 ! [Y,X] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,Y))
% 26.12/26.22 => hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,times_times_int(X,Y))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_949_zle__diff1__eq,axiom,
% 26.12/26.22 ! [Wa,Z_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),minus_minus_int(Z_1,one_one_int)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_950_le__nat__number__of,axiom,
% 26.12/26.22 ! [Va,V_3] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(Va)),number_number_of_nat(V_3)))
% 26.12/26.22 <=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),V_3))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Va),pls)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_951_transfer__nat__int__relations_I3_J,axiom,
% 26.12/26.22 ! [Ya,Xa] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Ya))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,nat(Xa)),nat(Ya)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Xa),Ya)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_952_nat__diff__distrib,axiom,
% 26.12/26.22 ! [Z,Z_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),Z))
% 26.12/26.22 => nat(minus_minus_int(Z,Z_2)) = minus_minus_nat(nat(Z),nat(Z_2)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_953_nat__mult__distrib,axiom,
% 26.12/26.22 ! [Z_2,Z] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z))
% 26.12/26.22 => nat(times_times_int(Z,Z_2)) = times_times_nat(nat(Z),nat(Z_2)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_954_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 26.12/26.22 ! [Y,X] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y))
% 26.12/26.22 => times_times_nat(nat(X),nat(Y)) = nat(times_times_int(X,Y)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_955_mult__eq__if,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( ( M = zero_zero_nat
% 26.12/26.22 => times_times_nat(M,N) = zero_zero_nat )
% 26.12/26.22 & ( M != zero_zero_nat
% 26.12/26.22 => times_times_nat(M,N) = plus_plus_nat(N,times_times_nat(minus_minus_nat(M,one_one_nat),N)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_956_nat__le__eq__zle,axiom,
% 26.12/26.22 ! [Z_1,Wa] :
% 26.12/26.22 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Wa))
% 26.12/26.22 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_1)) )
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,nat(Wa)),nat(Z_1)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),Z_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_957_power__eq__if,axiom,
% 26.12/26.22 ! [P_2,M] :
% 26.12/26.22 ( ( M = zero_zero_nat
% 26.12/26.22 => hAPP_nat_nat(power_power_nat(P_2),M) = one_one_nat )
% 26.12/26.22 & ( M != zero_zero_nat
% 26.12/26.22 => hAPP_nat_nat(power_power_nat(P_2),M) = times_times_nat(P_2,hAPP_nat_nat(power_power_nat(P_2),minus_minus_nat(M,one_one_nat))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_958_nat__mult__2,axiom,
% 26.12/26.22 ! [Z] : times_times_nat(number_number_of_nat(bit0(bit1(pls))),Z) = plus_plus_nat(Z,Z) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_959_nat__mult__2__right,axiom,
% 26.12/26.22 ! [Z] : times_times_nat(Z,number_number_of_nat(bit0(bit1(pls)))) = plus_plus_nat(Z,Z) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_960_nat__number__of__mult__left,axiom,
% 26.12/26.22 ! [V_2,K_1,V_1] :
% 26.12/26.22 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.22 => times_times_nat(number_number_of_nat(V_1),times_times_nat(number_number_of_nat(V_2),K_1)) = zero_zero_nat )
% 26.12/26.22 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.22 => times_times_nat(number_number_of_nat(V_1),times_times_nat(number_number_of_nat(V_2),K_1)) = times_times_nat(number_number_of_nat(times_times_int(V_1,V_2)),K_1) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_961_mult__nat__number__of,axiom,
% 26.12/26.22 ! [V_2,V_1] :
% 26.12/26.22 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.22 => times_times_nat(number_number_of_nat(V_1),number_number_of_nat(V_2)) = zero_zero_nat )
% 26.12/26.22 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))
% 26.12/26.22 => times_times_nat(number_number_of_nat(V_1),number_number_of_nat(V_2)) = number_number_of_nat(times_times_int(V_1,V_2)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_962_four__x__squared,axiom,
% 26.12/26.22 ! [X] : times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_real(power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X)),number_number_of_nat(bit0(bit1(pls)))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_963_two__realpow__ge__one,axiom,
% 26.12/26.22 ! [N] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_964_Euler_Oaux2,axiom,
% 26.12/26.22 ! [B_1,A,C] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),C))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B_1))
% 26.12/26.22 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_1),A)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_965_zspecial__product,axiom,
% 26.12/26.22 ! [A,B_1] : times_times_int(plus_plus_int(A,B_1),minus_minus_int(A,B_1)) = minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_966_diff__square,axiom,
% 26.12/26.22 ! [X,Y] : minus_minus_nat(hAPP_nat_nat(power_power_nat(X),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_nat(power_power_nat(Y),number_number_of_nat(bit0(bit1(pls))))) = times_times_nat(plus_plus_nat(X,Y),minus_minus_nat(X,Y)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_967_zdiff__power3,axiom,
% 26.12/26.22 ! [A,B_1] : hAPP_nat_int(power_power_int(minus_minus_int(A,B_1)),number_number_of_nat(bit1(bit1(pls)))) = minus_minus_int(plus_plus_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),B_1)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit1(bit1(pls))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_968_zdiff__power2,axiom,
% 26.12/26.22 ! [A,B_1] : hAPP_nat_int(power_power_int(minus_minus_int(A,B_1)),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B_1)),hAPP_nat_int(power_power_int(B_1),number_number_of_nat(bit0(bit1(pls))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_969_zdiv__mono2__neg__lemma,axiom,
% 26.12/26.22 ! [B_1,Q,R_1,B_2,Q_1,R_2] :
% 26.12/26.22 ( plus_plus_int(times_times_int(B_1,Q),R_1) = plus_plus_int(times_times_int(B_2,Q_1),R_2)
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(times_times_int(B_2,Q_1),R_2)),zero_zero_int))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_2),B_1))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q)) ) ) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_970_unique__quotient__lemma__neg,axiom,
% 26.12/26.22 ! [B_1,Q_1,R_2,Q,R_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(times_times_int(B_1,Q_1),R_2)),plus_plus_int(times_times_int(B_1,Q),R_1)))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,R_1),zero_zero_int))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_1))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),R_2))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q),Q_1)) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_971_zdiv__mono2__lemma,axiom,
% 26.12/26.22 ! [B_1,Q,R_1,B_2,Q_1,R_2] :
% 26.12/26.22 ( plus_plus_int(times_times_int(B_1,Q),R_1) = plus_plus_int(times_times_int(B_2,Q_1),R_2)
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),plus_plus_int(times_times_int(B_2,Q_1),R_2)))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_2),B_1))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q),Q_1)) ) ) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_972_unique__quotient__lemma,axiom,
% 26.12/26.22 ! [B_1,Q_1,R_2,Q,R_1] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(times_times_int(B_1,Q_1),R_2)),plus_plus_int(times_times_int(B_1,Q),R_1)))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_1))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B_1))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q)) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_973_xy,axiom,
% 26.12/26.22 plus_plus_int(hAPP_nat_int(power_power_int(x),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(y),number_number_of_nat(bit0(bit1(pls))))) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_974_Int2_Oaux__1,axiom,
% 26.12/26.22 ! [P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))
% 26.12/26.22 => minus_minus_nat(nat(P_2),number_number_of_nat(bit0(bit1(pls)))) = nat(minus_minus_int(P_2,number_number_of_int(bit0(bit1(pls))))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_975_Int2_Oaux__2,axiom,
% 26.12/26.22 ! [P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),nat(minus_minus_int(P_2,number_number_of_int(bit0(bit1(pls))))))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_976__096_B_Bthesis_O_A_I_B_Bt_O_As_____A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_,axiom,
% 26.12/26.22 ~ ! [T] :
% 26.12/26.22 ( is_int(T)
% 26.12/26.22 => plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int) != times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),T) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_977_real__le__refl,axiom,
% 26.12/26.22 ! [W] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),W)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_978_real__mult__commute,axiom,
% 26.12/26.22 ! [Z,W] : times_times_real(Z,W) = times_times_real(W,Z) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_979_real__le__linear,axiom,
% 26.12/26.22 ! [Z,W] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z),W))
% 26.12/26.22 | hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),Z)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_980_real__mult__assoc,axiom,
% 26.12/26.22 ! [Z1,Z2,Z3] : times_times_real(times_times_real(Z1,Z2),Z3) = times_times_real(Z1,times_times_real(Z2,Z3)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_981_real__le__trans,axiom,
% 26.12/26.22 ! [K_1,I_2,J_1] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,I_2),J_1))
% 26.12/26.22 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,J_1),K_1))
% 26.12/26.22 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,I_2),K_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_982_real__le__antisym,axiom,
% 26.12/26.22 ! [Z,W] :
% 26.12/26.22 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z),W))
% 26.12/26.22 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),Z))
% 26.12/26.22 => Z = W ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_983_zprime__2,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(zprime,number_number_of_int(bit0(bit1(pls))))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_984_Int2_Oaux1,axiom,
% 26.12/26.22 ! [A,B_1,C] :
% 26.12/26.22 ( is_int(A)
% 26.12/26.22 => ( minus_minus_int(A,B_1) = C
% 26.12/26.22 => A = plus_plus_int(C,B_1) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_985__0964_A_K_Am_A_L_A1_Advd_As_____A_094_A2_A_L_A1_096,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_986_real__sum__squared__expand,axiom,
% 26.12/26.22 ! [X,Y] : hAPP_nat_real(power_power_real(plus_plus_real(X,Y)),number_number_of_nat(bit0(bit1(pls)))) = plus_plus_real(plus_plus_real(hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(Y),number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X),Y)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_987__096s_____A_094_A2_A_N_A_N1_A_061_As_____A_094_A2_A_L_A1_096,axiom,
% 26.12/26.22 minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)) = plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),one_one_int) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_988__0964_A_K_Am_A_L_A1_Advd_As_____A_094_A2_A_N_A_N1_096,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_989__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096,axiom,
% 26.12/26.22 legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) = one_one_int ).
% 26.12/26.22
% 26.12/26.22 fof(fact_990_zdvd__zdiffD,axiom,
% 26.12/26.22 ! [K_1,M,N] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),minus_minus_int(M,N)))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_991_zprime__zdvd__zmult__better,axiom,
% 26.12/26.22 ! [M,N,P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),times_times_int(M,N)))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),M))
% 26.12/26.22 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),N)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_992_rel__simps_I24_J,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),min)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_993_zdvd__bounds,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,M),zero_zero_int))
% 26.12/26.22 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,N),M)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_994_zprime__zdvd__power,axiom,
% 26.12/26.22 ! [A,N,P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(A),N)))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),A)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_995_zdvd__not__zless,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),N))
% 26.12/26.22 => ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_996_zdvd__mult__cancel,axiom,
% 26.12/26.22 ! [K_1,M,N] :
% 26.12/26.22 ( is_int(K_1)
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(K_1,M)),times_times_int(K_1,N)))
% 26.12/26.22 => ( K_1 != zero_zero_int
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_997_zdvd__antisym__nonneg,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( ( is_int(N)
% 26.12/26.22 & is_int(M) )
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),M))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),N))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))
% 26.12/26.22 => M = N ) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_998_zdvd__reduce,axiom,
% 26.12/26.22 ! [K,Na,Ma] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),plus_plus_int(Na,times_times_int(K,Ma))))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Na)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_999_zdvd__period,axiom,
% 26.12/26.22 ! [C_1,Xa,Ta,A_1,D] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),D))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(Xa,Ta)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),plus_plus_int(plus_plus_int(Xa,times_times_int(C_1,D)),Ta))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1000_rel__simps_I9_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(K)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1001_rel__simps_I13_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),min))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),min)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1002_rel__simps_I6_J,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1003_rel__simps_I3_J,axiom,
% 26.12/26.22 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1004_rel__simps_I8_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(K)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1005_rel__simps_I26_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit1(K)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),K)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1006_rel__simps_I30_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),min))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),min)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1007_bin__less__0__simps_I2_J,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1008_rel__simps_I23_J,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),pls)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1009_rel__simps_I20_J,axiom,
% 26.12/26.22 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1010_rel__simps_I28_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),min))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),min)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1011_eq__number__of__Pls__Min,axiom,
% 26.12/26.22 number_number_of_int(pls) != number_number_of_int(min) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1012_rel__simps_I7_J,axiom,
% 26.12/26.22 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1013_rel__simps_I42_J,axiom,
% 26.12/26.22 ! [L] : min != bit0(L) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1014_rel__simps_I45_J,axiom,
% 26.12/26.22 ! [K_1] : bit0(K_1) != min ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1015_rel__simps_I40_J,axiom,
% 26.12/26.22 min != pls ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1016_rel__simps_I37_J,axiom,
% 26.12/26.22 pls != min ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1017_Bit1__Min,axiom,
% 26.12/26.22 bit1(min) = min ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1018_rel__simps_I43_J,axiom,
% 26.12/26.22 ! [L_1] :
% 26.12/26.22 ( is_int(L_1)
% 26.12/26.22 => ( min = bit1(L_1)
% 26.12/26.22 <=> min = L_1 ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1019_rel__simps_I47_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( is_int(K)
% 26.12/26.22 => ( bit1(K) = min
% 26.12/26.22 <=> K = min ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1020_succ__Min,axiom,
% 26.12/26.22 succ(min) = pls ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1021_diff__bin__simps_I2_J,axiom,
% 26.12/26.22 ! [K_1] : minus_minus_int(K_1,min) = succ(K_1) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1022_zdvd__imp__le,axiom,
% 26.12/26.22 ! [Z,N] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z),N))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),N)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1023_zpower__zdvd__prop1,axiom,
% 26.12/26.22 ! [P_2,Y,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(Y),N))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1024_rel__simps_I25_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit0(K)))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1025_rel__simps_I11_J,axiom,
% 26.12/26.22 ! [K] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),min))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),min)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1026_diff__bin__simps_I4_J,axiom,
% 26.12/26.22 ! [L] : minus_minus_int(pls,bit1(L)) = bit1(minus_minus_int(min,L)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1027_diff__bin__simps_I6_J,axiom,
% 26.12/26.22 ! [L] : minus_minus_int(min,bit1(L)) = bit0(minus_minus_int(min,L)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1028_diff__bin__simps_I5_J,axiom,
% 26.12/26.22 ! [L] : minus_minus_int(min,bit0(L)) = bit1(minus_minus_int(min,L)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1029_zmult__eq__1__iff,axiom,
% 26.12/26.22 ! [Ma,Na] :
% 26.12/26.22 ( ( is_int(Ma)
% 26.12/26.22 & is_int(Na) )
% 26.12/26.22 => ( times_times_int(Ma,Na) = one_one_int
% 26.12/26.22 <=> ( ( Ma = one_one_int
% 26.12/26.22 & Na = one_one_int )
% 26.12/26.22 | ( Ma = number_number_of_int(min)
% 26.12/26.22 & Na = number_number_of_int(min) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1030_pos__zmult__eq__1__iff__lemma,axiom,
% 26.12/26.22 ! [M,N] :
% 26.12/26.22 ( is_int(M)
% 26.12/26.22 => ( times_times_int(M,N) = one_one_int
% 26.12/26.22 => ( M = one_one_int
% 26.12/26.22 | M = number_number_of_int(min) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1031_zprime__power__zdvd__cancel__right,axiom,
% 26.12/26.22 ! [N,A,B_1,P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.22 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),B_1))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),times_times_int(A,B_1)))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),A)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1032_zprime__power__zdvd__cancel__left,axiom,
% 26.12/26.22 ! [N,B_1,A,P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.22 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),A))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),times_times_int(A,B_1)))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_2),N)),B_1)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1033_zpower__zdvd__prop2,axiom,
% 26.12/26.22 ! [Y,N,P_2] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),hAPP_nat_int(power_power_int(Y),N)))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 26.12/26.22 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1034__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),number_number_of_int(min))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1035_s,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1036__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_,axiom,
% 26.12/26.22 ( ~ hBOOL(hAPP_int_bool(quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)),number_number_of_int(min)))
% 26.12/26.22 => legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)) != one_one_int ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1037_s1,axiom,
% 26.12/26.22 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1038_s0p,axiom,
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),s))
% 26.12/26.22 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
% 26.12/26.22 & hBOOL(hAPP_int_bool(zcong(s1,s),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1039__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4,axiom,
% 26.12/26.22 ~ ! [S1] :
% 26.12/26.22 ( is_int(S1)
% 26.12/26.22 => ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(S1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1040_divides__mul__r,axiom,
% 26.12/26.22 ! [C,A,B_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,C)),times_times_nat(B_1,C))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1041_divides__mul__l,axiom,
% 26.12/26.22 ! [C,A,B_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(C,A)),times_times_nat(C,B_1))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1042_dvd__diff__nat,axiom,
% 26.12/26.22 ! [N,K_1,M] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N))) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1043_zcong__eq__zdvd__prop,axiom,
% 26.12/26.22 ! [Xa,P_3] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zcong(Xa,zero_zero_int),P_3))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Xa)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1044_zcong__zero__equiv__div,axiom,
% 26.12/26.22 ! [A_1,Ma] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zcong(A_1,zero_zero_int),Ma))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),A_1)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1045_nat__dvd__not__less,axiom,
% 26.12/26.22 ! [N,M] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))
% 26.12/26.22 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1046_divides__ge,axiom,
% 26.12/26.22 ! [A,B_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.22 => ( B_1 = zero_zero_nat
% 26.12/26.22 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1047_nat__mult__dvd__cancel__disj_H,axiom,
% 26.12/26.22 ! [Ma,K,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,K)),times_times_nat(Na,K)))
% 26.12/26.22 <=> ( K = zero_zero_nat
% 26.12/26.22 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1048_dvd__diffD,axiom,
% 26.12/26.22 ! [K_1,M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N)))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1049_dvd__diffD1,axiom,
% 26.12/26.22 ! [K_1,M,N] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),minus_minus_nat(M,N)))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),M))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1050_divides__rev,axiom,
% 26.12/26.22 ! [A,N,B_1] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),N)),hAPP_nat_nat(power_power_nat(B_1),N)))
% 26.12/26.22 => ( N != zero_zero_nat
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1051_divides__exp2,axiom,
% 26.12/26.22 ! [X,Y,N] :
% 26.12/26.22 ( N != zero_zero_nat
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X),N)),Y))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1052_Nat__Transfer_Otransfer__int__nat__relations_I4_J,axiom,
% 26.12/26.22 ! [Xa,Ya] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1053_zdvd__int,axiom,
% 26.12/26.22 ! [Xa,Ya] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.22 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1054_divides__exp,axiom,
% 26.12/26.22 ! [N,X,Y] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X),N)),hAPP_nat_nat(power_power_nat(Y),N))) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1055_nat__dvd__1__iff__1,axiom,
% 26.12/26.22 ! [Ma] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),one_one_nat))
% 26.12/26.22 <=> Ma = one_one_nat ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1056_dvd__reduce,axiom,
% 26.12/26.22 ! [K,Na] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),plus_plus_nat(Na,K)))
% 26.12/26.22 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Na)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1057_divides__add__revr,axiom,
% 26.12/26.22 ! [B_1,D_1,A] :
% 26.12/26.22 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),A))
% 26.12/26.22 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),plus_plus_nat(A,B_1)))
% 26.12/26.22 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),B_1)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1058_zcong__id,axiom,
% 26.12/26.22 ! [M] : hBOOL(hAPP_int_bool(zcong(M,zero_zero_int),M)) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1059_zcong__shift,axiom,
% 26.12/26.22 ! [C,A,B_1,M] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.22 => hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,C),plus_plus_int(B_1,C)),M)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1060_zcong__eq__trans,axiom,
% 26.12/26.22 ! [D_1,C,A,B_1,M] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.22 => ( B_1 = C
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(zcong(C,D_1),M))
% 26.12/26.22 => hBOOL(hAPP_int_bool(zcong(A,D_1),M)) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1061_zcong__zpower,axiom,
% 26.12/26.22 ! [Z,X,Y,M] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(zcong(X,Y),M))
% 26.12/26.22 => hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),Z),hAPP_nat_int(power_power_int(Y),Z)),M)) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1062_zcong__less__eq,axiom,
% 26.12/26.22 ! [M,Y,X] :
% 26.12/26.22 ( ( is_int(Y)
% 26.12/26.22 & is_int(X) )
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(zcong(X,Y),M))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),M))
% 26.12/26.22 => X = Y ) ) ) ) ) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1063_zcong__not__zero,axiom,
% 26.12/26.22 ! [M,X] :
% 26.12/26.22 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))
% 26.12/26.22 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))
% 26.12/26.22 => ~ hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),M)) ) ) ).
% 26.12/26.22
% 26.12/26.22 fof(fact_1064_zcong__zmult__prop1,axiom,
% 26.12/26.22 ! [C_1,D,A_1,B,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(A_1,D)),Ma))
% 26.12/26.23 <=> hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(B,D)),Ma)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1065_zcong__zmult__prop2,axiom,
% 26.12/26.23 ! [C_1,D,A_1,B,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,A_1)),Ma))
% 26.12/26.23 <=> hBOOL(hAPP_int_bool(zcong(C_1,times_times_int(D,B)),Ma)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1066_Int2_Ozcong__zero,axiom,
% 26.12/26.23 ! [M,X] :
% 26.12/26.23 ( is_int(X)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),M))
% 26.12/26.23 => X = zero_zero_int ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1067_zcong__zmult__prop3,axiom,
% 26.12/26.23 ! [Y,X,P_2] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( ~ hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),P_2))
% 26.12/26.23 => ( ~ hBOOL(hAPP_int_bool(zcong(Y,zero_zero_int),P_2))
% 26.12/26.23 => ~ hBOOL(hAPP_int_bool(zcong(times_times_int(X,Y),zero_zero_int),P_2)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1068_dvd__imp__le,axiom,
% 26.12/26.23 ! [K_1,N] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1069_dvd__mult__cancel,axiom,
% 26.12/26.23 ! [K_1,M,N] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K_1,M)),times_times_nat(K_1,N)))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1070_zcong__zprime__prod__zero,axiom,
% 26.12/26.23 ! [B_1,A,P_2] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(times_times_int(A,B_1),zero_zero_int),P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))
% 26.12/26.23 | hBOOL(hAPP_int_bool(zcong(B_1,zero_zero_int),P_2)) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1071_zcong__zprime__prod__zero__contra,axiom,
% 26.12/26.23 ! [B_1,A,P_2] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.23 => ( ( ~ hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))
% 26.12/26.23 & ~ hBOOL(hAPP_int_bool(zcong(B_1,zero_zero_int),P_2)) )
% 26.12/26.23 => ~ hBOOL(hAPP_int_bool(zcong(times_times_int(A,B_1),zero_zero_int),P_2)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1072_divides__div__not,axiom,
% 26.12/26.23 ! [X,Q,N,R_1] :
% 26.12/26.23 ( X = plus_plus_nat(times_times_nat(Q,N),R_1)
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_1))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_1),N))
% 26.12/26.23 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),X)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1073_dvd__mult__cancel1,axiom,
% 26.12/26.23 ! [Na,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Ma,Na)),Ma))
% 26.12/26.23 <=> Na = one_one_nat ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1074_dvd__mult__cancel2,axiom,
% 26.12/26.23 ! [Na,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(Na,Ma)),Ma))
% 26.12/26.23 <=> Na = one_one_nat ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1075_transfer__nat__int__relations_I4_J,axiom,
% 26.12/26.23 ! [Ya,Xa] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Ya))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Xa)),nat(Ya)))
% 26.12/26.23 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),Ya)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1076_power__dvd__imp__le,axiom,
% 26.12/26.23 ! [I_2,M,N] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(I_2),M)),hAPP_nat_nat(power_power_nat(I_2),N)))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),I_2))
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1077_nat__dvd__iff,axiom,
% 26.12/26.23 ! [Z_1,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(Z_1)),Ma))
% 26.12/26.23 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_1))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma))) )
% 26.12/26.23 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z_1))
% 26.12/26.23 => Ma = zero_zero_nat ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1078_zcong__neg__1__impl__ne__1,axiom,
% 26.12/26.23 ! [X,P_2] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(X,number_number_of_int(min)),P_2))
% 26.12/26.23 => ~ hBOOL(hAPP_int_bool(zcong(X,one_one_int),P_2)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1079_Euler_Oaux____1,axiom,
% 26.12/26.23 ! [Y,X,P_2] :
% 26.12/26.23 ( ~ hBOOL(hAPP_int_bool(zcong(X,zero_zero_int),P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls)))),X),P_2))
% 26.12/26.23 => ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),Y)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1080_divides__cases,axiom,
% 26.12/26.23 ! [N,M] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))
% 26.12/26.23 => ( M = zero_zero_nat
% 26.12/26.23 | M = N
% 26.12/26.23 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N)),M)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1081_Legendre__1mod4,axiom,
% 26.12/26.23 ! [M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zprime,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int)))
% 26.12/26.23 => legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int)) = one_one_int ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1082__096_091s_____A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_,axiom,
% 26.12/26.23 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls))))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1083__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s,axiom,
% 26.12/26.23 ? [X_1] :
% 26.12/26.23 ( is_int(X_1)
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1))
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
% 26.12/26.23 & hBOOL(hAPP_int_bool(zcong(s1,X_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
% 26.12/26.23 & ! [Y_1] :
% 26.12/26.23 ( is_int(Y_1)
% 26.12/26.23 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_1))
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
% 26.12/26.23 & hBOOL(hAPP_int_bool(zcong(s1,Y_1),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) )
% 26.12/26.23 => Y_1 = X_1 ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1084_dvd_Oorder__refl,axiom,
% 26.12/26.23 ! [X] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1085__096_B_Bthesis_O_A_I_B_Bs_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L,axiom,
% 26.12/26.23 ~ ! [S] :
% 26.12/26.23 ( is_int(S)
% 26.12/26.23 => ~ ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),S))
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,S),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))
% 26.12/26.23 & hBOOL(hAPP_int_bool(zcong(s1,S),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1086_dvd_Oless__asym,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1087_dvd_Oless__trans,axiom,
% 26.12/26.23 ! [Z,X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y)) )
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1088_dvd_Oless__asym_H,axiom,
% 26.12/26.23 ! [A,B_1] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)) )
% 26.12/26.23 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1089_dvd_Oless__le__trans,axiom,
% 26.12/26.23 ! [Z,X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1090_dvd_Oord__less__eq__trans,axiom,
% 26.12/26.23 ! [C,A,B_1] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)) )
% 26.12/26.23 => ( B_1 = C
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1091_dvd_Oless__imp__triv,axiom,
% 26.12/26.23 ! [P_1,Xa,Ya] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)) )
% 26.12/26.23 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya)) )
% 26.12/26.23 => hBOOL(P_1) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1092_dvd_Oless__imp__not__eq2,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => Y != X ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1093_dvd_Oless__imp__not__eq,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => X != Y ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1094_dvd_Oless__imp__not__less,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1095_dvd_Oless__imp__le,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1096_dvd_Oless__not__sym,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1097_dvd_Oless__imp__neq,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 => X != Y ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1098_dvd_Ole__less__trans,axiom,
% 26.12/26.23 ! [Z,X,Y] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y)) )
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1099_dvd_Oord__eq__less__trans,axiom,
% 26.12/26.23 ! [C,A,B_1] :
% 26.12/26.23 ( A = B_1
% 26.12/26.23 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B_1)) )
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1100_dvd_Oorder__trans,axiom,
% 26.12/26.23 ! [Z,X,Y] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z))
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1101_dvd_Oantisym,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))
% 26.12/26.23 => X = Y ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1102_dvd__antisym,axiom,
% 26.12/26.23 ! [M,N] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))
% 26.12/26.23 => M = N ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1103_dvd_Oord__le__eq__trans,axiom,
% 26.12/26.23 ! [C,A,B_1] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.23 => ( B_1 = C
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1104_dvd_Oord__eq__le__trans,axiom,
% 26.12/26.23 ! [C,A,B_1] :
% 26.12/26.23 ( A = B_1
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),C))
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1105_dvd_Ole__neq__trans,axiom,
% 26.12/26.23 ! [A,B_1] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.23 => ( A != B_1
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1106_dvd_Ole__imp__less__or__eq,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X)) )
% 26.12/26.23 | X = Y ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1107_dvd_Oantisym__conv,axiom,
% 26.12/26.23 ! [Ya,Xa] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 <=> Xa = Ya ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1108_dvd_Oeq__refl,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( X = Y
% 26.12/26.23 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1109_dvd_Oneq__le__trans,axiom,
% 26.12/26.23 ! [A,B_1] :
% 26.12/26.23 ( A != B_1
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B_1))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_1),A)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1110_dvd_Oless__le__not__le,axiom,
% 26.12/26.23 ! [Xa,Ya] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)) )
% 26.12/26.23 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1111_dvd_Oless__le,axiom,
% 26.12/26.23 ! [Xa,Ya] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)) )
% 26.12/26.23 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & Xa != Ya ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1112_dvd_Ole__less,axiom,
% 26.12/26.23 ! [Xa,Ya] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)) )
% 26.12/26.23 | Xa = Ya ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1113_dvd_Oeq__iff,axiom,
% 26.12/26.23 ! [Xa,Ya] :
% 26.12/26.23 ( Xa = Ya
% 26.12/26.23 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1114_dvd_Oless__irrefl,axiom,
% 26.12/26.23 ! [X] :
% 26.12/26.23 ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X))
% 26.12/26.23 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1115_divides__antisym,axiom,
% 26.12/26.23 ! [Xa,Ya] :
% 26.12/26.23 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))
% 26.12/26.23 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa)) )
% 26.12/26.23 <=> Xa = Ya ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1116_neg__one__power__eq__mod__m,axiom,
% 26.12/26.23 ! [J_1,K_1,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(number_number_of_int(min)),J_1),hAPP_nat_int(power_power_int(number_number_of_int(min)),K_1)),M))
% 26.12/26.23 => hAPP_nat_int(power_power_int(number_number_of_int(min)),J_1) = hAPP_nat_int(power_power_int(number_number_of_int(min)),K_1) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1117_one__not__neg__one__mod__m,axiom,
% 26.12/26.23 ! [M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M))
% 26.12/26.23 => ~ hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),M)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1118_neg__one__power,axiom,
% 26.12/26.23 ! [N] :
% 26.12/26.23 ( hAPP_nat_int(power_power_int(number_number_of_int(min)),N) = one_one_int
% 26.12/26.23 | hAPP_nat_int(power_power_int(number_number_of_int(min)),N) = number_number_of_int(min) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1119_Legendre__def,axiom,
% 26.12/26.23 ! [A,P_2] :
% 26.12/26.23 ( ( hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))
% 26.12/26.23 => legendre(A,P_2) = zero_zero_int )
% 26.12/26.23 & ( ~ hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_2))
% 26.12/26.23 => ( ( hBOOL(hAPP_int_bool(quadRes(P_2),A))
% 26.12/26.23 => legendre(A,P_2) = one_one_int )
% 26.12/26.23 & ( ~ hBOOL(hAPP_int_bool(quadRes(P_2),A))
% 26.12/26.23 => legendre(A,P_2) = number_number_of_int(min) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1120_QuadRes__def,axiom,
% 26.12/26.23 ! [Ma,Xa] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(quadRes(Ma),Xa))
% 26.12/26.23 <=> ? [Y_1] :
% 26.12/26.23 ( is_int(Y_1)
% 26.12/26.23 & hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls)))),Xa),Ma)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1121_Little__Fermat,axiom,
% 26.12/26.23 ! [X,P_2] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),X))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),nat(minus_minus_int(P_2,one_one_int))),one_one_int),P_2)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1122_zcong__square__zless,axiom,
% 26.12/26.23 ! [A,P_2] :
% 26.12/26.23 ( is_int(A)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(times_times_int(A,A),one_one_int),P_2))
% 26.12/26.23 => ( A = one_one_int
% 26.12/26.23 | A = minus_minus_int(P_2,one_one_int) ) ) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1123_zcong__trans,axiom,
% 26.12/26.23 ! [C,A,B_1,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(B_1,C),M))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(A,C),M)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1124_zcong__refl,axiom,
% 26.12/26.23 ! [K_1,M] : hBOOL(hAPP_int_bool(zcong(K_1,K_1),M)) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1125_zcong__sym,axiom,
% 26.12/26.23 ! [A_1,B,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))
% 26.12/26.23 <=> hBOOL(hAPP_int_bool(zcong(B,A_1),Ma)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1126_IntPrimes_Ozcong__zero,axiom,
% 26.12/26.23 ! [A_1,B] :
% 26.12/26.23 ( ( is_int(A_1)
% 26.12/26.23 & is_int(B) )
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(A_1,B),zero_zero_int))
% 26.12/26.23 <=> A_1 = B ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1127_zcong__1,axiom,
% 26.12/26.23 ! [A,B_1] : hBOOL(hAPP_int_bool(zcong(A,B_1),one_one_int)) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1128_zcong__zmult__self,axiom,
% 26.12/26.23 ! [A,M,B_1] : hBOOL(hAPP_int_bool(zcong(times_times_int(A,M),times_times_int(B_1,M)),M)) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1129_zcong__scalar,axiom,
% 26.12/26.23 ! [K_1,A,B_1,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(times_times_int(A,K_1),times_times_int(B_1,K_1)),M)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1130_zcong__scalar2,axiom,
% 26.12/26.23 ! [K_1,A,B_1,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(times_times_int(K_1,A),times_times_int(K_1,B_1)),M)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1131_zcong__zmult,axiom,
% 26.12/26.23 ! [C,D_1,A,B_1,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(C,D_1),M))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(times_times_int(A,C),times_times_int(B_1,D_1)),M)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1132_zcong__zadd,axiom,
% 26.12/26.23 ! [C,D_1,A,B_1,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(C,D_1),M))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(plus_plus_int(A,C),plus_plus_int(B_1,D_1)),M)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1133_zcong__zdiff,axiom,
% 26.12/26.23 ! [C,D_1,A,B_1,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(C,D_1),M))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(minus_minus_int(A,C),minus_minus_int(B_1,D_1)),M)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1134_zcong__not,axiom,
% 26.12/26.23 ! [B_1,M,A] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A))
% 26.12/26.23 => ~ hBOOL(hAPP_int_bool(zcong(A,B_1),M)) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1135_xzgcda__linear__aux1,axiom,
% 26.12/26.23 ! [A,R_1,B_1,M,C,D_1,N] : plus_plus_int(times_times_int(minus_minus_int(A,times_times_int(R_1,B_1)),M),times_times_int(minus_minus_int(C,times_times_int(R_1,D_1)),N)) = minus_minus_int(plus_plus_int(times_times_int(A,M),times_times_int(C,N)),times_times_int(R_1,plus_plus_int(times_times_int(B_1,M),times_times_int(D_1,N)))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1136_zcong__iff__lin,axiom,
% 26.12/26.23 ! [A_1,B,Ma] :
% 26.12/26.23 ( is_int(B)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))
% 26.12/26.23 <=> ? [K_2] :
% 26.12/26.23 ( is_int(K_2)
% 26.12/26.23 & B = plus_plus_int(A_1,times_times_int(Ma,K_2)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1137_zcong__def,axiom,
% 26.12/26.23 ! [A_1,B,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(A_1,B),Ma))
% 26.12/26.23 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),minus_minus_int(A_1,B))) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1138_norR__mem__unique__aux,axiom,
% 26.12/26.23 ! [A,B_1] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),minus_minus_int(B_1,one_one_int)))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B_1)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1139_zcong__zless__0,axiom,
% 26.12/26.23 ! [M,A] :
% 26.12/26.23 ( is_int(A)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),M))
% 26.12/26.23 => A = zero_zero_int ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1140_zcong__zless__imp__eq,axiom,
% 26.12/26.23 ! [B_1,M,A] :
% 26.12/26.23 ( ( is_int(B_1)
% 26.12/26.23 & is_int(A) )
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_1))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(A,B_1),M))
% 26.12/26.23 => A = B_1 ) ) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1141_zprime__zdvd__zmult,axiom,
% 26.12/26.23 ! [N,P_2,M] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),M))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),times_times_int(M,N)))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),M))
% 26.12/26.23 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_2),N)) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1142_zprime__def,axiom,
% 26.12/26.23 ! [P_3] :
% 26.12/26.23 ( is_int(P_3)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zprime,P_3))
% 26.12/26.23 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3))
% 26.12/26.23 & ! [M_1] :
% 26.12/26.23 ( is_int(M_1)
% 26.12/26.23 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),M_1))
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),P_3)) )
% 26.12/26.23 => ( M_1 = one_one_int
% 26.12/26.23 | M_1 = P_3 ) ) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1143_zcong__square,axiom,
% 26.12/26.23 ! [A,P_2] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(times_times_int(A,A),one_one_int),P_2))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zcong(A,one_one_int),P_2))
% 26.12/26.23 | hBOOL(hAPP_int_bool(zcong(A,minus_minus_int(P_2,one_one_int)),P_2)) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1144_zdiff__int__split,axiom,
% 26.12/26.23 ! [P_1,Xa,Ya] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,minus_minus_nat(Xa,Ya))))
% 26.12/26.23 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ya),Xa))
% 26.12/26.23 => hBOOL(hAPP_int_bool(P_1,minus_minus_int(hAPP_nat_int(semiri1621563631at_int,Xa),hAPP_nat_int(semiri1621563631at_int,Ya)))) )
% 26.12/26.23 & ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))
% 26.12/26.23 => hBOOL(hAPP_int_bool(P_1,zero_zero_int)) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1145_prime__g__5,axiom,
% 26.12/26.23 ! [P_2] :
% 26.12/26.23 ( is_int(P_2)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(zprime,P_2))
% 26.12/26.23 => ( P_2 != number_number_of_int(bit0(bit1(pls)))
% 26.12/26.23 => ( P_2 != number_number_of_int(bit1(bit1(pls)))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),P_2)) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1146_conj__le__cong,axiom,
% 26.12/26.23 ! [P_4,P_1,Xa] :
% 26.12/26.23 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.23 => ( hBOOL(P_1)
% 26.12/26.23 <=> hBOOL(P_4) ) )
% 26.12/26.23 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.23 & hBOOL(P_1) )
% 26.12/26.23 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.23 & hBOOL(P_4) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1147_imp__le__cong,axiom,
% 26.12/26.23 ! [P_4,P_1,Xa] :
% 26.12/26.23 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.23 => ( hBOOL(P_1)
% 26.12/26.23 <=> hBOOL(P_4) ) )
% 26.12/26.23 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.23 => hBOOL(P_1) )
% 26.12/26.23 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Xa))
% 26.12/26.23 => hBOOL(P_4) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1148_zdvd__mono,axiom,
% 26.12/26.23 ! [Ma,Ta,K] :
% 26.12/26.23 ( is_int(K)
% 26.12/26.23 => ( K != zero_zero_int
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),Ta))
% 26.12/26.23 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(K,Ma)),times_times_int(K,Ta))) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1149_number__of2,axiom,
% 26.12/26.23 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(pls))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1150_inv__not__p__minus__1__aux,axiom,
% 26.12/26.23 ! [A_1,P_3] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(times_times_int(A_1,minus_minus_int(P_3,one_one_int)),one_one_int),P_3))
% 26.12/26.23 <=> hBOOL(hAPP_int_bool(zcong(A_1,minus_minus_int(P_3,one_one_int)),P_3)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1151_zcong__zpower__zmult,axiom,
% 26.12/26.23 ! [Z,X,Y,P_2] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),Y),one_one_int),P_2))
% 26.12/26.23 => hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X),times_times_nat(Y,Z)),one_one_int),P_2)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1152_number__of1,axiom,
% 26.12/26.23 ! [N] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(N)))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(N))))
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(N)))) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1153__096_B_Bthesis_O_A_I_B_Bs_Aw_O_Aw_A_061_Ay_A_N_As_A_K_A_I1_A_L_Aint_An,axiom,
% 26.12/26.23 ~ ! [S,W_1] :
% 26.12/26.23 ( ( is_int(S)
% 26.12/26.23 & is_int(W_1) )
% 26.12/26.23 => ~ ( W_1 = minus_minus_int(y,times_times_int(S,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(W_1))),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1154__096_B_Bthesis_O_A_I_B_Br_Av_O_Av_A_061_Ax_A_N_Ar_A_K_A_I1_A_L_Aint_An,axiom,
% 26.12/26.23 ~ ! [R,V] :
% 26.12/26.23 ( ( is_int(R)
% 26.12/26.23 & is_int(V) )
% 26.12/26.23 => ~ ( V = minus_minus_int(x,times_times_int(R,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(V))),plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)))) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1155_dvd__imp__le__int,axiom,
% 26.12/26.23 ! [D_1,I_2] :
% 26.12/26.23 ( is_int(I_2)
% 26.12/26.23 => ( I_2 != zero_zero_int
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),I_2))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(D_1)),abs_abs_int(I_2))) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1156_nat__abs__mult__distrib,axiom,
% 26.12/26.23 ! [W,Z] : nat(abs_abs_int(times_times_int(W,Z))) = times_times_nat(nat(abs_abs_int(W)),nat(abs_abs_int(Z))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1157_zdvd__antisym__abs,axiom,
% 26.12/26.23 ! [A,B_1] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B_1))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_1),A))
% 26.12/26.23 => abs_abs_int(A) = abs_abs_int(B_1) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1158_zdvd1__eq,axiom,
% 26.12/26.23 ! [Xa] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),one_one_int))
% 26.12/26.23 <=> abs_abs_int(Xa) = one_one_int ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1159_abs__int__eq,axiom,
% 26.12/26.23 ! [M] : abs_abs_int(hAPP_nat_int(semiri1621563631at_int,M)) = hAPP_nat_int(semiri1621563631at_int,M) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1160_abs__zmult__eq__1,axiom,
% 26.12/26.23 ! [M,N] :
% 26.12/26.23 ( abs_abs_int(times_times_int(M,N)) = one_one_int
% 26.12/26.23 => abs_abs_int(M) = one_one_int ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1161_zero__le__zpower__abs,axiom,
% 26.12/26.23 ! [X,N] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(X)),N))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1162_zabs__less__one__iff,axiom,
% 26.12/26.23 ! [Z_1] :
% 26.12/26.23 ( is_int(Z_1)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,abs_abs_int(Z_1)),one_one_int))
% 26.12/26.23 <=> Z_1 = zero_zero_int ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1163_abs__eq__1__iff,axiom,
% 26.12/26.23 ! [Z_1] :
% 26.12/26.23 ( is_int(Z_1)
% 26.12/26.23 => ( abs_abs_int(Z_1) = one_one_int
% 26.12/26.23 <=> ( Z_1 = one_one_int
% 26.12/26.23 | Z_1 = number_number_of_int(min) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1164_abs__power3__distrib,axiom,
% 26.12/26.23 ! [X] : abs_abs_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit1(bit1(pls))))) = hAPP_nat_int(power_power_int(abs_abs_int(X)),number_number_of_nat(bit1(bit1(pls)))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1165_zero__less__zpower__abs__iff,axiom,
% 26.12/26.23 ! [Xa,Na] :
% 26.12/26.23 ( is_int(Xa)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(abs_abs_int(Xa)),Na)))
% 26.12/26.23 <=> ( Xa != zero_zero_int
% 26.12/26.23 | Na = zero_zero_nat ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1166_zdvd__mult__cancel1,axiom,
% 26.12/26.23 ! [Na,Ma] :
% 26.12/26.23 ( is_int(Ma)
% 26.12/26.23 => ( Ma != zero_zero_int
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,times_times_int(Ma,Na)),Ma))
% 26.12/26.23 <=> abs_abs_int(Na) = one_one_int ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1167_int__dvd__iff,axiom,
% 26.12/26.23 ! [Ma,Z_1] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_1))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),nat(abs_abs_int(Z_1)))) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1168_dvd__int__iff,axiom,
% 26.12/26.23 ! [Z_1,Ma] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),hAPP_nat_int(semiri1621563631at_int,Ma)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,nat(abs_abs_int(Z_1))),Ma)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1169_abs__power2__distrib,axiom,
% 26.12/26.23 ! [A] : abs_abs_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_int(power_power_int(abs_abs_int(A)),number_number_of_nat(bit0(bit1(pls)))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1170_power2__eq__iff__abs__eq,axiom,
% 26.12/26.23 ! [A_1,B] :
% 26.12/26.23 ( hAPP_nat_int(power_power_int(A_1),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))
% 26.12/26.23 <=> abs_abs_int(A_1) = abs_abs_int(B) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1171_power2__eq1__iff,axiom,
% 26.12/26.23 ! [A] :
% 26.12/26.23 ( hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))) = one_one_int
% 26.12/26.23 => abs_abs_int(A) = one_one_int ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1172_incr__lemma,axiom,
% 26.12/26.23 ! [Z,X,D_1] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),plus_plus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D_1)))) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1173_decr__lemma,axiom,
% 26.12/26.23 ! [X,Z,D_1] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(X,times_times_int(plus_plus_int(abs_abs_int(minus_minus_int(X,Z)),one_one_int),D_1))),Z)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1174_best__division__abs,axiom,
% 26.12/26.23 ! [Y,X] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))
% 26.12/26.23 => ? [N_1] :
% 26.12/26.23 ( is_int(N_1)
% 26.12/26.23 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(number_number_of_int(bit0(bit1(pls))),abs_abs_int(minus_minus_int(Y,times_times_int(N_1,X))))),X)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1175_decr__mult__lemma,axiom,
% 26.12/26.23 ! [K,P_1,D] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))
% 26.12/26.23 => ( ! [X_1] :
% 26.12/26.23 ( is_int(X_1)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(P_1,X_1))
% 26.12/26.23 => hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_1,D))) ) )
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K))
% 26.12/26.23 => ! [X_1] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(P_1,X_1))
% 26.12/26.23 => hBOOL(hAPP_int_bool(P_1,minus_minus_int(X_1,times_times_int(K,D)))) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1176_abs__add__one__not__less__self,axiom,
% 26.12/26.23 ! [X] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(abs_abs_real(X),one_one_real)),X)) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1177_abs__add__one__gt__zero,axiom,
% 26.12/26.23 ! [X] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),plus_plus_real(one_one_real,abs_abs_real(X)))) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1178_less__one__imp__sqr__less__one,axiom,
% 26.12/26.23 ! [X] :
% 26.12/26.23 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,abs_abs_real(X)),one_one_real))
% 26.12/26.23 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls))))),one_one_real)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1179_ex__least__nat__less,axiom,
% 26.12/26.23 ! [Na,P_1] :
% 26.12/26.23 ( ~ hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(P_1,Na))
% 26.12/26.23 => ? [K_2] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),Na))
% 26.12/26.23 & ! [I] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),K_2))
% 26.12/26.23 => ~ hBOOL(hAPP_nat_bool(P_1,I)) )
% 26.12/26.23 & hBOOL(hAPP_nat_bool(P_1,plus_plus_nat(K_2,one_one_nat))) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1180_incr__mult__lemma,axiom,
% 26.12/26.23 ! [K,P_1,D] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))
% 26.12/26.23 => ( ! [X_1] :
% 26.12/26.23 ( is_int(X_1)
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(P_1,X_1))
% 26.12/26.23 => hBOOL(hAPP_int_bool(P_1,plus_plus_int(X_1,D))) ) )
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K))
% 26.12/26.23 => ! [X_1] :
% 26.12/26.23 ( hBOOL(hAPP_int_bool(P_1,X_1))
% 26.12/26.23 => hBOOL(hAPP_int_bool(P_1,plus_plus_int(X_1,times_times_int(K,D)))) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1181_nat__less__add__iff1,axiom,
% 26.12/26.23 ! [U,Ma,Na,J,I_1] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),I_1))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1182_nat__less__add__iff2,axiom,
% 26.12/26.23 ! [U,Ma,Na,I_1,J] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1183_nat__mult__eq__cancel__disj,axiom,
% 26.12/26.23 ! [K,Ma,Na] :
% 26.12/26.23 ( times_times_nat(K,Ma) = times_times_nat(K,Na)
% 26.12/26.23 <=> ( K = zero_zero_nat
% 26.12/26.23 | Ma = Na ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1184_left__add__mult__distrib,axiom,
% 26.12/26.23 ! [I_2,U_1,J_1,K_1] : plus_plus_nat(times_times_nat(I_2,U_1),plus_plus_nat(times_times_nat(J_1,U_1),K_1)) = plus_plus_nat(times_times_nat(plus_plus_nat(I_2,J_1),U_1),K_1) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1185_nat__mult__less__cancel1,axiom,
% 26.12/26.23 ! [Ma,Na,K] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1186_nat__mult__eq__cancel1,axiom,
% 26.12/26.23 ! [Ma,Na,K] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.23 => ( times_times_nat(K,Ma) = times_times_nat(K,Na)
% 26.12/26.23 <=> Ma = Na ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1187_nat__mult__dvd__cancel__disj,axiom,
% 26.12/26.23 ! [K,Ma,Na] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))
% 26.12/26.23 <=> ( K = zero_zero_nat
% 26.12/26.23 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1188_nat__mult__dvd__cancel1,axiom,
% 26.12/26.23 ! [Ma,Na,K] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1189_nat__mult__le__cancel1,axiom,
% 26.12/26.23 ! [Ma,Na,K] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(K,Ma)),times_times_nat(K,Na)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),Na)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1190_nat__le__add__iff1,axiom,
% 26.12/26.23 ! [U,Ma,Na,J,I_1] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),I_1))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma)),Na)) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1191_nat__diff__add__eq1,axiom,
% 26.12/26.23 ! [U_1,M,N,J_1,I_2] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_2))
% 26.12/26.23 => minus_minus_nat(plus_plus_nat(times_times_nat(I_2,U_1),M),plus_plus_nat(times_times_nat(J_1,U_1),N)) = minus_minus_nat(plus_plus_nat(times_times_nat(minus_minus_nat(I_2,J_1),U_1),M),N) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1192_nat__eq__add__iff1,axiom,
% 26.12/26.23 ! [U,Ma,Na,J,I_1] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J),I_1))
% 26.12/26.23 => ( plus_plus_nat(times_times_nat(I_1,U),Ma) = plus_plus_nat(times_times_nat(J,U),Na)
% 26.12/26.23 <=> plus_plus_nat(times_times_nat(minus_minus_nat(I_1,J),U),Ma) = Na ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1193_nat__le__add__iff2,axiom,
% 26.12/26.23 ! [U,Ma,Na,I_1,J] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 26.12/26.23 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(times_times_nat(I_1,U),Ma)),plus_plus_nat(times_times_nat(J,U),Na)))
% 26.12/26.23 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na))) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1194_nat__diff__add__eq2,axiom,
% 26.12/26.23 ! [U_1,M,N,I_2,J_1] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_1))
% 26.12/26.23 => minus_minus_nat(plus_plus_nat(times_times_nat(I_2,U_1),M),plus_plus_nat(times_times_nat(J_1,U_1),N)) = minus_minus_nat(M,plus_plus_nat(times_times_nat(minus_minus_nat(J_1,I_2),U_1),N)) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1195_nat__eq__add__iff2,axiom,
% 26.12/26.23 ! [U,Ma,Na,I_1,J] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J))
% 26.12/26.23 => ( plus_plus_nat(times_times_nat(I_1,U),Ma) = plus_plus_nat(times_times_nat(J,U),Na)
% 26.12/26.23 <=> Ma = plus_plus_nat(times_times_nat(minus_minus_nat(J,I_1),U),Na) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1196_nat0__intermed__int__val,axiom,
% 26.12/26.23 ! [K,F,Na] :
% 26.12/26.23 ( is_int(K)
% 26.12/26.23 => ( ! [I] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat(I,one_one_nat)),hAPP_nat_int(F,I)))),one_one_int)) )
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,zero_zero_nat)),K))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na)))
% 26.12/26.23 => ? [I] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na))
% 26.12/26.23 & hAPP_nat_int(F,I) = K ) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(fact_1197_int__val__lemma,axiom,
% 26.12/26.23 ! [K,F,Na] :
% 26.12/26.23 ( is_int(K)
% 26.12/26.23 => ( ! [I] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),Na))
% 26.12/26.23 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,abs_abs_int(minus_minus_int(hAPP_nat_int(F,plus_plus_nat(I,one_one_nat)),hAPP_nat_int(F,I)))),one_one_int)) )
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(F,zero_zero_nat)),K))
% 26.12/26.23 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),hAPP_nat_int(F,Na)))
% 26.12/26.23 => ? [I] :
% 26.12/26.23 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),Na))
% 26.12/26.23 & hAPP_nat_int(F,I) = K ) ) ) ) ) ).
% 26.12/26.23
% 26.12/26.23 %----Helper facts (6)
% 26.12/26.23 fof(help_If_1_1_If_000tc__Int__Oint_T,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( is_int(X)
% 26.12/26.23 => if_int(fTrue,X,Y) = X ) ).
% 26.12/26.23
% 26.12/26.23 fof(help_If_2_1_If_000tc__Int__Oint_T,axiom,
% 26.12/26.23 ! [X,Y] :
% 26.12/26.23 ( is_int(Y)
% 26.12/26.23 => if_int(fFalse,X,Y) = Y ) ).
% 26.12/26.23
% 26.12/26.23 fof(help_If_3_1_If_000tc__Int__Oint_T,axiom,
% 26.12/26.23 ! [P] :
% 26.12/26.23 ( is_bool(P)
% 26.12/26.23 => ( P = fTrue
% 26.12/26.23 | P = fFalse ) ) ).
% 26.12/26.23
% 26.12/26.23 fof(help_If_1_1_If_000tc__Nat__Onat_T,axiom,
% 26.12/26.23 ! [X,Y] : if_nat(fTrue,X,Y) = X ).
% 26.12/26.23
% 26.12/26.23 fof(help_If_2_1_If_000tc__Nat__Onat_T,axiom,
% 26.12/26.23 ! [X,Y] : if_nat(fFalse,X,Y) = Y ).
% 26.12/26.23
% 26.12/26.23 fof(help_If_3_1_If_000tc__Nat__Onat_T,axiom,
% 26.12/26.23 ! [P] :
% 26.12/26.23 ( is_bool(P)
% 26.12/26.23 => ( P = fTrue
% 26.12/26.23 | P = fFalse ) ) ).
% 26.12/26.23
% 26.12/26.23 %----Conjectures (1)
% 26.12/26.23 fof(conj_0,conjecture,
% 26.12/26.23 hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ).
