%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : NUM926+3 : TPTP v8.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 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 : Mon Jun 24 12:27:12 EDT 2024 % Result : Theorem 3.87s 3.87s % Output : CNFRefutation 3.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM926+3 : TPTP v8.2.0. Released v5.3.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Jun 23 03:24:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.48/0.57 start to proof:theBenchmark % 3.71/3.80 %------------------------------------------- % 3.71/3.80 % File :CSE---1.7 % 3.71/3.80 % Problem :theBenchmark % 3.71/3.80 % Transform :cnf % 3.71/3.80 % Format :tptp:raw % 3.71/3.80 % Command :java -jar mcs_scs.jar %d %s % 3.71/3.80 % 3.71/3.80 % Result :Theorem 2.120000s % 3.71/3.80 % Output :CNFRefutation 2.120000s % 3.71/3.80 %------------------------------------------- % 3.71/3.80 %------------------------------------------------------------------------------ % 3.71/3.80 % File : NUM926+3 : TPTP v8.2.0. Released v5.3.0. % 3.71/3.80 % Domain : Number Theory % 3.71/3.80 % Problem : Sum of two squares line 258, 1000 axioms selected % 3.71/3.80 % Version : Especial. % 3.71/3.80 % English : % 3.71/3.80 % 3.71/3.80 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 3.71/3.80 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 3.71/3.80 % Source : [Bla11] % 3.71/3.80 % Names : s2s_1000_fofmg_l258 [Bla11] % 3.71/3.80 % 3.71/3.80 % Status : Theorem % 3.71/3.80 % Rating : 0.61 v8.1.0, 0.50 v7.3.0, 0.52 v7.2.0, 0.48 v7.0.0, 0.53 v6.4.0, 0.54 v6.3.0, 0.50 v6.2.0, 0.64 v6.1.0, 0.73 v6.0.0, 0.78 v5.5.0, 0.81 v5.4.0, 0.86 v5.3.0 % 3.71/3.80 % Syntax : Number of formulae : 1230 ( 449 unt; 0 def) % 3.71/3.80 % Number of atoms : 2927 ( 845 equ) % 3.71/3.80 % Maximal formula atoms : 19 ( 2 avg) % 3.71/3.80 % Number of connectives : 1960 ( 263 ~; 74 |; 223 &) % 3.71/3.80 % ( 254 <=>;1146 =>; 0 <=; 0 <~>) % 3.71/3.80 % Maximal formula depth : 15 ( 5 avg) % 3.71/3.80 % Maximal term depth : 13 ( 2 avg) % 3.71/3.80 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty) % 3.71/3.80 % Number of functors : 76 ( 76 usr; 25 con; 0-2 aty) % 3.71/3.80 % Number of variables : 2632 (2609 !; 23 ?) % 3.71/3.80 % SPC : FOF_THM_RFO_SEQ % 3.71/3.80 % 3.71/3.80 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 3.71/3.80 % 2011-08-09 17:50:06 % 3.71/3.80 % : Encoded with monomorphized guards. % 3.71/3.80 %------------------------------------------------------------------------------ % 3.71/3.80 %----Explicit typings (25) % 3.71/3.80 fof(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,hypothesis, % 3.71/3.80 is_int(one_one_int) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint,axiom, % 3.71/3.80 is_int(zero_zero_int) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_HOL_Oundefined_000tc__Int__Oint,axiom, % 3.71/3.80 is_int(undefined_int(int)) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Int2_OMultInv,axiom, % 3.71/3.80 ! [B_1_1,B_2_1] : % 3.71/3.80 ( ( is_int(B_1_1) % 3.71/3.80 & is_int(B_2_1) ) % 3.71/3.80 => is_int(multInv(B_1_1,B_2_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_IntFact_Ozfact,axiom, % 3.71/3.80 ! [B_1_1] : % 3.71/3.80 ( is_int(B_1_1) % 3.71/3.80 => is_int(zfact(B_1_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Int_OBit0,hypothesis, % 3.71/3.80 ! [B_1_1] : % 3.71/3.80 ( is_int(B_1_1) % 3.71/3.80 => is_int(bit0(B_1_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Int_OBit1,hypothesis, % 3.71/3.80 ! [B_1_1] : % 3.71/3.80 ( is_int(B_1_1) % 3.71/3.80 => is_int(bit1(B_1_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Int_OMin,axiom, % 3.71/3.80 is_int(min) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Int_OPls,hypothesis, % 3.71/3.80 is_int(pls) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Int_Onumber__class_Onumber__of_000tc__Int__Oint,hypothesis, % 3.71/3.80 ! [B_1_1] : % 3.71/3.80 ( is_int(B_1_1) % 3.71/3.80 => is_int(number_number_of_int(B_1_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Residues_OLegendre,axiom, % 3.71/3.80 ! [B_1_1,B_2_1] : % 3.71/3.80 ( ( is_int(B_1_1) % 3.71/3.80 & is_int(B_2_1) ) % 3.71/3.80 => is_int(legendre(B_1_1,B_2_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_Residues_OStandardRes,axiom, % 3.71/3.80 ! [B_1_1,B_2_1] : % 3.71/3.80 ( ( is_int(B_1_1) % 3.71/3.80 & is_int(B_2_1) ) % 3.71/3.80 => is_int(standardRes(B_1_1,B_2_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_TwoSquares__Mirabelle__enbualjaop_Osum2sq,axiom, % 3.71/3.80 ! [B_1_1] : is_int(twoSqu1241645765sum2sq(B_1_1)) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_WilsonRuss_Oinv,axiom, % 3.71/3.80 ! [B_1_1,B_2_1] : % 3.71/3.80 ( ( is_int(B_1_1) % 3.71/3.80 & is_int(B_2_1) ) % 3.71/3.80 => is_int(inv(B_1_1,B_2_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,axiom, % 3.71/3.80 ! [B_1_1,B_2_1] : % 3.71/3.80 ( is_bool(B_2_1) % 3.71/3.80 => is_bool(hAPP_bool_bool(B_1_1,B_2_1)) ) ). % 3.71/3.80 % 3.71/3.80 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__HOL__Obool,axiom, % 3.71/3.80 ! [B_1_1,B_2_1] : % 3.71/3.81 ( is_int(B_2_1) % 3.71/3.81 => is_bool(hAPP_int_bool(B_1_1,B_2_1)) ) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint,hypothesis, % 3.71/3.81 ! [B_1_1,B_2_1] : % 3.71/3.81 ( is_int(B_2_1) % 3.71/3.81 => is_int(hAPP_int_int(B_1_1,B_2_1)) ) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool,axiom, % 3.71/3.81 ! [B_1_1,B_2_1] : is_bool(hAPP_nat_bool(B_1_1,B_2_1)) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint,hypothesis, % 3.71/3.81 ! [B_1_1,B_2_1] : is_int(hAPP_nat_int(B_1_1,B_2_1)) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_c_hAPP_000tc__RealDef__Oreal_000tc__HOL__Obool,axiom, % 3.71/3.81 ! [B_1_1,B_2_1] : is_bool(hAPP_real_bool(B_1_1,B_2_1)) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_c_member_000tc__Int__Oint,axiom, % 3.71/3.81 ! [B_1_1,B_2_1] : % 3.71/3.81 ( is_int(B_1_1) % 3.71/3.81 => is_bool(member_int(B_1_1,B_2_1)) ) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_v_m,hypothesis, % 3.71/3.81 is_int(m) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_v_s1____,axiom, % 3.71/3.81 is_int(s1) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_v_s____,axiom, % 3.71/3.81 is_int(s) ). % 3.71/3.81 % 3.71/3.81 fof(gsy_v_t____,axiom, % 3.71/3.81 is_int(t) ). % 3.71/3.81 % 3.71/3.81 %----Relevant facts (1198) % 3.71/3.81 fof(fact_0_tpos,axiom, % 3.71/3.81 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom, % 3.71/3.81 ( t = one_one_int % 3.71/3.81 => ? [X,Y] : % 3.71/3.81 ( is_int(X) % 3.71/3.81 & is_int(Y) % 3.71/3.81 & hAPP_int_int(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))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom, % 3.71/3.81 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) % 3.71/3.81 => ? [X,Y] : % 3.71/3.81 ( is_int(X) % 3.71/3.81 & is_int(Y) % 3.71/3.81 & hAPP_int_int(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))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_3_t__l__p,axiom, % 3.71/3.81 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_4_p,axiom, % 3.71/3.81 hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_5_t,axiom, % 3.71/3.81 hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) ). % 3.71/3.81 % 3.71/3.81 fof(fact_6_qf1pt,axiom, % 3.71/3.81 hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_7_zadd__power2,axiom, % 3.71/3.81 ! [A,B] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),A)),B))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_8_zadd__power3,axiom, % 3.71/3.81 ! [A,B] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_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))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),A)),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit1(bit1(pls))))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_9_power2__sum,axiom, % 3.71/3.81 ! [X_2,Y_2] : hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X_2),Y_2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X_2)),Y_2)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_10_power2__sum,axiom, % 3.71/3.81 ! [X_2,Y_2] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(plus_plus_nat(X_2),Y_2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(power_power_nat(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),X_2)),Y_2)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_11_power2__sum,axiom, % 3.71/3.81 ! [X_2,Y_2] : hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X_2),Y_2)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_2),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X_2)),Y_2)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_12_power2__eq__square__number__of,axiom, % 3.71/3.81 ! [W_16] : hAPP_nat_int(power_power_int(number_number_of_int(W_16)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(number_number_of_int(W_16)),number_number_of_int(W_16)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_13_power2__eq__square__number__of,axiom, % 3.71/3.81 ! [W_16] : hAPP_nat_real(power_power_real(number267125858f_real(W_16)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(times_times_real(number267125858f_real(W_16)),number267125858f_real(W_16)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_14_power2__eq__square__number__of,axiom, % 3.71/3.81 ! [W_16] : hAPP_nat_nat(power_power_nat(number_number_of_nat(W_16)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(number_number_of_nat(W_16)),number_number_of_nat(W_16)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_15_cube__square,axiom, % 3.71/3.81 ! [A] : hAPP_int_int(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)))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_16_one__power2,axiom, % 3.71/3.81 hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls)))) = one_one_int ). % 3.71/3.81 % 3.71/3.81 fof(fact_17_one__power2,axiom, % 3.71/3.81 hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls)))) = one_one_nat ). % 3.71/3.81 % 3.71/3.81 fof(fact_18_one__power2,axiom, % 3.71/3.81 hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls)))) = one_one_real ). % 3.71/3.81 % 3.71/3.81 fof(fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 3.71/3.81 ! [X_26] : hAPP_int_int(times_times_int(X_26),X_26) = hAPP_nat_int(power_power_int(X_26),number_number_of_nat(bit0(bit1(pls)))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_20_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 3.71/3.81 ! [X_26] : hAPP_real_real(times_times_real(X_26),X_26) = hAPP_nat_real(power_power_real(X_26),number_number_of_nat(bit0(bit1(pls)))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_21_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 3.71/3.81 ! [X_26] : hAPP_nat_nat(times_times_nat(X_26),X_26) = hAPP_nat_nat(power_power_nat(X_26),number_number_of_nat(bit0(bit1(pls)))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_22_power2__eq__square,axiom, % 3.71/3.81 ! [A_112] : hAPP_nat_int(power_power_int(A_112),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(A_112),A_112) ). % 3.71/3.81 % 3.71/3.81 fof(fact_23_power2__eq__square,axiom, % 3.71/3.81 ! [A_112] : hAPP_nat_real(power_power_real(A_112),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(times_times_real(A_112),A_112) ). % 3.71/3.81 % 3.71/3.81 fof(fact_24_power2__eq__square,axiom, % 3.71/3.81 ! [A_112] : hAPP_nat_nat(power_power_nat(A_112),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(times_times_nat(A_112),A_112) ). % 3.71/3.81 % 3.71/3.81 fof(fact_25_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 3.71/3.81 ! [X_25,N_40] : hAPP_nat_int(power_power_int(X_25),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_40)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X_25),N_40)),hAPP_nat_int(power_power_int(X_25),N_40)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_26_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 3.71/3.81 ! [X_25,N_40] : hAPP_nat_real(power_power_real(X_25),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_40)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X_25),N_40)),hAPP_nat_real(power_power_real(X_25),N_40)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_27_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 3.71/3.81 ! [X_25,N_40] : hAPP_nat_nat(power_power_nat(X_25),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_40)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X_25),N_40)),hAPP_nat_nat(power_power_nat(X_25),N_40)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_28_add__special_I2_J,axiom, % 3.71/3.81 ! [W_15] : hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_15)) = number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),W_15)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_29_add__special_I2_J,axiom, % 3.71/3.81 ! [W_15] : hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_15)) = number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),W_15)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_30_add__special_I3_J,axiom, % 3.71/3.81 ! [V_21] : hAPP_int_int(plus_plus_int(number_number_of_int(V_21)),one_one_int) = number_number_of_int(hAPP_int_int(plus_plus_int(V_21),bit1(pls))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_31_add__special_I3_J,axiom, % 3.71/3.81 ! [V_21] : hAPP_real_real(plus_plus_real(number267125858f_real(V_21)),one_one_real) = number267125858f_real(hAPP_int_int(plus_plus_int(V_21),bit1(pls))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_32_one__add__one__is__two,axiom, % 3.71/3.81 hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_33_one__add__one__is__two,axiom, % 3.71/3.81 hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))) ). % 3.71/3.81 % 3.71/3.81 fof(fact_34__096_B_Bthesis_O_A_I_B_Bt_O_As_A_094_A2_A_L_A1_A_061_A_I4_A_K_Am_A_L_A1_,axiom, % 3.71/3.81 ~ ! [T_1] : % 3.71/3.81 ( is_int(T_1) % 3.71/3.81 => hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) != hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),T_1) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_35_zle__refl,axiom, % 3.71/3.81 ! [W] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),W)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_36_zle__linear,axiom, % 3.71/3.81 ! [Z,W] : % 3.71/3.81 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W)) % 3.71/3.81 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z)) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_37_zless__le,axiom, % 3.71/3.81 ! [Z_1,W_1] : % 3.71/3.81 ( ( is_int(Z_1) % 3.71/3.81 & is_int(W_1) ) % 3.71/3.81 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1)) % 3.71/3.81 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1)) % 3.71/3.81 & Z_1 != W_1 ) ) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_38_zless__linear,axiom, % 3.71/3.81 ! [X_1,Y_1] : % 3.71/3.81 ( ( is_int(X_1) % 3.71/3.81 & is_int(Y_1) ) % 3.71/3.81 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1)) % 3.71/3.81 | X_1 = Y_1 % 3.71/3.81 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1)) ) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_39_zle__trans,axiom, % 3.71/3.81 ! [K_1,I_1,J_1] : % 3.71/3.81 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),J_1)) % 3.71/3.81 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,J_1),K_1)) % 3.71/3.81 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),K_1)) ) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_40_zle__antisym,axiom, % 3.71/3.81 ! [Z,W] : % 3.71/3.81 ( ( is_int(Z) % 3.71/3.81 & is_int(W) ) % 3.71/3.81 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),W)) % 3.71/3.81 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W),Z)) % 3.71/3.81 => Z = W ) ) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_41_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 3.71/3.81 ! [X_24,P_7,Q_7] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X_24),P_7)),Q_7) = hAPP_nat_int(power_power_int(X_24),hAPP_nat_nat(times_times_nat(P_7),Q_7)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 3.71/3.81 ! [X_24,P_7,Q_7] : hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(X_24),P_7)),Q_7) = hAPP_nat_real(power_power_real(X_24),hAPP_nat_nat(times_times_nat(P_7),Q_7)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 3.71/3.81 ! [X_24,P_7,Q_7] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(X_24),P_7)),Q_7) = hAPP_nat_nat(power_power_nat(X_24),hAPP_nat_nat(times_times_nat(P_7),Q_7)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 3.71/3.81 ! [X_23] : % 3.71/3.81 ( is_int(X_23) % 3.71/3.81 => hAPP_nat_int(power_power_int(X_23),one_one_nat) = X_23 ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_45_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 3.71/3.81 ! [X_23] : hAPP_nat_real(power_power_real(X_23),one_one_nat) = X_23 ). % 3.71/3.81 % 3.71/3.81 fof(fact_46_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 3.71/3.81 ! [X_23] : hAPP_nat_nat(power_power_nat(X_23),one_one_nat) = X_23 ). % 3.71/3.81 % 3.71/3.81 fof(fact_47_zpower__zpower,axiom, % 3.71/3.81 ! [X_1,Y_1,Z] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X_1),Y_1)),Z) = hAPP_nat_int(power_power_int(X_1),hAPP_nat_nat(times_times_nat(Y_1),Z)) ). % 3.71/3.81 % 3.71/3.81 fof(fact_48_le__number__of__eq__not__less,axiom, % 3.71/3.81 ! [V_7,W_1] : % 3.71/3.81 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(V_7)),number_number_of_int(W_1))) % 3.71/3.81 <=> ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(W_1)),number_number_of_int(V_7))) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_49_le__number__of__eq__not__less,axiom, % 3.71/3.81 ! [V_7,W_1] : % 3.71/3.81 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(V_7)),number_number_of_nat(W_1))) % 3.71/3.81 <=> ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(W_1)),number_number_of_nat(V_7))) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_50_le__number__of__eq__not__less,axiom, % 3.71/3.81 ! [V_7,W_1] : % 3.71/3.81 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(V_7)),number267125858f_real(W_1))) % 3.71/3.81 <=> ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(W_1)),number267125858f_real(V_7))) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_51_less__number__of,axiom, % 3.71/3.81 ! [X_2,Y_2] : % 3.71/3.81 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X_2)),number_number_of_int(Y_2))) % 3.71/3.81 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2)) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_52_less__number__of,axiom, % 3.71/3.81 ! [X_2,Y_2] : % 3.71/3.81 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X_2)),number267125858f_real(Y_2))) % 3.71/3.81 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2)) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_53_le__number__of,axiom, % 3.71/3.81 ! [X_2,Y_2] : % 3.71/3.81 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X_2)),number_number_of_int(Y_2))) % 3.71/3.81 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_2),Y_2)) ) ). % 3.71/3.81 % 3.71/3.81 fof(fact_54_le__number__of,axiom, % 3.71/3.81 ! [X_2,Y_2] : % 3.71/3.81 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X_2)),number267125858f_real(Y_2))) % 3.71/3.81 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_2),Y_2)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_55_zadd__zless__mono,axiom, % 3.71/3.82 ! [Z_10,Z,W_14,W] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_14),W)) % 3.71/3.82 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_10),Z)) % 3.71/3.82 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(W_14),Z_10)),hAPP_int_int(plus_plus_int(W),Z))) ) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_56_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 3.71/3.82 ! [X_22,P_6,Q_6] : hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X_22),P_6)),hAPP_nat_int(power_power_int(X_22),Q_6)) = hAPP_nat_int(power_power_int(X_22),hAPP_nat_nat(plus_plus_nat(P_6),Q_6)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_57_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 3.71/3.82 ! [X_22,P_6,Q_6] : hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X_22),P_6)),hAPP_nat_real(power_power_real(X_22),Q_6)) = hAPP_nat_real(power_power_real(X_22),hAPP_nat_nat(plus_plus_nat(P_6),Q_6)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_58_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 3.71/3.82 ! [X_22,P_6,Q_6] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X_22),P_6)),hAPP_nat_nat(power_power_nat(X_22),Q_6)) = hAPP_nat_nat(power_power_nat(X_22),hAPP_nat_nat(plus_plus_nat(P_6),Q_6)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_59_zpower__zadd__distrib,axiom, % 3.71/3.82 ! [X_1,Y_1,Z] : hAPP_nat_int(power_power_int(X_1),hAPP_nat_nat(plus_plus_nat(Y_1),Z)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X_1),Y_1)),hAPP_nat_int(power_power_int(X_1),Z)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_60_nat__mult__2,axiom, % 3.71/3.82 ! [Z] : hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),Z) = hAPP_nat_nat(plus_plus_nat(Z),Z) ). % 3.71/3.82 % 3.71/3.82 fof(fact_61_nat__mult__2__right,axiom, % 3.71/3.82 ! [Z] : hAPP_nat_nat(times_times_nat(Z),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(Z),Z) ). % 3.71/3.82 % 3.71/3.82 fof(fact_62_nat__1__add__1,axiom, % 3.71/3.82 hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ). % 3.71/3.82 % 3.71/3.82 fof(fact_63_less__int__code_I16_J,axiom, % 3.71/3.82 ! [K1,K2] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_64_rel__simps_I17_J,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit1(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_65_less__eq__int__code_I16_J,axiom, % 3.71/3.82 ! [K1,K2] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit1(K2))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_66_rel__simps_I34_J,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),bit1(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_67_rel__simps_I2_J,axiom, % 3.71/3.82 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_68_less__int__code_I13_J,axiom, % 3.71/3.82 ! [K1,K2] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_69_rel__simps_I14_J,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit0(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_70_rel__simps_I19_J,axiom, % 3.71/3.82 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_71_less__eq__int__code_I13_J,axiom, % 3.71/3.82 ! [K1,K2] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K1)),bit0(K2))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_72_rel__simps_I31_J,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),bit0(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_73_less__number__of__int__code,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K)),number_number_of_int(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_74_less__eq__number__of__int__code,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(K)),number_number_of_int(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_75_zadd__strict__right__mono,axiom, % 3.71/3.82 ! [K_1,I_1,J_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J_1)) % 3.71/3.82 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(I_1),K_1)),hAPP_int_int(plus_plus_int(J_1),K_1))) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_76_zadd__left__mono,axiom, % 3.71/3.82 ! [K_1,I_1,J_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_1),J_1)) % 3.71/3.82 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(K_1),I_1)),hAPP_int_int(plus_plus_int(K_1),J_1))) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_77_add__nat__number__of,axiom, % 3.71/3.82 ! [V_6,V] : % 3.71/3.82 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.71/3.82 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_6)) = number_number_of_nat(V_6) ) % 3.71/3.82 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.71/3.82 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 3.71/3.82 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_6)) = number_number_of_nat(V) ) % 3.71/3.82 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls)) % 3.71/3.82 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V)),number_number_of_nat(V_6)) = number_number_of_nat(hAPP_int_int(plus_plus_int(V),V_6)) ) ) ) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_78_nat__numeral__1__eq__1,axiom, % 3.71/3.82 number_number_of_nat(bit1(pls)) = one_one_nat ). % 3.71/3.82 % 3.71/3.82 fof(fact_79_Numeral1__eq1__nat,axiom, % 3.71/3.82 one_one_nat = number_number_of_nat(bit1(pls)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_80_rel__simps_I29_J,axiom, % 3.71/3.82 ! [K] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),pls)) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_81_rel__simps_I5_J,axiom, % 3.71/3.82 ! [K] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_82_less__eq__int__code_I15_J,axiom, % 3.71/3.82 ! [K1,K2] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K1)),bit0(K2))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_83_rel__simps_I33_J,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),bit0(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_84_less__int__code_I14_J,axiom, % 3.71/3.82 ! [K1,K2] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_85_rel__simps_I15_J,axiom, % 3.71/3.82 ! [K,L_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),bit1(L_1))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_86_zless__imp__add1__zle,axiom, % 3.71/3.82 ! [W,Z] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z)) % 3.71/3.82 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(W),one_one_int)),Z)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_87_add1__zle__eq,axiom, % 3.71/3.82 ! [W_1,Z_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(W_1),one_one_int)),Z_1)) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_88_zle__add1__eq__le,axiom, % 3.71/3.82 ! [W_1,Z_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(plus_plus_int(Z_1),one_one_int))) % 3.71/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),Z_1)) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_89_zprime__2,axiom, % 3.71/3.82 hBOOL(hAPP_int_bool(zprime,number_number_of_int(bit0(bit1(pls))))) ). % 3.71/3.82 % 3.71/3.82 fof(fact_90_is__mult__sum2sq,axiom, % 3.71/3.82 ! [Y_1,X_1] : % 3.71/3.82 ( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X_1)) % 3.71/3.82 => ( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,Y_1)) % 3.71/3.82 => hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,hAPP_int_int(times_times_int(X_1),Y_1))) ) ) ). % 3.71/3.82 % 3.71/3.82 fof(fact_91_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 3.71/3.82 ! [Lx_6,Ly_4,Rx_6,Ry_4] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_6),Ly_4)),hAPP_int_int(times_times_int(Rx_6),Ry_4)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_6),Rx_6)),hAPP_int_int(times_times_int(Ly_4),Ry_4)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_92_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 3.71/3.82 ! [Lx_6,Ly_4,Rx_6,Ry_4] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_6),Ly_4)),hAPP_nat_nat(times_times_nat(Rx_6),Ry_4)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_6),Rx_6)),hAPP_nat_nat(times_times_nat(Ly_4),Ry_4)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_93_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 3.71/3.82 ! [Lx_6,Ly_4,Rx_6,Ry_4] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_6),Ly_4)),hAPP_real_real(times_times_real(Rx_6),Ry_4)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_6),Rx_6)),hAPP_real_real(times_times_real(Ly_4),Ry_4)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_94_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 3.71/3.82 ! [Lx_5,Ly_3,Rx_5,Ry_3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_5),Ly_3)),hAPP_int_int(times_times_int(Rx_5),Ry_3)) = hAPP_int_int(times_times_int(Rx_5),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_5),Ly_3)),Ry_3)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_95_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 3.71/3.82 ! [Lx_5,Ly_3,Rx_5,Ry_3] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_5),Ly_3)),hAPP_nat_nat(times_times_nat(Rx_5),Ry_3)) = hAPP_nat_nat(times_times_nat(Rx_5),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_5),Ly_3)),Ry_3)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_96_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 3.71/3.82 ! [Lx_5,Ly_3,Rx_5,Ry_3] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_5),Ly_3)),hAPP_real_real(times_times_real(Rx_5),Ry_3)) = hAPP_real_real(times_times_real(Rx_5),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_5),Ly_3)),Ry_3)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_97_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 3.71/3.82 ! [Lx_4,Ly_2,Rx_4,Ry_2] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_4),Ly_2)),hAPP_int_int(times_times_int(Rx_4),Ry_2)) = hAPP_int_int(times_times_int(Lx_4),hAPP_int_int(times_times_int(Ly_2),hAPP_int_int(times_times_int(Rx_4),Ry_2))) ). % 3.71/3.82 % 3.71/3.82 fof(fact_98_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 3.71/3.82 ! [Lx_4,Ly_2,Rx_4,Ry_2] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_4),Ly_2)),hAPP_nat_nat(times_times_nat(Rx_4),Ry_2)) = hAPP_nat_nat(times_times_nat(Lx_4),hAPP_nat_nat(times_times_nat(Ly_2),hAPP_nat_nat(times_times_nat(Rx_4),Ry_2))) ). % 3.71/3.82 % 3.71/3.82 fof(fact_99_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 3.71/3.82 ! [Lx_4,Ly_2,Rx_4,Ry_2] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_4),Ly_2)),hAPP_real_real(times_times_real(Rx_4),Ry_2)) = hAPP_real_real(times_times_real(Lx_4),hAPP_real_real(times_times_real(Ly_2),hAPP_real_real(times_times_real(Rx_4),Ry_2))) ). % 3.71/3.82 % 3.71/3.82 fof(fact_100_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 3.71/3.82 ! [Lx_3,Ly_1,Rx_3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Ly_1)),Rx_3) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_3),Rx_3)),Ly_1) ). % 3.71/3.82 % 3.71/3.82 fof(fact_101_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 3.71/3.82 ! [Lx_3,Ly_1,Rx_3] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_3),Ly_1)),Rx_3) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_3),Rx_3)),Ly_1) ). % 3.71/3.82 % 3.71/3.82 fof(fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 3.71/3.82 ! [Lx_3,Ly_1,Rx_3] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_3),Ly_1)),Rx_3) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_3),Rx_3)),Ly_1) ). % 3.71/3.82 % 3.71/3.82 fof(fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 3.71/3.82 ! [Lx_2,Ly,Rx_2] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_2),Ly)),Rx_2) = hAPP_int_int(times_times_int(Lx_2),hAPP_int_int(times_times_int(Ly),Rx_2)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_104_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 3.71/3.82 ! [Lx_2,Ly,Rx_2] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_2),Ly)),Rx_2) = hAPP_nat_nat(times_times_nat(Lx_2),hAPP_nat_nat(times_times_nat(Ly),Rx_2)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_105_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 3.71/3.82 ! [Lx_2,Ly,Rx_2] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_2),Ly)),Rx_2) = hAPP_real_real(times_times_real(Lx_2),hAPP_real_real(times_times_real(Ly),Rx_2)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_106_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 3.71/3.82 ! [Lx_1,Rx_1,Ry_1] : hAPP_int_int(times_times_int(Lx_1),hAPP_int_int(times_times_int(Rx_1),Ry_1)) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_1),Rx_1)),Ry_1) ). % 3.71/3.82 % 3.71/3.82 fof(fact_107_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 3.71/3.82 ! [Lx_1,Rx_1,Ry_1] : hAPP_nat_nat(times_times_nat(Lx_1),hAPP_nat_nat(times_times_nat(Rx_1),Ry_1)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(Lx_1),Rx_1)),Ry_1) ). % 3.71/3.82 % 3.71/3.82 fof(fact_108_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 3.71/3.82 ! [Lx_1,Rx_1,Ry_1] : hAPP_real_real(times_times_real(Lx_1),hAPP_real_real(times_times_real(Rx_1),Ry_1)) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Lx_1),Rx_1)),Ry_1) ). % 3.71/3.82 % 3.71/3.82 fof(fact_109_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 3.71/3.82 ! [Lx,Rx,Ry] : hAPP_int_int(times_times_int(Lx),hAPP_int_int(times_times_int(Rx),Ry)) = hAPP_int_int(times_times_int(Rx),hAPP_int_int(times_times_int(Lx),Ry)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_110_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 3.71/3.82 ! [Lx,Rx,Ry] : hAPP_nat_nat(times_times_nat(Lx),hAPP_nat_nat(times_times_nat(Rx),Ry)) = hAPP_nat_nat(times_times_nat(Rx),hAPP_nat_nat(times_times_nat(Lx),Ry)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_111_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 3.71/3.82 ! [Lx,Rx,Ry] : hAPP_real_real(times_times_real(Lx),hAPP_real_real(times_times_real(Rx),Ry)) = hAPP_real_real(times_times_real(Rx),hAPP_real_real(times_times_real(Lx),Ry)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 3.71/3.82 ! [A_111,B_63] : hAPP_int_int(times_times_int(A_111),B_63) = hAPP_int_int(times_times_int(B_63),A_111) ). % 3.71/3.82 % 3.71/3.82 fof(fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 3.71/3.82 ! [A_111,B_63] : hAPP_nat_nat(times_times_nat(A_111),B_63) = hAPP_nat_nat(times_times_nat(B_63),A_111) ). % 3.71/3.82 % 3.71/3.82 fof(fact_114_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 3.71/3.82 ! [A_111,B_63] : hAPP_real_real(times_times_real(A_111),B_63) = hAPP_real_real(times_times_real(B_63),A_111) ). % 3.71/3.82 % 3.71/3.82 fof(fact_115_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 3.71/3.82 ! [A_110,B_62,C_35,D_11] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_110),B_62)),hAPP_int_int(plus_plus_int(C_35),D_11)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_110),C_35)),hAPP_int_int(plus_plus_int(B_62),D_11)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_116_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 3.71/3.82 ! [A_110,B_62,C_35,D_11] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_110),B_62)),hAPP_nat_nat(plus_plus_nat(C_35),D_11)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_110),C_35)),hAPP_nat_nat(plus_plus_nat(B_62),D_11)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_117_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 3.71/3.82 ! [A_110,B_62,C_35,D_11] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_110),B_62)),hAPP_real_real(plus_plus_real(C_35),D_11)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_110),C_35)),hAPP_real_real(plus_plus_real(B_62),D_11)) ). % 3.71/3.82 % 3.71/3.82 fof(fact_118_mem__def,axiom, % 3.71/3.82 ! [X_2,A_109] : % 3.71/3.82 ( hBOOL(member_int(X_2,A_109)) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(A_109,X_2)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_119_Collect__def,axiom, % 3.78/3.82 ! [P_2] : collect_int(P_2) = P_2 ). % 3.78/3.82 % 3.78/3.82 fof(fact_120_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 3.78/3.82 ! [A_108,B_61,C_34] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_108),B_61)),C_34) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_108),C_34)),B_61) ). % 3.78/3.82 % 3.78/3.82 fof(fact_121_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 3.78/3.82 ! [A_108,B_61,C_34] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_108),B_61)),C_34) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_108),C_34)),B_61) ). % 3.78/3.82 % 3.78/3.82 fof(fact_122_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 3.78/3.82 ! [A_108,B_61,C_34] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_108),B_61)),C_34) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_108),C_34)),B_61) ). % 3.78/3.82 % 3.78/3.82 fof(fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 3.78/3.82 ! [A_107,B_60,C_33] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_107),B_60)),C_33) = hAPP_int_int(plus_plus_int(A_107),hAPP_int_int(plus_plus_int(B_60),C_33)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_124_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 3.78/3.82 ! [A_107,B_60,C_33] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_107),B_60)),C_33) = hAPP_nat_nat(plus_plus_nat(A_107),hAPP_nat_nat(plus_plus_nat(B_60),C_33)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_125_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 3.78/3.82 ! [A_107,B_60,C_33] : hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_107),B_60)),C_33) = hAPP_real_real(plus_plus_real(A_107),hAPP_real_real(plus_plus_real(B_60),C_33)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_126_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 3.78/3.82 ! [A_106,C_32,D_10] : hAPP_int_int(plus_plus_int(A_106),hAPP_int_int(plus_plus_int(C_32),D_10)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_106),C_32)),D_10) ). % 3.78/3.82 % 3.78/3.82 fof(fact_127_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 3.78/3.82 ! [A_106,C_32,D_10] : hAPP_nat_nat(plus_plus_nat(A_106),hAPP_nat_nat(plus_plus_nat(C_32),D_10)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_106),C_32)),D_10) ). % 3.78/3.82 % 3.78/3.82 fof(fact_128_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 3.78/3.82 ! [A_106,C_32,D_10] : hAPP_real_real(plus_plus_real(A_106),hAPP_real_real(plus_plus_real(C_32),D_10)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_106),C_32)),D_10) ). % 3.78/3.82 % 3.78/3.82 fof(fact_129_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 3.78/3.82 ! [A_105,C_31,D_9] : hAPP_int_int(plus_plus_int(A_105),hAPP_int_int(plus_plus_int(C_31),D_9)) = hAPP_int_int(plus_plus_int(C_31),hAPP_int_int(plus_plus_int(A_105),D_9)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_130_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 3.78/3.82 ! [A_105,C_31,D_9] : hAPP_nat_nat(plus_plus_nat(A_105),hAPP_nat_nat(plus_plus_nat(C_31),D_9)) = hAPP_nat_nat(plus_plus_nat(C_31),hAPP_nat_nat(plus_plus_nat(A_105),D_9)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_131_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 3.78/3.82 ! [A_105,C_31,D_9] : hAPP_real_real(plus_plus_real(A_105),hAPP_real_real(plus_plus_real(C_31),D_9)) = hAPP_real_real(plus_plus_real(C_31),hAPP_real_real(plus_plus_real(A_105),D_9)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 3.78/3.82 ! [A_104,C_30] : hAPP_int_int(plus_plus_int(A_104),C_30) = hAPP_int_int(plus_plus_int(C_30),A_104) ). % 3.78/3.82 % 3.78/3.82 fof(fact_133_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 3.78/3.82 ! [A_104,C_30] : hAPP_nat_nat(plus_plus_nat(A_104),C_30) = hAPP_nat_nat(plus_plus_nat(C_30),A_104) ). % 3.78/3.82 % 3.78/3.82 fof(fact_134_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 3.78/3.82 ! [A_104,C_30] : hAPP_real_real(plus_plus_real(A_104),C_30) = hAPP_real_real(plus_plus_real(C_30),A_104) ). % 3.78/3.82 % 3.78/3.82 fof(fact_135_eq__number__of,axiom, % 3.78/3.82 ! [X_2,Y_2] : % 3.78/3.82 ( ( is_int(X_2) % 3.78/3.82 & is_int(Y_2) ) % 3.78/3.82 => ( number_number_of_int(X_2) = number_number_of_int(Y_2) % 3.78/3.82 <=> X_2 = Y_2 ) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_136_eq__number__of,axiom, % 3.78/3.82 ! [X_2,Y_2] : % 3.78/3.82 ( ( is_int(X_2) % 3.78/3.82 & is_int(Y_2) ) % 3.78/3.82 => ( number267125858f_real(X_2) = number267125858f_real(Y_2) % 3.78/3.82 <=> X_2 = Y_2 ) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_137_number__of__reorient,axiom, % 3.78/3.82 ! [W_1,X_2] : % 3.78/3.82 ( number_number_of_nat(W_1) = X_2 % 3.78/3.82 <=> X_2 = number_number_of_nat(W_1) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_138_number__of__reorient,axiom, % 3.78/3.82 ! [W_1,X_2] : % 3.78/3.82 ( is_int(X_2) % 3.78/3.82 => ( number_number_of_int(W_1) = X_2 % 3.78/3.82 <=> X_2 = number_number_of_int(W_1) ) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_139_number__of__reorient,axiom, % 3.78/3.82 ! [W_1,X_2] : % 3.78/3.82 ( number267125858f_real(W_1) = X_2 % 3.78/3.82 <=> X_2 = number267125858f_real(W_1) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_140_rel__simps_I51_J,axiom, % 3.78/3.82 ! [K,L_1] : % 3.78/3.82 ( ( is_int(K) % 3.78/3.82 & is_int(L_1) ) % 3.78/3.82 => ( bit1(K) = bit1(L_1) % 3.78/3.82 <=> K = L_1 ) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_141_rel__simps_I48_J,axiom, % 3.78/3.82 ! [K,L_1] : % 3.78/3.82 ( ( is_int(K) % 3.78/3.82 & is_int(L_1) ) % 3.78/3.82 => ( bit0(K) = bit0(L_1) % 3.78/3.82 <=> K = L_1 ) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_142_zmult__assoc,axiom, % 3.78/3.82 ! [Z1,Z2,Z3] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3) = hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_143_zmult__commute,axiom, % 3.78/3.82 ! [Z,W] : hAPP_int_int(times_times_int(Z),W) = hAPP_int_int(times_times_int(W),Z) ). % 3.78/3.82 % 3.78/3.82 fof(fact_144_number__of__is__id,axiom, % 3.78/3.82 ! [K_1] : % 3.78/3.82 ( is_int(K_1) % 3.78/3.82 => number_number_of_int(K_1) = K_1 ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_145_zadd__assoc,axiom, % 3.78/3.82 ! [Z1,Z2,Z3] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(Z1),Z2)),Z3) = hAPP_int_int(plus_plus_int(Z1),hAPP_int_int(plus_plus_int(Z2),Z3)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_146_zadd__left__commute,axiom, % 3.78/3.82 ! [X_1,Y_1,Z] : hAPP_int_int(plus_plus_int(X_1),hAPP_int_int(plus_plus_int(Y_1),Z)) = hAPP_int_int(plus_plus_int(Y_1),hAPP_int_int(plus_plus_int(X_1),Z)) ). % 3.78/3.82 % 3.78/3.82 fof(fact_147_zadd__commute,axiom, % 3.78/3.82 ! [Z,W] : hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z) ). % 3.78/3.82 % 3.78/3.82 fof(fact_148_rel__simps_I12_J,axiom, % 3.78/3.82 ! [K] : % 3.78/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),pls)) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_149_less__int__code_I15_J,axiom, % 3.78/3.82 ! [K1,K2] : % 3.78/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2))) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_150_rel__simps_I16_J,axiom, % 3.78/3.82 ! [K,L_1] : % 3.78/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),bit0(L_1))) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_151_rel__simps_I10_J,axiom, % 3.78/3.82 ! [K] : % 3.78/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),pls)) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_152_rel__simps_I4_J,axiom, % 3.78/3.82 ! [K] : % 3.78/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K))) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_153_rel__simps_I22_J,axiom, % 3.78/3.82 ! [K] : % 3.78/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit1(K))) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_154_less__eq__int__code_I14_J,axiom, % 3.78/3.82 ! [K1,K2] : % 3.78/3.82 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K1)),bit1(K2))) % 3.78/3.82 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K1),K2)) ) ). % 3.78/3.82 % 3.78/3.82 fof(fact_155_rel__simps_I32_J,axiom, % 3.78/3.83 ! [K,L_1] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),bit1(L_1))) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),L_1)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_156_rel__simps_I27_J,axiom, % 3.78/3.83 ! [K] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),pls)) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),pls)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_157_rel__simps_I21_J,axiom, % 3.78/3.83 ! [K] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),bit0(K))) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),K)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_158_zless__add1__eq,axiom, % 3.78/3.83 ! [W_1,Z_1] : % 3.78/3.83 ( ( is_int(W_1) % 3.78/3.83 & is_int(Z_1) ) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(plus_plus_int(Z_1),one_one_int))) % 3.78/3.83 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)) % 3.78/3.83 | W_1 = Z_1 ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_159_power__even__eq,axiom, % 3.78/3.83 ! [A_103,N_39] : hAPP_nat_int(power_power_int(A_103),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_39)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(A_103),N_39)),number_number_of_nat(bit0(bit1(pls)))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_160_power__even__eq,axiom, % 3.78/3.83 ! [A_103,N_39] : hAPP_nat_real(power_power_real(A_103),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_39)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(A_103),N_39)),number_number_of_nat(bit0(bit1(pls)))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_161_power__even__eq,axiom, % 3.78/3.83 ! [A_103,N_39] : hAPP_nat_nat(power_power_nat(A_103),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_39)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(A_103),N_39)),number_number_of_nat(bit0(bit1(pls)))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_162_less__special_I4_J,axiom, % 3.78/3.83 ! [X_2] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X_2)),one_one_int)) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),bit1(pls))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_163_less__special_I4_J,axiom, % 3.78/3.83 ! [X_2] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X_2)),one_one_real)) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),bit1(pls))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_164_less__special_I2_J,axiom, % 3.78/3.83 ! [Y_2] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Y_2))) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Y_2)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_165_less__special_I2_J,axiom, % 3.78/3.83 ! [Y_2] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Y_2))) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Y_2)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_166_le__special_I4_J,axiom, % 3.78/3.83 ! [X_2] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X_2)),one_one_int)) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_2),bit1(pls))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_167_le__special_I4_J,axiom, % 3.78/3.83 ! [X_2] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X_2)),one_one_real)) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_2),bit1(pls))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_168_le__special_I2_J,axiom, % 3.78/3.83 ! [Y_2] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),number_number_of_int(Y_2))) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),Y_2)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_169_le__special_I2_J,axiom, % 3.78/3.83 ! [Y_2] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(Y_2))) % 3.78/3.83 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(pls)),Y_2)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_170_crossproduct__eq,axiom, % 3.78/3.83 ! [W_1,Y_2,X_2,Z_1] : % 3.78/3.83 ( ( is_int(W_1) % 3.78/3.83 & is_int(Y_2) % 3.78/3.83 & is_int(X_2) % 3.78/3.83 & is_int(Z_1) ) % 3.78/3.83 => ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W_1),Y_2)),hAPP_int_int(times_times_int(X_2),Z_1)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W_1),Z_1)),hAPP_int_int(times_times_int(X_2),Y_2)) % 3.78/3.83 <=> ( W_1 = X_2 % 3.78/3.83 | Y_2 = Z_1 ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_171_crossproduct__eq,axiom, % 3.78/3.83 ! [W_1,Y_2,X_2,Z_1] : % 3.78/3.83 ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W_1),Y_2)),hAPP_nat_nat(times_times_nat(X_2),Z_1)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(W_1),Z_1)),hAPP_nat_nat(times_times_nat(X_2),Y_2)) % 3.78/3.83 <=> ( W_1 = X_2 % 3.78/3.83 | Y_2 = Z_1 ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_172_crossproduct__eq,axiom, % 3.78/3.83 ! [W_1,Y_2,X_2,Z_1] : % 3.78/3.83 ( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W_1),Y_2)),hAPP_real_real(times_times_real(X_2),Z_1)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(W_1),Z_1)),hAPP_real_real(times_times_real(X_2),Y_2)) % 3.78/3.83 <=> ( W_1 = X_2 % 3.78/3.83 | Y_2 = Z_1 ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_173_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 3.78/3.83 ! [A_102,M_13,B_59] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_102),M_13)),hAPP_int_int(times_times_int(B_59),M_13)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_102),B_59)),M_13) ). % 3.78/3.83 % 3.78/3.83 fof(fact_174_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 3.78/3.83 ! [A_102,M_13,B_59] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_102),M_13)),hAPP_nat_nat(times_times_nat(B_59),M_13)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_102),B_59)),M_13) ). % 3.78/3.83 % 3.78/3.83 fof(fact_175_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 3.78/3.83 ! [A_102,M_13,B_59] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_102),M_13)),hAPP_real_real(times_times_real(B_59),M_13)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_102),B_59)),M_13) ). % 3.78/3.83 % 3.78/3.83 fof(fact_176_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 3.78/3.83 ! [A_101,B_58,C_29] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_101),B_58)),C_29) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_101),C_29)),hAPP_int_int(times_times_int(B_58),C_29)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_177_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 3.78/3.83 ! [A_101,B_58,C_29] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_101),B_58)),C_29) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_101),C_29)),hAPP_nat_nat(times_times_nat(B_58),C_29)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_178_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 3.78/3.83 ! [A_101,B_58,C_29] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_101),B_58)),C_29) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_101),C_29)),hAPP_real_real(times_times_real(B_58),C_29)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_179_crossproduct__noteq,axiom, % 3.78/3.83 ! [C_2,D,A_2,B_2] : % 3.78/3.83 ( ( is_int(C_2) % 3.78/3.83 & is_int(D) % 3.78/3.83 & is_int(A_2) % 3.78/3.83 & is_int(B_2) ) % 3.78/3.83 => ( ( A_2 != B_2 % 3.78/3.83 & C_2 != D ) % 3.78/3.83 <=> hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_2),C_2)),hAPP_int_int(times_times_int(B_2),D)) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_2),D)),hAPP_int_int(times_times_int(B_2),C_2)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_180_crossproduct__noteq,axiom, % 3.78/3.83 ! [C_2,D,A_2,B_2] : % 3.78/3.83 ( ( A_2 != B_2 % 3.78/3.83 & C_2 != D ) % 3.78/3.83 <=> hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_2),C_2)),hAPP_nat_nat(times_times_nat(B_2),D)) != hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_2),D)),hAPP_nat_nat(times_times_nat(B_2),C_2)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_181_crossproduct__noteq,axiom, % 3.78/3.83 ! [C_2,D,A_2,B_2] : % 3.78/3.83 ( ( A_2 != B_2 % 3.78/3.83 & C_2 != D ) % 3.78/3.83 <=> hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_2),C_2)),hAPP_real_real(times_times_real(B_2),D)) != hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_2),D)),hAPP_real_real(times_times_real(B_2),C_2)) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_182_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 3.78/3.83 ! [X_21,Y_18,Z_9] : hAPP_int_int(times_times_int(X_21),hAPP_int_int(plus_plus_int(Y_18),Z_9)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_21),Y_18)),hAPP_int_int(times_times_int(X_21),Z_9)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_183_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 3.78/3.83 ! [X_21,Y_18,Z_9] : hAPP_nat_nat(times_times_nat(X_21),hAPP_nat_nat(plus_plus_nat(Y_18),Z_9)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(X_21),Y_18)),hAPP_nat_nat(times_times_nat(X_21),Z_9)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_184_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 3.78/3.83 ! [X_21,Y_18,Z_9] : hAPP_real_real(times_times_real(X_21),hAPP_real_real(plus_plus_real(Y_18),Z_9)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_21),Y_18)),hAPP_real_real(times_times_real(X_21),Z_9)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_185_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 3.78/3.83 ! [A_100] : % 3.78/3.83 ( is_int(A_100) % 3.78/3.83 => hAPP_int_int(times_times_int(A_100),one_one_int) = A_100 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_186_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 3.78/3.83 ! [A_100] : hAPP_nat_nat(times_times_nat(A_100),one_one_nat) = A_100 ). % 3.78/3.83 % 3.78/3.83 fof(fact_187_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 3.78/3.83 ! [A_100] : hAPP_real_real(times_times_real(A_100),one_one_real) = A_100 ). % 3.78/3.83 % 3.78/3.83 fof(fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 3.78/3.83 ! [A_99] : % 3.78/3.83 ( is_int(A_99) % 3.78/3.83 => hAPP_int_int(times_times_int(one_one_int),A_99) = A_99 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_189_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 3.78/3.83 ! [A_99] : hAPP_nat_nat(times_times_nat(one_one_nat),A_99) = A_99 ). % 3.78/3.83 % 3.78/3.83 fof(fact_190_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 3.78/3.83 ! [A_99] : hAPP_real_real(times_times_real(one_one_real),A_99) = A_99 ). % 3.78/3.83 % 3.78/3.83 fof(fact_191_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 3.78/3.83 ! [X_20,Y_17,Q_5] : hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(X_20),Y_17)),Q_5) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X_20),Q_5)),hAPP_nat_int(power_power_int(Y_17),Q_5)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_192_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 3.78/3.83 ! [X_20,Y_17,Q_5] : hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(X_20),Y_17)),Q_5) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X_20),Q_5)),hAPP_nat_real(power_power_real(Y_17),Q_5)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_193_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 3.78/3.83 ! [X_20,Y_17,Q_5] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(X_20),Y_17)),Q_5) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X_20),Q_5)),hAPP_nat_nat(power_power_nat(Y_17),Q_5)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_194_rel__simps_I46_J,axiom, % 3.78/3.83 ! [K_1] : bit1(K_1) != pls ). % 3.78/3.83 % 3.78/3.83 fof(fact_195_rel__simps_I39_J,axiom, % 3.78/3.83 ! [L] : pls != bit1(L) ). % 3.78/3.83 % 3.78/3.83 fof(fact_196_rel__simps_I50_J,axiom, % 3.78/3.83 ! [K_1,L] : bit1(K_1) != bit0(L) ). % 3.78/3.83 % 3.78/3.83 fof(fact_197_rel__simps_I49_J,axiom, % 3.78/3.83 ! [K_1,L] : bit0(K_1) != bit1(L) ). % 3.78/3.83 % 3.78/3.83 fof(fact_198_rel__simps_I44_J,axiom, % 3.78/3.83 ! [K] : % 3.78/3.83 ( is_int(K) % 3.78/3.83 => ( bit0(K) = pls % 3.78/3.83 <=> K = pls ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_199_rel__simps_I38_J,axiom, % 3.78/3.83 ! [L_1] : % 3.78/3.83 ( is_int(L_1) % 3.78/3.83 => ( pls = bit0(L_1) % 3.78/3.83 <=> pls = L_1 ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_200_Bit0__Pls,axiom, % 3.78/3.83 bit0(pls) = pls ). % 3.78/3.83 % 3.78/3.83 fof(fact_201_mult__Pls,axiom, % 3.78/3.83 ! [W] : hAPP_int_int(times_times_int(pls),W) = pls ). % 3.78/3.83 % 3.78/3.83 fof(fact_202_mult__Bit0,axiom, % 3.78/3.83 ! [K_1,L] : hAPP_int_int(times_times_int(bit0(K_1)),L) = bit0(hAPP_int_int(times_times_int(K_1),L)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_203_add__Pls__right,axiom, % 3.78/3.83 ! [K_1] : % 3.78/3.83 ( is_int(K_1) % 3.78/3.83 => hAPP_int_int(plus_plus_int(K_1),pls) = K_1 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_204_add__Pls,axiom, % 3.78/3.83 ! [K_1] : % 3.78/3.83 ( is_int(K_1) % 3.78/3.83 => hAPP_int_int(plus_plus_int(pls),K_1) = K_1 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_205_add__Bit0__Bit0,axiom, % 3.78/3.83 ! [K_1,L] : hAPP_int_int(plus_plus_int(bit0(K_1)),bit0(L)) = bit0(hAPP_int_int(plus_plus_int(K_1),L)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_206_Bit0__def,axiom, % 3.78/3.83 ! [K_1] : bit0(K_1) = hAPP_int_int(plus_plus_int(K_1),K_1) ). % 3.78/3.83 % 3.78/3.83 fof(fact_207_zmult__1__right,axiom, % 3.78/3.83 ! [Z] : % 3.78/3.83 ( is_int(Z) % 3.78/3.83 => hAPP_int_int(times_times_int(Z),one_one_int) = Z ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_208_zmult__1,axiom, % 3.78/3.83 ! [Z] : % 3.78/3.83 ( is_int(Z) % 3.78/3.83 => hAPP_int_int(times_times_int(one_one_int),Z) = Z ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_209_times__numeral__code_I5_J,axiom, % 3.78/3.83 ! [V,W] : hAPP_int_int(times_times_int(number_number_of_int(V)),number_number_of_int(W)) = number_number_of_int(hAPP_int_int(times_times_int(V),W)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_210_zadd__zmult__distrib,axiom, % 3.78/3.83 ! [Z1,Z2,W] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(Z1),Z2)),W) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(Z1),W)),hAPP_int_int(times_times_int(Z2),W)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_211_zadd__zmult__distrib2,axiom, % 3.78/3.83 ! [W,Z1,Z2] : hAPP_int_int(times_times_int(W),hAPP_int_int(plus_plus_int(Z1),Z2)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(W),Z1)),hAPP_int_int(times_times_int(W),Z2)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_212_plus__numeral__code_I9_J,axiom, % 3.78/3.83 ! [V,W] : hAPP_int_int(plus_plus_int(number_number_of_int(V)),number_number_of_int(W)) = number_number_of_int(hAPP_int_int(plus_plus_int(V),W)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_213_semiring__mult__number__of,axiom, % 3.78/3.83 ! [V_20,V_19] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_19)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_20)) % 3.78/3.83 => hAPP_int_int(times_times_int(number_number_of_int(V_19)),number_number_of_int(V_20)) = number_number_of_int(hAPP_int_int(times_times_int(V_19),V_20)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_214_semiring__mult__number__of,axiom, % 3.78/3.83 ! [V_20,V_19] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_19)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_20)) % 3.78/3.83 => hAPP_nat_nat(times_times_nat(number_number_of_nat(V_19)),number_number_of_nat(V_20)) = number_number_of_nat(hAPP_int_int(times_times_int(V_19),V_20)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_215_semiring__mult__number__of,axiom, % 3.78/3.83 ! [V_20,V_19] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_19)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_20)) % 3.78/3.83 => hAPP_real_real(times_times_real(number267125858f_real(V_19)),number267125858f_real(V_20)) = number267125858f_real(hAPP_int_int(times_times_int(V_19),V_20)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_216_semiring__add__number__of,axiom, % 3.78/3.83 ! [V_18,V_17] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_17)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_18)) % 3.78/3.83 => hAPP_int_int(plus_plus_int(number_number_of_int(V_17)),number_number_of_int(V_18)) = number_number_of_int(hAPP_int_int(plus_plus_int(V_17),V_18)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_217_semiring__add__number__of,axiom, % 3.78/3.83 ! [V_18,V_17] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_17)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_18)) % 3.78/3.83 => hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_17)),number_number_of_nat(V_18)) = number_number_of_nat(hAPP_int_int(plus_plus_int(V_17),V_18)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_218_semiring__add__number__of,axiom, % 3.78/3.83 ! [V_18,V_17] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_17)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),V_18)) % 3.78/3.83 => hAPP_real_real(plus_plus_real(number267125858f_real(V_17)),number267125858f_real(V_18)) = number267125858f_real(hAPP_int_int(plus_plus_int(V_17),V_18)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_219_power2__ge__self,axiom, % 3.78/3.83 ! [X_1] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_1),hAPP_nat_int(power_power_int(X_1),number_number_of_nat(bit0(bit1(pls)))))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_220_left__distrib__number__of,axiom, % 3.78/3.83 ! [A_98,B_57,V_16] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_98),B_57)),number_number_of_int(V_16)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_98),number_number_of_int(V_16))),hAPP_int_int(times_times_int(B_57),number_number_of_int(V_16))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_221_left__distrib__number__of,axiom, % 3.78/3.83 ! [A_98,B_57,V_16] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_98),B_57)),number_number_of_nat(V_16)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_98),number_number_of_nat(V_16))),hAPP_nat_nat(times_times_nat(B_57),number_number_of_nat(V_16))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_222_left__distrib__number__of,axiom, % 3.78/3.83 ! [A_98,B_57,V_16] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_98),B_57)),number267125858f_real(V_16)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_98),number267125858f_real(V_16))),hAPP_real_real(times_times_real(B_57),number267125858f_real(V_16))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_223_right__distrib__number__of,axiom, % 3.78/3.83 ! [V_15,B_56,C_28] : hAPP_int_int(times_times_int(number_number_of_int(V_15)),hAPP_int_int(plus_plus_int(B_56),C_28)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(V_15)),B_56)),hAPP_int_int(times_times_int(number_number_of_int(V_15)),C_28)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_224_right__distrib__number__of,axiom, % 3.78/3.83 ! [V_15,B_56,C_28] : hAPP_nat_nat(times_times_nat(number_number_of_nat(V_15)),hAPP_nat_nat(plus_plus_nat(B_56),C_28)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(number_number_of_nat(V_15)),B_56)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_15)),C_28)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_225_right__distrib__number__of,axiom, % 3.78/3.83 ! [V_15,B_56,C_28] : hAPP_real_real(times_times_real(number267125858f_real(V_15)),hAPP_real_real(plus_plus_real(B_56),C_28)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(number267125858f_real(V_15)),B_56)),hAPP_real_real(times_times_real(number267125858f_real(V_15)),C_28)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_226_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 3.78/3.83 ! [A_97,M_12] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_97),M_12)),M_12) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_97),one_one_int)),M_12) ). % 3.78/3.83 % 3.78/3.83 fof(fact_227_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 3.78/3.83 ! [A_97,M_12] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_97),M_12)),M_12) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_97),one_one_nat)),M_12) ). % 3.78/3.83 % 3.78/3.83 fof(fact_228_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 3.78/3.83 ! [A_97,M_12] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_97),M_12)),M_12) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_97),one_one_real)),M_12) ). % 3.78/3.83 % 3.78/3.83 fof(fact_229_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 3.78/3.83 ! [M_11,A_96] : hAPP_int_int(plus_plus_int(M_11),hAPP_int_int(times_times_int(A_96),M_11)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_96),one_one_int)),M_11) ). % 3.78/3.83 % 3.78/3.83 fof(fact_230_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 3.78/3.83 ! [M_11,A_96] : hAPP_nat_nat(plus_plus_nat(M_11),hAPP_nat_nat(times_times_nat(A_96),M_11)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_96),one_one_nat)),M_11) ). % 3.78/3.83 % 3.78/3.83 fof(fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 3.78/3.83 ! [M_11,A_96] : hAPP_real_real(plus_plus_real(M_11),hAPP_real_real(times_times_real(A_96),M_11)) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_96),one_one_real)),M_11) ). % 3.78/3.83 % 3.78/3.83 fof(fact_232_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 3.78/3.83 ! [M_10] : hAPP_int_int(plus_plus_int(M_10),M_10) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),M_10) ). % 3.78/3.83 % 3.78/3.83 fof(fact_233_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 3.78/3.83 ! [M_10] : hAPP_nat_nat(plus_plus_nat(M_10),M_10) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)),M_10) ). % 3.78/3.83 % 3.78/3.83 fof(fact_234_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 3.78/3.83 ! [M_10] : hAPP_real_real(plus_plus_real(M_10),M_10) = hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),M_10) ). % 3.78/3.83 % 3.78/3.83 fof(fact_235_add__numeral__0,axiom, % 3.78/3.83 ! [A_95] : % 3.78/3.83 ( is_int(A_95) % 3.78/3.83 => hAPP_int_int(plus_plus_int(number_number_of_int(pls)),A_95) = A_95 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_236_add__numeral__0,axiom, % 3.78/3.83 ! [A_95] : hAPP_real_real(plus_plus_real(number267125858f_real(pls)),A_95) = A_95 ). % 3.78/3.83 % 3.78/3.83 fof(fact_237_add__numeral__0__right,axiom, % 3.78/3.83 ! [A_94] : % 3.78/3.83 ( is_int(A_94) % 3.78/3.83 => hAPP_int_int(plus_plus_int(A_94),number_number_of_int(pls)) = A_94 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_238_add__numeral__0__right,axiom, % 3.78/3.83 ! [A_94] : hAPP_real_real(plus_plus_real(A_94),number267125858f_real(pls)) = A_94 ). % 3.78/3.83 % 3.78/3.83 fof(fact_239_mult__number__of__left,axiom, % 3.78/3.83 ! [V_14,W_13,Z_8] : hAPP_int_int(times_times_int(number_number_of_int(V_14)),hAPP_int_int(times_times_int(number_number_of_int(W_13)),Z_8)) = hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(times_times_int(V_14),W_13))),Z_8) ). % 3.78/3.83 % 3.78/3.83 fof(fact_240_mult__number__of__left,axiom, % 3.78/3.83 ! [V_14,W_13,Z_8] : hAPP_real_real(times_times_real(number267125858f_real(V_14)),hAPP_real_real(times_times_real(number267125858f_real(W_13)),Z_8)) = hAPP_real_real(times_times_real(number267125858f_real(hAPP_int_int(times_times_int(V_14),W_13))),Z_8) ). % 3.78/3.83 % 3.78/3.83 fof(fact_241_arith__simps_I32_J,axiom, % 3.78/3.83 ! [V_13,W_12] : hAPP_int_int(times_times_int(number_number_of_int(V_13)),number_number_of_int(W_12)) = number_number_of_int(hAPP_int_int(times_times_int(V_13),W_12)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_242_arith__simps_I32_J,axiom, % 3.78/3.83 ! [V_13,W_12] : hAPP_real_real(times_times_real(number267125858f_real(V_13)),number267125858f_real(W_12)) = number267125858f_real(hAPP_int_int(times_times_int(V_13),W_12)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_243_number__of__mult,axiom, % 3.78/3.83 ! [V_12,W_11] : number_number_of_int(hAPP_int_int(times_times_int(V_12),W_11)) = hAPP_int_int(times_times_int(number_number_of_int(V_12)),number_number_of_int(W_11)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_244_number__of__mult,axiom, % 3.78/3.83 ! [V_12,W_11] : number267125858f_real(hAPP_int_int(times_times_int(V_12),W_11)) = hAPP_real_real(times_times_real(number267125858f_real(V_12)),number267125858f_real(W_11)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_245_add__number__of__left,axiom, % 3.78/3.83 ! [V_11,W_10,Z_7] : hAPP_int_int(plus_plus_int(number_number_of_int(V_11)),hAPP_int_int(plus_plus_int(number_number_of_int(W_10)),Z_7)) = hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_11),W_10))),Z_7) ). % 3.78/3.83 % 3.78/3.83 fof(fact_246_add__number__of__left,axiom, % 3.78/3.83 ! [V_11,W_10,Z_7] : hAPP_real_real(plus_plus_real(number267125858f_real(V_11)),hAPP_real_real(plus_plus_real(number267125858f_real(W_10)),Z_7)) = hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_11),W_10))),Z_7) ). % 3.78/3.83 % 3.78/3.83 fof(fact_247_add__number__of__eq,axiom, % 3.78/3.83 ! [V_10,W_9] : hAPP_int_int(plus_plus_int(number_number_of_int(V_10)),number_number_of_int(W_9)) = number_number_of_int(hAPP_int_int(plus_plus_int(V_10),W_9)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_248_add__number__of__eq,axiom, % 3.78/3.83 ! [V_10,W_9] : hAPP_real_real(plus_plus_real(number267125858f_real(V_10)),number267125858f_real(W_9)) = number267125858f_real(hAPP_int_int(plus_plus_int(V_10),W_9)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_249_number__of__add,axiom, % 3.78/3.83 ! [V_9,W_8] : number_number_of_int(hAPP_int_int(plus_plus_int(V_9),W_8)) = hAPP_int_int(plus_plus_int(number_number_of_int(V_9)),number_number_of_int(W_8)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_250_number__of__add,axiom, % 3.78/3.83 ! [V_9,W_8] : number267125858f_real(hAPP_int_int(plus_plus_int(V_9),W_8)) = hAPP_real_real(plus_plus_real(number267125858f_real(V_9)),number267125858f_real(W_8)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_251_add__Bit1__Bit0,axiom, % 3.78/3.83 ! [K_1,L] : hAPP_int_int(plus_plus_int(bit1(K_1)),bit0(L)) = bit1(hAPP_int_int(plus_plus_int(K_1),L)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_252_add__Bit0__Bit1,axiom, % 3.78/3.83 ! [K_1,L] : hAPP_int_int(plus_plus_int(bit0(K_1)),bit1(L)) = bit1(hAPP_int_int(plus_plus_int(K_1),L)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_253_Bit1__def,axiom, % 3.78/3.83 ! [K_1] : bit1(K_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1) ). % 3.78/3.83 % 3.78/3.83 fof(fact_254_number__of__Bit1,axiom, % 3.78/3.83 ! [W_7] : number_number_of_int(bit1(W_7)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_7))),number_number_of_int(W_7)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_255_number__of__Bit1,axiom, % 3.78/3.83 ! [W_7] : number267125858f_real(bit1(W_7)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_7))),number267125858f_real(W_7)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_256_mult__numeral__1,axiom, % 3.78/3.83 ! [A_93] : % 3.78/3.83 ( is_int(A_93) % 3.78/3.83 => hAPP_int_int(times_times_int(number_number_of_int(bit1(pls))),A_93) = A_93 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_257_mult__numeral__1,axiom, % 3.78/3.83 ! [A_93] : hAPP_real_real(times_times_real(number267125858f_real(bit1(pls))),A_93) = A_93 ). % 3.78/3.83 % 3.78/3.83 fof(fact_258_mult__numeral__1__right,axiom, % 3.78/3.83 ! [A_92] : % 3.78/3.83 ( is_int(A_92) % 3.78/3.83 => hAPP_int_int(times_times_int(A_92),number_number_of_int(bit1(pls))) = A_92 ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_259_mult__numeral__1__right,axiom, % 3.78/3.83 ! [A_92] : hAPP_real_real(times_times_real(A_92),number267125858f_real(bit1(pls))) = A_92 ). % 3.78/3.83 % 3.78/3.83 fof(fact_260_semiring__numeral__1__eq__1,axiom, % 3.78/3.83 number_number_of_int(bit1(pls)) = one_one_int ). % 3.78/3.83 % 3.78/3.83 fof(fact_261_semiring__numeral__1__eq__1,axiom, % 3.78/3.83 number_number_of_nat(bit1(pls)) = one_one_nat ). % 3.78/3.83 % 3.78/3.83 fof(fact_262_semiring__numeral__1__eq__1,axiom, % 3.78/3.83 number267125858f_real(bit1(pls)) = one_one_real ). % 3.78/3.83 % 3.78/3.83 fof(fact_263_numeral__1__eq__1,axiom, % 3.78/3.83 number_number_of_int(bit1(pls)) = one_one_int ). % 3.78/3.83 % 3.78/3.83 fof(fact_264_numeral__1__eq__1,axiom, % 3.78/3.83 number267125858f_real(bit1(pls)) = one_one_real ). % 3.78/3.83 % 3.78/3.83 fof(fact_265_semiring__norm_I110_J,axiom, % 3.78/3.83 one_one_int = number_number_of_int(bit1(pls)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_266_semiring__norm_I110_J,axiom, % 3.78/3.83 one_one_real = number267125858f_real(bit1(pls)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_267_one__is__num__one,axiom, % 3.78/3.83 one_one_int = number_number_of_int(bit1(pls)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_268_mult__Bit1,axiom, % 3.78/3.83 ! [K_1,L] : hAPP_int_int(times_times_int(bit1(K_1)),L) = hAPP_int_int(plus_plus_int(bit0(hAPP_int_int(times_times_int(K_1),L))),L) ). % 3.78/3.83 % 3.78/3.83 fof(fact_269_double__number__of__Bit0,axiom, % 3.78/3.83 ! [W_6] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),number_number_of_int(W_6)) = number_number_of_int(bit0(W_6)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_270_double__number__of__Bit0,axiom, % 3.78/3.83 ! [W_6] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),number267125858f_real(W_6)) = number267125858f_real(bit0(W_6)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_271_power3__eq__cube,axiom, % 3.78/3.83 ! [A_91] : hAPP_nat_int(power_power_int(A_91),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(A_91),A_91)),A_91) ). % 3.78/3.83 % 3.78/3.83 fof(fact_272_power3__eq__cube,axiom, % 3.78/3.83 ! [A_91] : hAPP_nat_real(power_power_real(A_91),number_number_of_nat(bit1(bit1(pls)))) = hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(A_91),A_91)),A_91) ). % 3.78/3.83 % 3.78/3.83 fof(fact_273_power3__eq__cube,axiom, % 3.78/3.83 ! [A_91] : hAPP_nat_nat(power_power_nat(A_91),number_number_of_nat(bit1(bit1(pls)))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(A_91),A_91)),A_91) ). % 3.78/3.83 % 3.78/3.83 fof(fact_274_quartic__square__square,axiom, % 3.78/3.83 ! [X_1] : hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X_1),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(X_1),number_number_of_nat(bit0(bit0(bit1(pls))))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_275_semiring__mult__2,axiom, % 3.78/3.83 ! [Z_6] : hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),Z_6) = hAPP_int_int(plus_plus_int(Z_6),Z_6) ). % 3.78/3.83 % 3.78/3.83 fof(fact_276_semiring__mult__2,axiom, % 3.78/3.83 ! [Z_6] : hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),Z_6) = hAPP_nat_nat(plus_plus_nat(Z_6),Z_6) ). % 3.78/3.83 % 3.78/3.83 fof(fact_277_semiring__mult__2,axiom, % 