% 26.12/26.23
% 26.12/26.23 %------------------------------------------------------------------------------
% 26.12/26.23 %-------------------------------------------
% 26.12/26.23 % Proof found
% 26.12/26.23 % SZS status Theorem for theBenchmark
% 26.12/26.23 % SZS output start Proof
% 26.12/26.23 %ClaNum:1808(EqnAxiom:120)
% 26.12/26.23 %VarNum:5874(SingletonVarNum:2461)
% 26.12/26.23 %MaxLitNum:9
% 26.12/26.23 %MaxfuncDepth:9
% 26.12/26.23 %SharedTerms:372
% 26.12/26.23 %goalClause: 503
% 26.12/26.23 %singleGoalClaCount:1
% 26.12/26.23 [121]E(a1,a81)
% 26.12/26.23 [132]P1(a72)
% 26.12/26.23 [133]P1(a81)
% 26.12/26.23 [134]P1(a5)
% 26.12/26.23 [135]P1(a1)
% 26.12/26.23 [136]P1(a6)
% 26.12/26.23 [137]P1(a67)
% 26.12/26.23 [138]P1(a82)
% 26.12/26.23 [139]P1(a83)
% 26.12/26.23 [140]P1(a91)
% 26.12/26.23 [141]P1(a95)
% 26.12/26.23 [142]P1(a102)
% 26.12/26.23 [143]P1(a7)
% 26.12/26.23 [144]P1(a20)
% 26.12/26.23 [145]P1(a21)
% 26.12/26.23 [146]P1(a26)
% 26.12/26.23 [147]P1(a27)
% 26.12/26.23 [148]P1(a28)
% 26.12/26.23 [149]P1(a29)
% 26.12/26.23 [150]P1(a34)
% 26.12/26.23 [151]P1(a35)
% 26.12/26.23 [152]P1(a36)
% 26.12/26.23 [153]P2(a37)
% 26.12/26.23 [154]P2(a53)
% 26.12/26.23 [555]~E(a72,a81)
% 26.12/26.23 [557]~E(a5,a1)
% 26.12/26.23 [560]~E(a74,a104)
% 26.12/26.23 [562]~E(a105,a73)
% 26.12/26.23 [125]E(f4(a72),a73)
% 26.12/26.23 [128]E(f2(a1),a81)
% 26.12/26.23 [130]E(f3(a1),a104)
% 26.12/26.23 [131]E(f4(a81),a105)
% 26.12/26.23 [158]P1(f96(a54))
% 26.12/26.23 [161]E(f84(a5,a72),a1)
% 26.12/26.23 [162]E(f84(a1,a1),a1)
% 26.12/26.23 [164]E(f55(a92,a73),a72)
% 26.12/26.23 [166]E(f55(a92,a105),a81)
% 26.12/26.23 [167]E(f60(a93,a73),a74)
% 26.12/26.23 [168]E(f60(a93,a105),a104)
% 26.12/26.23 [169]E(f61(a94,a73),a73)
% 26.12/26.23 [170]E(f61(a94,a105),a105)
% 26.12/26.23 [563]~E(f2(a5),f2(a1))
% 26.12/26.23 [157]E(f4(f2(a1)),a105)
% 26.12/26.23 [221]E(f68(f4(a91),a73),a100)
% 26.12/26.23 [253]E(f84(f84(a5,a5),a72),a5)
% 26.12/26.23 [262]E(f84(f84(a1,a1),a72),f84(a1,a72))
% 26.12/26.23 [284]P3(f58(f57(a75,a72),a91))
% 26.12/26.23 [286]P3(f58(f57(a75,a81),a72))
% 26.12/26.23 [287]P3(f58(f57(a75,a5),a81))
% 26.12/26.23 [288]P3(f58(f57(a75,a5),a1))
% 26.12/26.23 [289]P3(f58(f57(a76,a72),a91))
% 26.12/26.23 [290]P3(f58(f57(a76,a81),a72))
% 26.12/26.23 [292]P3(f58(f57(a76,a81),a83))
% 26.12/26.23 [293]P3(f58(f57(a76,a81),a27))
% 26.12/26.23 [294]P3(f58(f57(a76,a81),a28))
% 26.12/26.23 [296]P3(f58(f57(a76,a5),a1))
% 26.12/26.23 [298]P3(f56(f59(a79,a105),a71))
% 26.12/26.23 [299]P3(f56(f59(a79,a105),a73))
% 26.12/26.23 [300]P3(f56(f59(a79,a105),a100))
% 26.12/26.23 [301]P3(f62(f63(a80,a104),a74))
% 26.12/26.23 [311]P3(f58(f57(a76,a81),f2(a1)))
% 26.12/26.23 [396]P3(f58(f57(a75,a81),f84(a72,a72)))
% 26.12/26.23 [397]P3(f56(f59(a79,a105),f86(a73,a73)))
% 26.12/26.23 [398]P3(f62(f63(a80,a104),f85(a74,a74)))
% 26.12/26.23 [545]P3(f58(f90(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)),f2(a5)))
% 26.12/26.23 [571]~P3(f58(f57(a75,a72),a81))
% 26.12/26.23 [572]~P3(f58(f57(a75,a5),a5))
% 26.12/26.23 [573]~P3(f58(f57(a75,a1),a81))
% 26.12/26.23 [574]~P3(f58(f57(a75,a1),a5))
% 26.12/26.23 [575]~P3(f58(f57(a75,a1),a1))
% 26.12/26.23 [576]~P3(f58(f57(a76,a1),a5))
% 26.12/26.23 [578]~P3(f62(f63(a80,a74),a104))
% 26.12/26.23 [281]E(f2(f84(f84(a1,a1),a72)),a72)
% 26.12/26.23 [283]E(f3(f84(f84(a1,a1),a72)),a74)
% 26.12/26.23 [416]P3(f56(f59(a79,a105),f68(f4(a91),a73)))
% 26.12/26.23 [466]P3(f58(f57(a75,a81),f84(a72,f55(a92,a71))))
% 26.12/26.23 [467]P3(f58(f57(a75,a67),f84(a72,f55(a92,a71))))
% 26.12/26.23 [517]P3(f58(f57(a76,f97(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),f8(a34))),f84(a72,f55(a92,a71))))
% 26.12/26.23 [518]P3(f58(f57(a76,f97(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),f8(a36))),f84(a72,f55(a92,a71))))
% 26.12/26.23 [550]P3(f58(f57(a11,f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)),f69(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f2(a5))))
% 26.12/26.23 [435]E(f4(f2(f84(f84(a1,a1),a72))),a73)
% 26.12/26.23 [451]E(f69(a102,f97(a29,f84(a72,f55(a92,a71)))),a34)
% 26.12/26.23 [452]E(f69(a95,f97(a35,f84(a72,f55(a92,a71)))),a36)
% 26.12/26.23 [484]E(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),f84(a72,a72))
% 26.12/26.23 [486]E(f3(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),f85(a74,a74))
% 26.12/26.23 [548]P3(f58(a101,f97(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72),f84(a72,f55(a92,a71)))))
% 26.12/26.23 [597]~P3(f58(a101,f97(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72),f84(a72,f55(a92,a105)))))
% 26.12/26.23 [491]E(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),f86(a73,a73))
% 26.12/26.23 [499]P3(f58(a106,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))
% 26.12/26.23 [502]P3(f58(f57(a76,a81),f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))
% 26.12/26.23 [494]E(f55(f87(a81),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a81)
% 26.12/26.23 [495]E(f60(f88(a104),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a104)
% 26.12/26.23 [498]E(f61(f89(a105),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a105)
% 26.12/26.23 [503]E(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a81)
% 26.12/26.23 [504]E(f55(a92,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))
% 26.12/26.23 [505]P3(f56(f59(a79,a105),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.23 [506]P3(f58(f57(a76,a81),f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))))
% 26.12/26.23 [507]E(f55(a92,f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))),f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))
% 26.12/26.23 [509]E(f69(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f2(a5)),f84(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a72))
% 26.12/26.23 [528]E(f97(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72),f84(a72,f55(a92,a71))),f84(f55(f87(a95),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(a102),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.23 [529]E(f97(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72),f84(a72,f55(a92,a71))),f84(f55(f87(a7),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(a20),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.23 [521]E(f66(f2(a5),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)),a72)
% 26.12/26.23 [523]E(f97(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72),a91),f84(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a72))
% 26.12/26.23 [524]E(f97(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72),a21),f84(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a72))
% 26.12/26.23 [530]P3(f58(a106,f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [531]P3(f58(f57(a75,a81),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [532]P3(f58(f57(a75,a83),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [533]P3(f58(f57(a75,a91),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [534]P3(f58(f57(a75,a27),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [535]P3(f58(f57(a75,a28),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [536]P3(f58(f103(a82,a83),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [537]P3(f58(f103(a82,a27),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [538]P3(f58(f103(a82,a28),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [540]P3(f58(f57(a75,f84(a72,f55(a92,a71))),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [541]P3(f58(f103(f55(f87(a82),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f2(a5)),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [542]P3(f58(f103(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f2(a5)),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [543]P3(f58(f103(f55(f87(a26),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f2(a5)),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [544]P3(f58(f103(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(a82),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.23 [549]P3(f58(f57(a11,f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)),f84(f55(f87(a83),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a72)))
% 26.12/26.23 [546]P3(f58(a101,f97(f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72),a91)))
% 26.12/26.23 [172]E(f97(x1721,a81),a81)
% 26.12/26.23 [175]E(f98(x1751,a105),a105)
% 26.12/26.23 [177]E(f99(x1771,a104),a104)
% 26.12/26.23 [179]E(f97(a81,x1791),a81)
% 26.12/26.23 [180]E(f97(a1,x1801),a1)
% 26.12/26.23 [181]E(f68(a105,x1811),a105)
% 26.12/26.23 [184]E(f98(a105,x1841),a105)
% 26.12/26.23 [186]E(f99(a104,x1861),a104)
% 26.12/26.23 [189]E(f85(x1891,a104),x1891)
% 26.12/26.24 [193]E(f86(x1931,a105),x1931)
% 26.12/26.24 [194]E(f68(x1941,a105),x1941)
% 26.12/26.24 [195]E(f70(x1951,a104),x1951)
% 26.12/26.24 [199]E(f98(x1991,a73),x1991)
% 26.12/26.24 [202]E(f99(x2021,a74),x2021)
% 26.12/26.24 [205]E(f85(a104,x2051),x2051)
% 26.12/26.24 [209]E(f86(a105,x2091),x2091)
% 26.12/26.24 [213]E(f98(a73,x2131),x2131)
% 26.12/26.24 [217]E(f99(a74,x2171),x2171)
% 26.12/26.24 [218]E(f69(x2181,x2181),a81)
% 26.12/26.24 [219]E(f68(x2191,x2191),a105)
% 26.12/26.24 [220]E(f70(x2201,x2201),a104)
% 26.12/26.24 [237]E(f84(x2371,a72),f69(x2371,a5))
% 26.12/26.24 [565]~E(f84(x5651,x5651),a5)
% 26.12/26.24 [222]E(f55(f87(a72),x2221),a72)
% 26.12/26.24 [223]E(f60(f88(a74),x2231),a74)
% 26.12/26.24 [224]E(f61(f89(a73),x2241),a73)
% 26.12/26.24 [225]E(f85(x2251,f3(a1)),x2251)
% 26.12/26.24 [226]E(f85(f3(a1),x2261),x2261)
% 26.12/26.24 [228]E(f55(f87(x2281),a105),a72)
% 26.12/26.24 [230]E(f60(f88(x2301),a105),a74)
% 26.12/26.24 [232]E(f61(f89(x2321),a105),a73)
% 26.12/26.24 [234]E(f60(f88(x2341),a73),x2341)
% 26.12/26.24 [236]E(f61(f89(x2361),a73),x2361)
% 26.12/26.24 [249]E(f4(f55(a92,x2491)),x2491)
% 26.12/26.24 [254]E(f8(f55(a92,x2541)),f55(a92,x2541))
% 26.12/26.24 [255]E(f2(f55(a92,x2551)),f55(a92,x2551))
% 26.12/26.24 [256]E(f3(f55(a92,x2561)),f60(a93,x2561))
% 26.12/26.24 [304]P3(f56(f59(a77,a105),x3041))
% 26.12/26.24 [305]E(f84(f84(x3051,x3051),a72),f84(f84(a72,x3051),x3051))
% 26.12/26.24 [306]P3(f58(f103(x3061,a81),x3061))
% 26.12/26.24 [307]P3(f58(f57(a76,x3071),x3071))
% 26.12/26.24 [308]P3(f56(f59(a77,x3081),x3081))
% 26.12/26.24 [309]P3(f56(f59(a9,x3091),x3091))
% 26.12/26.24 [310]P3(f62(f63(a78,x3101),x3101))
% 26.12/26.24 [355]E(f84(f84(a81,f2(x3551)),f2(x3551)),f2(f84(x3551,x3551)))
% 26.12/26.24 [356]E(f85(f85(a104,f3(x3561)),f3(x3561)),f3(f84(x3561,x3561)))
% 26.12/26.24 [357]E(f84(f69(a1,x3571),f69(a1,x3571)),f69(a1,f84(x3571,x3571)))
% 26.12/26.24 [365]E(f97(f84(x3651,a72),f69(x3651,a72)),f69(f97(x3651,x3651),a72))
% 26.12/26.24 [366]E(f99(f85(x3661,a74),f70(x3661,a74)),f70(f99(x3661,x3661),a74))
% 26.12/26.24 [401]P3(f58(f57(a76,a81),f55(a92,x4011)))
% 26.12/26.24 [408]P3(f58(f57(a75,x4081),f84(x4081,a72)))
% 26.12/26.24 [409]P3(f56(f59(a79,x4091),f86(x4091,a73)))
% 26.12/26.24 [410]P3(f62(f63(a80,x4101),f85(x4101,a74)))
% 26.12/26.24 [411]P3(f58(f57(a76,a81),f97(x4111,x4111)))
% 26.12/26.24 [412]P3(f62(f63(a78,a104),f99(x4121,x4121)))
% 26.12/26.24 [415]P3(f56(f59(a77,x4151),f98(x4151,x4151)))
% 26.12/26.24 [566]~E(f84(f84(a72,x5661),x5661),a81)
% 26.12/26.24 [568]~E(f84(f84(x5681,x5681),a72),a1)
% 26.12/26.24 [581]~P3(f56(f59(a79,x5811),a105))
% 26.12/26.24 [583]~P3(f56(f59(a79,x5831),x5831))
% 26.12/26.24 [302]E(f4(f2(f55(a92,x3021))),f61(a94,x3021))
% 26.12/26.24 [431]E(f84(f84(a72,f2(x4311)),f2(x4311)),f2(f84(f84(x4311,x4311),a72)))
% 26.12/26.24 [432]E(f85(f85(a74,f3(x4321)),f3(x4321)),f3(f84(f84(x4321,x4321),a72)))
% 26.12/26.24 [441]P3(f62(f63(a80,a104),f85(a74,f10(x4411))))
% 26.12/26.24 [443]E(f84(f69(a5,x4431),f69(a5,x4431)),f69(a5,f84(f84(x4431,x4431),a72)))
% 26.12/26.24 [444]E(f84(f84(f84(x4441,x4441),a72),a72),f84(f84(x4441,a72),f84(x4441,a72)))
% 26.12/26.24 [459]E(f84(f84(f69(a5,x4591),f69(a5,x4591)),a72),f69(a5,f84(x4591,x4591)))
% 26.12/26.24 [473]E(f84(f84(f69(a5,x4731),f69(a5,x4731)),a72),f69(a1,f84(f84(x4731,x4731),a72)))
% 26.12/26.24 [475]P3(f56(f59(a77,x4751),f98(x4751,f98(x4751,x4751))))
% 26.12/26.24 [585]~P3(f58(f57(a75,f55(a92,x5851)),a81))
% 26.12/26.24 [587]~P3(f62(f63(a80,f60(a93,x5871)),a104))
% 26.12/26.24 [588]~P3(f58(f57(a75,f97(x5881,x5881)),a81))
% 26.12/26.24 [589]~P3(f62(f63(a80,f99(x5891,x5891)),a104))
% 26.12/26.24 [460]E(f2(f84(f84(f84(a1,a1),a72),x4601)),f84(a72,f2(x4601)))
% 26.12/26.24 [461]E(f3(f84(f84(f84(a1,a1),a72),x4611)),f85(a74,f3(x4611)))
% 26.12/26.24 [462]E(f2(f84(x4621,f84(f84(a1,a1),a72))),f84(f2(x4621),a72))
% 26.12/26.24 [463]E(f3(f84(x4631,f84(f84(a1,a1),a72))),f85(f3(x4631),a74))
% 26.12/26.24 [592]~P3(f62(f63(a80,f85(f10(x5921),a74)),x5921))
% 26.12/26.24 [500]E(f98(x5001,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f86(x5001,x5001))
% 26.12/26.24 [501]E(f98(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x5011),f86(x5011,x5011))
% 26.12/26.24 [508]E(f8(f55(f87(x5081),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f55(f87(f8(x5081)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.24 [510]P3(f62(f63(a78,a74),f60(f88(f3(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x5101)))
% 26.12/26.24 [511]E(f97(x5111,f55(f87(x5111),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f55(f87(x5111),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))))
% 26.12/26.24 [512]P3(f58(f57(a76,x5121),f55(f87(x5121),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [515]P3(f58(f57(a75,f55(a92,x5151)),f55(f87(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x5151)))
% 26.12/26.24 [516]P3(f62(f63(a80,f60(a93,x5161)),f60(f88(f3(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x5161)))
% 26.12/26.24 [520]E(f99(f3(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),f60(f88(x5201),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f60(f88(f99(f3(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),x5201)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.24 [522]E(f55(f87(f55(f87(x5221),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x5221),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [519]E(f8(f55(f87(x5191),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))))),f55(f87(f8(x5191)),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))))
% 26.12/26.24 [593]~P3(f58(f57(a75,f55(f87(x5931),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a81))
% 26.12/26.24 [594]~P3(f62(f63(a80,f60(f88(x5941),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a104))
% 26.12/26.24 [239]E(f84(x2391,x2392),f84(x2392,x2391))
% 26.12/26.24 [241]E(f97(x2411,x2412),f97(x2412,x2411))
% 26.12/26.24 [242]E(f85(x2421,x2422),f85(x2422,x2421))
% 26.12/26.24 [244]E(f86(x2441,x2442),f86(x2442,x2441))
% 26.12/26.24 [246]E(f98(x2461,x2462),f98(x2462,x2461))
% 26.12/26.24 [248]E(f99(x2481,x2482),f99(x2482,x2481))
% 26.12/26.24 [250]P1(f55(x2501,x2502))
% 26.12/26.24 [251]P2(f56(x2511,x2512))
% 26.12/26.24 [252]P2(f62(x2521,x2522))
% 26.12/26.24 [263]E(f64(a37,x2631,x2632),x2632)
% 26.12/26.24 [264]E(f64(a53,x2641,x2642),x2641)
% 26.12/26.24 [257]E(f68(x2571,f86(x2571,x2572)),a105)
% 26.12/26.24 [258]E(f85(f70(x2581,x2582),x2582),x2581)
% 26.12/26.24 [259]E(f68(f86(x2591,x2592),x2592),x2591)
% 26.12/26.24 [260]E(f68(f86(x2601,x2602),x2601),x2602)
% 26.12/26.24 [261]E(f70(f85(x2611,x2612),x2612),x2611)
% 26.12/26.24 [265]E(f69(f2(x2651),f2(x2652)),f2(f69(x2651,x2652)))
% 26.12/26.24 [268]E(f70(f3(x2681),f3(x2682)),f3(f69(x2681,x2682)))
% 26.12/26.24 [272]E(f84(f2(x2721),f2(x2722)),f2(f84(x2721,x2722)))
% 26.12/26.24 [274]E(f97(f2(x2741),f2(x2742)),f2(f97(x2741,x2742)))
% 26.12/26.24 [275]E(f85(f3(x2751),f3(x2752)),f3(f84(x2751,x2752)))
% 26.12/26.24 [276]E(f99(f3(x2761),f3(x2762)),f3(f97(x2761,x2762)))
% 26.12/26.24 [312]P3(f58(f103(x3121,x3122),a72))
% 26.12/26.24 [354]P3(f58(f103(x3541,x3541),x3542))
% 26.12/26.24 [361]E(f85(f60(a93,x3611),f60(a93,x3612)),f60(a93,f86(x3611,x3612)))
% 26.12/26.24 [362]E(f99(f60(a93,x3621),f60(a93,x3622)),f60(a93,f98(x3621,x3622)))
% 26.12/26.24 [363]E(f86(f61(a94,x3631),f61(a94,x3632)),f61(a94,f86(x3631,x3632)))
% 26.12/26.24 [364]E(f98(f61(a94,x3641),f61(a94,x3642)),f61(a94,f98(x3641,x3642)))
% 26.12/26.24 [368]E(f84(f55(a92,x3681),f55(a92,x3682)),f55(a92,f86(x3681,x3682)))
% 26.12/26.24 [370]E(f97(f55(a92,x3701),f55(a92,x3702)),f55(a92,f98(x3701,x3702)))
% 26.12/26.24 [413]P3(f56(f59(a77,x4131),f86(x4132,x4131)))
% 26.12/26.24 [414]P3(f56(f59(a77,x4141),f86(x4141,x4142)))
% 26.12/26.24 [570]~E(f84(f84(x5701,x5701),a72),f84(x5702,x5702))
% 26.12/26.24 [399]E(f98(f4(f8(x3991)),f4(f8(x3992))),f4(f8(f97(x3991,x3992))))
% 26.12/26.24 [404]E(f60(f88(f60(a93,x4041)),x4042),f60(a93,f61(f89(x4041),x4042)))
% 26.12/26.24 [405]E(f61(f89(f61(a94,x4051)),x4052),f61(a94,f61(f89(x4051),x4052)))
% 26.12/26.24 [407]E(f55(f87(f55(a92,x4071)),x4072),f55(a92,f61(f89(x4071),x4072)))
% 26.12/26.24 [464]P3(f56(f59(a77,f68(x4641,x4642)),x4641))
% 26.12/26.24 [474]E(f69(f84(f84(x4741,x4741),a72),f84(f84(x4742,x4742),a72)),f84(f69(x4741,x4742),f69(x4741,x4742)))
% 26.12/26.24 [476]E(f84(f84(f97(x4761,x4762),f97(x4761,x4762)),x4762),f97(f84(f84(x4761,x4761),a72),x4762))
% 26.12/26.24 [479]E(f84(f84(f84(x4791,x4792),f84(x4791,x4792)),a72),f84(f84(x4791,x4791),f84(f84(x4792,x4792),a72)))
% 26.12/26.24 [480]E(f84(f84(f69(x4801,x4802),f69(x4801,x4802)),a72),f69(f84(f84(x4801,x4801),a72),f84(x4802,x4802)))
% 26.12/26.24 [481]E(f84(f84(f84(x4811,x4812),f84(x4811,x4812)),a72),f84(f84(f84(x4811,x4811),a72),f84(x4812,x4812)))
% 26.12/26.24 [487]E(f84(f84(f84(x4871,x4871),a72),f84(f84(x4872,x4872),a72)),f84(f84(x4871,f84(x4872,a72)),f84(x4871,f84(x4872,a72))))
% 26.12/26.24 [488]P3(f58(f57(a76,a81),f84(f97(x4881,x4881),f97(x4882,x4882))))
% 26.12/26.24 [489]P3(f62(f63(a78,a104),f85(f99(x4891,x4891),f99(x4892,x4892))))
% 26.12/26.24 [590]~P3(f56(f59(a79,f86(x5901,x5902)),x5902))
% 26.12/26.24 [591]~P3(f56(f59(a79,f86(x5911,x5912)),x5911))
% 26.12/26.24 [465]P3(f58(f57(a76,a81),f55(f87(f8(x4651)),x4652)))
% 26.12/26.24 [513]E(f97(f84(x5131,x5132),f69(x5131,x5132)),f69(f55(f87(x5131),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x5132),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [514]E(f68(f61(f89(x5141),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f61(f89(x5142),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f98(f86(x5141,x5142),f68(x5141,x5142)))
% 26.12/26.24 [525]E(f85(f85(f60(f88(x5251),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x5252),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f99(f99(f3(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),x5251),x5252)),f60(f88(f85(x5251,x5252)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.24 [526]E(f84(f69(f55(f87(x5261),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f97(f97(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),x5261),x5262)),f55(f87(x5262),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f55(f87(f69(x5261,x5262)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.24 [527]E(f84(f84(f55(f87(x5271),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f97(f97(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),x5271),x5272)),f55(f87(x5272),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f55(f87(f84(x5271,x5272)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.24 [551]E(f69(f84(f69(f55(f87(x5511),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))),f97(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)),f55(f87(x5511),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),x5512)),f97(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)),x5511),f55(f87(x5512),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),f55(f87(x5512),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))))),f55(f87(f69(x5511,x5512)),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))))
% 26.12/26.24 [552]E(f84(f84(f84(f55(f87(x5521),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))),f97(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)),f55(f87(x5521),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),x5522)),f97(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)),x5521),f55(f87(x5522),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),f55(f87(x5522),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))))),f55(f87(f84(x5521,x5522)),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))))
% 26.12/26.24 [595]~P3(f58(f57(a75,f84(f55(f87(x5951),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x5952),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),a81))
% 26.12/26.24 [596]~P3(f62(f63(a80,f85(f60(f88(x5961),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x5962),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),a104))
% 26.12/26.24 [314]E(f84(x3141,f84(x3142,x3143)),f84(x3142,f84(x3141,x3143)))
% 26.12/26.24 [315]E(f97(x3151,f97(x3152,x3153)),f97(x3152,f97(x3151,x3153)))
% 26.12/26.24 [316]E(f85(x3161,f85(x3162,x3163)),f85(x3162,f85(x3161,x3163)))
% 26.12/26.24 [318]E(f86(x3181,f86(x3182,x3183)),f86(x3182,f86(x3181,x3183)))
% 26.12/26.24 [319]E(f98(x3191,f98(x3192,x3193)),f98(x3192,f98(x3191,x3193)))
% 26.12/26.24 [320]E(f99(x3201,f99(x3202,x3203)),f99(x3202,f99(x3201,x3203)))
% 26.12/26.24 [329]E(f84(f84(x3291,x3292),x3293),f84(x3291,f84(x3292,x3293)))
% 26.12/26.24 [332]E(f97(f97(x3321,x3322),x3323),f97(x3321,f97(x3322,x3323)))
% 26.12/26.24 [334]E(f85(f85(x3341,x3342),x3343),f85(x3341,f85(x3342,x3343)))
% 26.12/26.24 [337]E(f86(f86(x3371,x3372),x3373),f86(x3371,f86(x3372,x3373)))
% 26.12/26.24 [338]E(f68(f68(x3381,x3382),x3383),f68(x3381,f86(x3382,x3383)))
% 26.12/26.24 [341]E(f98(f98(x3411,x3412),x3413),f98(x3411,f98(x3412,x3413)))
% 26.12/26.24 [344]E(f99(f99(x3441,x3442),x3443),f99(x3441,f99(x3442,x3443)))
% 26.12/26.24 [345]E(f84(f84(x3451,x3452),x3453),f84(f84(x3451,x3453),x3452))
% 26.12/26.24 [346]E(f97(f97(x3461,x3462),x3463),f97(f97(x3461,x3463),x3462))
% 26.12/26.24 [347]E(f85(f85(x3471,x3472),x3473),f85(f85(x3471,x3473),x3472))
% 26.12/26.24 [348]E(f86(f86(x3481,x3482),x3483),f86(f86(x3481,x3483),x3482))
% 26.12/26.24 [349]E(f68(f68(x3491,x3492),x3493),f68(f68(x3491,x3493),x3492))
% 26.12/26.24 [350]E(f98(f98(x3501,x3502),x3503),f98(f98(x3501,x3503),x3502))
% 26.12/26.24 [351]E(f99(f99(x3511,x3512),x3513),f99(f99(x3511,x3513),x3512))
% 26.12/26.24 [352]E(f68(f86(x3521,x3522),f86(x3523,x3522)),f68(x3521,x3523))
% 26.12/26.24 [353]E(f68(f86(x3531,x3532),f86(x3531,x3533)),f68(x3532,x3533))
% 26.12/26.24 [374]E(f69(f97(x3741,x3742),f97(x3741,x3743)),f97(x3741,f69(x3742,x3743)))
% 26.12/26.24 [376]E(f84(f97(x3761,x3762),f97(x3761,x3763)),f97(x3761,f84(x3762,x3763)))
% 26.12/26.24 [378]E(f86(f98(x3781,x3782),f98(x3781,x3783)),f98(x3781,f86(x3782,x3783)))
% 26.12/26.24 [379]E(f68(f98(x3791,x3792),f98(x3791,x3793)),f98(x3791,f68(x3792,x3793)))
% 26.12/26.24 [380]E(f85(f99(x3801,x3802),f99(x3801,x3803)),f99(x3801,f85(x3802,x3803)))
% 26.12/26.24 [381]E(f69(f97(x3811,x3812),f97(x3813,x3812)),f97(f69(x3811,x3813),x3812))
% 26.12/26.24 [389]E(f68(f98(x3891,x3892),f98(x3893,x3892)),f98(f68(x3891,x3893),x3892))
% 26.12/26.24 [393]E(f84(f97(x3931,x3932),f97(x3933,x3932)),f97(f84(x3931,x3933),x3932))
% 26.12/26.24 [394]E(f85(f99(x3941,x3942),f99(x3943,x3942)),f99(f85(x3941,x3943),x3942))
% 26.12/26.24 [395]E(f86(f98(x3951,x3952),f98(x3953,x3952)),f98(f86(x3951,x3953),x3952))
% 26.12/26.24 [417]E(f84(f2(x4171),f84(f2(x4172),x4173)),f84(f2(f84(x4171,x4172)),x4173))
% 26.12/26.24 [418]E(f97(f2(x4181),f97(f2(x4182),x4183)),f97(f2(f97(x4181,x4182)),x4183))
% 26.12/26.24 [419]E(f85(f3(x4191),f85(f3(x4192),x4193)),f85(f3(f84(x4191,x4192)),x4193))
% 26.12/26.24 [420]E(f99(f3(x4201),f99(f3(x4202),x4203)),f99(f3(f97(x4201,x4202)),x4203))
% 26.12/26.24 [437]E(f97(f55(f87(x4371),x4372),f55(f87(x4371),x4373)),f55(f87(x4371),f86(x4372,x4373)))
% 26.12/26.24 [438]E(f70(f99(f3(x4381),x4382),f99(f3(x4381),x4383)),f99(f3(x4381),f70(x4382,x4383)))
% 26.12/26.24 [440]E(f70(f99(x4401,f3(x4402)),f99(x4403,f3(x4402))),f99(f70(x4401,x4403),f3(x4402)))
% 26.12/26.24 [454]E(f97(f55(f87(x4541),x4542),f55(f87(x4543),x4542)),f55(f87(f97(x4541,x4543)),x4542))
% 26.12/26.24 [456]E(f99(f60(f88(x4561),x4562),f60(f88(x4563),x4562)),f60(f88(f99(x4561,x4563)),x4562))
% 26.12/26.24 [458]E(f98(f61(f89(x4581),x4582),f61(f89(x4583),x4582)),f61(f89(f98(x4581,x4583)),x4582))
% 26.12/26.24 [468]E(f84(f55(a92,x4681),f84(f55(a92,x4682),x4683)),f84(f55(a92,f86(x4681,x4682)),x4683))
% 26.12/26.24 [482]P3(f58(f103(f97(x4821,x4822),f97(x4823,x4822)),x4822))
% 26.12/26.24 [442]E(f55(f87(f55(f87(x4421),x4422)),x4423),f55(f87(x4421),f98(x4422,x4423)))
% 26.12/26.24 [421]E(f84(f69(x4211,x4212),f69(x4213,x4214)),f69(f84(x4211,x4213),f84(x4212,x4214)))
% 26.12/26.24 [423]E(f84(f84(x4231,x4232),f84(x4233,x4234)),f84(f84(x4231,x4233),f84(x4232,x4234)))
% 26.12/26.24 [425]E(f97(f97(x4251,x4252),f97(x4253,x4254)),f97(f97(x4251,x4253),f97(x4252,x4254)))
% 26.12/26.24 [426]E(f85(f85(x4261,x4262),f85(x4263,x4264)),f85(f85(x4261,x4263),f85(x4262,x4264)))
% 26.12/26.24 [427]E(f86(f86(x4271,x4272),f86(x4273,x4274)),f86(f86(x4271,x4273),f86(x4272,x4274)))
% 26.12/26.24 [428]E(f85(f70(x4281,x4282),f70(x4283,x4284)),f70(f85(x4281,x4283),f85(x4282,x4284)))
% 26.12/26.24 [429]E(f98(f98(x4291,x4292),f98(x4293,x4294)),f98(f98(x4291,x4293),f98(x4292,x4294)))
% 26.12/26.24 [430]E(f99(f99(x4301,x4302),f99(x4303,x4304)),f99(f99(x4301,x4303),f99(x4302,x4304)))
% 26.12/26.24 [469]E(f84(f97(x4691,x4692),f84(f97(x4693,x4692),x4694)),f84(f97(f84(x4691,x4693),x4692),x4694))
% 26.12/26.24 [470]E(f85(f99(x4701,x4702),f85(f99(x4703,x4702),x4704)),f85(f99(f85(x4701,x4703),x4702),x4704))
% 26.12/26.24 [472]E(f86(f98(x4721,x4722),f86(f98(x4723,x4722),x4724)),f86(f98(f86(x4721,x4723),x4722),x4724))
% 26.12/26.24 [477]E(f84(f97(x4771,f69(x4772,x4773)),f97(f69(x4771,x4774),x4773)),f69(f97(x4771,x4772),f97(x4774,x4773)))
% 26.12/26.24 [478]E(f85(f99(x4781,f70(x4782,x4783)),f99(f70(x4781,x4784),x4783)),f70(f99(x4781,x4782),f99(x4784,x4783)))
% 26.12/26.24 [492]E(f84(f97(f69(x4921,f97(x4922,x4923)),x4924),f97(f69(x4925,f97(x4922,x4926)),x4927)),f69(f84(f97(x4921,x4924),f97(x4925,x4927)),f97(x4922,f84(f97(x4923,x4924),f97(x4926,x4927)))))
% 26.12/26.24 [598]P1(a22)+~E(a91,a72)
% 26.12/26.24 [599]~E(a91,a72)+P1(a24)
% 26.12/26.24 [1789]~E(a91,a72)+E(f84(f55(f87(a22),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(a24),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72))
% 26.12/26.24 [602]~P1(x6021)+E(f2(x6021),x6021)
% 26.12/26.24 [604]~E(x6041,a105)+E(f55(a92,x6041),a81)
% 26.12/26.24 [606]~E(x6061,a104)+E(f85(x6061,x6061),a104)
% 26.12/26.24 [615]~P1(x6151)+P1(f8(x6151))
% 26.12/26.24 [616]~P1(x6161)+P1(f2(x6161))
% 26.12/26.24 [630]~P1(x6301)+E(f69(x6301,a81),x6301)
% 26.12/26.24 [631]~P1(x6311)+E(f69(x6311,a1),x6311)
% 26.12/26.24 [635]~P1(x6351)+E(f84(x6351,a81),x6351)
% 26.12/26.24 [636]~P1(x6361)+E(f84(x6361,a1),x6361)
% 26.12/26.24 [640]~P1(x6401)+E(f97(x6401,a72),x6401)
% 26.12/26.24 [644]~P1(x6441)+E(f84(a81,x6441),x6441)
% 26.12/26.24 [645]~P1(x6451)+E(f84(a1,x6451),x6451)
% 26.12/26.24 [649]~P1(x6491)+E(f97(a72,x6491),x6491)
% 26.12/26.24 [650]E(x6501,a105)+~E(f55(a92,x6501),a81)
% 26.12/26.24 [661]E(x6611,a104)+~E(f85(x6611,x6611),a104)
% 26.12/26.24 [708]~P1(x7081)+P1(f84(x7081,a72))
% 26.12/26.24 [716]~P1(x7161)+P1(f84(x7161,x7161))
% 26.12/26.24 [619]E(x6191,a105)+E(f55(f87(a81),x6191),a81)
% 26.12/26.24 [620]E(x6201,a105)+E(f60(f88(a104),x6201),a104)
% 26.12/26.24 [621]E(x6211,a105)+E(f61(f89(a105),x6211),a105)
% 26.12/26.24 [627]~E(x6271,a105)+E(f55(f87(a81),x6271),a72)
% 26.12/26.24 [628]~E(x6281,a105)+E(f60(f88(a104),x6281),a74)
% 26.12/26.24 [676]~P1(x6761)+E(f84(x6761,f2(a1)),x6761)
% 26.12/26.24 [677]~P1(x6771)+E(f84(f2(a1),x6771),x6771)
% 26.12/26.24 [685]~P1(x6851)+E(f55(f87(x6851),a73),x6851)
% 26.12/26.24 [795]E(x7951,a105)+P3(f56(f59(a79,a105),x7951))
% 26.12/26.24 [812]~E(f4(x8121),a105)+P3(f58(f57(a76,x8121),a81))
% 26.12/26.24 [813]~E(f8(x8131),a72)+P3(f58(f57(a11,x8131),a72))
% 26.12/26.24 [817]~P1(x8171)+P1(f84(f84(x8171,x8171),a72))
% 26.12/26.24 [822]~E(f4(f2(x8221)),a105)+P3(f58(f57(a76,x8221),a1))
% 26.12/26.24 [837]E(x8371,a73)+~P3(f56(f59(a9,x8371),a73))
% 26.12/26.24 [838]E(x8381,a105)+~P3(f56(f59(a77,x8381),a105))
% 26.12/26.24 [840]E(f8(x8401),a72)+~P3(f58(f57(a11,x8401),a72))
% 26.12/26.24 [842]E(f4(x8421),a105)+~P3(f58(f57(a76,x8421),a81))
% 26.12/26.24 [854]E(x8541,a104)+P3(f62(f63(a80,a104),f99(x8541,x8541)))
% 26.12/26.24 [856]E(f4(f2(x8561)),a105)+~P3(f58(f57(a76,x8561),a1))
% 26.12/26.24 [934]P3(f58(f57(a75,a81),x9341))+~P3(f58(f57(a76,a72),x9341))
% 26.12/26.24 [935]~P3(f58(f57(a75,a81),x9351))+P3(f58(f57(a76,a72),x9351))
% 26.12/26.24 [941]P3(f58(f57(a75,a81),f2(x9411)))+~P3(f58(f57(a75,a1),x9411))
% 26.12/26.24 [942]P3(f58(f57(a76,a81),f2(x9421)))+~P3(f58(f57(a76,a1),x9421))
% 26.12/26.24 [943]~P3(f58(f57(a75,a81),x9431))+P3(f56(f59(a79,a105),f4(x9431)))
% 26.12/26.24 [944]~P3(f58(f57(a75,a1),x9441))+P3(f62(f63(a80,a104),f3(x9441)))
% 26.12/26.24 [945]~P3(f58(f57(a76,a1),x9451))+P3(f62(f63(a78,a104),f3(x9451)))
% 26.12/26.24 [946]~E(x9461,a104)+~P3(f62(f63(a80,a104),f99(x9461,x9461)))
% 26.12/26.24 [964]P3(f58(f57(a75,a81),x9641))+~P3(f56(f59(a79,a105),f4(x9641)))
% 26.12/26.24 [965]~P3(f58(f57(a75,a81),f2(x9651)))+P3(f58(f57(a75,a1),x9651))
% 26.12/26.24 [966]~P3(f62(f63(a80,a104),f3(x9661)))+P3(f58(f57(a75,a1),x9661))
% 26.12/26.24 [967]~P3(f58(f57(a76,a81),f2(x9671)))+P3(f58(f57(a76,a1),x9671))
% 26.12/26.24 [968]P3(f58(f57(a76,a1),x9681))+~P3(f62(f63(a78,a104),f3(x9681)))
% 26.12/26.24 [1000]~P3(f58(f57(a76,a81),x10001))+P3(f58(f57(a75,a81),f84(a72,x10001)))
% 26.12/26.24 [1002]~P3(f56(f59(a79,a105),x10021))+P3(f58(f57(a75,a81),f55(a92,x10021)))
% 26.12/26.24 [1003]~P3(f56(f59(a79,a105),x10031))+P3(f56(f59(a79,a105),f61(a94,x10031)))
% 26.12/26.24 [1004]~P3(f56(f59(a79,a105),x10041))+P3(f62(f63(a80,a104),f60(a93,x10041)))
% 26.12/26.24 [1018]~P3(f58(f57(a75,a81),x10181))+P3(f58(f57(a75,a81),f84(x10181,x10181)))
% 26.12/26.24 [1019]~P3(f58(f57(a75,a5),x10191))+P3(f58(f57(a75,a5),f84(x10191,x10191)))
% 26.12/26.24 [1020]~P3(f58(f57(a75,a1),x10201))+P3(f58(f57(a75,a1),f84(x10201,x10201)))
% 26.12/26.24 [1021]~P3(f58(f57(a75,a5),x10211))+P3(f58(f57(a76,a5),f84(x10211,x10211)))
% 26.12/26.24 [1022]~P3(f58(f57(a76,a1),x10221))+P3(f58(f57(a76,a1),f84(x10221,x10221)))
% 26.12/26.24 [1025]~P3(f62(f63(a80,a104),x10251))+P3(f62(f63(a80,a104),f85(x10251,x10251)))
% 26.12/26.24 [1082]P3(f56(f59(a79,a105),x10821))+~P3(f58(f57(a75,a81),f55(a92,x10821)))
% 26.12/26.24 [1083]P3(f56(f59(a79,a105),x10831))+~P3(f56(f59(a79,a105),f61(a94,x10831)))
% 26.12/26.24 [1084]P3(f56(f59(a79,a105),x10841))+~P3(f62(f63(a80,a104),f60(a93,x10841)))
% 26.12/26.24 [1107]~P3(f58(f57(a75,a81),f84(x11071,x11071)))+P3(f58(f57(a75,a81),x11071))
% 26.12/26.24 [1108]~P3(f58(f57(a75,a5),f84(x11081,x11081)))+P3(f58(f57(a75,a5),x11081))
% 26.12/26.24 [1109]P3(f58(f57(a75,a5),x11091))+~P3(f58(f57(a76,a5),f84(x11091,x11091)))
% 26.12/26.24 [1110]~P3(f58(f57(a75,a1),f84(x11101,x11101)))+P3(f58(f57(a75,a1),x11101))
% 26.12/26.24 [1111]~P3(f58(f57(a76,a1),f84(x11111,x11111)))+P3(f58(f57(a76,a1),x11111))
% 26.12/26.24 [1114]~P3(f62(f63(a80,a104),f85(x11141,x11141)))+P3(f62(f63(a80,a104),x11141))
% 26.12/26.24 [777]E(f55(f87(f2(a5)),x7771),f2(a5))+E(f55(f87(f2(a5)),x7771),a72)
% 26.12/26.24 [889]E(f86(a73,f4(f2(x8891))),a73)+~P3(f58(f57(a75,x8891),a1))
% 26.12/26.24 [890]E(f86(f4(f2(x8901)),a73),a73)+~P3(f58(f57(a75,x8901),a1))
% 26.12/26.24 [909]E(f4(f2(f84(x9091,a72))),f86(a73,f4(f2(x9091))))+P3(f58(f57(a75,x9091),a1))
% 26.12/26.24 [910]E(f4(f2(f84(x9101,a72))),f86(f4(f2(x9101)),a73))+P3(f58(f57(a75,x9101),a1))
% 26.12/26.24 [926]~E(x9261,a105)+P3(f58(f57(a76,f55(a92,x9261)),a81))
% 26.12/26.24 [986]~P3(f58(f57(a75,x9861),a1))+P3(f58(f57(a75,f2(x9861)),a81))
% 26.12/26.24 [987]~P3(f58(f57(a76,x9871),a1))+P3(f58(f57(a76,f2(x9871)),a81))
% 26.12/26.24 [988]~P3(f58(f57(a75,x9881),a1))+P3(f62(f63(a80,f3(x9881)),a104))
% 26.12/26.24 [989]~P3(f58(f57(a76,x9891),a1))+P3(f62(f63(a78,f3(x9891)),a104))
% 26.12/26.24 [992]~P3(f58(f57(a75,a1),x9921))+P3(f56(f59(a79,a105),f4(f2(x9921))))
% 26.12/26.24 [1007]P3(f58(f57(a75,x10071),a1))+~P3(f58(f57(a75,f2(x10071)),a81))
% 26.12/26.24 [1008]P3(f58(f57(a75,x10081),a1))+~P3(f62(f63(a80,f3(x10081)),a104))
% 26.12/26.24 [1009]P3(f58(f57(a76,x10091),a1))+~P3(f58(f57(a76,f2(x10091)),a81))
% 26.12/26.24 [1010]P3(f58(f57(a76,x10101),a1))+~P3(f62(f63(a78,f3(x10101)),a104))
% 26.12/26.24 [1038]P3(f58(f57(a75,a1),x10381))+~P3(f56(f59(a79,a105),f4(f2(x10381))))
% 26.12/26.24 [1106]E(x11061,a105)+~P3(f58(f57(a76,f55(a92,x11061)),a81))
% 26.12/26.24 [1140]~P3(f58(f57(a75,x11401),a81))+P3(f58(f57(a75,f84(x11401,x11401)),a81))
% 26.12/26.24 [1141]~P3(f58(f57(a76,x11411),a5))+P3(f58(f57(a75,f84(x11411,x11411)),a5))
% 26.12/26.24 [1142]~P3(f58(f57(a75,x11421),a1))+P3(f58(f57(a75,f84(x11421,x11421)),a1))
% 26.12/26.24 [1143]~P3(f58(f57(a76,x11431),a5))+P3(f58(f57(a76,f84(x11431,x11431)),a5))
% 26.12/26.24 [1144]~P3(f58(f57(a76,x11441),a1))+P3(f58(f57(a76,f84(x11441,x11441)),a1))
% 26.12/26.24 [1146]~P3(f62(f63(a80,x11461),a104))+P3(f62(f63(a80,f85(x11461,x11461)),a104))
% 26.12/26.24 [1172]~P3(f58(f57(a76,a81),f2(x11721)))+P3(f58(f57(a76,a81),f2(f84(x11721,x11721))))
% 26.12/26.24 [1180]~P3(f58(f57(a75,a5),x11801))+P3(f58(f57(a75,a5),f84(f84(x11801,x11801),a72)))
% 26.12/26.24 [1181]~P3(f58(f57(a76,a1),x11811))+P3(f58(f57(a75,a1),f84(f84(x11811,x11811),a72)))
% 26.12/26.24 [1182]~P3(f58(f57(a76,a5),x11821))+P3(f58(f57(a76,a5),f84(f84(x11821,x11821),a72)))
% 26.12/26.24 [1183]~P3(f58(f57(a76,a1),x11831))+P3(f58(f57(a76,a1),f84(f84(x11831,x11831),a72)))
% 26.12/26.24 [1246]P3(f58(f57(a75,x12461),a81))+~P3(f58(f57(a75,f84(x12461,x12461)),a81))
% 26.12/26.24 [1247]P3(f58(f57(a75,x12471),a1))+~P3(f58(f57(a75,f84(x12471,x12471)),a1))
% 26.12/26.24 [1248]P3(f58(f57(a76,x12481),a5))+~P3(f58(f57(a75,f84(x12481,x12481)),a5))
% 26.12/26.24 [1249]P3(f58(f57(a76,x12491),a5))+~P3(f58(f57(a76,f84(x12491,x12491)),a5))
% 26.12/26.24 [1250]P3(f58(f57(a76,x12501),a1))+~P3(f58(f57(a76,f84(x12501,x12501)),a1))
% 26.12/26.24 [1252]P3(f62(f63(a80,x12521),a104))+~P3(f62(f63(a80,f85(x12521,x12521)),a104))
% 26.12/26.24 [1313]P3(f58(f57(a75,x13131),f84(f84(a1,a1),a72)))+~P3(f58(f57(a75,f2(x13131)),a72))
% 26.12/26.24 [1314]P3(f58(f57(a75,x13141),f84(f84(a1,a1),a72)))+~P3(f62(f63(a80,f3(x13141)),a74))
% 26.12/26.24 [1315]P3(f58(f57(a76,x13151),f84(f84(a1,a1),a72)))+~P3(f58(f57(a76,f2(x13151)),a72))
% 26.12/26.24 [1316]P3(f58(f57(a76,x13161),f84(f84(a1,a1),a72)))+~P3(f62(f63(a78,f3(x13161)),a74))
% 26.12/26.24 [1402]~P3(f58(f57(a75,x14021),f84(f84(a1,a1),a72)))+P3(f58(f57(a75,f2(x14021)),a72))
% 26.12/26.24 [1403]~P3(f58(f57(a76,x14031),f84(f84(a1,a1),a72)))+P3(f58(f57(a76,f2(x14031)),a72))
% 26.12/26.24 [1404]~P3(f58(f57(a75,x14041),f84(f84(a1,a1),a72)))+P3(f62(f63(a80,f3(x14041)),a74))
% 26.12/26.24 [1405]~P3(f58(f57(a76,x14051),f84(f84(a1,a1),a72)))+P3(f62(f63(a78,f3(x14051)),a74))
% 26.12/26.24 [1407]P3(f58(f57(a75,a5),x14071))+~P3(f58(f57(a75,a5),f84(f84(x14071,x14071),a72)))
% 26.12/26.24 [1408]P3(f58(f57(a76,a5),x14081))+~P3(f58(f57(a76,a5),f84(f84(x14081,x14081),a72)))
% 26.12/26.24 [1409]P3(f58(f57(a76,a1),x14091))+~P3(f58(f57(a75,a1),f84(f84(x14091,x14091),a72)))
% 26.12/26.24 [1410]P3(f58(f57(a76,a1),x14101))+~P3(f58(f57(a76,a1),f84(f84(x14101,x14101),a72)))
% 26.12/26.24 [1476]~P3(f58(f57(a75,a72),f2(x14761)))+P3(f58(f57(a75,f84(f84(a1,a1),a72)),x14761))
% 26.12/26.24 [1477]~P3(f62(f63(a80,a74),f3(x14771)))+P3(f58(f57(a75,f84(f84(a1,a1),a72)),x14771))
% 26.12/26.24 [1478]~P3(f58(f57(a76,a72),f2(x14781)))+P3(f58(f57(a76,f84(f84(a1,a1),a72)),x14781))
% 26.12/26.24 [1479]~P3(f62(f63(a78,a74),f3(x14791)))+P3(f58(f57(a76,f84(f84(a1,a1),a72)),x14791))
% 26.12/26.24 [1530]~P3(f58(f57(a75,x15301),a81))+P3(f58(f57(a75,f84(f84(a72,x15301),x15301)),a81))
% 26.12/26.24 [1536]~P3(f58(f57(a75,x15361),a81))+P3(f58(f57(a75,f84(f84(x15361,x15361),a72)),a81))
% 26.12/26.24 [1537]~P3(f58(f57(a75,x15371),a5))+P3(f58(f57(a75,f84(f84(x15371,x15371),a72)),a5))
% 26.12/26.24 [1538]~P3(f58(f57(a75,x15381),a1))+P3(f58(f57(a75,f84(f84(x15381,x15381),a72)),a1))
% 26.12/26.24 [1539]~P3(f58(f57(a76,x15391),a5))+P3(f58(f57(a76,f84(f84(x15391,x15391),a72)),a5))
% 26.12/26.24 [1540]~P3(f58(f57(a75,x15401),a1))+P3(f58(f57(a76,f84(f84(x15401,x15401),a72)),a1))
% 26.12/26.24 [1547]~P3(f58(f57(a76,a81),f2(x15471)))+P3(f58(f57(a76,a81),f2(f84(f84(x15471,x15471),a72))))
% 26.12/26.24 [1630]P3(f58(f57(a75,a72),f2(x16301)))+~P3(f58(f57(a75,f84(f84(a1,a1),a72)),x16301))
% 26.12/26.24 [1631]P3(f58(f57(a76,a72),f2(x16311)))+~P3(f58(f57(a76,f84(f84(a1,a1),a72)),x16311))
% 26.12/26.24 [1632]P3(f62(f63(a80,a74),f3(x16321)))+~P3(f58(f57(a75,f84(f84(a1,a1),a72)),x16321))
% 26.12/26.24 [1633]P3(f62(f63(a78,a74),f3(x16331)))+~P3(f58(f57(a76,f84(f84(a1,a1),a72)),x16331))
% 26.12/26.24 [1642]P3(f58(f57(a75,x16421),a81))+~P3(f58(f57(a75,f84(f84(a72,x16421),x16421)),a81))
% 26.12/26.24 [1655]P3(f58(f57(a75,x16551),a81))+~P3(f58(f57(a75,f84(f84(x16551,x16551),a72)),a81))
% 26.12/26.24 [1656]P3(f58(f57(a75,x16561),a5))+~P3(f58(f57(a75,f84(f84(x16561,x16561),a72)),a5))
% 26.12/26.24 [1657]P3(f58(f57(a75,x16571),a1))+~P3(f58(f57(a75,f84(f84(x16571,x16571),a72)),a1))
% 26.12/26.24 [1658]P3(f58(f57(a75,x16581),a1))+~P3(f58(f57(a76,f84(f84(x16581,x16581),a72)),a1))
% 26.12/26.24 [1659]P3(f58(f57(a76,x16591),a5))+~P3(f58(f57(a76,f84(f84(x16591,x16591),a72)),a5))
% 26.12/26.24 [1729]~E(x17291,a104)+E(f60(f88(x17291),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a104)
% 26.12/26.24 [1758]E(f8(x17581),a72)+~E(f55(f87(x17581),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a72)
% 26.12/26.24 [1770]~P3(f58(f103(a72,f2(a5)),x17701))+~P3(f58(f57(a75,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x17701))
% 26.12/26.24 [1778]E(f68(f4(x17781),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f4(f69(x17781,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))+~P3(f58(f57(a75,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x17781))
% 26.12/26.24 [1776]E(x17761,a104)+P3(f62(f63(a80,a104),f60(f88(x17761),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [1785]~E(x17851,a104)+~P3(f62(f63(a80,a104),f60(f88(x17851),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [1788]~P3(f58(f57(a75,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x17881))+P3(f56(f59(a79,a105),f4(f69(x17881,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [1791]~P3(f62(f63(a80,f10(x17911)),a74))+P3(f62(f63(a80,f60(f88(x17911),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a74))
% 26.12/26.24 [1806]E(f66(f2(a5),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x18061),a72)),a72)+~P3(f58(a106,f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x18061),a72)))
% 26.12/26.24 [607]~E(x6072,a105)+E(f98(x6071,x6072),a105)
% 26.12/26.24 [609]~E(x6091,a105)+E(f98(x6091,x6092),a105)
% 26.12/26.24 [610]~E(x6102,a104)+E(f99(x6101,x6102),a104)
% 26.12/26.24 [611]~E(x6111,a104)+E(f99(x6111,x6112),a104)
% 26.12/26.24 [612]~E(x6122,a104)+E(f85(x6121,x6122),x6121)
% 26.12/26.24 [613]~E(x6132,a105)+E(f86(x6131,x6132),x6131)
% 26.12/26.24 [618]~E(x6181,x6182)+E(f70(x6181,x6182),a104)
% 26.12/26.24 [663]E(x6631,a73)+~E(f98(x6632,x6631),a73)
% 26.12/26.24 [665]E(x6651,a73)+~E(f98(x6651,x6652),a73)
% 26.12/26.24 [666]E(x6661,a105)+~E(f86(x6662,x6661),a105)
% 26.12/26.24 [667]E(x6671,a105)+~E(f86(x6671,x6672),a105)
% 26.12/26.24 [672]E(x6721,x6722)+~E(f70(x6721,x6722),a104)
% 26.12/26.24 [673]~E(f85(x6732,x6731),x6732)+E(x6731,a104)
% 26.12/26.24 [675]~E(f86(x6752,x6751),x6752)+E(x6751,a105)
% 26.12/26.24 [717]~P1(x7172)+P2(f58(x7171,x7172))
% 26.12/26.24 [728]P1(f38(x7281))+P3(f56(x7281,x7282))
% 26.12/26.24 [731]E(x7311,x7312)+~E(f55(a92,x7311),f55(a92,x7312))
% 26.12/26.24 [732]E(x7321,x7322)+~E(f60(a93,x7321),f60(a93,x7322))
% 26.12/26.24 [733]E(x7331,x7332)+~E(f61(a94,x7331),f61(a94,x7332))
% 26.12/26.24 [778]P1(f51(x7781))+~P3(f56(x7781,x7782))
% 26.12/26.24 [786]~P1(x7862)+E(f65(a37,x7861,x7862),x7862)
% 26.12/26.24 [787]~P1(x7871)+E(f65(a53,x7871,x7872),x7871)
% 26.12/26.24 [652]~E(x6522,a105)+E(f61(f89(x6521),x6522),a73)
% 26.12/26.24 [653]~E(x6531,a73)+E(f61(f89(x6531),x6532),a73)
% 26.12/26.24 [704]E(x7041,a104)+~E(f60(f88(x7041),x7042),a104)
% 26.12/26.24 [706]E(x7061,a105)+~E(f61(f89(x7061),x7062),a105)
% 26.12/26.24 [709]~E(x7091,a105)+~E(f60(f88(x7092),x7091),a104)
% 26.12/26.24 [711]~E(x7111,a105)+~E(f61(f89(x7112),x7111),a105)
% 26.12/26.24 [718]~E(f55(a92,x7181),f2(x7182))+E(x7181,f4(f2(x7182)))
% 26.12/26.24 [765]~P1(x7651)+E(f69(f84(x7651,x7652),x7652),x7651)
% 26.12/26.24 [766]~P1(x7661)+E(f84(f69(x7661,x7662),x7662),x7661)
% 26.12/26.24 [773]E(f8(x7731),a72)+~E(f8(f97(x7731,x7732)),a72)
% 26.12/26.24 [804]~E(x8041,x8042)+P3(f56(f59(a77,x8041),x8042))
% 26.12/26.24 [810]~E(x8101,x8102)+P3(f56(f59(a9,x8101),x8102))
% 26.12/26.24 [811]~E(x8111,x8112)+P3(f62(f63(a78,x8111),x8112))
% 26.12/26.24 [818]P1(f12(x8181))+P3(f58(x8181,f55(a92,x8182)))
% 26.12/26.24 [825]P1(f30(x8251,x8252))+~P3(f58(f90(x8251),x8252))
% 26.12/26.24 [827]~E(f68(x8271,x8272),a105)+P3(f56(f59(a77,x8271),x8272))
% 26.12/26.24 [830]E(x8301,a104)+~E(f85(f99(x8302,x8302),f99(x8301,x8301)),a104)
% 26.12/26.24 [831]E(x8311,a104)+~E(f85(f99(x8311,x8311),f99(x8312,x8312)),a104)
% 26.12/26.24 [833]~E(f55(a92,x8332),f2(x8331))+P3(f58(f57(a76,a81),f2(x8331)))
% 26.12/26.24 [835]P3(f56(x8351,x8352))+P3(f58(f57(a76,a81),f38(x8351)))
% 26.12/26.24 [839]E(f86(x8391,f68(x8392,x8391)),x8392)+P3(f56(f59(a79,x8392),x8391))
% 26.12/26.24 [846]~E(x8461,a105)+~P3(f56(f59(a79,x8462),x8461))
% 26.12/26.24 [852]~E(x8521,x8522)+~P3(f56(f59(a79,x8521),x8522))
% 26.12/26.24 [853]~E(x8531,x8532)+~P3(f62(f63(a80,x8531),x8532))
% 26.12/26.24 [858]~P3(f56(x8581,x8582))+P3(f58(f57(a76,a81),f51(x8581)))
% 26.12/26.24 [859]P1(f13(x8591))+~P3(f58(x8591,f55(a92,x8592)))
% 26.12/26.24 [862]E(f66(x8621,x8622),a81)+~P3(f58(f103(x8621,a81),x8622))
% 26.12/26.24 [864]E(f68(x8641,x8642),a105)+~P3(f56(f59(a77,x8641),x8642))
% 26.12/26.24 [882]P1(f39(x8821,x8822))+~P3(f58(f57(a75,a81),x8822))
% 26.12/26.24 [884]~P3(f58(x8841,f12(x8841)))+P3(f58(x8841,f55(a92,x8842)))
% 26.12/26.24 [896]P3(f58(f57(a76,x8962),x8961))+P3(f58(f57(a76,x8961),x8962))
% 26.12/26.24 [897]P3(f56(f59(a77,x8972),x8971))+P3(f56(f59(a77,x8971),x8972))
% 26.12/26.24 [898]P3(f62(f63(a78,x8982),x8981))+P3(f62(f63(a78,x8981),x8982))
% 26.12/26.24 [906]P3(f58(f57(a76,a81),f12(x9061)))+P3(f58(x9061,f55(a92,x9062)))
% 26.12/26.24 [911]E(f86(x9111,f25(x9111,x9112)),x9112)+~P3(f56(f59(a77,x9111),x9112))
% 26.12/26.24 [912]E(f86(x9121,f68(x9122,x9121)),x9122)+~P3(f56(f59(a77,x9121),x9122))
% 26.12/26.24 [913]E(f86(x9131,f40(x9131,x9132)),x9132)+~P3(f56(f59(a79,x9131),x9132))
% 26.12/26.24 [914]E(f68(x9141,f68(x9141,x9142)),x9142)+~P3(f56(f59(a77,x9142),x9141))
% 26.12/26.24 [915]E(f86(f68(x9151,x9152),x9152),x9151)+~P3(f56(f59(a77,x9152),x9151))
% 26.12/26.24 [918]P3(f58(x9181,f13(x9181)))+~P3(f58(x9181,f55(a92,x9182)))
% 26.12/26.24 [925]E(f98(f4(x9251),f4(x9252)),f4(f97(x9251,x9252)))+~P3(f58(f57(a76,a81),x9251))
% 26.12/26.24 [949]~P3(f58(f57(a11,x9492),x9491))+P3(f58(f103(x9491,a81),x9492))
% 26.12/26.24 [951]~P3(f58(f103(x9512,a81),x9511))+P3(f58(f57(a11,x9511),x9512))
% 26.12/26.24 [955]~P3(f56(f59(a79,x9551),x9552))+P3(f56(f59(a77,x9551),x9552))
% 26.12/26.24 [957]~P3(f62(f63(a80,x9571),x9572))+P3(f62(f63(a78,x9571),x9572))
% 26.12/26.24 [975]P3(f58(f57(a76,a81),f13(x9751)))+~P3(f58(x9751,f55(a92,x9752)))
% 26.12/26.24 [994]E(f69(f55(a92,x9941),f55(a92,x9942)),f55(a92,f68(x9941,x9942)))+~P3(f56(f59(a77,x9942),x9941))
% 26.12/26.24 [1027]~P3(f58(f57(a75,x10271),x10272))+P3(f58(f57(a75,f2(x10271)),f2(x10272)))
% 26.12/26.24 [1029]~P3(f58(f57(a76,x10291),x10292))+P3(f58(f57(a76,f2(x10291)),f2(x10292)))
% 26.12/26.24 [1030]~P3(f58(f57(a75,x10301),x10302))+P3(f62(f63(a80,f3(x10301)),f3(x10302)))
% 26.12/26.24 [1031]~P3(f58(f57(a76,x10311),x10312))+P3(f62(f63(a78,f3(x10311)),f3(x10312)))
% 26.12/26.24 [1051]~P3(f58(f57(a76,x10511),x10512))+P3(f58(f57(a75,x10511),f84(x10512,a72)))
% 26.12/26.24 [1052]~P3(f58(f57(a75,x10521),x10522))+P3(f58(f57(a76,x10521),f69(x10522,a72)))
% 26.12/26.24 [1053]P3(f56(f59(a79,a105),f68(x10531,x10532)))+~P3(f56(f59(a79,x10532),x10531))
% 26.12/26.24 [1054]P3(f56(f59(a79,a105),f40(x10541,x10542)))+~P3(f56(f59(a79,x10541),x10542))
% 26.12/26.24 [1068]P3(f58(f57(a75,a81),x10681))+~P3(f56(f59(a79,f4(x10682)),f4(x10681)))
% 26.12/26.24 [1075]~P3(f56(f59(a9,x10751),x10752))+P3(f56(f59(a9,x10751),f86(x10752,x10751)))
% 26.12/26.24 [1087]~P3(f58(f57(a75,f2(x10871)),f2(x10872)))+P3(f58(f57(a75,x10871),x10872))
% 26.12/26.24 [1088]~P3(f56(f59(a79,f4(x10881)),f4(x10882)))+P3(f58(f57(a75,x10881),x10882))
% 26.12/26.24 [1089]~P3(f62(f63(a80,f3(x10891)),f3(x10892)))+P3(f58(f57(a75,x10891),x10892))
% 26.12/26.24 [1091]~P3(f58(f57(a76,f2(x10911)),f2(x10912)))+P3(f58(f57(a76,x10911),x10912))
% 26.12/26.24 [1092]~P3(f62(f63(a78,f3(x10921)),f3(x10922)))+P3(f58(f57(a76,x10921),x10922))
% 26.12/26.24 [1112]P3(f56(f59(a79,a105),x11121))+~P3(f56(f59(a79,a105),f98(x11122,x11121)))
% 26.12/26.24 [1113]P3(f56(f59(a79,a105),x11131))+~P3(f56(f59(a79,a105),f98(x11131,x11132)))
% 26.12/26.24 [1117]P3(f58(f57(a75,x11171),x11172))+~P3(f58(f57(a76,x11171),f69(x11172,a72)))
% 26.12/26.24 [1118]P3(f58(f57(a76,x11181),x11182))+~P3(f58(f57(a75,x11181),f84(x11182,a72)))
% 26.12/26.24 [1119]~P3(f56(f59(a79,a105),f68(x11192,x11191)))+P3(f56(f59(a79,x11191),x11192))
% 26.12/26.24 [1128]~P3(f56(f59(a9,x11281),f86(x11282,x11281)))+P3(f56(f59(a9,x11281),x11282))
% 26.12/26.24 [1190]~P3(f56(f59(a79,x11901),x11902))+P3(f58(f57(a75,f55(a92,x11901)),f55(a92,x11902)))
% 26.12/26.24 [1193]~P3(f56(f59(a77,x11931),x11932))+P3(f58(f57(a76,f55(a92,x11931)),f55(a92,x11932)))
% 26.12/26.24 [1195]~P3(f56(f59(a9,x11951),x11952))+P3(f58(f57(a11,f55(a92,x11951)),f55(a92,x11952)))
% 26.12/26.24 [1197]~P3(f56(f59(a79,x11971),x11972))+P3(f56(f59(a79,f61(a94,x11971)),f61(a94,x11972)))
% 26.12/26.24 [1198]~P3(f56(f59(a77,x11981),x11982))+P3(f56(f59(a77,f61(a94,x11981)),f61(a94,x11982)))
% 26.12/26.24 [1200]~P3(f56(f59(a79,x12001),x12002))+P3(f62(f63(a80,f60(a93,x12001)),f60(a93,x12002)))
% 26.12/26.24 [1201]~P3(f56(f59(a77,x12011),x12012))+P3(f62(f63(a78,f60(a93,x12011)),f60(a93,x12012)))
% 26.12/26.24 [1261]~P3(f58(f57(a75,x12611),x12612))+P3(f58(f57(a75,f84(x12611,x12611)),f84(x12612,x12612)))
% 26.12/26.24 [1268]~P3(f58(f57(a76,x12681),x12682))+P3(f58(f57(a76,f84(x12681,x12681)),f84(x12682,x12682)))
% 26.12/26.24 [1390]P3(f56(f59(a79,x13901),x13902))+~P3(f58(f57(a75,f55(a92,x13901)),f55(a92,x13902)))
% 26.12/26.24 [1392]P3(f56(f59(a79,x13921),x13922))+~P3(f56(f59(a79,f61(a94,x13921)),f61(a94,x13922)))
% 26.12/26.24 [1394]P3(f56(f59(a79,x13941),x13942))+~P3(f62(f63(a80,f60(a93,x13941)),f60(a93,x13942)))
% 26.12/26.24 [1397]P3(f56(f59(a77,x13971),x13972))+~P3(f58(f57(a76,f55(a92,x13971)),f55(a92,x13972)))
% 26.12/26.24 [1398]P3(f56(f59(a77,x13981),x13982))+~P3(f56(f59(a77,f61(a94,x13981)),f61(a94,x13982)))
% 26.12/26.24 [1399]P3(f56(f59(a77,x13991),x13992))+~P3(f62(f63(a78,f60(a93,x13991)),f60(a93,x13992)))
% 26.12/26.24 [1401]P3(f56(f59(a9,x14011),x14012))+~P3(f58(f57(a11,f55(a92,x14011)),f55(a92,x14012)))
% 26.12/26.24 [1437]~P3(f58(f57(a75,f84(x14371,x14371)),f84(x14372,x14372)))+P3(f58(f57(a75,x14371),x14372))
% 26.12/26.24 [1443]~P3(f58(f57(a76,f84(x14431,x14431)),f84(x14432,x14432)))+P3(f58(f57(a76,x14431),x14432))
% 26.12/26.24 [1579]~P3(f58(f57(a75,x15791),x15792))+P3(f58(f57(a75,f84(f84(x15791,x15791),a72)),f84(x15792,x15792)))
% 26.12/26.24 [1581]~P3(f58(f57(a75,x15811),x15812))+P3(f58(f57(a76,f84(f84(x15811,x15811),a72)),f84(x15812,x15812)))
% 26.12/26.24 [1703]P3(f58(f57(a75,x17031),x17032))+~P3(f58(f57(a75,f84(f84(x17031,x17031),a72)),f84(x17032,x17032)))
% 26.12/26.24 [1705]P3(f58(f57(a75,x17051),x17052))+~P3(f58(f57(a76,f84(f84(x17051,x17051),a72)),f84(x17052,x17052)))
% 26.12/26.24 [829]E(x8291,a105)+E(f86(x8292,f98(f68(x8291,a73),x8292)),f98(x8291,x8292))
% 26.12/26.24 [836]~P3(f56(x8361,x8362))+P3(f56(x8361,f4(f51(x8361))))
% 26.12/26.24 [844]E(x8441,a105)+E(f98(x8442,f61(f89(x8442),f68(x8441,a73))),f61(f89(x8442),x8441))
% 26.12/26.24 [870]P3(f56(x8701,x8702))+~P3(f56(x8701,f4(f38(x8701))))
% 26.12/26.24 [892]~E(x8922,a105)+P3(f56(f59(a79,a105),f61(f89(x8921),x8922)))
% 26.12/26.24 [924]E(f98(f4(f2(x9241)),f4(f2(x9242))),a105)+~P3(f58(f57(a75,x9241),a1))
% 26.12/26.24 [930]E(f86(f4(f2(x9301)),f4(f2(x9302))),f4(f2(x9302)))+~P3(f58(f57(a75,x9301),a1))
% 26.12/26.24 [939]E(f4(f55(f87(x9391),x9392)),f61(f89(f4(x9391)),x9392))+~P3(f58(f57(a76,a81),x9391))
% 26.12/26.24 [940]E(f98(f4(f2(x9401)),f4(f2(x9402))),f4(f2(f97(x9401,x9402))))+P3(f58(f57(a75,x9401),a1))
% 26.12/26.24 [1014]E(f97(f55(f87(x10141),f68(x10142,a73)),x10141),f55(f87(x10141),x10142))+~P3(f56(f59(a79,a105),x10142))
% 26.12/26.24 [1015]E(f98(f61(f89(x10151),f68(x10152,a73)),x10151),f61(f89(x10151),x10152))+~P3(f56(f59(a79,a105),x10152))
% 26.12/26.24 [1016]E(f99(f60(f88(x10161),f68(x10162,a73)),x10161),f60(f88(x10161),x10162))+~P3(f56(f59(a79,a105),x10162))
% 26.12/26.24 [1097]~P3(f58(f57(a75,a81),x10971))+P3(f58(f57(a75,a81),f55(f87(x10971),x10972)))
% 26.12/26.24 [1098]~P3(f58(f57(a76,a81),x10981))+P3(f58(f57(a76,a81),f55(f87(x10981),x10982)))
% 26.12/26.24 [1101]~P3(f56(f59(a79,a105),x11011))+P3(f56(f59(a79,a105),f61(f89(x11011),x11012)))
% 26.12/26.24 [1102]~P3(f62(f63(a80,a104),x11021))+P3(f62(f63(a80,a104),f60(f88(x11021),x11022)))
% 26.12/26.24 [1136]~P3(f58(f57(a75,x11361),x11362))+P3(f58(f57(a76,f84(x11361,a72)),x11362))
% 26.12/26.24 [1154]~P3(f58(f57(a75,x11541),x11542))+P3(f58(f57(a75,f69(x11541,x11542)),a81))
% 26.12/26.24 [1155]~P3(f58(f57(a76,x11551),x11552))+P3(f58(f57(a76,f69(x11551,x11552)),a81))
% 26.12/26.24 [1156]~P3(f62(f63(a80,x11561),x11562))+P3(f62(f63(a80,f70(x11561,x11562)),a104))
% 26.12/26.24 [1158]~P3(f62(f63(a78,x11581),x11582))+P3(f62(f63(a78,f70(x11581,x11582)),a104))
% 26.12/26.24 [1161]~P3(f58(f57(a76,x11611),a1))+P3(f56(f59(a77,f4(f2(x11611))),f4(f2(x11612))))
% 26.12/26.24 [1167]~P3(f58(f57(a76,x11671),x11672))+P3(f56(f59(a77,f4(f2(x11671))),f4(f2(x11672))))
% 26.12/26.24 [1171]~P3(f56(f59(a79,x11711),f4(x11712)))+P3(f58(f57(a75,f55(a92,x11711)),x11712))
% 26.12/26.24 [1213]P3(f58(f57(a75,x12131),x12132))+~P3(f58(f57(a76,f84(x12131,a72)),x12132))
% 26.12/26.24 [1238]~P3(f56(f59(a9,x12381),f4(f8(x12382))))+P3(f58(f57(a11,f55(a92,x12381)),x12382))
% 26.12/26.24 [1300]P3(f56(f59(a79,x13001),f4(x13002)))+~P3(f58(f57(a75,f55(a92,x13001)),x13002))
% 26.12/26.24 [1308]P3(f58(f57(a75,x13081),x13082))+~P3(f58(f57(a75,f69(x13081,x13082)),a81))
% 26.12/26.24 [1309]P3(f58(f57(a76,x13091),x13092))+~P3(f58(f57(a76,f69(x13091,x13092)),a81))
% 26.12/26.24 [1310]P3(f62(f63(a80,x13101),x13102))+~P3(f62(f63(a80,f70(x13101,x13102)),a104))
% 26.12/26.24 [1312]P3(f62(f63(a78,x13121),x13122))+~P3(f62(f63(a78,f70(x13121,x13122)),a104))
% 26.12/26.24 [1340]P3(f58(f57(a75,x13401),x13402))+~P3(f56(f59(a79,f4(f2(x13401))),f4(f2(x13402))))
% 26.12/26.24 [1343]P3(f56(f59(a9,x13431),f4(f8(x13432))))+~P3(f58(f57(a11,f55(a92,x13431)),x13432))
% 26.12/26.24 [1468]~P3(f58(f57(a76,x14681),x14682))+P3(f58(f57(a75,f84(x14681,x14681)),f84(f84(x14682,x14682),a72)))
% 26.12/26.24 [1470]~P3(f58(f57(a76,x14701),x14702))+P3(f58(f57(a76,f84(x14701,x14701)),f84(f84(x14702,x14702),a72)))
% 26.12/26.24 [1627]P3(f58(f57(a76,x16271),x16272))+~P3(f58(f57(a75,f84(x16271,x16271)),f84(f84(x16272,x16272),a72)))
% 26.12/26.24 [1629]P3(f58(f57(a76,x16291),x16292))+~P3(f58(f57(a76,f84(x16291,x16291)),f84(f84(x16292,x16292),a72)))
% 26.12/26.24 [1645]~P3(f58(f57(a75,x16451),x16452))+P3(f58(f57(a75,f84(f84(x16451,x16451),a72)),f84(f84(x16452,x16452),a72)))
% 26.12/26.24 [1647]~P3(f58(f57(a76,x16471),x16472))+P3(f58(f57(a76,f84(f84(x16471,x16471),a72)),f84(f84(x16472,x16472),a72)))
% 26.12/26.24 [1713]P3(f58(f57(a75,x17131),x17132))+~P3(f58(f57(a75,f84(f84(x17131,x17131),a72)),f84(f84(x17132,x17132),a72)))
% 26.12/26.24 [1715]P3(f58(f57(a76,x17151),x17152))+~P3(f58(f57(a76,f84(f84(x17151,x17151),a72)),f84(f84(x17152,x17152),a72)))
% 26.12/26.24 [1104]~P3(f58(f57(a75,a81),x11042))+E(f97(x11041,f55(f87(x11041),f68(f4(x11042),a73))),f55(f87(x11041),f4(x11042)))
% 26.12/26.24 [1214]~P3(f58(f57(a11,x12141),f55(a92,x12142)))+P3(f56(f59(a9,f4(f8(x12141))),x12142))
% 26.12/26.24 [1317]P3(f58(f57(a11,x13171),f55(a92,x13172)))+~P3(f56(f59(a9,f4(f8(x13171))),x13172))
% 26.12/26.24 [1641]~P3(f58(f103(x16411,f69(x16412,a72)),x16412))+P3(f58(f103(f97(x16411,f69(x16412,a72)),a72),x16412))
% 26.12/26.24 [1701]P3(f58(f103(x17011,f69(x17012,a72)),x17012))+~P3(f58(f103(f97(x17011,f69(x17012,a72)),a72),x17012))
% 26.12/26.24 [1716]E(x17161,a104)+~P3(f62(f63(a78,f85(f99(x17162,x17162),f99(x17161,x17161))),a104))
% 26.12/26.24 [1717]E(x17171,a104)+~P3(f62(f63(a78,f85(f99(x17171,x17171),f99(x17172,x17172))),a104))
% 26.12/26.24 [1767]~E(f8(x17671),f8(x17672))+E(f55(f87(x17671),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x17672),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.24 [1769]E(f8(x17691),f8(x17692))+~E(f55(f87(x17691),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x17692),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))
% 26.12/26.24 [1780]E(x17801,a104)+~E(f85(f60(f88(x17802),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x17801),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a104)
% 26.12/26.24 [1782]E(x17821,a104)+~E(f85(f60(f88(x17821),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x17822),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a104)
% 26.12/26.24 [1787]~P3(f58(f57(a75,a81),x17872))+P3(f58(f57(a76,f97(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),f8(f69(x17871,f97(f39(x17871,x17872),x17872))))),x17872))
% 26.12/26.24 [1792]~P3(f58(f90(x17921),x17922))+P3(f58(f103(f55(f87(f30(x17921,x17922)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),x17922),x17921))
% 26.12/26.24 [1795]E(x17951,a104)+P3(f62(f63(a80,a104),f85(f60(f88(x17952),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x17951),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))
% 26.12/26.24 [1796]E(x17961,a104)+P3(f62(f63(a80,a104),f85(f60(f88(x17961),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x17962),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))
% 26.12/26.24 [689]~E(x6892,a105)+E(f98(x6891,x6892),f98(x6893,x6892))
% 26.12/26.24 [691]~E(x6911,a105)+E(f98(x6911,x6912),f98(x6911,x6913))
% 26.12/26.24 [749]E(x7491,x7492)+~E(f85(x7493,x7491),f85(x7493,x7492))
% 26.12/26.24 [753]E(x7531,x7532)+~E(f86(x7533,x7531),f86(x7533,x7532))
% 26.12/26.24 [755]E(x7551,x7552)+~E(f85(x7551,x7553),f85(x7552,x7553))
% 26.12/26.24 [758]E(x7581,x7582)+~E(f86(x7581,x7583),f86(x7582,x7583))
% 26.12/26.24 [828]~E(x8282,f86(x8281,x8283))+P3(f56(f59(a77,x8281),x8282))
% 26.12/26.24 [843]P3(x8431)+E(f4(f65(x8431,x8432,x8433)),f4(x8433))
% 26.12/26.24 [847]~P3(x8471)+E(f4(f65(x8471,x8472,x8473)),f4(x8472))
% 26.12/26.24 [871]P3(x8711)+E(f55(a92,f64(x8711,x8712,x8713)),f55(a92,x8713))
% 26.12/26.24 [877]~P3(x8771)+E(f55(a92,f64(x8771,x8772,x8773)),f55(a92,x8772))
% 26.12/26.24 [971]E(f68(f86(x9711,x9712),x9713),f68(x9711,f68(x9713,x9712)))+~P3(f56(f59(a77,x9712),x9713))
% 26.12/26.24 [972]E(f86(x9721,f68(x9722,x9723)),f68(f86(x9721,x9722),x9723))+~P3(f56(f59(a77,x9723),x9722))
% 26.12/26.24 [974]E(f86(f68(x9741,x9742),x9743),f68(f86(x9741,x9743),x9742))+~P3(f56(f59(a77,x9742),x9741))
% 26.12/26.24 [981]~P3(f58(f103(x9812,x9811),x9813))+P3(f58(f103(x9811,x9812),x9813))
% 26.12/26.24 [1034]~E(x10342,a105)+P3(f56(f59(a9,f98(x10341,x10342)),f98(x10343,x10342)))
% 26.12/26.24 [1035]~E(x10351,a105)+P3(f56(f59(a9,f98(x10351,x10352)),f98(x10351,x10353)))
% 26.12/26.24 [1071]~P3(f56(f59(a79,x10711),x10713))+P3(f56(f59(a79,x10711),f86(x10712,x10713)))
% 26.12/26.24 [1072]~P3(f56(f59(a79,x10721),x10722))+P3(f56(f59(a79,x10721),f86(x10722,x10723)))
% 26.12/26.24 [1073]~P3(f56(f59(a77,x10731),x10733))+P3(f56(f59(a77,x10731),f86(x10732,x10733)))
% 26.12/26.24 [1074]~P3(f56(f59(a77,x10741),x10742))+P3(f56(f59(a77,x10741),f86(x10742,x10743)))
% 26.12/26.24 [1103]~P3(f58(f103(x11032,x11033),x11031))+P3(f58(f57(a11,x11031),f69(x11032,x11033)))
% 26.12/26.24 [1131]P3(f58(f103(x11311,x11312),x11313))+~P3(f58(f57(a11,x11313),f69(x11311,x11312)))
% 26.12/26.24 [1164]P3(f56(f59(a79,a105),x11641))+P3(f56(f59(a77,f98(x11642,x11641)),f98(x11643,x11641)))
% 26.12/26.24 [1165]P3(f56(f59(a79,a105),x11651))+P3(f56(f59(a77,f98(x11651,x11652)),f98(x11651,x11653)))
% 26.12/26.24 [1256]~P3(f58(f57(a75,x12562),x12563))+P3(f58(f57(a75,f84(x12561,x12562)),f84(x12561,x12563)))
% 26.12/26.24 [1259]~P3(f58(f57(a75,x12591),x12593))+P3(f58(f57(a75,f84(x12591,x12592)),f84(x12593,x12592)))
% 26.12/26.24 [1264]~P3(f58(f57(a76,x12642),x12643))+P3(f58(f57(a76,f84(x12641,x12642)),f84(x12641,x12643)))
% 26.12/26.24 [1266]~P3(f58(f57(a76,x12661),x12663))+P3(f58(f57(a76,f84(x12661,x12662)),f84(x12663,x12662)))
% 26.12/26.24 [1271]~P3(f56(f59(a79,x12712),x12713))+P3(f56(f59(a79,f86(x12711,x12712)),f86(x12711,x12713)))
% 26.12/26.24 [1274]~P3(f56(f59(a79,x12741),x12743))+P3(f56(f59(a79,f86(x12741,x12742)),f86(x12743,x12742)))
% 26.12/26.24 [1277]~P3(f56(f59(a77,x12772),x12773))+P3(f56(f59(a77,f86(x12771,x12772)),f86(x12771,x12773)))
% 26.12/26.24 [1280]~P3(f56(f59(a77,x12801),x12803))+P3(f56(f59(a77,f86(x12801,x12802)),f86(x12803,x12802)))
% 26.12/26.24 [1281]~P3(f56(f59(a77,x12813),x12812))+P3(f56(f59(a77,f68(x12811,x12812)),f68(x12811,x12813)))
% 26.12/26.24 [1282]~P3(f56(f59(a77,x12821),x12823))+P3(f56(f59(a77,f68(x12821,x12822)),f68(x12823,x12822)))
% 26.12/26.24 [1284]~P3(f56(f59(a77,x12842),x12843))+P3(f56(f59(a77,f98(x12841,x12842)),f98(x12841,x12843)))
% 26.12/26.24 [1286]~P3(f56(f59(a77,x12861),x12863))+P3(f56(f59(a77,f98(x12861,x12862)),f98(x12863,x12862)))
% 26.12/26.24 [1288]~P3(f56(f59(a9,x12882),x12883))+P3(f56(f59(a9,f98(x12881,x12882)),f98(x12881,x12883)))
% 26.12/26.24 [1290]~P3(f56(f59(a9,x12901),x12903))+P3(f56(f59(a9,f98(x12901,x12902)),f98(x12903,x12902)))
% 26.12/26.24 [1292]~P3(f62(f63(a80,x12922),x12923))+P3(f62(f63(a80,f85(x12921,x12922)),f85(x12921,x12923)))
% 26.12/26.24 [1294]~P3(f62(f63(a80,x12941),x12943))+P3(f62(f63(a80,f85(x12941,x12942)),f85(x12943,x12942)))
% 26.12/26.24 [1297]~P3(f62(f63(a78,x12972),x12973))+P3(f62(f63(a78,f85(x12971,x12972)),f85(x12971,x12973)))
% 26.12/26.24 [1299]~P3(f62(f63(a78,x12991),x12993))+P3(f62(f63(a78,f85(x12991,x12992)),f85(x12993,x12992)))
% 26.12/26.24 [1426]P3(f56(f59(a79,a105),x14261))+~P3(f56(f59(a79,f98(x14262,x14261)),f98(x14263,x14261)))
% 26.12/26.24 [1427]P3(f56(f59(a79,a105),x14271))+~P3(f56(f59(a79,f98(x14271,x14272)),f98(x14271,x14273)))
% 26.12/26.24 [1433]~P3(f58(f57(a75,f84(x14333,x14331)),f84(x14333,x14332)))+P3(f58(f57(a75,x14331),x14332))
% 26.12/26.24 [1435]~P3(f58(f57(a75,f84(x14351,x14353)),f84(x14352,x14353)))+P3(f58(f57(a75,x14351),x14352))
% 26.12/26.24 [1439]~P3(f58(f57(a76,f84(x14393,x14391)),f84(x14393,x14392)))+P3(f58(f57(a76,x14391),x14392))
% 26.12/26.24 [1441]~P3(f58(f57(a76,f84(x14411,x14413)),f84(x14412,x14413)))+P3(f58(f57(a76,x14411),x14412))
% 26.12/26.24 [1446]~P3(f56(f59(a79,f86(x14463,x14461)),f86(x14463,x14462)))+P3(f56(f59(a79,x14461),x14462))
% 26.12/26.24 [1448]~P3(f56(f59(a79,f86(x14481,x14483)),f86(x14482,x14483)))+P3(f56(f59(a79,x14481),x14482))
% 26.12/26.24 [1449]~P3(f56(f59(a79,f98(x14493,x14491)),f98(x14493,x14492)))+P3(f56(f59(a79,x14491),x14492))
% 26.12/26.24 [1450]~P3(f56(f59(a79,f98(x14501,x14503)),f98(x14502,x14503)))+P3(f56(f59(a79,x14501),x14502))
% 26.12/26.24 [1453]~P3(f56(f59(a77,f86(x14533,x14531)),f86(x14533,x14532)))+P3(f56(f59(a77,x14531),x14532))
% 26.12/26.24 [1455]~P3(f56(f59(a77,f86(x14551,x14553)),f86(x14552,x14553)))+P3(f56(f59(a77,x14551),x14552))
% 26.12/26.24 [1457]~P3(f62(f63(a80,f85(x14573,x14571)),f85(x14573,x14572)))+P3(f62(f63(a80,x14571),x14572))
% 26.12/26.24 [1459]~P3(f62(f63(a80,f85(x14591,x14593)),f85(x14592,x14593)))+P3(f62(f63(a80,x14591),x14592))
% 26.12/26.24 [1461]~P3(f62(f63(a78,f85(x14613,x14611)),f85(x14613,x14612)))+P3(f62(f63(a78,x14611),x14612))
% 26.12/26.24 [1463]~P3(f62(f63(a78,f85(x14631,x14633)),f85(x14632,x14633)))+P3(f62(f63(a78,x14631),x14632))
% 26.12/26.24 [1160]~P3(f56(f59(a79,x11601),x11603))+P3(f56(f59(a79,f68(x11601,x11602)),x11603))
% 26.12/26.24 [1253]~P3(f58(f57(a11,x12531),x12532))+P3(f58(f57(a11,x12531),f84(x12532,f97(x12531,x12533))))
% 26.12/26.24 [1254]~P3(f56(f59(a77,x12543),x12542))+P3(f56(f59(a77,x12541),f68(f86(x12542,x12541),x12543)))
% 26.12/26.24 [1324]P3(f56(f59(a79,x13241),x13242))+~P3(f56(f59(a79,f86(x13241,x13243)),x13242))
% 26.12/26.24 [1327]P3(f56(f59(a77,x13271),x13272))+~P3(f56(f59(a77,f86(x13273,x13271)),x13272))
% 26.12/26.24 [1328]P3(f56(f59(a77,x13281),x13282))+~P3(f56(f59(a77,f86(x13281,x13283)),x13282))
% 26.12/26.24 [1345]~P3(f56(f59(a79,x13451),f68(x13453,x13452)))+P3(f56(f59(a79,f86(x13451,x13452)),x13453))
% 26.12/26.24 [1346]~P3(f56(f59(a77,x13461),f86(x13463,x13462)))+P3(f56(f59(a77,f68(x13461,x13462)),x13463))
% 26.12/26.24 [1385]P3(f56(f59(a79,x13851),f68(x13852,x13853)))+~P3(f56(f59(a79,f86(x13851,x13853)),x13852))
% 26.12/26.24 [1386]P3(f56(f59(a77,x13861),f86(x13862,x13863)))+~P3(f56(f59(a77,f68(x13861,x13863)),x13862))
% 26.12/26.24 [1423]~P3(f56(f59(a9,x14231),x14233))+P3(f56(f59(a9,f61(f89(x14231),x14232)),f61(f89(x14233),x14232)))
% 26.12/26.24 [1431]P3(f58(f57(a11,x14311),x14312))+~P3(f58(f57(a11,x14311),f84(x14312,f97(x14311,x14313))))
% 26.12/26.24 [978]~P3(f58(f57(a75,x9781),a1))+E(f98(f4(f2(x9781)),f98(f4(f2(x9782)),x9783)),a105)
% 26.12/26.24 [1166]E(f98(f4(f2(x11661)),f98(f4(f2(x11662)),x11663)),f98(f4(f2(f97(x11661,x11662))),x11663))+P3(f58(f57(a75,x11661),a1))
% 26.12/26.24 [1748]~P3(f58(f57(a75,a81),x17483))+P3(f58(f57(a75,x17481),f84(x17482,f97(f84(f8(f69(x17482,x17481)),a72),x17483))))
% 26.12/26.24 [1768]~P3(f58(f57(a75,a81),x17683))+P3(f58(f57(a75,f69(x17681,f97(f84(f8(f69(x17681,x17682)),a72),x17683))),x17682))
% 26.12/26.24 [866]~E(x8661,x8663)+E(f85(f99(x8661,x8662),f99(x8663,x8664)),f85(f99(x8661,x8664),f99(x8663,x8662)))
% 26.12/26.24 [868]~E(x8681,x8683)+E(f86(f98(x8681,x8682),f98(x8683,x8684)),f86(f98(x8681,x8684),f98(x8683,x8682)))
% 26.12/26.24 [1414]~P3(f58(f103(x14141,x14143),x14144))+P3(f58(f103(f84(x14141,x14142),f84(x14143,x14142)),x14144))
% 26.12/26.24 [1415]~P3(f58(f103(x14152,x14153),x14154))+P3(f58(f103(f97(x14151,x14152),f97(x14151,x14153)),x14154))
% 26.12/26.24 [1416]~P3(f58(f103(x14161,x14163),x14164))+P3(f58(f103(f97(x14161,x14162),f97(x14163,x14162)),x14164))
% 26.12/26.24 [1558]~P3(f58(f103(x15581,x15583),x15584))+P3(f58(f103(f55(f87(x15581),x15582),f55(f87(x15583),x15582)),x15584))
% 26.12/26.24 [1710]~P3(f58(f103(f55(f87(x17101),x17102),a72),x17104))+P3(f58(f103(f55(f87(x17101),f98(x17102,x17103)),a72),x17104))
% 26.12/26.24 [995]~E(f85(f99(x9953,x9954),x9951),f85(f99(x9952,x9954),x9955))+E(x9951,f85(f99(f70(x9952,x9953),x9954),x9955))
% 26.12/26.24 [996]~E(f85(f99(x9961,x9963),x9964),f85(f99(x9962,x9963),x9965))+E(f85(f99(f70(x9961,x9962),x9963),x9964),x9965)
% 26.12/26.24 [1005]E(f85(f99(x10051,x10052),x10053),f85(f99(x10054,x10052),x10055))+~E(x10055,f85(f99(f70(x10051,x10054),x10052),x10053))
% 26.12/26.24 [1006]E(f85(f99(x10061,x10062),x10063),f85(f99(x10064,x10062),x10065))+~E(f85(f99(f70(x10061,x10064),x10062),x10063),x10065)
% 26.12/26.24 [1534]E(f68(f86(f98(x15341,x15342),x15343),f86(f98(x15344,x15342),x15345)),f68(x15343,f86(f98(f68(x15344,x15341),x15342),x15345)))+~P3(f56(f59(a77,x15341),x15344))
% 26.12/26.24 [1535]E(f68(f86(f98(x15351,x15352),x15353),f86(f98(x15354,x15352),x15355)),f68(f86(f98(f68(x15351,x15354),x15352),x15353),x15355))+~P3(f56(f59(a77,x15354),x15351))
% 26.12/26.24 [1731]P3(f58(f57(a75,f84(f97(x17311,x17312),x17313)),f84(f97(x17314,x17312),x17315)))+~P3(f58(f57(a75,x17313),f84(f97(f69(x17314,x17311),x17312),x17315)))
% 26.12/26.24 [1732]P3(f58(f57(a76,f84(f97(x17321,x17322),x17323)),f84(f97(x17324,x17322),x17325)))+~P3(f58(f57(a76,x17323),f84(f97(f69(x17324,x17321),x17322),x17325)))
% 26.12/26.24 [1733]P3(f62(f63(a80,f85(f99(x17331,x17332),x17333)),f85(f99(x17334,x17332),x17335)))+~P3(f62(f63(a80,x17333),f85(f99(f70(x17334,x17331),x17332),x17335)))
% 26.12/26.24 [1734]P3(f62(f63(a78,f85(f99(x17341,x17342),x17343)),f85(f99(x17344,x17342),x17345)))+~P3(f62(f63(a78,x17343),f85(f99(f70(x17344,x17341),x17342),x17345)))
% 26.12/26.24 [1740]~P3(f58(f57(a75,f84(f97(x17403,x17404),x17401)),f84(f97(x17402,x17404),x17405)))+P3(f58(f57(a75,x17401),f84(f97(f69(x17402,x17403),x17404),x17405)))
% 26.12/26.24 [1741]~P3(f58(f57(a76,f84(f97(x17413,x17414),x17411)),f84(f97(x17412,x17414),x17415)))+P3(f58(f57(a76,x17411),f84(f97(f69(x17412,x17413),x17414),x17415)))
% 26.12/26.24 [1742]~P3(f62(f63(a80,f85(f99(x17423,x17424),x17421)),f85(f99(x17422,x17424),x17425)))+P3(f62(f63(a80,x17421),f85(f99(f70(x17422,x17423),x17424),x17425)))
% 26.12/26.24 [1743]~P3(f62(f63(a78,f85(f99(x17433,x17434),x17431)),f85(f99(x17432,x17434),x17435)))+P3(f62(f63(a78,x17431),f85(f99(f70(x17432,x17433),x17434),x17435)))
% 26.12/26.24 [1751]~P3(f58(f57(a75,f84(f97(x17511,x17513),x17514)),f84(f97(x17512,x17513),x17515)))+P3(f58(f57(a75,f84(f97(f69(x17511,x17512),x17513),x17514)),x17515))
% 26.12/26.24 [1752]~P3(f58(f57(a76,f84(f97(x17521,x17523),x17524)),f84(f97(x17522,x17523),x17525)))+P3(f58(f57(a76,f84(f97(f69(x17521,x17522),x17523),x17524)),x17525))
% 26.12/26.24 [1753]~P3(f62(f63(a80,f85(f99(x17531,x17533),x17534)),f85(f99(x17532,x17533),x17535)))+P3(f62(f63(a80,f85(f99(f70(x17531,x17532),x17533),x17534)),x17535))
% 26.12/26.24 [1754]~P3(f62(f63(a78,f85(f99(x17541,x17543),x17544)),f85(f99(x17542,x17543),x17545)))+P3(f62(f63(a78,f85(f99(f70(x17541,x17542),x17543),x17544)),x17545))
% 26.12/26.24 [1759]P3(f58(f57(a75,f84(f97(x17591,x17592),x17593)),f84(f97(x17594,x17592),x17595)))+~P3(f58(f57(a75,f84(f97(f69(x17591,x17594),x17592),x17593)),x17595))
% 26.12/26.24 [1760]P3(f58(f57(a76,f84(f97(x17601,x17602),x17603)),f84(f97(x17604,x17602),x17605)))+~P3(f58(f57(a76,f84(f97(f69(x17601,x17604),x17602),x17603)),x17605))
% 26.12/26.24 [1761]P3(f62(f63(a80,f85(f99(x17611,x17612),x17613)),f85(f99(x17614,x17612),x17615)))+~P3(f62(f63(a80,f85(f99(f70(x17611,x17614),x17612),x17613)),x17615))
% 26.12/26.24 [1762]P3(f62(f63(a78,f85(f99(x17621,x17622),x17623)),f85(f99(x17624,x17622),x17625)))+~P3(f62(f63(a78,f85(f99(f70(x17621,x17624),x17622),x17623)),x17625))
% 26.12/26.24 [601]~P2(x6011)+E(x6011,a53)+E(x6011,a37)
% 26.12/26.24 [603]~P1(x6031)+~E(x6031,a72)+E(f8(x6031),a72)
% 26.12/26.24 [614]~P1(x6141)+~E(x6141,f2(a5))+E(f8(x6141),a72)
% 26.12/26.24 [655]~P1(x6551)+~E(a1,x6551)+E(f84(x6551,x6551),a1)
% 26.12/26.24 [656]~P1(x6561)+~E(x6561,a81)+E(f84(x6561,x6561),a81)
% 26.12/26.24 [657]~P1(x6571)+~E(x6571,a1)+E(f84(x6571,x6571),a1)
% 26.12/26.24 [695]~P1(x6951)+E(x6951,a81)+~E(f84(x6951,x6951),a81)
% 26.12/26.24 [696]~P1(x6961)+E(x6961,a1)+~E(f84(x6961,x6961),a1)
% 26.12/26.24 [697]~P1(x6971)+E(a1,x6971)+~E(f84(x6971,x6971),a1)
% 26.12/26.24 [767]~P1(x7671)+~E(a5,x7671)+E(f84(f84(x7671,x7671),a72),a5)
% 26.12/26.24 [768]~P1(x7681)+~E(x7681,a5)+E(f84(f84(x7681,x7681),a72),a5)
% 26.12/26.24 [790]~P1(x7901)+E(x7901,a5)+~E(f84(f84(x7901,x7901),a72),a5)
% 26.12/26.24 [791]~P1(x7911)+E(a5,x7911)+~E(f84(f84(x7911,x7911),a72),a5)
% 26.12/26.24 [823]~P1(x8231)+E(f55(a92,f4(x8231)),a81)+P3(f58(f57(a76,a81),x8231))
% 26.12/26.24 [845]~P1(x8451)+~P3(f58(a106,x8451))+P3(f58(f57(a75,a72),x8451))
% 26.12/26.24 [872]~P1(x8721)+E(f55(a92,f31(x8721)),x8721)+~P3(f58(f57(a75,a81),x8721))
% 26.12/26.24 [874]~P1(x8741)+E(f55(a92,f4(x8741)),x8741)+~P3(f58(f57(a76,a81),x8741))
% 26.12/26.24 [969]~P1(x9691)+~P3(f58(f57(a75,a81),x9691))+P3(f56(f59(a79,a105),f31(x9691)))
% 26.12/26.24 [832]~P1(x8321)+~E(x8321,a81)+P3(f58(f57(a75,f8(x8321)),a72))
% 26.12/26.24 [917]~P1(x9171)+E(x9171,a81)+~P3(f58(f57(a75,f8(x9171)),a72))
% 26.12/26.24 [1730]~P1(x17301)+~E(x17301,a81)+E(f55(f87(x17301),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a81)
% 26.12/26.24 [1777]~P1(x17771)+E(x17771,a81)+P3(f58(f57(a75,a81),f55(f87(x17771),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [1786]~P1(x17861)+~E(x17861,a81)+~P3(f58(f57(a75,a81),f55(f87(x17861),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))
% 26.12/26.24 [623]~E(x6232,a105)+~E(x6231,a105)+E(f86(x6231,x6232),a105)
% 26.12/26.24 [625]~E(x6252,a73)+~E(x6251,a73)+E(f98(x6251,x6252),a73)
% 26.12/26.24 [680]E(x6801,a104)+E(x6802,a104)+~E(f99(x6802,x6801),a104)
% 26.12/26.24 [683]E(x6831,a105)+E(x6832,a105)+~E(f98(x6832,x6831),a105)
% 26.12/26.24 [686]~E(f98(x6862,x6861),x6862)+E(x6861,a73)+E(x6862,a105)
% 26.12/26.24 [707]~P1(x7072)+E(x7071,f4(x7072))+~E(f55(a92,x7071),x7072)
% 26.12/26.24 [739]~P1(x7392)+~P1(x7391)+P1(f69(x7391,x7392))
% 26.12/26.24 [740]~P1(x7402)+~P1(x7401)+P1(f84(x7401,x7402))
% 26.12/26.24 [741]~P1(x7412)+~P1(x7411)+P1(f97(x7411,x7412))
% 26.12/26.24 [742]~P1(x7422)+~P1(x7421)+P1(f66(x7421,x7422))
% 26.12/26.24 [759]E(x7591,x7592)+~E(f68(x7592,x7591),a105)+~E(f68(x7591,x7592),a105)
% 26.12/26.24 [668]~E(x6682,a104)+E(x6681,a105)+E(f60(f88(x6682),x6681),a104)
% 26.12/26.24 [670]~E(x6702,a105)+E(x6701,a105)+E(f61(f89(x6702),x6701),a105)
% 26.12/26.24 [713]E(x7131,a105)+E(x7132,a73)+~E(f61(f89(x7132),x7131),a73)
% 26.12/26.24 [727]~P1(x7271)+E(x7271,a81)+~E(f55(f87(x7271),x7272),a81)
% 26.12/26.24 [734]~P1(x7342)+~E(x7341,a105)+~E(f55(f87(x7342),x7341),a81)
% 26.12/26.24 [793]~E(x7932,a104)+~E(x7931,a104)+E(f85(f99(x7931,x7931),f99(x7932,x7932)),a104)
% 26.12/26.24 [826]~P1(x8261)+~E(f55(a92,x8262),x8261)+P3(f58(f57(a76,a81),x8261))
% 26.12/26.24 [869]E(f66(x8691,x8692),f2(a5))+P3(f58(f90(x8692),x8691))+P3(f58(f103(x8691,a81),x8692))
% 26.12/26.24 [901]E(x9011,x9012)+P3(f56(f59(a79,x9012),x9011))+P3(f56(f59(a79,x9011),x9012))
% 26.12/26.24 [902]E(x9021,x9022)+P3(f62(f63(a80,x9022),x9021))+P3(f62(f63(a80,x9021),x9022))
% 26.12/26.24 [905]E(f66(x9051,x9052),a72)+~P3(f58(f90(x9052),x9051))+P3(f58(f103(x9051,a81),x9052))
% 26.12/26.24 [920]E(f55(a92,x9201),f2(x9202))+~E(x9201,f4(f2(x9202)))+~P3(f58(f57(a76,a81),f2(x9202)))
% 26.12/26.24 [923]~P3(f58(a101,x9232))+~P3(f58(a101,x9231))+P3(f58(a101,f97(x9231,x9232)))
% 26.12/26.24 [958]E(x9581,a105)+~P3(f56(f59(a9,x9582),x9581))+P3(f56(f59(a77,x9582),x9581))
% 26.12/26.24 [961]E(x9611,x9612)+P3(f56(f59(a79,x9611),x9612))+~P3(f56(f59(a77,x9611),x9612))
% 26.12/26.24 [963]E(x9631,x9632)+P3(f62(f63(a80,x9631),x9632))+~P3(f62(f63(a78,x9631),x9632))
% 26.12/26.24 [1055]E(x10551,x10552)+~P3(f56(f59(a77,x10552),x10551))+~P3(f56(f59(a77,x10551),x10552))
% 26.12/26.24 [1065]E(x10651,x10652)+~P3(f56(f59(a9,x10652),x10651))+~P3(f56(f59(a9,x10651),x10652))
% 26.12/26.24 [1066]E(x10661,x10662)+~P3(f62(f63(a78,x10662),x10661))+~P3(f62(f63(a78,x10661),x10662))
% 26.12/26.24 [1077]E(f8(x10771),f8(x10772))+~P3(f58(f57(a11,x10772),x10771))+~P3(f58(f57(a11,x10771),x10772))
% 26.12/26.24 [1120]~P3(f58(f57(a11,x11201),x11202))+P3(f58(f57(a76,x11201),x11202))+P3(f58(f57(a76,x11202),a81))
% 26.12/26.24 [1125]E(f86(f4(x11251),f4(x11252)),f4(f84(x11251,x11252)))+~P3(f58(f57(a76,a81),x11252))+~P3(f58(f57(a76,a81),x11251))
% 26.12/26.24 [1134]E(f68(f4(x11341),f4(x11342)),f4(f69(x11341,x11342)))+~P3(f58(f57(a76,a81),x11342))+~P3(f58(f57(a76,x11342),x11341))
% 26.12/26.24 [1169]~P3(f58(f57(a75,a81),x11692))+~P3(f58(f57(a11,x11691),x11692))+P3(f58(f57(a76,x11691),x11692))
% 26.12/26.24 [1170]~P3(f56(f59(a79,a105),x11702))+~P3(f56(f59(a9,x11701),x11702))+P3(f56(f59(a77,x11701),x11702))
% 26.12/26.24 [1185]~P3(f56(f59(a79,a105),f86(x11852,x11851)))+P3(f56(f59(a79,a105),x11851))+P3(f56(f59(a79,a105),x11852))
% 26.12/26.24 [1203]~P3(f58(f57(a76,a81),f97(x12032,x12031)))+P3(f58(f57(a76,a81),x12032))+P3(f58(f57(a76,x12031),a81))
% 26.12/26.24 [1204]~P3(f58(f57(a76,a81),f97(x12041,x12042)))+P3(f58(f57(a76,a81),x12042))+P3(f58(f57(a76,x12041),a81))
% 26.12/26.24 [1207]~P3(f62(f63(a78,a104),f99(x12072,x12071)))+P3(f62(f63(a78,a104),x12072))+P3(f62(f63(a78,x12071),a104))
% 26.12/26.24 [1208]~P3(f62(f63(a78,a104),f99(x12081,x12082)))+P3(f62(f63(a78,a104),x12082))+P3(f62(f63(a78,x12081),a104))
% 26.12/26.24 [1217]~P3(f58(f57(a76,a81),x12172))+~P3(f58(f57(a76,a81),x12171))+P3(f58(f57(a76,a81),f84(x12171,x12172)))
% 26.12/26.24 [1221]~P3(f58(f57(a76,a81),x12212))+~P3(f58(f57(a76,a81),x12211))+P3(f58(f57(a76,a81),f97(x12211,x12212)))
% 26.12/26.24 [1223]~P3(f56(f59(a79,a105),x12232))+~P3(f56(f59(a79,a105),x12231))+P3(f56(f59(a79,a105),f98(x12231,x12232)))
% 26.12/26.24 [1226]~P3(f62(f63(a80,a104),x12262))+~P3(f62(f63(a80,a104),x12261))+P3(f62(f63(a80,a104),f99(x12261,x12262)))
% 26.12/26.24 [1227]~P3(f56(f59(a79,a105),x12272))+~P3(f62(f63(a80,a104),x12271))+P3(f62(f63(a80,a104),f47(x12271,x12272)))
% 26.12/26.24 [1228]~P3(f56(f59(a79,a105),x12282))+~P3(f62(f63(a80,a104),x12281))+P3(f62(f63(a80,a104),f50(x12281,x12282)))
% 26.12/26.24 [1231]~P3(f62(f63(a78,a104),x12311))+~P3(f62(f63(a78,a104),x12312))+P3(f62(f63(a78,a104),f99(x12311,x12312)))
% 26.12/26.24 [1233]~P3(f58(f57(a75,a81),x12332))+~P3(f58(f57(a75,x12331),x12332))+P3(f56(f59(a79,f4(x12331)),f4(x12332)))
% 26.12/26.24 [1234]~P3(f58(f57(a76,a81),x12341))+~P3(f58(f57(a75,x12341),x12342))+P3(f56(f59(a79,f4(x12341)),f4(x12342)))
% 26.12/26.24 [1235]~P3(f58(f57(a75,a81),x12351))+~P3(f58(f57(a76,x12351),x12352))+P3(f56(f59(a77,f4(x12351)),f4(x12352)))
% 26.12/26.24 [1236]~P3(f58(f57(a76,a81),x12362))+~P3(f58(f57(a76,x12361),x12362))+P3(f56(f59(a77,f4(x12361)),f4(x12362)))
% 26.12/26.24 [1241]~P3(f58(f57(a75,a81),x12411))+~P3(f58(f57(a75,x12411),x12412))+~P3(f58(f103(x12411,a81),x12412))
% 26.12/26.24 [1242]~P3(f58(f57(a75,a81),x12421))+~P3(f58(f57(a11,x12422),x12421))+~P3(f58(f57(a75,x12421),x12422))
% 26.12/26.24 [1243]~P3(f56(f59(a79,a105),x12431))+~P3(f56(f59(a9,x12432),x12431))+~P3(f56(f59(a79,x12431),x12432))
% 26.12/26.24 [1303]P3(f58(f57(a76,a81),f97(x13031,x13032)))+~P3(f58(f57(a76,x13032),a81))+~P3(f58(f57(a76,x13031),a81))
% 26.12/26.24 [1306]P3(f62(f63(a78,a104),f99(x13061,x13062)))+~P3(f62(f63(a78,x13062),a104))+~P3(f62(f63(a78,x13061),a104))
% 26.12/26.24 [1333]~P3(f58(f57(a75,a81),x13331))+~P3(f56(f59(a77,f4(x13331)),f4(x13332)))+P3(f58(f57(a76,x13331),x13332))
% 26.12/26.24 [1334]~P3(f58(f57(a76,a81),x13342))+~P3(f56(f59(a77,f4(x13341)),f4(x13342)))+P3(f58(f57(a76,x13341),x13342))
% 26.12/26.24 [1341]~P3(f58(f57(a75,a81),f97(x13412,x13411)))+P3(f58(f57(a75,a81),x13411))+~P3(f58(f57(a75,a81),x13412))
% 26.12/26.24 [929]~E(x9292,a105)+P3(f58(f57(a76,a81),x9291))+P3(f56(f59(a9,f4(x9291)),x9292))
% 26.12/26.24 [993]~P1(x9932)+E(f84(x9931,f55(a92,f16(x9931,x9932))),x9932)+~P3(f58(f57(a76,x9931),x9932))
% 26.12/26.24 [1017]E(x10171,a105)+P3(f58(f57(a76,a81),x10172))+~P3(f56(f59(a9,f4(x10172)),x10171))
% 26.12/26.24 [1078]E(f86(f4(f2(x10781)),f4(f2(x10782))),f4(f2(x10781)))+P3(f58(f57(a75,x10781),a1))+~P3(f58(f57(a75,x10782),a1))
% 26.12/26.24 [1093]~P3(f56(x10931,x10932))+P3(f56(x10931,a105))+P3(f56(x10931,f86(f41(x10932,x10931),a73)))
% 26.12/26.24 [1094]~P3(f56(x10941,x10942))+P3(f56(x10941,a105))+P3(f56(f59(a79,f41(x10942,x10941)),x10942))
% 26.12/26.24 [1105]E(f86(f4(f2(x11051)),f4(f2(x11052))),f4(f2(f84(x11051,x11052))))+P3(f58(f57(a75,x11051),a1))+P3(f58(f57(a75,x11052),a1))
% 26.12/26.24 [1147]~E(x11472,a73)+~P3(f56(f59(a79,a105),x11471))+P3(f56(f59(a9,f98(x11471,x11472)),x11471))
% 26.12/26.24 [1148]~E(x11481,a73)+~P3(f56(f59(a79,a105),x11482))+P3(f56(f59(a9,f98(x11481,x11482)),x11482))
% 26.12/26.24 [1149]E(f60(f88(f47(x11491,x11492)),x11492),x11491)+~P3(f56(f59(a79,a105),x11492))+~P3(f62(f63(a80,a104),x11491))
% 26.12/26.24 [1150]E(f60(f88(f50(x11501,x11502)),x11502),x11501)+~P3(f56(f59(a79,a105),x11502))+~P3(f62(f63(a80,a104),x11501))
% 26.12/26.24 [1151]~E(x11512,a105)+~P3(f58(f57(a11,x11511),f55(a92,x11512)))+P3(f56(f59(a9,f4(x11511)),x11512))
% 26.12/26.24 [1163]E(x11631,a105)+P3(f56(f59(a79,a105),x11632))+~P3(f56(f59(a79,a105),f61(f89(x11632),x11631)))
% 26.12/26.24 [1202]E(f98(f4(f2(x12021)),f4(f2(x12022))),f4(f2(f97(x12021,x12022))))+~P3(f58(f57(a76,a1),x12021))+~P3(f58(f57(a76,a1),x12022))
% 26.12/26.24 [1336]~P3(f56(f59(a79,a105),x13362))+~P3(f58(f57(a75,a72),x13361))+P3(f58(f57(a75,a72),f55(f87(x13361),x13362)))
% 26.12/26.24 [1337]~P3(f56(f59(a79,a105),x13372))+~P3(f56(f59(a79,a73),x13371))+P3(f56(f59(a79,a73),f61(f89(x13371),x13372)))
% 26.12/26.24 [1338]~P3(f56(f59(a79,a105),x13382))+~P3(f62(f63(a80,a74),x13381))+P3(f62(f63(a80,a74),f60(f88(x13381),x13382)))
% 26.12/26.24 [1349]~P3(f58(f57(a76,a81),x13491))+P3(f58(f57(a75,x13491),f55(a92,x13492)))+~P3(f56(f59(a79,f4(x13491)),x13492))
% 26.12/26.24 [1350]~P3(f58(f57(a76,a81),x13501))+P3(f58(f57(a11,x13501),f55(a92,x13502)))+~P3(f56(f59(a9,f4(x13501)),x13502))
% 26.12/26.24 [1355]E(x13551,a73)+~P3(f56(f59(a79,a105),x13552))+~P3(f56(f59(a9,f98(x13552,x13551)),x13552))
% 26.12/26.24 [1356]E(x13561,a73)+~P3(f56(f59(a79,a105),x13562))+~P3(f56(f59(a9,f98(x13561,x13562)),x13562))
% 26.12/26.24 [1360]~P3(f56(f59(a79,a105),x13601))+~P3(f56(f59(a79,a105),x13602))+P3(f56(f59(a79,f68(x13601,x13602)),x13601))
% 26.12/26.24 [1364]~P3(f58(f57(a76,a81),x13641))+~P3(f58(f57(a76,x13642),a81))+P3(f58(f57(a76,f97(x13641,x13642)),a81))
% 26.12/26.24 [1367]~P3(f58(f57(a76,a81),x13672))+~P3(f58(f57(a76,x13671),a81))+P3(f58(f57(a76,f97(x13671,x13672)),a81))
% 26.12/26.24 [1370]~P3(f56(f59(a77,a105),x13701))+~P3(f56(f59(a77,x13702),a105))+P3(f56(f59(a77,f98(x13701,x13702)),a105))
% 26.12/26.24 [1372]~P3(f56(f59(a77,a105),x13722))+~P3(f56(f59(a77,x13721),a105))+P3(f56(f59(a77,f98(x13721,x13722)),a105))
% 26.12/26.24 [1376]~P3(f62(f63(a78,a104),x13761))+~P3(f62(f63(a78,x13762),a104))+P3(f62(f63(a78,f99(x13761,x13762)),a104))
% 26.12/26.24 [1379]~P3(f62(f63(a78,a104),x13792))+~P3(f62(f63(a78,x13791),a104))+P3(f62(f63(a78,f99(x13791,x13792)),a104))
% 26.12/26.24 [1380]~P3(f58(f57(a76,a81),x13801))+~P3(f58(f57(a75,x13801),f55(a92,x13802)))+P3(f56(f59(a79,f4(x13801)),x13802))
% 26.12/26.24 [1381]~P3(f58(f57(a76,a81),x13811))+~P3(f58(f57(a11,x13811),f55(a92,x13812)))+P3(f56(f59(a9,f4(x13811)),x13812))
% 26.12/26.24 [1382]~P3(f58(f57(a75,x13822),a81))+~P3(f58(f57(a75,x13821),a81))+P3(f58(f57(a75,f84(x13821,x13822)),a81))
% 26.12/26.24 [1384]~P3(f62(f63(a80,x13842),a104))+~P3(f62(f63(a80,x13841),a104))+P3(f62(f63(a80,f85(x13841,x13842)),a104))
% 26.12/26.24 [1411]~P3(f58(f57(a75,a1),x14112))+~P3(f58(f57(a75,x14111),x14112))+P3(f56(f59(a79,f4(f2(x14111))),f4(f2(x14112))))
% 26.12/26.24 [1412]P3(f58(f57(a76,a81),x14121))+P3(f58(f57(a76,a81),x14122))+~P3(f58(f57(a76,f97(x14121,x14122)),a81))
% 26.12/26.24 [1413]P3(f62(f63(a78,a104),x14131))+P3(f62(f63(a78,a104),x14132))+~P3(f62(f63(a78,f99(x14131,x14132)),a104))
% 26.12/26.24 [1421]P3(f58(f57(a76,x14211),a81))+P3(f58(f57(a76,x14212),a81))+~P3(f58(f57(a76,f97(x14212,x14211)),a81))
% 26.12/26.24 [1422]P3(f62(f63(a78,x14221),a104))+P3(f62(f63(a78,x14222),a104))+~P3(f62(f63(a78,f99(x14222,x14221)),a104))
% 26.12/26.24 [1464]P3(f58(f57(a76,x14641),x14642))+P3(f58(f57(a76,x14641),a1))+~P3(f56(f59(a77,f4(f2(x14641))),f4(f2(x14642))))
% 26.12/26.24 [1533]P3(f58(f57(a75,a1),x15331))+~P3(f58(f57(a75,x15332),x15331))+~P3(f56(f59(a79,f4(f2(x15332))),f4(f2(x15331))))
% 26.12/26.24 [976]~P1(x9761)+E(x9761,a81)+P3(f58(f57(a75,a81),f55(f87(f8(x9761)),x9762)))
% 26.12/26.24 [977]~P1(x9771)+~E(x9772,a105)+P3(f58(f57(a75,a81),f55(f87(f8(x9771)),x9772)))