3.78/3.83 ! [Z_6] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),Z_6) = hAPP_real_real(plus_plus_real(Z_6),Z_6) ). % 3.78/3.83 % 3.78/3.83 fof(fact_278_mult__2,axiom, % 3.78/3.83 ! [Z_5] : hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),Z_5) = hAPP_int_int(plus_plus_int(Z_5),Z_5) ). % 3.78/3.83 % 3.78/3.83 fof(fact_279_mult__2,axiom, % 3.78/3.83 ! [Z_5] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),Z_5) = hAPP_real_real(plus_plus_real(Z_5),Z_5) ). % 3.78/3.83 % 3.78/3.83 fof(fact_280_semiring__mult__2__right,axiom, % 3.78/3.83 ! [Z_4] : hAPP_int_int(times_times_int(Z_4),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(Z_4),Z_4) ). % 3.78/3.83 % 3.78/3.83 fof(fact_281_semiring__mult__2__right,axiom, % 3.78/3.83 ! [Z_4] : hAPP_nat_nat(times_times_nat(Z_4),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(plus_plus_nat(Z_4),Z_4) ). % 3.78/3.83 % 3.78/3.83 fof(fact_282_semiring__mult__2__right,axiom, % 3.78/3.83 ! [Z_4] : hAPP_real_real(times_times_real(Z_4),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(Z_4),Z_4) ). % 3.78/3.83 % 3.78/3.83 fof(fact_283_mult__2__right,axiom, % 3.78/3.83 ! [Z_3] : hAPP_int_int(times_times_int(Z_3),number_number_of_int(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(Z_3),Z_3) ). % 3.78/3.83 % 3.78/3.83 fof(fact_284_mult__2__right,axiom, % 3.78/3.83 ! [Z_3] : hAPP_real_real(times_times_real(Z_3),number267125858f_real(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(Z_3),Z_3) ). % 3.78/3.83 % 3.78/3.83 fof(fact_285_semiring__one__add__one__is__two,axiom, % 3.78/3.83 hAPP_int_int(plus_plus_int(one_one_int),one_one_int) = number_number_of_int(bit0(bit1(pls))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_286_semiring__one__add__one__is__two,axiom, % 3.78/3.83 hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_287_semiring__one__add__one__is__two,axiom, % 3.78/3.83 hAPP_real_real(plus_plus_real(one_one_real),one_one_real) = number267125858f_real(bit0(bit1(pls))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_288_p0,axiom, % 3.78/3.83 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_289__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096,axiom, % 3.78/3.83 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_290_prime__g__5,axiom, % 3.78/3.83 ! [P_1] : % 3.78/3.83 ( is_int(P_1) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.78/3.83 => ( P_1 != number_number_of_int(bit0(bit1(pls))) % 3.78/3.83 => ( P_1 != number_number_of_int(bit1(bit1(pls))) % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),P_1)) ) ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_291__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096,axiom, % 3.78/3.83 twoSqu1241645765sum2sq(product_Pair_int_int(s,one_one_int)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) ). % 3.78/3.83 % 3.78/3.83 fof(fact_292_real__sum__squared__expand,axiom, % 3.78/3.83 ! [X_1,Y_1] : hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(X_1),Y_1)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_1),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X_1)),Y_1)) ). % 3.78/3.83 % 3.78/3.83 fof(fact_293_four__x__squared,axiom, % 3.78/3.83 ! [X_1] : hAPP_real_real(times_times_real(number267125858f_real(bit0(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(X_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X_1)),number_number_of_nat(bit0(bit1(pls)))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_294_power__less__power__Suc,axiom, % 3.78/3.83 ! [N_38,A_90] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_90)) % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_90),N_38)),hAPP_int_int(times_times_int(A_90),hAPP_nat_int(power_power_int(A_90),N_38)))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_295_power__less__power__Suc,axiom, % 3.78/3.83 ! [N_38,A_90] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_90)) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_90),N_38)),hAPP_nat_nat(times_times_nat(A_90),hAPP_nat_nat(power_power_nat(A_90),N_38)))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_296_power__less__power__Suc,axiom, % 3.78/3.83 ! [N_38,A_90] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_90)) % 3.78/3.83 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_90),N_38)),hAPP_real_real(times_times_real(A_90),hAPP_nat_real(power_power_real(A_90),N_38)))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_297_power__gt1__lemma,axiom, % 3.78/3.83 ! [N_37,A_89] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_89)) % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(times_times_int(A_89),hAPP_nat_int(power_power_int(A_89),N_37)))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_298_power__gt1__lemma,axiom, % 3.78/3.83 ! [N_37,A_89] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_89)) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(times_times_nat(A_89),hAPP_nat_nat(power_power_nat(A_89),N_37)))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_299_power__gt1__lemma,axiom, % 3.78/3.83 ! [N_37,A_89] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_89)) % 3.78/3.83 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(times_times_real(A_89),hAPP_nat_real(power_power_real(A_89),N_37)))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_300_power__le__imp__le__exp,axiom, % 3.78/3.83 ! [M_9,N_36,A_88] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_88)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_88),M_9)),hAPP_nat_int(power_power_int(A_88),N_36))) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_9),N_36)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_301_power__le__imp__le__exp,axiom, % 3.78/3.83 ! [M_9,N_36,A_88] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_88)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_88),M_9)),hAPP_nat_nat(power_power_nat(A_88),N_36))) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_9),N_36)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_302_power__le__imp__le__exp,axiom, % 3.78/3.83 ! [M_9,N_36,A_88] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_88)) % 3.78/3.83 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_88),M_9)),hAPP_nat_real(power_power_real(A_88),N_36))) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_9),N_36)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_303_power__increasing__iff,axiom, % 3.78/3.83 ! [X_2,Y_2,B_2] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_2)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(B_2),X_2)),hAPP_nat_int(power_power_int(B_2),Y_2))) % 3.78/3.83 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_304_power__increasing__iff,axiom, % 3.78/3.83 ! [X_2,Y_2,B_2] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_2)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(B_2),X_2)),hAPP_nat_nat(power_power_nat(B_2),Y_2))) % 3.78/3.83 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_305_power__increasing__iff,axiom, % 3.78/3.83 ! [X_2,Y_2,B_2] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_2)) % 3.78/3.83 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(B_2),X_2)),hAPP_nat_real(power_power_real(B_2),Y_2))) % 3.78/3.83 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_2),Y_2)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_306__096_091s_A_094_A2_A_061_As1_A_094_A2_093_A_Imod_A4_A_K_Am_A_L_A1_J_096,axiom, % 3.78/3.83 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))))),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_307_s0p,axiom, % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),s)) % 3.78/3.83 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) % 3.78/3.83 & hBOOL(hAPP_int_bool(zcong(s1,s),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_308__096EX_B_As_O_A0_A_060_061_As_A_G_As_A_060_A4_A_K_Am_A_L_A1_A_G_A_091s1,axiom, % 3.78/3.83 ? [X] : % 3.78/3.83 ( is_int(X) % 3.78/3.83 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 3.78/3.83 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) % 3.78/3.83 & hBOOL(hAPP_int_bool(zcong(s1,X),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) % 3.78/3.83 & ! [Y] : % 3.78/3.83 ( is_int(Y) % 3.78/3.83 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y)) % 3.78/3.83 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) % 3.78/3.83 & hBOOL(hAPP_int_bool(zcong(s1,Y),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ) % 3.78/3.83 => Y = X ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_309__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, % 3.78/3.83 ~ ! [S_1] : % 3.78/3.83 ( is_int(S_1) % 3.78/3.83 => ~ ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),S_1)) % 3.78/3.83 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,S_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) % 3.78/3.83 & hBOOL(hAPP_int_bool(zcong(s1,S_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_310_s1,axiom, % 3.78/3.83 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ). % 3.78/3.83 % 3.78/3.83 fof(fact_311_power__eq__0__iff,axiom, % 3.78/3.83 ! [A_2,N] : % 3.78/3.83 ( is_int(A_2) % 3.78/3.83 => ( hAPP_nat_int(power_power_int(A_2),N) = zero_zero_int % 3.78/3.83 <=> ( A_2 = zero_zero_int % 3.78/3.83 & N != zero_zero_nat ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_312_power__eq__0__iff,axiom, % 3.78/3.83 ! [A_2,N] : % 3.78/3.83 ( hAPP_nat_nat(power_power_nat(A_2),N) = zero_zero_nat % 3.78/3.83 <=> ( A_2 = zero_zero_nat % 3.78/3.83 & N != zero_zero_nat ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_313_power__eq__0__iff,axiom, % 3.78/3.83 ! [A_2,N] : % 3.78/3.83 ( hAPP_nat_real(power_power_real(A_2),N) = zero_zero_real % 3.78/3.83 <=> ( A_2 = zero_zero_real % 3.78/3.83 & N != zero_zero_nat ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_314_le__imp__power__dvd,axiom, % 3.78/3.83 ! [A_87,M_8,N_35] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_8),N_35)) % 3.78/3.83 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(A_87),M_8)),hAPP_nat_real(power_power_real(A_87),N_35))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_315_le__imp__power__dvd,axiom, % 3.78/3.83 ! [A_87,M_8,N_35] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_8),N_35)) % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A_87),M_8)),hAPP_nat_int(power_power_int(A_87),N_35))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_316_le__imp__power__dvd,axiom, % 3.78/3.83 ! [A_87,M_8,N_35] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_8),N_35)) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A_87),M_8)),hAPP_nat_nat(power_power_nat(A_87),N_35))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_317_dvd__power__le,axiom, % 3.78/3.83 ! [N_34,M_7,X_19,Y_16] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_19),Y_16)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_34),M_7)) % 3.78/3.83 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X_19),N_34)),hAPP_nat_real(power_power_real(Y_16),M_7))) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_318_dvd__power__le,axiom, % 3.78/3.83 ! [N_34,M_7,X_19,Y_16] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_19),Y_16)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_34),M_7)) % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X_19),N_34)),hAPP_nat_int(power_power_int(Y_16),M_7))) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_319_dvd__power__le,axiom, % 3.78/3.83 ! [N_34,M_7,X_19,Y_16] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_19),Y_16)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_34),M_7)) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X_19),N_34)),hAPP_nat_nat(power_power_nat(Y_16),M_7))) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_320_power__le__dvd,axiom, % 3.78/3.83 ! [M_6,A_86,N_33,B_55] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(A_86),N_33)),B_55)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_6),N_33)) % 3.78/3.83 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(A_86),M_6)),B_55)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_321_power__le__dvd,axiom, % 3.78/3.83 ! [M_6,A_86,N_33,B_55] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A_86),N_33)),B_55)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_6),N_33)) % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A_86),M_6)),B_55)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_322_power__le__dvd,axiom, % 3.78/3.83 ! [M_6,A_86,N_33,B_55] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A_86),N_33)),B_55)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M_6),N_33)) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A_86),M_6)),B_55)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_323_power__eq__imp__eq__base,axiom, % 3.78/3.83 ! [A_85,N_32,B_54] : % 3.78/3.83 ( ( is_int(A_85) % 3.78/3.83 & is_int(B_54) ) % 3.78/3.83 => ( hAPP_nat_int(power_power_int(A_85),N_32) = hAPP_nat_int(power_power_int(B_54),N_32) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_85)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_54)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32)) % 3.78/3.83 => A_85 = B_54 ) ) ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_324_power__eq__imp__eq__base,axiom, % 3.78/3.83 ! [A_85,N_32,B_54] : % 3.78/3.83 ( hAPP_nat_nat(power_power_nat(A_85),N_32) = hAPP_nat_nat(power_power_nat(B_54),N_32) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_85)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_54)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32)) % 3.78/3.83 => A_85 = B_54 ) ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_325_power__eq__imp__eq__base,axiom, % 3.78/3.83 ! [A_85,N_32,B_54] : % 3.78/3.83 ( hAPP_nat_real(power_power_real(A_85),N_32) = hAPP_nat_real(power_power_real(B_54),N_32) % 3.78/3.83 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_85)) % 3.78/3.83 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_54)) % 3.78/3.83 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32)) % 3.78/3.83 => A_85 = B_54 ) ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_326_zdvd__not__zless,axiom, % 3.78/3.83 ! [N_1,M] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),N_1)) % 3.78/3.83 => ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M)) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_327_zdvd__antisym__nonneg,axiom, % 3.78/3.83 ! [N_1,M] : % 3.78/3.83 ( ( is_int(N_1) % 3.78/3.83 & is_int(M) ) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),M)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),N_1)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N_1)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M)) % 3.78/3.83 => M = N_1 ) ) ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_328_zdvd__mult__cancel,axiom, % 3.78/3.83 ! [K_1,M,N_1] : % 3.78/3.83 ( is_int(K_1) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(K_1),M)),hAPP_int_int(times_times_int(K_1),N_1))) % 3.78/3.83 => ( K_1 != zero_zero_int % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N_1)) ) ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_329_dvd__power__same,axiom, % 3.78/3.83 ! [N_31,X_18,Y_15] : % 3.78/3.83 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_18),Y_15)) % 3.78/3.83 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(power_power_real(X_18),N_31)),hAPP_nat_real(power_power_real(Y_15),N_31))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_330_dvd__power__same,axiom, % 3.78/3.83 ! [N_31,X_18,Y_15] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_18),Y_15)) % 3.78/3.83 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(X_18),N_31)),hAPP_nat_int(power_power_int(Y_15),N_31))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_331_dvd__power__same,axiom, % 3.78/3.83 ! [N_31,X_18,Y_15] : % 3.78/3.83 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_18),Y_15)) % 3.78/3.83 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X_18),N_31)),hAPP_nat_nat(power_power_nat(Y_15),N_31))) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_332_field__power__not__zero,axiom, % 3.78/3.83 ! [N_30,A_84] : % 3.78/3.83 ( is_int(A_84) % 3.78/3.83 => ( A_84 != zero_zero_int % 3.78/3.83 => hAPP_nat_int(power_power_int(A_84),N_30) != zero_zero_int ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_333_field__power__not__zero,axiom, % 3.78/3.83 ! [N_30,A_84] : % 3.78/3.83 ( A_84 != zero_zero_real % 3.78/3.83 => hAPP_nat_real(power_power_real(A_84),N_30) != zero_zero_real ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_334_power__0__left,axiom, % 3.78/3.83 ! [N_29] : % 3.78/3.83 ( ( N_29 = zero_zero_nat % 3.78/3.83 => hAPP_nat_int(power_power_int(zero_zero_int),N_29) = one_one_int ) % 3.78/3.83 & ( N_29 != zero_zero_nat % 3.78/3.83 => hAPP_nat_int(power_power_int(zero_zero_int),N_29) = zero_zero_int ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_335_power__0__left,axiom, % 3.78/3.83 ! [N_29] : % 3.78/3.83 ( ( N_29 = zero_zero_nat % 3.78/3.83 => hAPP_nat_nat(power_power_nat(zero_zero_nat),N_29) = one_one_nat ) % 3.78/3.83 & ( N_29 != zero_zero_nat % 3.78/3.83 => hAPP_nat_nat(power_power_nat(zero_zero_nat),N_29) = zero_zero_nat ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_336_power__0__left,axiom, % 3.78/3.83 ! [N_29] : % 3.78/3.83 ( ( N_29 = zero_zero_nat % 3.78/3.83 => hAPP_nat_real(power_power_real(zero_zero_real),N_29) = one_one_real ) % 3.78/3.83 & ( N_29 != zero_zero_nat % 3.78/3.83 => hAPP_nat_real(power_power_real(zero_zero_real),N_29) = zero_zero_real ) ) ). % 3.78/3.83 % 3.78/3.83 fof(fact_337_zdvd__imp__le,axiom, % 3.78/3.83 ! [Z,N_1] : % 3.78/3.83 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z),N_1)) % 3.78/3.83 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z),N_1)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_338_power__strict__mono,axiom, % 3.78/3.84 ! [N_28,A_83,B_53] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_83),B_53)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_83)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_28)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_83),N_28)),hAPP_nat_int(power_power_int(B_53),N_28))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_339_power__strict__mono,axiom, % 3.78/3.84 ! [N_28,A_83,B_53] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_83),B_53)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_83)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_28)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_83),N_28)),hAPP_nat_nat(power_power_nat(B_53),N_28))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_340_power__strict__mono,axiom, % 3.78/3.84 ! [N_28,A_83,B_53] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_83),B_53)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_83)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_28)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_83),N_28)),hAPP_nat_real(power_power_real(B_53),N_28))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_341_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 3.78/3.84 ! [A_82] : hAPP_int_int(times_times_int(zero_zero_int),A_82) = zero_zero_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_342_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 3.78/3.84 ! [A_82] : hAPP_nat_nat(times_times_nat(zero_zero_nat),A_82) = zero_zero_nat ). % 3.78/3.84 % 3.78/3.84 fof(fact_343_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 3.78/3.84 ! [A_82] : hAPP_real_real(times_times_real(zero_zero_real),A_82) = zero_zero_real ). % 3.78/3.84 % 3.78/3.84 fof(fact_344_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 3.78/3.84 ! [A_81] : hAPP_int_int(times_times_int(A_81),zero_zero_int) = zero_zero_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_345_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 3.78/3.84 ! [A_81] : hAPP_nat_nat(times_times_nat(A_81),zero_zero_nat) = zero_zero_nat ). % 3.78/3.84 % 3.78/3.84 fof(fact_346_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 3.78/3.84 ! [A_81] : hAPP_real_real(times_times_real(A_81),zero_zero_real) = zero_zero_real ). % 3.78/3.84 % 3.78/3.84 fof(fact_347_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 3.78/3.84 ! [A_80] : % 3.78/3.84 ( is_int(A_80) % 3.78/3.84 => hAPP_int_int(plus_plus_int(zero_zero_int),A_80) = A_80 ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_348_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 3.78/3.84 ! [A_80] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_80) = A_80 ). % 3.78/3.84 % 3.78/3.84 fof(fact_349_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 3.78/3.84 ! [A_80] : hAPP_real_real(plus_plus_real(zero_zero_real),A_80) = A_80 ). % 3.78/3.84 % 3.78/3.84 fof(fact_350_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 3.78/3.84 ! [A_79] : % 3.78/3.84 ( is_int(A_79) % 3.78/3.84 => hAPP_int_int(plus_plus_int(A_79),zero_zero_int) = A_79 ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_351_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 3.78/3.84 ! [A_79] : hAPP_nat_nat(plus_plus_nat(A_79),zero_zero_nat) = A_79 ). % 3.78/3.84 % 3.78/3.84 fof(fact_352_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 3.78/3.84 ! [A_79] : hAPP_real_real(plus_plus_real(A_79),zero_zero_real) = A_79 ). % 3.78/3.84 % 3.78/3.84 fof(fact_353_add__0__iff,axiom, % 3.78/3.84 ! [B_2,A_2] : % 3.78/3.84 ( ( is_int(B_2) % 3.78/3.84 & is_int(A_2) ) % 3.78/3.84 => ( B_2 = hAPP_int_int(plus_plus_int(B_2),A_2) % 3.78/3.84 <=> A_2 = zero_zero_int ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_354_add__0__iff,axiom, % 3.78/3.84 ! [B_2,A_2] : % 3.78/3.84 ( B_2 = hAPP_nat_nat(plus_plus_nat(B_2),A_2) % 3.78/3.84 <=> A_2 = zero_zero_nat ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_355_add__0__iff,axiom, % 3.78/3.84 ! [B_2,A_2] : % 3.78/3.84 ( B_2 = hAPP_real_real(plus_plus_real(B_2),A_2) % 3.78/3.84 <=> A_2 = zero_zero_real ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_356_double__eq__0__iff,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( is_int(A_2) % 3.78/3.84 => ( hAPP_int_int(plus_plus_int(A_2),A_2) = zero_zero_int % 3.78/3.84 <=> A_2 = zero_zero_int ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_357_double__eq__0__iff,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( hAPP_real_real(plus_plus_real(A_2),A_2) = zero_zero_real % 3.78/3.84 <=> A_2 = zero_zero_real ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_358_Pls__def,axiom, % 3.78/3.84 pls = zero_zero_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_359_int__0__neq__1,axiom, % 3.78/3.84 zero_zero_int != one_one_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_360_zadd__0,axiom, % 3.78/3.84 ! [Z] : % 3.78/3.84 ( is_int(Z) % 3.78/3.84 => hAPP_int_int(plus_plus_int(zero_zero_int),Z) = Z ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_361_zadd__0__right,axiom, % 3.78/3.84 ! [Z] : % 3.78/3.84 ( is_int(Z) % 3.78/3.84 => hAPP_int_int(plus_plus_int(Z),zero_zero_int) = Z ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_362_zero__le__power,axiom, % 3.78/3.84 ! [N_27,A_78] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_78)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(A_78),N_27))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_363_zero__le__power,axiom, % 3.78/3.84 ! [N_27,A_78] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_78)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_78),N_27))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_364_zero__le__power,axiom, % 3.78/3.84 ! [N_27,A_78] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_78)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(A_78),N_27))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_365_power__mono,axiom, % 3.78/3.84 ! [N_26,A_77,B_52] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_77),B_52)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_77)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_77),N_26)),hAPP_nat_int(power_power_int(B_52),N_26))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_366_power__mono,axiom, % 3.78/3.84 ! [N_26,A_77,B_52] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_77),B_52)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_77)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_77),N_26)),hAPP_nat_nat(power_power_nat(B_52),N_26))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_367_power__mono,axiom, % 3.78/3.84 ! [N_26,A_77,B_52] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_77),B_52)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_77)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_77),N_26)),hAPP_nat_real(power_power_real(B_52),N_26))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_368_zero__less__power,axiom, % 3.78/3.84 ! [N_25,A_76] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_76)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_76),N_25))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_369_zero__less__power,axiom, % 3.78/3.84 ! [N_25,A_76] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_76)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_76),N_25))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_370_zero__less__power,axiom, % 3.78/3.84 ! [N_25,A_76] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_76)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_76),N_25))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_371_zcong__zpower__zmult,axiom, % 3.78/3.84 ! [Z,X_1,Y_1,P_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X_1),Y_1),one_one_int),P_1)) % 3.78/3.84 => hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X_1),hAPP_nat_nat(times_times_nat(Y_1),Z)),one_one_int),P_1)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_372_zdvd__reduce,axiom, % 3.78/3.84 ! [K,N,Ma] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),hAPP_int_int(plus_plus_int(N),hAPP_int_int(times_times_int(K),Ma)))) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),N)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_373_zdvd__period,axiom, % 3.78/3.84 ! [C_2,X_2,Ta,A_2,D] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),D)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),hAPP_int_int(plus_plus_int(X_2),Ta))) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X_2),hAPP_int_int(times_times_int(C_2),D))),Ta))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_374_power__less__imp__less__base,axiom, % 3.78/3.84 ! [A_75,N_24,B_51] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_75),N_24)),hAPP_nat_int(power_power_int(B_51),N_24))) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_51)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_75),B_51)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_375_power__less__imp__less__base,axiom, % 3.78/3.84 ! [A_75,N_24,B_51] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_75),N_24)),hAPP_nat_nat(power_power_nat(B_51),N_24))) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_51)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_75),B_51)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_376_power__less__imp__less__base,axiom, % 3.78/3.84 ! [A_75,N_24,B_51] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_75),N_24)),hAPP_nat_real(power_power_real(B_51),N_24))) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_51)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_75),B_51)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_377_power__decreasing,axiom, % 3.78/3.84 ! [A_74,N_23,N_22] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_23),N_22)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_74)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_74),one_one_int)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_74),N_22)),hAPP_nat_int(power_power_int(A_74),N_23))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_378_power__decreasing,axiom, % 3.78/3.84 ! [A_74,N_23,N_22] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_23),N_22)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_74)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_74),one_one_nat)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_74),N_22)),hAPP_nat_nat(power_power_nat(A_74),N_23))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_379_power__decreasing,axiom, % 3.78/3.84 ! [A_74,N_23,N_22] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_23),N_22)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_74)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_74),one_one_real)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_74),N_22)),hAPP_nat_real(power_power_real(A_74),N_23))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_380_power__strict__decreasing,axiom, % 3.78/3.84 ! [A_73,N_21,N_20] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_21),N_20)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_73)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_73),one_one_int)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_73),N_20)),hAPP_nat_int(power_power_int(A_73),N_21))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_381_power__strict__decreasing,axiom, % 3.78/3.84 ! [A_73,N_21,N_20] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_21),N_20)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_73)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_73),one_one_nat)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_73),N_20)),hAPP_nat_nat(power_power_nat(A_73),N_21))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_382_power__strict__decreasing,axiom, % 3.78/3.84 ! [A_73,N_21,N_20] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_21),N_20)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_73)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_73),one_one_real)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_73),N_20)),hAPP_nat_real(power_power_real(A_73),N_21))) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_383_even__less__0__iff,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_2),A_2)),zero_zero_int)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),zero_zero_int)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_384_even__less__0__iff,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_2),A_2)),zero_zero_real)) % 3.78/3.84 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),zero_zero_real)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_385_sum__squares__eq__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( ( is_int(X_2) % 3.78/3.84 & is_int(Y_2) ) % 3.78/3.84 => ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_2),X_2)),hAPP_int_int(times_times_int(Y_2),Y_2)) = zero_zero_int % 3.78/3.84 <=> ( X_2 = zero_zero_int % 3.78/3.84 & Y_2 = zero_zero_int ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_386_sum__squares__eq__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_2),X_2)),hAPP_real_real(times_times_real(Y_2),Y_2)) = zero_zero_real % 3.78/3.84 <=> ( X_2 = zero_zero_real % 3.78/3.84 & Y_2 = zero_zero_real ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_387_add__scale__eq__noteq,axiom, % 3.78/3.84 ! [C_27,D_8,A_72,B_50,R_4] : % 3.78/3.84 ( ( is_int(C_27) % 3.78/3.84 & is_int(D_8) % 3.78/3.84 & is_int(R_4) ) % 3.78/3.84 => ( R_4 != zero_zero_int % 3.78/3.84 => ( ( A_72 = B_50 % 3.78/3.84 & C_27 != D_8 ) % 3.78/3.84 => hAPP_int_int(plus_plus_int(A_72),hAPP_int_int(times_times_int(R_4),C_27)) != hAPP_int_int(plus_plus_int(B_50),hAPP_int_int(times_times_int(R_4),D_8)) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_388_add__scale__eq__noteq,axiom, % 3.78/3.84 ! [C_27,D_8,A_72,B_50,R_4] : % 3.78/3.84 ( R_4 != zero_zero_nat % 3.78/3.84 => ( ( A_72 = B_50 % 3.78/3.84 & C_27 != D_8 ) % 3.78/3.84 => hAPP_nat_nat(plus_plus_nat(A_72),hAPP_nat_nat(times_times_nat(R_4),C_27)) != hAPP_nat_nat(plus_plus_nat(B_50),hAPP_nat_nat(times_times_nat(R_4),D_8)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_389_add__scale__eq__noteq,axiom, % 3.78/3.84 ! [C_27,D_8,A_72,B_50,R_4] : % 3.78/3.84 ( R_4 != zero_zero_real % 3.78/3.84 => ( ( A_72 = B_50 % 3.78/3.84 & C_27 != D_8 ) % 3.78/3.84 => hAPP_real_real(plus_plus_real(A_72),hAPP_real_real(times_times_real(R_4),C_27)) != hAPP_real_real(plus_plus_real(B_50),hAPP_real_real(times_times_real(R_4),D_8)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_390_zprime__zdvd__power,axiom, % 3.78/3.84 ! [A,N_1,P_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),hAPP_nat_int(power_power_int(A),N_1))) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),A)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_391_semiring__norm_I112_J,axiom, % 3.78/3.84 zero_zero_int = number_number_of_int(pls) ). % 3.78/3.84 % 3.78/3.84 fof(fact_392_semiring__norm_I112_J,axiom, % 3.78/3.84 zero_zero_real = number267125858f_real(pls) ). % 3.78/3.84 % 3.78/3.84 fof(fact_393_number__of__Pls,axiom, % 3.78/3.84 number_number_of_int(pls) = zero_zero_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_394_number__of__Pls,axiom, % 3.78/3.84 number267125858f_real(pls) = zero_zero_real ). % 3.78/3.84 % 3.78/3.84 fof(fact_395_semiring__numeral__0__eq__0,axiom, % 3.78/3.84 number_number_of_int(pls) = zero_zero_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_396_semiring__numeral__0__eq__0,axiom, % 3.78/3.84 number_number_of_nat(pls) = zero_zero_nat ). % 3.78/3.84 % 3.78/3.84 fof(fact_397_semiring__numeral__0__eq__0,axiom, % 3.78/3.84 number267125858f_real(pls) = zero_zero_real ). % 3.78/3.84 % 3.78/3.84 fof(fact_398_bin__less__0__simps_I4_J,axiom, % 3.78/3.84 ! [W_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(W_1)),zero_zero_int)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_399_bin__less__0__simps_I1_J,axiom, % 3.78/3.84 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_400_bin__less__0__simps_I3_J,axiom, % 3.78/3.84 ! [W_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(W_1)),zero_zero_int)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_401_zero__is__num__zero,axiom, % 3.78/3.84 zero_zero_int = number_number_of_int(pls) ). % 3.78/3.84 % 3.78/3.84 fof(fact_402_int__0__less__1,axiom, % 3.78/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_403_pos__zmult__pos,axiom, % 3.78/3.84 ! [B,A] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_404_zmult__zless__mono2,axiom, % 3.78/3.84 ! [K_1,I_1,J_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),J_1)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(K_1),I_1)),hAPP_int_int(times_times_int(K_1),J_1))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_405_odd__nonzero,axiom, % 3.78/3.84 ! [Z] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z)),Z) != zero_zero_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_406_power__Suc__less,axiom, % 3.78/3.84 ! [N_19,A_71] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_71)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_71),one_one_int)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_71),hAPP_nat_int(power_power_int(A_71),N_19))),hAPP_nat_int(power_power_int(A_71),N_19))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_407_power__Suc__less,axiom, % 3.78/3.84 ! [N_19,A_71] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_71)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_71),one_one_nat)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_71),hAPP_nat_nat(power_power_nat(A_71),N_19))),hAPP_nat_nat(power_power_nat(A_71),N_19))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_408_power__Suc__less,axiom, % 3.78/3.84 ! [N_19,A_71] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_71)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_71),one_one_real)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_71),hAPP_nat_real(power_power_real(A_71),N_19))),hAPP_nat_real(power_power_real(A_71),N_19))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_409_zprime__power__zdvd__cancel__left,axiom, % 3.78/3.84 ! [N_1,B,A,P_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.78/3.84 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),A)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_1),N_1)),hAPP_int_int(times_times_int(A),B))) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_1),N_1)),B)) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_410_zprime__power__zdvd__cancel__right,axiom, % 3.78/3.84 ! [N_1,A,B,P_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.78/3.84 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),B)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_1),N_1)),hAPP_int_int(times_times_int(A),B))) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(P_1),N_1)),A)) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_411_sum__squares__ge__zero,axiom, % 3.78/3.84 ! [X_17,Y_14] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_17),X_17)),hAPP_int_int(times_times_int(Y_14),Y_14)))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_412_sum__squares__ge__zero,axiom, % 