% 26.12/26.24 [1634]~E(x16342,a104)+~E(x16341,a104)+P3(f62(f63(a78,f85(f99(x16341,x16341),f99(x16342,x16342))),a104))
% 26.12/26.24 [1707]~P3(f58(a106,x17071))+P3(f58(f57(a11,x17071),x17072))+P3(f58(f103(f55(f87(x17072),f4(f69(x17071,a72))),a72),x17071))
% 26.12/26.24 [1771]~P3(f58(f103(x17711,a72),x17712))+~P3(f58(f103(x17711,f2(a5)),x17712))+~P3(f58(f57(a75,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x17712))
% 26.12/26.24 [1774]~E(x17742,a104)+~E(x17741,a104)+E(f85(f60(f88(x17741),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x17742),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a104)
% 26.12/26.24 [1804]~E(x18041,a104)+~E(x18042,a104)+~P3(f62(f63(a80,a104),f85(f60(f88(x18042),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(x18041),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))
% 26.12/26.24 [743]~P1(x7431)+~E(f69(x7431,x7433),x7432)+E(x7431,f84(x7432,x7433))
% 26.12/26.24 [760]E(x7601,x7602)+~E(f99(x7603,x7601),f99(x7603,x7602))+E(x7603,a104)
% 26.12/26.24 [762]E(x7621,x7622)+~E(f98(x7623,x7621),f98(x7623,x7622))+E(x7623,a105)
% 26.12/26.24 [763]E(x7631,x7632)+~E(f99(x7631,x7633),f99(x7632,x7633))+E(x7633,a104)
% 26.12/26.24 [764]E(x7641,x7642)+~E(f98(x7641,x7643),f98(x7642,x7643))+E(x7643,a105)
% 26.12/26.24 [885]~P1(x8852)+~E(x8852,f84(x8851,f55(a92,x8853)))+P3(f58(f57(a76,x8851),x8852))
% 26.12/26.24 [904]E(x9041,x9042)+~E(f98(x9043,x9041),f98(x9043,x9042))+~P3(f56(f59(a79,a105),x9043))
% 26.12/26.24 [907]~E(f68(x9071,x9073),x9072)+E(x9071,f86(x9072,x9073))+~P3(f56(f59(a77,x9073),x9071))
% 26.12/26.24 [908]~E(x9081,f86(x9083,x9082))+E(f68(x9081,x9082),x9083)+~P3(f56(f59(a77,x9082),x9081))
% 26.12/26.24 [931]E(x9311,x9312)+~E(f55(f87(x9313),x9311),f55(f87(x9313),x9312))+~P3(f58(f57(a75,a72),x9313))
% 26.12/26.24 [932]E(x9321,x9322)+~E(f60(f88(x9323),x9321),f60(f88(x9323),x9322))+~P3(f62(f63(a80,a74),x9323))
% 26.12/26.24 [933]E(x9331,x9332)+~E(f61(f89(x9333),x9331),f61(f89(x9333),x9332))+~P3(f56(f59(a79,a73),x9333))
% 26.12/26.24 [1069]E(f86(x10691,f18(x10692,x10693,x10691)),x10693)+~P3(f56(x10692,a105))+P3(f56(x10692,f68(x10693,x10691)))
% 26.12/26.24 [1070]E(f86(x10701,f19(x10702,x10703,x10701)),x10703)+~P3(f56(x10702,a105))+P3(f56(x10702,f68(x10703,x10701)))
% 26.12/26.24 [1076]~P1(x10762)+P1(f33(x10761,x10762,x10763))+~P3(f58(f103(x10761,x10762),x10763))
% 26.12/26.24 [1122]P3(f56(x11221,a105))+~P3(f56(x11221,f68(x11222,x11223)))+~P3(f56(f59(a79,x11222),x11223))
% 26.12/26.24 [1129]E(f86(x11291,f18(x11292,x11293,x11291)),x11293)+P3(f56(x11292,f68(x11293,x11291)))+P3(f56(f59(a79,x11293),x11291))
% 26.12/26.24 [1130]E(f86(x11301,f19(x11302,x11303,x11301)),x11303)+P3(f56(x11302,f68(x11303,x11301)))+P3(f56(f59(a79,x11303),x11301))
% 26.12/26.24 [1173]~P3(f58(f57(a76,x11731),x11733))+P3(f58(f57(a76,x11731),x11732))+~P3(f58(f57(a76,x11733),x11732))
% 26.12/26.24 [1174]~P3(f56(f59(a77,x11741),x11743))+P3(f56(f59(a77,x11741),x11742))+~P3(f56(f59(a77,x11743),x11742))
% 26.12/26.24 [1175]~P3(f56(f59(a9,x11751),x11753))+P3(f56(f59(a9,x11751),x11752))+~P3(f56(f59(a9,x11753),x11752))
% 26.12/26.24 [1176]~P3(f62(f63(a78,x11761),x11763))+P3(f62(f63(a78,x11761),x11762))+~P3(f62(f63(a78,x11763),x11762))
% 26.12/26.24 [1178]E(f68(f68(x11781,x11782),f68(x11783,x11782)),f68(x11781,x11783))+~P3(f56(f59(a77,x11782),x11781))+~P3(f56(f59(a77,x11782),x11783))
% 26.12/26.24 [1318]~P3(f58(f57(a75,a81),x13182))+~P3(f58(f57(a75,x13181),x13183))+P3(f58(f57(a75,x13181),f84(x13182,x13183)))
% 26.12/26.24 [1320]~P3(f62(f63(a80,a104),x13202))+~P3(f62(f63(a80,x13201),x13203))+P3(f62(f63(a80,x13201),f85(x13202,x13203)))
% 26.12/26.24 [1339]~P3(f56(f59(a9,x13391),x13392))+~P3(f56(f59(a9,x13391),x13393))+P3(f56(f59(a9,x13391),f68(x13392,x13393)))
% 26.12/26.24 [1358]~P3(f58(f57(a11,x13581),f69(x13582,x13583)))+~P3(f58(f57(a11,x13581),x13583))+P3(f58(f57(a11,x13581),x13582))
% 26.12/26.24 [1359]~P3(f56(f59(a9,x13591),f86(x13593,x13592)))+~P3(f56(f59(a9,x13591),x13593))+P3(f56(f59(a9,x13591),x13592))
% 26.12/26.24 [1465]E(x14651,a105)+~P3(f56(f59(a9,f98(x14652,x14651)),f98(x14653,x14651)))+P3(f56(f59(a9,x14652),x14653))
% 26.12/26.24 [1466]E(x14661,a105)+~P3(f56(f59(a9,f98(x14661,x14662)),f98(x14661,x14663)))+P3(f56(f59(a9,x14662),x14663))
% 26.12/26.24 [1480]~P3(f58(f57(a75,a81),x14801))+~P3(f58(f57(a75,x14802),x14803))+P3(f58(f57(a75,f97(x14801,x14802)),f97(x14801,x14803)))
% 26.12/26.24 [1481]~P3(f58(f57(a75,a81),x14812))+~P3(f58(f57(a75,x14811),x14813))+P3(f58(f57(a75,f97(x14811,x14812)),f97(x14813,x14812)))
% 26.12/26.24 [1482]~P3(f58(f57(a75,a81),x14821))+~P3(f58(f57(a76,x14822),x14823))+P3(f58(f57(a76,f97(x14821,x14822)),f97(x14821,x14823)))
% 26.12/26.24 [1484]~P3(f58(f57(a76,a81),x14841))+~P3(f58(f57(a76,x14842),x14843))+P3(f58(f57(a76,f97(x14841,x14842)),f97(x14841,x14843)))
% 26.12/26.24 [1485]~P3(f58(f57(a76,a81),x14852))+~P3(f58(f57(a76,x14851),x14853))+P3(f58(f57(a76,f97(x14851,x14852)),f97(x14853,x14852)))
% 26.12/26.24 [1489]~P3(f56(f59(a79,a105),x14892))+~P3(f56(f59(a79,x14891),x14893))+P3(f56(f59(a79,f98(x14891,x14892)),f98(x14893,x14892)))
% 26.12/26.24 [1490]~P3(f56(f59(a79,a105),x14901))+~P3(f56(f59(a79,x14902),x14903))+P3(f56(f59(a79,f98(x14901,x14902)),f98(x14901,x14903)))
% 26.12/26.24 [1497]~P3(f62(f63(a80,a104),x14972))+~P3(f62(f63(a80,x14971),x14973))+P3(f62(f63(a80,f99(x14971,x14972)),f99(x14973,x14972)))
% 26.12/26.24 [1498]~P3(f62(f63(a80,a104),x14981))+~P3(f62(f63(a80,x14982),x14983))+P3(f62(f63(a80,f99(x14981,x14982)),f99(x14981,x14983)))
% 26.12/26.24 [1500]~P3(f62(f63(a80,a104),x15001))+~P3(f62(f63(a78,x15002),x15003))+P3(f62(f63(a78,f99(x15001,x15002)),f99(x15001,x15003)))
% 26.12/26.24 [1502]~P3(f62(f63(a78,a104),x15021))+~P3(f62(f63(a78,x15022),x15023))+P3(f62(f63(a78,f99(x15021,x15022)),f99(x15021,x15023)))
% 26.12/26.24 [1503]~P3(f62(f63(a80,a104),x15032))+~P3(f62(f63(a78,x15031),x15033))+P3(f62(f63(a78,f99(x15031,x15032)),f99(x15033,x15032)))
% 26.12/26.24 [1504]~P3(f62(f63(a78,a104),x15042))+~P3(f62(f63(a78,x15041),x15043))+P3(f62(f63(a78,f99(x15041,x15042)),f99(x15043,x15042)))
% 26.12/26.24 [1505]~P3(f58(f57(a75,x15053),x15051))+P3(f58(f57(a75,f97(x15051,x15052)),f97(x15053,x15052)))+~P3(f58(f57(a75,x15052),a81))
% 26.12/26.24 [1506]~P3(f58(f57(a76,x15063),x15062))+P3(f58(f57(a76,f97(x15061,x15062)),f97(x15061,x15063)))+~P3(f58(f57(a75,x15061),a81))
% 26.12/26.24 [1507]~P3(f58(f57(a76,x15073),x15072))+P3(f58(f57(a76,f97(x15071,x15072)),f97(x15071,x15073)))+~P3(f58(f57(a76,x15071),a81))
% 26.12/26.24 [1508]~P3(f58(f57(a76,x15083),x15081))+P3(f58(f57(a76,f97(x15081,x15082)),f97(x15083,x15082)))+~P3(f58(f57(a76,x15082),a81))
% 26.12/26.24 [1509]~P3(f62(f63(a80,x15093),x15091))+P3(f62(f63(a80,f99(x15091,x15092)),f99(x15093,x15092)))+~P3(f62(f63(a80,x15092),a104))
% 26.12/26.24 [1510]~P3(f62(f63(a78,x15103),x15102))+P3(f62(f63(a78,f99(x15101,x15102)),f99(x15101,x15103)))+~P3(f62(f63(a80,x15101),a104))
% 26.12/26.24 [1511]~P3(f62(f63(a78,x15113),x15112))+P3(f62(f63(a78,f99(x15111,x15112)),f99(x15111,x15113)))+~P3(f62(f63(a78,x15111),a104))
% 26.12/26.24 [1512]~P3(f62(f63(a78,x15123),x15121))+P3(f62(f63(a78,f99(x15121,x15122)),f99(x15123,x15122)))+~P3(f62(f63(a78,x15122),a104))
% 26.12/26.24 [1520]~P3(f56(f59(a79,x15203),x15202))+~P3(f56(f59(a79,x15203),x15201))+P3(f56(f59(a79,f68(x15201,x15202)),f68(x15201,x15203)))
% 26.12/26.24 [1521]~P3(f56(f59(a79,x15211),x15213))+~P3(f56(f59(a77,x15212),x15211))+P3(f56(f59(a79,f68(x15211,x15212)),f68(x15213,x15212)))
% 26.12/26.24 [1543]P3(f58(f57(a75,a81),x15431))+~P3(f58(f57(a75,f97(x15432,x15431)),f97(x15433,x15431)))+P3(f58(f57(a75,x15431),a81))
% 26.12/26.24 [1544]P3(f62(f63(a80,a104),x15441))+~P3(f62(f63(a80,f99(x15442,x15441)),f99(x15443,x15441)))+P3(f62(f63(a80,x15441),a104))
% 26.12/26.24 [1545]~P3(f56(x15451,a105))+~P3(f56(x15451,f18(x15451,x15452,x15453)))+P3(f56(x15451,f68(x15452,x15453)))
% 26.12/26.24 [1546]~P3(f56(x15461,a105))+~P3(f56(x15461,f19(x15461,x15462,x15463)))+P3(f56(x15461,f68(x15462,x15463)))
% 26.12/26.24 [1548]P3(f58(f57(a75,a81),x15483))+~P3(f58(f57(a75,f97(x15482,x15483)),f97(x15481,x15483)))+P3(f58(f57(a75,x15481),x15482))
% 26.12/26.24 [1549]P3(f62(f63(a80,a104),x15493))+~P3(f62(f63(a80,f99(x15492,x15493)),f99(x15491,x15493)))+P3(f62(f63(a80,x15491),x15492))
% 26.12/26.24 [1551]~P3(f58(f57(a75,f97(x15511,x15513)),f97(x15512,x15513)))+P3(f58(f57(a75,x15511),x15512))+P3(f58(f57(a75,x15513),a81))
% 26.12/26.24 [1552]~P3(f62(f63(a80,f99(x15521,x15523)),f99(x15522,x15523)))+P3(f62(f63(a80,x15521),x15522))+P3(f62(f63(a80,x15523),a104))
% 26.12/26.24 [1559]P3(f58(f57(a75,x15592),x15591))+~P3(f58(f57(a75,f97(x15591,x15593)),f97(x15592,x15593)))+P3(f58(f57(a75,x15591),x15592))
% 26.12/26.24 [1560]P3(f62(f63(a80,x15602),x15601))+~P3(f62(f63(a80,f99(x15601,x15603)),f99(x15602,x15603)))+P3(f62(f63(a80,x15601),x15602))
% 26.12/26.24 [1576]~P3(f56(x15761,f18(x15761,x15762,x15763)))+P3(f56(x15761,f68(x15762,x15763)))+P3(f56(f59(a79,x15762),x15763))
% 26.12/26.24 [1577]~P3(f56(x15771,f19(x15771,x15772,x15773)))+P3(f56(x15771,f68(x15772,x15773)))+P3(f56(f59(a79,x15772),x15773))
% 26.12/26.24 [1586]~P3(f58(f57(a76,a81),x15863))+~P3(f58(f57(a75,f97(x15863,x15861)),f97(x15863,x15862)))+P3(f58(f57(a75,x15861),x15862))
% 26.12/26.24 [1588]~P3(f58(f57(a76,a81),x15883))+~P3(f58(f57(a75,f97(x15881,x15883)),f97(x15882,x15883)))+P3(f58(f57(a75,x15881),x15882))
% 26.12/26.24 [1590]~P3(f58(f57(a75,a81),x15903))+~P3(f58(f57(a76,f97(x15903,x15901)),f97(x15903,x15902)))+P3(f58(f57(a76,x15901),x15902))
% 26.12/26.24 [1591]~P3(f58(f57(a75,a81),x15913))+~P3(f58(f57(a76,f97(x15911,x15913)),f97(x15912,x15913)))+P3(f58(f57(a76,x15911),x15912))
% 26.12/26.24 [1599]~P3(f56(f59(a79,a105),x15993))+~P3(f56(f59(a77,f98(x15993,x15991)),f98(x15993,x15992)))+P3(f56(f59(a77,x15991),x15992))
% 26.12/26.24 [1601]~P3(f56(f59(a79,a105),x16013))+~P3(f56(f59(a77,f98(x16011,x16013)),f98(x16012,x16013)))+P3(f56(f59(a77,x16011),x16012))
% 26.12/26.24 [1603]~P3(f56(f59(a79,a105),x16033))+~P3(f56(f59(a9,f98(x16033,x16031)),f98(x16033,x16032)))+P3(f56(f59(a9,x16031),x16032))
% 26.12/26.24 [1605]~P3(f62(f63(a78,a104),x16053))+~P3(f62(f63(a80,f99(x16053,x16051)),f99(x16053,x16052)))+P3(f62(f63(a80,x16051),x16052))
% 26.12/26.24 [1606]~P3(f62(f63(a80,a104),x16063))+~P3(f62(f63(a80,f99(x16061,x16063)),f99(x16062,x16063)))+P3(f62(f63(a80,x16061),x16062))
% 26.12/26.24 [1608]~P3(f62(f63(a78,a104),x16083))+~P3(f62(f63(a80,f99(x16081,x16083)),f99(x16082,x16083)))+P3(f62(f63(a80,x16081),x16082))
% 26.12/26.24 [1611]~P3(f62(f63(a80,a104),x16113))+~P3(f62(f63(a78,f99(x16113,x16111)),f99(x16113,x16112)))+P3(f62(f63(a78,x16111),x16112))
% 26.12/26.24 [1613]~P3(f62(f63(a80,a104),x16133))+~P3(f62(f63(a78,f99(x16131,x16133)),f99(x16132,x16133)))+P3(f62(f63(a78,x16131),x16132))
% 26.12/26.24 [1614]~P3(f58(f57(a76,f97(x16143,x16142)),f97(x16143,x16141)))+P3(f58(f57(a76,x16141),x16142))+~P3(f58(f57(a75,x16143),a81))
% 26.12/26.24 [1615]~P3(f62(f63(a78,f99(x16153,x16152)),f99(x16153,x16151)))+P3(f62(f63(a78,x16151),x16152))+~P3(f62(f63(a80,x16153),a104))
% 26.12/26.24 [1159]~P3(f58(x11593,a81))+P3(f56(f59(a77,x11591),x11592))+P3(f58(x11593,f55(a92,f68(x11592,x11591))))
% 26.12/26.24 [1186]P3(f56(f59(a77,x11862),x11861))+P3(f56(f59(a79,x11861),x11862))+P3(f58(x11863,f55(a92,f68(x11861,x11862))))
% 26.12/26.24 [1329]~P3(f58(a106,x13291))+P3(f58(f57(a11,x13291),x13292))+~P3(f58(f57(a11,x13291),f55(f87(x13292),x13293)))
% 26.12/26.24 [1348]~P3(f56(f59(a79,a105),x13483))+~P3(f58(f57(a11,x13481),x13482))+P3(f58(f57(a11,x13481),f55(f87(x13482),x13483)))
% 26.12/26.24 [1351]~P1(x13513)+E(f84(x13511,f97(x13512,f33(x13511,x13513,x13512))),x13513)+~P3(f58(f103(x13511,x13513),x13512))
% 26.12/26.24 [1425]P3(f58(x14251,a81))+~P3(f56(f59(a79,x14252),x14253))+~P3(f58(x14251,f55(a92,f68(x14252,x14253))))
% 26.12/26.24 [1541]~P3(f56(f59(a77,x15412),x15413))+~P3(f56(f59(a77,x15411),f68(x15413,x15412)))+P3(f56(f59(a77,f86(x15411,x15412)),x15413))
% 26.12/26.24 [1563]~P3(f56(f59(a77,x15633),x15632))+P3(f56(f59(a77,x15631),f68(x15632,x15633)))+~P3(f56(f59(a77,f86(x15631,x15633)),x15632))
% 26.12/26.24 [1565]~P3(f58(f57(a75,a72),x15651))+~P3(f56(f59(a79,x15652),x15653))+P3(f58(f57(a75,f55(f87(x15651),x15652)),f55(f87(x15651),x15653)))
% 26.12/26.24 [1566]~P3(f58(f57(a75,a72),x15661))+~P3(f56(f59(a77,x15662),x15663))+P3(f58(f57(a76,f55(f87(x15661),x15662)),f55(f87(x15661),x15663)))
% 26.12/26.24 [1567]~P3(f58(f57(a76,a72),x15671))+~P3(f56(f59(a77,x15672),x15673))+P3(f58(f57(a76,f55(f87(x15671),x15672)),f55(f87(x15671),x15673)))
% 26.12/26.24 [1569]~P3(f56(f59(a79,a73),x15691))+~P3(f56(f59(a79,x15692),x15693))+P3(f56(f59(a79,f61(f89(x15691),x15692)),f61(f89(x15691),x15693)))
% 26.12/26.24 [1570]~P3(f56(f59(a79,a73),x15701))+~P3(f56(f59(a77,x15702),x15703))+P3(f56(f59(a77,f61(f89(x15701),x15702)),f61(f89(x15701),x15703)))
% 26.12/26.24 [1571]~P3(f56(f59(a77,x15712),x15713))+~P3(f56(f59(a77,a73),x15711))+P3(f56(f59(a77,f61(f89(x15711),x15712)),f61(f89(x15711),x15713)))
% 26.12/26.24 [1573]~P3(f62(f63(a80,a74),x15731))+~P3(f56(f59(a79,x15732),x15733))+P3(f62(f63(a80,f60(f88(x15731),x15732)),f60(f88(x15731),x15733)))
% 26.12/26.24 [1574]~P3(f62(f63(a80,a74),x15741))+~P3(f56(f59(a77,x15742),x15743))+P3(f62(f63(a78,f60(f88(x15741),x15742)),f60(f88(x15741),x15743)))
% 26.12/26.24 [1575]~P3(f62(f63(a78,a74),x15751))+~P3(f56(f59(a77,x15752),x15753))+P3(f62(f63(a78,f60(f88(x15751),x15752)),f60(f88(x15751),x15753)))
% 26.12/26.24 [1616]E(x16161,a105)+P3(f56(f59(a9,x16162),x16163))+~P3(f56(f59(a9,f61(f89(x16162),x16161)),f61(f89(x16163),x16161)))
% 26.12/26.24 [1643]~P3(f58(x16431,a81))+~P3(f58(x16431,f69(f55(a92,x16432),f55(a92,x16433))))+P3(f58(x16431,f55(a92,f68(x16432,x16433))))
% 26.12/26.24 [1661]~P3(f58(f57(a75,a72),x16613))+P3(f56(f59(a79,x16611),x16612))+~P3(f58(f57(a75,f55(f87(x16613),x16611)),f55(f87(x16613),x16612)))
% 26.12/26.24 [1663]~P3(f56(f59(a79,a73),x16633))+P3(f56(f59(a79,x16631),x16632))+~P3(f56(f59(a79,f61(f89(x16633),x16631)),f61(f89(x16633),x16632)))
% 26.12/26.24 [1664]~P3(f56(f59(a79,a105),x16643))+P3(f56(f59(a79,x16641),x16642))+~P3(f56(f59(a79,f61(f89(x16643),x16641)),f61(f89(x16643),x16642)))
% 26.12/26.24 [1666]~P3(f62(f63(a80,a74),x16663))+P3(f56(f59(a79,x16661),x16662))+~P3(f62(f63(a80,f60(f88(x16663),x16661)),f60(f88(x16663),x16662)))
% 26.12/26.24 [1668]~P3(f58(f57(a75,a72),x16683))+P3(f56(f59(a77,x16681),x16682))+~P3(f58(f57(a76,f55(f87(x16683),x16681)),f55(f87(x16683),x16682)))
% 26.12/26.24 [1670]~P3(f56(f59(a79,a73),x16703))+P3(f56(f59(a77,x16701),x16702))+~P3(f56(f59(a77,f61(f89(x16703),x16701)),f61(f89(x16703),x16702)))
% 26.12/26.24 [1671]~P3(f56(f59(a79,a73),x16713))+P3(f56(f59(a77,x16711),x16712))+~P3(f56(f59(a9,f61(f89(x16713),x16711)),f61(f89(x16713),x16712)))
% 26.12/26.24 [1673]~P3(f62(f63(a80,a74),x16733))+P3(f56(f59(a77,x16731),x16732))+~P3(f62(f63(a78,f60(f88(x16733),x16731)),f60(f88(x16733),x16732)))
% 26.12/26.24 [1674]~P3(f56(f59(a77,x16743),x16742))+P3(f58(x16741,f69(f55(a92,x16742),f55(a92,x16743))))+~P3(f58(x16741,f55(a92,f68(x16742,x16743))))
% 26.12/26.24 [1675]P3(f56(f59(a79,x16751),x16752))+~P3(f58(x16753,f69(f55(a92,x16751),f55(a92,x16752))))+P3(f58(x16753,f55(a92,f68(x16751,x16752))))
% 26.12/26.24 [1700]~P3(f56(f59(a79,a105),x17001))+~P3(f58(f57(a75,x17002),x17003))+P3(f58(f57(a75,f97(f55(a92,x17001),x17002)),f97(f55(a92,x17001),x17003)))
% 26.12/26.24 [1430]E(x14301,a105)+P3(f56(f59(a9,x14302),x14303))+~P3(f56(f59(a9,f61(f89(x14302),x14301)),x14303))
% 26.12/26.24 [1772]E(f55(f87(f2(a5)),x17721),f55(f87(f2(a5)),x17722))+~P3(f58(f103(f55(f87(f2(a5)),x17721),f55(f87(f2(a5)),x17722)),x17723))+~P3(f58(f57(a75,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x17723))
% 26.12/26.24 [1793]~P1(x17933)+P3(f58(f90(x17931),x17932))+~P3(f58(f103(f55(f87(x17933),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),x17932),x17931))
% 26.12/26.24 [1794]P3(f58(f103(x17941,a81),x17942))+~P3(f58(f57(a11,x17942),x17943))+~P3(f58(f103(f55(f87(x17943),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),x17941),x17942))
% 26.12/26.24 [770]E(x7701,x7702)+~E(x7703,x7704)+~E(f70(x7703,x7704),f70(x7701,x7702))
% 26.12/26.24 [937]~E(x9373,f86(x9374,x9372))+P3(f56(x9371,x9372))+~P3(f56(x9371,f68(x9373,x9374)))
% 26.12/26.24 [984]E(x9841,x9842)+E(x9843,x9844)+~E(f85(f99(x9843,x9841),f99(x9844,x9842)),f85(f99(x9843,x9842),f99(x9844,x9841)))
% 26.12/26.24 [985]E(x9851,x9852)+E(x9853,x9854)+~E(f86(f98(x9853,x9851),f98(x9854,x9852)),f86(f98(x9853,x9852),f98(x9854,x9851)))
% 26.12/26.24 [1040]~E(f69(x10403,x10404),f69(x10401,x10402))+~P3(f58(f57(a75,x10403),x10404))+P3(f58(f57(a75,x10401),x10402))
% 26.12/26.24 [1042]~E(f69(x10423,x10424),f69(x10421,x10422))+~P3(f58(f57(a76,x10423),x10424))+P3(f58(f57(a76,x10421),x10422))
% 26.12/26.24 [1043]~E(f86(x10433,x10432),f86(x10431,x10434))+~P3(f56(f59(a79,x10433),x10434))+P3(f56(f59(a79,x10431),x10432))
% 26.12/26.24 [1045]~E(f70(x10453,x10454),f70(x10451,x10452))+~P3(f62(f63(a80,x10453),x10454))+P3(f62(f63(a80,x10451),x10452))
% 26.12/26.24 [1047]~E(f70(x10473,x10474),f70(x10471,x10472))+~P3(f62(f63(a78,x10473),x10474))+P3(f62(f63(a78,x10471),x10472))
% 26.12/26.24 [1215]~P3(f58(f103(x12151,x12154),x12153))+P3(f58(f103(x12151,x12152),x12153))+~P3(f58(f103(x12154,x12152),x12153))
% 26.12/26.24 [1515]~P3(f58(f57(a75,x15152),x15154))+~P3(f58(f57(a75,x15151),x15153))+P3(f58(f57(a75,f84(x15151,x15152)),f84(x15153,x15154)))
% 26.12/26.24 [1516]~P3(f58(f57(a75,x15161),x15163))+~P3(f58(f57(a76,x15162),x15164))+P3(f58(f57(a75,f84(x15161,x15162)),f84(x15163,x15164)))
% 26.12/26.24 [1517]~P3(f58(f57(a76,x15172),x15174))+~P3(f58(f57(a76,x15171),x15173))+P3(f58(f57(a76,f84(x15171,x15172)),f84(x15173,x15174)))
% 26.12/26.24 [1519]~P3(f56(f59(a79,x15192),x15194))+~P3(f56(f59(a79,x15191),x15193))+P3(f56(f59(a79,f86(x15191,x15192)),f86(x15193,x15194)))
% 26.12/26.24 [1523]~P3(f56(f59(a77,x15232),x15234))+~P3(f56(f59(a77,x15231),x15233))+P3(f56(f59(a77,f86(x15231,x15232)),f86(x15233,x15234)))
% 26.12/26.24 [1524]~P3(f56(f59(a77,x15242),x15244))+~P3(f56(f59(a77,x15241),x15243))+P3(f56(f59(a77,f98(x15241,x15242)),f98(x15243,x15244)))
% 26.12/26.24 [1525]~P3(f62(f63(a80,x15252),x15254))+~P3(f62(f63(a80,x15251),x15253))+P3(f62(f63(a80,f85(x15251,x15252)),f85(x15253,x15254)))
% 26.12/26.24 [1526]~P3(f62(f63(a78,x15262),x15264))+~P3(f62(f63(a78,x15261),x15263))+P3(f62(f63(a78,f85(x15261,x15262)),f85(x15263,x15264)))
% 26.12/26.24 [998]~P1(x9981)+~E(f84(f97(x9983,x9984),x9981),f84(f97(x9982,x9984),x9985))+E(x9981,f84(f97(f69(x9982,x9983),x9984),x9985))
% 26.12/26.24 [999]~P1(x9995)+~E(f84(f97(x9991,x9993),x9994),f84(f97(x9992,x9993),x9995))+E(f84(f97(f69(x9991,x9992),x9993),x9994),x9995)
% 26.12/26.24 [1032]~P1(x10325)+E(f84(f97(x10321,x10322),x10323),f84(f97(x10324,x10322),x10325))+~E(x10325,f84(f97(f69(x10321,x10324),x10322),x10323))
% 26.12/26.24 [1033]~P1(x10335)+E(f84(f97(x10331,x10332),x10333),f84(f97(x10334,x10332),x10335))+~E(f84(f97(f69(x10331,x10334),x10332),x10333),x10335)
% 26.12/26.24 [1211]~E(f86(f98(x12113,x12114),x12111),f86(f98(x12112,x12114),x12115))+E(x12111,f86(f98(f68(x12112,x12113),x12114),x12115))+~P3(f56(f59(a77,x12113),x12112))
% 26.12/26.24 [1212]~E(f86(f98(x12121,x12123),x12124),f86(f98(x12122,x12123),x12125))+E(f86(f98(f68(x12121,x12122),x12123),x12124),x12125)+~P3(f56(f59(a77,x12122),x12121))
% 26.12/26.24 [1239]E(f86(f98(x12391,x12392),x12393),f86(f98(x12394,x12392),x12395))+~E(x12395,f86(f98(f68(x12391,x12394),x12392),x12393))+~P3(f56(f59(a77,x12394),x12391))
% 26.12/26.24 [1240]E(f86(f98(x12401,x12402),x12403),f86(f98(x12404,x12402),x12405))+~E(f86(f98(f68(x12401,x12404),x12402),x12403),x12405)+~P3(f56(f59(a77,x12404),x12401))
% 26.12/26.24 [1582]~P3(f58(f103(x15822,x15824),x15825))+~P3(f58(f103(x15821,x15823),x15825))+P3(f58(f103(f69(x15821,x15822),f69(x15823,x15824)),x15825))
% 26.12/26.24 [1583]~P3(f58(f103(x15832,x15834),x15835))+~P3(f58(f103(x15831,x15833),x15835))+P3(f58(f103(f84(x15831,x15832),f84(x15833,x15834)),x15835))
% 26.12/26.24 [1584]~P3(f58(f103(x15842,x15844),x15845))+~P3(f58(f103(x15841,x15843),x15845))+P3(f58(f103(f97(x15841,x15842),f97(x15843,x15844)),x15845))
% 26.12/26.24 [1636]~P3(f58(f103(x16362,x16365),x16364))+~P3(f58(f103(x16361,f97(x16365,x16363)),x16364))+P3(f58(f103(x16361,f97(x16362,x16363)),x16364))
% 26.12/26.24 [1637]~P3(f58(f103(x16375,x16372),x16374))+~P3(f58(f103(x16371,f97(x16375,x16373)),x16374))+P3(f58(f103(x16371,f97(x16372,x16373)),x16374))
% 26.12/26.24 [1638]~P3(f58(f103(x16383,x16385),x16384))+~P3(f58(f103(x16381,f97(x16382,x16385)),x16384))+P3(f58(f103(x16381,f97(x16382,x16383)),x16384))
% 26.12/26.24 [1639]~P3(f58(f103(x16395,x16393),x16394))+~P3(f58(f103(x16391,f97(x16392,x16395)),x16394))+P3(f58(f103(x16391,f97(x16392,x16393)),x16394))
% 26.12/26.24 [1706]~P3(f58(f57(a11,x17061),f84(x17062,x17065)))+~P3(f58(f57(a11,x17061),x17064))+P3(f58(f57(a11,x17061),f84(f84(x17062,f97(x17063,x17064)),x17065)))
% 26.12/26.24 [1718]~P3(f58(f57(a11,x17181),x17184))+P3(f58(f57(a11,x17181),f84(x17182,x17183)))+~P3(f58(f57(a11,x17181),f84(f84(x17182,f97(x17185,x17184)),x17183)))
% 26.12/26.24 [1744]~P3(f56(f59(a77,x17441),x17444))+P3(f56(f59(a79,f86(f98(x17441,x17442),x17443)),f86(f98(x17444,x17442),x17445)))+~P3(f56(f59(a79,x17443),f86(f98(f68(x17444,x17441),x17442),x17445)))
% 26.12/26.24 [1745]~P3(f56(f59(a77,x17451),x17454))+P3(f56(f59(a77,f86(f98(x17451,x17452),x17453)),f86(f98(x17454,x17452),x17455)))+~P3(f56(f59(a77,x17453),f86(f98(f68(x17454,x17451),x17452),x17455)))
% 26.12/26.24 [1746]~P3(f56(f59(a77,x17463),x17462))+~P3(f56(f59(a79,f86(f98(x17463,x17464),x17461)),f86(f98(x17462,x17464),x17465)))+P3(f56(f59(a79,x17461),f86(f98(f68(x17462,x17463),x17464),x17465)))
% 26.12/26.24 [1747]~P3(f56(f59(a77,x17473),x17472))+~P3(f56(f59(a77,f86(f98(x17473,x17474),x17471)),f86(f98(x17472,x17474),x17475)))+P3(f56(f59(a77,x17471),f86(f98(f68(x17472,x17473),x17474),x17475)))
% 26.12/26.24 [1755]~P3(f56(f59(a77,x17552),x17551))+~P3(f56(f59(a79,f86(f98(x17551,x17553),x17554)),f86(f98(x17552,x17553),x17555)))+P3(f56(f59(a79,f86(f98(f68(x17551,x17552),x17553),x17554)),x17555))
% 26.12/26.24 [1756]~P3(f56(f59(a77,x17562),x17561))+~P3(f56(f59(a77,f86(f98(x17561,x17563),x17564)),f86(f98(x17562,x17563),x17565)))+P3(f56(f59(a77,f86(f98(f68(x17561,x17562),x17563),x17564)),x17565))
% 26.12/26.24 [1764]~P3(f56(f59(a77,x17644),x17641))+P3(f56(f59(a79,f86(f98(x17641,x17642),x17643)),f86(f98(x17644,x17642),x17645)))+~P3(f56(f59(a79,f86(f98(f68(x17641,x17644),x17642),x17643)),x17645))
% 26.12/26.24 [1765]~P3(f56(f59(a77,x17654),x17651))+P3(f56(f59(a77,f86(f98(x17651,x17652),x17653)),f86(f98(x17654,x17652),x17655)))+~P3(f56(f59(a77,f86(f98(f68(x17651,x17654),x17652),x17653)),x17655))
% 26.12/26.24 [626]~P1(x6261)+E(x6261,a72)+E(x6261,f2(a5))+~E(f8(x6261),a72)
% 26.12/26.24 [895]~P1(x8951)+~E(f32(x8951),a72)+P3(f58(a106,x8951))+~P3(f58(f57(a75,a72),x8951))
% 26.12/26.24 [899]~P1(x8991)+~E(f32(x8991),x8991)+P3(f58(a106,x8991))+~P3(f58(f57(a75,a72),x8991))
% 26.12/26.24 [903]~P1(x9031)+P1(f32(x9031))+P3(f58(a106,x9031))+~P3(f58(f57(a75,a72),x9031))
% 26.12/26.24 [1011]~P1(x10111)+P3(f58(a106,x10111))+P3(f58(f57(a76,a81),f32(x10111)))+~P3(f58(f57(a75,a72),x10111))
% 26.12/26.24 [1067]~P1(x10671)+P3(f58(a106,x10671))+~P3(f58(f57(a75,a72),x10671))+P3(f58(f57(a11,f32(x10671)),x10671))
% 26.12/26.24 [687]~P1(x6872)+~P1(x6871)+E(x6871,x6872)+~E(f2(x6871),f2(x6872))
% 26.12/26.24 [688]~P1(x6882)+~P1(x6881)+E(x6881,x6882)+~E(f3(x6881),f3(x6882))
% 26.12/26.24 [692]~P1(x6921)+~P1(x6922)+~E(x6922,a81)+E(f97(x6921,x6922),a81)
% 26.12/26.24 [693]~P1(x6932)+~P1(x6931)+~E(x6931,a81)+E(f97(x6931,x6932),a81)
% 26.12/26.24 [699]~P1(x6991)+~P1(x6992)+~E(x6992,a81)+E(f84(x6991,x6992),x6991)
% 26.12/26.24 [701]~E(x7011,x7012)+~P1(x7012)+~P1(x7011)+E(f69(x7011,x7012),a81)
% 26.12/26.24 [712]~P1(x7121)+E(x7121,a72)+E(x7121,f2(a5))+~E(f97(x7121,x7122),a72)
% 26.12/26.24 [714]~P1(x7142)+~E(x7141,a105)+E(x7141,f4(x7142))+~E(x7142,f55(a92,x7141))
% 26.12/26.24 [715]~P1(x7151)+~E(x7152,a105)+E(f4(x7151),x7152)+~E(x7151,f55(a92,x7152))
% 26.12/26.24 [720]~P1(x7202)+~P1(x7201)+E(x7201,x7202)+~E(f69(x7201,x7202),a81)
% 26.12/26.24 [721]~P1(x7211)+~P1(x7212)+~E(f84(x7212,x7211),x7212)+E(x7211,a81)
% 26.12/26.24 [785]~P1(x7852)+~P1(x7851)+E(x7851,x7852)+~E(f84(x7851,x7851),f84(x7852,x7852))
% 26.12/26.24 [698]~P1(x6982)+~E(x6982,a81)+E(x6981,a105)+E(f55(f87(x6982),x6981),a81)
% 26.12/26.24 [814]~P1(x8142)+~E(x8141,a105)+E(x8141,f4(x8142))+P3(f58(f57(a76,a81),x8142))
% 26.12/26.24 [815]~P1(x8151)+~E(x8152,a105)+E(f4(x8151),x8152)+P3(f58(f57(a76,a81),x8151))
% 26.12/26.24 [819]~P1(x8192)+~E(x8191,f4(x8192))+E(x8191,a105)+P3(f58(f57(a76,a81),x8192))
% 26.12/26.24 [820]~P1(x8202)+~E(f4(x8202),x8201)+E(x8201,a105)+P3(f58(f57(a76,a81),x8202))
% 26.12/26.24 [824]~E(x8241,x8242)+~P1(x8242)+~P1(x8241)+P3(f58(f103(x8241,x8242),a81))
% 26.12/26.24 [860]~P1(x8602)+E(f55(a92,f15(x8601,x8602)),x8602)+~P3(f56(x8601,a105))+P3(f56(x8601,f4(x8602)))
% 26.12/26.24 [875]~P1(x8752)+~P1(x8751)+E(x8751,x8752)+~E(f84(f84(x8751,x8751),a72),f84(f84(x8752,x8752),a72))
% 26.12/26.24 [876]~P1(x8762)+~P1(x8761)+~E(x8761,x8762)+~P3(f58(f57(a75,x8761),x8762))
% 26.12/26.24 [878]~P1(x8781)+~E(x8782,f4(x8781))+E(x8781,f55(a92,x8782))+~P3(f58(f57(a76,a81),x8781))
% 26.12/26.24 [879]~P1(x8791)+~E(f4(x8791),x8792)+E(x8791,f55(a92,x8792))+~P3(f58(f57(a76,a81),x8791))
% 26.12/26.24 [880]~P1(x8802)+~E(x8801,f4(x8802))+E(f55(a92,x8801),x8802)+~P3(f58(f57(a76,a81),x8802))
% 26.12/26.24 [881]~E(x8811,x8812)+~P1(x8812)+~P1(x8811)+P3(f58(f57(a75,x8811),f84(x8812,a72)))
% 26.12/26.24 [883]~P1(x8832)+~P1(x8831)+E(x8831,x8832)+~P3(f58(f103(x8831,x8832),a81))
% 26.12/26.24 [887]~P1(x8872)+E(x8871,f4(x8872))+~E(x8872,f55(a92,x8871))+~P3(f58(f57(a76,a81),x8872))
% 26.12/26.24 [888]~P1(x8881)+E(f4(x8881),x8882)+~E(x8881,f55(a92,x8882))+~P3(f58(f57(a76,a81),x8881))
% 26.12/26.24 [919]~P1(x9192)+E(f55(a92,f15(x9191,x9192)),x9192)+P3(f56(x9191,f4(x9192)))+P3(f58(f57(a75,x9192),a81))
% 26.12/26.24 [979]~P1(x9792)+~P1(x9791)+~P3(f58(f57(a75,x9791),x9792))+P3(f58(f57(a76,x9791),x9792))
% 26.12/26.24 [991]~P1(x9912)+P3(f56(x9911,a105))+~P3(f56(x9911,f4(x9912)))+~P3(f58(f57(a75,x9912),a81))
% 26.12/26.24 [997]~P1(x9972)+~P3(f56(x9971,a105))+~P3(f56(x9971,f15(x9971,x9972)))+P3(f56(x9971,f4(x9972)))
% 26.12/26.24 [1012]~P1(x10122)+~P3(f56(x10121,f4(x10122)))+~P3(f58(f57(a76,a81),x10122))+P3(f56(x10121,f52(x10121)))
% 26.12/26.24 [1013]~P1(x10132)+~P3(f56(x10131,f46(x10131)))+~P3(f58(f57(a76,a81),x10132))+P3(f56(x10131,f4(x10132)))
% 26.12/26.24 [1050]~P1(x10501)+E(x10501,a81)+~P3(f58(f57(a11,x10502),x10501))+P3(f58(f57(a76,f8(x10502)),f8(x10501)))
% 26.12/26.24 [1085]~P1(x10852)+~P3(f56(x10851,f15(x10851,x10852)))+P3(f56(x10851,f4(x10852)))+P3(f58(f57(a75,x10852),a81))
% 26.12/26.24 [1095]~P1(x10952)+~P1(x10951)+~P3(f58(f57(a75,x10951),x10952))+P3(f58(f57(a75,x10951),f84(x10952,a72)))
% 26.12/26.24 [1475]~P3(f58(f57(a76,a81),x14752))+~P3(f58(f57(a76,a81),x14751))+~P3(f58(f57(a11,x14751),x14752))+P3(f56(f59(a9,f4(x14751)),f4(x14752)))
% 26.12/26.24 [1529]~P3(f58(f57(a76,a81),x15292))+~P3(f58(f57(a76,a81),x15291))+~P3(f56(f59(a9,f4(x15291)),f4(x15292)))+P3(f58(f57(a11,x15291),x15292))
% 26.12/26.24 [947]~P1(x9471)+E(x9471,a81)+~E(f8(x9472),a72)+P3(f58(f57(a11,f97(x9471,x9472)),x9471))
% 26.12/26.24 [1115]~P1(x11152)+~P3(f58(x11151,x11152))+~P3(f58(f57(a76,a81),x11152))+P3(f58(x11151,f55(a92,f14(x11151))))
% 26.12/26.24 [1152]~P1(x11521)+E(x11521,a81)+E(f8(x11522),a72)+~P3(f58(f57(a11,f97(x11521,x11522)),x11521))
% 26.12/26.24 [1168]~P1(x11682)+P3(f58(x11681,x11682))+~P3(f58(f57(a76,a81),x11682))+~P3(f58(x11681,f55(a92,f17(x11681))))
% 26.12/26.24 [1554]~P3(f58(f57(a76,a81),x15541))+~P3(f58(f57(a76,a81),x15542))+~P3(f58(f57(a76,x15541),a72))+P3(f58(f57(a76,f97(x15541,x15542)),x15542))
% 26.12/26.24 [1555]~P3(f58(f57(a76,a81),x15552))+~P3(f58(f57(a76,a81),x15551))+~P3(f58(f57(a76,x15552),a72))+P3(f58(f57(a76,f97(x15551,x15552)),x15551))
% 26.12/26.24 [1556]~P3(f62(f63(a78,a104),x15561))+~P3(f62(f63(a78,a104),x15562))+~P3(f62(f63(a78,x15561),a74))+P3(f62(f63(a78,f99(x15561,x15562)),x15562))
% 26.12/26.24 [1557]~P3(f62(f63(a78,a104),x15572))+~P3(f62(f63(a78,a104),x15571))+~P3(f62(f63(a78,x15572),a74))+P3(f62(f63(a78,f99(x15571,x15572)),x15571))
% 26.12/26.24 [1177]~P1(x11772)+E(x11771,a105)+~E(x11772,a81)+~P3(f58(f57(a75,a81),f55(f87(f8(x11772)),x11771)))
% 26.12/26.24 [1719]~P1(x17191)+~P1(x17192)+E(x17191,a81)+~P3(f58(f57(a76,f84(f97(x17192,x17192),f97(x17191,x17191))),a81))
% 26.12/26.24 [1720]~P1(x17201)+~P1(x17202)+E(x17201,a81)+~P3(f58(f57(a76,f84(f97(x17201,x17201),f97(x17202,x17202))),a81))
% 26.12/26.24 [1783]~P1(x17832)+~P1(x17831)+E(x17831,a81)+~E(f84(f55(f87(x17832),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x17831),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a81)
% 26.12/26.24 [1784]~P1(x17842)+~P1(x17841)+E(x17841,a81)+~E(f84(f55(f87(x17841),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x17842),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a81)
% 26.12/26.24 [1790]E(x17901,x17902)+E(x17902,a105)+~P3(f56(f59(a9,x17901),x17902))+P3(f56(f59(a77,f98(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x17901)),x17902))
% 26.12/26.24 [1797]~P1(x17972)+~P1(x17971)+E(x17971,a81)+P3(f58(f57(a75,a81),f84(f55(f87(x17972),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x17971),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))
% 26.12/26.24 [1798]~P1(x17982)+~P1(x17981)+E(x17981,a81)+P3(f58(f57(a75,a81),f84(f55(f87(x17981),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x17982),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))
% 26.12/26.24 [783]~P1(x7832)+~P1(x7831)+E(x7831,x7832)+~E(f84(x7833,x7831),f84(x7833,x7832))
% 26.12/26.24 [784]~P1(x7842)+~P1(x7841)+E(x7841,x7842)+~E(f84(x7841,x7843),f84(x7842,x7843))
% 26.12/26.24 [861]~P1(x8613)+~P1(x8612)+~P2(x8611)+P1(f65(x8611,x8612,x8613))
% 26.12/26.24 [857]~P1(x8573)+~E(x8573,f55(a92,x8572))+P3(f56(x8571,x8572))+~P3(f56(x8571,f4(x8573)))
% 26.12/26.24 [1133]E(x11331,x11332)+~E(f68(x11331,x11333),f68(x11332,x11333))+~P3(f56(f59(a77,x11333),x11331))+~P3(f56(f59(a77,x11333),x11332))
% 26.12/26.24 [1179]~P3(f56(x11791,x11792))+~P3(f56(x11791,x11793))+P3(f56(x11791,a105))+~P3(f56(f59(a77,x11793),f41(x11792,x11791)))
% 26.12/26.24 [1321]~E(f84(x13212,f97(x13213,x13211)),x13213)+~P3(f58(f57(a75,a81),x13213))+~P3(f58(f57(a76,a81),x13212))+P3(f58(f57(a76,x13211),a72))
% 26.12/26.24 [1330]~P1(x13301)+E(x13301,a81)+~P3(f58(f57(a11,x13302),x13303))+P3(f58(f57(a11,f97(x13301,x13302)),f97(x13301,x13303)))
% 26.12/26.24 [1335]~E(f84(x13352,f97(x13353,x13351)),x13353)+~P3(f58(f57(a75,a81),x13353))+P3(f58(f57(a76,a72),x13351))+~P3(f58(f57(a75,x13352),x13353))
% 26.12/26.24 [1347]P3(f58(x13471,x13472))+P1(f23(x13471,x13473,x13472))+~P3(f58(x13471,f84(x13473,a72)))+~P3(f58(f57(a75,x13473),x13472))
% 26.12/26.24 [1357]~P3(f58(a106,x13571))+~P3(f58(f57(a11,x13571),f97(x13573,x13572)))+P3(f58(f57(a11,x13571),x13573))+P3(f58(f57(a11,x13571),x13572))
% 26.12/26.24 [1472]~P1(x14721)+E(x14721,a81)+~P3(f58(f57(a11,f97(x14721,x14722)),f97(x14721,x14723)))+P3(f58(f57(a11,x14722),x14723))
% 26.12/26.24 [1553]P3(f58(x15531,x15532))+P3(f58(x15531,f23(x15531,x15533,x15532)))+~P3(f58(x15531,f84(x15533,a72)))+~P3(f58(f57(a75,x15533),x15532))
% 26.12/26.24 [1561]~P3(f56(f59(a9,x15611),f68(x15613,x15612)))+~P3(f56(f59(a9,x15611),x15613))+P3(f56(f59(a9,x15611),x15612))+~P3(f56(f59(a77,x15612),x15613))
% 26.12/26.24 [1562]~P3(f56(f59(a9,x15621),f68(x15622,x15623)))+~P3(f56(f59(a9,x15621),x15623))+P3(f56(f59(a9,x15621),x15622))+~P3(f56(f59(a77,x15623),x15622))
% 26.12/26.24 [1617]P3(f58(x16171,x16172))+~P3(f58(f57(a75,x16173),x16172))+~P3(f58(x16171,f84(x16173,a72)))+P3(f58(f57(a75,x16173),f23(x16171,x16173,x16172)))
% 26.12/26.24 [1676]~P3(f56(f59(a77,x16763),x16761))+~P3(f56(f59(a79,f68(x16761,x16763)),f68(x16762,x16763)))+P3(f56(f59(a79,x16761),x16762))+~P3(f56(f59(a77,x16763),x16762))
% 26.12/26.24 [1677]~P3(f56(f59(a77,x16773),x16771))+~P3(f56(f59(a77,f68(x16771,x16773)),f68(x16772,x16773)))+P3(f56(f59(a77,x16771),x16772))+~P3(f56(f59(a77,x16773),x16772))
% 26.12/26.24 [1532]~P3(f58(a106,x15322))+P3(f58(f103(x15321,a81),x15322))+P3(f58(f103(x15323,a81),x15322))+~P3(f58(f103(f97(x15323,x15321),a81),x15322))
% 26.12/26.24 [1648]~P3(f58(f57(a75,a81),x16481))+~P3(f56(f59(a79,x16483),x16482))+~P3(f58(f57(a75,x16481),a72))+P3(f58(f57(a75,f55(f87(x16481),x16482)),f55(f87(x16481),x16483)))
% 26.12/26.24 [1649]~P3(f58(f57(a76,a81),x16491))+~P3(f56(f59(a77,x16493),x16492))+~P3(f58(f57(a76,x16491),a72))+P3(f58(f57(a76,f55(f87(x16491),x16492)),f55(f87(x16491),x16493)))
% 26.12/26.24 [1650]~P3(f56(f59(a79,a105),x16501))+~P3(f56(f59(a79,x16503),x16502))+~P3(f56(f59(a79,x16501),a73))+P3(f56(f59(a79,f61(f89(x16501),x16502)),f61(f89(x16501),x16503)))
% 26.12/26.24 [1651]~P3(f56(f59(a77,a105),x16511))+~P3(f56(f59(a77,x16513),x16512))+~P3(f56(f59(a77,x16511),a73))+P3(f56(f59(a77,f61(f89(x16511),x16512)),f61(f89(x16511),x16513)))
% 26.12/26.24 [1652]~P3(f62(f63(a80,a104),x16521))+~P3(f56(f59(a79,x16523),x16522))+~P3(f62(f63(a80,x16521),a74))+P3(f62(f63(a80,f60(f88(x16521),x16522)),f60(f88(x16521),x16523)))
% 26.12/26.24 [1653]~P3(f62(f63(a78,a104),x16531))+~P3(f56(f59(a77,x16533),x16532))+~P3(f62(f63(a78,x16531),a74))+P3(f62(f63(a78,f60(f88(x16531),x16532)),f60(f88(x16531),x16533)))
% 26.12/26.24 [1654]~P3(f58(f57(a75,a81),x16543))+P3(f58(f57(a76,a81),x16541))+~P3(f58(f57(a75,x16542),x16543))+~P3(f58(f57(a76,a81),f84(f97(x16543,x16541),x16542)))
% 26.12/26.24 [1722]P3(f58(x17221,x17222))+~P3(f58(f57(a75,x17223),x17222))+~P3(f58(x17221,f84(x17223,a72)))+~P3(f58(x17221,f84(f23(x17221,x17223,x17222),a72)))
% 26.12/26.24 [1711]~P3(f58(f57(a75,a81),x17112))+~P3(f58(f57(a76,a81),x17113))+P3(f58(f57(a76,x17111),a81))+~P3(f58(f57(a75,f84(f97(x17112,x17111),x17113)),a81))
% 26.12/26.24 [916]~P1(x9162)+~P1(x9164)+~E(x9162,f84(x9161,f97(x9163,x9164)))+P3(f58(f103(x9161,x9162),x9163))
% 26.12/26.24 [1406]~E(x14061,f86(f98(x14062,x14063),x14064))+~P3(f56(f59(a79,a105),x14064))+~P3(f56(f59(a79,x14064),x14063))+~P3(f56(f59(a9,x14063),x14061))
% 26.12/26.24 [1708]~P3(f58(a106,x17081))+~P3(f58(f57(a11,f55(f87(x17081),x17083)),f97(x17084,x17082)))+P3(f58(f57(a11,x17081),x17082))+P3(f58(f57(a11,f55(f87(x17081),x17083)),x17084))
% 26.12/26.24 [1709]~P3(f58(a106,x17091))+~P3(f58(f57(a11,f55(f87(x17091),x17093)),f97(x17092,x17094)))+P3(f58(f57(a11,x17091),x17092))+P3(f58(f57(a11,f55(f87(x17091),x17093)),x17094))
% 26.12/26.24 [1237]~E(x12374,x12375)+~P3(f58(f103(x12375,x12372),x12373))+~P3(f58(f103(x12371,x12374),x12373))+P3(f58(f103(x12371,x12372),x12373))
% 26.12/26.24 [1766]~P1(x17661)+E(x17661,a81)+E(x17661,a72)+~P3(f58(f57(a76,a81),x17661))+~P3(f58(f57(a75,x17661),f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))
% 26.12/26.24 [1799]~P1(x17991)+~P3(f58(a106,x17991))+E(x17991,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))+E(x17991,f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))+P3(f58(f57(a76,f2(f84(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),a72))),x17991))
% 26.12/26.24 [1808]~P1(x18081)+E(x18081,a27)+~P3(f58(f57(a76,a81),x18081))+~P3(f58(f57(a75,x18081),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))+~P3(f58(f103(a82,x18081),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))
% 26.12/26.24 [702]~P1(x7022)+~P1(x7021)+~E(x7022,a72)+~E(x7021,a72)+E(f97(x7021,x7022),a72)
% 26.12/26.24 [724]~P1(x7241)+~P1(x7242)+E(x7241,a81)+E(x7242,a81)+~E(f97(x7242,x7241),a81)
% 26.12/26.24 [725]~P1(x7252)+~P1(x7251)+~E(x7252,f2(a5))+~E(x7251,f2(a5))+E(f97(x7251,x7252),a72)
% 26.12/26.24 [735]~P1(x7351)+~P1(x7352)+E(x7351,a72)+E(x7352,f2(a5))+~E(f97(x7351,x7352),a72)
% 26.12/26.24 [736]~P1(x7361)+~P1(x7362)+E(x7361,a72)+E(x7362,f2(a5))+~E(f97(x7362,x7361),a72)
% 26.12/26.24 [737]~P1(x7372)+~P1(x7371)+E(x7371,a72)+E(x7371,f2(a5))+~E(f97(x7372,x7371),a72)
% 26.12/26.24 [893]~P1(x8932)+~P1(x8931)+E(x8931,a72)+~E(f97(x8932,x8931),a72)+~P3(f58(f57(a75,a81),x8932))
% 26.12/26.24 [894]~P1(x8942)+~P1(x8941)+E(x8941,a72)+~E(f97(x8941,x8942),a72)+~P3(f58(f57(a75,a81),x8941))
% 26.12/26.24 [928]~P1(x9282)+~P1(x9281)+E(x9281,x9282)+P3(f58(f57(a75,x9282),x9281))+P3(f58(f57(a75,x9281),x9282))
% 26.12/26.24 [990]~P1(x9902)+~P1(x9901)+E(x9901,x9902)+P3(f58(f57(a75,x9901),x9902))+~P3(f58(f57(a76,x9901),x9902))
% 26.12/26.24 [1096]~P1(x10962)+~P1(x10961)+E(x10961,x10962)+~P3(f58(f57(a76,x10962),x10961))+~P3(f58(f57(a76,x10961),x10962))
% 26.12/26.24 [1132]~P1(x11322)+~P1(x11321)+E(x11321,x11322)+P3(f58(f57(a75,x11321),x11322))+~P3(f58(f57(a75,x11321),f84(x11322,a72)))
% 26.12/26.24 [1323]~P1(x13231)+E(x13231,a81)+~P3(f58(f57(a76,a81),x13231))+~P3(f58(f57(a75,x13231),x13232))+~P3(f58(f103(x13231,a81),x13232))
% 26.12/26.24 [1342]~P1(x13421)+E(x13421,f69(x13422,a72))+~P3(f58(f57(a75,a81),x13421))+~P3(f58(f57(a75,x13421),x13422))+P3(f58(f57(a75,x13421),f69(x13422,a72)))
% 26.12/26.24 [1678]~P3(f58(a106,x16782))+~P3(f58(f57(a75,a81),x16781))+P3(f58(f103(x16781,a72),x16782))+P3(f58(f103(x16781,f69(x16782,a72)),x16782))+~P3(f58(f103(f97(x16781,x16781),a72),x16782))
% 26.12/26.24 [1640]~P1(x16402)+~P1(x16401)+~E(x16402,a81)+~E(x16401,a81)+P3(f58(f57(a76,f84(f97(x16401,x16401),f97(x16402,x16402))),a81))
% 26.12/26.24 [1775]~P1(x17752)+~P1(x17751)+~E(x17752,a81)+~E(x17751,a81)+E(f84(f55(f87(x17751),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x17752),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a81)
% 26.12/26.24 [1805]~P1(x18051)+~P1(x18052)+~E(x18051,a81)+~E(x18052,a81)+~P3(f58(f57(a75,a81),f84(f55(f87(x18052),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(x18051),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))
% 26.12/26.24 [1344]E(x13441,f47(x13442,x13443))+~E(f60(f88(x13441),x13443),x13442)+~P3(f56(f59(a79,a105),x13443))+~P3(f62(f63(a80,a104),x13442))+~P3(f62(f63(a80,a104),x13441))
% 26.12/26.24 [1623]~P3(f58(f57(a75,a81),x16232))+~P3(f58(f57(a75,a81),x16231))+~P3(f58(f103(x16231,x16232),x16233))+~P3(f58(f57(a75,x16232),x16231))+~P3(f58(f57(a75,x16231),x16233))
% 26.12/26.24 [1727]~P1(x17272)+E(f55(x17271,f44(x17272,x17271,x17273)),x17272)+~P3(f58(f57(a76,x17272),f55(x17271,x17273)))+P3(f56(f59(a79,f45(x17272,x17271,x17273)),x17273))+~P3(f58(f57(a76,f55(x17271,a105)),x17272))
% 26.12/26.24 [1728]~P1(x17282)+E(f55(x17281,f48(x17282,x17281,x17283)),x17282)+~P3(f58(f57(a76,x17282),f55(x17281,x17283)))+P3(f56(f59(a79,f49(x17282,x17281,x17283)),x17283))+~P3(f58(f57(a76,f55(x17281,a105)),x17282))
% 26.12/26.24 [1749]~P1(x17491)+~P3(f58(f57(a76,x17491),f55(x17492,x17493)))+P3(f56(f59(a77,f44(x17491,x17492,x17493)),x17493))+P3(f56(f59(a79,f45(x17491,x17492,x17493)),x17493))+~P3(f58(f57(a76,f55(x17492,a105)),x17491))
% 26.12/26.24 [1750]~P1(x17501)+~P3(f58(f57(a76,x17501),f55(x17502,x17503)))+P3(f56(f59(a77,f48(x17501,x17502,x17503)),x17503))+P3(f56(f59(a79,f49(x17501,x17502,x17503)),x17503))+~P3(f58(f57(a76,f55(x17502,a105)),x17501))
% 26.12/26.24 [1800]~P1(x18002)+E(f55(x18001,f44(x18002,x18001,x18003)),x18002)+~P3(f58(f57(a76,x18002),f55(x18001,x18003)))+~P3(f58(f57(a76,f55(x18001,a105)),x18002))+~P3(f58(f57(a76,f8(f69(f55(x18001,f86(f45(x18002,x18001,x18003),a73)),f55(x18001,f45(x18002,x18001,x18003))))),a72))
% 26.12/26.24 [1801]~P1(x18012)+E(f55(x18011,f48(x18012,x18011,x18013)),x18012)+~P3(f58(f57(a76,x18012),f55(x18011,x18013)))+~P3(f58(f57(a76,f55(x18011,a105)),x18012))+~P3(f58(f57(a76,f8(f69(f55(x18011,f86(f49(x18012,x18011,x18013),a73)),f55(x18011,f49(x18012,x18011,x18013))))),a72))
% 26.12/26.24 [1802]~P1(x18021)+~P3(f58(f57(a76,x18021),f55(x18022,x18023)))+P3(f56(f59(a77,f44(x18021,x18022,x18023)),x18023))+~P3(f58(f57(a76,f55(x18022,a105)),x18021))+~P3(f58(f57(a76,f8(f69(f55(x18022,f86(f45(x18021,x18022,x18023),a73)),f55(x18022,f45(x18021,x18022,x18023))))),a72))
% 26.12/26.24 [1803]~P1(x18031)+~P3(f58(f57(a76,x18031),f55(x18032,x18033)))+P3(f56(f59(a77,f48(x18031,x18032,x18033)),x18033))+~P3(f58(f57(a76,f55(x18032,a105)),x18031))+~P3(f58(f57(a76,f8(f69(f55(x18032,f86(f49(x18031,x18032,x18033),a73)),f55(x18032,f49(x18031,x18032,x18033))))),a72))
% 26.12/26.24 [1679]~P3(f58(f57(a75,a81),x16793))+~P3(f58(f57(a76,a81),x16792))+~P3(f58(f57(a75,x16792),x16794))+~P3(f58(f57(a75,x16791),x16793))+P3(f58(f57(a75,f97(x16791,x16792)),f97(x16793,x16794)))
% 26.12/26.24 [1680]~P3(f58(f57(a76,a81),x16802))+~P3(f58(f57(a76,a81),x16801))+~P3(f58(f57(a75,x16802),x16804))+~P3(f58(f57(a75,x16801),x16803))+P3(f58(f57(a75,f97(x16801,x16802)),f97(x16803,x16804)))
% 26.12/26.24 [1681]~P3(f58(f57(a75,a81),x16811))+~P3(f58(f57(a76,a81),x16812))+~P3(f58(f57(a75,x16812),x16814))+~P3(f58(f57(a76,x16811),x16813))+P3(f58(f57(a75,f97(x16811,x16812)),f97(x16813,x16814)))
% 26.12/26.24 [1682]~P3(f58(f57(a75,a81),x16822))+~P3(f58(f57(a76,a81),x16821))+~P3(f58(f57(a75,x16821),x16823))+~P3(f58(f57(a76,x16822),x16824))+P3(f58(f57(a75,f97(x16821,x16822)),f97(x16823,x16824)))
% 26.12/26.24 [1683]~P3(f58(f57(a76,a81),x16832))+~P3(f58(f57(a76,a81),x16833))+~P3(f58(f57(a76,x16832),x16834))+~P3(f58(f57(a76,x16831),x16833))+P3(f58(f57(a76,f97(x16831,x16832)),f97(x16833,x16834)))
% 26.12/26.24 [1684]~P3(f58(f57(a76,a81),x16842))+~P3(f58(f57(a76,a81),x16841))+~P3(f58(f57(a76,x16842),x16844))+~P3(f58(f57(a76,x16841),x16843))+P3(f58(f57(a76,f97(x16841,x16842)),f97(x16843,x16844)))
% 26.12/26.24 [1685]~P3(f56(f59(a79,a105),x16853))+~P3(f56(f59(a77,a105),x16852))+~P3(f56(f59(a79,x16852),x16854))+~P3(f56(f59(a79,x16851),x16853))+P3(f56(f59(a79,f98(x16851,x16852)),f98(x16853,x16854)))
% 26.12/26.24 [1686]~P3(f56(f59(a77,a105),x16861))+~P3(f56(f59(a77,a105),x16862))+~P3(f56(f59(a79,x16862),x16864))+~P3(f56(f59(a79,x16861),x16863))+P3(f56(f59(a79,f98(x16861,x16862)),f98(x16863,x16864)))
% 26.12/26.24 [1687]~P3(f56(f59(a79,a105),x16871))+~P3(f56(f59(a77,a105),x16872))+~P3(f56(f59(a79,x16872),x16874))+~P3(f56(f59(a77,x16871),x16873))+P3(f56(f59(a79,f98(x16871,x16872)),f98(x16873,x16874)))
% 26.12/26.24 [1688]~P3(f56(f59(a79,a105),x16882))+~P3(f56(f59(a77,a105),x16881))+~P3(f56(f59(a79,x16881),x16883))+~P3(f56(f59(a77,x16882),x16884))+P3(f56(f59(a79,f98(x16881,x16882)),f98(x16883,x16884)))
% 26.12/26.24 [1691]~P3(f62(f63(a80,a104),x16913))+~P3(f62(f63(a78,a104),x16912))+~P3(f62(f63(a80,x16912),x16914))+~P3(f62(f63(a80,x16911),x16913))+P3(f62(f63(a80,f99(x16911,x16912)),f99(x16913,x16914)))
% 26.12/26.24 [1692]~P3(f62(f63(a78,a104),x16922))+~P3(f62(f63(a78,a104),x16921))+~P3(f62(f63(a80,x16922),x16924))+~P3(f62(f63(a80,x16921),x16923))+P3(f62(f63(a80,f99(x16921,x16922)),f99(x16923,x16924)))
% 26.12/26.24 [1693]~P3(f62(f63(a80,a104),x16931))+~P3(f62(f63(a78,a104),x16932))+~P3(f62(f63(a80,x16932),x16934))+~P3(f62(f63(a78,x16931),x16933))+P3(f62(f63(a80,f99(x16931,x16932)),f99(x16933,x16934)))
% 26.12/26.24 [1694]~P3(f62(f63(a80,a104),x16942))+~P3(f62(f63(a78,a104),x16941))+~P3(f62(f63(a80,x16941),x16943))+~P3(f62(f63(a78,x16942),x16944))+P3(f62(f63(a80,f99(x16941,x16942)),f99(x16943,x16944)))
% 26.12/26.24 [1695]~P3(f62(f63(a78,a104),x16952))+~P3(f62(f63(a78,a104),x16953))+~P3(f62(f63(a78,x16952),x16954))+~P3(f62(f63(a78,x16951),x16953))+P3(f62(f63(a78,f99(x16951,x16952)),f99(x16953,x16954)))
% 26.12/26.24 [1696]~P3(f62(f63(a78,a104),x16962))+~P3(f62(f63(a78,a104),x16961))+~P3(f62(f63(a78,x16962),x16964))+~P3(f62(f63(a78,x16961),x16963))+P3(f62(f63(a78,f99(x16961,x16962)),f99(x16963,x16964)))
% 26.12/26.24 [1618]~P3(f58(x16182,x16184))+P1(f42(x16181,x16182,x16183))+~P3(f58(f57(a75,a81),x16183))+~P3(f58(f57(a76,a81),x16181))+P3(f58(x16182,f69(x16184,f97(x16181,x16183))))
% 26.12/26.24 [1619]~P3(f58(x16192,x16194))+P1(f43(x16191,x16192,x16193))+~P3(f58(f57(a75,a81),x16193))+~P3(f58(f57(a76,a81),x16191))+P3(f58(x16192,f84(x16194,f97(x16191,x16193))))
% 26.12/26.24 [1697]~P3(f58(x16971,x16974))+~P3(f58(f57(a75,a81),x16973))+~P3(f58(f57(a76,a81),x16972))+P3(f58(x16971,f42(x16972,x16971,x16973)))+P3(f58(x16971,f69(x16974,f97(x16972,x16973))))
% 26.12/26.24 [1698]~P3(f58(x16981,x16984))+~P3(f58(f57(a75,a81),x16983))+~P3(f58(f57(a76,a81),x16982))+P3(f58(x16981,f43(x16982,x16981,x16983)))+P3(f58(x16981,f84(x16984,f97(x16982,x16983))))
% 26.12/26.24 [1735]~P3(f58(x17351,x17352))+~P3(f58(f57(a75,a81),x17354))+~P3(f58(f57(a76,a81),x17353))+~P3(f58(x17351,f69(f42(x17353,x17351,x17354),x17354)))+P3(f58(x17351,f69(x17352,f97(x17353,x17354))))
% 26.12/26.24 [1736]~P3(f58(x17361,x17362))+~P3(f58(f57(a75,a81),x17364))+~P3(f58(f57(a76,a81),x17363))+~P3(f58(x17361,f84(f43(x17363,x17361,x17364),x17364)))+P3(f58(x17361,f84(x17362,f97(x17363,x17364))))
% 26.12/26.24 [1738]~P3(f58(f57(a76,a81),x17385))+P3(f58(f57(a76,x17381),x17382))+~P3(f58(f57(a75,x17383),x17384))+~P3(f58(f57(a75,x17385),x17384))+~P3(f58(f57(a76,f84(f97(x17384,x17381),x17385)),f84(f97(x17384,x17382),x17383)))
% 26.12/26.24 [1739]~P3(f58(f57(a75,x17393),x17395))+P3(f58(f57(a76,x17391),x17392))+~P3(f58(f57(a75,x17393),x17394))+~P3(f58(f57(a76,x17394),a81))+~P3(f58(f57(a76,f84(f97(x17393,x17392),x17395)),f84(f97(x17393,x17391),x17394)))
% 26.12/26.24 [1080]~P1(x10802)+~P1(x10801)+E(x10801,x10802)+~E(f4(x10801),f4(x10802))+~P3(f58(f57(a76,a81),x10802))+~P3(f58(f57(a76,a81),x10801))
% 26.12/26.24 [922]~E(x9221,x9223)+~P1(x9224)+~P1(x9222)+~P1(x9223)+~P1(x9221)+E(f84(f97(x9221,x9222),f97(x9223,x9224)),f84(f97(x9221,x9224),f97(x9223,x9222)))
% 26.12/26.24 [1723]~E(f84(x17231,x17233),a72)+~P3(f58(f57(a76,a81),x17233))+~P3(f58(f57(a76,a81),x17231))+~P3(f58(f57(a75,x17234),x17235))+~P3(f58(f57(a75,x17232),x17235))+P3(f58(f57(a75,f84(f97(x17231,x17232),f97(x17233,x17234))),x17235))
% 26.12/26.24 [1724]~E(f84(x17241,x17243),a72)+~P3(f58(f57(a76,a81),x17243))+~P3(f58(f57(a76,a81),x17241))+~P3(f58(f57(a76,x17244),x17245))+~P3(f58(f57(a76,x17242),x17245))+P3(f58(f57(a76,f84(f97(x17241,x17242),f97(x17243,x17244))),x17245))
% 26.12/26.24 [1725]~E(f85(x17251,x17253),a74)+~P3(f62(f63(a78,a104),x17253))+~P3(f62(f63(a78,a104),x17251))+~P3(f62(f63(a80,x17254),x17255))+~P3(f62(f63(a80,x17252),x17255))+P3(f62(f63(a80,f85(f99(x17251,x17252),f99(x17253,x17254))),x17255))
% 26.12/26.24 [1726]~E(f85(x17261,x17263),a74)+~P3(f62(f63(a78,a104),x17263))+~P3(f62(f63(a78,a104),x17261))+~P3(f62(f63(a78,x17264),x17265))+~P3(f62(f63(a78,x17262),x17265))+P3(f62(f63(a78,f85(f99(x17261,x17262),f99(x17263,x17264))),x17265))
% 26.12/26.24 [1137]~P1(x11372)+~P1(x11371)+E(x11371,x11372)+E(x11371,a72)+~P3(f58(a106,x11372))+~P3(f58(f57(a76,a81),x11371))+~P3(f58(f57(a11,x11371),x11372))
% 26.12/26.24 [1531]~P1(x15312)+~P1(x15311)+E(x15311,x15312)+~P3(f58(f57(a76,a81),x15312))+~P3(f58(f57(a76,a81),x15311))+~P3(f58(f57(a11,x15312),x15311))+~P3(f58(f57(a11,x15311),x15312))
% 26.12/26.24 [1620]~P1(x16201)+E(x16201,a72)+E(x16201,f69(x16202,a72))+~P3(f58(a106,x16202))+~P3(f58(f57(a75,a81),x16201))+~P3(f58(f57(a75,x16201),x16202))+~P3(f58(f103(f97(x16201,x16201),a72),x16202))
% 26.12/26.24 [801]~P1(x8012)+~P1(x8011)+~P1(x8014)+~P1(x8013)+E(x8011,x8012)+~E(x8013,x8014)+~E(f69(x8013,x8014),f69(x8011,x8012))
% 26.12/26.24 [1049]~P1(x10492)+~P1(x10494)+~P1(x10491)+~P1(x10493)+E(x10491,x10492)+E(x10493,x10494)+~E(f84(f97(x10493,x10491),f97(x10494,x10492)),f84(f97(x10493,x10492),f97(x10494,x10491)))
% 26.12/26.24 [1721]~E(f84(f97(x17213,x17211),x17214),f84(f97(x17215,x17212),x17216))+~P3(f58(f57(a75,a81),x17215))+~P3(f58(f57(a76,a81),x17214))+~P3(f58(f57(a75,x17216),x17215))+~P3(f58(f57(a76,x17215),x17213))+P3(f58(f57(a76,x17211),x17212))+~P3(f58(f57(a76,a81),f84(f97(x17215,x17212),x17216)))
% 26.12/26.24 [1737]~E(f84(f97(x17373,x17372),x17374),f84(f97(x17375,x17371),x17376))+~P3(f58(f57(a75,a81),x17375))+~P3(f58(f57(a76,a81),x17376))+~P3(f58(f57(a75,x17374),x17373))+~P3(f58(f57(a76,x17375),x17373))+P3(f58(f57(a76,x17371),x17372))+~P3(f58(f57(a75,f84(f97(x17375,x17371),x17376)),a81))
% 26.12/26.24 [1635]~P1(x16352)+~P1(x16351)+E(x16351,x16352)+~P3(f58(f57(a76,a81),x16352))+~P3(f58(f57(a76,a81),x16351))+~P3(f58(f103(x16352,x16351),x16353))+~P3(f58(f57(a75,x16352),x16353))+~P3(f58(f57(a75,x16351),x16353))
% 26.12/26.24 [1699]~P1(x16992)+~P1(x16991)+E(x16991,x16992)+~P3(f58(f57(a75,a81),x16993))+~P3(f58(f57(a75,a81),x16992))+~P3(f58(f57(a75,a81),x16991))+~P3(f58(f103(x16992,x16991),x16993))+~P3(f58(f57(a75,x16992),x16993))+~P3(f58(f57(a75,x16991),x16993))
% 26.12/26.24 %EqnAxiom
% 26.12/26.24 [1]E(x11,x11)
% 26.12/26.24 [2]E(x22,x21)+~E(x21,x22)
% 26.12/26.24 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 26.12/26.24 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 26.12/26.24 [5]~E(x51,x52)+E(f58(x51,x53),f58(x52,x53))
% 26.12/26.24 [6]~E(x61,x62)+E(f58(x63,x61),f58(x63,x62))
% 26.12/26.24 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 26.12/26.24 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 26.12/26.24 [9]~E(x91,x92)+E(f59(x91,x93),f59(x92,x93))
% 26.12/26.24 [10]~E(x101,x102)+E(f59(x103,x101),f59(x103,x102))
% 26.12/26.24 [11]~E(x111,x112)+E(f84(x111,x113),f84(x112,x113))
% 26.12/26.24 [12]~E(x121,x122)+E(f84(x123,x121),f84(x123,x122))
% 26.12/26.24 [13]~E(x131,x132)+E(f97(x131,x133),f97(x132,x133))
% 26.12/26.24 [14]~E(x141,x142)+E(f97(x143,x141),f97(x143,x142))
% 26.12/26.24 [15]~E(x151,x152)+E(f63(x151,x153),f63(x152,x153))
% 26.12/26.24 [16]~E(x161,x162)+E(f63(x163,x161),f63(x163,x162))
% 26.12/26.24 [17]~E(x171,x172)+E(f99(x171,x173),f99(x172,x173))
% 26.12/26.24 [18]~E(x181,x182)+E(f99(x183,x181),f99(x183,x182))
% 26.12/26.24 [19]~E(x191,x192)+E(f56(x191,x193),f56(x192,x193))
% 26.12/26.24 [20]~E(x201,x202)+E(f56(x203,x201),f56(x203,x202))
% 26.12/26.24 [21]~E(x211,x212)+E(f55(x211,x213),f55(x212,x213))
% 26.12/26.24 [22]~E(x221,x222)+E(f55(x223,x221),f55(x223,x222))
% 26.12/26.24 [23]~E(x231,x232)+E(f98(x231,x233),f98(x232,x233))
% 26.12/26.24 [24]~E(x241,x242)+E(f98(x243,x241),f98(x243,x242))
% 26.12/26.24 [25]~E(x251,x252)+E(f87(x251),f87(x252))
% 26.12/26.24 [26]~E(x261,x262)+E(f88(x261),f88(x262))
% 26.12/26.24 [27]~E(x271,x272)+E(f57(x271,x273),f57(x272,x273))
% 26.12/26.24 [28]~E(x281,x282)+E(f57(x283,x281),f57(x283,x282))
% 26.12/26.24 [29]~E(x291,x292)+E(f69(x291,x293),f69(x292,x293))
% 26.12/26.24 [30]~E(x301,x302)+E(f69(x303,x301),f69(x303,x302))
% 26.12/26.24 [31]~E(x311,x312)+E(f96(x311),f96(x312))
% 26.12/26.24 [32]~E(x321,x322)+E(f60(x321,x323),f60(x322,x323))
% 26.12/26.24 [33]~E(x331,x332)+E(f60(x333,x331),f60(x333,x332))
% 26.12/26.24 [34]~E(x341,x342)+E(f86(x341,x343),f86(x342,x343))
% 26.12/26.24 [35]~E(x351,x352)+E(f86(x353,x351),f86(x353,x352))
% 26.12/26.24 [36]~E(x361,x362)+E(f68(x361,x363),f68(x362,x363))
% 26.12/26.24 [37]~E(x371,x372)+E(f68(x373,x371),f68(x373,x372))
% 26.12/26.24 [38]~E(x381,x382)+E(f62(x381,x383),f62(x382,x383))
% 26.12/26.24 [39]~E(x391,x392)+E(f62(x393,x391),f62(x393,x392))
% 26.12/26.24 [40]~E(x401,x402)+E(f85(x401,x403),f85(x402,x403))
% 26.12/26.24 [41]~E(x411,x412)+E(f85(x413,x411),f85(x413,x412))
% 26.12/26.24 [42]~E(x421,x422)+E(f103(x421,x423),f103(x422,x423))
% 26.12/26.24 [43]~E(x431,x432)+E(f103(x433,x431),f103(x433,x432))
% 26.12/26.24 [44]~E(x441,x442)+E(f18(x441,x443,x444),f18(x442,x443,x444))
% 26.12/26.24 [45]~E(x451,x452)+E(f18(x453,x451,x454),f18(x453,x452,x454))
% 26.12/26.24 [46]~E(x461,x462)+E(f18(x463,x464,x461),f18(x463,x464,x462))
% 26.12/26.24 [47]~E(x471,x472)+E(f70(x471,x473),f70(x472,x473))
% 26.12/26.24 [48]~E(x481,x482)+E(f70(x483,x481),f70(x483,x482))
% 26.12/26.24 [49]~E(x491,x492)+E(f66(x491,x493),f66(x492,x493))
% 26.12/26.24 [50]~E(x501,x502)+E(f66(x503,x501),f66(x503,x502))
% 26.12/26.24 [51]~E(x511,x512)+E(f61(x511,x513),f61(x512,x513))
% 26.12/26.24 [52]~E(x521,x522)+E(f61(x523,x521),f61(x523,x522))
% 26.12/26.24 [53]~E(x531,x532)+E(f30(x531,x533),f30(x532,x533))
% 26.12/26.24 [54]~E(x541,x542)+E(f30(x543,x541),f30(x543,x542))
% 26.12/26.24 [55]~E(x551,x552)+E(f89(x551),f89(x552))
% 26.12/26.24 [56]~E(x561,x562)+E(f65(x561,x563,x564),f65(x562,x563,x564))
% 26.12/26.24 [57]~E(x571,x572)+E(f65(x573,x571,x574),f65(x573,x572,x574))
% 26.12/26.24 [58]~E(x581,x582)+E(f65(x583,x584,x581),f65(x583,x584,x582))
% 26.12/26.24 [59]~E(x591,x592)+E(f8(x591),f8(x592))
% 26.12/26.24 [60]~E(x601,x602)+E(f38(x601),f38(x602))
% 26.12/26.24 [61]~E(x611,x612)+E(f45(x611,x613,x614),f45(x612,x613,x614))
% 26.12/26.24 [62]~E(x621,x622)+E(f45(x623,x621,x624),f45(x623,x622,x624))
% 26.12/26.24 [63]~E(x631,x632)+E(f45(x633,x634,x631),f45(x633,x634,x632))
% 26.12/26.24 [64]~E(x641,x642)+E(f23(x641,x643,x644),f23(x642,x643,x644))
% 26.12/26.24 [65]~E(x651,x652)+E(f23(x653,x651,x654),f23(x653,x652,x654))
% 26.12/26.24 [66]~E(x661,x662)+E(f23(x663,x664,x661),f23(x663,x664,x662))
% 26.12/26.24 [67]~E(x671,x672)+E(f49(x671,x673,x674),f49(x672,x673,x674))
% 26.12/26.24 [68]~E(x681,x682)+E(f49(x683,x681,x684),f49(x683,x682,x684))
% 26.12/26.24 [69]~E(x691,x692)+E(f49(x693,x694,x691),f49(x693,x694,x692))
% 26.12/26.24 [70]~E(x701,x702)+E(f19(x701,x703,x704),f19(x702,x703,x704))
% 26.12/26.24 [71]~E(x711,x712)+E(f19(x713,x711,x714),f19(x713,x712,x714))
% 26.12/26.24 [72]~E(x721,x722)+E(f19(x723,x724,x721),f19(x723,x724,x722))
% 26.12/26.24 [73]~E(x731,x732)+E(f31(x731),f31(x732))
% 26.12/26.24 [74]~E(x741,x742)+E(f10(x741),f10(x742))
% 26.12/26.24 [75]~E(x751,x752)+E(f64(x751,x753,x754),f64(x752,x753,x754))
% 26.12/26.24 [76]~E(x761,x762)+E(f64(x763,x761,x764),f64(x763,x762,x764))
% 26.12/26.24 [77]~E(x771,x772)+E(f64(x773,x774,x771),f64(x773,x774,x772))
% 26.12/26.24 [78]~E(x781,x782)+E(f52(x781),f52(x782))
% 26.12/26.24 [79]~E(x791,x792)+E(f90(x791),f90(x792))
% 26.12/26.24 [80]~E(x801,x802)+E(f40(x801,x803),f40(x802,x803))
% 26.12/26.24 [81]~E(x811,x812)+E(f40(x813,x811),f40(x813,x812))
% 26.12/26.24 [82]~E(x821,x822)+E(f14(x821),f14(x822))
% 26.12/26.24 [83]~E(x831,x832)+E(f43(x831,x833,x834),f43(x832,x833,x834))
% 26.12/26.24 [84]~E(x841,x842)+E(f43(x843,x841,x844),f43(x843,x842,x844))
% 26.12/26.24 [85]~E(x851,x852)+E(f43(x853,x854,x851),f43(x853,x854,x852))
% 26.12/26.24 [86]~E(x861,x862)+E(f15(x861,x863),f15(x862,x863))
% 26.12/26.24 [87]~E(x871,x872)+E(f15(x873,x871),f15(x873,x872))
% 26.12/26.24 [88]~E(x881,x882)+E(f47(x881,x883),f47(x882,x883))
% 26.12/26.24 [89]~E(x891,x892)+E(f47(x893,x891),f47(x893,x892))
% 26.12/26.24 [90]~E(x901,x902)+E(f39(x901,x903),f39(x902,x903))
% 26.12/26.24 [91]~E(x911,x912)+E(f39(x913,x911),f39(x913,x912))
% 26.12/26.24 [92]~E(x921,x922)+E(f12(x921),f12(x922))
% 26.12/26.24 [93]~E(x931,x932)+E(f51(x931),f51(x932))
% 26.12/26.24 [94]~E(x941,x942)+E(f41(x941,x943),f41(x942,x943))
% 26.12/26.24 [95]~E(x951,x952)+E(f41(x953,x951),f41(x953,x952))
% 26.12/26.24 [96]~E(x961,x962)+E(f32(x961),f32(x962))
% 26.12/26.24 [97]~E(x971,x972)+E(f50(x971,x973),f50(x972,x973))
% 26.12/26.24 [98]~E(x981,x982)+E(f50(x983,x981),f50(x983,x982))
% 26.12/26.24 [99]~E(x991,x992)+E(f42(x991,x993,x994),f42(x992,x993,x994))
% 26.12/26.24 [100]~E(x1001,x1002)+E(f42(x1003,x1001,x1004),f42(x1003,x1002,x1004))
% 26.12/26.24 [101]~E(x1011,x1012)+E(f42(x1013,x1014,x1011),f42(x1013,x1014,x1012))
% 26.12/26.24 [102]~E(x1021,x1022)+E(f13(x1021),f13(x1022))
% 26.12/26.24 [103]~E(x1031,x1032)+E(f44(x1031,x1033,x1034),f44(x1032,x1033,x1034))
% 26.12/26.24 [104]~E(x1041,x1042)+E(f44(x1043,x1041,x1044),f44(x1043,x1042,x1044))
% 26.12/26.24 [105]~E(x1051,x1052)+E(f44(x1053,x1054,x1051),f44(x1053,x1054,x1052))
% 26.12/26.24 [106]~E(x1061,x1062)+E(f48(x1061,x1063,x1064),f48(x1062,x1063,x1064))
% 26.12/26.24 [107]~E(x1071,x1072)+E(f48(x1073,x1071,x1074),f48(x1073,x1072,x1074))
% 26.12/26.24 [108]~E(x1081,x1082)+E(f48(x1083,x1084,x1081),f48(x1083,x1084,x1082))
% 26.12/26.24 [109]~E(x1091,x1092)+E(f25(x1091,x1093),f25(x1092,x1093))
% 26.12/26.24 [110]~E(x1101,x1102)+E(f25(x1103,x1101),f25(x1103,x1102))
% 26.12/26.24 [111]~E(x1111,x1112)+E(f33(x1111,x1113,x1114),f33(x1112,x1113,x1114))
% 26.12/26.24 [112]~E(x1121,x1122)+E(f33(x1123,x1121,x1124),f33(x1123,x1122,x1124))
% 26.12/26.24 [113]~E(x1131,x1132)+E(f33(x1133,x1134,x1131),f33(x1133,x1134,x1132))
% 26.12/26.24 [114]~E(x1141,x1142)+E(f17(x1141),f17(x1142))
% 26.12/26.24 [115]~E(x1151,x1152)+E(f16(x1151,x1153),f16(x1152,x1153))
% 26.12/26.24 [116]~E(x1161,x1162)+E(f16(x1163,x1161),f16(x1163,x1162))
% 26.12/26.24 [117]~E(x1171,x1172)+E(f46(x1171),f46(x1172))
% 26.12/26.24 [118]~P1(x1181)+P1(x1182)+~E(x1181,x1182)
% 26.12/26.24 [119]~P3(x1191)+P3(x1192)+~E(x1191,x1192)
% 26.12/26.24 [120]~P2(x1201)+P2(x1202)+~E(x1201,x1202)
% 26.12/26.24
% 26.12/26.24 %-------------------------------------------
% 26.47/26.29 cnf(1809,plain,
% 26.47/26.29 (E(a81,f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),
% 26.47/26.29 inference(scs_inference,[],[503,2])).
% 26.47/26.29 cnf(1810,plain,
% 26.47/26.29 (~E(a100,a105)),
% 26.47/26.29 inference(scs_inference,[],[503,300,2,846])).
% 26.47/26.29 cnf(1812,plain,
% 26.47/26.29 (~E(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a105)),
% 26.47/26.29 inference(scs_inference,[],[503,300,498,2,846,711])).
% 26.47/26.29 cnf(1817,plain,
% 26.47/26.29 (~E(f86(x18171,a100),x18171)),
% 26.47/26.29 inference(scs_inference,[],[503,300,498,234,2,846,711,709,675])).
% 26.47/26.29 cnf(1819,plain,
% 26.47/26.29 (~E(f85(x18191,a74),x18191)),
% 26.47/26.29 inference(scs_inference,[],[503,560,300,498,234,2,846,711,709,675,673])).
% 26.47/26.29 cnf(1822,plain,
% 26.47/26.29 (~E(f84(f84(x18221,x18221),a72),f84(x18222,x18222))),
% 26.47/26.29 inference(rename_variables,[],[570])).
% 26.47/26.29 cnf(1823,plain,
% 26.47/26.29 (~E(f84(x18231,x18231),a72)),
% 26.47/26.29 inference(scs_inference,[],[503,560,300,498,234,570,1822,2,846,711,709,675,673,12,11])).
% 26.47/26.29 cnf(1826,plain,
% 26.47/26.29 (P3(f58(f57(a75,x18261),f84(x18261,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(1828,plain,
% 26.47/26.29 (E(f8(a72),a72)),
% 26.47/26.29 inference(scs_inference,[],[503,560,300,498,234,222,570,1822,408,2,846,711,709,675,673,12,11,1770,1758])).
% 26.47/26.29 cnf(1832,plain,
% 26.47/26.29 (P3(f58(f57(a76,x18321),x18321))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(1834,plain,
% 26.47/26.29 (P3(f62(f63(a80,a74),f3(f84(f84(f84(a1,a1),a72),a72))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,300,498,234,222,307,570,1822,408,1826,2,846,711,709,675,673,12,11,1770,1758,1633,1632])).
% 26.47/26.29 cnf(1835,plain,
% 26.47/26.29 (P3(f58(f57(a75,x18351),f84(x18351,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(1838,plain,
% 26.47/26.29 (P3(f58(f57(a76,x18381),x18381))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(1841,plain,
% 26.47/26.29 (P3(f58(f57(a75,x18411),f84(x18411,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(1844,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x18441),x18441))),
% 26.47/26.29 inference(rename_variables,[],[583])).
% 26.47/26.29 cnf(1847,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x18471),x18471))),
% 26.47/26.29 inference(rename_variables,[],[583])).
% 26.47/26.29 cnf(1852,plain,
% 26.47/26.29 (P3(f58(f103(x18521,x18521),x18522))),
% 26.47/26.29 inference(rename_variables,[],[354])).
% 26.47/26.29 cnf(1863,plain,
% 26.47/26.29 (P3(f58(f57(a76,x18631),f55(f87(x18631),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.29 inference(rename_variables,[],[512])).
% 26.47/26.29 cnf(1866,plain,
% 26.47/26.29 (P3(f58(f57(a75,x18661),f84(x18661,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(1868,plain,
% 26.47/26.29 (P3(f58(f57(a75,a81),a91))),
% 26.47/26.29 inference(scs_inference,[],[503,560,300,575,289,576,498,505,234,222,354,307,1832,583,1844,570,1822,408,1826,1835,1841,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934])).
% 26.47/26.29 cnf(1881,plain,
% 26.47/26.29 (P3(f58(f103(x18811,x18811),x18812))),
% 26.47/26.29 inference(rename_variables,[],[354])).
% 26.47/26.29 cnf(1892,plain,
% 26.47/26.29 (P3(f58(f57(a75,x18921),f84(x18921,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(1896,plain,
% 26.47/26.29 (P3(f58(f57(a75,a1),f84(f84(a1,a1),a72)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,300,575,288,286,289,296,301,576,498,505,234,222,354,1852,307,1832,583,1844,570,1822,408,1826,1835,1841,1866,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110])).
% 26.47/26.29 cnf(1901,plain,
% 26.47/26.29 (P3(f58(f57(a76,x19011),x19011))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(1904,plain,
% 26.47/26.29 (P3(f58(f57(a75,x19041),f84(x19041,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(1922,plain,
% 26.47/26.29 (P3(f58(f103(f55(a92,x19221),a81),f13(f103(f55(a92,x19221),a81))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,575,288,286,289,296,301,576,396,398,498,505,234,222,354,1852,306,307,1832,1838,583,1844,570,1822,408,1826,1835,1841,1866,1892,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918])).
% 26.47/26.29 cnf(1923,plain,
% 26.47/26.29 (P3(f58(f103(x19231,a81),x19231))),
% 26.47/26.29 inference(rename_variables,[],[306])).
% 26.47/26.29 cnf(1943,plain,
% 26.47/26.29 (~P3(f58(f57(a76,f84(a1,x19431)),f84(a5,x19431)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,575,288,286,289,296,301,576,578,396,398,498,505,234,222,354,1852,306,307,1832,1838,583,1844,581,570,1822,408,1826,1835,1841,1866,1892,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441])).
% 26.47/26.29 cnf(1952,plain,
% 26.47/26.29 (P3(f56(f59(a77,x19521),f98(x19521,x19521)))),
% 26.47/26.29 inference(rename_variables,[],[415])).
% 26.47/26.29 cnf(1955,plain,
% 26.47/26.29 (P3(f56(f59(a77,x19551),f98(x19551,x19551)))),
% 26.47/26.29 inference(rename_variables,[],[415])).
% 26.47/26.29 cnf(1957,plain,
% 26.47/26.29 (P3(f56(f59(a79,x19571),f86(f86(x19571,x19572),a73)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,286,289,296,301,576,578,396,398,498,505,234,222,354,1852,306,307,1832,1838,583,1844,581,570,1822,415,1952,408,1826,1835,1841,1866,1892,409,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324])).
% 26.47/26.29 cnf(1958,plain,
% 26.47/26.29 (P3(f56(f59(a79,x19581),f86(x19581,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(1960,plain,
% 26.47/26.29 (P3(f58(f57(a11,x19601),f55(a92,f4(f8(x19601)))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,286,289,296,301,576,578,396,398,498,505,234,222,354,1852,306,307,1832,1838,309,583,1844,581,570,1822,415,1952,408,1826,1835,1841,1866,1892,409,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317])).
% 26.47/26.29 cnf(1961,plain,
% 26.47/26.29 (P3(f56(f59(a9,x19611),x19611))),
% 26.47/26.29 inference(rename_variables,[],[309])).
% 26.47/26.29 cnf(1963,plain,
% 26.47/26.29 (P3(f56(f59(a79,x19631),f4(f84(f55(a92,x19631),a72))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,286,289,296,301,576,578,396,398,498,505,234,222,354,1852,306,307,1832,1838,309,583,1844,581,570,1822,415,1952,408,1826,1835,1841,1866,1892,1904,409,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300])).
% 26.47/26.29 cnf(1964,plain,
% 26.47/26.29 (P3(f58(f57(a75,x19641),f84(x19641,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(1967,plain,
% 26.47/26.29 (~P3(f62(f63(a80,f85(f10(x19671),a74)),x19671))),
% 26.47/26.29 inference(rename_variables,[],[592])).
% 26.47/26.29 cnf(1969,plain,
% 26.47/26.29 (~P3(f58(f57(a75,x19691),x19691))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,286,289,296,301,576,578,396,398,498,505,234,222,354,1852,306,307,1832,1838,309,583,1844,581,570,1822,415,1952,408,1826,1835,1841,1866,1892,1904,409,592,512,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259])).
% 26.47/26.29 cnf(1972,plain,
% 26.47/26.29 (P3(f58(f57(a76,x19721),f55(f87(x19721),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.29 inference(rename_variables,[],[512])).
% 26.47/26.29 cnf(1974,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x19741),f4(a81)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,286,289,296,301,576,578,396,398,498,505,234,222,354,1852,306,307,1832,1838,309,583,1844,581,570,1822,415,1952,408,1826,1835,1841,1866,1892,1904,409,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171])).
% 26.47/26.29 cnf(1977,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x19771),x19771))),
% 26.47/26.29 inference(rename_variables,[],[583])).
% 26.47/26.29 cnf(1981,plain,
% 26.47/26.29 (~P3(f56(f59(a79,a105),f68(x19811,x19811)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,286,289,296,301,576,578,396,398,498,505,234,222,354,1852,306,307,1832,1838,309,583,1844,1847,1977,581,570,1822,415,1952,408,1826,1835,1841,1866,1892,1904,409,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119])).
% 26.47/26.29 cnf(1985,plain,
% 26.47/26.29 (P3(f58(f57(a75,f69(x19851,a72)),x19851))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,286,289,296,301,576,578,396,398,498,505,531,234,222,354,1852,306,307,1832,1838,1901,309,583,1844,1847,1977,581,570,1822,415,1952,408,1826,1835,1841,1866,1892,1904,409,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117])).
% 26.47/26.29 cnf(1986,plain,
% 26.47/26.29 (P3(f58(f57(a76,x19861),x19861))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2021,plain,
% 26.47/26.29 (P3(f58(f103(x20211,x20211),x20212))),
% 26.47/26.29 inference(rename_variables,[],[354])).
% 26.47/26.29 cnf(2025,plain,
% 26.47/26.29 (P3(f56(f59(a9,x20251),f86(x20251,x20251)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,234,222,354,1852,1881,306,307,1832,1838,1901,309,1961,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075])).
% 26.47/26.29 cnf(2035,plain,
% 26.47/26.29 (E(f86(x20351,f25(x20351,x20351)),x20351)),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,234,222,354,1852,1881,306,307,1832,1838,1901,308,309,1961,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911])).
% 26.47/26.29 cnf(2048,plain,
% 26.47/26.29 (P3(f56(f59(a77,x20481),x20481))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2050,plain,
% 26.47/26.29 (P3(f56(f59(a79,x20501),f68(f86(f86(x20501,x20502),a73),x20502)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,234,222,354,1852,1881,306,307,1832,1838,1901,308,309,1961,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,1958,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385])).
% 26.47/26.29 cnf(2051,plain,
% 26.47/26.29 (P3(f56(f59(a79,x20511),f86(x20511,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(2053,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x20531),f68(f86(x20531,x20532),x20532)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,234,222,354,1852,1881,306,307,1832,1838,1901,308,309,1961,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,1958,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345])).
% 26.47/26.29 cnf(2054,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x20541),x20541))),
% 26.47/26.29 inference(rename_variables,[],[583])).
% 26.47/26.29 cnf(2070,plain,
% 26.47/26.29 (E(f64(a37,x20701,x20702),x20702)),
% 26.47/26.29 inference(rename_variables,[],[263])).
% 26.47/26.29 cnf(2072,plain,
% 26.47/26.29 (~E(f85(f99(x20721,x20722),a74),f85(f99(x20723,x20722),f99(f70(x20721,x20723),x20722)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,308,2048,309,1961,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,1958,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996])).
% 26.47/26.29 cnf(2074,plain,
% 26.47/26.29 (~E(f85(f99(x20741,x20742),f85(f99(x20743,x20742),a74)),f85(f99(x20744,x20742),f99(f70(x20743,f70(x20744,x20741)),x20742)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,308,2048,309,1961,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,1958,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995])).
% 26.47/26.29 cnf(2076,plain,
% 26.47/26.29 (P3(f62(f63(a78,f85(f99(x20761,x20762),x20763)),f85(f99(x20764,x20762),f85(f99(f70(x20761,x20764),x20762),x20763))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,308,2048,309,1961,310,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,1958,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762])).
% 26.47/26.29 cnf(2077,plain,
% 26.47/26.29 (P3(f62(f63(a78,x20771),x20771))),
% 26.47/26.29 inference(rename_variables,[],[310])).
% 26.47/26.29 cnf(2079,plain,
% 26.47/26.29 (P3(f62(f63(a80,f85(f99(x20791,x20792),x20793)),f85(f99(x20794,x20792),f85(f85(f99(f70(x20791,x20794),x20792),x20793),a74))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,308,2048,309,1961,310,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,409,1958,410,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761])).
% 26.47/26.29 cnf(2080,plain,
% 26.47/26.29 (P3(f62(f63(a80,x20801),f85(x20801,a74)))),
% 26.47/26.29 inference(rename_variables,[],[410])).
% 26.47/26.29 cnf(2083,plain,
% 26.47/26.29 (P3(f58(f57(a76,x20831),x20831))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2085,plain,
% 26.47/26.29 (P3(f58(f57(a75,f84(f97(x20851,x20852),x20853)),f84(f97(x20854,x20852),f84(f84(f97(f69(x20851,x20854),x20852),x20853),a72))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,308,2048,309,1961,310,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759])).
% 26.47/26.29 cnf(2086,plain,
% 26.47/26.29 (P3(f58(f57(a75,x20861),f84(x20861,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(2088,plain,
% 26.47/26.29 (~P3(f62(f63(a80,f85(f99(x20881,x20882),a74)),f85(f99(x20883,x20882),f85(f99(f70(x20881,x20883),x20882),a104))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,308,2048,309,1961,310,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753])).
% 26.47/26.29 cnf(2090,plain,
% 26.47/26.29 (~P3(f58(f57(a76,f84(f97(x20901,x20902),a1)),f84(f97(x20903,x20902),f84(f97(f69(x20901,x20903),x20902),a5))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,308,2048,309,1961,310,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,585,592,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752])).
% 26.47/26.29 cnf(2094,plain,
% 26.47/26.29 (~P3(f62(f63(a80,f85(f99(x20941,x20942),f85(f10(f85(f99(f70(x20943,x20941),x20942),x20944)),a74))),f85(f99(x20943,x20942),x20944)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,308,2048,309,1961,310,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,585,592,1967,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742])).
% 26.47/26.29 cnf(2095,plain,
% 26.47/26.29 (~P3(f62(f63(a80,f85(f10(x20951),a74)),x20951))),
% 26.47/26.29 inference(rename_variables,[],[592])).
% 26.47/26.29 cnf(2097,plain,
% 26.47/26.29 (~P3(f58(f57(a76,f84(f97(x20971,x20972),f84(f97(f69(x20973,x20971),x20972),a1))),f84(f97(x20973,x20972),a5)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,308,2048,309,1961,310,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,585,592,1967,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741])).
% 26.47/26.29 cnf(2101,plain,
% 26.47/26.29 (P3(f62(f63(a78,f85(f99(x21011,x21012),f85(f99(f70(x21013,x21011),x21012),x21014))),f85(f99(x21013,x21012),x21014)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,308,2048,309,1961,310,2077,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,585,592,1967,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734])).
% 26.47/26.29 cnf(2102,plain,
% 26.47/26.29 (P3(f62(f63(a78,x21021),x21021))),
% 26.47/26.29 inference(rename_variables,[],[310])).
% 26.47/26.29 cnf(2104,plain,
% 26.47/26.29 (P3(f62(f63(a80,f85(f99(x21041,x21042),f99(f70(x21043,x21041),x21042))),f85(f99(x21043,x21042),a74)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,308,2048,309,1961,310,2077,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,2080,585,592,1967,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733])).
% 26.47/26.29 cnf(2105,plain,
% 26.47/26.29 (P3(f62(f63(a80,x21051),f85(x21051,a74)))),
% 26.47/26.29 inference(rename_variables,[],[410])).
% 26.47/26.29 cnf(2107,plain,
% 26.47/26.29 (P3(f58(f57(a76,f84(f97(x21071,x21072),f84(f97(f69(x21073,x21071),x21072),x21074))),f84(f97(x21073,x21072),x21074)))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,531,545,263,189,234,222,354,1852,1881,306,307,1832,1838,1901,1986,2083,308,2048,309,1961,310,2077,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,409,1958,410,2080,585,592,1967,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732])).
% 26.47/26.29 cnf(2108,plain,
% 26.47/26.29 (P3(f58(f57(a76,x21081),x21081))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2111,plain,
% 26.47/26.29 (P3(f58(f57(a75,x21111),f84(x21111,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(2114,plain,
% 26.47/26.29 (E(f64(a37,x21141,x21142),x21142)),
% 26.47/26.29 inference(rename_variables,[],[263])).
% 26.47/26.29 cnf(2115,plain,
% 26.47/26.29 (P1(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),
% 26.47/26.29 inference(scs_inference,[],[503,560,294,300,572,575,288,571,574,286,289,296,301,576,578,396,398,498,505,504,531,545,263,2070,189,250,234,222,354,1852,1881,306,307,1832,1838,1901,1986,2083,308,2048,309,1961,310,2077,583,1844,1847,1977,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,410,2080,585,592,1967,512,1863,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118])).
% 26.47/26.29 cnf(2116,plain,
% 26.47/26.29 (P1(f55(x21161,x21162))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2129,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x21291),x21291))),
% 26.47/26.29 inference(rename_variables,[],[583])).
% 26.47/26.29 cnf(2153,plain,
% 26.47/26.29 (P3(f56(f59(a79,x21531),f86(x21531,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(2156,plain,
% 26.47/26.29 (P3(f62(f63(a80,x21561),f85(x21561,a74)))),
% 26.47/26.29 inference(rename_variables,[],[410])).
% 26.47/26.29 cnf(2163,plain,
% 26.47/26.29 (P3(f58(f103(x21631,a81),x21631))),
% 26.47/26.29 inference(rename_variables,[],[306])).
% 26.47/26.29 cnf(2170,plain,
% 26.47/26.29 (P3(f58(f57(a76,x21701),f55(f87(x21701),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.29 inference(rename_variables,[],[512])).
% 26.47/26.29 cnf(2172,plain,
% 26.47/26.29 (P3(f58(f57(a76,a81),a91))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,148,555,560,562,164,294,300,572,575,288,571,574,284,286,289,290,296,301,576,578,396,398,498,505,504,531,545,544,263,2070,189,195,250,234,222,354,1852,1881,306,1923,307,1832,1838,1901,1986,2083,308,2048,309,1961,310,2077,583,1844,1847,1977,2054,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,410,2080,2105,2156,585,592,1967,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173])).
% 26.47/26.29 cnf(2177,plain,
% 26.47/26.29 (P3(f56(f59(a77,x21771),x21771))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2179,plain,
% 26.47/26.29 (E(f86(f4(f2(a1)),f4(f2(a1))),f4(f2(f84(a1,a1))))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,148,555,560,562,164,294,300,572,575,288,571,574,284,286,289,290,296,301,576,578,396,398,498,505,504,531,545,544,263,2070,189,195,250,234,222,354,1852,1881,306,1923,307,1832,1838,1901,1986,2083,308,2048,309,1961,310,2077,583,1844,1847,1977,2054,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,410,2080,2105,2156,585,592,1967,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105])).
% 26.47/26.29 cnf(2188,plain,
% 26.47/26.29 (P3(f62(f63(a78,x21881),x21881))),
% 26.47/26.29 inference(rename_variables,[],[310])).
% 26.47/26.29 cnf(2193,plain,
% 26.47/26.29 (P3(f62(f63(a78,x21931),x21931))),
% 26.47/26.29 inference(rename_variables,[],[310])).
% 26.47/26.29 cnf(2217,plain,
% 26.47/26.29 (~P3(f58(f57(a76,a81),a5))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,396,398,498,505,504,531,545,544,263,2070,189,195,250,234,222,354,1852,1881,306,1923,307,1832,1838,1901,1986,2083,308,2048,309,1961,310,2077,2102,2188,583,1844,1847,1977,2054,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,410,2080,2105,2156,589,585,592,1967,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484])).
% 26.47/26.29 cnf(2224,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x22241),x22241))),
% 26.47/26.29 inference(rename_variables,[],[583])).
% 26.47/26.29 cnf(2227,plain,
% 26.47/26.29 (E(f64(a37,x22271,x22272),x22272)),
% 26.47/26.29 inference(rename_variables,[],[263])).
% 26.47/26.29 cnf(2229,plain,
% 26.47/26.29 (~P3(f58(f103(f2(a5),a72),f55(f87(f84(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),a72)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,545,544,263,2070,2114,189,195,250,234,222,354,1852,1881,2021,306,1923,307,1832,1838,1901,1986,2083,308,2048,309,1961,310,2077,2102,2188,583,1844,1847,1977,2054,2129,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,410,2080,2105,2156,589,585,592,1967,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771])).
% 26.47/26.29 cnf(2230,plain,
% 26.47/26.29 (P3(f58(f103(x22301,x22301),x22302))),
% 26.47/26.29 inference(rename_variables,[],[354])).
% 26.47/26.29 cnf(2232,plain,
% 26.47/26.29 (~P3(f62(f63(a80,f10(f85(x22321,f85(a74,a74)))),x22321))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,545,544,263,2070,2114,189,195,250,234,222,354,1852,1881,2021,306,1923,307,1832,1838,1901,1986,2083,308,2048,309,1961,310,2077,2102,2188,583,1844,1847,1977,2054,2129,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,410,2080,2105,2156,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525])).
% 26.47/26.29 cnf(2234,plain,
% 26.47/26.29 (P3(f62(f63(a80,x22341),f85(x22341,a74)))),
% 26.47/26.29 inference(rename_variables,[],[410])).
% 26.47/26.29 cnf(2237,plain,
% 26.47/26.29 (P3(f58(f57(a76,x22371),x22371))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2240,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x22401),x22401))),
% 26.47/26.29 inference(rename_variables,[],[583])).
% 26.47/26.29 cnf(2243,plain,
% 26.47/26.29 (P3(f56(f59(a79,x22431),f86(x22431,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(2246,plain,
% 26.47/26.29 (P3(f56(f59(a79,x22461),f86(x22461,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(2248,plain,
% 26.47/26.29 (~P3(f58(f57(a11,a91),a72))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,545,544,263,2070,2114,189,195,250,234,222,354,1852,1881,2021,306,1923,307,1832,1838,1901,1986,2083,2108,308,2048,309,1961,310,2077,2102,2188,583,1844,1847,1977,2054,2129,2224,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242])).
% 26.47/26.29 cnf(2252,plain,
% 26.47/26.29 (E(f85(f99(x22521,x22522),f85(f99(f70(x22523,x22521),x22522),x22524)),f85(f99(x22523,x22522),x22524))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,544,263,2070,2114,189,195,250,234,222,354,1852,1881,2021,306,1923,307,1832,1838,1901,1986,2083,2108,308,2048,309,1961,310,2077,2102,2188,583,1844,1847,1977,2054,2129,2224,581,570,1822,415,1952,1955,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066])).
% 26.47/26.29 cnf(2255,plain,
% 26.47/26.29 (P3(f56(f59(a77,x22551),f86(x22551,x22552)))),
% 26.47/26.29 inference(rename_variables,[],[414])).
% 26.47/26.29 cnf(2257,plain,
% 26.47/26.29 (~E(f70(x22571,x22571),f70(f3(a1),f3(a5)))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,544,263,2070,2114,189,195,250,234,222,354,1852,1881,2021,306,1923,307,1832,1838,1901,1986,2083,2108,308,2048,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047])).
% 26.47/26.29 cnf(2267,plain,
% 26.47/26.29 (~P3(f62(f63(a78,a74),a104))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,544,263,2070,2114,189,195,250,234,222,354,1852,1881,2021,306,1923,307,1832,1838,1901,1986,2083,2108,308,2048,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963])).
% 26.47/26.29 cnf(2270,plain,
% 26.47/26.29 (P3(f56(f59(a77,a105),x22701))),
% 26.47/26.29 inference(rename_variables,[],[304])).
% 26.47/26.29 cnf(2273,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x22731,x22732)),x22732))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2276,plain,
% 26.47/26.29 (P3(f58(f103(x22761,x22761),x22762))),
% 26.47/26.29 inference(rename_variables,[],[354])).