3.78/3.84 ! [X_17,Y_14] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_17),X_17)),hAPP_real_real(times_times_real(Y_14),Y_14)))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_413_sum__squares__le__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( ( is_int(X_2) % 3.78/3.84 & is_int(Y_2) ) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_2),X_2)),hAPP_int_int(times_times_int(Y_2),Y_2))),zero_zero_int)) % 3.78/3.84 <=> ( X_2 = zero_zero_int % 3.78/3.84 & Y_2 = zero_zero_int ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_414_sum__squares__le__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_2),X_2)),hAPP_real_real(times_times_real(Y_2),Y_2))),zero_zero_real)) % 3.78/3.84 <=> ( X_2 = zero_zero_real % 3.78/3.84 & Y_2 = zero_zero_real ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_415_less__nat__number__of,axiom, % 3.78/3.84 ! [V_7,V_8] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(V_7)),number_number_of_nat(V_8))) % 3.78/3.84 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_7),V_8)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_8)) ) % 3.78/3.84 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_7),V_8)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_416_not__sum__squares__lt__zero,axiom, % 3.78/3.84 ! [X_16,Y_13] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_16),X_16)),hAPP_int_int(times_times_int(Y_13),Y_13))),zero_zero_int)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_417_not__sum__squares__lt__zero,axiom, % 3.78/3.84 ! [X_16,Y_13] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_16),X_16)),hAPP_real_real(times_times_real(Y_13),Y_13))),zero_zero_real)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_418_sum__squares__gt__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( ( is_int(X_2) % 3.78/3.84 & is_int(Y_2) ) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(X_2),X_2)),hAPP_int_int(times_times_int(Y_2),Y_2)))) % 3.78/3.84 <=> ( X_2 != zero_zero_int % 3.78/3.84 | Y_2 != zero_zero_int ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_419_sum__squares__gt__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_2),X_2)),hAPP_real_real(times_times_real(Y_2),Y_2)))) % 3.78/3.84 <=> ( X_2 != zero_zero_real % 3.78/3.84 | Y_2 != zero_zero_real ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_420_le__nat__number__of,axiom, % 3.78/3.84 ! [V_7,V_8] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(V_7)),number_number_of_nat(V_8))) % 3.78/3.84 <=> ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,V_7),V_8)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,V_7),pls)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_421_number__of__Bit0,axiom, % 3.78/3.84 ! [W_5] : number_number_of_int(bit0(W_5)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(W_5))),number_number_of_int(W_5)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_422_number__of__Bit0,axiom, % 3.78/3.84 ! [W_5] : number267125858f_real(bit0(W_5)) = hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(W_5))),number267125858f_real(W_5)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_423_power__one__right,axiom, % 3.78/3.84 ! [A_70] : % 3.78/3.84 ( is_int(A_70) % 3.78/3.84 => hAPP_nat_int(power_power_int(A_70),one_one_nat) = A_70 ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_424_power__one__right,axiom, % 3.78/3.84 ! [A_70] : hAPP_nat_real(power_power_real(A_70),one_one_nat) = A_70 ). % 3.78/3.84 % 3.78/3.84 fof(fact_425_power__one__right,axiom, % 3.78/3.84 ! [A_70] : hAPP_nat_nat(power_power_nat(A_70),one_one_nat) = A_70 ). % 3.78/3.84 % 3.78/3.84 fof(fact_426_int__one__le__iff__zero__less,axiom, % 3.78/3.84 ! [Z_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Z_1)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_427_pos__zmult__eq__1__iff,axiom, % 3.78/3.84 ! [N,Ma] : % 3.78/3.84 ( ( is_int(N) % 3.78/3.84 & is_int(Ma) ) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma)) % 3.78/3.84 => ( hAPP_int_int(times_times_int(Ma),N) = one_one_int % 3.78/3.84 <=> ( Ma = one_one_int % 3.78/3.84 & N = one_one_int ) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_428_odd__less__0,axiom, % 3.78/3.84 ! [Z_1] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_1)),Z_1)),zero_zero_int)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),zero_zero_int)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_429_less__special_I1_J,axiom, % 3.78/3.84 ! [Y_2] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Y_2))) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Y_2)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_430_less__special_I1_J,axiom, % 3.78/3.84 ! [Y_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Y_2))) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Y_2)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_431_less__special_I3_J,axiom, % 3.78/3.84 ! [X_2] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(X_2)),zero_zero_int)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),pls)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_432_less__special_I3_J,axiom, % 3.78/3.84 ! [X_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X_2)),zero_zero_real)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),pls)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_433_le__special_I1_J,axiom, % 3.78/3.84 ! [Y_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(Y_2))) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),Y_2)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_434_le__special_I1_J,axiom, % 3.78/3.84 ! [Y_2] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(Y_2))) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),Y_2)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_435_le__special_I3_J,axiom, % 3.78/3.84 ! [X_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X_2)),zero_zero_real)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_2),pls)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_436_le__special_I3_J,axiom, % 3.78/3.84 ! [X_2] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(X_2)),zero_zero_int)) % 3.78/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_2),pls)) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_437_le__imp__0__less,axiom, % 3.78/3.84 ! [Z] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Z)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),Z))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_438_zero__power2,axiom, % 3.78/3.84 hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real ). % 3.78/3.84 % 3.78/3.84 fof(fact_439_zero__power2,axiom, % 3.78/3.84 hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_nat ). % 3.78/3.84 % 3.78/3.84 fof(fact_440_zero__power2,axiom, % 3.78/3.84 hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_441_zero__eq__power2,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( hAPP_nat_real(power_power_real(A_2),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_real % 3.78/3.84 <=> A_2 = zero_zero_real ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_442_zero__eq__power2,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( is_int(A_2) % 3.78/3.84 => ( hAPP_nat_int(power_power_int(A_2),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int % 3.78/3.84 <=> A_2 = zero_zero_int ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_443_zero__le__power2,axiom, % 3.78/3.84 ! [A_69] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(A_69),number_number_of_nat(bit0(bit1(pls)))))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_444_zero__le__power2,axiom, % 3.78/3.84 ! [A_69] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(A_69),number_number_of_nat(bit0(bit1(pls)))))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_445_power2__le__imp__le,axiom, % 3.78/3.84 ! [X_15,Y_12] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X_15),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_12),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_12)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_15),Y_12)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_446_power2__le__imp__le,axiom, % 3.78/3.84 ! [X_15,Y_12] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X_15),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_12),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Y_12)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_15),Y_12)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_447_power2__le__imp__le,axiom, % 3.78/3.84 ! [X_15,Y_12] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X_15),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_12),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_12)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_15),Y_12)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_448_power2__eq__imp__eq,axiom, % 3.78/3.84 ! [X_14,Y_11] : % 3.78/3.84 ( hAPP_nat_real(power_power_real(X_14),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_real(power_power_real(Y_11),number_number_of_nat(bit0(bit1(pls)))) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X_14)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_11)) % 3.78/3.84 => X_14 = Y_11 ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_449_power2__eq__imp__eq,axiom, % 3.78/3.84 ! [X_14,Y_11] : % 3.78/3.84 ( hAPP_nat_nat(power_power_nat(X_14),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_nat(power_power_nat(Y_11),number_number_of_nat(bit0(bit1(pls)))) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X_14)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Y_11)) % 3.78/3.84 => X_14 = Y_11 ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_450_power2__eq__imp__eq,axiom, % 3.78/3.84 ! [X_14,Y_11] : % 3.78/3.84 ( ( is_int(X_14) % 3.78/3.84 & is_int(Y_11) ) % 3.78/3.84 => ( hAPP_nat_int(power_power_int(X_14),number_number_of_nat(bit0(bit1(pls)))) = hAPP_nat_int(power_power_int(Y_11),number_number_of_nat(bit0(bit1(pls)))) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_14)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_11)) % 3.78/3.84 => X_14 = Y_11 ) ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_451_power2__less__0,axiom, % 3.78/3.84 ! [A_68] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_68),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_452_power2__less__0,axiom, % 3.78/3.84 ! [A_68] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_68),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_453_zero__less__power2,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_2),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 <=> A_2 != zero_zero_real ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_454_zero__less__power2,axiom, % 3.78/3.84 ! [A_2] : % 3.78/3.84 ( is_int(A_2) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_2),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 <=> A_2 != zero_zero_int ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_455_sum__power2__eq__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_2),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real % 3.78/3.84 <=> ( X_2 = zero_zero_real % 3.78/3.84 & Y_2 = zero_zero_real ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_456_sum__power2__eq__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( ( is_int(X_2) % 3.78/3.84 & is_int(Y_2) ) % 3.78/3.84 => ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_2),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int % 3.78/3.84 <=> ( X_2 = zero_zero_int % 3.78/3.84 & Y_2 = zero_zero_int ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_457_power__commutes,axiom, % 3.78/3.84 ! [A_67,N_18] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(A_67),N_18)),A_67) = hAPP_nat_nat(times_times_nat(A_67),hAPP_nat_nat(power_power_nat(A_67),N_18)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_458_power__commutes,axiom, % 3.78/3.84 ! [A_67,N_18] : hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(A_67),N_18)),A_67) = hAPP_real_real(times_times_real(A_67),hAPP_nat_real(power_power_real(A_67),N_18)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_459_power__commutes,axiom, % 3.78/3.84 ! [A_67,N_18] : hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(A_67),N_18)),A_67) = hAPP_int_int(times_times_int(A_67),hAPP_nat_int(power_power_int(A_67),N_18)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_460_power__mult__distrib,axiom, % 3.78/3.84 ! [A_66,B_49,N_17] : hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(A_66),B_49)),N_17) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(A_66),N_17)),hAPP_nat_nat(power_power_nat(B_49),N_17)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_461_power__mult__distrib,axiom, % 3.78/3.84 ! [A_66,B_49,N_17] : hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(A_66),B_49)),N_17) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(A_66),N_17)),hAPP_nat_real(power_power_real(B_49),N_17)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_462_power__mult__distrib,axiom, % 3.78/3.84 ! [A_66,B_49,N_17] : hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(A_66),B_49)),N_17) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(A_66),N_17)),hAPP_nat_int(power_power_int(B_49),N_17)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_463_power__add,axiom, % 3.78/3.84 ! [A_65,M_5,N_16] : hAPP_nat_nat(power_power_nat(A_65),hAPP_nat_nat(plus_plus_nat(M_5),N_16)) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(A_65),M_5)),hAPP_nat_nat(power_power_nat(A_65),N_16)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_464_power__add,axiom, % 3.78/3.84 ! [A_65,M_5,N_16] : hAPP_nat_real(power_power_real(A_65),hAPP_nat_nat(plus_plus_nat(M_5),N_16)) = hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(A_65),M_5)),hAPP_nat_real(power_power_real(A_65),N_16)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_465_power__add,axiom, % 3.78/3.84 ! [A_65,M_5,N_16] : hAPP_nat_int(power_power_int(A_65),hAPP_nat_nat(plus_plus_nat(M_5),N_16)) = hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(A_65),M_5)),hAPP_nat_int(power_power_int(A_65),N_16)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_466_power__one,axiom, % 3.78/3.84 ! [N_15] : hAPP_nat_real(power_power_real(one_one_real),N_15) = one_one_real ). % 3.78/3.84 % 3.78/3.84 fof(fact_467_power__one,axiom, % 3.78/3.84 ! [N_15] : hAPP_nat_nat(power_power_nat(one_one_nat),N_15) = one_one_nat ). % 3.78/3.84 % 3.78/3.84 fof(fact_468_power__one,axiom, % 3.78/3.84 ! [N_15] : hAPP_nat_int(power_power_int(one_one_int),N_15) = one_one_int ). % 3.78/3.84 % 3.78/3.84 fof(fact_469_power__mult,axiom, % 3.78/3.84 ! [A_64,M_4,N_14] : hAPP_nat_nat(power_power_nat(A_64),hAPP_nat_nat(times_times_nat(M_4),N_14)) = hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(A_64),M_4)),N_14) ). % 3.78/3.84 % 3.78/3.84 fof(fact_470_power__mult,axiom, % 3.78/3.84 ! [A_64,M_4,N_14] : hAPP_nat_real(power_power_real(A_64),hAPP_nat_nat(times_times_nat(M_4),N_14)) = hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(A_64),M_4)),N_14) ). % 3.78/3.84 % 3.78/3.84 fof(fact_471_power__mult,axiom, % 3.78/3.84 ! [A_64,M_4,N_14] : hAPP_nat_int(power_power_int(A_64),hAPP_nat_nat(times_times_nat(M_4),N_14)) = hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(A_64),M_4)),N_14) ). % 3.78/3.84 % 3.78/3.84 fof(fact_472_power2__less__imp__less,axiom, % 3.78/3.84 ! [X_13,Y_10] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X_13),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_10),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),Y_10)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_13),Y_10)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_473_power2__less__imp__less,axiom, % 3.78/3.84 ! [X_13,Y_10] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X_13),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_10),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),Y_10)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_13),Y_10)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_474_power2__less__imp__less,axiom, % 3.78/3.84 ! [X_13,Y_10] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X_13),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_10),number_number_of_nat(bit0(bit1(pls)))))) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_10)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_13),Y_10)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_475_sum__power2__ge__zero,axiom, % 3.78/3.84 ! [X_12,Y_9] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_12),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_9),number_number_of_nat(bit0(bit1(pls))))))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_476_sum__power2__ge__zero,axiom, % 3.78/3.84 ! [X_12,Y_9] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_12),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_9),number_number_of_nat(bit0(bit1(pls))))))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_477_sum__power2__le__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_2),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) % 3.78/3.84 <=> ( X_2 = zero_zero_real % 3.78/3.84 & Y_2 = zero_zero_real ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_478_sum__power2__le__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( ( is_int(X_2) % 3.78/3.84 & is_int(Y_2) ) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_2),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)) % 3.78/3.84 <=> ( X_2 = zero_zero_int % 3.78/3.84 & Y_2 = zero_zero_int ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_479_not__sum__power2__lt__zero,axiom, % 3.78/3.84 ! [X_11,Y_8] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_8),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_480_not__sum__power2__lt__zero,axiom, % 3.78/3.84 ! [X_11,Y_8] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_8),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)) ). % 3.78/3.84 % 3.78/3.84 fof(fact_481_sum__power2__gt__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_2),number_number_of_nat(bit0(bit1(pls))))))) % 3.78/3.84 <=> ( X_2 != zero_zero_real % 3.78/3.84 | Y_2 != zero_zero_real ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_482_sum__power2__gt__zero__iff,axiom, % 3.78/3.84 ! [X_2,Y_2] : % 3.78/3.84 ( ( is_int(X_2) % 3.78/3.84 & is_int(Y_2) ) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_2),number_number_of_nat(bit0(bit1(pls))))))) % 3.78/3.84 <=> ( X_2 != zero_zero_int % 3.78/3.84 | Y_2 != zero_zero_int ) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_483_zero__le__even__power_H,axiom, % 3.78/3.84 ! [A_63,N_13] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(A_63),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_13)))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_484_zero__le__even__power_H,axiom, % 3.78/3.84 ! [A_63,N_13] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(A_63),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_13)))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_485_one__le__power,axiom, % 3.78/3.84 ! [N_12,A_62] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A_62)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(A_62),N_12))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_486_one__le__power,axiom, % 3.78/3.84 ! [N_12,A_62] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),A_62)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_62),N_12))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_487_one__le__power,axiom, % 3.78/3.84 ! [N_12,A_62] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),A_62)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_nat_int(power_power_int(A_62),N_12))) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_488_power__increasing,axiom, % 3.78/3.84 ! [A_61,N_11,N_10] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_11),N_10)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A_61)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_61),N_11)),hAPP_nat_real(power_power_real(A_61),N_10))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_489_power__increasing,axiom, % 3.78/3.84 ! [A_61,N_11,N_10] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_11),N_10)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),A_61)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(A_61),N_11)),hAPP_nat_nat(power_power_nat(A_61),N_10))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_490_power__increasing,axiom, % 3.78/3.84 ! [A_61,N_11,N_10] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_11),N_10)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),A_61)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_61),N_11)),hAPP_nat_int(power_power_int(A_61),N_10))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_491_power__inject__exp,axiom, % 3.78/3.84 ! [Ma,N,A_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_2)) % 3.78/3.84 => ( hAPP_nat_real(power_power_real(A_2),Ma) = hAPP_nat_real(power_power_real(A_2),N) % 3.78/3.84 <=> Ma = N ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_492_power__inject__exp,axiom, % 3.78/3.84 ! [Ma,N,A_2] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_2)) % 3.78/3.84 => ( hAPP_nat_nat(power_power_nat(A_2),Ma) = hAPP_nat_nat(power_power_nat(A_2),N) % 3.78/3.84 <=> Ma = N ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_493_power__inject__exp,axiom, % 3.78/3.84 ! [Ma,N,A_2] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2)) % 3.78/3.84 => ( hAPP_nat_int(power_power_int(A_2),Ma) = hAPP_nat_int(power_power_int(A_2),N) % 3.78/3.84 <=> Ma = N ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_494_power__strict__increasing__iff,axiom, % 3.78/3.84 ! [X_2,Y_2,B_2] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_2)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B_2),X_2)),hAPP_nat_real(power_power_real(B_2),Y_2))) % 3.78/3.84 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_495_power__strict__increasing__iff,axiom, % 3.78/3.84 ! [X_2,Y_2,B_2] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_2)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B_2),X_2)),hAPP_nat_nat(power_power_nat(B_2),Y_2))) % 3.78/3.84 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_496_power__strict__increasing__iff,axiom, % 3.78/3.84 ! [X_2,Y_2,B_2] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_2)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B_2),X_2)),hAPP_nat_int(power_power_int(B_2),Y_2))) % 3.78/3.84 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_497_power__less__imp__less__exp,axiom, % 3.78/3.84 ! [M_3,N_9,A_60] : % 3.78/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_60)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_60),M_3)),hAPP_nat_real(power_power_real(A_60),N_9))) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_3),N_9)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_498_power__less__imp__less__exp,axiom, % 3.78/3.84 ! [M_3,N_9,A_60] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_60)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_60),M_3)),hAPP_nat_nat(power_power_nat(A_60),N_9))) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_3),N_9)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_499_power__less__imp__less__exp,axiom, % 3.78/3.84 ! [M_3,N_9,A_60] : % 3.78/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_60)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_60),M_3)),hAPP_nat_int(power_power_int(A_60),N_9))) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_3),N_9)) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_500_power__strict__increasing,axiom, % 3.78/3.84 ! [A_59,N_8,N_7] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_8),N_7)) % 3.78/3.84 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_59)) % 3.78/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_59),N_8)),hAPP_nat_real(power_power_real(A_59),N_7))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_501_power__strict__increasing,axiom, % 3.78/3.84 ! [A_59,N_8,N_7] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_8),N_7)) % 3.78/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_59)) % 3.78/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_59),N_8)),hAPP_nat_nat(power_power_nat(A_59),N_7))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_502_power__strict__increasing,axiom, % 3.78/3.84 ! [A_59,N_8,N_7] : % 3.78/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_8),N_7)) % 3.78/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_59)) % 3.78/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_59),N_8)),hAPP_nat_int(power_power_int(A_59),N_7))) ) ) ). % 3.78/3.84 % 3.78/3.84 fof(fact_503_s,axiom, % 3.78/3.84 hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ). % 3.78/3.84 % 3.78/3.84 fof(fact_504_Euler_Oaux____1,axiom, % 3.78/3.84 ! [Y_1,X_1,P_1] : % 3.87/3.84 ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y_1),number_number_of_nat(bit0(bit1(pls)))),X_1),P_1)) % 3.87/3.84 => ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),Y_1)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_505_int__pos__lt__two__imp__zero__or__one,axiom, % 3.87/3.84 ! [X_1] : % 3.87/3.84 ( is_int(X_1) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),number_number_of_int(bit0(bit1(pls))))) % 3.87/3.84 => ( X_1 = zero_zero_int % 3.87/3.84 | X_1 = one_one_int ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_506_even__power__le__0__imp__0,axiom, % 3.87/3.84 ! [A_58,K_4] : % 3.87/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(A_58),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),K_4))),zero_zero_real)) % 3.87/3.84 => A_58 = zero_zero_real ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_507_even__power__le__0__imp__0,axiom, % 3.87/3.84 ! [A_58,K_4] : % 3.87/3.84 ( is_int(A_58) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(A_58),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),K_4))),zero_zero_int)) % 3.87/3.84 => A_58 = zero_zero_int ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_508_zprime__def,axiom, % 3.87/3.84 ! [P_3] : % 3.87/3.84 ( is_int(P_3) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zprime,P_3)) % 3.87/3.84 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_3)) % 3.87/3.84 & ! [M_2] : % 3.87/3.84 ( is_int(M_2) % 3.87/3.84 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),M_2)) % 3.87/3.84 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_2),P_3)) ) % 3.87/3.84 => ( M_2 = one_one_int % 3.87/3.84 | M_2 = P_3 ) ) ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_509_self__quotient__aux2,axiom, % 3.87/3.84 ! [R_1,Q_1,A] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.84 => ( A = hAPP_int_int(plus_plus_int(R_1),hAPP_int_int(times_times_int(A),Q_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),one_one_int)) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_510_self__quotient__aux1,axiom, % 3.87/3.84 ! [R_1,Q_1,A] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.84 => ( A = hAPP_int_int(plus_plus_int(R_1),hAPP_int_int(times_times_int(A),Q_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),A)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),Q_1)) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_511_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))) ). % 3.87/3.84 % 3.87/3.84 fof(fact_512__096_B_Bthesis_O_A_I_B_Bs1_O_A_091s1_A_094_A2_A_061_A_N1_093_A_Imod_A4_,axiom, % 3.87/3.84 ~ ! [S1] : % 3.87/3.84 ( is_int(S1) % 3.87/3.84 => ~ hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(S1),number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int))) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_513__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096,axiom, % 3.87/3.84 legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)) = one_one_int ). % 3.87/3.84 % 3.87/3.84 fof(fact_514_nat__zero__less__power__iff,axiom, % 3.87/3.84 ! [X_2,N] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X_2),N))) % 3.87/3.84 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_2)) % 3.87/3.84 | N = zero_zero_nat ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_515_zero__less__power__nat__eq,axiom, % 3.87/3.84 ! [X_2,N] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X_2),N))) % 3.87/3.84 <=> ( N = zero_zero_nat % 3.87/3.84 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_2)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_516_zero__less__power__nat__eq__number__of,axiom, % 3.87/3.84 ! [X_2,W_1] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X_2),number_number_of_nat(W_1)))) % 3.87/3.84 <=> ( number_number_of_nat(W_1) = zero_zero_nat % 3.87/3.84 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_2)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_517_nat__power__less__imp__less,axiom, % 3.87/3.84 ! [M,N_1,I_1] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I_1)) % 3.87/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(I_1),M)),hAPP_nat_nat(power_power_nat(I_1),N_1))) % 3.87/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_518_rel__simps_I47_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( is_int(K) % 3.87/3.84 => ( bit1(K) = min % 3.87/3.84 <=> K = min ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_519_rel__simps_I43_J,axiom, % 3.87/3.84 ! [L_1] : % 3.87/3.84 ( is_int(L_1) % 3.87/3.84 => ( min = bit1(L_1) % 3.87/3.84 <=> min = L_1 ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_520_Bit1__Min,axiom, % 3.87/3.84 bit1(min) = min ). % 3.87/3.84 % 3.87/3.84 fof(fact_521_rel__simps_I37_J,axiom, % 3.87/3.84 pls != min ). % 3.87/3.84 % 3.87/3.84 fof(fact_522_rel__simps_I40_J,axiom, % 3.87/3.84 min != pls ). % 3.87/3.84 % 3.87/3.84 fof(fact_523_rel__simps_I45_J,axiom, % 3.87/3.84 ! [K_1] : bit0(K_1) != min ). % 3.87/3.84 % 3.87/3.84 fof(fact_524_rel__simps_I42_J,axiom, % 3.87/3.84 ! [L] : min != bit0(L) ). % 3.87/3.84 % 3.87/3.84 fof(fact_525_rel__simps_I7_J,axiom, % 3.87/3.84 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_526_rel__simps_I24_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),min)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_527_not__real__square__gt__zero,axiom, % 3.87/3.84 ! [X_2] : % 3.87/3.84 ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X_2),X_2))) % 3.87/3.84 <=> X_2 = zero_zero_real ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_528_rel__simps_I13_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K)),min)) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),min)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_529_rel__simps_I9_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit1(K))) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_530_rel__simps_I3_J,axiom, % 3.87/3.84 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_531_rel__simps_I6_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_532_rel__simps_I8_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),bit0(K))) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_533_bin__less__0__simps_I2_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_534_rel__simps_I30_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(K)),min)) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),min)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_535_rel__simps_I26_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit1(K))) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),K)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_536_rel__simps_I20_J,axiom, % 3.87/3.84 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),min)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_537_rel__simps_I23_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),pls)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_538_rel__simps_I28_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(K)),min)) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),min)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_539_eq__number__of__Pls__Min,axiom, % 3.87/3.84 number_number_of_int(pls) != number_number_of_int(min) ). % 3.87/3.84 % 3.87/3.84 fof(fact_540_power__dvd__imp__le,axiom, % 3.87/3.84 ! [I_1,M,N_1] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(I_1),M)),hAPP_nat_nat(power_power_nat(I_1),N_1))) % 3.87/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),I_1)) % 3.87/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_541_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 3.87/3.84 ! [X_10] : hAPP_nat_real(power_power_real(X_10),zero_zero_nat) = one_one_real ). % 3.87/3.84 % 3.87/3.84 fof(fact_542_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 3.87/3.84 ! [X_10] : hAPP_nat_nat(power_power_nat(X_10),zero_zero_nat) = one_one_nat ). % 3.87/3.84 % 3.87/3.84 fof(fact_543_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 3.87/3.84 ! [X_10] : hAPP_nat_int(power_power_int(X_10),zero_zero_nat) = one_one_int ). % 3.87/3.84 % 3.87/3.84 fof(fact_544_power__0,axiom, % 3.87/3.84 ! [A_57] : hAPP_nat_real(power_power_real(A_57),zero_zero_nat) = one_one_real ). % 3.87/3.84 % 3.87/3.84 fof(fact_545_power__0,axiom, % 3.87/3.84 ! [A_57] : hAPP_nat_nat(power_power_nat(A_57),zero_zero_nat) = one_one_nat ). % 3.87/3.84 % 3.87/3.84 fof(fact_546_power__0,axiom, % 3.87/3.84 ! [A_57] : hAPP_nat_int(power_power_int(A_57),zero_zero_nat) = one_one_int ). % 3.87/3.84 % 3.87/3.84 fof(fact_547_nat__number__of__Pls,axiom, % 3.87/3.84 number_number_of_nat(pls) = zero_zero_nat ). % 3.87/3.84 % 3.87/3.84 fof(fact_548_semiring__norm_I113_J,axiom, % 3.87/3.84 zero_zero_nat = number_number_of_nat(pls) ). % 3.87/3.84 % 3.87/3.84 fof(fact_549_rel__simps_I25_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),bit0(K))) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_550_rel__simps_I11_J,axiom, % 3.87/3.84 ! [K] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K)),min)) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),min)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_551_pos__zmult__eq__1__iff__lemma,axiom, % 3.87/3.84 ! [M,N_1] : % 3.87/3.84 ( is_int(M) % 3.87/3.84 => ( hAPP_int_int(times_times_int(M),N_1) = one_one_int % 3.87/3.84 => ( M = one_one_int % 3.87/3.84 | M = number_number_of_int(min) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_552_zmult__eq__1__iff,axiom, % 3.87/3.84 ! [Ma,N] : % 3.87/3.84 ( ( is_int(Ma) % 3.87/3.84 & is_int(N) ) % 3.87/3.84 => ( hAPP_int_int(times_times_int(Ma),N) = one_one_int % 3.87/3.84 <=> ( ( Ma = one_one_int % 3.87/3.84 & N = one_one_int ) % 3.87/3.84 | ( Ma = number_number_of_int(min) % 3.87/3.84 & N = number_number_of_int(min) ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_553_one__less__power,axiom, % 3.87/3.84 ! [N_6,A_56] : % 3.87/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_56)) % 3.87/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_6)) % 3.87/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A_56),N_6))) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_554_one__less__power,axiom, % 3.87/3.84 ! [N_6,A_56] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_56)) % 3.87/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_6)) % 3.87/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_56),N_6))) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_555_one__less__power,axiom, % 3.87/3.84 ! [N_6,A_56] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_56)) % 3.87/3.84 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_6)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A_56),N_6))) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_556_dvd__power,axiom, % 3.87/3.84 ! [X_9,N_5] : % 3.87/3.84 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_5)) % 3.87/3.84 | X_9 = one_one_real ) % 3.87/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_9),hAPP_nat_real(power_power_real(X_9),N_5))) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_557_dvd__power,axiom, % 3.87/3.84 ! [X_9,N_5] : % 3.87/3.84 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_5)) % 3.87/3.84 | X_9 = one_one_nat ) % 3.87/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_9),hAPP_nat_nat(power_power_nat(X_9),N_5))) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_558_dvd__power,axiom, % 3.87/3.84 ! [X_9,N_5] : % 3.87/3.84 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_5)) % 3.87/3.84 | X_9 = one_one_int ) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_9),hAPP_nat_int(power_power_int(X_9),N_5))) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_559_less__0__number__of,axiom, % 3.87/3.84 ! [V_7] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(V_7))) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_7)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_560_eq__number__of__0,axiom, % 3.87/3.84 ! [V_7] : % 3.87/3.84 ( number_number_of_nat(V_7) = zero_zero_nat % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,V_7),pls)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_561_eq__0__number__of,axiom, % 3.87/3.84 ! [V_7] : % 3.87/3.84 ( zero_zero_nat = number_number_of_nat(V_7) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,V_7),pls)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_562_zcong__sym,axiom, % 3.87/3.84 ! [A_2,B_2,Ma] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),Ma)) % 3.87/3.84 <=> hBOOL(hAPP_int_bool(zcong(B_2,A_2),Ma)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_563_zcong__refl,axiom, % 3.87/3.84 ! [K_1,M] : hBOOL(hAPP_int_bool(zcong(K_1,K_1),M)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_564_zcong__trans,axiom, % 3.87/3.84 ! [C,A,B,M] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(B,C),M)) % 3.87/3.84 => hBOOL(hAPP_int_bool(zcong(A,C),M)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_565_pos2,axiom, % 3.87/3.84 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))) ). % 3.87/3.84 % 3.87/3.84 fof(fact_566_nat__number__of__mult__left,axiom, % 3.87/3.84 ! [V_6,K_1,V] : % 3.87/3.84 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.87/3.84 => hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_6)),K_1)) = zero_zero_nat ) % 3.87/3.84 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.87/3.84 => hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),hAPP_nat_nat(times_times_nat(number_number_of_nat(V_6)),K_1)) = hAPP_nat_nat(times_times_nat(number_number_of_nat(hAPP_int_int(times_times_int(V),V_6))),K_1) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_567_mult__nat__number__of,axiom, % 3.87/3.84 ! [V_6,V] : % 3.87/3.84 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.87/3.84 => hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),number_number_of_nat(V_6)) = zero_zero_nat ) % 3.87/3.84 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls)) % 3.87/3.84 => hAPP_nat_nat(times_times_nat(number_number_of_nat(V)),number_number_of_nat(V_6)) = number_number_of_nat(hAPP_int_int(times_times_int(V),V_6)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_568_order__le__neq__implies__less,axiom, % 3.87/3.84 ! [X_8,Y_7] : % 3.87/3.84 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_8),Y_7)) % 3.87/3.84 => ( X_8 != Y_7 % 3.87/3.84 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_8),Y_7)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_569_order__le__neq__implies__less,axiom, % 3.87/3.84 ! [X_8,Y_7] : % 3.87/3.84 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X_8),Y_7)) % 3.87/3.84 => ( X_8 != Y_7 % 3.87/3.84 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_8),Y_7)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_570_order__le__neq__implies__less,axiom, % 3.87/3.84 ! [X_8,Y_7] : % 3.87/3.84 ( ( is_int(X_8) % 3.87/3.84 & is_int(Y_7) ) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_8),Y_7)) % 3.87/3.84 => ( X_8 != Y_7 % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_8),Y_7)) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_571_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_572_Euler_Oaux2,axiom, % 3.87/3.84 ! [B,A,C] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)) % 3.87/3.84 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_573_IntPrimes_Ozcong__zero,axiom, % 3.87/3.84 ! [A_2,B_2] : % 3.87/3.84 ( ( is_int(A_2) % 3.87/3.84 & is_int(B_2) ) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),zero_zero_int)) % 3.87/3.84 <=> A_2 = B_2 ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_574_zcong__1,axiom, % 3.87/3.84 ! [A,B] : hBOOL(hAPP_int_bool(zcong(A,B),one_one_int)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_575_zcong__zmult,axiom, % 3.87/3.84 ! [C,D_5,A,B,M] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(C,D_5),M)) % 3.87/3.84 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),C),hAPP_int_int(times_times_int(B),D_5)),M)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_576_zcong__scalar2,axiom, % 3.87/3.84 ! [K_1,A,B,M] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.84 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(K_1),A),hAPP_int_int(times_times_int(K_1),B)),M)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_577_zcong__scalar,axiom, % 3.87/3.84 ! [K_1,A,B,M] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.84 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),K_1),hAPP_int_int(times_times_int(B),K_1)),M)) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_578_zcong__zmult__self,axiom, % 3.87/3.84 ! [A,M,B] : hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),M),hAPP_int_int(times_times_int(B),M)),M)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_579_zcong__zadd,axiom, % 3.87/3.84 ! [C,D_5,A,B,M] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(C,D_5),M)) % 3.87/3.84 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(A),C),hAPP_int_int(plus_plus_int(B),D_5)),M)) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_580_power__m1__even,axiom, % 3.87/3.84 ! [N_4] : hAPP_nat_real(power_power_real(number267125858f_real(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_4)) = one_one_real ). % 3.87/3.84 % 3.87/3.84 fof(fact_581_power__m1__even,axiom, % 3.87/3.84 ! [N_4] : hAPP_nat_int(power_power_int(number_number_of_int(min)),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_4)) = one_one_int ). % 3.87/3.84 % 3.87/3.84 fof(fact_582_power__eq__0__iff__number__of,axiom, % 3.87/3.84 ! [A_2,W_1] : % 3.87/3.84 ( hAPP_nat_real(power_power_real(A_2),number_number_of_nat(W_1)) = zero_zero_real % 3.87/3.84 <=> ( A_2 = zero_zero_real % 3.87/3.84 & number_number_of_nat(W_1) != zero_zero_nat ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_583_power__eq__0__iff__number__of,axiom, % 3.87/3.84 ! [A_2,W_1] : % 3.87/3.84 ( hAPP_nat_nat(power_power_nat(A_2),number_number_of_nat(W_1)) = zero_zero_nat % 3.87/3.84 <=> ( A_2 = zero_zero_nat % 3.87/3.84 & number_number_of_nat(W_1) != zero_zero_nat ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_584_power__eq__0__iff__number__of,axiom, % 3.87/3.84 ! [A_2,W_1] : % 3.87/3.84 ( is_int(A_2) % 3.87/3.84 => ( hAPP_nat_int(power_power_int(A_2),number_number_of_nat(W_1)) = zero_zero_int % 3.87/3.84 <=> ( A_2 = zero_zero_int % 3.87/3.84 & number_number_of_nat(W_1) != zero_zero_nat ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_585_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)) ). % 3.87/3.84 % 3.87/3.84 fof(fact_586_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 3.87/3.84 ! [Y_1,X_1] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_1)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(X_1),Y_1))) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_587_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 3.87/3.84 ! [Y_1,X_1] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_1)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(X_1),Y_1))) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_588_zcong__not,axiom, % 3.87/3.84 ! [B,M,A] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)) % 3.87/3.84 => ~ hBOOL(hAPP_int_bool(zcong(A,B),M)) ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_589_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 3.87/3.84 ! [N_1,X_1] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(X_1),N_1))) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_590_zcong__iff__lin,axiom, % 3.87/3.84 ! [A_2,B_2,Ma] : % 3.87/3.84 ( is_int(B_2) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),Ma)) % 3.87/3.84 <=> ? [K_2] : % 3.87/3.84 ( is_int(K_2) % 3.87/3.84 & B_2 = hAPP_int_int(plus_plus_int(A_2),hAPP_int_int(times_times_int(Ma),K_2)) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_591_power__0__left__number__of,axiom, % 3.87/3.84 ! [W_4] : % 3.87/3.84 ( ( number_number_of_nat(W_4) = zero_zero_nat % 3.87/3.84 => hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_4)) = one_one_real ) % 3.87/3.84 & ( number_number_of_nat(W_4) != zero_zero_nat % 3.87/3.84 => hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_4)) = zero_zero_real ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_592_power__0__left__number__of,axiom, % 3.87/3.84 ! [W_4] : % 3.87/3.84 ( ( number_number_of_nat(W_4) = zero_zero_nat % 3.87/3.84 => hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_4)) = one_one_nat ) % 3.87/3.84 & ( number_number_of_nat(W_4) != zero_zero_nat % 3.87/3.84 => hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_4)) = zero_zero_nat ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_593_power__0__left__number__of,axiom, % 3.87/3.84 ! [W_4] : % 3.87/3.84 ( ( number_number_of_nat(W_4) = zero_zero_nat % 3.87/3.84 => hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_4)) = one_one_int ) % 3.87/3.84 & ( number_number_of_nat(W_4) != zero_zero_nat % 3.87/3.84 => hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_4)) = zero_zero_int ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_594_zcong__zless__imp__eq,axiom, % 3.87/3.84 ! [B,M,A] : % 3.87/3.84 ( ( is_int(B) % 3.87/3.84 & is_int(A) ) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),M)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.84 => A = B ) ) ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_595_zcong__zless__0,axiom, % 3.87/3.84 ! [M,A] : % 3.87/3.84 ( is_int(A) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),M)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),M)) % 3.87/3.84 => A = zero_zero_int ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_596_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 3.87/3.84 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))) ). % 3.87/3.84 % 3.87/3.84 fof(fact_597_zdiv__mono2__neg__lemma,axiom, % 3.87/3.84 ! [B,Q_1,R_1,B_48,Q_4,R_3] : % 3.87/3.84 ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_48),Q_4)),R_3) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_48),Q_4)),R_3)),zero_zero_int)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_3)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_48)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_48),B)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_4),Q_1)) ) ) ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_598_unique__quotient__lemma__neg,axiom, % 3.87/3.84 ! [B,Q_4,R_3,Q_1,R_1] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_4)),R_3)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1))) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,R_1),zero_zero_int)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_3)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q_4)) ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_599_zdiv__mono2__lemma,axiom, % 3.87/3.84 ! [B,Q_1,R_1,B_48,Q_4,R_3] : % 3.87/3.84 ( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_48),Q_4)),R_3) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_48),Q_4)),R_3))) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_48)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_48)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_48),B)) % 3.87/3.84 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_1),Q_4)) ) ) ) ) ) ) ). % 3.87/3.84 % 3.87/3.84 fof(fact_600_unique__quotient__lemma,axiom, % 3.87/3.84 ! [B,Q_4,R_3,Q_1,R_1] : % 3.87/3.84 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_4)),R_3)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),Q_1)),R_1))) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_3)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B)) % 3.87/3.84 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_4),Q_1)) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_601_q__neg__lemma,axiom, % 3.87/3.85 ! [B_48,Q_4,R_3] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_48),Q_4)),R_3)),zero_zero_int)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_3)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_48)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Q_4),zero_zero_int)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_602_q__pos__lemma,axiom, % 3.87/3.85 ! [B_48,Q_4,R_3] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_48),Q_4)),R_3))) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_48)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_48)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Q_4)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_603_zprime__zdvd__zmult,axiom, % 3.87/3.85 ! [N_1,P_1,M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),M)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),hAPP_int_int(times_times_int(M),N_1))) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),M)) % 3.87/3.85 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),N_1)) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_604__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096,axiom, % 3.87/3.85 hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),number_number_of_int(min))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_605__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096,axiom, % 3.87/3.85 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min)))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_606_neg__one__power__eq__mod__m,axiom, % 3.87/3.85 ! [J_1,K_1,M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M)) % 3.87/3.85 => ( 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)) % 3.87/3.85 => 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) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_607_zcong__neg__1__impl__ne__1,axiom, % 3.87/3.85 ! [X_1,P_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(X_1,number_number_of_int(min)),P_1)) % 3.87/3.85 => ~ hBOOL(hAPP_int_bool(zcong(X_1,one_one_int),P_1)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_608_one__not__neg__one__mod__m,axiom, % 3.87/3.85 ! [M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M)) % 3.87/3.85 => ~ hBOOL(hAPP_int_bool(zcong(one_one_int,number_number_of_int(min)),M)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_609__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096,axiom, % 3.87/3.85 hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min)) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) ). % 3.87/3.85 % 3.87/3.85 fof(fact_610__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N,axiom, % 3.87/3.85 ( ~ hBOOL(hAPP_int_bool(quadRes(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),number_number_of_int(min))) % 3.87/3.85 => legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)) != one_one_int ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_611_Int2_Oaux1,axiom, % 3.87/3.85 ! [A,B,C] : % 3.87/3.85 ( is_int(A) % 3.87/3.85 => ( hAPP_int_int(minus_minus_int(A),B) = C % 3.87/3.85 => A = hAPP_int_int(plus_plus_int(C),B) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_612_number__of__diff,axiom, % 3.87/3.85 ! [V_5,W_3] : number267125858f_real(hAPP_int_int(minus_minus_int(V_5),W_3)) = hAPP_real_real(minus_minus_real(number267125858f_real(V_5)),number267125858f_real(W_3)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_613_number__of__diff,axiom, % 3.87/3.85 ! [V_5,W_3] : number_number_of_int(hAPP_int_int(minus_minus_int(V_5),W_3)) = hAPP_int_int(minus_minus_int(number_number_of_int(V_5)),number_number_of_int(W_3)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_614_diff__bin__simps_I1_J,axiom, % 3.87/3.85 ! [K_1] : % 3.87/3.85 ( is_int(K_1) % 3.87/3.85 => hAPP_int_int(minus_minus_int(K_1),pls) = K_1 ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_615_diff__bin__simps_I7_J,axiom, % 3.87/3.85 ! [K_1,L] : hAPP_int_int(minus_minus_int(bit0(K_1)),bit0(L)) = bit0(hAPP_int_int(minus_minus_int(K_1),L)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_616_zdiff__zmult__distrib2,axiom, % 3.87/3.85 ! [W,Z1,Z2] : hAPP_int_int(times_times_int(W),hAPP_int_int(minus_minus_int(Z1),Z2)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(W),Z1)),hAPP_int_int(times_times_int(W),Z2)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_617_zdiff__zmult__distrib,axiom, % 3.87/3.85 ! [Z1,Z2,W] : hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(Z1),Z2)),W) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(Z1),W)),hAPP_int_int(times_times_int(Z2),W)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_618_zcong__zdiff,axiom, % 3.87/3.85 ! [C,D_5,A,B,M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(C,D_5),M)) % 3.87/3.85 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(minus_minus_int(A),C),hAPP_int_int(minus_minus_int(B),D_5)),M)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_619_zdvd__zdiffD,axiom, % 3.87/3.85 ! [K_1,M,N_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(minus_minus_int(M),N_1))) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N_1)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_620_right__diff__distrib__number__of,axiom, % 3.87/3.85 ! [V_4,B_47,C_26] : hAPP_real_real(times_times_real(number267125858f_real(V_4)),hAPP_real_real(minus_minus_real(B_47),C_26)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(number267125858f_real(V_4)),B_47)),hAPP_real_real(times_times_real(number267125858f_real(V_4)),C_26)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_621_right__diff__distrib__number__of,axiom, % 3.87/3.85 ! [V_4,B_47,C_26] : hAPP_int_int(times_times_int(number_number_of_int(V_4)),hAPP_int_int(minus_minus_int(B_47),C_26)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(V_4)),B_47)),hAPP_int_int(times_times_int(number_number_of_int(V_4)),C_26)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_622_left__diff__distrib__number__of,axiom, % 3.87/3.85 ! [A_55,B_46,V_3] : hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A_55),B_46)),number267125858f_real(V_3)) = hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A_55),number267125858f_real(V_3))),hAPP_real_real(times_times_real(B_46),number267125858f_real(V_3))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_623_left__diff__distrib__number__of,axiom, % 3.87/3.85 ! [A_55,B_46,V_3] : hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A_55),B_46)),number_number_of_int(V_3)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(A_55),number_number_of_int(V_3))),hAPP_int_int(times_times_int(B_46),number_number_of_int(V_3))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_624_diff__bin__simps_I9_J,axiom, % 3.87/3.85 ! [K_1,L] : hAPP_int_int(minus_minus_int(bit1(K_1)),bit0(L)) = bit1(hAPP_int_int(minus_minus_int(K_1),L)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_625_diff__bin__simps_I10_J,axiom, % 3.87/3.85 ! [K_1,L] : hAPP_int_int(minus_minus_int(bit1(K_1)),bit1(L)) = bit0(hAPP_int_int(minus_minus_int(K_1),L)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_626_diff__bin__simps_I3_J,axiom, % 3.87/3.85 ! [L] : hAPP_int_int(minus_minus_int(pls),bit0(L)) = bit0(hAPP_int_int(minus_minus_int(pls),L)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_627_less__bin__lemma,axiom, % 3.87/3.85 ! [K,L_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L_1)) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(K),L_1)),zero_zero_int)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_628_xzgcda__linear__aux1,axiom, % 3.87/3.85 ! [A,R_1,B,M,C,D_5,N_1] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),hAPP_int_int(times_times_int(R_1),B))),M)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(C),hAPP_int_int(times_times_int(R_1),D_5))),N_1)) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),M)),hAPP_int_int(times_times_int(C),N_1))),hAPP_int_int(times_times_int(R_1),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),M)),hAPP_int_int(times_times_int(D_5),N_1)))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_629_zcong__def,axiom, % 3.87/3.85 ! [A_2,B_2,Ma] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),Ma)) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),hAPP_int_int(minus_minus_int(A_2),B_2))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_630_add__number__of__diff1,axiom, % 3.87/3.85 ! [V_2,W_2,C_25] : hAPP_real_real(plus_plus_real(number267125858f_real(V_2)),hAPP_real_real(minus_minus_real(number267125858f_real(W_2)),C_25)) = hAPP_real_real(minus_minus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_2),W_2))),C_25) ). % 3.87/3.85 % 3.87/3.85 fof(fact_631_add__number__of__diff1,axiom, % 3.87/3.85 ! [V_2,W_2,C_25] : hAPP_int_int(plus_plus_int(number_number_of_int(V_2)),hAPP_int_int(minus_minus_int(number_number_of_int(W_2)),C_25)) = hAPP_int_int(minus_minus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_2),W_2))),C_25) ). % 3.87/3.85 % 3.87/3.85 fof(fact_632_Euler_Oaux1,axiom, % 3.87/3.85 ! [A,X_1] : % 3.87/3.85 ( is_int(X_1) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),A)) % 3.87/3.85 => ( X_1 != hAPP_int_int(minus_minus_int(A),one_one_int) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),hAPP_int_int(minus_minus_int(A),one_one_int))) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_633_zle__diff1__eq,axiom, % 3.87/3.85 ! [W_1,Z_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,W_1),hAPP_int_int(minus_minus_int(Z_1),one_one_int))) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_1)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_634_diff__bin__simps_I4_J,axiom, % 3.87/3.85 ! [L] : hAPP_int_int(minus_minus_int(pls),bit1(L)) = bit1(hAPP_int_int(minus_minus_int(min),L)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_635_diff__bin__simps_I5_J,axiom, % 3.87/3.85 ! [L] : hAPP_int_int(minus_minus_int(min),bit0(L)) = bit1(hAPP_int_int(minus_minus_int(min),L)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_636_diff__bin__simps_I6_J,axiom, % 3.87/3.85 ! [L] : hAPP_int_int(minus_minus_int(min),bit1(L)) = bit0(hAPP_int_int(minus_minus_int(min),L)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_637_inv__not__p__minus__1__aux,axiom, % 3.87/3.85 ! [A_2,P_3] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A_2),hAPP_int_int(minus_minus_int(P_3),one_one_int)),one_one_int),P_3)) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(zcong(A_2,hAPP_int_int(minus_minus_int(P_3),one_one_int)),P_3)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_638_zcong__eq__trans,axiom, % 3.87/3.85 ! [D_5,C,A,B,M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.85 => ( B = C % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(C,D_5),M)) % 3.87/3.85 => hBOOL(hAPP_int_bool(zcong(A,D_5),M)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_639_mult__sum2sq,axiom, % 3.87/3.85 ! [A,B,P_1,Q_1] : hAPP_int_int(times_times_int(twoSqu1241645765sum2sq(product_Pair_int_int(A,B))),twoSqu1241645765sum2sq(product_Pair_int_int(P_1,Q_1))) = twoSqu1241645765sum2sq(product_Pair_int_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),P_1)),hAPP_int_int(times_times_int(B),Q_1)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(A),Q_1)),hAPP_int_int(times_times_int(B),P_1)))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_640_zcong__square,axiom, % 3.87/3.85 ! [A,P_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),A),one_one_int),P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(A,one_one_int),P_1)) % 3.87/3.85 | hBOOL(hAPP_int_bool(zcong(A,hAPP_int_int(minus_minus_int(P_1),one_one_int)),P_1)) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_641_zcong__square__zless,axiom, % 3.87/3.85 ! [A,P_1] : % 3.87/3.85 ( is_int(A) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),A),one_one_int),P_1)) % 3.87/3.85 => ( A = one_one_int % 3.87/3.85 | A = hAPP_int_int(minus_minus_int(P_1),one_one_int) ) ) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_642_zspecial__product,axiom, % 3.87/3.85 ! [A,B] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(minus_minus_int(A),B)) = hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_643_zcong__id,axiom, % 3.87/3.85 ! [M] : hBOOL(hAPP_int_bool(zcong(M,zero_zero_int),M)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_644_zcong__zmult__prop1,axiom, % 3.87/3.85 ! [C_2,D,A_2,B_2,Ma] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),Ma)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(C_2,hAPP_int_int(times_times_int(A_2),D)),Ma)) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(zcong(C_2,hAPP_int_int(times_times_int(B_2),D)),Ma)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_645_zcong__zmult__prop2,axiom, % 3.87/3.85 ! [C_2,D,A_2,B_2,Ma] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),Ma)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(C_2,hAPP_int_int(times_times_int(D),A_2)),Ma)) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(zcong(C_2,hAPP_int_int(times_times_int(D),B_2)),Ma)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_646_zcong__shift,axiom, % 3.87/3.85 ! [C,A,B,M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(A,B),M)) % 3.87/3.85 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(plus_plus_int(A),C),hAPP_int_int(plus_plus_int(B),C)),M)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_647_zcong__zpower,axiom, % 3.87/3.85 ! [Z,X_1,Y_1,M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(X_1,Y_1),M)) % 3.87/3.85 => hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(X_1),Z),hAPP_nat_int(power_power_int(Y_1),Z)),M)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_648_power2__diff,axiom, % 3.87/3.85 ! [X_7,Y_6] : hAPP_nat_real(power_power_real(hAPP_real_real(minus_minus_real(X_7),Y_6)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_6),number_number_of_nat(bit0(bit1(pls)))))),hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),X_7)),Y_6)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_649_power2__diff,axiom, % 3.87/3.85 ! [X_7,Y_6] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(X_7),Y_6)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_7),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_6),number_number_of_nat(bit0(bit1(pls)))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),X_7)),Y_6)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_650_zdiff__power2,axiom, % 3.87/3.85 ! [A,B] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(A),B)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),A)),B))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_651_zdiff__power3,axiom, % 3.87/3.85 ! [A,B] : hAPP_nat_int(power_power_int(hAPP_int_int(minus_minus_int(A),B)),number_number_of_nat(bit1(bit1(pls)))) = hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit1(bit1(pls))))),hAPP_int_int(times_times_int(hAPP_int_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))),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(bit1(bit1(pls)))),A)),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit1(bit1(pls))))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_652_zcong__less__eq,axiom, % 3.87/3.85 ! [M,Y_1,X_1] : % 3.87/3.85 ( ( is_int(Y_1) % 3.87/3.85 & is_int(X_1) ) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(X_1,Y_1),M)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),M)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),M)) % 3.87/3.85 => X_1 = Y_1 ) ) ) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_653_zcong__not__zero,axiom, % 3.87/3.85 ! [M,X_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),M)) % 3.87/3.85 => ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),M)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_654_zdvd__bounds,axiom, % 3.87/3.85 ! [N_1,M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,M),zero_zero_int)) % 3.87/3.85 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,N_1),M)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_655_zcong__eq__zdvd__prop,axiom, % 3.87/3.85 ! [X_2,P_3] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(X_2,zero_zero_int),P_3)) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),X_2)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_656_zcong__zero__equiv__div,axiom, % 3.87/3.85 ! [A_2,Ma] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zcong(A_2,zero_zero_int),Ma)) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),A_2)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_657_zprime__zdvd__zmult__better,axiom, % 3.87/3.85 ! [M,N_1,P_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),hAPP_int_int(times_times_int(M),N_1))) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),M)) % 3.87/3.85 | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),N_1)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_658_Int2_Ozcong__zero,axiom, % 3.87/3.85 ! [M,X_1] : % 3.87/3.85 ( is_int(X_1) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),M)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),M)) % 3.87/3.85 => X_1 = zero_zero_int ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_659_zpower__zdvd__prop1,axiom, % 3.87/3.85 ! [P_1,Y_1,N_1] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),Y_1)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),hAPP_nat_int(power_power_int(Y_1),N_1))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_660_neg__one__power,axiom, % 3.87/3.85 ! [N_1] : % 3.87/3.85 ( hAPP_nat_int(power_power_int(number_number_of_int(min)),N_1) = one_one_int % 3.87/3.85 | hAPP_nat_int(power_power_int(number_number_of_int(min)),N_1) = number_number_of_int(min) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_661_zcong__zmult__prop3,axiom, % 3.87/3.85 ! [Y_1,X_1,P_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.85 => ( ~ hBOOL(hAPP_int_bool(zcong(Y_1,zero_zero_int),P_1)) % 3.87/3.85 => ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X_1),Y_1),zero_zero_int),P_1)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_662_zcong__zprime__prod__zero,axiom, % 3.87/3.85 ! [B,A,P_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),B),zero_zero_int),P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_1)) % 3.87/3.85 | hBOOL(hAPP_int_bool(zcong(B,zero_zero_int),P_1)) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_663_zcong__zprime__prod__zero__contra,axiom, % 3.87/3.85 ! [B,A,P_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.85 => ( ( ~ hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_1)) % 3.87/3.85 & ~ hBOOL(hAPP_int_bool(zcong(B,zero_zero_int),P_1)) ) % 3.87/3.85 => ~ hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),B),zero_zero_int),P_1)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_664_zpower__zdvd__prop2,axiom, % 3.87/3.85 ! [Y_1,N_1,P_1] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),hAPP_nat_int(power_power_int(Y_1),N_1))) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_1),Y_1)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_665_Legendre__1mod4,axiom, % 3.87/3.85 ! [M] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(zprime,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),M)),one_one_int))) % 3.87/3.85 => legendre(number_number_of_int(min),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),M)),one_one_int)) = one_one_int ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_666_Legendre__def,axiom, % 3.87/3.85 ! [A,P_1] : % 3.87/3.85 ( ( hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_1)) % 3.87/3.85 => legendre(A,P_1) = zero_zero_int ) % 3.87/3.85 & ( ~ hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_1)) % 3.87/3.85 => ( ( hBOOL(hAPP_int_bool(quadRes(P_1),A)) % 3.87/3.85 => legendre(A,P_1) = one_one_int ) % 3.87/3.85 & ( ~ hBOOL(hAPP_int_bool(quadRes(P_1),A)) % 3.87/3.85 => legendre(A,P_1) = number_number_of_int(min) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_667_divides__cases,axiom, % 3.87/3.85 ! [N_1,M] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M)) % 3.87/3.85 => ( M = zero_zero_nat % 3.87/3.85 | M = N_1 % 3.87/3.85 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),N_1)),M)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_668_QuadRes__def,axiom, % 3.87/3.85 ! [Ma,X_2] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(quadRes(Ma),X_2)) % 3.87/3.85 <=> ? [Y] : % 3.87/3.85 ( is_int(Y) % 3.87/3.85 & hBOOL(hAPP_int_bool(zcong(hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls)))),X_2),Ma)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_669_realpow__two__sum__zero__iff,axiom, % 3.87/3.85 ! [X_2,Y_2] : % 3.87/3.85 ( hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_2),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_real % 3.87/3.85 <=> ( X_2 = zero_zero_real % 3.87/3.85 & Y_2 = zero_zero_real ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_670_convex__bound__lt,axiom, % 3.87/3.85 ! [V_1,U_2,Y_5,X_6,A_54] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_6),A_54)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_5),A_54)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),U_2)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),V_1)) % 3.87/3.85 => ( hAPP_real_real(plus_plus_real(U_2),V_1) = one_one_real % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(U_2),X_6)),hAPP_real_real(times_times_real(V_1),Y_5))),A_54)) ) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_671_convex__bound__lt,axiom, % 3.87/3.85 ! [V_1,U_2,Y_5,X_6,A_54] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_6),A_54)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_5),A_54)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),U_2)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),V_1)) % 3.87/3.85 => ( hAPP_int_int(plus_plus_int(U_2),V_1) = one_one_int % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(U_2),X_6)),hAPP_int_int(times_times_int(V_1),Y_5))),A_54)) ) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_672_dvd__0__right,axiom, % 3.87/3.85 ! [A_53] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_53),zero_zero_real)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_673_dvd__0__right,axiom, % 3.87/3.85 ! [A_53] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_53),zero_zero_nat)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_674_dvd__0__right,axiom, % 3.87/3.85 ! [A_53] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_53),zero_zero_int)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_675_real__le__eq__diff,axiom, % 3.87/3.85 ! [X_2,Y_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_2),Y_2)) % 3.87/3.85 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(minus_minus_real(X_2),Y_2)),zero_zero_real)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_676_linorder__neqE__linordered__idom,axiom, % 3.87/3.85 ! [X_5,Y_4] : % 3.87/3.85 ( X_5 != Y_4 % 3.87/3.85 => ( ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_5),Y_4)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_4),X_5)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_677_linorder__neqE__linordered__idom,axiom, % 3.87/3.85 ! [X_5,Y_4] : % 3.87/3.85 ( ( is_int(X_5) % 3.87/3.85 & is_int(Y_4) ) % 3.87/3.85 => ( X_5 != Y_4 % 3.87/3.85 => ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_5),Y_4)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_4),X_5)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_678_dvd__refl,axiom, % 3.87/3.85 ! [A_52] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_52),A_52)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_679_dvd__refl,axiom, % 3.87/3.85 ! [A_52] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_52),A_52)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_680_dvd__refl,axiom, % 3.87/3.85 ! [A_52] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_52),A_52)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_681_dvd__trans,axiom, % 3.87/3.85 ! [C_24,A_51,B_45] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_51),B_45)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_45),C_24)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_51),C_24)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_682_dvd__trans,axiom, % 3.87/3.85 ! [C_24,A_51,B_45] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_51),B_45)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_45),C_24)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_51),C_24)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_683_dvd__trans,axiom, % 3.87/3.85 ! [C_24,A_51,B_45] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_51),B_45)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_45),C_24)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_51),C_24)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_684_real__zero__not__eq__one,axiom, % 3.87/3.85 zero_zero_real != one_one_real ). % 3.87/3.85 % 3.87/3.85 fof(fact_685_less__eq__real__def,axiom, % 3.87/3.85 ! [X_2,Y_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_2),Y_2)) % 3.87/3.85 <=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2)) % 3.87/3.85 | X_2 = Y_2 ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_686_real__less__def,axiom, % 3.87/3.85 ! [X_2,Y_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2)) % 