% 26.47/26.29 cnf(2281,plain,
% 26.47/26.29 (P3(f56(f59(a9,x22811),x22811))),
% 26.47/26.29 inference(rename_variables,[],[309])).
% 26.47/26.29 cnf(2286,plain,
% 26.47/26.29 (P3(f58(f57(a76,x22861),x22861))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2288,plain,
% 26.47/26.29 (~E(f84(f97(x22881,x22882),f97(f69(x22881,x22883),x22882)),f84(f97(x22883,x22882),a5))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,189,195,565,250,234,222,354,1852,1881,2021,2230,306,1923,307,1832,1838,1901,1986,2083,2108,2237,308,2048,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,590,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999])).
% 26.47/26.29 cnf(2289,plain,
% 26.47/26.29 (~E(f84(x22891,x22891),a5)),
% 26.47/26.29 inference(rename_variables,[],[565])).
% 26.47/26.29 cnf(2293,plain,
% 26.47/26.29 (E(f68(f64(a37,x22931,f86(x22932,a105)),a105),x22932)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,189,195,565,250,234,222,354,1852,1881,2021,2230,306,1923,307,1832,1838,1901,1986,2083,2108,2237,308,2048,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,590,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908])).
% 26.47/26.29 cnf(2294,plain,
% 26.47/26.29 (P3(f56(f59(a77,a105),x22941))),
% 26.47/26.29 inference(rename_variables,[],[304])).
% 26.47/26.29 cnf(2295,plain,
% 26.47/26.29 (E(f64(a37,x22951,x22952),x22952)),
% 26.47/26.29 inference(rename_variables,[],[263])).
% 26.47/26.29 cnf(2298,plain,
% 26.47/26.29 (P3(f56(f59(a77,a105),x22981))),
% 26.47/26.29 inference(rename_variables,[],[304])).
% 26.47/26.29 cnf(2305,plain,
% 26.47/26.29 (P3(f58(f103(x23051,a81),x23051))),
% 26.47/26.29 inference(rename_variables,[],[306])).
% 26.47/26.29 cnf(2308,plain,
% 26.47/26.29 (P3(f56(f59(a77,x23081),x23081))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2309,plain,
% 26.47/26.29 (P3(f56(f59(a77,a105),x23091))),
% 26.47/26.29 inference(rename_variables,[],[304])).
% 26.47/26.29 cnf(2314,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x23141,x23142)),x23142))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2317,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x23171,x23172)),x23172))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2319,plain,
% 26.47/26.29 (E(f86(x23191,f19(f59(a79,f86(x23192,f68(x23191,x23191))),x23191,x23191)),x23191)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,189,195,565,250,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,590,2273,2314,2317,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130])).
% 26.47/26.29 cnf(2320,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x23201,x23202)),x23202))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2323,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x23231,x23232)),x23232))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2328,plain,
% 26.47/26.29 (E(f86(f98(x23281,x23282),x23283),f86(f98(x23281,x23282),f64(a37,x23284,f86(f98(f68(x23281,x23281),x23282),x23283))))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,590,2273,2314,2317,2320,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239])).
% 26.47/26.29 cnf(2329,plain,
% 26.47/26.29 (E(f64(a37,x23291,x23292),x23292)),
% 26.47/26.29 inference(rename_variables,[],[263])).
% 26.47/26.29 cnf(2334,plain,
% 26.47/26.29 (~E(f86(f98(x23341,x23342),f86(a105,f98(f68(x23341,x23341),x23342))),f86(f98(x23341,x23342),a100))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,410,2080,2105,2156,590,2273,2314,2317,2320,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211])).
% 26.47/26.29 cnf(2337,plain,
% 26.47/26.29 (P3(f56(f59(a77,x23371),x23371))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2339,plain,
% 26.47/26.29 (P3(f56(f59(a79,f86(f98(x23391,x23392),x23393)),f86(f98(x23391,x23392),f86(f86(f98(f68(x23391,x23391),x23392),x23393),a73))))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,410,2080,2105,2156,590,2273,2314,2317,2320,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764])).
% 26.47/26.29 cnf(2340,plain,
% 26.47/26.29 (P3(f56(f59(a79,x23401),f86(x23401,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(2342,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(f98(x23421,x23422),x23423)),f86(f98(x23421,x23422),f98(f68(x23421,x23421),x23422))))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,410,2080,2105,2156,590,2273,2314,2317,2320,591,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755])).
% 26.47/26.29 cnf(2346,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x23461,x23462)),x23462))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2349,plain,
% 26.47/26.29 (P3(f56(f59(a77,x23491),x23491))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2351,plain,
% 26.47/26.29 (P3(f56(f59(a79,f86(f98(x23511,x23512),f98(f68(x23511,x23511),x23512))),f86(f98(x23511,x23512),a73)))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,139,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,2349,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,410,2080,2105,2156,590,2273,2314,2317,2320,2323,591,589,585,592,1967,2095,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744])).
% 26.47/26.29 cnf(2352,plain,
% 26.47/26.29 (P3(f56(f59(a79,x23521),f86(x23521,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(2355,plain,
% 26.47/26.29 (P1(f55(x23551,x23552))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2358,plain,
% 26.47/26.29 (P1(f55(x23581,x23582))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2369,plain,
% 26.47/26.29 (E(f55(f87(f55(a92,x23691)),x23692),f55(a92,f61(f89(x23691),x23692)))),
% 26.47/26.29 inference(rename_variables,[],[407])).
% 26.47/26.29 cnf(2370,plain,
% 26.47/26.29 (P1(f55(x23701,x23702))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2374,plain,
% 26.47/26.29 (P1(f55(x23741,x23742))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2377,plain,
% 26.47/26.29 (P3(f56(f59(a77,x23771),x23771))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2379,plain,
% 26.47/26.29 (~E(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),f55(a92,a105))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,2116,2355,2358,2370,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,2349,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,410,2080,2105,2156,590,2273,2314,2317,2320,2323,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857])).
% 26.47/26.29 cnf(2380,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x23801),a105))),
% 26.47/26.29 inference(rename_variables,[],[581])).
% 26.47/26.29 cnf(2383,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x23831,x23832)),x23832))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2386,plain,
% 26.47/26.29 (P3(f56(f59(a77,x23861),x23861))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2392,plain,
% 26.47/26.29 (P3(f58(f57(a76,a5),a81))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,2116,2355,2358,2370,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,2349,2377,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979])).
% 26.47/26.29 cnf(2396,plain,
% 26.47/26.29 (~E(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))),f55(a92,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,189,193,195,565,250,2116,2355,2358,2370,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,2349,2377,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887])).
% 26.47/26.29 cnf(2399,plain,
% 26.47/26.29 (E(f64(a37,x23991,x23992),x23992)),
% 26.47/26.29 inference(rename_variables,[],[263])).
% 26.47/26.29 cnf(2401,plain,
% 26.47/26.29 (E(a72,f55(a92,a73))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,2329,189,193,195,565,250,2116,2355,2358,2370,244,234,222,354,1852,1881,2021,2230,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,2349,2377,309,1961,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,570,1822,415,1952,1955,414,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879])).
% 26.47/26.29 cnf(2404,plain,
% 26.47/26.29 (E(f64(a37,x24041,x24042),x24042)),
% 26.47/26.29 inference(rename_variables,[],[263])).
% 26.47/26.29 cnf(2407,plain,
% 26.47/26.29 (P3(f56(f59(a9,x24071),x24071))),
% 26.47/26.29 inference(rename_variables,[],[309])).
% 26.47/26.29 cnf(2410,plain,
% 26.47/26.29 (P3(f58(f57(a76,a81),f55(a92,x24101)))),
% 26.47/26.29 inference(rename_variables,[],[401])).
% 26.47/26.29 cnf(2413,plain,
% 26.47/26.29 (P3(f58(f103(x24131,x24131),x24132))),
% 26.47/26.29 inference(rename_variables,[],[354])).
% 26.47/26.29 cnf(2417,plain,
% 26.47/26.29 (P3(f56(f59(a79,x24171),f86(x24171,a73)))),
% 26.47/26.29 inference(rename_variables,[],[409])).
% 26.47/26.29 cnf(2418,plain,
% 26.47/26.29 (P3(f56(f59(a9,x24181),x24181))),
% 26.47/26.29 inference(rename_variables,[],[309])).
% 26.47/26.29 cnf(2421,plain,
% 26.47/26.29 (~P3(f56(f59(a79,f86(x24211,x24212)),x24212))),
% 26.47/26.29 inference(rename_variables,[],[590])).
% 26.47/26.29 cnf(2427,plain,
% 26.47/26.29 (P3(f56(f59(a77,x24271),x24271))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2428,plain,
% 26.47/26.29 (P3(f56(f59(a77,a105),x24281))),
% 26.47/26.29 inference(rename_variables,[],[304])).
% 26.47/26.29 cnf(2431,plain,
% 26.47/26.29 (P3(f56(f59(a77,x24311),x24311))),
% 26.47/26.29 inference(rename_variables,[],[308])).
% 26.47/26.29 cnf(2432,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x24321),a105))),
% 26.47/26.29 inference(rename_variables,[],[581])).
% 26.47/26.29 cnf(2437,plain,
% 26.47/26.29 (~P3(f58(f57(a76,a72),a81))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096])).
% 26.47/26.29 cnf(2445,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x24451),a105))),
% 26.47/26.29 inference(rename_variables,[],[581])).
% 26.47/26.29 cnf(2446,plain,
% 26.47/26.29 (P3(f58(f57(a76,x24461),x24461))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2447,plain,
% 26.47/26.29 (P1(f55(x24471,x24472))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2451,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x24511),a105))),
% 26.47/26.29 inference(rename_variables,[],[581])).
% 26.47/26.29 cnf(2452,plain,
% 26.47/26.29 (P3(f58(f57(a76,x24521),x24521))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2453,plain,
% 26.47/26.29 (P1(f55(x24531,x24532))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2455,plain,
% 26.47/26.29 (E(f55(x24551,f48(f55(x24551,a105),x24551,a105)),f55(x24551,a105))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728])).
% 26.47/26.29 cnf(2457,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x24571),a105))),
% 26.47/26.29 inference(rename_variables,[],[581])).
% 26.47/26.29 cnf(2458,plain,
% 26.47/26.29 (P3(f58(f57(a76,x24581),x24581))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2459,plain,
% 26.47/26.29 (P1(f55(x24591,x24592))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2461,plain,
% 26.47/26.29 (E(f55(x24611,f44(f55(x24611,a105),x24611,a105)),f55(x24611,a105))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727])).
% 26.47/26.29 cnf(2463,plain,
% 26.47/26.29 (~P3(f56(f59(a79,x24631),a105))),
% 26.47/26.29 inference(rename_variables,[],[581])).
% 26.47/26.29 cnf(2464,plain,
% 26.47/26.29 (P3(f58(f57(a76,x24641),x24641))),
% 26.47/26.29 inference(rename_variables,[],[307])).
% 26.47/26.29 cnf(2465,plain,
% 26.47/26.29 (P1(f55(x24651,x24652))),
% 26.47/26.29 inference(rename_variables,[],[250])).
% 26.47/26.29 cnf(2485,plain,
% 26.47/26.29 (P3(f56(f59(a79,a105),f61(f89(x24851),f4(a81))))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892])).
% 26.47/26.29 cnf(2497,plain,
% 26.47/26.29 (~P3(f56(f59(a9,a105),a73))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837])).
% 26.47/26.29 cnf(2503,plain,
% 26.47/26.29 (E(f84(f69(a72,x25031),x25031),a72)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766])).
% 26.47/26.29 cnf(2509,plain,
% 26.47/26.29 (P1(f84(a72,a72))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708])).
% 26.47/26.29 cnf(2511,plain,
% 26.47/26.29 (~E(f61(f89(a100),x25111),a105)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706])).
% 26.47/26.29 cnf(2517,plain,
% 26.47/26.29 (E(f84(f2(a1),a72),a72)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677])).
% 26.47/26.29 cnf(2521,plain,
% 26.47/26.29 (~E(f86(a100,x25211),a105)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667])).
% 26.47/26.29 cnf(2533,plain,
% 26.47/26.29 (~E(f55(a92,a100),a81)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650])).
% 26.47/26.29 cnf(2539,plain,
% 26.47/26.29 (E(f84(a81,a72),a72)),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644])).
% 26.47/26.29 cnf(2563,plain,
% 26.47/26.29 (P1(f8(a72))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615])).
% 26.47/26.29 cnf(2668,plain,
% 26.47/26.29 (E(f69(x26681,f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f69(x26681,a81))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30])).
% 26.47/26.29 cnf(2669,plain,
% 26.47/26.29 (E(f69(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),x26691),f69(a81,x26691))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29])).
% 26.47/26.29 cnf(2694,plain,
% 26.47/26.29 (P3(f58(f57(a75,x26941),f84(x26941,a72)))),
% 26.47/26.29 inference(rename_variables,[],[408])).
% 26.47/26.29 cnf(2696,plain,
% 26.47/26.29 (P3(f58(f57(a75,f69(x26961,f97(f84(f8(f69(x26961,x26962)),a72),a72))),x26962))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768])).
% 26.47/26.29 cnf(2698,plain,
% 26.47/26.29 (P3(f58(f57(a75,x26981),f84(x26982,f97(f84(f8(f69(x26982,x26981)),a72),a72))))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748])).
% 26.47/26.29 cnf(2700,plain,
% 26.47/26.29 (~P3(f62(f63(a78,f85(f99(a74,a74),f99(x27001,x27001))),a104))),
% 26.47/26.29 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717])).
% 26.47/26.29 cnf(2702,plain,
% 26.47/26.29 (~P3(f62(f63(a78,f85(f99(x27021,x27021),f99(a74,a74))),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716])).
% 26.47/26.30 cnf(2705,plain,
% 26.47/26.30 (P3(f58(f57(a76,x27051),x27051))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2708,plain,
% 26.47/26.30 (P3(f58(f57(a75,x27081),f84(x27081,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(2711,plain,
% 26.47/26.30 (P3(f58(f57(a76,x27111),x27111))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2714,plain,
% 26.47/26.30 (P3(f58(f57(a75,x27141),f84(x27141,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(2724,plain,
% 26.47/26.30 (P3(f58(f57(a75,a81),f55(f87(a72),x27241)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097])).
% 26.47/26.30 cnf(2726,plain,
% 26.47/26.30 (~P3(f62(f63(a80,a104),f60(a93,a105)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084])).
% 26.47/26.30 cnf(2727,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x27271),a105))),
% 26.47/26.30 inference(rename_variables,[],[581])).
% 26.47/26.30 cnf(2730,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x27301),a105))),
% 26.47/26.30 inference(rename_variables,[],[581])).
% 26.47/26.30 cnf(2732,plain,
% 26.47/26.30 (~P3(f58(f57(a75,a81),f55(a92,a105)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082])).
% 26.47/26.30 cnf(2733,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x27331),a105))),
% 26.47/26.30 inference(rename_variables,[],[581])).
% 26.47/26.30 cnf(2749,plain,
% 26.47/26.30 (P3(f58(f57(a75,a81),f55(a92,a100)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002])).
% 26.47/26.30 cnf(2754,plain,
% 26.47/26.30 (P3(f58(f57(a75,x27541),f84(x27541,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(2758,plain,
% 26.47/26.30 (P3(f62(f63(a80,f3(a5)),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988])).
% 26.47/26.30 cnf(2761,plain,
% 26.47/26.30 (P3(f58(f57(a76,x27611),x27611))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2767,plain,
% 26.47/26.30 (~P3(f62(f63(a78,a104),f3(a5)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968])).
% 26.47/26.30 cnf(2769,plain,
% 26.47/26.30 (~P3(f62(f63(a80,a104),f99(f3(a1),f3(a1))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946])).
% 26.47/26.30 cnf(2771,plain,
% 26.47/26.30 (P3(f62(f63(a78,a104),f3(a1)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945])).
% 26.47/26.30 cnf(2772,plain,
% 26.47/26.30 (P3(f58(f57(a76,x27721),x27721))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2775,plain,
% 26.47/26.30 (P3(f58(f57(a75,x27751),f84(x27751,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(2790,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x27901),x27901))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(2794,plain,
% 26.47/26.30 (~E(f85(f99(x27941,x27941),f99(a74,a74)),a104)),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830])).
% 26.47/26.30 cnf(2798,plain,
% 26.47/26.30 (P1(f84(f84(a72,a72),a72))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817])).
% 26.47/26.30 cnf(2802,plain,
% 26.47/26.30 (P3(f58(f57(a76,f55(a92,a105)),a81))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812])).
% 26.47/26.30 cnf(2829,plain,
% 26.47/26.30 (P1(f84(a81,a81))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716])).
% 26.47/26.30 cnf(2837,plain,
% 26.47/26.30 (~E(f85(a74,a74),a104)),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661])).
% 26.47/26.30 cnf(2845,plain,
% 26.47/26.30 (~P3(f58(f57(a76,f84(f84(a1,a1),a72)),a1))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658])).
% 26.47/26.30 cnf(2847,plain,
% 26.47/26.30 (~P3(f58(f57(a75,f84(f84(a1,a1),a72)),a1))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657])).
% 26.47/26.30 cnf(2851,plain,
% 26.47/26.30 (~P3(f58(f57(a75,f84(f84(a72,a72),a72)),a81))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655])).
% 26.47/26.30 cnf(2860,plain,
% 26.47/26.30 (P3(f58(f57(a76,x28601),x28601))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2871,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x28711),x28711))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(2874,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x28741),x28741))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(2880,plain,
% 26.47/26.30 (~P3(f58(f57(a75,a5),f84(f84(a5,a5),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407])).
% 26.47/26.30 cnf(2882,plain,
% 26.47/26.30 (~P3(f62(f63(a80,f85(a74,a74)),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252])).
% 26.47/26.30 cnf(2894,plain,
% 26.47/26.30 (P3(f58(f57(a76,a1),f84(f84(a1,a1),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183])).
% 26.47/26.30 cnf(2895,plain,
% 26.47/26.30 (P3(f58(f57(a76,x28951),x28951))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2897,plain,
% 26.47/26.30 (P3(f58(f57(a76,a5),f84(f84(a1,a1),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182])).
% 26.47/26.30 cnf(2904,plain,
% 26.47/26.30 (P3(f58(f57(a76,a81),f2(f84(a1,a1))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172])).
% 26.47/26.30 cnf(2907,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x29071),x29071))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(2910,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x29101),x29101))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(2917,plain,
% 26.47/26.30 (P3(f58(f57(a76,x29171),x29171))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2921,plain,
% 26.47/26.30 (P3(f58(f57(a75,f84(a5,a5)),a5))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141])).
% 26.47/26.30 cnf(2922,plain,
% 26.47/26.30 (P3(f58(f57(a76,x29221),x29221))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(2928,plain,
% 26.47/26.30 (~P3(f58(f57(a76,a1),f84(a5,a5)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111])).
% 26.47/26.30 cnf(2930,plain,
% 26.47/26.30 (~P3(f58(f57(a76,a5),f84(a5,a5)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109])).
% 26.47/26.30 cnf(2940,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x29401),f4(f38(f59(a79,x29401)))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870])).
% 26.47/26.30 cnf(2942,plain,
% 26.47/26.30 (P3(f56(f59(a79,a105),f4(f51(f59(a79,a105)))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836])).
% 26.47/26.30 cnf(2950,plain,
% 26.47/26.30 (P3(f62(f63(a78,x29501),f85(f99(f70(x29502,x29502),x29503),x29501)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461])).
% 26.47/26.30 cnf(2954,plain,
% 26.47/26.30 (P3(f56(f59(a9,f61(f89(f4(f2(a5))),x29541)),f61(f89(f86(f4(f2(a5)),f4(f2(a5)))),x29541)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423])).
% 26.47/26.30 cnf(2962,plain,
% 26.47/26.30 (~P3(f58(f57(a76,f55(a92,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f55(a92,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397])).
% 26.47/26.30 cnf(2972,plain,
% 26.47/26.30 (~P3(f62(f63(a78,f70(f3(a1),f3(a5))),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,309,1961,2281,2407,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312])).
% 26.47/26.30 cnf(3014,plain,
% 26.47/26.30 (P3(f58(f57(a11,f55(a92,f4(f8(x30141)))),x30141))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238])).
% 26.47/26.30 cnf(3015,plain,
% 26.47/26.30 (P3(f56(f59(a9,x30151),x30151))),
% 26.47/26.30 inference(rename_variables,[],[309])).
% 26.47/26.30 cnf(3017,plain,
% 26.47/26.30 (P3(f56(f59(a9,f4(f8(f55(a92,f4(f8(f55(a92,x30171))))))),x30171))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214])).
% 26.47/26.30 cnf(3027,plain,
% 26.47/26.30 (P3(f58(f57(a11,f55(a92,x30271)),f55(a92,x30271)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195])).
% 26.47/26.30 cnf(3053,plain,
% 26.47/26.30 (P3(f56(f59(a77,x30531),f86(f86(x30531,x30532),a73)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955])).
% 26.47/26.30 cnf(3055,plain,
% 26.47/26.30 (P3(f58(f57(a11,x30551),a81))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,249,234,222,223,354,1852,1881,2021,2230,2276,2413,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951])).
% 26.47/26.30 cnf(3056,plain,
% 26.47/26.30 (P3(f58(f103(x30561,x30561),x30562))),
% 26.47/26.30 inference(rename_variables,[],[354])).
% 26.47/26.30 cnf(3066,plain,
% 26.47/26.30 (P3(f56(f59(a77,f86(a105,x30661)),x30661))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827])).
% 26.47/26.30 cnf(3076,plain,
% 26.47/26.30 (~P3(f58(f57(a76,f84(f84(a1,a1),a72)),f84(f84(a5,a5),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715])).
% 26.47/26.30 cnf(3082,plain,
% 26.47/26.30 (~P3(f58(f57(a75,f84(f84(a5,a5),a72)),f84(a5,a5)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703])).
% 26.47/26.30 cnf(3088,plain,
% 26.47/26.30 (P3(f58(f103(f97(f69(x30881,a72),f69(x30881,a72)),a72),x30881))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641])).
% 26.47/26.30 cnf(3089,plain,
% 26.47/26.30 (P3(f58(f103(x30891,x30891),x30892))),
% 26.47/26.30 inference(rename_variables,[],[354])).
% 26.47/26.30 cnf(3099,plain,
% 26.47/26.30 (P3(f58(f103(f55(f87(a82),x30991),f55(f87(a27),x30991)),f84(f97(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a6),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558])).
% 26.47/26.30 cnf(3111,plain,
% 26.47/26.30 (P3(f56(f59(a77,f68(f86(x31111,x31112),x31112)),x31111))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346])).
% 26.47/26.30 cnf(3112,plain,
% 26.47/26.30 (P3(f56(f59(a77,x31121),x31121))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3122,plain,
% 26.47/26.30 (P3(f62(f63(a78,f85(f99(f70(x31221,x31221),x31222),x31223)),x31223))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754])).
% 26.47/26.30 cnf(3123,plain,
% 26.47/26.30 (P3(f62(f63(a78,x31231),x31231))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3125,plain,
% 26.47/26.30 (P3(f62(f63(a78,x31251),f85(f99(f70(x31252,x31252),x31253),f85(f99(f70(x31252,x31252),x31253),x31251))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743])).
% 26.47/26.30 cnf(3127,plain,
% 26.47/26.30 (~E(a37,x31271)+P2(x31271)),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120])).
% 26.47/26.30 cnf(3128,plain,
% 26.47/26.30 (~P3(f62(f63(a80,a104),f85(f60(f88(f3(a1)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f60(f88(f3(a1)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804])).
% 26.47/26.30 cnf(3130,plain,
% 26.47/26.30 (~P3(f58(f57(a75,a81),f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786])).
% 26.47/26.30 cnf(3133,plain,
% 26.47/26.30 (~E(f84(f84(a72,x31331),x31331),a81)),
% 26.47/26.30 inference(rename_variables,[],[566])).
% 26.47/26.30 cnf(3141,plain,
% 26.47/26.30 (P3(f58(f57(a75,a81),f55(f87(f8(a72)),x31411)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976])).
% 26.47/26.30 cnf(3149,plain,
% 26.47/26.30 (P1(f97(a72,a72))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741])).
% 26.47/26.30 cnf(3151,plain,
% 26.47/26.30 (P1(f84(a5,a5))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740])).
% 26.47/26.30 cnf(3153,plain,
% 26.47/26.30 (P1(f69(a72,a72))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739])).
% 26.47/26.30 cnf(3157,plain,
% 26.47/26.30 (~E(f55(f87(a72),x31571),a81)),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727])).
% 26.47/26.30 cnf(3176,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x31761),x31761))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(3180,plain,
% 26.47/26.30 (P3(f62(f63(a78,f85(f99(f3(a1),f3(a1)),f99(f3(a1),f3(a1)))),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634])).
% 26.47/26.30 cnf(3182,plain,
% 26.47/26.30 (~P3(f62(f63(a78,f99(a74,a74)),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422])).
% 26.47/26.30 cnf(3190,plain,
% 26.47/26.30 (P3(f62(f63(a80,f85(f85(f3(a5),f3(a5)),f85(f3(a5),f3(a5)))),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384])).
% 26.47/26.30 cnf(3194,plain,
% 26.47/26.30 (P3(f62(f63(a78,f99(a104,a104)),a104))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,412,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379])).
% 26.47/26.30 cnf(3195,plain,
% 26.47/26.30 (P3(f62(f63(a78,x31951),x31951))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3198,plain,
% 26.47/26.30 (P3(f62(f63(a78,x31981),x31981))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3201,plain,
% 26.47/26.30 (P3(f56(f59(a77,x32011),x32011))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3204,plain,
% 26.47/26.30 (P3(f56(f59(a77,f68(x32041,x32042)),x32041))),
% 26.47/26.30 inference(rename_variables,[],[464])).
% 26.47/26.30 cnf(3205,plain,
% 26.47/26.30 (P3(f56(f59(a77,x32051),x32051))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3208,plain,
% 26.47/26.30 (P3(f58(f57(a76,x32081),x32081))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3216,plain,
% 26.47/26.30 (P3(f62(f63(a80,a74),f60(f88(f85(a74,a74)),a100)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,410,2080,2105,2156,2234,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338])).
% 26.47/26.30 cnf(3217,plain,
% 26.47/26.30 (P3(f62(f63(a80,x32171),f85(x32171,a74)))),
% 26.47/26.30 inference(rename_variables,[],[410])).
% 26.47/26.30 cnf(3219,plain,
% 26.47/26.30 (P3(f56(f59(a79,a73),f61(f89(f86(a73,a73)),a100)))),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,410,2080,2105,2156,2234,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337])).
% 26.47/26.30 cnf(3220,plain,
% 26.47/26.30 (P3(f56(f59(a79,x32201),f86(x32201,a73)))),
% 26.47/26.30 inference(rename_variables,[],[409])).
% 26.47/26.30 cnf(3242,plain,
% 26.47/26.30 (~E(f84(f84(f84(a72,a72),f84(a72,a72)),a72),a5)),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,410,2080,2105,2156,2234,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790])).
% 26.47/26.30 cnf(3247,plain,
% 26.47/26.30 (~E(f84(f84(f84(a72,a72),a72),f84(f84(a72,a72),a72)),a1)),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,410,2080,2105,2156,2234,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696])).
% 26.47/26.30 cnf(3250,plain,
% 26.47/26.30 (~E(f84(a72,a72),a81)),
% 26.47/26.30 inference(scs_inference,[],[503,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,410,2080,2105,2156,2234,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695])).
% 26.47/26.30 cnf(3254,plain,
% 26.47/26.30 (E(f84(a81,a81),a1)),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,410,2080,2105,2156,2234,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655])).
% 26.47/26.30 cnf(3266,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f98(f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100),f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,410,2080,2105,2156,2234,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174])).
% 26.47/26.30 cnf(3267,plain,
% 26.47/26.30 (P3(f56(f59(a77,x32671),f98(x32671,x32671)))),
% 26.47/26.30 inference(rename_variables,[],[415])).
% 26.47/26.30 cnf(3278,plain,
% 26.47/26.30 (P3(f62(f63(a80,x32781),f85(x32781,a74)))),
% 26.47/26.30 inference(rename_variables,[],[410])).
% 26.47/26.30 cnf(3280,plain,
% 26.47/26.30 (~P3(f56(f59(a9,f61(f89(f86(a73,a73)),f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f61(f89(f86(a73,a73)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,410,2080,2105,2156,2234,3217,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671])).
% 26.47/26.30 cnf(3281,plain,
% 26.47/26.30 (P3(f56(f59(a79,x32811),f86(x32811,a73)))),
% 26.47/26.30 inference(rename_variables,[],[409])).
% 26.47/26.30 cnf(3283,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f61(f89(f86(a73,a73)),f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f61(f89(f86(a73,a73)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,410,2080,2105,2156,2234,3217,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670])).
% 26.47/26.30 cnf(3284,plain,
% 26.47/26.30 (P3(f56(f59(a79,x32841),f86(x32841,a73)))),
% 26.47/26.30 inference(rename_variables,[],[409])).
% 26.47/26.30 cnf(3286,plain,
% 26.47/26.30 (~P3(f58(f57(a76,f55(f87(a91),f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f55(f87(a91),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,410,2080,2105,2156,2234,3217,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668])).
% 26.47/26.30 cnf(3289,plain,
% 26.47/26.30 (P3(f62(f63(a80,x32891),f85(x32891,a74)))),
% 26.47/26.30 inference(rename_variables,[],[410])).
% 26.47/26.30 cnf(3291,plain,
% 26.47/26.30 (~P3(f56(f59(a79,f61(f89(a100),x32911)),f61(f89(a100),a105)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,410,2080,2105,2156,2234,3217,3278,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664])).
% 26.47/26.30 cnf(3294,plain,
% 26.47/26.30 (P3(f56(f59(a79,x32941),f86(x32941,a73)))),
% 26.47/26.30 inference(rename_variables,[],[409])).
% 26.47/26.30 cnf(3301,plain,
% 26.47/26.30 (P3(f62(f63(a78,x33011),x33011))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3303,plain,
% 26.47/26.30 (P3(f62(f63(a78,f60(f88(f85(a74,a74)),a105)),f60(f88(f85(a74,a74)),x33031)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,410,2080,2105,2156,2234,3217,3278,3289,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574])).
% 26.47/26.30 cnf(3304,plain,
% 26.47/26.30 (P3(f62(f63(a80,x33041),f85(x33041,a74)))),
% 26.47/26.30 inference(rename_variables,[],[410])).
% 26.47/26.30 cnf(3307,plain,
% 26.47/26.30 (P3(f62(f63(a80,x33071),f85(x33071,a74)))),
% 26.47/26.30 inference(rename_variables,[],[410])).
% 26.47/26.30 cnf(3310,plain,
% 26.47/26.30 (P3(f56(f59(a77,x33101),f98(x33101,x33101)))),
% 26.47/26.30 inference(rename_variables,[],[415])).
% 26.47/26.30 cnf(3312,plain,
% 26.47/26.30 (P3(f56(f59(a77,f61(f89(f86(a73,a73)),a105)),f61(f89(f86(a73,a73)),x33121)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570])).
% 26.47/26.30 cnf(3313,plain,
% 26.47/26.30 (P3(f56(f59(a79,x33131),f86(x33131,a73)))),
% 26.47/26.30 inference(rename_variables,[],[409])).
% 26.47/26.30 cnf(3364,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f4(f2(f84(f84(a1,a1),a72)))),f4(f2(a1))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464])).
% 26.47/26.30 cnf(3366,plain,
% 26.47/26.30 (P3(f56(f59(a79,f4(f2(a1))),f4(f2(f84(a1,a72)))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,414,401,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411])).
% 26.47/26.30 cnf(3395,plain,
% 26.47/26.30 (~E(f68(a73,a105),a105)),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759])).
% 26.47/26.30 cnf(3398,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x33981),x33981))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(3400,plain,
% 26.47/26.30 (~P3(f56(f59(a9,f86(a100,a73)),f86(f86(a100,a73),a100)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359])).
% 26.47/26.30 cnf(3401,plain,
% 26.47/26.30 (P3(f56(f59(a9,x34011),x34011))),
% 26.47/26.30 inference(rename_variables,[],[309])).
% 26.47/26.30 cnf(3403,plain,
% 26.47/26.30 (~P3(f58(f57(a11,f55(a92,f86(a100,a73))),f69(f55(a92,a100),f55(a92,f86(a100,a73)))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,309,1961,2281,2407,2418,3015,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358])).
% 26.47/26.30 cnf(3406,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x34061),x34061))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(3415,plain,
% 26.47/26.30 (~P3(f58(f57(a11,a91),f84(f84(a72,f97(x34151,a81)),f97(a91,x34152))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,306,1923,2163,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718])).
% 26.47/26.30 cnf(3425,plain,
% 26.47/26.30 (P3(f58(f103(x34251,x34251),x34252))),
% 26.47/26.30 inference(rename_variables,[],[354])).
% 26.47/26.30 cnf(3439,plain,
% 26.47/26.30 (P3(f56(f59(a77,x34391),x34391))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3441,plain,
% 26.47/26.30 (P3(f56(f59(a77,f86(f98(f68(a105,a105),x34411),x34412)),x34412))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756])).
% 26.47/26.30 cnf(3442,plain,
% 26.47/26.30 (P3(f56(f59(a77,x34421),x34421))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3443,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x34431))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(3445,plain,
% 26.47/26.30 (P3(f56(f59(a77,x34451),f86(f98(f68(x34452,x34452),x34453),f86(f98(x34452,x34453),x34451))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747])).
% 26.47/26.30 cnf(3451,plain,
% 26.47/26.30 (~E(f84(f84(a72,x34511),x34511),a81)),
% 26.47/26.30 inference(rename_variables,[],[566])).
% 26.47/26.30 cnf(3456,plain,
% 26.47/26.30 (~E(f84(f84(a72,x34561),x34561),a81)),
% 26.47/26.30 inference(rename_variables,[],[566])).
% 26.47/26.30 cnf(3458,plain,
% 26.47/26.30 (~P3(f58(f57(a75,a81),f55(f87(f8(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),a100)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,3133,3451,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177])).
% 26.47/26.30 cnf(3463,plain,
% 26.47/26.30 (~E(f84(f84(a72,x34631),x34631),a81)),
% 26.47/26.30 inference(rename_variables,[],[566])).
% 26.47/26.30 cnf(3473,plain,
% 26.47/26.30 (~E(f84(x34731,a72),f84(x34731,a81))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,3133,3451,3456,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783])).
% 26.47/26.30 cnf(3483,plain,
% 26.47/26.30 (~P3(f58(f57(a76,f84(f97(a72,a72),f97(f84(f84(a72,a72),a72),f84(f84(a72,a72),a72)))),a81))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719])).
% 26.47/26.30 cnf(3490,plain,
% 26.47/26.30 (~P3(f58(f57(a11,a91),f55(a92,f17(f57(a11,a91)))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168])).
% 26.47/26.30 cnf(3501,plain,
% 26.47/26.30 (P3(f58(f57(a76,x35011),x35011))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3504,plain,
% 26.47/26.30 (P3(f58(f57(a76,x35041),x35041))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3506,plain,
% 26.47/26.30 (~P3(f58(f57(a76,a81),f84(f97(a91,f2(a5)),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654])).
% 26.47/26.30 cnf(3513,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x35131))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(3514,plain,
% 26.47/26.30 (P3(f56(f59(a77,x35141),x35141))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3520,plain,
% 26.47/26.30 (~P3(f58(f57(a75,a81),f84(f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805])).
% 26.47/26.30 cnf(3524,plain,
% 26.47/26.30 (~E(f97(a72,a72),a81)),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,300,572,575,288,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,589,585,592,1967,2095,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724])).
% 26.47/26.30 cnf(3531,plain,
% 26.47/26.30 (P3(f62(f63(a78,x35311),x35311))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3534,plain,
% 26.47/26.30 (P3(f62(f63(a78,x35341),x35341))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3537,plain,
% 26.47/26.30 (P3(f62(f63(a80,x35371),f85(x35371,a74)))),
% 26.47/26.30 inference(rename_variables,[],[410])).
% 26.47/26.30 cnf(3538,plain,
% 26.47/26.30 (P3(f62(f63(a78,x35381),x35381))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3542,plain,
% 26.47/26.30 (P3(f62(f63(a78,x35421),x35421))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3545,plain,
% 26.47/26.30 (P3(f62(f63(a78,x35451),x35451))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3548,plain,
% 26.47/26.30 (P3(f62(f63(a78,x35481),x35481))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3551,plain,
% 26.47/26.30 (P3(f56(f59(a77,x35511),x35511))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3552,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x35521))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(3555,plain,
% 26.47/26.30 (P3(f56(f59(a77,x35551),x35551))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3559,plain,
% 26.47/26.30 (P3(f56(f59(a77,x35591),x35591))),
% 26.47/26.30 inference(rename_variables,[],[308])).
% 26.47/26.30 cnf(3565,plain,
% 26.47/26.30 (P3(f58(f57(a76,x35651),x35651))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3568,plain,
% 26.47/26.30 (P3(f58(f57(a76,x35681),x35681))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3573,plain,
% 26.47/26.30 (P3(f58(f57(a76,x35731),x35731))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3581,plain,
% 26.47/26.30 (P3(f58(f57(a76,x35811),x35811))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3583,plain,
% 26.47/26.30 (~P3(f58(f57(a76,f84(f97(a91,a1),a72)),f84(f97(a91,a5),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738])).
% 26.47/26.30 cnf(3585,plain,
% 26.47/26.30 (~P3(f58(f103(a72,a81),f2(f84(f84(f84(a1,a1),a72),a72))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323])).
% 26.47/26.30 cnf(3587,plain,
% 26.47/26.30 (~E(f4(a72),f4(a81))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080])).
% 26.47/26.30 cnf(3590,plain,
% 26.47/26.30 (~E(f69(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a81),f69(a72,a81))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801])).
% 26.47/26.30 cnf(3599,plain,
% 26.47/26.30 (~P3(f58(f57(a76,a72),f2(a5)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478])).
% 26.47/26.30 cnf(3617,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f86(x36171,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f86(x36171,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453])).
% 26.47/26.30 cnf(3619,plain,
% 26.47/26.30 (P3(f56(f59(a9,f86(a100,a73)),f4(f8(f55(a92,f86(a100,a73))))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343])).
% 26.47/26.30 cnf(3623,plain,
% 26.47/26.30 (~E(f55(a92,x36231),a5)),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,251,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343,601,826])).
% 26.47/26.30 cnf(3627,plain,
% 26.47/26.30 (~P3(f62(f63(a78,a104),f99(a74,f3(a5))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,251,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343,601,826,614,1208])).
% 26.47/26.30 cnf(3629,plain,
% 26.47/26.30 (~P3(f62(f63(a78,a104),f99(f3(a5),a74)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,251,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343,601,826,614,1208,1207])).
% 26.47/26.30 cnf(3664,plain,
% 26.47/26.30 (P3(f62(f63(a78,x36641),x36641))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(3669,plain,
% 26.47/26.30 (P3(f62(f63(a78,f99(f3(a5),f99(x36691,x36691))),f99(f3(a5),a104)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,251,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,3548,3664,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343,601,826,614,1208,1207,1204,1203,823,768,767,764,763,762,760,657,904,1466,1465,1603,1601,1599,1512,1511,1510])).
% 26.47/26.30 cnf(3671,plain,
% 26.47/26.30 (~P3(f62(f63(a80,f99(x36711,f3(a1))),f99(x36712,f3(a1))))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,251,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,3548,3664,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343,601,826,614,1208,1207,1204,1203,823,768,767,764,763,762,760,657,904,1466,1465,1603,1601,1599,1512,1511,1510,1544])).
% 26.47/26.30 cnf(3675,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f4(a72)),f4(a81)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,251,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,3548,3664,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343,601,826,614,1208,1207,1204,1203,823,768,767,764,763,762,760,657,904,1466,1465,1603,1601,1599,1512,1511,1510,1544,1543,1333])).
% 26.47/26.30 cnf(3679,plain,
% 26.47/26.30 (P3(f58(f57(a76,x36791),f84(a72,a72)))+~P3(f58(f57(a11,x36791),f84(a72,a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,121,132,133,134,135,139,140,147,148,153,555,557,560,562,125,130,131,164,168,294,293,300,572,575,288,299,571,574,284,286,287,289,290,296,301,573,576,578,311,396,398,416,499,491,502,498,505,504,531,537,538,535,533,546,545,549,544,263,2070,2114,2227,2295,2329,2399,2404,189,193,195,565,2289,250,2116,2355,2358,2370,2374,2447,2453,2459,2465,251,181,244,259,260,249,234,566,3133,3451,3456,3463,222,223,568,354,1852,1881,2021,2230,2276,2413,3056,3089,3425,306,1923,2163,2305,307,1832,1838,1901,1986,2083,2108,2237,2286,2446,2452,2458,2464,2705,2711,2761,2772,2860,2895,2917,2922,3208,3501,3504,3565,3568,3573,3581,308,2048,2177,2308,2337,2349,2377,2386,2427,2431,3112,3201,3205,3439,3442,3514,3551,3555,3559,309,1961,2281,2407,2418,3015,3401,310,2077,2102,2188,2193,3123,3195,3198,3301,3531,3534,3538,3542,3545,3548,3664,583,1844,1847,1977,2054,2129,2224,2240,2790,2871,2874,2907,2910,3176,3398,3406,304,2270,2294,2298,2309,2428,3443,3513,3552,581,2380,2432,2445,2451,2457,2463,2727,2730,2733,570,1822,415,1952,1955,3267,3310,413,414,2255,401,2410,408,1826,1835,1841,1866,1892,1904,1964,2086,2111,2694,2708,2714,2754,2775,409,1958,2051,2153,2243,2246,2340,2352,2417,3220,3281,3284,3294,3313,410,2080,2105,2156,2234,3217,3278,3289,3304,3307,3537,412,464,3204,590,2273,2314,2317,2320,2323,2346,2383,2421,591,588,589,585,592,1967,2095,489,407,2369,512,1863,1972,2170,2,846,711,709,675,673,12,11,1770,1758,1633,1632,1631,1630,1113,1112,1038,975,967,966,965,964,942,941,934,930,924,890,889,882,859,856,853,852,833,1778,1166,1110,1025,1022,1020,1019,1018,1016,1015,1014,940,939,925,918,910,909,718,1459,1457,1450,1449,1448,1446,1441,1439,1435,1433,1328,1327,1324,1317,1300,1294,1259,1213,1171,1160,1136,1119,1118,1117,1092,1091,1089,1088,1087,1074,1073,1072,1071,1054,1053,1051,957,898,896,864,862,825,1075,915,914,913,912,911,839,1535,1534,1443,1437,1386,1385,1345,994,981,974,972,971,1006,1005,996,995,1762,1761,1760,1759,1753,1752,1751,1742,1741,1740,1734,1733,1732,1731,119,118,3,686,1017,707,1341,1226,1185,969,885,874,872,845,770,1793,1150,1149,1078,933,932,931,743,1425,1320,1318,1202,1173,1125,1122,1105,1614,1613,1611,1608,1606,1605,1591,1590,1588,1586,1552,1551,1549,1548,1508,1507,1506,1484,1482,993,937,920,1771,1525,1517,1380,1349,1243,1242,1076,1066,1055,1047,1045,1043,1042,1040,963,961,901,1794,1351,1339,1521,1134,999,998,908,907,1560,1559,1674,1563,1178,1577,1576,1130,1129,1240,1239,1212,1211,1765,1764,1755,1746,1745,1744,699,883,881,876,820,819,715,714,991,857,1013,1012,916,1472,979,888,887,880,879,878,1529,1475,1237,1406,919,1085,1676,1179,1344,1096,1808,1623,1750,1749,1728,1727,1796,1795,1785,1782,1780,1776,1729,1106,926,892,877,871,847,843,838,837,787,786,766,765,717,708,706,704,685,677,676,667,666,665,663,653,652,650,649,645,644,640,636,635,631,630,628,627,621,620,619,616,615,613,612,611,610,609,607,604,602,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,10,9,8,7,6,5,4,1788,1768,1748,1717,1716,1405,1404,1403,1402,1161,1102,1101,1098,1097,1084,1083,1082,1068,1035,1034,1008,1007,1004,1003,1002,1000,992,989,988,987,986,978,968,946,945,944,943,935,858,854,844,842,835,831,830,829,817,813,812,811,810,804,778,758,755,753,749,733,732,731,728,716,691,689,672,661,618,606,1659,1658,1657,1656,1655,1642,1547,1540,1539,1538,1537,1536,1530,1427,1426,1410,1409,1407,1252,1250,1249,1248,1247,1246,1183,1182,1181,1180,1172,1165,1164,1146,1144,1143,1142,1141,1140,1114,1111,1109,1108,1107,1104,1021,870,836,828,1787,1767,1461,1455,1423,1401,1399,1398,1397,1394,1392,1390,1340,1312,1310,1309,1308,1299,1297,1292,1290,1288,1286,1284,1282,1281,1280,1277,1274,1271,1266,1264,1256,1254,1238,1214,1201,1200,1198,1197,1195,1193,1190,1167,1158,1156,1155,1154,1052,1031,1030,1029,1027,955,951,949,897,868,866,827,1431,1253,1128,1792,1715,1713,1705,1703,1647,1645,1641,1629,1627,1581,1579,1558,1470,1468,1416,1415,1414,1346,1268,1261,1131,1103,1754,1743,120,1804,1786,1777,1774,1730,977,976,917,832,742,741,740,739,734,727,713,683,680,670,668,625,623,603,1163,929,1634,1422,1421,1413,1412,1384,1382,1379,1376,1372,1370,1367,1364,1356,1355,1338,1337,1336,1228,1227,1223,1217,1148,1147,923,793,791,790,697,696,695,656,655,1430,1360,1616,1348,1176,1174,1159,1151,958,1700,1673,1671,1670,1668,1666,1664,1663,1661,1615,1575,1574,1573,1571,1570,1569,1567,1566,1565,1509,1505,1504,1503,1502,1500,1498,1497,1490,1489,1485,1481,1480,1533,1526,1524,1523,1519,1516,1515,1464,1411,1381,1350,1334,1241,1236,1235,1234,1233,1170,985,984,902,759,1094,1359,1358,1093,1520,1070,1032,1718,1706,1675,1639,1638,1637,1636,1584,1583,1582,1541,1756,1747,1798,1797,1784,1783,1177,861,721,698,693,692,784,783,720,688,687,1720,1719,1711,947,1168,1330,1095,875,785,1555,1554,1654,1335,1050,1651,1133,1805,1775,724,702,1640,1696,1695,1694,1693,1692,1691,1688,1687,1686,1685,1684,1683,1680,1679,1132,928,1739,1738,1323,1080,801,1049,795,1479,1478,1477,1476,906,840,822,818,884,1463,1453,1343,601,826,614,1208,1207,1204,1203,823,768,767,764,763,762,760,657,904,1466,1465,1603,1601,1599,1512,1511,1510,1544,1543,1333,1329,1169])).
% 26.47/26.30 cnf(3683,plain,
% 26.47/26.30 (P3(f58(f57(a11,f55(a92,f4(f8(x36831)))),x36831))),
% 26.47/26.30 inference(rename_variables,[],[3014])).
% 26.47/26.30 cnf(3686,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x36861),x36861))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(3689,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x36891),x36891))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(3693,plain,
% 26.47/26.30 (~P3(f58(f57(a76,f2(f84(f84(a1,a1),a72))),a81))),
% 26.47/26.30 inference(scs_inference,[],[1969,3686,3014,2845,3679,1314,1313,1010,1009])).
% 26.47/26.30 cnf(3698,plain,
% 26.47/26.30 (P3(f58(f57(a11,f55(a92,f4(f8(x36981)))),x36981))),
% 26.47/26.30 inference(rename_variables,[],[3014])).
% 26.47/26.30 cnf(3701,plain,
% 26.47/26.30 (~E(f86(x37011,a100),x37011)),
% 26.47/26.30 inference(rename_variables,[],[1817])).
% 26.47/26.30 cnf(3705,plain,
% 26.47/26.30 (P3(f58(f57(a11,x37051),a81))),
% 26.47/26.30 inference(rename_variables,[],[3055])).
% 26.47/26.30 cnf(3706,plain,
% 26.47/26.30 (P3(f58(f57(a11,f55(a92,f4(f8(x37061)))),x37061))),
% 26.47/26.30 inference(rename_variables,[],[3014])).
% 26.47/26.30 cnf(3709,plain,
% 26.47/26.30 (~E(f84(x37091,a72),f84(x37091,a81))),
% 26.47/26.30 inference(rename_variables,[],[3473])).
% 26.47/26.30 cnf(3711,plain,
% 26.47/26.30 (P3(f56(f59(a79,f86(x37111,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f86(x37111,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))))),
% 26.47/26.30 inference(scs_inference,[],[133,2930,2025,1969,3686,3689,3617,3014,3683,3698,1817,3473,2437,2845,3055,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186])).
% 26.47/26.30 cnf(3712,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x37121),x37121))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(3715,plain,
% 26.47/26.30 (P1(f55(x37151,x37152))),
% 26.47/26.30 inference(rename_variables,[],[250])).
% 26.47/26.30 cnf(3718,plain,
% 26.47/26.30 (P1(f55(x37181,x37182))),
% 26.47/26.30 inference(rename_variables,[],[250])).
% 26.47/26.30 cnf(3720,plain,
% 26.47/26.30 (P3(f58(f103(x37201,x37202),f55(a92,f14(f103(x37201,x37202)))))),
% 26.47/26.30 inference(scs_inference,[],[503,312,250,3715,290,133,132,2930,2025,1969,3686,3689,3617,3014,3683,3698,1817,3473,2437,2845,3055,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115])).
% 26.47/26.30 cnf(3726,plain,
% 26.47/26.30 (P3(f56(f59(a77,x37261),f86(x37262,x37261)))),
% 26.47/26.30 inference(rename_variables,[],[413])).
% 26.47/26.30 cnf(3727,plain,
% 26.47/26.30 (P3(f56(f59(a77,x37271),f98(x37271,f98(x37271,x37271))))),
% 26.47/26.30 inference(rename_variables,[],[475])).
% 26.47/26.30 cnf(3731,plain,
% 26.47/26.30 (P3(f58(f57(a76,x37311),f55(f87(x37311),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(rename_variables,[],[512])).
% 26.47/26.30 cnf(3732,plain,
% 26.47/26.30 (P3(f58(f57(a75,x37321),f84(x37321,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(3737,plain,
% 26.47/26.30 (P3(f58(f57(a76,x37371),f55(f87(x37371),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(rename_variables,[],[512])).
% 26.47/26.30 cnf(3738,plain,
% 26.47/26.30 (P3(f58(f57(a75,x37381),f84(x37381,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(3741,plain,
% 26.47/26.30 (~E(f84(f84(a72,x37411),x37411),a81)),
% 26.47/26.30 inference(rename_variables,[],[566])).
% 26.47/26.30 cnf(3754,plain,
% 26.47/26.30 (~E(f86(x37541,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)),f86(x37541,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,475,506,312,250,3715,566,413,408,3732,512,3731,290,133,300,132,2035,2930,2319,2025,1969,3686,3689,3111,3617,3014,3683,3698,1817,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804])).
% 26.47/26.30 cnf(3757,plain,
% 26.47/26.30 (E(f55(x37571,f48(f55(x37571,a105),x37571,a105)),f55(x37571,a105))),
% 26.47/26.30 inference(rename_variables,[],[2455])).
% 26.47/26.30 cnf(3760,plain,
% 26.47/26.30 (P3(f62(f63(a80,f85(f99(x37601,x37602),x37603)),f85(f99(x37604,x37602),f85(f85(f99(f70(x37601,x37604),x37602),x37603),a74))))),
% 26.47/26.30 inference(rename_variables,[],[2079])).
% 26.47/26.30 cnf(3763,plain,
% 26.47/26.30 (P3(f58(f57(a75,f84(f97(x37631,x37632),x37633)),f84(f97(x37634,x37632),f84(f84(f97(f69(x37631,x37634),x37632),x37633),a72))))),
% 26.47/26.30 inference(rename_variables,[],[2085])).
% 26.47/26.30 cnf(3772,plain,
% 26.47/26.30 (~P3(f56(f59(a79,f86(x37721,x37722)),x37722))),
% 26.47/26.30 inference(rename_variables,[],[590])).
% 26.47/26.30 cnf(3778,plain,
% 26.47/26.30 (~P3(f56(f59(a79,f86(f68(x37781,x37782),x37782)),x37781))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,518,475,441,593,506,312,250,3715,566,583,413,408,3732,590,512,3731,290,133,300,132,2035,2930,2319,3627,2025,1969,3686,3689,3111,3617,3490,2079,2085,3014,3683,3698,2455,1817,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385])).
% 26.47/26.30 cnf(3779,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x37791),x37791))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(3783,plain,
% 26.47/26.30 (~P3(f58(f103(f55(a92,a100),f55(a92,f86(a100,a73))),f55(a92,f86(a100,a73))))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,518,475,441,593,506,312,416,250,3715,566,583,413,408,3732,590,512,3731,290,133,300,132,2035,2930,2319,3403,3627,2025,1969,3686,3689,3111,3617,3490,2079,2085,3014,3683,3698,2455,1817,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103])).
% 26.47/26.30 cnf(3791,plain,
% 26.47/26.30 (~P3(f58(f57(a75,f84(f97(f69(x37911,x37911),x37912),x37913)),x37913))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,518,475,441,593,536,506,312,416,250,3715,566,583,413,408,3732,590,512,3731,290,133,300,132,2035,2930,2319,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,2085,3014,3683,3698,2455,1817,2097,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759])).
% 26.47/26.30 cnf(3792,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x37921),x37921))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(3797,plain,
% 26.47/26.30 (P3(f58(f57(a75,x37971),f84(x37972,f97(f84(f8(f69(x37972,x37971)),a72),a72))))),
% 26.47/26.30 inference(rename_variables,[],[2698])).
% 26.47/26.30 cnf(3799,plain,
% 26.47/26.30 (P3(f62(f63(a80,x37991),f85(f99(f70(x37992,x37993),x37994),f85(f85(f99(f70(x37993,x37992),x37994),x37991),a74))))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,518,475,441,593,536,506,312,416,250,3715,566,583,413,408,3732,590,512,3731,290,133,300,132,2035,2930,2319,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3014,3683,3698,2698,2455,2104,1817,2097,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742])).
% 26.47/26.30 cnf(3801,plain,
% 26.47/26.30 (P3(f58(f57(a76,x38011),f84(f97(f69(x38012,x38012),x38013),x38011)))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,518,475,441,593,536,506,312,416,250,3715,566,307,583,413,408,3732,590,512,3731,290,133,300,132,2035,2930,2319,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3014,3683,3698,2698,2455,2104,1817,2097,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741])).
% 26.47/26.30 cnf(3802,plain,
% 26.47/26.30 (P3(f58(f57(a76,x38021),x38021))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3804,plain,
% 26.47/26.30 (P3(f58(f57(a75,x38041),f84(f97(f69(x38042,x38043),x38044),f84(f84(f97(f69(x38043,x38042),x38044),x38041),a72))))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,518,475,441,593,536,506,312,416,250,3715,566,307,583,413,408,3732,590,512,3731,290,133,300,132,2035,2930,2319,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3763,3014,3683,3698,2698,2455,2104,1817,2097,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740])).
% 26.47/26.30 cnf(3806,plain,
% 26.47/26.30 (~P3(f58(f57(a76,a1),f84(f97(f69(x38061,x38062),x38063),f84(f97(f69(x38062,x38061),x38063),a5))))),
% 26.47/26.30 inference(scs_inference,[],[503,170,466,518,475,441,593,536,506,312,416,250,3715,566,307,583,413,408,3732,590,512,3731,290,133,300,132,2035,2930,2319,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3763,3014,3683,3698,2698,2455,2090,2104,1817,2097,3291,3473,2437,2845,2798,3055,2851,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732])).
% 26.47/26.30 cnf(3824,plain,
% 26.47/26.30 (P3(f56(f59(a79,a73),f61(f89(f86(a73,a73)),a71)))),
% 26.47/26.30 inference(scs_inference,[],[503,170,298,466,518,475,441,593,536,506,312,121,416,250,3715,566,307,583,413,408,3732,409,590,512,3731,135,562,290,133,300,132,2035,3520,2930,2319,2509,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3763,3014,3683,3698,2698,2455,2090,2104,1817,2097,3291,3473,2437,2845,2798,3055,3190,2851,3250,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337])).
% 26.47/26.30 cnf(3825,plain,
% 26.47/26.30 (P3(f56(f59(a79,x38251),f86(x38251,a73)))),
% 26.47/26.30 inference(rename_variables,[],[409])).
% 26.47/26.30 cnf(3831,plain,
% 26.47/26.30 (P3(f62(f63(a78,a104),a74))),
% 26.47/26.30 inference(scs_inference,[],[503,170,298,466,518,475,441,593,536,506,312,121,416,250,3715,566,307,583,413,408,3732,409,590,512,3731,135,562,290,412,133,300,132,2035,3520,2930,2319,2509,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3763,3014,3683,3698,2698,2455,2090,2104,1817,2097,3291,3473,2437,2845,2798,2267,3055,3190,2851,3250,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208])).
% 26.47/26.30 cnf(3832,plain,
% 26.47/26.30 (P3(f62(f63(a78,a104),f99(x38321,x38321)))),
% 26.47/26.30 inference(rename_variables,[],[412])).