3.87/3.85 <=> ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_2),Y_2)) % 3.87/3.85 & X_2 != Y_2 ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_687_divides__antisym,axiom, % 3.87/3.85 ! [X_2,Y_2] : % 3.87/3.85 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.85 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) ) % 3.87/3.85 <=> X_2 = Y_2 ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_688_real__mult__assoc,axiom, % 3.87/3.85 ! [Z1,Z2,Z3] : hAPP_real_real(times_times_real(hAPP_real_real(times_times_real(Z1),Z2)),Z3) = hAPP_real_real(times_times_real(Z1),hAPP_real_real(times_times_real(Z2),Z3)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_689_real__mult__commute,axiom, % 3.87/3.85 ! [Z,W] : hAPP_real_real(times_times_real(Z),W) = hAPP_real_real(times_times_real(W),Z) ). % 3.87/3.85 % 3.87/3.85 fof(fact_690_real__mult__1,axiom, % 3.87/3.85 ! [Z] : hAPP_real_real(times_times_real(one_one_real),Z) = Z ). % 3.87/3.85 % 3.87/3.85 fof(fact_691_real__add__left__mono,axiom, % 3.87/3.85 ! [Z,X_1,Y_1] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_1),Y_1)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(Z),X_1)),hAPP_real_real(plus_plus_real(Z),Y_1))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_692_realpow__minus__mult,axiom, % 3.87/3.85 ! [X_4,N_3] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3)) % 3.87/3.85 => hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(X_4),hAPP_nat_nat(minus_minus_nat(N_3),one_one_nat))),X_4) = hAPP_nat_nat(power_power_nat(X_4),N_3) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_693_realpow__minus__mult,axiom, % 3.87/3.85 ! [X_4,N_3] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3)) % 3.87/3.85 => hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(X_4),hAPP_nat_nat(minus_minus_nat(N_3),one_one_nat))),X_4) = hAPP_nat_real(power_power_real(X_4),N_3) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_694_realpow__minus__mult,axiom, % 3.87/3.85 ! [X_4,N_3] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3)) % 3.87/3.85 => hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(X_4),hAPP_nat_nat(minus_minus_nat(N_3),one_one_nat))),X_4) = hAPP_nat_int(power_power_int(X_4),N_3) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_695_mult__eq__if,axiom, % 3.87/3.85 ! [N_1,M] : % 3.87/3.85 ( ( M = zero_zero_nat % 3.87/3.85 => hAPP_nat_nat(times_times_nat(M),N_1) = zero_zero_nat ) % 3.87/3.85 & ( M != zero_zero_nat % 3.87/3.85 => hAPP_nat_nat(times_times_nat(M),N_1) = hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(M),one_one_nat)),N_1)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_696_power__eq__if,axiom, % 3.87/3.85 ! [P_1,M] : % 3.87/3.85 ( ( M = zero_zero_nat % 3.87/3.85 => hAPP_nat_nat(power_power_nat(P_1),M) = one_one_nat ) % 3.87/3.85 & ( M != zero_zero_nat % 3.87/3.85 => hAPP_nat_nat(power_power_nat(P_1),M) = hAPP_nat_nat(times_times_nat(P_1),hAPP_nat_nat(power_power_nat(P_1),hAPP_nat_nat(minus_minus_nat(M),one_one_nat))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_697_diff__square,axiom, % 3.87/3.85 ! [X_1,Y_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(power_power_nat(X_1),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(X_1),Y_1)),hAPP_nat_nat(minus_minus_nat(X_1),Y_1)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_698_divisors__zero,axiom, % 3.87/3.85 ! [A_50,B_44] : % 3.87/3.85 ( hAPP_real_real(times_times_real(A_50),B_44) = zero_zero_real % 3.87/3.85 => ( A_50 = zero_zero_real % 3.87/3.85 | B_44 = zero_zero_real ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_699_divisors__zero,axiom, % 3.87/3.85 ! [A_50,B_44] : % 3.87/3.85 ( hAPP_nat_nat(times_times_nat(A_50),B_44) = zero_zero_nat % 3.87/3.85 => ( A_50 = zero_zero_nat % 3.87/3.85 | B_44 = zero_zero_nat ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_700_divisors__zero,axiom, % 3.87/3.85 ! [A_50,B_44] : % 3.87/3.85 ( ( is_int(A_50) % 3.87/3.85 & is_int(B_44) ) % 3.87/3.85 => ( hAPP_int_int(times_times_int(A_50),B_44) = zero_zero_int % 3.87/3.85 => ( A_50 = zero_zero_int % 3.87/3.85 | B_44 = zero_zero_int ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_701_no__zero__divisors,axiom, % 3.87/3.85 ! [B_43,A_49] : % 3.87/3.85 ( A_49 != zero_zero_real % 3.87/3.85 => ( B_43 != zero_zero_real % 3.87/3.85 => hAPP_real_real(times_times_real(A_49),B_43) != zero_zero_real ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_702_no__zero__divisors,axiom, % 3.87/3.85 ! [B_43,A_49] : % 3.87/3.85 ( A_49 != zero_zero_nat % 3.87/3.85 => ( B_43 != zero_zero_nat % 3.87/3.85 => hAPP_nat_nat(times_times_nat(A_49),B_43) != zero_zero_nat ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_703_no__zero__divisors,axiom, % 3.87/3.85 ! [B_43,A_49] : % 3.87/3.85 ( ( is_int(B_43) % 3.87/3.85 & is_int(A_49) ) % 3.87/3.85 => ( A_49 != zero_zero_int % 3.87/3.85 => ( B_43 != zero_zero_int % 3.87/3.85 => hAPP_int_int(times_times_int(A_49),B_43) != zero_zero_int ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_704_mult__eq__0__iff,axiom, % 3.87/3.85 ! [A_2,B_2] : % 3.87/3.85 ( hAPP_real_real(times_times_real(A_2),B_2) = zero_zero_real % 3.87/3.85 <=> ( A_2 = zero_zero_real % 3.87/3.85 | B_2 = zero_zero_real ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_705_mult__eq__0__iff,axiom, % 3.87/3.85 ! [A_2,B_2] : % 3.87/3.85 ( ( is_int(A_2) % 3.87/3.85 & is_int(B_2) ) % 3.87/3.85 => ( hAPP_int_int(times_times_int(A_2),B_2) = zero_zero_int % 3.87/3.85 <=> ( A_2 = zero_zero_int % 3.87/3.85 | B_2 = zero_zero_int ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_706_mult__zero__right,axiom, % 3.87/3.85 ! [A_48] : hAPP_real_real(times_times_real(A_48),zero_zero_real) = zero_zero_real ). % 3.87/3.85 % 3.87/3.85 fof(fact_707_mult__zero__right,axiom, % 3.87/3.85 ! [A_48] : hAPP_nat_nat(times_times_nat(A_48),zero_zero_nat) = zero_zero_nat ). % 3.87/3.85 % 3.87/3.85 fof(fact_708_mult__zero__right,axiom, % 3.87/3.85 ! [A_48] : hAPP_int_int(times_times_int(A_48),zero_zero_int) = zero_zero_int ). % 3.87/3.85 % 3.87/3.85 fof(fact_709_mult__zero__left,axiom, % 3.87/3.85 ! [A_47] : hAPP_real_real(times_times_real(zero_zero_real),A_47) = zero_zero_real ). % 3.87/3.85 % 3.87/3.85 fof(fact_710_mult__zero__left,axiom, % 3.87/3.85 ! [A_47] : hAPP_nat_nat(times_times_nat(zero_zero_nat),A_47) = zero_zero_nat ). % 3.87/3.85 % 3.87/3.85 fof(fact_711_mult__zero__left,axiom, % 3.87/3.85 ! [A_47] : hAPP_int_int(times_times_int(zero_zero_int),A_47) = zero_zero_int ). % 3.87/3.85 % 3.87/3.85 fof(fact_712_zero__neq__one,axiom, % 3.87/3.85 zero_zero_real != one_one_real ). % 3.87/3.85 % 3.87/3.85 fof(fact_713_zero__neq__one,axiom, % 3.87/3.85 zero_zero_nat != one_one_nat ). % 3.87/3.85 % 3.87/3.85 fof(fact_714_zero__neq__one,axiom, % 3.87/3.85 zero_zero_int != one_one_int ). % 3.87/3.85 % 3.87/3.85 fof(fact_715_one__neq__zero,axiom, % 3.87/3.85 one_one_real != zero_zero_real ). % 3.87/3.85 % 3.87/3.85 fof(fact_716_one__neq__zero,axiom, % 3.87/3.85 one_one_nat != zero_zero_nat ). % 3.87/3.85 % 3.87/3.85 fof(fact_717_one__neq__zero,axiom, % 3.87/3.85 one_one_int != zero_zero_int ). % 3.87/3.85 % 3.87/3.85 fof(fact_718_combine__common__factor,axiom, % 3.87/3.85 ! [A_46,E,B_42,C_23] : hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_46),E)),hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(B_42),E)),C_23)) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_46),B_42)),E)),C_23) ). % 3.87/3.85 % 3.87/3.85 fof(fact_719_combine__common__factor,axiom, % 3.87/3.85 ! [A_46,E,B_42,C_23] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_46),E)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B_42),E)),C_23)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_46),B_42)),E)),C_23) ). % 3.87/3.85 % 3.87/3.85 fof(fact_720_combine__common__factor,axiom, % 3.87/3.85 ! [A_46,E,B_42,C_23] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_46),E)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_42),E)),C_23)) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_46),B_42)),E)),C_23) ). % 3.87/3.85 % 3.87/3.85 fof(fact_721_comm__semiring__class_Odistrib,axiom, % 3.87/3.85 ! [A_45,B_41,C_22] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A_45),B_41)),C_22) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A_45),C_22)),hAPP_real_real(times_times_real(B_41),C_22)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_722_comm__semiring__class_Odistrib,axiom, % 3.87/3.85 ! [A_45,B_41,C_22] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A_45),B_41)),C_22) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A_45),C_22)),hAPP_nat_nat(times_times_nat(B_41),C_22)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_723_comm__semiring__class_Odistrib,axiom, % 3.87/3.85 ! [A_45,B_41,C_22] : hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A_45),B_41)),C_22) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A_45),C_22)),hAPP_int_int(times_times_int(B_41),C_22)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_724_dvd__0__left,axiom, % 3.87/3.85 ! [A_44] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),A_44)) % 3.87/3.85 => A_44 = zero_zero_real ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_725_dvd__0__left,axiom, % 3.87/3.85 ! [A_44] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_44)) % 3.87/3.85 => A_44 = zero_zero_nat ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_726_dvd__0__left,axiom, % 3.87/3.85 ! [A_44] : % 3.87/3.85 ( is_int(A_44) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,zero_zero_int),A_44)) % 3.87/3.85 => A_44 = zero_zero_int ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_727_add__diff__add,axiom, % 3.87/3.85 ! [A_43,C_21,B_40,D_7] : hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(A_43),C_21)),hAPP_real_real(plus_plus_real(B_40),D_7)) = hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(A_43),B_40)),hAPP_real_real(minus_minus_real(C_21),D_7)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_728_add__diff__add,axiom, % 3.87/3.85 ! [A_43,C_21,B_40,D_7] : hAPP_int_int(minus_minus_int(hAPP_int_int(plus_plus_int(A_43),C_21)),hAPP_int_int(plus_plus_int(B_40),D_7)) = hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(A_43),B_40)),hAPP_int_int(minus_minus_int(C_21),D_7)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_729_dvd__mult__right,axiom, % 3.87/3.85 ! [A_42,B_39,C_20] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(A_42),B_39)),C_20)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_39),C_20)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_730_dvd__mult__right,axiom, % 3.87/3.85 ! [A_42,B_39,C_20] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A_42),B_39)),C_20)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_39),C_20)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_731_dvd__mult__right,axiom, % 3.87/3.85 ! [A_42,B_39,C_20] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(A_42),B_39)),C_20)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_39),C_20)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_732_dvd__mult__left,axiom, % 3.87/3.85 ! [A_41,B_38,C_19] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(A_41),B_38)),C_19)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_41),C_19)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_733_dvd__mult__left,axiom, % 3.87/3.85 ! [A_41,B_38,C_19] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A_41),B_38)),C_19)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_41),C_19)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_734_dvd__mult__left,axiom, % 3.87/3.85 ! [A_41,B_38,C_19] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(A_41),B_38)),C_19)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_41),C_19)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_735_dvdI,axiom, % 3.87/3.85 ! [A_40,B_37,K_3] : % 3.87/3.85 ( A_40 = hAPP_real_real(times_times_real(B_37),K_3) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_37),A_40)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_736_dvdI,axiom, % 3.87/3.85 ! [A_40,B_37,K_3] : % 3.87/3.85 ( A_40 = hAPP_nat_nat(times_times_nat(B_37),K_3) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_37),A_40)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_737_dvdI,axiom, % 3.87/3.85 ! [A_40,B_37,K_3] : % 3.87/3.85 ( A_40 = hAPP_int_int(times_times_int(B_37),K_3) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_37),A_40)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_738_mult__dvd__mono,axiom, % 3.87/3.85 ! [C_18,D_6,A_39,B_36] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_39),B_36)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,C_18),D_6)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(times_times_real(A_39),C_18)),hAPP_real_real(times_times_real(B_36),D_6))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_739_mult__dvd__mono,axiom, % 3.87/3.85 ! [C_18,D_6,A_39,B_36] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_39),B_36)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_18),D_6)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A_39),C_18)),hAPP_nat_nat(times_times_nat(B_36),D_6))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_740_mult__dvd__mono,axiom, % 3.87/3.85 ! [C_18,D_6,A_39,B_36] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_39),B_36)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C_18),D_6)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(A_39),C_18)),hAPP_int_int(times_times_int(B_36),D_6))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_741_dvd__mult,axiom, % 3.87/3.85 ! [B_35,A_38,C_17] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_38),C_17)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_38),hAPP_real_real(times_times_real(B_35),C_17))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_742_dvd__mult,axiom, % 3.87/3.85 ! [B_35,A_38,C_17] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_38),C_17)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_38),hAPP_nat_nat(times_times_nat(B_35),C_17))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_743_dvd__mult,axiom, % 3.87/3.85 ! [B_35,A_38,C_17] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_38),C_17)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_38),hAPP_int_int(times_times_int(B_35),C_17))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_744_dvd__mult2,axiom, % 3.87/3.85 ! [C_16,A_37,B_34] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_37),B_34)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_37),hAPP_real_real(times_times_real(B_34),C_16))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_745_dvd__mult2,axiom, % 3.87/3.85 ! [C_16,A_37,B_34] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_37),B_34)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_37),hAPP_nat_nat(times_times_nat(B_34),C_16))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_746_dvd__mult2,axiom, % 3.87/3.85 ! [C_16,A_37,B_34] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_37),B_34)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_37),hAPP_int_int(times_times_int(B_34),C_16))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_747_dvd__triv__right,axiom, % 3.87/3.85 ! [A_36,B_33] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_36),hAPP_real_real(times_times_real(B_33),A_36))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_748_dvd__triv__right,axiom, % 3.87/3.85 ! [A_36,B_33] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_36),hAPP_nat_nat(times_times_nat(B_33),A_36))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_749_dvd__triv__right,axiom, % 3.87/3.85 ! [A_36,B_33] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_36),hAPP_int_int(times_times_int(B_33),A_36))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_750_dvd__triv__left,axiom, % 3.87/3.85 ! [A_35,B_32] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_35),hAPP_real_real(times_times_real(A_35),B_32))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_751_dvd__triv__left,axiom, % 3.87/3.85 ! [A_35,B_32] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_35),hAPP_nat_nat(times_times_nat(A_35),B_32))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_752_dvd__triv__left,axiom, % 3.87/3.85 ! [A_35,B_32] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_35),hAPP_int_int(times_times_int(A_35),B_32))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_753_dvd__add,axiom, % 3.87/3.85 ! [C_15,A_34,B_31] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_34),B_31)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_34),C_15)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_34),hAPP_real_real(plus_plus_real(B_31),C_15))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_754_dvd__add,axiom, % 3.87/3.85 ! [C_15,A_34,B_31] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_34),B_31)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_34),C_15)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_34),hAPP_nat_nat(plus_plus_nat(B_31),C_15))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_755_dvd__add,axiom, % 3.87/3.85 ! [C_15,A_34,B_31] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_34),B_31)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_34),C_15)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_34),hAPP_int_int(plus_plus_int(B_31),C_15))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_756_one__dvd,axiom, % 3.87/3.85 ! [A_33] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,one_one_real),A_33)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_757_one__dvd,axiom, % 3.87/3.85 ! [A_33] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_33)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_758_one__dvd,axiom, % 3.87/3.85 ! [A_33] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),A_33)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_759_dvd__diff,axiom, % 3.87/3.85 ! [Z_2,X_3,Y_3] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_3),Y_3)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_3),Z_2)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_3),hAPP_real_real(minus_minus_real(Y_3),Z_2))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_760_dvd__diff,axiom, % 3.87/3.85 ! [Z_2,X_3,Y_3] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_3),Y_3)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_3),Z_2)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_3),hAPP_int_int(minus_minus_int(Y_3),Z_2))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_761_real__mult__right__cancel,axiom, % 3.87/3.85 ! [A_2,B_2,C_2] : % 3.87/3.85 ( C_2 != zero_zero_real % 3.87/3.85 => ( hAPP_real_real(times_times_real(A_2),C_2) = hAPP_real_real(times_times_real(B_2),C_2) % 3.87/3.85 <=> A_2 = B_2 ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_762_real__mult__left__cancel,axiom, % 3.87/3.85 ! [A_2,B_2,C_2] : % 3.87/3.85 ( C_2 != zero_zero_real % 3.87/3.85 => ( hAPP_real_real(times_times_real(C_2),A_2) = hAPP_real_real(times_times_real(C_2),B_2) % 3.87/3.85 <=> A_2 = B_2 ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_763_divides__add__revr,axiom, % 3.87/3.85 ! [B,D_5,A] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_5),A)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_5),hAPP_nat_nat(plus_plus_nat(A),B))) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_5),B)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_764_divides__mul__l,axiom, % 3.87/3.85 ! [C,A,B] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_765_divides__mul__r,axiom, % 3.87/3.85 ! [C,A,B] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_766_nat__mult__eq__one,axiom, % 3.87/3.85 ! [N,Ma] : % 3.87/3.85 ( hAPP_nat_nat(times_times_nat(N),Ma) = one_one_nat % 3.87/3.85 <=> ( N = one_one_nat % 3.87/3.85 & Ma = one_one_nat ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_767_real__add__mult__distrib,axiom, % 3.87/3.85 ! [Z1,Z2,W] : hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(Z1),Z2)),W) = hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(Z1),W)),hAPP_real_real(times_times_real(Z2),W)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_768_nat__power__eq__0__iff,axiom, % 3.87/3.85 ! [Ma,N] : % 3.87/3.85 ( hAPP_nat_nat(power_power_nat(Ma),N) = zero_zero_nat % 3.87/3.85 <=> ( N != zero_zero_nat % 3.87/3.85 & Ma = zero_zero_nat ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_769_divides__exp,axiom, % 3.87/3.85 ! [N_1,X_1,Y_1] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X_1),N_1)),hAPP_nat_nat(power_power_nat(Y_1),N_1))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_770_split__mult__neg__le,axiom, % 3.87/3.85 ! [B_30,A_32] : % 3.87/3.85 ( ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_32)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_30),zero_zero_real)) ) % 3.87/3.85 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_32),zero_zero_real)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_30)) ) ) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_32),B_30)),zero_zero_real)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_771_split__mult__neg__le,axiom, % 3.87/3.85 ! [B_30,A_32] : % 3.87/3.85 ( ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_32)) % 3.87/3.85 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_30),zero_zero_nat)) ) % 3.87/3.85 | ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_32),zero_zero_nat)) % 3.87/3.85 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_30)) ) ) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A_32),B_30)),zero_zero_nat)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_772_split__mult__neg__le,axiom, % 3.87/3.85 ! [B_30,A_32] : % 3.87/3.85 ( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_32)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_30),zero_zero_int)) ) % 3.87/3.85 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_32),zero_zero_int)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_30)) ) ) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_32),B_30)),zero_zero_int)) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_773_split__mult__pos__le,axiom, % 3.87/3.85 ! [B_29,A_31] : % 3.87/3.85 ( ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_31)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_29)) ) % 3.87/3.85 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_31),zero_zero_real)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_29),zero_zero_real)) ) ) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A_31),B_29))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_774_split__mult__pos__le,axiom, % 3.87/3.85 ! [B_29,A_31] : % 3.87/3.85 ( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_31)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_29)) ) % 3.87/3.85 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_31),zero_zero_int)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_29),zero_zero_int)) ) ) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A_31),B_29))) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_775_mult__mono,axiom, % 3.87/3.85 ! [C_14,D_4,A_30,B_28] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_30),B_28)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_14),D_4)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_28)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_14)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_30),C_14)),hAPP_real_real(times_times_real(B_28),D_4))) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_776_mult__mono,axiom, % 3.87/3.85 ! [C_14,D_4,A_30,B_28] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_30),B_28)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_14),D_4)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_28)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_14)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A_30),C_14)),hAPP_nat_nat(times_times_nat(B_28),D_4))) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_777_mult__mono,axiom, % 3.87/3.85 ! [C_14,D_4,A_30,B_28] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_30),B_28)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_14),D_4)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_28)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_14)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_30),C_14)),hAPP_int_int(times_times_int(B_28),D_4))) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_778_mult__mono_H,axiom, % 3.87/3.85 ! [C_13,D_3,A_29,B_27] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_29),B_27)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_13),D_3)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_29)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_13)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_29),C_13)),hAPP_real_real(times_times_real(B_27),D_3))) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_779_mult__mono_H,axiom, % 3.87/3.85 ! [C_13,D_3,A_29,B_27] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_29),B_27)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C_13),D_3)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_29)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_13)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A_29),C_13)),hAPP_nat_nat(times_times_nat(B_27),D_3))) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_780_mult__mono_H,axiom, % 3.87/3.85 ! [C_13,D_3,A_29,B_27] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_29),B_27)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_13),D_3)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_29)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_13)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_29),C_13)),hAPP_int_int(times_times_int(B_27),D_3))) ) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_781_mult__left__mono__neg,axiom, % 3.87/3.85 ! [C_12,B_26,A_28] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_26),A_28)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_12),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(C_12),A_28)),hAPP_real_real(times_times_real(C_12),B_26))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_782_mult__left__mono__neg,axiom, % 3.87/3.85 ! [C_12,B_26,A_28] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_26),A_28)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_12),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(C_12),A_28)),hAPP_int_int(times_times_int(C_12),B_26))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_783_mult__right__mono__neg,axiom, % 3.87/3.85 ! [C_11,B_25,A_27] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_25),A_27)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C_11),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_27),C_11)),hAPP_real_real(times_times_real(B_25),C_11))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_784_mult__right__mono__neg,axiom, % 3.87/3.85 ! [C_11,B_25,A_27] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_25),A_27)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C_11),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_27),C_11)),hAPP_int_int(times_times_int(B_25),C_11))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_785_comm__mult__left__mono,axiom, % 3.87/3.85 ! [C_10,A_26,B_24] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_26),B_24)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_10)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(C_10),A_26)),hAPP_real_real(times_times_real(C_10),B_24))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_786_comm__mult__left__mono,axiom, % 3.87/3.85 ! [C_10,A_26,B_24] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_26),B_24)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_10)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(C_10),A_26)),hAPP_nat_nat(times_times_nat(C_10),B_24))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_787_comm__mult__left__mono,axiom, % 3.87/3.85 ! [C_10,A_26,B_24] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_26),B_24)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_10)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(C_10),A_26)),hAPP_int_int(times_times_int(C_10),B_24))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_788_mult__left__mono,axiom, % 3.87/3.85 ! [C_9,A_25,B_23] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_25),B_23)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_9)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(C_9),A_25)),hAPP_real_real(times_times_real(C_9),B_23))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_789_mult__left__mono,axiom, % 3.87/3.85 ! [C_9,A_25,B_23] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_25),B_23)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_9)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(C_9),A_25)),hAPP_nat_nat(times_times_nat(C_9),B_23))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_790_mult__left__mono,axiom, % 3.87/3.85 ! [C_9,A_25,B_23] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_25),B_23)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_9)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(C_9),A_25)),hAPP_int_int(times_times_int(C_9),B_23))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_791_mult__right__mono,axiom, % 3.87/3.85 ! [C_8,A_24,B_22] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_24),B_22)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C_8)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_24),C_8)),hAPP_real_real(times_times_real(B_22),C_8))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_792_mult__right__mono,axiom, % 3.87/3.85 ! [C_8,A_24,B_22] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_24),B_22)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C_8)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A_24),C_8)),hAPP_nat_nat(times_times_nat(B_22),C_8))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_793_mult__right__mono,axiom, % 3.87/3.85 ! [C_8,A_24,B_22] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_24),B_22)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C_8)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_24),C_8)),hAPP_int_int(times_times_int(B_22),C_8))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_794_mult__nonpos__nonpos,axiom, % 3.87/3.85 ! [B_21,A_23] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_23),zero_zero_real)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_21),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A_23),B_21))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_795_mult__nonpos__nonpos,axiom, % 3.87/3.85 ! [B_21,A_23] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_23),zero_zero_int)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_21),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A_23),B_21))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_796_mult__nonpos__nonneg,axiom, % 3.87/3.85 ! [B_20,A_22] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_22),zero_zero_real)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_20)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_22),B_20)),zero_zero_real)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_797_mult__nonpos__nonneg,axiom, % 3.87/3.85 ! [B_20,A_22] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A_22),zero_zero_nat)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_20)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A_22),B_20)),zero_zero_nat)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_798_mult__nonpos__nonneg,axiom, % 3.87/3.85 ! [B_20,A_22] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_22),zero_zero_int)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_20)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_22),B_20)),zero_zero_int)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_799_mult__nonneg__nonpos2,axiom, % 3.87/3.85 ! [B_19,A_21] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_21)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_19),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(B_19),A_21)),zero_zero_real)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_800_mult__nonneg__nonpos2,axiom, % 3.87/3.85 ! [B_19,A_21] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_21)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_19),zero_zero_nat)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(B_19),A_21)),zero_zero_nat)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_801_mult__nonneg__nonpos2,axiom, % 3.87/3.85 ! [B_19,A_21] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_21)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_19),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(B_19),A_21)),zero_zero_int)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_802_mult__nonneg__nonpos,axiom, % 3.87/3.85 ! [B_18,A_20] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_20)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_18),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_20),B_18)),zero_zero_real)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_803_mult__nonneg__nonpos,axiom, % 3.87/3.85 ! [B_18,A_20] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_20)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B_18),zero_zero_nat)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A_20),B_18)),zero_zero_nat)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_804_mult__nonneg__nonpos,axiom, % 3.87/3.85 ! [B_18,A_20] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_20)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_18),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_20),B_18)),zero_zero_int)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_805_mult__nonneg__nonneg,axiom, % 3.87/3.85 ! [B_17,A_19] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_19)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_17)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A_19),B_17))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_806_mult__nonneg__nonneg,axiom, % 3.87/3.85 ! [B_17,A_19] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A_19)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B_17)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_19),B_17))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_807_mult__nonneg__nonneg,axiom, % 3.87/3.85 ! [B_17,A_19] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_19)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_17)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A_19),B_17))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_808_mult__le__0__iff,axiom, % 3.87/3.85 ! [A_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A_2),B_2)),zero_zero_real)) % 3.87/3.85 <=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_2)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_2),zero_zero_real)) ) % 3.87/3.85 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_2),zero_zero_real)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_2)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_809_mult__le__0__iff,axiom, % 3.87/3.85 ! [A_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A_2),B_2)),zero_zero_int)) % 3.87/3.85 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_2)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_2),zero_zero_int)) ) % 3.87/3.85 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),zero_zero_int)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_2)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_810_zero__le__mult__iff,axiom, % 3.87/3.85 ! [A_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A_2),B_2))) % 3.87/3.85 <=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A_2)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B_2)) ) % 3.87/3.85 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A_2),zero_zero_real)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B_2),zero_zero_real)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_811_zero__le__mult__iff,axiom, % 3.87/3.85 ! [A_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A_2),B_2))) % 3.87/3.85 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A_2)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B_2)) ) % 3.87/3.85 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A_2),zero_zero_int)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_2),zero_zero_int)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_812_zero__le__square,axiom, % 3.87/3.85 ! [A_18] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A_18),A_18))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_813_zero__le__square,axiom, % 3.87/3.85 ! [A_18] : hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A_18),A_18))) ). % 3.87/3.85 % 3.87/3.85 fof(fact_814_mult__strict__left__mono__neg,axiom, % 