% 26.47/26.30 cnf(3834,plain,
% 26.47/26.30 (P3(f62(f63(a78,a104),f70(f3(a1),f3(a5))))),
% 26.47/26.30 inference(scs_inference,[],[503,170,298,466,518,475,441,593,536,506,312,121,416,250,3715,566,307,583,413,408,3732,409,590,512,3731,135,562,290,412,3832,133,300,132,2035,3520,2930,2319,2509,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3763,3014,3683,3698,2698,2455,2090,2104,1817,2097,3291,3473,2437,2845,2798,2267,3055,3190,2972,2851,3250,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207])).
% 26.47/26.30 cnf(3835,plain,
% 26.47/26.30 (P3(f62(f63(a78,a104),f99(x38351,x38351)))),
% 26.47/26.30 inference(rename_variables,[],[412])).
% 26.47/26.30 cnf(3837,plain,
% 26.47/26.30 (~P3(f58(f57(a76,a81),f97(a72,f84(f97(a91,f2(a5)),a72))))),
% 26.47/26.30 inference(scs_inference,[],[503,170,298,466,518,475,441,593,536,506,312,121,416,250,3715,566,307,583,413,408,3732,409,590,512,3731,135,562,290,412,3832,133,300,132,2035,3520,2930,2319,2509,3403,3627,2025,1969,3686,3689,3712,3111,3617,2094,3490,2079,3760,2085,3763,3014,3683,3698,2698,3506,2455,2090,2104,1817,2097,3291,3473,2437,2845,2798,2267,3055,3190,2972,2851,3250,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204])).
% 26.47/26.30 cnf(3848,plain,
% 26.47/26.30 (P3(f56(f59(a9,x38481),x38481))),
% 26.47/26.30 inference(rename_variables,[],[309])).
% 26.47/26.30 cnf(3853,plain,
% 26.47/26.30 (P3(f58(f57(a75,f69(x38531,f97(f84(f8(f69(x38531,x38532)),a72),a72))),x38532))),
% 26.47/26.30 inference(rename_variables,[],[2696])).
% 26.47/26.30 cnf(3854,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x38541),x38541))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(3857,plain,
% 26.47/26.30 (E(f55(x38571,f48(f55(x38571,a105),x38571,a105)),f55(x38571,a105))),
% 26.47/26.30 inference(rename_variables,[],[2455])).
% 26.47/26.30 cnf(3858,plain,
% 26.47/26.30 (P3(f58(f57(a75,x38581),f84(x38581,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(3865,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x38651),x38651))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(3868,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x38681))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(3871,plain,
% 26.47/26.30 (P3(f58(f103(f97(x38711,x38712),f97(x38713,x38712)),x38712))),
% 26.47/26.30 inference(rename_variables,[],[482])).
% 26.47/26.30 cnf(3874,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x38741),x38741))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(3876,plain,
% 26.47/26.30 (E(f86(f4(f2(f84(f84(a1,a1),a72))),f4(f2(f84(f84(a1,a1),a72)))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,141,170,298,452,466,518,548,550,475,441,593,536,506,312,482,121,416,499,250,3715,566,307,309,583,3779,304,413,408,3732,3738,409,590,512,3731,135,562,290,412,3832,133,300,132,2035,3520,2930,2319,2115,2509,3403,3627,2025,1969,3686,3689,3712,3792,3854,3111,3617,2094,2696,3490,2079,3760,2085,3763,3014,3683,3698,2698,3506,2455,3757,2090,2104,1817,2097,3291,3473,2437,2845,2798,2847,2267,3055,3190,2972,2851,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105])).
% 26.47/26.30 cnf(3889,plain,
% 26.47/26.30 (P3(f56(f59(a77,x38891),f98(x38891,f98(x38891,x38891))))),
% 26.47/26.30 inference(rename_variables,[],[475])).
% 26.47/26.30 cnf(3890,plain,
% 26.47/26.30 (P3(f56(f59(a77,x38901),f98(x38901,f98(x38901,x38901))))),
% 26.47/26.30 inference(rename_variables,[],[475])).
% 26.47/26.30 cnf(3893,plain,
% 26.47/26.30 (P3(f58(f57(a76,x38931),x38931))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(3897,plain,
% 26.47/26.30 (P3(f62(f63(a78,f99(f85(f99(x38971,x38971),f99(x38972,x38972)),a104)),f99(f85(f99(x38971,x38971),f99(x38972,x38972)),f85(f99(x38971,x38971),f99(x38972,x38972)))))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,141,170,298,452,466,518,548,550,475,3727,3890,441,510,593,536,506,312,482,121,416,499,250,3715,566,307,3802,309,583,3779,3874,304,413,408,3732,3738,409,590,512,3731,489,135,562,287,290,412,3832,133,300,132,2035,2928,3520,2930,2319,2115,2509,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,3111,3617,3216,2094,2696,3490,2079,3760,2085,3763,3014,3683,3698,2698,3506,2455,3757,2090,2104,1817,2097,3291,3473,2437,2845,2798,2847,2267,3055,3190,2972,2851,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502])).
% 26.47/26.30 cnf(3904,plain,
% 26.47/26.30 (~P3(f58(f57(a75,f55(f87(x39041),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a81))),
% 26.47/26.30 inference(rename_variables,[],[593])).
% 26.47/26.30 cnf(3910,plain,
% 26.47/26.30 (P3(f56(f59(a9,f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))),f4(f8(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))))))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,141,170,298,452,466,518,548,550,475,3727,3890,441,510,593,536,506,312,482,121,416,499,250,3715,566,307,3802,309,583,3779,3874,304,413,408,3732,3738,409,590,512,3731,489,135,562,287,290,412,3832,133,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2509,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,2179,3111,3617,3216,2094,2696,3490,2079,3760,2085,3763,3014,3683,3698,2698,3506,2455,3757,2090,2104,1817,1960,2097,3291,3473,2437,2845,2798,2847,2267,3055,3190,2972,2851,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381])).
% 26.47/26.30 cnf(3911,plain,
% 26.47/26.30 (P3(f58(f57(a11,x39111),f55(a92,f4(f8(x39111)))))),
% 26.47/26.30 inference(rename_variables,[],[1960])).
% 26.47/26.30 cnf(3913,plain,
% 26.47/26.30 (P3(f58(f57(a11,f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))),f55(a92,f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))))))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,141,170,298,452,466,518,548,550,475,3727,3890,441,510,593,536,506,312,482,121,416,499,250,3715,566,307,3802,309,3848,583,3779,3874,304,413,408,3732,3738,409,590,512,3731,489,135,562,287,290,412,3832,133,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2509,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,2179,3111,3617,3216,2094,2696,3490,2079,3760,2085,3763,3014,3683,3698,2698,3506,2455,3757,2090,2104,1817,1960,2097,3291,3473,2437,2845,2798,2847,2267,3055,3190,2972,2851,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350])).
% 26.47/26.30 cnf(3914,plain,
% 26.47/26.30 (P3(f56(f59(a9,x39141),x39141))),
% 26.47/26.30 inference(rename_variables,[],[309])).
% 26.47/26.30 cnf(3917,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x39171),x39171))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(3920,plain,
% 26.47/26.30 (P3(f58(f57(a76,a81),f55(a92,x39201)))),
% 26.47/26.30 inference(rename_variables,[],[401])).
% 26.47/26.30 cnf(3929,plain,
% 26.47/26.30 (P3(f58(f57(a11,f55(a92,f4(f8(x39291)))),x39291))),
% 26.47/26.30 inference(rename_variables,[],[3014])).
% 26.47/26.30 cnf(3934,plain,
% 26.47/26.30 (P3(f62(f63(a78,a104),f85(f99(x39341,x39341),f99(x39342,x39342))))),
% 26.47/26.30 inference(rename_variables,[],[489])).
% 26.47/26.30 cnf(3937,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x39371))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(3940,plain,
% 26.47/26.30 (E(f70(f85(x39401,x39402),x39402),x39401)),
% 26.47/26.30 inference(rename_variables,[],[261])).
% 26.47/26.30 cnf(3955,plain,
% 26.47/26.30 (~P3(f56(f59(a79,f86(x39551,x39552)),x39552))),
% 26.47/26.30 inference(rename_variables,[],[590])).
% 26.47/26.30 cnf(3956,plain,
% 26.47/26.30 (~E(f86(x39561,a100),x39561)),
% 26.47/26.30 inference(rename_variables,[],[1817])).
% 26.47/26.30 cnf(3959,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x39591),x39591))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(3965,plain,
% 26.47/26.30 (E(f84(x39651,x39652),f84(x39652,x39651))),
% 26.47/26.30 inference(rename_variables,[],[239])).
% 26.47/26.30 cnf(3967,plain,
% 26.47/26.30 (P3(f58(f103(f97(f97(x39671,x39672),x39673),f97(f97(x39674,x39672),x39673)),x39672))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,141,170,298,452,466,518,548,550,239,261,3940,475,3727,3890,441,510,593,536,587,506,312,482,3871,121,416,499,250,3715,566,354,307,3802,309,3848,583,3779,3874,304,3868,413,401,408,3732,3738,409,590,3772,512,3731,489,135,562,287,290,412,3832,3835,133,576,286,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2485,2509,3149,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,3865,2179,2769,3111,3617,3216,2094,2954,2696,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,2090,2962,2104,1817,3701,1960,3599,2097,3291,3473,3709,2437,2845,2798,2847,2267,3055,3190,3180,2972,2851,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636])).
% 26.47/26.30 cnf(3969,plain,
% 26.47/26.30 (P3(f58(f103(x39691,x39691),x39692))),
% 26.47/26.30 inference(rename_variables,[],[354])).
% 26.47/26.30 cnf(3978,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x39781))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(3979,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f86(x39791,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f86(x39791,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(rename_variables,[],[3617])).
% 26.47/26.30 cnf(3984,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x39841),x39841))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(3990,plain,
% 26.47/26.30 (~E(f86(x39901,a100),x39901)),
% 26.47/26.30 inference(rename_variables,[],[1817])).
% 26.47/26.30 cnf(3993,plain,
% 26.47/26.30 (~E(f86(x39931,a100),x39931)),
% 26.47/26.30 inference(rename_variables,[],[1817])).
% 26.47/26.30 cnf(3996,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f86(x39961,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f86(x39961,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(rename_variables,[],[3617])).
% 26.47/26.30 cnf(3997,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x39971))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(4000,plain,
% 26.47/26.30 (~P3(f56(f59(a79,f86(x40001,x40002)),x40002))),
% 26.47/26.30 inference(rename_variables,[],[590])).
% 26.47/26.30 cnf(4003,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f86(x40031,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f86(x40031,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(rename_variables,[],[3617])).
% 26.47/26.30 cnf(4005,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)),f86(f98(f68(a105,a105),x40051),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,141,170,298,452,466,518,548,550,239,261,3940,318,475,3727,3890,441,510,593,536,587,506,312,482,3871,121,416,499,250,3715,566,354,307,3802,309,3848,583,3779,3874,3959,304,3868,3937,3978,3997,413,401,408,3732,3738,409,590,3772,3955,512,3731,489,135,562,287,290,412,3832,3835,133,576,286,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2485,2509,3149,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,3865,2179,2769,3111,3617,3979,3996,4003,3216,2094,2954,2696,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,2090,2962,2104,1817,3701,3956,3990,1960,3599,2097,3291,3473,3709,2437,2845,2798,2847,2267,3055,3190,3180,2972,2851,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745])).
% 26.47/26.30 cnf(4006,plain,
% 26.47/26.30 (~P3(f56(f59(a77,f86(x40061,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f86(x40061,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.30 inference(rename_variables,[],[3617])).
% 26.47/26.30 cnf(4007,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x40071))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(4009,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x40091),f86(f98(f68(a105,a105),x40092),x40091)))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,141,170,298,452,466,518,548,550,239,261,3940,318,475,3727,3890,441,510,593,536,587,506,312,482,3871,121,416,499,250,3715,566,354,307,3802,309,3848,583,3779,3874,3959,3984,304,3868,3937,3978,3997,4007,413,401,408,3732,3738,409,590,3772,3955,512,3731,489,135,562,287,290,412,3832,3835,133,576,286,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2485,2509,3149,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,3865,2179,2769,3111,3617,3979,3996,4003,3216,2094,2954,2696,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,2090,2962,2104,1817,3701,3956,3990,1960,3599,2097,3291,3473,3709,2437,2845,2798,2847,2267,3055,3190,3180,2972,2851,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744])).
% 26.47/26.30 cnf(4010,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x40101),x40101))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(4011,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x40111))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(4021,plain,
% 26.47/26.30 (P3(f58(f57(a11,f97(f84(f84(a72,a72),a72),a72)),f84(f84(a72,a72),a72)))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,136,141,154,170,298,452,466,518,548,550,239,261,3940,318,475,3727,3890,441,510,593,536,587,506,312,482,3871,121,416,499,250,3715,566,3741,354,307,3802,309,3848,583,3779,3874,3959,3984,304,3868,3937,3978,3997,4007,413,401,408,3732,3738,409,590,3772,3955,512,3731,489,135,562,287,290,412,3832,3835,131,133,576,286,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2485,2509,3149,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,3865,2179,2769,3111,3617,3979,3996,4003,3216,2094,2954,2696,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,1828,2090,2962,2104,1817,3701,3956,3990,1960,3599,2097,3291,3473,3709,2437,2845,2798,2847,2267,3055,3190,3180,2972,2851,3587,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947])).
% 26.47/26.30 cnf(4022,plain,
% 26.47/26.30 (~E(f84(f84(a72,x40221),x40221),a81)),
% 26.47/26.30 inference(rename_variables,[],[566])).
% 26.47/26.30 cnf(4027,plain,
% 26.47/26.30 (P3(f58(f57(a76,a81),f55(a92,x40271)))),
% 26.47/26.30 inference(rename_variables,[],[401])).
% 26.47/26.30 cnf(4033,plain,
% 26.47/26.30 (~P3(f58(f57(a76,a81),f84(f97(f84(a72,f55(a92,a71)),f84(f97(a91,f2(a5)),a72)),a81)))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,136,141,154,170,298,452,466,518,548,550,239,261,3940,318,475,3727,3890,441,510,593,536,587,506,312,482,3871,121,416,499,250,3715,566,3741,354,307,3802,309,3848,583,3779,3874,3959,3984,304,3868,3937,3978,3997,4007,413,401,3920,408,3732,3738,409,590,3772,3955,512,3731,489,502,135,562,287,290,412,3832,3835,131,133,576,286,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,3865,2179,2769,3111,3617,3979,3996,4003,3266,3216,2094,2954,2696,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,1828,2090,2962,2104,1817,3701,3956,3990,1960,3599,2097,2396,3291,3473,3709,2437,2845,2798,2847,2267,3055,3190,3180,2972,2851,3587,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654])).
% 26.47/26.30 cnf(4041,plain,
% 26.47/26.30 (P3(f62(f63(a78,x40411),x40411))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(4044,plain,
% 26.47/26.30 (P3(f62(f63(a78,x40441),x40441))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(4048,plain,
% 26.47/26.30 (P3(f62(f63(a78,x40481),x40481))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(4051,plain,
% 26.47/26.30 (~E(f84(f84(a72,x40511),x40511),a81)),
% 26.47/26.30 inference(rename_variables,[],[566])).
% 26.47/26.30 cnf(4054,plain,
% 26.47/26.30 (P3(f58(f57(a76,x40541),x40541))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(4068,plain,
% 26.47/26.30 (~P3(f62(f63(a80,f85(f10(f85(f99(f70(x40681,x40681),x40682),x40683)),a74)),x40683))),
% 26.47/26.30 inference(scs_inference,[],[503,1810,136,141,154,170,298,452,466,518,532,548,550,239,261,3940,318,475,3727,3890,441,510,593,536,587,506,312,292,482,3871,121,139,416,499,250,3715,234,566,3741,4022,354,307,3802,3893,309,3848,310,4041,4044,583,3779,3874,3959,3984,304,3868,3937,3978,3997,4007,413,401,3920,408,3732,3738,409,590,3772,3955,512,3731,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3627,2025,1969,3686,3689,3712,3792,3854,3865,2179,2769,3111,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,1828,2090,2962,2104,1817,3701,3956,3990,1960,3599,2097,2396,3291,3473,3709,2437,2845,2798,2847,2267,3055,3190,3180,2972,2851,3587,3250,3242,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292])).
% 26.47/26.30 cnf(4088,plain,
% 26.47/26.30 (P3(f62(f63(a78,x40881),x40881))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(4091,plain,
% 26.47/26.30 (P3(f58(f57(a76,x40911),x40911))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(4104,plain,
% 26.47/26.30 (~P3(f56(f59(a79,x41041),x41041))),
% 26.47/26.30 inference(rename_variables,[],[583])).
% 26.47/26.30 cnf(4107,plain,
% 26.47/26.30 (P3(f58(f57(a11,x41071),f55(a92,f4(f8(x41071)))))),
% 26.47/26.30 inference(rename_variables,[],[1960])).
% 26.47/26.30 cnf(4113,plain,
% 26.47/26.30 (P3(f56(f59(a77,a105),x41131))),
% 26.47/26.30 inference(rename_variables,[],[304])).
% 26.47/26.30 cnf(4116,plain,
% 26.47/26.30 (P1(f55(x41161,x41162))),
% 26.47/26.30 inference(rename_variables,[],[250])).
% 26.47/26.30 cnf(4119,plain,
% 26.47/26.30 (P3(f58(f57(a76,x41191),x41191))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(4121,plain,
% 26.47/26.30 (E(f4(f55(a92,f48(f55(a92,a105),a92,a105))),a105)),
% 26.47/26.30 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,234,566,3741,4022,354,307,3802,3893,4054,4091,309,3848,310,4041,4044,4048,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,408,3732,3738,409,590,3772,3955,512,3731,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,1969,3686,3689,3712,3792,3854,3865,2179,2769,3111,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1960,3911,3599,2097,2396,3291,3473,3709,2437,2845,2798,2847,2267,3055,3483,2702,3190,3180,2972,2851,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888])).
% 26.47/26.30 cnf(4123,plain,
% 26.47/26.30 (P1(f55(x41231,x41232))),
% 26.47/26.30 inference(rename_variables,[],[250])).
% 26.47/26.30 cnf(4124,plain,
% 26.47/26.30 (P3(f58(f57(a76,a81),f55(a92,x41241)))),
% 26.47/26.30 inference(rename_variables,[],[401])).
% 26.47/26.30 cnf(4127,plain,
% 26.47/26.30 (~P3(f58(f57(a75,x41271),x41271))),
% 26.47/26.30 inference(rename_variables,[],[1969])).
% 26.47/26.30 cnf(4130,plain,
% 26.47/26.30 (P3(f62(f63(a78,x41301),x41301))),
% 26.47/26.30 inference(rename_variables,[],[310])).
% 26.47/26.30 cnf(4133,plain,
% 26.47/26.30 (P3(f58(f57(a76,x41331),x41331))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(4137,plain,
% 26.47/26.30 (P3(f58(f57(a76,x41371),x41371))),
% 26.47/26.30 inference(rename_variables,[],[307])).
% 26.47/26.30 cnf(4140,plain,
% 26.47/26.30 (P3(f58(f57(a75,x41401),f84(x41401,a72)))),
% 26.47/26.30 inference(rename_variables,[],[408])).
% 26.47/26.30 cnf(4143,plain,
% 26.47/26.30 (P3(f58(f57(a76,a81),f55(a92,x41431)))),
% 26.47/26.30 inference(rename_variables,[],[401])).
% 26.47/26.31 cnf(4144,plain,
% 26.47/26.31 (P1(f55(x41441,x41442))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(4146,plain,
% 26.47/26.31 (P3(f58(f57(a75,a81),f84(f84(a72,a72),a72)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,1969,3686,3689,3712,3792,3854,3865,3917,2179,2769,3111,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1960,3911,3599,2097,2396,3291,3675,3473,3709,2437,2845,2798,2847,2267,3055,3483,2702,2802,3190,3180,2972,2851,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928])).
% 26.47/26.31 cnf(4147,plain,
% 26.47/26.31 (~E(f84(f84(a72,x41471),x41471),a81)),
% 26.47/26.31 inference(rename_variables,[],[566])).
% 26.47/26.31 cnf(4154,plain,
% 26.47/26.31 (E(f4(a5),a105)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,1969,3686,3689,3712,3792,3854,3865,3917,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1960,3911,3599,2097,2396,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,2702,2802,3190,3180,2972,2851,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842])).
% 26.47/26.31 cnf(4171,plain,
% 26.47/26.31 (~P3(f58(f57(a75,x41711),x41711))),
% 26.47/26.31 inference(rename_variables,[],[1969])).
% 26.47/26.31 cnf(4176,plain,
% 26.47/26.31 (~E(f8(a91),a72)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1819,1960,3911,3599,2097,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813])).
% 26.47/26.31 cnf(4180,plain,
% 26.47/26.31 (P3(f58(f57(a76,f84(f84(a5,a5),a72)),f84(f84(a1,a1),a72)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1819,1960,3911,3599,2097,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896])).
% 26.47/26.31 cnf(4184,plain,
% 26.47/26.31 (P3(f56(f59(a9,x41841),f68(x41841,x41841)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1819,1960,3911,3599,2097,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339])).
% 26.47/26.31 cnf(4188,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x41881),f98(f68(x41882,x41882),x41883)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1819,1960,3911,3599,2097,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271])).
% 26.47/26.31 cnf(4190,plain,
% 26.47/26.31 (~P3(f58(f57(a75,a1),f84(a5,a5)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1819,1960,3911,3599,2097,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979])).
% 26.47/26.31 cnf(4203,plain,
% 26.47/26.31 (~E(f70(x42031,x42031),f70(f3(a1),f3(a5)))),
% 26.47/26.31 inference(rename_variables,[],[2257])).
% 26.47/26.31 cnf(4205,plain,
% 26.47/26.31 (~E(f85(f99(x42051,x42052),f85(f99(x42053,x42052),a74)),f85(f99(x42054,x42052),f99(f70(x42053,f70(x42054,x42051)),x42052)))),
% 26.47/26.31 inference(rename_variables,[],[2074])).
% 26.47/26.31 cnf(4207,plain,
% 26.47/26.31 (~P3(f58(f57(a75,a81),f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097])).
% 26.47/26.31 cnf(4209,plain,
% 26.47/26.31 (P3(f58(f57(a75,a81),f84(f55(a92,f4(x42091)),a72)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068])).
% 26.47/26.31 cnf(4214,plain,
% 26.47/26.31 (~P3(f56(f59(a79,a105),f4(f84(f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,574,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964])).
% 26.47/26.31 cnf(4216,plain,
% 26.47/26.31 (~P3(f58(f57(a75,a81),f38(f59(a79,a105))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,574,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943])).
% 26.47/26.31 cnf(4217,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x42171),f4(f38(f59(a79,x42171)))))),
% 26.47/26.31 inference(rename_variables,[],[2940])).
% 26.47/26.31 cnf(4219,plain,
% 26.47/26.31 (~P3(f58(f57(a76,a72),f84(f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,574,489,3934,502,299,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934])).
% 26.47/26.31 cnf(4227,plain,
% 26.47/26.31 (~E(f86(x42271,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f86(f86(x42271,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)),x42272))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828])).
% 26.47/26.31 cnf(4229,plain,
% 26.47/26.31 (P3(f58(f57(a76,f84(f97(f69(x42291,x42291),x42292),x42293)),x42293))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,2107,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439])).
% 26.47/26.31 cnf(4230,plain,
% 26.47/26.31 (P3(f58(f57(a76,f84(f97(x42301,x42302),f84(f97(f69(x42303,x42301),x42302),x42304))),f84(f97(x42303,x42302),x42304)))),
% 26.47/26.31 inference(rename_variables,[],[2107])).
% 26.47/26.31 cnf(4232,plain,
% 26.47/26.31 (P3(f56(f59(a9,f4(f8(f55(a92,x42321)))),x42321))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,2107,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401])).
% 26.47/26.31 cnf(4233,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(x42331)))),x42331))),
% 26.47/26.31 inference(rename_variables,[],[3014])).
% 26.47/26.31 cnf(4237,plain,
% 26.47/26.31 (P3(f58(f57(a75,x42371),f97(f84(f8(f69(x42371,a81)),a72),a72)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,2107,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308])).
% 26.47/26.31 cnf(4238,plain,
% 26.47/26.31 (P3(f58(f57(a75,f69(x42381,f97(f84(f8(f69(x42381,x42382)),a72),a72))),x42382))),
% 26.47/26.31 inference(rename_variables,[],[2696])).
% 26.47/26.31 cnf(4240,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f55(a92,f4(x42401))),x42401))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,2107,1969,3686,3689,3712,3792,3854,3865,3917,4127,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300])).
% 26.47/26.31 cnf(4241,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x42411),x42411))),
% 26.47/26.31 inference(rename_variables,[],[583])).
% 26.47/26.31 cnf(4246,plain,
% 26.47/26.31 (~P3(f56(f59(a79,f86(x42461,x42462)),x42462))),
% 26.47/26.31 inference(rename_variables,[],[590])).
% 26.47/26.31 cnf(4253,plain,
% 26.47/26.31 (~P3(f58(f103(f69(f55(a92,a100),f55(a92,f86(a100,a73))),a81),f55(a92,f86(a100,a73))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,2025,2342,2107,1969,3686,3689,3712,3792,3854,3865,3917,4127,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951])).
% 26.47/26.31 cnf(4257,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f68(f86(x42571,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),x42571))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,1969,3686,3689,3712,3792,3854,3865,3917,4127,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386])).
% 26.47/26.31 cnf(4261,plain,
% 26.47/26.31 (~E(f99(f70(x42611,f70(x42612,x42613)),x42614),f85(f99(f70(x42613,x42612),x42614),f85(f99(x42611,x42614),a74)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,1969,3686,3689,3712,3792,3854,3865,3917,4127,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005])).
% 26.47/26.31 cnf(4264,plain,
% 26.47/26.31 (E(f85(x42641,x42642),f85(x42642,x42641))),
% 26.47/26.31 inference(rename_variables,[],[242])).
% 26.47/26.31 cnf(4269,plain,
% 26.47/26.31 (P3(f58(f57(a76,f84(f97(f69(x42691,x42692),x42693),f84(f97(f69(x42692,x42691),x42693),x42694))),x42694))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,242,4264,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752])).
% 26.47/26.31 cnf(4273,plain,
% 26.47/26.31 (~P3(f58(f57(a75,x42731),f84(f97(f69(x42732,x42732),x42733),x42731)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,550,239,3965,242,4264,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2088,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731])).
% 26.47/26.31 cnf(4274,plain,
% 26.47/26.31 (~P3(f58(f57(a75,x42741),x42741))),
% 26.47/26.31 inference(rename_variables,[],[1969])).
% 26.47/26.31 cnf(4283,plain,
% 26.47/26.31 (P1(f69(a6,a6))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,239,3965,242,4264,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2088,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739])).
% 26.47/26.31 cnf(4285,plain,
% 26.47/26.31 (~E(f55(f87(f84(a72,a72)),x42851),a81)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,239,3965,242,4264,261,3940,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2088,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727])).
% 26.47/26.31 cnf(4289,plain,
% 26.47/26.31 (E(f8(f55(f87(x42891),a105)),a72)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,239,3965,242,4264,261,3940,228,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2088,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603])).
% 26.47/26.31 cnf(4291,plain,
% 26.47/26.31 (~E(a91,f2(a5))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,239,3965,242,4264,261,3940,228,318,475,3727,3890,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,413,401,3920,4027,4124,408,3732,3738,3858,409,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,140,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,2698,3506,2455,3757,3857,1828,2088,2090,1963,2962,2104,1817,3701,3956,3990,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614])).
% 26.47/26.31 cnf(4294,plain,
% 26.47/26.31 (~E(f86(x42941,a100),x42941)),
% 26.47/26.31 inference(rename_variables,[],[1817])).
% 26.47/26.31 cnf(4301,plain,
% 26.47/26.31 (P3(f58(f57(a75,f69(x43011,f97(f84(f8(f69(x43011,x43012)),a72),a72))),x43012))),
% 26.47/26.31 inference(rename_variables,[],[2696])).
% 26.47/26.31 cnf(4304,plain,
% 26.47/26.31 (P3(f56(f59(a77,x43041),f98(x43041,f98(x43041,x43041))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4305,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x43051))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4308,plain,
% 26.47/26.31 (P3(f56(f59(a77,x43081),f98(x43081,f98(x43081,x43081))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4309,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x43091))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4314,plain,
% 26.47/26.31 (P3(f62(f63(a80,x43141),f85(x43141,a74)))),
% 26.47/26.31 inference(rename_variables,[],[410])).
% 26.47/26.31 cnf(4317,plain,
% 26.47/26.31 (P3(f58(f57(a75,x43171),f84(x43171,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(4334,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(x43341)))),x43341))),
% 26.47/26.31 inference(rename_variables,[],[3014])).
% 26.47/26.31 cnf(4343,plain,
% 26.47/26.31 (P3(f58(f57(a75,x43431),f84(x43431,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(4347,plain,
% 26.47/26.31 (P3(f62(f63(a80,f99(f85(a74,f10(x43471)),f3(a5))),f99(a104,f3(a5))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,239,3965,242,4264,261,3940,228,318,475,3727,3890,4304,4308,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,304,3868,3937,3978,3997,4007,4011,4113,4305,413,401,3920,4027,4124,408,3732,3738,3858,4140,4317,409,410,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,140,299,573,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,2053,2179,2769,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,3219,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,4233,2698,3506,2455,3757,3857,1828,2088,2090,1963,2962,2104,1817,3701,3956,3990,3993,1819,1960,3911,2257,3599,2097,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509])).
% 26.47/26.31 cnf(4356,plain,
% 26.47/26.31 (E(f64(a53,x43561,x43562),x43561)),
% 26.47/26.31 inference(rename_variables,[],[264])).
% 26.47/26.31 cnf(4359,plain,
% 26.47/26.31 (~P3(f62(f63(a80,f60(a93,x43591)),a104))),
% 26.47/26.31 inference(rename_variables,[],[587])).
% 26.47/26.31 cnf(4371,plain,
% 26.47/26.31 (P3(f58(f57(a76,x43711),x43711))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4380,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x43801),x43801))),
% 26.47/26.31 inference(rename_variables,[],[583])).
% 26.47/26.31 cnf(4386,plain,
% 26.47/26.31 (~P3(f58(f57(a11,f55(a92,f86(a100,a73))),f69(f69(f55(a92,a100),f55(a92,f86(a100,a73))),f55(a92,f86(a100,a73)))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,264,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,354,307,3802,3893,4054,4091,4119,4133,4137,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,4241,304,3868,3937,3978,3997,4007,4011,4113,4305,413,401,3920,4027,4124,408,3732,3738,3858,4140,4317,409,410,590,3772,3955,4000,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,4233,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358])).
% 26.47/26.31 cnf(4390,plain,
% 26.47/26.31 (P3(f58(f57(a76,x43901),x43901))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4401,plain,
% 26.47/26.31 (P3(f58(f103(x44011,x44011),x44012))),
% 26.47/26.31 inference(rename_variables,[],[354])).
% 26.47/26.31 cnf(4404,plain,
% 26.47/26.31 (P3(f58(f103(x44041,x44041),x44042))),
% 26.47/26.31 inference(rename_variables,[],[354])).
% 26.47/26.31 cnf(4407,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x44071),x44071))),
% 26.47/26.31 inference(rename_variables,[],[583])).
% 26.47/26.31 cnf(4410,plain,
% 26.47/26.31 (~P3(f56(f59(a79,a105),f68(x44101,x44101)))),
% 26.47/26.31 inference(rename_variables,[],[1981])).
% 26.47/26.31 cnf(4412,plain,
% 26.47/26.31 (E(f86(x44121,f18(f59(a79,a105),x44121,x44121)),x44121)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,264,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,304,3868,3937,3978,3997,4007,4011,4113,4305,413,401,3920,4027,4124,408,3732,3738,3858,4140,4317,409,410,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,3014,3683,3698,3706,3929,4233,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129])).
% 26.47/26.31 cnf(4422,plain,
% 26.47/26.31 (P3(f56(f59(a79,f86(f98(x44221,x44222),x44223)),f86(f98(x44221,x44222),f86(f86(f98(f68(x44221,x44221),x44222),x44223),a73))))),
% 26.47/26.31 inference(rename_variables,[],[2339])).
% 26.47/26.31 cnf(4423,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x44231))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4427,plain,
% 26.47/26.31 (~E(f84(f55(f87(f55(f87(a72),a105)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(f55(f87(a72),a105)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),a81)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,264,4356,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,413,3726,401,3920,4027,4124,408,3732,3738,3858,4140,4317,409,410,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,3014,3683,3698,3706,3929,4233,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784])).
% 26.47/26.31 cnf(4431,plain,
% 26.47/26.31 (~E(a5,a81)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,264,4356,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,413,3726,401,3920,4027,4124,408,3732,3738,3858,4140,4317,409,410,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,3014,3683,3698,3706,3929,4233,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699])).
% 26.47/26.31 cnf(4432,plain,
% 26.47/26.31 (~E(f84(x44321,x44321),a5)),
% 26.47/26.31 inference(rename_variables,[],[565])).
% 26.47/26.31 cnf(4443,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x44431),x44431))),
% 26.47/26.31 inference(rename_variables,[],[583])).
% 26.47/26.31 cnf(4448,plain,
% 26.47/26.31 (P3(f58(f57(a76,x44481),x44481))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4451,plain,
% 26.47/26.31 (P3(f58(f57(a76,x44511),x44511))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4454,plain,
% 26.47/26.31 (~E(f84(f84(a72,x44541),x44541),a81)),
% 26.47/26.31 inference(rename_variables,[],[566])).
% 26.47/26.31 cnf(4455,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(x44551)))),x44551))),
% 26.47/26.31 inference(rename_variables,[],[3014])).
% 26.47/26.31 cnf(4457,plain,
% 26.47/26.31 (~P3(f56(f59(a9,f4(a91)),f4(f55(a92,f17(f57(a11,a91))))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,452,466,518,532,548,597,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,309,3848,3914,310,4041,4044,4048,4088,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,413,3726,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,410,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,3014,3683,3698,3706,3929,4233,4334,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529])).
% 26.47/26.31 cnf(4458,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f55(a92,x44581)))),
% 26.47/26.31 inference(rename_variables,[],[401])).
% 26.47/26.31 cnf(4461,plain,
% 26.47/26.31 (P3(f56(f59(a9,x44611),x44611))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(4462,plain,
% 26.47/26.31 (P3(f56(f59(a79,x44621),f86(x44621,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(4467,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x44671),x44671))),
% 26.47/26.31 inference(rename_variables,[],[583])).
% 26.47/26.31 cnf(4470,plain,
% 26.47/26.31 (P3(f62(f63(a78,x44701),x44701))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4471,plain,
% 26.47/26.31 (P3(f62(f63(a78,x44711),x44711))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4475,plain,
% 26.47/26.31 (P3(f62(f63(a80,x44751),f85(x44751,a74)))),
% 26.47/26.31 inference(rename_variables,[],[410])).
% 26.47/26.31 cnf(4476,plain,
% 26.47/26.31 (P3(f62(f63(a78,x44761),x44761))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4479,plain,
% 26.47/26.31 (P3(f56(f59(a77,x44791),f98(x44791,f98(x44791,x44791))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4480,plain,
% 26.47/26.31 (P3(f56(f59(a77,x44801),f98(x44801,f98(x44801,x44801))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4481,plain,
% 26.47/26.31 (P3(f56(f59(a79,x44811),f86(x44811,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(4484,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x44841))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4485,plain,
% 26.47/26.31 (P3(f56(f59(a77,x44851),f98(x44851,f98(x44851,x44851))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4486,plain,
% 26.47/26.31 (P3(f56(f59(a79,x44861),f86(x44861,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(4488,plain,
% 26.47/26.31 (P3(f56(f59(a79,f98(a105,f98(a105,f98(a105,a105)))),f98(f86(a73,a73),f86(f98(a105,f98(a105,a105)),a73))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,518,532,548,597,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,3889,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,309,3848,3914,310,4041,4044,4048,4088,4130,4471,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,413,3726,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,3014,3683,3698,3706,3929,4233,4334,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685])).
% 26.47/26.31 cnf(4489,plain,
% 26.47/26.31 (P3(f56(f59(a77,x44891),f98(x44891,f98(x44891,x44891))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4490,plain,
% 26.47/26.31 (P3(f56(f59(a79,x44901),f86(x44901,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(4496,plain,
% 26.47/26.31 (E(x44961,f64(a37,x44962,f86(f98(f68(x44963,x44963),x44964),x44961)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,518,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,3889,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,531,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,309,3848,3914,310,4041,4044,4048,4088,4130,4471,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,413,3726,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,3014,3683,3698,3706,3929,4233,4334,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753])).
% 26.47/26.31 cnf(4504,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x45041,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f86(x45041,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.31 inference(rename_variables,[],[3617])).
% 26.47/26.31 cnf(4508,plain,
% 26.47/26.31 (~P3(f58(f57(a76,f97(a91,a1)),f97(a91,a5)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,518,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,3889,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,531,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,309,3848,3914,310,4041,4044,4048,4088,4130,4471,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,413,3726,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266])).
% 26.47/26.31 cnf(4510,plain,
% 26.47/26.31 (~P3(f56(f59(a9,f86(a100,a73)),f4(f8(f69(f55(a92,a100),f55(a92,f86(a100,a73)))))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,518,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,3889,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,531,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,309,3848,3914,310,4041,4044,4048,4088,4130,4471,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,413,3726,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238])).
% 26.47/26.31 cnf(4520,plain,
% 26.47/26.31 (P3(f58(f103(x45201,x45202),f55(a92,f4(f8(f69(x45201,x45202))))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,518,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,3889,441,510,593,3904,536,587,506,312,292,482,3871,121,139,416,499,531,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,309,3848,3914,310,4041,4044,4048,4088,4130,4471,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,413,3726,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131])).
% 26.47/26.31 cnf(4526,plain,
% 26.47/26.31 (P3(f62(f63(a78,x45261),x45261))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4529,plain,
% 26.47/26.31 (P3(f58(f57(a76,x45291),x45291))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4536,plain,
% 26.47/26.31 (P3(f62(f63(a78,f85(f99(f70(x45361,x45361),x45362),x45363)),x45363))),
% 26.47/26.31 inference(rename_variables,[],[3122])).
% 26.47/26.31 cnf(4548,plain,
% 26.47/26.31 (P3(f58(f103(x45481,x45481),x45482))),
% 26.47/26.31 inference(rename_variables,[],[354])).
% 26.47/26.31 cnf(4553,plain,
% 26.47/26.31 (P3(f56(f59(a77,x45531),f86(x45531,x45532)))),
% 26.47/26.31 inference(rename_variables,[],[414])).
% 26.47/26.31 cnf(4556,plain,
% 26.47/26.31 (P3(f56(f59(a9,x45561),x45561))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(4558,plain,
% 26.47/26.31 (~E(f68(f86(f86(x45581,a105),a100),a105),x45581)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,518,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,3889,441,510,593,3904,536,587,506,312,488,292,482,3871,121,139,416,499,531,565,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,309,3848,3914,4461,310,4041,4044,4048,4088,4130,4471,4476,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907])).
% 26.47/26.31 cnf(4560,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x45601))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4563,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x45631))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4564,plain,
% 26.47/26.31 (P3(f56(f59(a77,x45641),f98(x45641,f98(x45641,x45641))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4569,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),f84(a72,a72)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,3889,441,510,593,3904,536,587,506,312,488,292,482,3871,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,309,3848,3914,4461,310,4041,4044,4048,4088,4130,4471,4476,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,140,299,573,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876])).
% 26.47/26.31 cnf(4575,plain,
% 26.47/26.31 (P3(f58(f57(a76,x45751),x45751))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4579,plain,
% 26.47/26.31 (P3(f56(f59(a77,x45791),f98(x45791,f98(x45791,x45791))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4582,plain,
% 26.47/26.31 (P3(f58(f57(a75,x45821),f84(x45821,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(4587,plain,
% 26.47/26.31 (~P3(f62(f63(a78,f85(x45871,a104)),f85(x45871,f99(a74,f3(a5)))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,309,3848,3914,4461,310,4041,4044,4048,4088,4130,4471,4476,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3441,3617,3979,3996,4003,4006,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461])).
% 26.47/26.31 cnf(4589,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x45891,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x45891))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,309,3848,3914,4461,310,4041,4044,4048,4088,4130,4471,4476,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074])).
% 26.47/26.31 cnf(4593,plain,
% 26.47/26.31 (P1(f97(a6,a6))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,309,3848,3914,4461,310,4041,4044,4048,4088,4130,4471,4476,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,3599,2668,2097,1943,2334,2396,3669,3291,3675,3583,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741])).
% 26.47/26.31 cnf(4605,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x46051))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4609,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x46091))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4613,plain,
% 26.47/26.31 (P3(f56(f59(a77,x46131),f98(x46131,f98(x46131,x46131))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4614,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x46141))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4631,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x46311))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4632,plain,
% 26.47/26.31 (P3(f56(f59(a77,x46321),f98(x46321,f98(x46321,x46321))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4639,plain,
% 26.47/26.31 (E(f84(x46391,f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f84(x46391,a81))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,309,3848,3914,4461,310,4041,4044,4048,4088,4130,4471,4476,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,3587,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12])).
% 26.47/26.31 cnf(4650,plain,
% 26.47/26.31 (P3(f62(f63(a78,x46501),x46501))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4651,plain,
% 26.47/26.31 (P3(f62(f63(a78,x46511),x46511))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4654,plain,
% 26.47/26.31 (P3(f62(f63(a78,x46541),x46541))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4658,plain,
% 26.47/26.31 (P3(f62(f63(a78,x46581),x46581))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4661,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f97(x46611,x46611)))),
% 26.47/26.31 inference(rename_variables,[],[411])).
% 26.47/26.31 cnf(4663,plain,
% 26.47/26.31 (~P3(f56(f59(a9,a105),f68(a73,a105)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,3587,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562])).
% 26.47/26.31 cnf(4664,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x46641))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4665,plain,
% 26.47/26.31 (P3(f56(f59(a9,x46651),x46651))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(4667,plain,
% 26.47/26.31 (~E(f97(f84(a72,a72),f84(a72,a72)),a72)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893])).
% 26.47/26.31 cnf(4670,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f97(x46701,x46701)))),
% 26.47/26.31 inference(rename_variables,[],[411])).
% 26.47/26.31 cnf(4672,plain,
% 26.47/26.31 (P3(f58(f57(a76,x46721),x46721))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4678,plain,
% 26.47/26.31 (P3(f62(f63(a80,x46781),f85(f99(f70(x46782,x46782),x46783),f85(x46781,a74))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,4661,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459])).
% 26.47/26.31 cnf(4682,plain,
% 26.47/26.31 (P3(f58(f57(a75,x46821),f84(f97(f69(x46822,x46822),x46823),f84(x46821,a72))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,4661,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435])).
% 26.47/26.31 cnf(4684,plain,
% 26.47/26.31 (~P3(f62(f63(a78,f85(f99(f70(x46841,x46842),x46843),f85(f70(a104,f99(a74,f3(a5))),f85(f99(f70(x46842,x46841),x46843),x46844)))),x46844))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,4661,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762])).
% 26.47/26.31 cnf(4688,plain,
% 26.47/26.31 (E(f84(f84(a81,a81),f84(a81,a81)),a1)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,4661,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657])).
% 26.47/26.31 cnf(4690,plain,
% 26.47/26.31 (~E(f61(f89(f86(a73,a73)),a100),f61(f89(f86(a73,a73)),a105))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,4661,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933])).
% 26.47/26.31 cnf(4693,plain,
% 26.47/26.31 (~E(f60(f88(f85(a74,a74)),a100),f60(f88(f85(a74,a74)),a105))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,506,312,488,292,482,3871,411,4661,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,413,3726,414,401,3920,4027,4124,4143,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932])).
% 26.47/26.31 cnf(4699,plain,
% 26.47/26.31 (P3(f62(f63(a78,x46991),x46991))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4704,plain,
% 26.47/26.31 (~P3(f62(f63(a80,f60(a93,x47041)),a104))),
% 26.47/26.31 inference(rename_variables,[],[587])).
% 26.47/26.31 cnf(4722,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f55(a92,x47221)))),
% 26.47/26.31 inference(rename_variables,[],[401])).
% 26.47/26.31 cnf(4723,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x47231),a105))),
% 26.47/26.31 inference(rename_variables,[],[581])).
% 26.47/26.31 cnf(4729,plain,
% 26.47/26.31 (~E(f4(f97(a72,a72)),f4(a81))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080])).
% 26.47/26.31 cnf(4730,plain,
% 26.47/26.31 (P3(f58(f57(a76,x47301),x47301))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4735,plain,
% 26.47/26.31 (~P3(f62(f63(a78,f85(f70(a104,f99(a74,f3(a5))),f85(f99(f70(x47351,x47351),x47352),f60(f88(f3(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x47353)))),f60(f88(f3(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x47353)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080,1107,1297])).
% 26.47/26.31 cnf(4757,plain,
% 26.47/26.31 (P3(f62(f63(a80,a104),f99(f85(a74,f10(x47571)),f85(a74,f10(x47571)))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,2732,2319,3619,2115,2379,2328,2074,4205,2485,2509,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,4217,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1922,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080,1107,1297,874,1506,1241,1588,1586,1548,1234,1793,986,1226])).
% 26.47/26.31 cnf(4770,plain,
% 26.47/26.31 (E(f84(a6,f55(a92,f16(a6,a6))),a6)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,4704,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,4730,309,3848,3914,4461,4556,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4699,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,3128,2732,2319,3619,2115,2379,2328,2074,4205,2485,2509,2724,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,4217,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1922,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080,1107,1297,874,1506,1241,1588,1586,1548,1234,1793,986,1226,969,885,1606,1605,1549,993])).
% 26.47/26.31 cnf(4777,plain,
% 26.47/26.31 (~P3(f58(f57(a75,a81),f55(f87(f8(a1)),a100)))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,4704,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,4730,309,3848,3914,4461,4556,4665,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4699,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,3128,2732,2319,3619,2115,2379,2328,2074,4205,2485,2509,2724,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,4217,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1922,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080,1107,1297,874,1506,1241,1588,1586,1548,1234,1793,986,1226,969,885,1606,1605,1549,993,1351,1070,1177])).
% 26.47/26.31 cnf(4781,plain,
% 26.47/26.31 (~P3(f58(f57(a11,f97(f97(a72,a72),f55(a92,f86(a100,a73)))),f97(f97(a72,a72),f69(f55(a92,a100),f55(a92,f86(a100,a73))))))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,4704,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,4730,309,3848,3914,4461,4556,4665,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4699,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,3128,2732,2319,3619,2115,2379,2328,2074,4205,2485,2509,2724,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,2940,4217,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1922,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080,1107,1297,874,1506,1241,1588,1586,1548,1234,1793,986,1226,969,885,1606,1605,1549,993,1351,1070,1177,698,1472])).
% 26.47/26.31 cnf(4804,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a72))),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,4704,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,306,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,4730,309,3848,3914,4461,4556,4665,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4699,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,4582,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,3128,2732,2319,3619,2115,2379,2328,2074,4205,2485,2509,2724,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,3088,2940,4217,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1922,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080,1107,1297,874,1506,1241,1588,1586,1548,1234,1793,986,1226,969,885,1606,1605,1549,993,1351,1070,1177,698,1472,1237,1805,1775,1640,1738,872,1508,902,1095])).
% 26.47/26.31 cnf(4811,plain,
% 26.47/26.31 (~E(f8(f97(a91,x48111)),a72)),
% 26.47/26.31 inference(scs_inference,[],[503,1810,136,141,154,169,170,563,298,397,452,466,484,518,534,532,548,597,540,550,264,4356,218,239,3965,242,4264,261,3940,228,318,337,475,3727,3890,4304,4308,4480,4485,4489,4564,4579,4613,4632,3889,4479,441,510,593,3904,536,587,4359,4704,506,312,488,292,482,3871,411,4661,4670,121,139,416,499,531,565,4432,250,3715,3718,4116,4123,4144,181,234,566,3741,4022,4051,4147,4454,354,3969,4401,4404,4548,306,307,3802,3893,4054,4091,4119,4133,4137,4371,4390,4448,4451,4529,4575,4672,4730,309,3848,3914,4461,4556,4665,310,4041,4044,4048,4088,4130,4471,4476,4526,4650,4654,4658,4699,4470,4651,583,3779,3874,3959,3984,4010,4104,4241,4380,4407,4443,4467,304,3868,3937,3978,3997,4007,4011,4113,4305,4309,4423,4484,4560,4563,4605,4609,4614,4631,4664,413,3726,414,4553,401,3920,4027,4124,4143,4458,4722,408,3732,3738,3858,4140,4317,4343,4582,409,3825,4462,4481,4486,4490,410,4314,4475,590,3772,3955,4000,4246,592,512,3731,3737,574,489,3934,502,293,140,299,573,396,505,135,549,581,4723,296,562,287,290,412,3832,3835,134,131,133,576,301,286,300,132,2035,2252,2904,1981,4410,2894,3151,2928,3520,2930,3130,3076,3128,2732,2319,3619,2115,2379,2328,2074,4205,2485,2509,2724,2749,3149,1834,3403,3585,3627,3415,3366,2025,2342,2107,4230,1969,3686,3689,3712,3792,3854,3865,3917,4127,4171,4274,2053,2179,2726,2769,3125,3111,3122,4536,3445,3441,3617,3979,3996,4003,4006,4504,3266,3216,3283,2094,2954,3017,2696,3853,4238,4301,3219,3280,3088,2940,4217,3490,3400,2079,3760,2085,3763,2050,2339,4422,3014,3683,3698,3706,3929,4233,4334,4455,2698,3797,3506,2455,3757,3857,1828,2088,2090,1922,1963,3671,2962,3027,2351,2104,1817,3701,3956,3990,3993,4294,1819,1960,3911,4107,1957,2257,4203,3599,2668,2097,1943,2293,2334,2396,3669,3291,3675,3583,3590,2172,2829,3153,3473,3709,2392,2437,2845,2798,2847,2267,2758,3055,3705,3483,3182,2702,2802,3190,3180,2972,2851,2248,2497,1823,3587,3524,3250,3254,3247,2511,3157,2401,2533,3242,3395,3679,1314,1313,1010,1009,1408,1120,1065,1643,1033,1186,824,701,1115,1650,1677,1681,1710,1682,990,846,711,675,666,853,804,731,1457,1433,1317,1294,1117,1072,1051,898,1385,1345,1103,981,1761,1760,1759,1753,1751,1742,1741,1740,1732,1777,1730,976,917,832,1384,1355,1341,1337,1228,1227,1208,1207,1204,1203,923,845,767,1430,1150,1078,931,743,1348,1318,1174,1159,1122,1105,1666,1614,1575,1574,1573,1571,1567,1551,1502,1482,920,1543,1524,1464,1381,1350,1349,1334,1333,1243,1242,1236,1066,1055,1047,1045,1042,985,984,963,901,1093,1032,998,1636,1584,1583,1582,1541,1178,1576,1240,1212,1211,1765,1764,1756,1745,1744,1798,861,715,1711,947,1013,1555,879,878,1654,1335,1344,1695,1693,1692,1132,1739,1808,709,1476,935,810,1328,1292,1264,1119,1754,734,929,1421,1412,1376,1364,1148,1202,1552,1500,1515,1094,1794,999,908,721,1168,888,919,1694,1684,1683,1679,1096,928,838,967,842,1259,1073,1743,1425,1320,1611,1674,795,813,812,896,827,1339,1455,1271,979,955,2,837,667,650,48,41,35,1097,1068,1038,964,943,934,852,811,1110,828,1439,1401,1324,1308,1300,1136,1071,1053,957,951,1253,1386,1006,1005,996,995,1752,1733,1731,119,1786,977,742,739,727,670,603,614,707,1422,1413,1382,1372,1370,1356,1338,1336,790,770,696,695,656,655,1149,1151,1125,958,1570,1566,1510,1509,1504,1498,937,1544,1533,1526,1525,1523,1380,1170,1169,1043,1040,1358,1134,1718,1706,1675,1639,1638,1577,1130,1129,1239,1747,1746,1797,1784,1783,699,693,692,1720,1719,991,916,1554,887,1050,1529,1406,1085,1179,1696,1691,1687,1686,1685,1623,34,753,1448,1446,1327,1280,1266,1238,1213,1171,1160,949,1131,1017,1379,1367,1217,1147,1512,1511,1507,1503,1485,1771,1516,961,1359,907,1563,883,876,1330,880,1688,1680,749,1461,1074,864,741,740,1505,1484,759,1521,1755,1676,1453,1118,1088,897,1173,1517,1133,1274,47,29,12,11,3,118,1175,1077,1152,1557,1556,1653,1649,1562,893,1531,673,1758,1459,1441,1435,1762,1734,657,933,932,1176,1608,1076,1560,881,857,1012,1651,724,702,1728,1727,1080,1107,1297,874,1506,1241,1588,1586,1548,1234,1793,986,1226,969,885,1606,1605,1549,993,1351,1070,1177,698,1472,1237,1805,1775,1640,1738,872,1508,902,1095,1214,1559,773])).
% 26.47/26.31 cnf(4844,plain,
% 26.47/26.31 (~E(f84(a72,a72),f2(a5))),
% 26.47/26.31 inference(scs_inference,[],[4667,2509,725])).
% 26.47/26.31 cnf(4847,plain,
% 26.47/26.31 (P3(f62(f63(a78,x48471),x48471))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(4851,plain,
% 26.47/26.31 (P3(f58(f57(a76,x48511),x48511))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4854,plain,
% 26.47/26.31 (P3(f56(f59(a9,x48541),x48541))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(4857,plain,
% 26.47/26.31 (P3(f56(f59(a9,x48571),x48571))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(4860,plain,
% 26.47/26.31 (~E(f68(f86(f86(x48601,a105),a100),a105),x48601)),
% 26.47/26.31 inference(rename_variables,[],[4558])).
% 26.47/26.31 cnf(4863,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(x48631)))),x48631))),
% 26.47/26.31 inference(rename_variables,[],[3014])).
% 26.47/26.31 cnf(4871,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f55(a92,x48711)))),
% 26.47/26.31 inference(rename_variables,[],[401])).
% 26.47/26.31 cnf(4872,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x48721),a105))),
% 26.47/26.31 inference(rename_variables,[],[581])).
% 26.47/26.31 cnf(4875,plain,
% 26.47/26.31 (P3(f58(f57(a11,x48751),a81))),
% 26.47/26.31 inference(rename_variables,[],[3055])).
% 26.47/26.31 cnf(4876,plain,
% 26.47/26.31 (P3(f58(f57(a76,x48761),x48761))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(4883,plain,
% 26.47/26.31 (P3(f56(f59(a77,x48831),f98(x48831,x48831)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(4884,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x48841,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x48841))),
% 26.47/26.31 inference(rename_variables,[],[4589])).
% 26.47/26.31 cnf(4885,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x48851))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4889,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f55(f87(f84(a72,a72)),f86(x48891,x48892))),f55(f87(f84(a72,a72)),x48891)))),
% 26.47/26.31 inference(scs_inference,[],[121,205,516,415,591,307,4851,309,4854,310,304,414,408,401,581,290,135,134,133,555,132,4589,3824,4663,3286,4558,2217,3831,4667,3693,4688,4811,2539,3014,2829,3055,2172,2802,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661])).
% 26.47/26.31 cnf(4890,plain,
% 26.47/26.31 (P3(f58(f57(a75,x48901),f84(x48901,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(4895,plain,
% 26.47/26.31 (P3(f58(f103(x48951,x48952),f55(a92,f14(f103(x48951,x48952)))))),
% 26.47/26.31 inference(rename_variables,[],[3720])).
% 26.47/26.31 cnf(4904,plain,
% 26.47/26.31 (~P3(f58(f57(a76,f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a72))),
% 26.47/26.31 inference(scs_inference,[],[121,205,516,1812,595,415,591,307,4851,309,4854,310,304,414,408,401,581,290,135,134,133,555,132,4569,3720,4589,3824,4068,4663,3286,4558,2217,3831,4667,4804,3693,4688,4811,2539,3014,2829,3055,2172,2802,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051])).
% 26.47/26.31 cnf(4913,plain,
% 26.47/26.31 (P3(f62(f63(a78,f85(f99(x49131,x49132),x49133)),f85(f99(x49134,x49132),f85(f99(f70(x49131,x49134),x49132),x49133))))),
% 26.47/26.31 inference(rename_variables,[],[2076])).
% 26.47/26.31 cnf(4916,plain,
% 26.47/26.31 (P3(f62(f63(a78,a104),f85(f99(x49161,x49161),f99(x49162,x49162))))),
% 26.47/26.31 inference(rename_variables,[],[489])).
% 26.47/26.31 cnf(4919,plain,
% 26.47/26.31 (P3(f58(f57(a75,x49191),f84(x49191,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(4922,plain,
% 26.47/26.31 (E(f69(x49221,x49221),a81)),
% 26.47/26.31 inference(rename_variables,[],[218])).
% 26.47/26.31 cnf(4925,plain,
% 26.47/26.31 (P3(f56(f59(a77,x49251),f98(x49251,x49251)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(4928,plain,
% 26.47/26.31 (~P3(f56(f59(a79,f86(x49281,x49282)),x49281))),
% 26.47/26.31 inference(rename_variables,[],[591])).
% 26.47/26.31 cnf(4931,plain,
% 26.47/26.31 (P3(f56(f59(a9,x49311),x49311))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(4934,plain,
% 26.47/26.31 (P3(f58(f57(a75,x49341),f84(x49341,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(4935,plain,
% 26.47/26.31 (P3(f58(f57(a75,x49351),f84(f97(f69(x49352,x49353),x49354),f84(f84(f97(f69(x49353,x49352),x49354),x49351),a72))))),
% 26.47/26.31 inference(rename_variables,[],[3804])).
% 26.47/26.31 cnf(4943,plain,
% 26.47/26.31 (P3(f56(f59(a9,f4(f8(f55(a92,x49431)))),x49431))),
% 26.47/26.31 inference(rename_variables,[],[4232])).
% 26.47/26.31 cnf(4949,plain,
% 26.47/26.31 (E(f70(x49491,a104),x49491)),
% 26.47/26.31 inference(rename_variables,[],[195])).
% 26.47/26.31 cnf(4956,plain,
% 26.47/26.31 (~P3(f56(f59(a79,f86(x49561,x49562)),x49562))),
% 26.47/26.31 inference(rename_variables,[],[590])).
% 26.47/26.31 cnf(4959,plain,
% 26.47/26.31 (P1(f55(x49591,x49592))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(4963,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(x49631)))),x49631))),
% 26.47/26.31 inference(rename_variables,[],[3014])).
% 26.47/26.31 cnf(4966,plain,
% 26.47/26.31 (~E(f86(x49661,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)),f86(x49661,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))))),
% 26.47/26.31 inference(rename_variables,[],[3754])).
% 26.47/26.31 cnf(4967,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x49671))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4970,plain,
% 26.47/26.31 (E(f86(f98(x49701,x49702),f86(f98(x49703,x49702),x49704)),f86(f98(f86(x49701,x49703),x49702),x49704))),
% 26.47/26.31 inference(rename_variables,[],[472])).
% 26.47/26.31 cnf(4971,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x49711))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4974,plain,
% 26.47/26.31 (P3(f56(f59(a77,x49741),f98(x49741,f98(x49741,x49741))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(4977,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x49771))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(4986,plain,
% 26.47/26.31 (P3(f56(f59(a9,x49861),x49861))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(4990,plain,
% 26.47/26.31 (P3(f62(f63(a80,x49901),f85(x49901,a74)))),
% 26.47/26.31 inference(rename_variables,[],[410])).
% 26.47/26.31 cnf(5002,plain,
% 26.47/26.31 (P3(f56(f59(a77,x50021),f98(x50021,f98(x50021,x50021))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(5012,plain,
% 26.47/26.31 (P3(f58(f57(a75,x50121),f84(f97(f69(x50122,x50123),x50124),f84(f84(f97(f69(x50123,x50122),x50124),x50121),a72))))),
% 26.47/26.31 inference(rename_variables,[],[3804])).
% 26.47/26.31 cnf(5021,plain,
% 26.47/26.31 (P3(f56(f59(a9,x50211),x50211))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(5024,plain,
% 26.47/26.31 (P1(f55(x50241,x50242))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5027,plain,
% 26.47/26.31 (~E(f84(f84(a72,x50271),x50271),a81)),
% 26.47/26.31 inference(rename_variables,[],[566])).
% 26.47/26.31 cnf(5030,plain,
% 26.47/26.31 (P3(f58(f57(a76,x50301),x50301))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(5037,plain,
% 26.47/26.31 (P3(f58(f57(a75,x50371),f84(x50371,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5040,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f68(f86(x50401,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),x50401))),
% 26.47/26.31 inference(rename_variables,[],[4257])).
% 26.47/26.31 cnf(5042,plain,
% 26.47/26.31 (~E(f84(f84(a81,a81),a72),a5)),
% 26.47/26.31 inference(scs_inference,[],[121,137,205,252,472,516,1812,541,594,595,465,491,195,4949,218,415,4883,4925,475,4974,397,591,4928,147,250,4959,566,307,4851,4876,309,4854,4857,4931,4986,310,304,4885,4967,4971,414,408,4890,4919,4934,410,590,512,293,401,4871,489,4916,311,502,581,4872,290,412,135,134,133,555,132,4227,3754,4569,3783,4757,4690,2076,3720,4589,4257,4684,4693,4232,3824,3804,4935,4068,4663,3286,4639,4558,2217,3831,4667,4804,3693,4688,4289,4811,2539,4431,3629,3312,3303,3364,3619,3014,4863,2088,1960,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791])).
% 26.47/26.31 cnf(5045,plain,
% 26.47/26.31 (P3(f58(f57(a75,x50451),f84(x50451,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5050,plain,
% 26.47/26.31 (P3(f56(f59(a79,x50501),f86(x50501,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(5053,plain,
% 26.47/26.31 (E(f68(x50531,a105),x50531)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5054,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x50541))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(5061,plain,
% 26.47/26.31 (E(f68(f86(x50611,x50612),x50611),x50612)),
% 26.47/26.31 inference(rename_variables,[],[260])).
% 26.47/26.31 cnf(5064,plain,
% 26.47/26.31 (~E(f68(f86(f86(x50641,a105),a100),a105),x50641)),
% 26.47/26.31 inference(rename_variables,[],[4558])).
% 26.47/26.31 cnf(5067,plain,
% 26.47/26.31 (~E(f68(f86(f86(x50671,a105),a100),a105),x50671)),
% 26.47/26.31 inference(rename_variables,[],[4558])).
% 26.47/26.31 cnf(5086,plain,
% 26.47/26.31 (P3(f58(f57(a76,x50861),x50861))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(5091,plain,
% 26.47/26.31 (P3(f62(f63(a80,x50911),f85(x50911,a74)))),
% 26.47/26.31 inference(rename_variables,[],[410])).
% 26.47/26.31 cnf(5097,plain,
% 26.47/26.31 (P3(f56(f59(a79,x50971),f86(x50971,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(5100,plain,
% 26.47/26.31 (~E(f68(f86(f86(x51001,a105),a100),a105),x51001)),
% 26.47/26.31 inference(rename_variables,[],[4558])).
% 26.47/26.31 cnf(5103,plain,
% 26.47/26.31 (~E(f68(f86(f86(x51031,a105),a100),a105),x51031)),
% 26.47/26.31 inference(rename_variables,[],[4558])).
% 26.47/26.31 cnf(5105,plain,
% 26.47/26.31 (P3(f58(f57(a75,x51051),f84(x51051,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5120,plain,
% 26.47/26.31 (E(f68(x51201,a105),x51201)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5124,plain,
% 26.47/26.31 (~P3(f58(f57(a11,f55(a92,f86(a100,a73))),f55(a92,f4(f8(f69(f55(a92,a100),f55(a92,f86(a100,a73))))))))),
% 26.47/26.31 inference(scs_inference,[],[121,137,194,5053,205,252,472,516,1812,541,594,595,465,491,195,4949,218,260,415,4883,4925,475,4974,397,591,4928,147,250,4959,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,304,4885,4967,4971,4977,414,408,4890,4919,4934,5037,5045,409,5050,410,4990,590,512,293,401,4871,489,4916,311,502,581,4872,296,290,412,135,134,133,555,132,2942,4219,4227,3754,4510,4569,3082,3783,4488,4757,4690,2076,3720,4589,4257,4684,4693,4232,3824,3897,3804,4935,4068,4663,3286,4639,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4688,4289,4811,4121,2539,4431,3629,3312,3303,2700,3364,3619,3014,4863,2088,1960,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401])).
% 26.47/26.31 cnf(5128,plain,
% 26.47/26.31 (P3(f58(f57(a75,f84(f97(f69(x51281,x51282),x51283),f84(f97(f69(x51282,x51281),x51283),f69(x51284,a72)))),x51284))),
% 26.47/26.31 inference(scs_inference,[],[121,137,194,5053,205,252,472,516,1812,541,594,595,465,491,195,4949,218,260,415,4883,4925,475,4974,397,591,4928,147,250,4959,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,304,4885,4967,4971,4977,414,408,4890,4919,4934,5037,5045,409,5050,410,4990,590,512,293,401,4871,489,4916,311,502,581,4872,296,290,412,135,134,133,555,132,2942,4219,4227,3754,4510,4569,3082,3783,4488,4757,4690,2076,3720,4269,4589,4257,4684,4693,4232,3824,3897,3804,4935,4068,4663,3286,4639,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4688,4289,4811,4121,2539,4431,3629,3312,3303,2700,3364,3619,3014,4863,2088,1960,3583,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117])).
% 26.47/26.31 cnf(5129,plain,
% 26.47/26.31 (P3(f58(f57(a76,f84(f97(f69(x51291,x51292),x51293),f84(f97(f69(x51292,x51291),x51293),x51294))),x51294))),
% 26.47/26.31 inference(rename_variables,[],[4269])).
% 26.47/26.31 cnf(5131,plain,
% 26.47/26.31 (P3(f58(f57(a11,x51311),x51311))),
% 26.47/26.31 inference(scs_inference,[],[121,137,194,5053,205,252,472,516,1812,541,594,595,465,491,195,4949,218,260,415,4883,4925,475,4974,397,591,4928,147,250,4959,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,304,4885,4967,4971,4977,414,408,4890,4919,4934,5037,5045,409,5050,410,4990,590,512,306,293,401,4871,489,4916,311,502,581,4872,296,290,412,135,134,133,555,132,2942,4219,4227,3754,4510,4569,3082,3783,4488,4757,4690,2076,3720,4269,4589,4257,4684,4693,4232,3824,3897,3804,4935,4068,4663,3286,4639,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4688,4289,4811,4121,2539,4431,3629,3312,3303,2700,3364,3619,3014,4863,2088,1960,3583,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951])).
% 26.47/26.31 cnf(5135,plain,
% 26.47/26.31 (P3(f56(f59(a79,x51351),f68(f86(x51351,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100)),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.31 inference(scs_inference,[],[121,137,194,5053,205,252,472,516,1812,541,594,595,465,491,195,4949,218,260,415,4883,4925,475,4974,397,591,4928,147,250,4959,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,304,4885,4967,4971,4977,414,408,4890,4919,4934,5037,5045,409,5050,410,4990,590,512,306,293,401,4871,489,4916,550,311,502,581,4872,296,290,412,135,134,133,555,132,2942,4219,4227,3754,4510,4569,3082,3783,4488,4757,4690,2076,3720,4269,4589,4257,3711,4684,4693,4232,3824,3897,3804,4935,4068,4663,3286,4639,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4688,4289,4811,4121,2539,4431,3629,3312,3303,2700,3364,3619,3014,4863,2088,1960,3583,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385])).
% 26.47/26.31 cnf(5142,plain,
% 26.47/26.31 (~E(f85(f99(x51421,x51422),f99(f70(x51423,f70(x51421,x51424)),x51422)),f85(f99(x51424,x51422),f85(f99(x51423,x51422),a74)))),
% 26.47/26.31 inference(scs_inference,[],[121,137,194,5053,205,252,316,472,516,1812,541,594,595,465,491,195,4949,218,260,415,4883,4925,475,4974,397,591,4928,147,250,4959,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,304,4885,4967,4971,4977,414,408,4890,4919,4934,5037,5045,409,5050,410,4990,590,4956,512,306,293,401,4871,489,4916,550,311,502,581,4872,296,290,412,135,134,133,555,132,2942,4219,4227,3754,4510,4569,3082,3783,4488,4757,4261,4690,2076,3720,4269,4589,4257,3711,4684,4693,4232,3824,3897,3804,4935,4068,4663,3286,4639,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4688,4289,4811,4121,2539,4431,3629,3312,3303,2700,3364,3619,3014,4863,2088,1960,3583,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995])).
% 26.47/26.31 cnf(5148,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f84(f97(f69(x51481,x51481),x51482),x51483)),x51483))),
% 26.47/26.31 inference(rename_variables,[],[3791])).
% 26.47/26.31 cnf(5154,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f97(x51541,x51541)))),
% 26.47/26.31 inference(rename_variables,[],[411])).
% 26.47/26.31 cnf(5157,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f97(x51571,x51571)))),
% 26.47/26.31 inference(rename_variables,[],[411])).
% 26.47/26.31 cnf(5164,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f84(f97(f69(x51641,x51641),x51642),x51643)),x51643))),
% 26.47/26.31 inference(rename_variables,[],[3791])).
% 26.47/26.31 cnf(5168,plain,
% 26.47/26.31 (P3(f58(f57(a75,x51681),f84(f8(f69(f97(x51681,a72),a81)),a72)))),
% 26.47/26.31 inference(scs_inference,[],[121,137,194,5053,205,252,316,472,516,1812,541,594,595,465,491,195,4949,218,260,415,4883,4925,475,4974,397,488,411,5154,591,4928,147,250,4959,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,304,4885,4967,4971,4977,414,408,4890,4919,4934,5037,5045,409,5050,410,4990,590,4956,512,306,293,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,133,555,132,2942,4219,4227,3754,4510,4569,3082,3783,4005,4488,4757,4261,4690,2076,3720,3791,5148,4269,4589,4257,3711,4684,4693,4232,3824,4033,3897,3799,3804,4935,4068,3837,4663,3286,4639,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4688,4289,4811,4121,2539,4431,3629,3312,3303,2700,3364,3619,3014,4863,2088,1960,3583,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551])).
% 26.47/26.31 cnf(5172,plain,
% 26.47/26.31 (P3(f58(f57(a75,x51721),f84(x51721,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5174,plain,
% 26.47/26.31 (~P3(f62(f63(a78,f85(f70(a104,f99(a74,f3(a5))),f85(f99(f70(x51741,x51742),x51743),f85(f99(f70(x51742,x51741),x51743),x51744)))),x51744))),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,205,252,316,472,516,1812,541,594,595,465,491,195,4949,218,260,415,4883,4925,475,4974,397,488,411,5154,591,4928,147,250,4959,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,4847,304,4885,4967,4971,4977,414,408,4890,4919,4934,5037,5045,5105,409,5050,410,4990,590,4956,512,306,293,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,133,555,132,2942,4219,4227,3754,4510,4569,3082,3783,4005,4488,4757,4261,4690,2076,3720,3791,5148,4269,4589,4257,3711,4684,4693,4232,3824,4033,3897,3799,3804,4935,4068,3837,4663,3286,4639,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4688,4289,4811,4121,2539,4431,3629,3312,3303,2700,3364,3619,3014,4863,2088,1960,3583,2829,3055,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526])).
% 26.47/26.31 cnf(5175,plain,
% 26.47/26.31 (~P3(f62(f63(a78,f85(f99(f70(x51751,x51752),x51753),f85(f70(a104,f99(a74,f3(a5))),f85(f99(f70(x51752,x51751),x51753),x51754)))),x51754))),
% 26.47/26.31 inference(rename_variables,[],[4684])).
% 26.47/26.31 cnf(5176,plain,
% 26.47/26.31 (P3(f62(f63(a78,x51761),x51761))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5181,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x51811,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x51811))),
% 26.47/26.31 inference(rename_variables,[],[4589])).
% 26.47/26.31 cnf(5182,plain,
% 26.47/26.31 (P3(f56(f59(a77,x51821),f98(x51821,x51821)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5187,plain,
% 26.47/26.31 (E(f69(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),x51871),f69(a81,x51871))),
% 26.47/26.31 inference(rename_variables,[],[2669])).
% 26.47/26.31 cnf(5192,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(x51921)))),x51921))),
% 26.47/26.31 inference(rename_variables,[],[3014])).
% 26.47/26.31 cnf(5193,plain,
% 26.47/26.31 (P3(f58(f57(a11,x51931),a81))),
% 26.47/26.31 inference(rename_variables,[],[3055])).
% 26.47/26.31 cnf(5196,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x51961,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x51961))),
% 26.47/26.31 inference(rename_variables,[],[4589])).
% 26.47/26.31 cnf(5197,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x51971))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(5204,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x52041,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x52041))),
% 26.47/26.31 inference(rename_variables,[],[4589])).
% 26.47/26.31 cnf(5207,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x52071,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x52071))),
% 26.47/26.31 inference(rename_variables,[],[4589])).
% 26.47/26.31 cnf(5210,plain,
% 26.47/26.31 (E(f69(x52101,x52101),a81)),
% 26.47/26.31 inference(rename_variables,[],[218])).
% 26.47/26.31 cnf(5213,plain,
% 26.47/26.31 (E(f69(x52131,x52131),a81)),
% 26.47/26.31 inference(rename_variables,[],[218])).
% 26.47/26.31 cnf(5216,plain,
% 26.47/26.31 (P3(f58(f57(a75,x52161),f84(x52161,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5219,plain,
% 26.47/26.31 (P1(f55(x52191,x52192))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5220,plain,
% 26.47/26.31 (~P3(f56(f59(a79,f86(x52201,x52202)),x52201))),
% 26.47/26.31 inference(rename_variables,[],[591])).
% 26.47/26.31 cnf(5228,plain,
% 26.47/26.31 (P3(f56(f59(a77,x52281),f98(x52281,x52281)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5229,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x52291,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x52291))),
% 26.47/26.31 inference(rename_variables,[],[4589])).
% 26.47/26.31 cnf(5232,plain,
% 26.47/26.31 (E(f69(x52321,x52321),a81)),
% 26.47/26.31 inference(rename_variables,[],[218])).
% 26.47/26.31 cnf(5235,plain,
% 26.47/26.31 (P3(f62(f63(a80,x52351),f85(x52351,a74)))),
% 26.47/26.31 inference(rename_variables,[],[410])).
% 26.47/26.31 cnf(5236,plain,
% 26.47/26.31 (P3(f62(f63(a78,x52361),x52361))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5241,plain,
% 26.47/26.31 (~E(f86(x52411,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),x52411)),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,205,252,316,472,4970,516,1812,541,594,595,465,491,195,4949,218,4922,5210,5213,260,415,4883,4925,5182,475,4974,407,397,488,411,5154,591,4928,147,250,4959,5024,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,4847,5176,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,409,5050,410,4990,5091,590,4956,512,306,293,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,2942,4219,4227,3754,4510,4569,3876,3082,3783,4005,4488,4757,4261,4690,2076,3720,3791,5148,4269,4589,4884,5181,5196,5204,5207,4257,3711,4684,4693,4232,3824,4033,3897,3066,3799,3804,4935,4068,3837,4663,3286,4639,2669,4457,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4283,4688,2503,4289,4811,4121,2539,4431,3629,2950,3312,3303,2882,2700,2837,3364,3619,3014,4863,4963,2088,1960,3583,2829,3055,4875,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675])).
% 26.47/26.31 cnf(5244,plain,
% 26.47/26.31 (P3(f58(f57(a75,f69(x52441,a72)),x52441))),
% 26.47/26.31 inference(rename_variables,[],[1985])).
% 26.47/26.31 cnf(5254,plain,
% 26.47/26.31 (~P3(f58(f57(a75,x52541),f84(f97(f69(x52542,x52542),x52543),x52541)))),
% 26.47/26.31 inference(rename_variables,[],[4273])).
% 26.47/26.31 cnf(5259,plain,
% 26.47/26.31 (~P3(f58(f57(a75,x52591),f84(f97(f69(x52592,x52592),x52593),x52591)))),
% 26.47/26.31 inference(rename_variables,[],[4273])).
% 26.47/26.31 cnf(5261,plain,
% 26.47/26.31 (~P3(f62(f63(a80,f85(f99(x52611,x52612),f10(f85(f85(f99(f70(x52613,x52611),x52612),x52614),f85(a74,a74))))),f85(f99(x52613,x52612),x52614)))),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,205,252,316,472,4970,516,1812,541,594,595,465,491,195,4949,218,4922,5210,5213,260,415,4883,4925,5182,5228,475,4974,407,397,488,411,5154,591,4928,147,250,4959,5024,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,4847,5176,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,409,5050,410,4990,5091,590,4956,512,306,293,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,2942,4219,4227,3754,4510,4569,3876,3082,3783,4005,4488,4757,4261,4690,2076,3720,3791,5148,4184,4269,4273,5254,4589,4884,5181,5196,5204,5207,4257,3711,2232,4684,5175,4693,4232,3824,4033,3897,1985,3066,3799,3804,4935,4068,3837,4663,3286,4639,2669,4457,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,4283,4688,2503,4289,4811,4121,2539,4431,3629,2950,3312,3303,2882,2700,2837,3364,3619,3014,4863,4963,2088,1960,3583,2829,3055,4875,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742])).
% 26.47/26.31 cnf(5265,plain,
% 26.47/26.31 (~P3(f58(f57(a76,f84(f97(x52651,x52652),a1)),f84(f97(x52653,x52652),f84(f97(f69(x52651,x52653),x52652),a5))))),
% 26.47/26.31 inference(rename_variables,[],[2090])).
% 26.47/26.31 cnf(5270,plain,
% 26.47/26.31 (~E(f8(a72),a81)),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,205,252,316,472,4970,516,1812,541,594,595,465,491,195,4949,218,4922,5210,5213,260,415,4883,4925,5182,5228,475,4974,407,397,488,411,5154,591,4928,147,250,4959,5024,566,307,4851,4876,5030,309,4854,4857,4931,4986,310,4847,5176,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,409,5050,410,4990,5091,590,4956,512,306,293,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,2942,4219,4227,3754,4510,4569,3876,3082,3783,4005,4488,4757,4261,4690,2076,3720,3791,5148,4184,4269,4273,5254,4589,4884,5181,5196,5204,5207,4257,3711,2232,4684,5175,4693,4232,3824,4033,3897,1985,5244,3066,3799,3804,4935,4068,3837,4663,3286,4639,2669,4457,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4804,2921,3693,2563,4283,4688,2503,4289,4811,4121,2539,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,3619,3014,4863,4963,2088,2090,1960,3583,2829,3055,4875,2172,2802,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786])).
% 26.47/26.31 cnf(5276,plain,
% 26.47/26.31 (P1(f55(x52761,x52762))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5281,plain,
% 26.47/26.31 (P3(f58(f103(x52811,x52812),f55(a92,f14(f103(x52811,x52812)))))),
% 26.47/26.31 inference(rename_variables,[],[3720])).
% 26.47/26.31 cnf(5282,plain,
% 26.47/26.31 (P3(f58(f103(x52821,x52821),x52822))),
% 26.47/26.31 inference(rename_variables,[],[354])).
% 26.47/26.31 cnf(5285,plain,
% 26.47/26.31 (P3(f56(f59(a79,x52851),f86(x52851,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(5288,plain,
% 26.47/26.31 (P3(f58(f103(x52881,x52881),x52882))),
% 26.47/26.31 inference(rename_variables,[],[354])).
% 26.47/26.31 cnf(5294,plain,
% 26.47/26.31 (E(f68(x52941,a105),x52941)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5295,plain,
% 26.47/26.31 (P3(f56(f59(a77,x52951),f98(x52951,x52951)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5298,plain,
% 26.47/26.31 (~P3(f56(f59(a79,f86(x52981,x52982)),x52981))),
% 26.47/26.31 inference(rename_variables,[],[591])).
% 26.47/26.31 cnf(5301,plain,
% 26.47/26.31 (P3(f56(f59(a79,x53011),f86(x53011,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(5304,plain,
% 26.47/26.31 (P1(f55(x53041,x53042))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5307,plain,
% 26.47/26.31 (P1(f55(x53071,x53072))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5313,plain,
% 26.47/26.31 (P3(f62(f63(a78,x53131),x53131))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5316,plain,
% 26.47/26.31 (P3(f58(f57(a76,x53161),x53161))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(5341,plain,
% 26.47/26.31 (E(x53411,f86(x53411,a105))),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,5120,205,252,257,316,469,472,4970,516,1812,541,594,595,465,491,195,4949,218,4922,5210,5213,260,5061,415,4883,4925,5182,5228,5295,475,4974,5002,407,397,488,411,5154,5157,591,4928,5220,147,250,4959,5024,5219,5276,5304,566,354,5282,307,4851,4876,5030,5086,309,4854,4857,4931,4986,310,4847,5176,5236,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,409,5050,5097,5285,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,2942,4219,4227,3754,4510,4569,3876,3082,3783,4005,4488,4757,3834,4261,4690,2076,4913,3720,4895,3791,5148,4184,4269,4273,5254,4589,4884,5181,5196,5204,5207,4257,3711,2232,4684,5175,4693,4232,3824,4033,3897,1985,5244,3066,3799,3804,4935,4068,3837,4663,3286,4639,2669,4457,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,3619,3014,4863,4963,2088,2090,1960,3583,2829,3055,4875,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759])).
% 26.47/26.31 cnf(5346,plain,
% 26.47/26.31 (P3(f58(f103(f97(x53461,x53462),f97(x53463,x53462)),x53462))),
% 26.47/26.31 inference(rename_variables,[],[482])).
% 26.47/26.31 cnf(5350,plain,
% 26.47/26.31 (~E(a81,f55(a92,f4(f97(a72,a72))))),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,5120,205,252,257,316,469,472,4970,516,1812,541,594,595,465,491,195,4949,218,4922,5210,5213,260,5061,415,4883,4925,5182,5228,5295,475,4974,5002,407,397,488,482,411,5154,5157,591,4928,5220,147,250,4959,5024,5219,5276,5304,566,354,5282,307,4851,4876,5030,5086,5316,309,4854,4857,4931,4986,310,4847,5176,5236,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,409,5050,5097,5285,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,2942,4219,4227,3754,4510,4569,3876,3082,3783,4005,4488,4757,3834,4261,4690,2076,4913,3720,4895,3791,5148,4184,4269,4273,5254,4589,4884,5181,5196,5204,5207,4257,3711,2232,4684,5175,4693,4232,3824,4033,3897,1985,5244,3066,3799,3804,4935,4068,3837,4663,3286,4639,2669,4457,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,3619,3014,4863,4963,2088,2090,1960,3583,2829,3055,4875,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887])).
% 26.47/26.31 cnf(5351,plain,
% 26.47/26.31 (P3(f58(f57(a76,x53511),x53511))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(5359,plain,
% 26.47/26.31 (P3(f56(f59(a77,x53591),f98(x53591,f98(x53591,x53591))))),
% 26.47/26.31 inference(rename_variables,[],[475])).
% 26.47/26.31 cnf(5360,plain,
% 26.47/26.31 (P3(f56(f59(a77,x53601),f98(x53601,x53601)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5361,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x53611),f98(f68(x53612,x53612),x53613)))),
% 26.47/26.31 inference(rename_variables,[],[4188])).
% 26.47/26.31 cnf(5372,plain,
% 26.47/26.31 (~P3(f58(f57(a76,f84(x53721,a72)),f84(x53721,f84(f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))))),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,5120,205,252,257,316,469,472,4970,516,1812,541,594,595,465,491,195,4949,218,4922,5210,5213,260,5061,415,4883,4925,5182,5228,5295,475,4974,5002,407,397,488,482,411,5154,5157,591,4928,5220,5298,147,250,4959,5024,5219,5276,5304,566,354,5282,5288,307,4851,4876,5030,5086,5316,309,4854,4857,4931,4986,310,4847,5176,5236,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,409,5050,5097,5285,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,4216,2942,4219,4227,3754,4510,4569,3876,3082,3783,3806,4005,4488,4757,3834,4261,4690,2076,4913,3720,4895,3791,5148,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,4257,3711,2232,4684,5175,4693,4232,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,4068,3837,4663,3286,4639,2669,4457,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,3619,3014,4863,4963,2088,2090,1960,3583,2829,3055,4875,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439])).
% 26.47/26.31 cnf(5374,plain,
% 26.47/26.31 (P3(f56(f59(a9,f4(f8(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72))))),f4(f2(f84(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)),a72)))))),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,5120,205,252,257,316,469,472,4970,516,1812,541,594,595,465,491,195,4949,218,4922,5210,5213,260,5061,415,4883,4925,5182,5228,5295,475,4974,5002,407,397,488,482,411,5154,5157,591,4928,5220,5298,147,250,4959,5024,5219,5276,5304,566,354,5282,5288,307,4851,4876,5030,5086,5316,309,4854,4857,4931,4986,310,4847,5176,5236,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,409,5050,5097,5285,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,4216,2942,4219,4227,3754,4510,4569,3876,3082,3783,3806,4005,4488,4757,3834,4261,4690,2076,4913,3720,4895,3791,5148,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,4257,3711,2232,4684,5175,4693,4232,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,4068,3837,4663,3286,3913,4639,2669,4457,4237,4558,4860,5064,5067,5100,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,3619,3014,4863,4963,2088,2090,1960,3583,2829,3055,4875,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214])).
% 26.47/26.31 cnf(5384,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(x53841,f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),x53841))),
% 26.47/26.31 inference(rename_variables,[],[4589])).
% 26.47/26.31 cnf(5394,plain,
% 26.47/26.31 (P3(f58(f57(a76,x53941),x53941))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(5401,plain,
% 26.47/26.31 (P3(f56(f59(a79,x54011),f86(x54011,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(5417,plain,
% 26.47/26.31 (P3(f58(f57(a75,x54171),f84(x54171,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5421,plain,
% 26.47/26.31 (P3(f58(f57(a75,x54211),f84(x54211,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5424,plain,
% 26.47/26.31 (P3(f58(f57(a75,x54241),f84(x54241,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5427,plain,
% 26.47/26.31 (P3(f58(f57(a76,x54271),f84(f97(f69(x54272,x54272),x54273),x54271)))),
% 26.47/26.31 inference(rename_variables,[],[3801])).
% 26.47/26.31 cnf(5430,plain,
% 26.47/26.31 (P3(f56(f59(a77,x54301),f98(x54301,x54301)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5433,plain,
% 26.47/26.31 (E(f68(x54331,a105),x54331)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5441,plain,
% 26.47/26.31 (~P3(f56(f59(a79,x54411),x54411))),
% 26.47/26.31 inference(rename_variables,[],[583])).
% 26.47/26.31 cnf(5447,plain,
% 26.47/26.31 (~P3(f56(f59(a79,f86(x54471,x54472)),x54471))),
% 26.47/26.31 inference(rename_variables,[],[591])).
% 26.47/26.31 cnf(5452,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(f69(x54521,a81))))),x54521))),
% 26.47/26.31 inference(scs_inference,[],[121,137,517,194,5053,5120,5294,205,252,257,316,427,469,472,4970,516,1812,541,594,595,465,491,535,195,4949,218,4922,5210,5213,260,5061,415,4883,4925,5182,5228,5295,5360,475,4974,5002,5359,407,397,488,482,411,5154,5157,591,4928,5220,5298,147,250,4959,5024,5219,5276,5304,566,354,5282,5288,307,4851,4876,5030,5086,5316,5351,309,4854,4857,4931,4986,310,4847,5176,5236,583,304,4885,4967,4971,4977,5054,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,409,5050,5097,5285,5301,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,290,571,412,135,134,286,133,555,132,4216,2942,4146,4190,4214,4219,4227,3754,4510,4569,3876,3082,3783,3806,4005,4488,4757,3834,4261,4690,2076,4913,2101,3720,4895,3791,5148,3801,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,4257,3711,2232,4684,5175,4693,4232,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4068,4021,3837,4663,3286,3913,2072,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,2088,2090,5265,1960,3583,2829,3055,4875,5193,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358])).
% 26.47/26.31 cnf(5453,plain,
% 26.47/26.31 (P3(f58(f57(a11,f55(a92,f4(f8(x54531)))),x54531))),
% 26.47/26.31 inference(rename_variables,[],[3014])).
% 26.47/26.31 cnf(5457,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f84(f97(f69(x54571,x54571),x54572),x54573)),x54573))),
% 26.47/26.31 inference(rename_variables,[],[3791])).
% 26.47/26.31 cnf(5461,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x54611))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(5470,plain,
% 26.47/26.31 (E(f68(x54701,a105),x54701)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5471,plain,
% 26.47/26.31 (P3(f56(f59(a79,x54711),f86(x54711,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(5491,plain,
% 26.47/26.31 (P3(f56(f59(a9,f4(f8(f55(a92,x54911)))),x54911))),
% 26.47/26.31 inference(rename_variables,[],[4232])).
% 26.47/26.31 cnf(5499,plain,
% 26.47/26.31 (P1(f55(x54991,x54992))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5504,plain,
% 26.47/26.31 (P3(f62(f63(a78,x55041),x55041))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5507,plain,
% 26.47/26.31 (~E(f55(a92,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),a81)),
% 26.47/26.31 inference(scs_inference,[],[121,137,128,517,194,5053,5120,5294,5433,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,465,491,535,195,4949,218,4922,5210,5213,5232,260,5061,415,4883,4925,5182,5228,5295,5360,475,4974,5002,5359,407,397,488,482,411,5154,5157,591,4928,5220,5298,5447,147,250,4959,5024,5219,5276,5304,5307,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,309,4854,4857,4931,4986,310,4847,5176,5236,5313,583,304,4885,4967,4971,4977,5054,5197,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,409,5050,5097,5285,5301,5401,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,1810,290,571,412,135,134,286,133,555,132,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,3834,4261,4690,2076,4913,2101,3720,4895,3791,5148,5164,3801,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,4009,4257,3711,2232,4684,5175,4693,4232,4943,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,3837,4663,3286,3913,2072,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650])).
% 26.47/26.31 cnf(5514,plain,
% 26.47/26.31 (P3(f56(f59(a9,f4(f8(f55(a92,x55141)))),x55141))),
% 26.47/26.31 inference(rename_variables,[],[4232])).
% 26.47/26.31 cnf(5521,plain,
% 26.47/26.31 (P3(f58(f57(a76,x55211),x55211))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(5528,plain,
% 26.47/26.31 (P3(f58(f57(a76,x55281),x55281))),
% 26.47/26.31 inference(rename_variables,[],[307])).
% 26.47/26.31 cnf(5530,plain,
% 26.47/26.31 (~E(f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),x55301),a105)),
% 26.47/26.31 inference(scs_inference,[],[121,137,128,517,194,5053,5120,5294,5433,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,465,491,535,195,4949,218,4922,5210,5213,5232,260,5061,415,4883,4925,5182,5228,5295,5360,475,4974,5002,5359,407,397,488,482,411,5154,5157,591,4928,5220,5298,5447,147,250,4959,5024,5219,5276,5304,5307,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,5394,5521,309,4854,4857,4931,4986,310,4847,5176,5236,5313,583,304,4885,4967,4971,4977,5054,5197,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,409,5050,5097,5285,5301,5401,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,1810,290,571,412,135,134,286,133,555,132,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,2229,3834,4261,4690,2076,4913,2101,3720,4895,3791,5148,5164,3801,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,4009,4257,3711,2232,4684,5175,4693,4232,4943,5491,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,3837,4663,3286,3913,2072,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650,1446,1308,1238,1053,1131,1217,1484,1797,1554,667])).
% 26.47/26.31 cnf(5534,plain,
% 26.47/26.31 (P3(f56(f59(a9,f68(f68(f86(x55341,x55342),a105),x55341)),x55342))),
% 26.47/26.31 inference(scs_inference,[],[121,137,128,517,194,5053,5120,5294,5433,5470,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,465,491,535,195,4949,218,4922,5210,5213,5232,260,5061,415,4883,4925,5182,5228,5295,5360,475,4974,5002,5359,407,397,488,482,411,5154,5157,591,4928,5220,5298,5447,147,250,4959,5024,5219,5276,5304,5307,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,5394,5521,309,4854,4857,4931,4986,5021,310,4847,5176,5236,5313,583,304,4885,4967,4971,4977,5054,5197,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,409,5050,5097,5285,5301,5401,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,1810,290,571,412,135,134,286,133,555,132,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,2229,3834,4261,4690,2076,4913,2101,3720,4895,3791,5148,5164,3801,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,4009,4257,3711,2232,4684,5175,4693,4232,4943,5491,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,3837,4663,3286,3913,2072,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650,1446,1308,1238,1053,1131,1217,1484,1797,1554,667,1266,937])).
% 26.47/26.31 cnf(5535,plain,
% 26.47/26.31 (E(f68(x55351,a105),x55351)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5536,plain,
% 26.47/26.31 (P3(f56(f59(a9,x55361),x55361))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(5539,plain,
% 26.47/26.31 (~P3(f56(f59(a79,f86(x55391,x55392)),x55391))),
% 26.47/26.31 inference(rename_variables,[],[591])).
% 26.47/26.31 cnf(5550,plain,
% 26.47/26.31 (~P3(f56(f59(a9,f86(f86(a73,a73),f86(f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))),a100))),f86(a73,a73)))),
% 26.47/26.31 inference(scs_inference,[],[121,137,128,517,194,5053,5120,5294,5433,5470,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,465,491,535,195,4949,218,4922,5210,5213,5232,260,5061,415,4883,4925,5182,5228,5295,5360,5430,475,4974,5002,5359,407,397,488,482,411,5154,5157,591,4928,5220,5298,5447,147,250,4959,5024,5219,5276,5304,5307,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,5394,5521,309,4854,4857,4931,4986,5021,310,4847,5176,5236,5313,583,304,4885,4967,4971,4977,5054,5197,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,409,5050,5097,5285,5301,5401,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,502,581,4872,296,1810,290,571,412,135,134,286,133,555,132,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,2229,3834,4261,4690,2076,4913,2101,3720,4895,3791,5148,5164,3801,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,5384,4009,4257,3711,2232,4684,5175,4693,4232,4943,5491,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,3837,4663,3286,3913,2072,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,4508,2217,3831,4667,4729,4427,4804,2921,3693,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4431,3629,2950,3312,3303,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650,1446,1308,1238,1053,1131,1217,1484,1797,1554,667,1266,937,1755,34,749,1511,1517,1071,1170])).
% 26.47/26.31 cnf(5557,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x55571))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(5558,plain,
% 26.47/26.31 (P3(f56(f59(a77,x55581),x55581))),
% 26.47/26.31 inference(rename_variables,[],[308])).
% 26.47/26.31 cnf(5566,plain,
% 26.47/26.31 (E(f68(x55661,a105),x55661)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5581,plain,
% 26.47/26.31 (P3(f58(f57(a75,x55811),f84(x55811,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5599,plain,
% 26.47/26.31 (P3(f62(f63(a78,x55991),x55991))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5602,plain,
% 26.47/26.31 (P3(f62(f63(a78,x56021),x56021))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5606,plain,
% 26.47/26.31 (~P3(f56(f59(a9,f86(a100,a73)),f4(f8(f55(a92,f4(f8(f69(f55(a92,a100),f55(a92,f86(a100,a73))))))))))),
% 26.47/26.31 inference(scs_inference,[],[121,1809,137,128,517,194,5053,5120,5294,5433,5470,5535,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,225,465,491,535,195,4949,218,4922,5210,5213,5232,260,5061,415,4883,4925,5182,5228,5295,5360,5430,475,4974,5002,5359,407,397,488,482,411,5154,5157,591,4928,5220,5298,5447,147,250,4959,5024,5219,5276,5304,5307,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,5394,5521,5528,309,4854,4857,4931,4986,5021,310,4847,5176,5236,5313,5504,5599,583,304,4885,4967,4971,4977,5054,5197,5461,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,5424,5581,409,5050,5097,5285,5301,5401,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,396,502,581,4872,308,296,1810,290,571,412,135,134,286,133,555,132,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,2229,3834,4261,4690,2076,4913,2101,3720,4895,5281,3791,5148,5164,5457,3801,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,5384,4009,4257,3711,2232,4684,5175,4693,4232,4943,5491,5514,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,4496,3837,4663,3286,3913,2072,2288,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,1974,4508,2217,3831,4667,4729,4427,4804,2921,3693,4154,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4291,4431,3629,2950,3312,3303,2771,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,1823,2172,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650,1446,1308,1238,1053,1131,1217,1484,1797,1554,667,1266,937,1755,34,749,1511,1517,1071,1170,961,1133,1274,41,35,29,119,3,47,12,3127,1316,1772,712,1321,894,1726,1635,1186,714,1557,1556,1346,1175])).
% 26.47/26.31 cnf(5627,plain,
% 26.47/26.31 (P3(f56(f59(a9,x56271),x56271))),
% 26.47/26.31 inference(rename_variables,[],[309])).
% 26.47/26.31 cnf(5628,plain,
% 26.47/26.31 (P3(f56(f59(a77,a105),x56281))),
% 26.47/26.31 inference(rename_variables,[],[304])).
% 26.47/26.31 cnf(5633,plain,
% 26.47/26.31 (~P3(f58(f57(a76,a72),f55(f87(f55(f87(f84(a72,f55(a92,a71))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.31 inference(scs_inference,[],[121,1809,137,128,517,194,5053,5120,5294,5433,5470,5535,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,225,465,491,535,195,4949,218,4922,5210,5213,5232,260,5061,223,415,4883,4925,5182,5228,5295,5360,5430,475,4974,5002,5359,407,397,488,482,5346,411,5154,5157,591,4928,5220,5298,5447,147,250,4959,5024,5219,5276,5304,5307,5499,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,5394,5521,5528,309,4854,4857,4931,4986,5021,5536,310,4847,5176,5236,5313,5504,5599,5602,583,304,4885,4967,4971,4977,5054,5197,5461,5557,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,5424,5581,409,5050,5097,5285,5301,5401,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,396,502,581,4872,308,296,1810,290,571,412,135,134,301,286,133,555,132,3967,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,2229,3834,4261,4690,2076,4913,2101,3720,4895,5281,3791,5148,5164,5457,3801,4184,4269,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,5384,4009,3458,4257,5040,3711,2232,4684,5175,4693,4232,4943,5491,5514,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,4496,3837,4663,3286,3913,2072,2288,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,1974,4508,2217,3831,4667,4729,4427,4804,2921,3693,4154,2563,4283,4285,4688,2503,4289,4811,4121,2539,4176,4291,4431,3629,2950,3312,3303,2771,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,1823,2172,2521,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650,1446,1308,1238,1053,1131,1217,1484,1797,1554,667,1266,937,1755,34,749,1511,1517,1071,1170,961,1133,1274,41,35,29,119,3,47,12,3127,1316,1772,712,1321,894,1726,1635,1186,714,1557,1556,1346,1175,1152,1643,990,1069,32,1653,1562,1344,1470])).
% 26.47/26.31 cnf(5642,plain,
% 26.47/26.31 (E(f68(x56421,a105),x56421)),
% 26.47/26.31 inference(rename_variables,[],[194])).
% 26.47/26.31 cnf(5649,plain,
% 26.47/26.31 (~P3(f58(f57(a75,f84(f97(f69(x56491,x56491),x56492),f84(f97(f69(x56493,x56493),x56494),x56495))),x56495))),
% 26.47/26.31 inference(scs_inference,[],[121,1809,137,128,517,194,5053,5120,5294,5433,5470,5535,5566,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,225,465,491,535,195,4949,218,4922,5210,5213,5232,260,5061,223,415,4883,4925,5182,5228,5295,5360,5430,475,4974,5002,5359,407,397,488,482,5346,411,5154,5157,591,4928,5220,5298,5447,5539,147,250,4959,5024,5219,5276,5304,5307,5499,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,5394,5521,5528,309,4854,4857,4931,4986,5021,5536,5627,310,4847,5176,5236,5313,5504,5599,5602,583,304,4885,4967,4971,4977,5054,5197,5461,5557,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,5424,5581,409,5050,5097,5285,5301,5401,410,4990,5091,5235,590,4956,512,306,293,140,401,4871,489,4916,550,311,396,502,581,4872,308,296,1810,290,571,412,135,134,301,286,133,555,132,3967,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,2229,3834,4261,4690,2076,4913,2101,3720,4895,5281,3791,5148,5164,5457,3801,4184,4269,5129,4273,5254,5259,4188,4589,4884,5181,5196,5204,5207,5229,5384,4009,3458,4257,5040,3711,2232,4684,5175,4693,4232,4943,5491,5514,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,4496,3837,4663,3286,3913,2072,2288,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,1974,4508,2217,3831,4667,4729,4427,4804,2921,3693,4154,2563,4283,4285,4688,2503,4289,4811,4121,3623,2539,4176,4291,4431,3629,2950,3312,3303,2771,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,1823,2172,2521,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650,1446,1308,1238,1053,1131,1217,1484,1797,1554,667,1266,937,1755,34,749,1511,1517,1071,1170,961,1133,1274,41,35,29,119,3,47,12,3127,1316,1772,712,1321,894,1726,1635,1186,714,1557,1556,1346,1175,1152,1643,990,1069,32,1653,1562,1344,1470,764,860,709,842,919,1256])).
% 26.47/26.31 cnf(5672,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(a73,a73)),f68(x56721,x56721)))),
% 26.47/26.31 inference(scs_inference,[],[121,1809,137,128,467,517,194,5053,5120,5294,5433,5470,5535,5566,5642,205,252,257,316,427,469,472,4970,516,515,1812,541,594,595,225,465,491,535,263,195,4949,218,4922,5210,5213,5232,260,5061,223,415,4883,4925,5182,5228,5295,5360,5430,475,4974,5002,5359,407,397,488,482,5346,411,5154,5157,591,4928,5220,5298,5447,5539,147,250,4959,5024,5219,5276,5304,5307,5499,566,5027,354,5282,5288,307,4851,4876,5030,5086,5316,5351,5394,5521,5528,309,4854,4857,4931,4986,5021,5536,5627,310,4847,5176,5236,5313,5504,5599,5602,583,5441,304,4885,4967,4971,4977,5054,5197,5461,5557,5628,414,408,4890,4919,4934,5037,5045,5105,5172,5216,5417,5421,5424,5581,409,5050,5097,5285,5301,5401,5471,410,4990,5091,5235,590,4956,512,306,293,140,573,401,4871,489,4916,550,311,396,502,581,4872,308,5558,296,1810,287,290,571,412,135,134,301,286,133,555,132,3967,4216,2942,4146,4190,4214,4219,4227,3754,4966,4510,4569,3876,4180,3082,3783,3806,4005,4488,4757,2229,3834,4261,4690,2076,4913,2101,3720,4895,5281,3778,3791,5148,5164,5457,3801,5427,4184,4269,5129,4273,5254,5259,4188,5361,4589,4884,5181,5196,5204,5207,5229,5384,4009,3458,4257,5040,3711,2232,4684,5175,4693,4232,4943,5491,5514,4253,3824,4033,3897,1985,5244,3066,3799,3804,4935,5012,4240,4068,4678,4021,4496,3837,4663,3286,3913,2072,2288,3053,4639,2669,5187,4457,4237,4558,4860,5064,5067,5100,5103,1974,4508,2217,3831,4667,4729,4427,4804,2921,3693,4154,2563,4283,4285,4688,2503,4289,4811,4121,3623,2539,4176,4291,4431,3629,2950,3312,3303,2771,2882,2700,2837,3141,3364,2794,3619,3014,4863,4963,5192,5453,2088,2090,5265,1960,3583,2829,3055,4875,5193,1823,2172,2521,2802,2437,3149,2798,2115,2509,725,1725,1724,1546,1545,814,1120,701,1649,1749,1531,840,697,1677,1663,1661,820,1770,1402,1433,1294,1051,898,1103,981,1762,1734,931,743,1174,1122,1350,1242,1236,1066,1065,1055,1047,1045,901,998,1077,1240,1211,1765,1745,861,824,947,1012,1692,1750,666,8,1403,1328,1292,1119,1760,1759,1753,1208,1430,1032,721,1555,879,946,935,1282,791,1318,1515,1243,908,819,812,827,838,673,813,758,1441,1435,1506,1072,881,1271,1334,955,1611,1615,1664,837,36,1097,964,853,852,811,804,731,828,1457,1401,1136,1117,951,1253,1385,1345,1006,995,1761,1740,1732,1204,1203,845,770,1159,958,1551,1482,1526,1525,1523,1381,1042,963,1718,1541,1212,1756,1747,699,693,1711,857,878,1335,1179,1640,1693,846,675,986,810,1317,1280,1171,957,1751,1742,1741,1731,1786,603,656,1510,1771,1349,1794,999,907,1746,1744,916,1330,888,1695,1683,753,1461,1459,1324,1297,1264,1073,1743,1421,1425,1320,759,1674,1783,887,880,1237,1676,1476,1068,967,1448,1439,1214,897,1754,1752,1563,1455,1088,864,1507,795,1074,1764,1798,1118,1107,1453,896,902,1241,1234,943,934,1386,1005,996,707,1380,1169,1043,1040,1358,1675,1239,1784,1720,1050,1406,1775,48,1327,1300,1213,1160,949,1733,1017,1516,1719,1095,1805,1691,2,650,1446,1308,1238,1053,1131,1217,1484,1797,1554,667,1266,937,1755,34,749,1511,1517,1071,1170,961,1133,1274,41,35,29,119,3,47,12,3127,1316,1772,712,1321,894,1726,1635,1186,714,1557,1556,1346,1175,1152,1643,990,1069,32,1653,1562,1344,1470,764,860,709,842,919,1256,1519,120,991,1654,1651,711,1038,1259,1687])).
% 26.47/26.31 cnf(5701,plain,
% 26.47/26.31 (~E(f84(x57011,x57011),a72)),
% 26.47/26.31 inference(rename_variables,[],[1823])).
% 26.47/26.31 cnf(5707,plain,
% 26.47/26.31 (~E(f84(x57071,x57071),a72)),
% 26.47/26.31 inference(rename_variables,[],[1823])).
% 26.47/26.31 cnf(5714,plain,
% 26.47/26.31 (P1(f55(x57141,x57142))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5718,plain,
% 26.47/26.31 (P3(f56(f59(a77,x57181),f86(x57181,x57182)))),
% 26.47/26.31 inference(rename_variables,[],[414])).
% 26.47/26.31 cnf(5721,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f55(a92,x57211)))),
% 26.47/26.31 inference(rename_variables,[],[401])).
% 26.47/26.31 cnf(5722,plain,
% 26.47/26.31 (P1(f55(x57221,x57222))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5731,plain,
% 26.47/26.31 (P3(f62(f63(a78,x57311),x57311))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5737,plain,
% 26.47/26.31 (P3(f56(f59(a79,x57371),f86(x57371,a73)))),
% 26.47/26.31 inference(rename_variables,[],[409])).
% 26.47/26.31 cnf(5742,plain,
% 26.47/26.31 (P1(f55(x57421,x57422))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5748,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(a73,a73)),f68(x57481,x57481)))),
% 26.47/26.31 inference(rename_variables,[],[5672])).
% 26.47/26.31 cnf(5753,plain,
% 26.47/26.31 (P1(f55(x57531,x57532))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5754,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f55(a92,x57541)))),
% 26.47/26.31 inference(rename_variables,[],[401])).
% 26.47/26.31 cnf(5759,plain,
% 26.47/26.31 (~P3(f56(f59(a77,f86(a73,a73)),f68(x57591,x57591)))),
% 26.47/26.31 inference(rename_variables,[],[5672])).
% 26.47/26.31 cnf(5760,plain,
% 26.47/26.31 (P3(f56(f59(a77,f68(x57601,x57602)),x57601))),
% 26.47/26.31 inference(rename_variables,[],[464])).
% 26.47/26.31 cnf(5767,plain,
% 26.47/26.31 (P1(f55(x57671,x57672))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5771,plain,
% 26.47/26.31 (P3(f56(f59(a77,f68(x57711,x57712)),x57711))),
% 26.47/26.31 inference(rename_variables,[],[464])).
% 26.47/26.31 cnf(5774,plain,
% 26.47/26.31 (~E(f84(f84(x57741,x57741),a72),f84(x57742,x57742))),
% 26.47/26.31 inference(rename_variables,[],[570])).
% 26.47/26.31 cnf(5777,plain,
% 26.47/26.31 (P3(f56(f59(a77,x57771),f98(x57771,x57771)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5780,plain,
% 26.47/26.31 (P3(f58(f57(a76,a81),f55(a92,x57801)))),
% 26.47/26.31 inference(rename_variables,[],[401])).
% 26.47/26.31 cnf(5787,plain,
% 26.47/26.31 (~E(f84(f84(x57871,x57871),a72),f84(x57872,x57872))),
% 26.47/26.31 inference(rename_variables,[],[570])).
% 26.47/26.31 cnf(5793,plain,
% 26.47/26.31 (~E(f86(x57931,f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72))))),x57931)),
% 26.47/26.31 inference(rename_variables,[],[5241])).
% 26.47/26.31 cnf(5796,plain,
% 26.47/26.31 (P3(f56(f59(a77,f68(x57961,x57962)),x57961))),
% 26.47/26.31 inference(rename_variables,[],[464])).
% 26.47/26.31 cnf(5799,plain,
% 26.47/26.31 (P3(f62(f63(a78,a104),f99(x57991,x57991)))),
% 26.47/26.31 inference(rename_variables,[],[412])).
% 26.47/26.31 cnf(5802,plain,
% 26.47/26.31 (P3(f62(f63(a78,x58021),x58021))),
% 26.47/26.31 inference(rename_variables,[],[310])).
% 26.47/26.31 cnf(5806,plain,
% 26.47/26.31 (P3(f58(f57(a75,x58061),f84(x58061,a72)))),
% 26.47/26.31 inference(rename_variables,[],[408])).
% 26.47/26.31 cnf(5817,plain,
% 26.47/26.31 (P3(f58(f57(a75,f84(f97(f69(x58171,x58172),x58173),f84(f97(f69(x58172,x58171),x58173),f69(x58174,a72)))),x58174))),
% 26.47/26.31 inference(rename_variables,[],[5128])).
% 26.47/26.31 cnf(5820,plain,
% 26.47/26.31 (~P3(f62(f63(a78,f85(x58201,a104)),f85(x58201,f99(a74,f3(a5)))))),
% 26.47/26.31 inference(rename_variables,[],[4587])).
% 26.47/26.31 cnf(5823,plain,
% 26.47/26.31 (P1(f55(x58231,x58232))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5824,plain,
% 26.47/26.31 (P3(f58(f57(a76,x58241),f55(f87(x58241),f4(f2(f84(f84(f84(a1,a1),a72),f84(f84(a1,a1),a72)))))))),
% 26.47/26.31 inference(rename_variables,[],[512])).
% 26.47/26.31 cnf(5830,plain,
% 26.47/26.31 (P3(f56(f59(a77,f68(x58301,x58302)),x58301))),
% 26.47/26.31 inference(rename_variables,[],[464])).
% 26.47/26.31 cnf(5843,plain,
% 26.47/26.31 (P1(f55(x58431,x58432))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5849,plain,
% 26.47/26.31 (~P3(f62(f63(a78,f85(f70(a104,f99(a74,f3(a5))),f85(f99(f70(x58491,x58492),x58493),f85(f99(f70(x58492,x58491),x58493),x58494)))),x58494))),
% 26.47/26.31 inference(rename_variables,[],[5174])).
% 26.47/26.31 cnf(5885,plain,
% 26.47/26.31 (P3(f56(f59(a77,f68(x58851,x58852)),x58851))),
% 26.47/26.31 inference(rename_variables,[],[464])).
% 26.47/26.31 cnf(5888,plain,
% 26.47/26.31 (~P3(f62(f63(a80,f85(f99(x58881,x58882),f10(f85(f85(f99(f70(x58883,x58881),x58882),x58884),f85(a74,a74))))),f85(f99(x58883,x58882),x58884)))),
% 26.47/26.31 inference(rename_variables,[],[5261])).
% 26.47/26.31 cnf(5903,plain,
% 26.47/26.31 (P3(f56(f59(a77,x59031),f98(x59031,x59031)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5906,plain,
% 26.47/26.31 (P1(f55(x59061,x59062))),
% 26.47/26.31 inference(rename_variables,[],[250])).
% 26.47/26.31 cnf(5915,plain,
% 26.47/26.31 (P3(f56(f59(a77,x59151),f98(x59151,x59151)))),
% 26.47/26.31 inference(rename_variables,[],[415])).
% 26.47/26.31 cnf(5960,plain,
% 26.47/26.31 (P3(f56(f59(a77,f68(x59601,x59602)),x59601))),
% 26.47/26.31 inference(rename_variables,[],[464])).
% 26.47/26.31 cnf(5975,plain,
% 26.47/26.31 ($false),
% 26.47/26.31 inference(scs_inference,[],[121,138,495,209,378,542,226,596,467,533,249,570,5774,5787,544,222,415,5777,5903,5915,464,5760,5771,5796,5830,5885,5960,413,488,398,312,411,250,5714,5722,5742,5753,5767,5823,5843,5906,307,309,310,5731,5802,414,5718,408,5806,409,5737,512,5824,401,5721,5754,5780,311,396,308,465,136,1810,287,412,5799,466,290,576,286,134,133,132,4412,5633,4207,1896,2880,5241,5793,5672,5748,5759,5606,3099,5142,5261,5888,4520,5131,5649,4889,5550,5174,5849,4735,5135,4781,5128,5817,5124,5534,3910,5372,5452,5374,2461,4587,5820,5341,5168,4844,4904,5270,5530,5507,5042,5350,4770,2517,2897,4229,3194,4682,4209,4777,4347,2767,4593,4227,4386,3441,2668,4176,2503,3623,2771,1868,1969,3055,1823,5701,5707,4811,2563,3151,4431,3831,2437,2798,2509,737,1215,712,1725,801,1561,1323,768,1321,1556,1649,1648,1132,840,1254,1080,1724,1677,1152,990,1069,743,1174,1350,1242,1120,998,1240,1211,1745,1557,1653,1739,1770,1758,1402,1433,1734,879,946,1346,1760,1515,1066,702,666,1208,1186,881,758,1506,1611,1256,1519,853,852,811,898,981,1006,1740,845,1122,1525,1523,1381,1065,1042,1212,1765,878,1335,1179,837,810,1294,1292,1119,1051,951,1103,1762,764,931,1349,1047,1045,1794,999,907,1747,721,860,1403,1097]),
% 26.47/26.31 ['proof']).
% 26.47/26.32 % SZS output end Proof
% 26.47/26.32 % Total time :24.580000s
%------------------------------------------------------------------------------