3.87/3.85 ! [C_7,B_16,A_17] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_16),A_17)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_7),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_7),A_17)),hAPP_real_real(times_times_real(C_7),B_16))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_815_mult__strict__left__mono__neg,axiom, % 3.87/3.85 ! [C_7,B_16,A_17] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_16),A_17)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_7),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_7),A_17)),hAPP_int_int(times_times_int(C_7),B_16))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_816_mult__strict__right__mono__neg,axiom, % 3.87/3.85 ! [C_6,B_15,A_16] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_15),A_16)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_6),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_16),C_6)),hAPP_real_real(times_times_real(B_15),C_6))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_817_mult__strict__right__mono__neg,axiom, % 3.87/3.85 ! [C_6,B_15,A_16] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_15),A_16)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_6),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_16),C_6)),hAPP_int_int(times_times_int(B_15),C_6))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_818_comm__mult__strict__left__mono,axiom, % 3.87/3.85 ! [C_5,A_15,B_14] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_15),B_14)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_5)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_5),A_15)),hAPP_real_real(times_times_real(C_5),B_14))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_819_comm__mult__strict__left__mono,axiom, % 3.87/3.85 ! [C_5,A_15,B_14] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_15),B_14)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_5)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C_5),A_15)),hAPP_nat_nat(times_times_nat(C_5),B_14))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_820_comm__mult__strict__left__mono,axiom, % 3.87/3.85 ! [C_5,A_15,B_14] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_15),B_14)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_5)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_5),A_15)),hAPP_int_int(times_times_int(C_5),B_14))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_821_mult__strict__left__mono,axiom, % 3.87/3.85 ! [C_4,A_14,B_13] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_14),B_13)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_4)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_4),A_14)),hAPP_real_real(times_times_real(C_4),B_13))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_822_mult__strict__left__mono,axiom, % 3.87/3.85 ! [C_4,A_14,B_13] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_14),B_13)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_4)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C_4),A_14)),hAPP_nat_nat(times_times_nat(C_4),B_13))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_823_mult__strict__left__mono,axiom, % 3.87/3.85 ! [C_4,A_14,B_13] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_14),B_13)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_4)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_4),A_14)),hAPP_int_int(times_times_int(C_4),B_13))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_824_mult__strict__right__mono,axiom, % 3.87/3.85 ! [C_3,A_13,B_12] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_13),B_12)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_3)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_13),C_3)),hAPP_real_real(times_times_real(B_12),C_3))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_825_mult__strict__right__mono,axiom, % 3.87/3.85 ! [C_3,A_13,B_12] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_13),B_12)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_3)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_13),C_3)),hAPP_nat_nat(times_times_nat(B_12),C_3))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_826_mult__strict__right__mono,axiom, % 3.87/3.85 ! [C_3,A_13,B_12] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_13),B_12)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_3)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_13),C_3)),hAPP_int_int(times_times_int(B_12),C_3))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_827_mult__neg__neg,axiom, % 3.87/3.85 ! [B_11,A_12] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_12),zero_zero_real)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_11),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_12),B_11))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_828_mult__neg__neg,axiom, % 3.87/3.85 ! [B_11,A_12] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_12),zero_zero_int)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_11),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_12),B_11))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_829_mult__neg__pos,axiom, % 3.87/3.85 ! [B_10,A_11] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_11),zero_zero_real)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_10)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_11),B_10)),zero_zero_real)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_830_mult__neg__pos,axiom, % 3.87/3.85 ! [B_10,A_11] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_11),zero_zero_nat)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_10)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_11),B_10)),zero_zero_nat)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_831_mult__neg__pos,axiom, % 3.87/3.85 ! [B_10,A_11] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_11),zero_zero_int)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_11),B_10)),zero_zero_int)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_832_mult__less__cancel__left__neg,axiom, % 3.87/3.85 ! [A_2,B_2,C_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_2),zero_zero_real)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_2),A_2)),hAPP_real_real(times_times_real(C_2),B_2))) % 3.87/3.85 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_2),A_2)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_833_mult__less__cancel__left__neg,axiom, % 3.87/3.85 ! [A_2,B_2,C_2] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_2),zero_zero_int)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_2),A_2)),hAPP_int_int(times_times_int(C_2),B_2))) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),A_2)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_834_zero__less__mult__pos2,axiom, % 3.87/3.85 ! [B_9,A_10] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(B_9),A_10))) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_10)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_9)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_835_zero__less__mult__pos2,axiom, % 3.87/3.85 ! [B_9,A_10] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(B_9),A_10))) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_10)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_9)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_836_zero__less__mult__pos2,axiom, % 3.87/3.85 ! [B_9,A_10] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(B_9),A_10))) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_10)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_9)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_837_zero__less__mult__pos,axiom, % 3.87/3.85 ! [A_9,B_8] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_9),B_8))) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_9)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_8)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_838_zero__less__mult__pos,axiom, % 3.87/3.85 ! [A_9,B_8] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_9),B_8))) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_9)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_8)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_839_zero__less__mult__pos,axiom, % 3.87/3.85 ! [A_9,B_8] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_9),B_8))) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_9)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_8)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_840_mult__pos__neg2,axiom, % 3.87/3.85 ! [B_7,A_8] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_8)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_7),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B_7),A_8)),zero_zero_real)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_841_mult__pos__neg2,axiom, % 3.87/3.85 ! [B_7,A_8] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_8)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_7),zero_zero_nat)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(B_7),A_8)),zero_zero_nat)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_842_mult__pos__neg2,axiom, % 3.87/3.85 ! [B_7,A_8] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_8)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_7),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B_7),A_8)),zero_zero_int)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_843_mult__pos__neg,axiom, % 3.87/3.85 ! [B_6,A_7] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_7)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_6),zero_zero_real)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_7),B_6)),zero_zero_real)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_844_mult__pos__neg,axiom, % 3.87/3.85 ! [B_6,A_7] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_7)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_6),zero_zero_nat)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A_7),B_6)),zero_zero_nat)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_845_mult__pos__neg,axiom, % 3.87/3.85 ! [B_6,A_7] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_7)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_6),zero_zero_int)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_7),B_6)),zero_zero_int)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_846_mult__pos__pos,axiom, % 3.87/3.85 ! [B_5,A_6] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_6)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_5)) % 3.87/3.85 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A_6),B_5))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_847_mult__pos__pos,axiom, % 3.87/3.85 ! [B_5,A_6] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_6)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_5)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A_6),B_5))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_848_mult__pos__pos,axiom, % 3.87/3.85 ! [B_5,A_6] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_6)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_5)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A_6),B_5))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_849_mult__less__cancel__left__pos,axiom, % 3.87/3.85 ! [A_2,B_2,C_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_2)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_2),A_2)),hAPP_real_real(times_times_real(C_2),B_2))) % 3.87/3.85 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),B_2)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_850_mult__less__cancel__left__pos,axiom, % 3.87/3.85 ! [A_2,B_2,C_2] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_2)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_2),A_2)),hAPP_int_int(times_times_int(C_2),B_2))) % 3.87/3.85 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_2)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_851_mult__less__cancel__left__disj,axiom, % 3.87/3.85 ! [C_2,A_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C_2),A_2)),hAPP_real_real(times_times_real(C_2),B_2))) % 3.87/3.85 <=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_2)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),B_2)) ) % 3.87/3.85 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_2),zero_zero_real)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_2),A_2)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_852_mult__less__cancel__left__disj,axiom, % 3.87/3.85 ! [C_2,A_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C_2),A_2)),hAPP_int_int(times_times_int(C_2),B_2))) % 3.87/3.85 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_2)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_2)) ) % 3.87/3.85 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_2),zero_zero_int)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),A_2)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_853_mult__less__cancel__right__disj,axiom, % 3.87/3.85 ! [A_2,C_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_2),C_2)),hAPP_real_real(times_times_real(B_2),C_2))) % 3.87/3.85 <=> ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_2)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_2),B_2)) ) % 3.87/3.85 | ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_2),zero_zero_real)) % 3.87/3.85 & hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_2),A_2)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_854_mult__less__cancel__right__disj,axiom, % 3.87/3.85 ! [A_2,C_2,B_2] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_2),C_2)),hAPP_int_int(times_times_int(B_2),C_2))) % 3.87/3.85 <=> ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_2)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_2)) ) % 3.87/3.85 | ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_2),zero_zero_int)) % 3.87/3.85 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),A_2)) ) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_855_not__square__less__zero,axiom, % 3.87/3.85 ! [A_5] : ~ hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A_5),A_5)),zero_zero_real)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_856_not__square__less__zero,axiom, % 3.87/3.85 ! [A_5] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A_5),A_5)),zero_zero_int)) ). % 3.87/3.85 % 3.87/3.85 fof(fact_857_pos__add__strict,axiom, % 3.87/3.85 ! [B_4,C_1,A_4] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_4)) % 3.87/3.85 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_4),C_1)) % 3.87/3.85 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_4),hAPP_nat_nat(plus_plus_nat(A_4),C_1))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_858_pos__add__strict,axiom, % 3.87/3.85 ! [B_4,C_1,A_4] : % 3.87/3.85 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_4)) % 3.87/3.85 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_4),C_1)) % 3.87/3.85 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_4),hAPP_int_int(plus_plus_int(A_4),C_1))) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_859_divides__ge,axiom, % 3.87/3.85 ! [A,B] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.85 => ( B = zero_zero_nat % 3.87/3.85 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_860_nat__mult__dvd__cancel__disj_H,axiom, % 3.87/3.85 ! [Ma,K,N] : % 3.87/3.85 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(Ma),K)),hAPP_nat_nat(times_times_nat(N),K))) % 3.87/3.85 <=> ( K = zero_zero_nat % 3.87/3.85 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),N)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_861_real__mult__less__iff1,axiom, % 3.87/3.85 ! [X_2,Y_2,Z_1] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(X_2),Z_1)),hAPP_real_real(times_times_real(Y_2),Z_1))) % 3.87/3.85 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2)) ) ) ). % 3.87/3.85 % 3.87/3.85 fof(fact_862_real__mult__le__cancel__iff1,axiom, % 3.87/3.85 ! [X_2,Y_2,Z_1] : % 3.87/3.85 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1)) % 3.87/3.85 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(X_2),Z_1)),hAPP_real_real(times_times_real(Y_2),Z_1))) % 3.87/3.85 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_2),Y_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_863_real__mult__le__cancel__iff2,axiom, % 3.87/3.86 ! [X_2,Y_2,Z_1] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1)) % 3.87/3.86 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(Z_1),X_2)),hAPP_real_real(times_times_real(Z_1),Y_2))) % 3.87/3.86 <=> hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X_2),Y_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_864_real__mult__order,axiom, % 3.87/3.86 ! [Y_1,X_1] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1)) % 3.87/3.86 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1)) % 3.87/3.86 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(X_1),Y_1))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_865_real__mult__less__mono2,axiom, % 3.87/3.86 ! [X_1,Y_1,Z] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z)) % 3.87/3.86 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1)) % 3.87/3.86 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(Z),X_1)),hAPP_real_real(times_times_real(Z),Y_1))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_866_real__two__squares__add__zero__iff,axiom, % 3.87/3.86 ! [X_2,Y_2] : % 3.87/3.86 ( hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(X_2),X_2)),hAPP_real_real(times_times_real(Y_2),Y_2)) = zero_zero_real % 3.87/3.86 <=> ( X_2 = zero_zero_real % 3.87/3.86 & Y_2 = zero_zero_real ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_867_divides__exp2,axiom, % 3.87/3.86 ! [X_1,Y_1,N_1] : % 3.87/3.86 ( N_1 != zero_zero_nat % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(X_1),N_1)),Y_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_868_divides__rev,axiom, % 3.87/3.86 ! [A,N_1,B] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),N_1)),hAPP_nat_nat(power_power_nat(B),N_1))) % 3.87/3.86 => ( N_1 != zero_zero_nat % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_869_exp__eq__1,axiom, % 3.87/3.86 ! [X_2,N] : % 3.87/3.86 ( hAPP_nat_nat(power_power_nat(X_2),N) = one_one_nat % 3.87/3.86 <=> ( X_2 = one_one_nat % 3.87/3.86 | N = zero_zero_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_870_divides__div__not,axiom, % 3.87/3.86 ! [X_1,Q_1,N_1,R_1] : % 3.87/3.86 ( X_1 = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(Q_1),N_1)),R_1) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_1),N_1)) % 3.87/3.86 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),X_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_871_two__realpow__ge__one,axiom, % 3.87/3.86 ! [N_1] : 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_1))) ). % 3.87/3.86 % 3.87/3.86 fof(fact_872_realpow__pos__nth,axiom, % 3.87/3.86 ! [A,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)) % 3.87/3.86 => ? [R_2] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_2)) % 3.87/3.86 & hAPP_nat_real(power_power_real(R_2),N_1) = A ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_873_realpow__pos__nth__unique,axiom, % 3.87/3.86 ! [A,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)) % 3.87/3.86 => ? [X] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X)) % 3.87/3.86 & hAPP_nat_real(power_power_real(X),N_1) = A % 3.87/3.86 & ! [Y] : % 3.87/3.86 ( ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y)) % 3.87/3.86 & hAPP_nat_real(power_power_real(Y),N_1) = A ) % 3.87/3.86 => Y = X ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_874_dvd__mult__cancel2,axiom, % 3.87/3.86 ! [N,Ma] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(N),Ma)),Ma)) % 3.87/3.86 <=> N = one_one_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_875_dvd__mult__cancel1,axiom, % 3.87/3.86 ! [N,Ma] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(Ma),N)),Ma)) % 3.87/3.86 <=> N = one_one_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_876_le0,axiom, % 3.87/3.86 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_877_dvd_Oorder__refl,axiom, % 3.87/3.86 ! [X_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),X_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_878_less__zeroE,axiom, % 3.87/3.86 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_879_diff__commute,axiom, % 3.87/3.86 ! [I_1,J_1,K_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_1)),K_1) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I_1),K_1)),J_1) ). % 3.87/3.86 % 3.87/3.86 fof(fact_880_real__le__refl,axiom, % 3.87/3.86 ! [W] : hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),W)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_881_real__le__linear,axiom, % 3.87/3.86 ! [Z,W] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z),W)) % 3.87/3.86 | hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),Z)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_882_real__le__trans,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,I_1),J_1)) % 3.87/3.86 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,J_1),K_1)) % 3.87/3.86 => hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,I_1),K_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_883_real__le__antisym,axiom, % 3.87/3.86 ! [Z,W] : % 3.87/3.86 ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,Z),W)) % 3.87/3.86 => ( hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,W),Z)) % 3.87/3.86 => Z = W ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_884_diff__0__eq__0,axiom, % 3.87/3.86 ! [N_1] : hAPP_nat_nat(minus_minus_nat(zero_zero_nat),N_1) = zero_zero_nat ). % 3.87/3.86 % 3.87/3.86 fof(fact_885_minus__nat_Odiff__0,axiom, % 3.87/3.86 ! [M] : hAPP_nat_nat(minus_minus_nat(M),zero_zero_nat) = M ). % 3.87/3.86 % 3.87/3.86 fof(fact_886_diff__self__eq__0,axiom, % 3.87/3.86 ! [M] : hAPP_nat_nat(minus_minus_nat(M),M) = zero_zero_nat ). % 3.87/3.86 % 3.87/3.86 fof(fact_887_diffs0__imp__equal,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hAPP_nat_nat(minus_minus_nat(M),N_1) = zero_zero_nat % 3.87/3.86 => ( hAPP_nat_nat(minus_minus_nat(N_1),M) = zero_zero_nat % 3.87/3.86 => M = N_1 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_888_nat__less__cases,axiom, % 3.87/3.86 ! [P_2,Ma,N] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_2,N),Ma)) ) % 3.87/3.86 => ( ( Ma = N % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_2,N),Ma)) ) % 3.87/3.86 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_2,N),Ma)) ) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_2,N),Ma)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_889_less__not__refl3,axiom, % 3.87/3.86 ! [S,T] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T)) % 3.87/3.86 => S != T ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_890_less__not__refl2,axiom, % 3.87/3.86 ! [N_1,M] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M)) % 3.87/3.86 => M != N_1 ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_891_less__irrefl__nat,axiom, % 3.87/3.86 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_892_linorder__neqE__nat,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( X_1 != Y_1 % 3.87/3.86 => ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_893_nat__neq__iff,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( Ma != N % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) % 3.87/3.86 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_894_less__not__refl,axiom, % 3.87/3.86 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_895_diff__less__mono2,axiom, % 3.87/3.86 ! [L,M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(L),N_1)),hAPP_nat_nat(minus_minus_nat(L),M))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_896_less__imp__diff__less,axiom, % 3.87/3.86 ! [N_1,J_1,K_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(J_1),N_1)),K_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_897_dvd_Oless__asym,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_898_dvd_Oless__trans,axiom, % 3.87/3.86 ! [Z,X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y_1)) ) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_899_dvd_Oless__asym_H,axiom, % 3.87/3.86 ! [A,B] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)) ) % 3.87/3.86 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_900_dvd_Oless__le__trans,axiom, % 3.87/3.86 ! [Z,X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_901_dvd_Oord__less__eq__trans,axiom, % 3.87/3.86 ! [C,A,B] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)) ) % 3.87/3.86 => ( B = C % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_902_dvd_Oless__imp__triv,axiom, % 3.87/3.86 ! [P_2,X_2,Y_2] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) ) % 3.87/3.86 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) ) % 3.87/3.86 => hBOOL(P_2) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_903_dvd_Oless__imp__not__eq2,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => Y_1 != X_1 ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_904_dvd_Oless__imp__not__eq,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => X_1 != Y_1 ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_905_dvd_Oless__imp__not__less,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_906_dvd_Oless__imp__le,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_907_dvd_Oless__not__sym,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_908_dvd_Oless__imp__neq,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 => X_1 != Y_1 ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_909_dvd_Ole__less__trans,axiom, % 3.87/3.86 ! [Z,X_1,Y_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),Y_1)) ) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z),X_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_910_dvd_Oord__eq__less__trans,axiom, % 3.87/3.86 ! [C,A,B] : % 3.87/3.86 ( A = B % 3.87/3.86 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B)) ) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_911_dvd_Oorder__trans,axiom, % 3.87/3.86 ! [Z,X_1,Y_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_912_dvd_Oantisym,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) % 3.87/3.86 => X_1 = Y_1 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_913_dvd__antisym,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M)) % 3.87/3.86 => M = N_1 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_914_dvd_Oord__le__eq__trans,axiom, % 3.87/3.86 ! [C,A,B] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.86 => ( B = C % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_915_dvd_Oord__eq__le__trans,axiom, % 3.87/3.86 ! [C,A,B] : % 3.87/3.86 ( A = B % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_916_dvd_Ole__neq__trans,axiom, % 3.87/3.86 ! [A,B] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.86 => ( A != B % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_917_dvd_Ole__imp__less__or__eq,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 => ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1)) ) % 3.87/3.86 | X_1 = Y_1 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_918_dvd_Oantisym__conv,axiom, % 3.87/3.86 ! [Y_2,X_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 <=> X_2 = Y_2 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_919_dvd_Oeq__refl,axiom, % 3.87/3.86 ! [X_1,Y_1] : % 3.87/3.86 ( X_1 = Y_1 % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_920_dvd_Oneq__le__trans,axiom, % 3.87/3.86 ! [A,B] : % 3.87/3.86 ( A != B % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_921_dvd_Oless__le__not__le,axiom, % 3.87/3.86 ! [X_2,Y_2] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) ) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_922_dvd_Oless__le,axiom, % 3.87/3.86 ! [X_2,Y_2] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) ) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 & X_2 != Y_2 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_923_dvd_Ole__less,axiom, % 3.87/3.86 ! [X_2,Y_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) ) % 3.87/3.86 | X_2 = Y_2 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_924_dvd_Oeq__iff,axiom, % 3.87/3.86 ! [X_2,Y_2] : % 3.87/3.86 ( X_2 = Y_2 % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2)) % 3.87/3.86 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_925_dvd_Oless__irrefl,axiom, % 3.87/3.86 ! [X_1] : % 3.87/3.86 ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),X_1)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),X_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_926_dvd__diff__nat,axiom, % 3.87/3.86 ! [N_1,K_1,M] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(minus_minus_nat(M),N_1))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_927_nat__add__commute,axiom, % 3.87/3.86 ! [M,N_1] : hAPP_nat_nat(plus_plus_nat(M),N_1) = hAPP_nat_nat(plus_plus_nat(N_1),M) ). % 3.87/3.86 % 3.87/3.86 fof(fact_928_nat__add__left__commute,axiom, % 3.87/3.86 ! [X_1,Y_1,Z] : hAPP_nat_nat(plus_plus_nat(X_1),hAPP_nat_nat(plus_plus_nat(Y_1),Z)) = hAPP_nat_nat(plus_plus_nat(Y_1),hAPP_nat_nat(plus_plus_nat(X_1),Z)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_929_nat__add__assoc,axiom, % 3.87/3.86 ! [M,N_1,K_1] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),K_1) = hAPP_nat_nat(plus_plus_nat(M),hAPP_nat_nat(plus_plus_nat(N_1),K_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_930_nat__add__left__cancel,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hAPP_nat_nat(plus_plus_nat(K),Ma) = hAPP_nat_nat(plus_plus_nat(K),N) % 3.87/3.86 <=> Ma = N ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_931_nat__add__right__cancel,axiom, % 3.87/3.86 ! [Ma,K,N] : % 3.87/3.86 ( hAPP_nat_nat(plus_plus_nat(Ma),K) = hAPP_nat_nat(plus_plus_nat(N),K) % 3.87/3.86 <=> Ma = N ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_932_diff__add__inverse2,axiom, % 3.87/3.86 ! [M,N_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),N_1) = M ). % 3.87/3.86 % 3.87/3.86 fof(fact_933_diff__add__inverse,axiom, % 3.87/3.86 ! [N_1,M] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N_1),M)),N_1) = M ). % 3.87/3.86 % 3.87/3.86 fof(fact_934_diff__diff__left,axiom, % 3.87/3.86 ! [I_1,J_1,K_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_1)),K_1) = hAPP_nat_nat(minus_minus_nat(I_1),hAPP_nat_nat(plus_plus_nat(J_1),K_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_935_Nat_Odiff__cancel,axiom, % 3.87/3.86 ! [K_1,M,N_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(K_1),M)),hAPP_nat_nat(plus_plus_nat(K_1),N_1)) = hAPP_nat_nat(minus_minus_nat(M),N_1) ). % 3.87/3.86 % 3.87/3.86 fof(fact_936_diff__cancel2,axiom, % 3.87/3.86 ! [M,K_1,N_1] : hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(M),K_1)),hAPP_nat_nat(plus_plus_nat(N_1),K_1)) = hAPP_nat_nat(minus_minus_nat(M),N_1) ). % 3.87/3.86 % 3.87/3.86 fof(fact_937_le__refl,axiom, % 3.87/3.86 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),N_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_938_nat__le__linear,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_939_eq__imp__le,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( M = N_1 % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_940_le__trans,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),K_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),K_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_941_le__antisym,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M)) % 3.87/3.86 => M = N_1 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_942_Nat_Odiff__le__self,axiom, % 3.87/3.86 ! [M,N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),M)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_943_diff__le__mono2,axiom, % 3.87/3.86 ! [L,M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(L),N_1)),hAPP_nat_nat(minus_minus_nat(L),M))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_944_diff__le__mono,axiom, % 3.87/3.86 ! [L,M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(M),L)),hAPP_nat_nat(minus_minus_nat(N_1),L))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_945_diff__diff__cancel,axiom, % 3.87/3.86 ! [I_1,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),N_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(minus_minus_nat(N_1),I_1)) = I_1 ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_946_eq__diff__iff,axiom, % 3.87/3.86 ! [N,K,Ma] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Ma)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N)) % 3.87/3.86 => ( hAPP_nat_nat(minus_minus_nat(Ma),K) = hAPP_nat_nat(minus_minus_nat(N),K) % 3.87/3.86 <=> Ma = N ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_947_Nat_Odiff__diff__eq,axiom, % 3.87/3.86 ! [N_1,K_1,M] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),M)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(M),K_1)),hAPP_nat_nat(minus_minus_nat(N_1),K_1)) = hAPP_nat_nat(minus_minus_nat(M),N_1) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_948_le__diff__iff,axiom, % 3.87/3.86 ! [N,K,Ma] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Ma)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(Ma),K)),hAPP_nat_nat(minus_minus_nat(N),K))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_949_nat__mult__assoc,axiom, % 3.87/3.86 ! [M,N_1,K_1] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(times_times_nat(M),N_1)),K_1) = hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(times_times_nat(N_1),K_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_950_nat__mult__commute,axiom, % 3.87/3.86 ! [M,N_1] : hAPP_nat_nat(times_times_nat(M),N_1) = hAPP_nat_nat(times_times_nat(N_1),M) ). % 3.87/3.86 % 3.87/3.86 fof(fact_951_diff__mult__distrib,axiom, % 3.87/3.86 ! [M,N_1,K_1] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),K_1) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(M),K_1)),hAPP_nat_nat(times_times_nat(N_1),K_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_952_diff__mult__distrib2,axiom, % 3.87/3.86 ! [K_1,M,N_1] : hAPP_nat_nat(times_times_nat(K_1),hAPP_nat_nat(minus_minus_nat(M),N_1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(K_1),M)),hAPP_nat_nat(times_times_nat(K_1),N_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_953_gr0I,axiom, % 3.87/3.86 ! [N_1] : % 3.87/3.86 ( N_1 != zero_zero_nat % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_954_gr__implies__not0,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.86 => N_1 != zero_zero_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_955_less__nat__zero__code,axiom, % 3.87/3.86 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_956_neq0__conv,axiom, % 3.87/3.86 ! [N] : % 3.87/3.86 ( N != zero_zero_nat % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_957_not__less0,axiom, % 3.87/3.86 ! [N_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_958_diff__less,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(M),N_1)),M)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_959_zero__less__diff,axiom, % 3.87/3.86 ! [N,Ma] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(minus_minus_nat(N),Ma))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_960_add__eq__self__zero,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hAPP_nat_nat(plus_plus_nat(M),N_1) = M % 3.87/3.86 => N_1 = zero_zero_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_961_add__is__0,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hAPP_nat_nat(plus_plus_nat(Ma),N) = zero_zero_nat % 3.87/3.86 <=> ( Ma = zero_zero_nat % 3.87/3.86 & N = zero_zero_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_962_Nat_Oadd__0__right,axiom, % 3.87/3.86 ! [M] : hAPP_nat_nat(plus_plus_nat(M),zero_zero_nat) = M ). % 3.87/3.86 % 3.87/3.86 fof(fact_963_plus__nat_Oadd__0,axiom, % 3.87/3.86 ! [N_1] : hAPP_nat_nat(plus_plus_nat(zero_zero_nat),N_1) = N_1 ). % 3.87/3.86 % 3.87/3.86 fof(fact_964_diff__add__0,axiom, % 3.87/3.86 ! [N_1,M] : hAPP_nat_nat(minus_minus_nat(N_1),hAPP_nat_nat(plus_plus_nat(N_1),M)) = zero_zero_nat ). % 3.87/3.86 % 3.87/3.86 fof(fact_965_le__0__eq,axiom, % 3.87/3.86 ! [N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N),zero_zero_nat)) % 3.87/3.86 <=> N = zero_zero_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_966_less__eq__nat_Osimps_I1_J,axiom, % 3.87/3.86 ! [N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),N_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_967_diff__is__0__eq_H,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(M),N_1) = zero_zero_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_968_diff__is__0__eq,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hAPP_nat_nat(minus_minus_nat(Ma),N) = zero_zero_nat % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_969_mult__0,axiom, % 3.87/3.86 ! [N_1] : hAPP_nat_nat(times_times_nat(zero_zero_nat),N_1) = zero_zero_nat ). % 3.87/3.86 % 3.87/3.86 fof(fact_970_mult__0__right,axiom, % 3.87/3.86 ! [M] : hAPP_nat_nat(times_times_nat(M),zero_zero_nat) = zero_zero_nat ). % 3.87/3.86 % 3.87/3.86 fof(fact_971_mult__is__0,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hAPP_nat_nat(times_times_nat(Ma),N) = zero_zero_nat % 3.87/3.86 <=> ( Ma = zero_zero_nat % 3.87/3.86 | N = zero_zero_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_972_mult__cancel1,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hAPP_nat_nat(times_times_nat(K),Ma) = hAPP_nat_nat(times_times_nat(K),N) % 3.87/3.86 <=> ( Ma = N % 3.87/3.86 | K = zero_zero_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_973_mult__cancel2,axiom, % 3.87/3.86 ! [Ma,K,N] : % 3.87/3.86 ( hAPP_nat_nat(times_times_nat(Ma),K) = hAPP_nat_nat(times_times_nat(N),K) % 3.87/3.86 <=> ( Ma = N % 3.87/3.86 | K = zero_zero_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_974_not__add__less1,axiom, % 3.87/3.86 ! [I_1,J_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),J_1)),I_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_975_not__add__less2,axiom, % 3.87/3.86 ! [J_1,I_1] : ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J_1),I_1)),I_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_976_nat__add__left__cancel__less,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K),Ma)),hAPP_nat_nat(plus_plus_nat(K),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_977_trans__less__add1,axiom, % 3.87/3.86 ! [M,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(plus_plus_nat(J_1),M))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_978_trans__less__add2,axiom, % 3.87/3.86 ! [M,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(plus_plus_nat(M),J_1))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_979_add__less__mono1,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),hAPP_nat_nat(plus_plus_nat(J_1),K_1))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_980_add__less__mono,axiom, % 3.87/3.86 ! [K_1,L,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),hAPP_nat_nat(plus_plus_nat(J_1),L))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_981_less__add__eq__less,axiom, % 3.87/3.86 ! [M,N_1,K_1,L] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),L)) % 3.87/3.86 => ( hAPP_nat_nat(plus_plus_nat(M),L) = hAPP_nat_nat(plus_plus_nat(K_1),N_1) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_982_add__lessD1,axiom, % 3.87/3.86 ! [I_1,J_1,K_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_1),J_1)),K_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_983_add__diff__inverse,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.86 => hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(minus_minus_nat(M),N_1)) = M ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_984_less__diff__conv,axiom, % 3.87/3.86 ! [I_2,J_2,K] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(minus_minus_nat(J_2),K))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),J_2)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_985_nat__less__le,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) % 3.87/3.86 & Ma != N ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_986_le__eq__less__or__eq,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) % 3.87/3.86 | Ma = N ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_987_less__imp__le__nat,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_988_le__neq__implies__less,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 => ( M != N_1 % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_989_less__or__eq__imp__le,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.86 | M = N_1 ) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_990_less__diff__iff,axiom, % 3.87/3.86 ! [N,K,Ma] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),Ma)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),N)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(Ma),K)),hAPP_nat_nat(minus_minus_nat(N),K))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_991_diff__less__mono,axiom, % 3.87/3.86 ! [C,A,B] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(A),C)),hAPP_nat_nat(minus_minus_nat(B),C))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_992_dvd__reduce,axiom, % 3.87/3.86 ! [K,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),hAPP_nat_nat(plus_plus_nat(N),K))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),N)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_993_dvd__diffD1,axiom, % 3.87/3.86 ! [K_1,M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(minus_minus_nat(M),N_1))) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_994_dvd__diffD,axiom, % 3.87/3.86 ! [K_1,M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(minus_minus_nat(M),N_1))) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),M)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_995_le__add2,axiom, % 3.87/3.86 ! [N_1,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(plus_plus_nat(M),N_1))) ). % 3.87/3.86 % 3.87/3.86 fof(fact_996_le__add1,axiom, % 3.87/3.86 ! [N_1,M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),hAPP_nat_nat(plus_plus_nat(N_1),M))) ). % 3.87/3.86 % 3.87/3.86 fof(fact_997_le__iff__add,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) % 3.87/3.86 <=> ? [K_2] : N = hAPP_nat_nat(plus_plus_nat(Ma),K_2) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_998_nat__add__left__cancel__le,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(K),Ma)),hAPP_nat_nat(plus_plus_nat(K),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_999_trans__le__add1,axiom, % 3.87/3.86 ! [M,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),hAPP_nat_nat(plus_plus_nat(J_1),M))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1000_trans__le__add2,axiom, % 3.87/3.86 ! [M,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),hAPP_nat_nat(plus_plus_nat(M),J_1))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1001_add__le__mono1,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),hAPP_nat_nat(plus_plus_nat(J_1),K_1))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1002_add__le__mono,axiom, % 3.87/3.86 ! [K_1,L,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I_1),K_1)),hAPP_nat_nat(plus_plus_nat(J_1),L))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1003_add__leD2,axiom, % 3.87/3.86 ! [M,K_1,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M),K_1)),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1004_add__leD1,axiom, % 3.87/3.86 ! [M,K_1,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M),K_1)),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1005_add__leE,axiom, % 3.87/3.86 ! [M,K_1,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(M),K_1)),N_1)) % 3.87/3.86 => ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1006_diff__diff__right,axiom, % 3.87/3.86 ! [I_1,K_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I_1),K_1)),J_1) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1007_le__diff__conv,axiom, % 3.87/3.86 ! [J_2,K,I_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(J_2),K)),I_2)) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_2),hAPP_nat_nat(plus_plus_nat(I_2),K))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1008_le__add__diff,axiom, % 3.87/3.86 ! [M,K_1,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(N_1),M)),K_1))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1009_le__add__diff__inverse,axiom, % 3.87/3.86 ! [N_1,M] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M)) % 3.87/3.86 => hAPP_nat_nat(plus_plus_nat(N_1),hAPP_nat_nat(minus_minus_nat(M),N_1)) = M ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1010_add__diff__assoc,axiom, % 3.87/3.86 ! [I_1,K_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1)) % 3.87/3.86 => hAPP_nat_nat(plus_plus_nat(I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I_1),J_1)),K_1) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1011_le__diff__conv2,axiom, % 3.87/3.86 ! [I_2,K,J_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K),J_2)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),hAPP_nat_nat(minus_minus_nat(J_2),K))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),J_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1012_le__add__diff__inverse2,axiom, % 3.87/3.86 ! [N_1,M] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M)) % 3.87/3.86 => hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),N_1) = M ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1013_le__imp__diff__is__add,axiom, % 3.87/3.86 ! [K,I_2,J_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 3.87/3.86 => ( hAPP_nat_nat(minus_minus_nat(J_2),I_2) = K % 3.87/3.86 <=> J_2 = hAPP_nat_nat(plus_plus_nat(K),I_2) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1014_diff__add__assoc,axiom, % 3.87/3.86 ! [I_1,K_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(I_1),J_1)),K_1) = hAPP_nat_nat(plus_plus_nat(I_1),hAPP_nat_nat(minus_minus_nat(J_1),K_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1015_add__diff__assoc2,axiom, % 3.87/3.86 ! [I_1,K_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1)) % 3.87/3.86 => hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_1),K_1)),I_1) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_1),I_1)),K_1) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1016_diff__add__assoc2,axiom, % 3.87/3.86 ! [I_1,K_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),J_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(J_1),I_1)),K_1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(J_1),K_1)),I_1) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1017_add__mult__distrib,axiom, % 3.87/3.86 ! [M,N_1,K_1] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(M),N_1)),K_1) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(M),K_1)),hAPP_nat_nat(times_times_nat(N_1),K_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1018_add__mult__distrib2,axiom, % 3.87/3.86 ! [K_1,M,N_1] : hAPP_nat_nat(times_times_nat(K_1),hAPP_nat_nat(plus_plus_nat(M),N_1)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(K_1),M)),hAPP_nat_nat(times_times_nat(K_1),N_1)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1019_nat__dvd__1__iff__1,axiom, % 3.87/3.86 ! [Ma] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),one_one_nat)) % 3.87/3.86 <=> Ma = one_one_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1020_mult__le__mono,axiom, % 3.87/3.86 ! [K_1,L,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),L)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(I_1),K_1)),hAPP_nat_nat(times_times_nat(J_1),L))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1021_mult__le__mono2,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(K_1),I_1)),hAPP_nat_nat(times_times_nat(K_1),J_1))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1022_mult__le__mono1,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(I_1),K_1)),hAPP_nat_nat(times_times_nat(J_1),K_1))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1023_le__cube,axiom, % 3.87/3.86 ! [M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(times_times_nat(M),hAPP_nat_nat(times_times_nat(M),M)))) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1024_le__square,axiom, % 3.87/3.86 ! [M] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),hAPP_nat_nat(times_times_nat(M),M))) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1025_nat__mult__eq__1__iff,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hAPP_nat_nat(times_times_nat(Ma),N) = one_one_nat % 3.87/3.86 <=> ( Ma = one_one_nat % 3.87/3.86 & N = one_one_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1026_nat__mult__1__right,axiom, % 3.87/3.86 ! [N_1] : hAPP_nat_nat(times_times_nat(N_1),one_one_nat) = N_1 ). % 3.87/3.86 % 3.87/3.86 fof(fact_1027_nat__1__eq__mult__iff,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( one_one_nat = hAPP_nat_nat(times_times_nat(Ma),N) % 3.87/3.86 <=> ( Ma = one_one_nat % 3.87/3.86 & N = one_one_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1028_nat__mult__1,axiom, % 3.87/3.86 ! [N_1] : hAPP_nat_nat(times_times_nat(one_one_nat),N_1) = N_1 ). % 3.87/3.86 % 3.87/3.86 fof(fact_1029_nat__dvd__not__less,axiom, % 3.87/3.86 ! [N_1,M] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.86 => ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1030_add__gr__0,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(Ma),N))) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)) % 3.87/3.86 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1031_nat__diff__split,axiom, % 3.87/3.86 ! [P_2,A_2,B_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(P_2,hAPP_nat_nat(minus_minus_nat(A_2),B_2))) % 3.87/3.86 <=> ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_2)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(P_2,zero_zero_nat)) ) % 3.87/3.86 & ! [D_2] : % 3.87/3.86 ( A_2 = hAPP_nat_nat(plus_plus_nat(B_2),D_2) % 3.87/3.86 => hBOOL(hAPP_nat_bool(P_2,D_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1032_nat__diff__split__asm,axiom, % 3.87/3.86 ! [P_2,A_2,B_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(P_2,hAPP_nat_nat(minus_minus_nat(A_2),B_2))) % 3.87/3.86 <=> ~ ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_2),B_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(P_2,zero_zero_nat)) ) % 3.87/3.86 | ? [D_2] : % 3.87/3.86 ( A_2 = hAPP_nat_nat(plus_plus_nat(B_2),D_2) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(P_2,D_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1033_mult__less__mono2,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K_1),I_1)),hAPP_nat_nat(times_times_nat(K_1),J_1))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1034_mult__less__mono1,axiom, % 3.87/3.86 ! [K_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(I_1),K_1)),hAPP_nat_nat(times_times_nat(J_1),K_1))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1035_mult__less__cancel2,axiom, % 3.87/3.86 ! [Ma,K,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(Ma),K)),hAPP_nat_nat(times_times_nat(N),K))) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1036_mult__less__cancel1,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K),Ma)),hAPP_nat_nat(times_times_nat(K),N))) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1037_nat__0__less__mult__iff,axiom, % 3.87/3.86 ! [Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(Ma),N))) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)) % 3.87/3.86 & hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1038_mult__eq__self__implies__10,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( M = hAPP_nat_nat(times_times_nat(M),N_1) % 3.87/3.86 => ( N_1 = one_one_nat % 3.87/3.86 | M = zero_zero_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1039_dvd__imp__le,axiom, % 3.87/3.86 ! [K_1,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_1),N_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1040_dvd__mult__cancel,axiom, % 3.87/3.86 ! [K_1,M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(K_1),M)),hAPP_nat_nat(times_times_nat(K_1),N_1))) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1041_mult__le__cancel1,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(K),Ma)),hAPP_nat_nat(times_times_nat(K),N))) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1042_mult__le__cancel2,axiom, % 3.87/3.86 ! [Ma,K,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(Ma),K)),hAPP_nat_nat(times_times_nat(N),K))) % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1043_ex__least__nat__less,axiom, % 3.87/3.86 ! [N,P_2] : % 3.87/3.86 ( ~ hBOOL(hAPP_nat_bool(P_2,zero_zero_nat)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(P_2,N)) % 3.87/3.86 => ? [K_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),N)) % 3.87/3.86 & ! [I] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I),K_2)) % 3.87/3.86 => ~ hBOOL(hAPP_nat_bool(P_2,I)) ) % 3.87/3.86 & hBOOL(hAPP_nat_bool(P_2,hAPP_nat_nat(plus_plus_nat(K_2),one_one_nat))) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1044_nat__less__add__iff2,axiom, % 3.87/3.86 ! [U,Ma,N,I_2,J_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_2),U)),Ma)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_2)),U)),N))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1045_nat__mult__eq__cancel__disj,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hAPP_nat_nat(times_times_nat(K),Ma) = hAPP_nat_nat(times_times_nat(K),N) % 3.87/3.86 <=> ( K = zero_zero_nat % 3.87/3.86 | Ma = N ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1046_left__add__mult__distrib,axiom, % 3.87/3.86 ! [I_1,U_1,J_1,K_1] : hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U_1)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_1),U_1)),K_1)) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(I_1),J_1)),U_1)),K_1) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1047_nat__mult__eq__cancel1,axiom, % 3.87/3.86 ! [Ma,N,K] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 => ( hAPP_nat_nat(times_times_nat(K),Ma) = hAPP_nat_nat(times_times_nat(K),N) % 3.87/3.86 <=> Ma = N ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1048_nat__mult__less__cancel1,axiom, % 3.87/3.86 ! [Ma,N,K] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(K),Ma)),hAPP_nat_nat(times_times_nat(K),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1049_nat__mult__dvd__cancel__disj,axiom, % 3.87/3.86 ! [K,Ma,N] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(K),Ma)),hAPP_nat_nat(times_times_nat(K),N))) % 3.87/3.86 <=> ( K = zero_zero_nat % 3.87/3.86 | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1050_nat__mult__dvd__cancel1,axiom, % 3.87/3.86 ! [Ma,N,K] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(K),Ma)),hAPP_nat_nat(times_times_nat(K),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1051_nat__mult__le__cancel1,axiom, % 3.87/3.86 ! [Ma,N,K] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(K),Ma)),hAPP_nat_nat(times_times_nat(K),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1052_nat__le__add__iff1,axiom, % 3.87/3.86 ! [U,Ma,N,J_2,I_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_2),I_2)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_2),U)),Ma)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_2),J_2)),U)),Ma)),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1053_nat__diff__add__eq1,axiom, % 3.87/3.86 ! [U_1,M,N_1,J_1,I_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_1),I_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U_1)),M)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_1),U_1)),N_1)) = hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_1),J_1)),U_1)),M)),N_1) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1054_nat__eq__add__iff1,axiom, % 3.87/3.86 ! [U,Ma,N,J_2,I_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_2),I_2)) % 3.87/3.86 => ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_2),U)),Ma) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N) % 3.87/3.86 <=> hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_2),J_2)),U)),Ma) = N ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1055_nat__le__add__iff2,axiom, % 3.87/3.86 ! [U,Ma,N,I_2,J_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_2),U)),Ma)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,Ma),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_2)),U)),N))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1056_nat__diff__add__eq2,axiom, % 3.87/3.86 ! [U_1,M,N_1,I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_1),J_1)) % 3.87/3.86 => hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_1),U_1)),M)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_1),U_1)),N_1)) = hAPP_nat_nat(minus_minus_nat(M),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_1),I_1)),U_1)),N_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1057_nat__eq__add__iff2,axiom, % 3.87/3.86 ! [U,Ma,N,I_2,J_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,I_2),J_2)) % 3.87/3.86 => ( hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_2),U)),Ma) = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N) % 3.87/3.86 <=> Ma = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(J_2),I_2)),U)),N) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1058_nat__less__add__iff1,axiom, % 3.87/3.86 ! [U,Ma,N,J_2,I_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,J_2),I_2)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(I_2),U)),Ma)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(J_2),U)),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(I_2),J_2)),U)),Ma)),N)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1059_number__of1,axiom, % 3.87/3.86 ! [N_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(N_1))) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit0(N_1)))) % 3.87/3.86 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(bit1(N_1)))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1060_is__sum2sq__def,axiom, % 3.87/3.86 ! [X_2] : % 3.87/3.86 ( is_int(X_2) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,X_2)) % 3.87/3.86 <=> ? [A_3,B_3] : % 3.87/3.86 ( is_int(A_3) % 3.87/3.86 & is_int(B_3) % 3.87/3.86 & twoSqu1241645765sum2sq(product_Pair_int_int(A_3,B_3)) = X_2 ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1061_imp__le__cong,axiom, % 3.87/3.86 ! [P_5,P_2,X_2] : % 3.87/3.86 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.87/3.86 => ( hBOOL(P_2) % 3.87/3.86 <=> hBOOL(P_5) ) ) % 3.87/3.86 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.87/3.86 => hBOOL(P_2) ) % 3.87/3.86 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.87/3.86 => hBOOL(P_5) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1062_conj__le__cong,axiom, % 3.87/3.86 ! [P_5,P_2,X_2] : % 3.87/3.86 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.87/3.86 => ( hBOOL(P_2) % 3.87/3.86 <=> hBOOL(P_5) ) ) % 3.87/3.86 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.87/3.86 & hBOOL(P_2) ) % 3.87/3.86 <=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_2)) % 3.87/3.86 & hBOOL(P_5) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1063_zdvd__mono,axiom, % 3.87/3.86 ! [Ma,Ta,K] : % 3.87/3.86 ( is_int(K) % 3.87/3.86 => ( K != zero_zero_int % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),Ta)) % 3.87/3.86 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(K),Ma)),hAPP_int_int(times_times_int(K),Ta))) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1064_number__of2,axiom, % 3.87/3.86 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(pls))) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1065_decr__mult__lemma,axiom, % 3.87/3.86 ! [K,P_2,D] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D)) % 3.87/3.86 => ( ! [X] : % 3.87/3.86 ( is_int(X) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,X)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int(X),D))) ) ) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K)) % 3.87/3.86 => ! [X] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(P_2,X)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int(X),hAPP_int_int(times_times_int(K),D)))) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1066_incr__mult__lemma,axiom, % 3.87/3.86 ! [K,P_2,D] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D)) % 3.87/3.86 => ( ! [X] : % 3.87/3.86 ( is_int(X) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,X)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(plus_plus_int(X),D))) ) ) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),K)) % 3.87/3.86 => ! [X] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(P_2,X)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(plus_plus_int(X),hAPP_int_int(times_times_int(K),D)))) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1067_zprime__factor__exists,axiom, % 3.87/3.86 ! [A] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)) % 3.87/3.86 => ? [P_4] : % 3.87/3.86 ( is_int(P_4) % 3.87/3.86 & hBOOL(hAPP_int_bool(zprime,P_4)) % 3.87/3.86 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),A)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1068_zcong__zless__unique,axiom, % 3.87/3.86 ! [A,M] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M)) % 3.87/3.86 => ? [X] : % 3.87/3.86 ( is_int(X) % 3.87/3.86 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X)) % 3.87/3.86 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M)) % 3.87/3.86 & hBOOL(hAPP_int_bool(zcong(A,X),M)) % 3.87/3.86 & ! [Y] : % 3.87/3.86 ( is_int(Y) % 3.87/3.86 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y)) % 3.87/3.86 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),M)) % 3.87/3.86 & hBOOL(hAPP_int_bool(zcong(A,Y),M)) ) % 3.87/3.86 => Y = X ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1069_norR__mem__unique__aux,axiom, % 3.87/3.86 ! [A,B] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),hAPP_int_int(minus_minus_int(B),one_one_int))) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1070_Wilson__Russ,axiom, % 3.87/3.86 ! [P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(zfact(hAPP_int_int(minus_minus_int(P_1),one_one_int)),number_number_of_int(min)),P_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1071_zfact_Osimps,axiom, % 3.87/3.86 ! [N_1] : % 3.87/3.86 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,N_1),zero_zero_int)) % 3.87/3.86 => zfact(N_1) = one_one_int ) % 3.87/3.86 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,N_1),zero_zero_int)) % 3.87/3.86 => zfact(N_1) = hAPP_int_int(times_times_int(N_1),zfact(hAPP_int_int(minus_minus_int(N_1),one_one_int))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1072_inv__inv,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( is_int(A) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),P_1)) % 3.87/3.86 => inv(P_1,inv(P_1,A)) = A ) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1073_MultInvPair__distinct,axiom, % 3.87/3.86 ! [J_1,A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(J_1,zero_zero_int),P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(quadRes(P_1),A)) % 3.87/3.86 => ~ hBOOL(hAPP_int_bool(zcong(J_1,hAPP_int_int(times_times_int(A),multInv(P_1,J_1))),P_1)) ) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1074_aux______3,axiom, % 3.87/3.86 ! [J_1,K_1,A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(J_1),K_1),A),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(P_1,J_1)),J_1)),K_1),hAPP_int_int(times_times_int(multInv(P_1,J_1)),A)),P_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1075_aux______1,axiom, % 3.87/3.86 ! [J_1,A,P_1,K_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zcong(J_1,hAPP_int_int(times_times_int(A),multInv(P_1,K_1))),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(J_1),K_1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(A),multInv(P_1,K_1))),K_1)),P_1)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1076_inv__distinct,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(minus_minus_int(P_1),one_one_int))) % 3.87/3.86 => A != inv(P_1,A) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1077_inv__not__1,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(minus_minus_int(P_1),one_one_int))) % 3.87/3.86 => inv(P_1,A) != one_one_int ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1078_inv__not__p__minus__1,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(minus_minus_int(P_1),one_one_int))) % 3.87/3.86 => inv(P_1,A) != hAPP_int_int(minus_minus_int(P_1),one_one_int) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1079_inv__g__1,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(minus_minus_int(P_1),one_one_int))) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),inv(P_1,A))) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1080_inv__less__p__minus__1,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(minus_minus_int(P_1),one_one_int))) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,inv(P_1,A)),hAPP_int_int(minus_minus_int(P_1),one_one_int))) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1081_MultInv__prop1,axiom, % 3.87/3.86 ! [X_1,Y_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zcong(X_1,Y_1),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(multInv(P_1,X_1),multInv(P_1,Y_1)),P_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1082_inv__not__0,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(minus_minus_int(P_1),one_one_int))) % 3.87/3.86 => inv(P_1,A) != zero_zero_int ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1083_MultInv__zcong__prop1,axiom, % 3.87/3.86 ! [A,J_1,K_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zcong(J_1,K_1),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),multInv(P_1,J_1)),hAPP_int_int(times_times_int(A),multInv(P_1,K_1))),P_1)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1084_MultInv__prop5,axiom, % 3.87/3.86 ! [Y_1,X_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(Y_1,zero_zero_int),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zcong(multInv(P_1,X_1),multInv(P_1,Y_1)),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(X_1,Y_1),P_1)) ) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1085_MultInv__prop4,axiom, % 3.87/3.86 ! [X_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(multInv(P_1,multInv(P_1,X_1)),X_1),P_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1086_MultInv__prop3,axiom, % 3.87/3.86 ! [X_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.86 => ~ hBOOL(hAPP_int_bool(zcong(multInv(P_1,X_1),zero_zero_int),P_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1087_inv__is__inv,axiom, % 3.87/3.86 ! [A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),inv(P_1,A)),one_one_int),P_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1088_aux______4,axiom, % 3.87/3.86 ! [K_1,A,J_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(J_1,zero_zero_int),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(multInv(P_1,J_1)),J_1)),K_1),hAPP_int_int(times_times_int(multInv(P_1,J_1)),A)),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(K_1,hAPP_int_int(times_times_int(A),multInv(P_1,J_1))),P_1)) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1089_aux______2,axiom, % 3.87/3.86 ! [J_1,A,K_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(K_1,zero_zero_int),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(J_1),K_1),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(A),multInv(P_1,K_1))),K_1)),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(J_1),K_1),A),P_1)) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1090_MultInv__zcong__prop2,axiom, % 3.87/3.86 ! [A,J_1,K_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(K_1,zero_zero_int),P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(J_1,zero_zero_int),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zcong(J_1,hAPP_int_int(times_times_int(A),multInv(P_1,K_1))),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(K_1,hAPP_int_int(times_times_int(A),multInv(P_1,J_1))),P_1)) ) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1091_MultInv__zcong__prop3,axiom, % 3.87/3.86 ! [J_1,K_1,A,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(K_1,zero_zero_int),P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(J_1,zero_zero_int),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),multInv(P_1,J_1)),hAPP_int_int(times_times_int(A),multInv(P_1,K_1))),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(J_1,K_1),P_1)) ) ) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1092_Int2_Oaux____2,axiom, % 3.87/3.86 ! [X_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X_1),multInv(P_1,X_1))),multInv(P_1,multInv(P_1,X_1))),X_1),P_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1093_Int2_Oaux____1,axiom, % 3.87/3.86 ! [X_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(multInv(P_1,multInv(P_1,X_1)),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X_1),multInv(P_1,X_1))),multInv(P_1,multInv(P_1,X_1)))),P_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1094_MultInv__prop2a,axiom, % 3.87/3.86 ! [X_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(multInv(P_1,X_1)),X_1),one_one_int),P_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1095_MultInv__prop2,axiom, % 3.87/3.86 ! [X_1,P_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),P_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(zprime,P_1)) % 3.87/3.86 => ( ~ hBOOL(hAPP_int_bool(zcong(X_1,zero_zero_int),P_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(X_1),multInv(P_1,X_1)),one_one_int),P_1)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1096_wset__mem__inv__mem,axiom, % 3.87/3.86 ! [B_2,A_2,P_3] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_3)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),P_3)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(minus_minus_int(P_3),one_one_int))) % 3.87/3.86 => ( hBOOL(member_int(B_2,wset(A_2,P_3))) % 3.87/3.86 => hBOOL(member_int(inv(P_3,B_2),wset(A_2,P_3))) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1097_wset__inv__mem__mem,axiom, % 3.87/3.86 ! [B_2,A_2,P_3] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_3)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(bit1(bit0(bit1(pls))))),P_3)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(minus_minus_int(P_3),one_one_int))) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_2)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),hAPP_int_int(minus_minus_int(P_3),one_one_int))) % 3.87/3.86 => ( hBOOL(member_int(inv(P_3,B_2),wset(A_2,P_3))) % 3.87/3.86 => hBOOL(member_int(B_2,wset(A_2,P_3))) ) ) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1098_wset__mem__mem,axiom, % 3.87/3.86 ! [P_3,A_2] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2)) % 3.87/3.86 => hBOOL(member_int(A_2,wset(A_2,P_3))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1099_wset__subset,axiom, % 3.87/3.86 ! [B_2,P_3,A_2] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2)) % 3.87/3.86 => ( hBOOL(member_int(B_2,wset(hAPP_int_int(minus_minus_int(A_2),one_one_int),P_3))) % 3.87/3.86 => hBOOL(member_int(B_2,wset(A_2,P_3))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1100_wset__less,axiom, % 3.87/3.86 ! [B_2,A_2,P_3] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_3)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(minus_minus_int(P_3),one_one_int))) % 3.87/3.86 => ( hBOOL(member_int(B_2,wset(A_2,P_3))) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),hAPP_int_int(minus_minus_int(P_3),one_one_int))) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1101_wset__g__1,axiom, % 3.87/3.86 ! [B_2,A_2,P_3] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_3)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(minus_minus_int(P_3),one_one_int))) % 3.87/3.86 => ( hBOOL(member_int(B_2,wset(A_2,P_3))) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1102_wset__mem__imp__or,axiom, % 3.87/3.86 ! [B_2,P_3,A_2] : % 3.87/3.86 ( ( is_int(B_2) % 3.87/3.86 & is_int(A_2) ) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2)) % 3.87/3.86 => ( ~ hBOOL(member_int(B_2,wset(hAPP_int_int(minus_minus_int(A_2),one_one_int),P_3))) % 3.87/3.86 => ( hBOOL(member_int(B_2,wset(A_2,P_3))) % 3.87/3.86 => ( B_2 = A_2 % 3.87/3.86 | B_2 = inv(P_3,A_2) ) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1103_wset__mem,axiom, % 3.87/3.86 ! [B_2,A_2,P_3] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_3)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),hAPP_int_int(minus_minus_int(P_3),one_one_int))) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_2)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_2),A_2)) % 3.87/3.86 => hBOOL(member_int(B_2,wset(A_2,P_3))) ) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1104_int__le__induct,axiom, % 3.87/3.86 ! [P_2,I_2,K] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I_2),K)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,K)) % 3.87/3.86 => ( ! [I] : % 3.87/3.86 ( is_int(I) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,I),K)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,I)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int(I),one_one_int))) ) ) ) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,I_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1105_int__less__induct,axiom, % 3.87/3.86 ! [P_2,I_2,K] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int(K),one_one_int))) % 3.87/3.86 => ( ! [I] : % 3.87/3.86 ( is_int(I) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),K)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,I)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int(I),one_one_int))) ) ) ) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,I_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1106_d22set__induct__old,axiom, % 3.87/3.86 ! [X_2,P_2] : % 3.87/3.86 ( ! [A_3] : % 3.87/3.86 ( is_int(A_3) % 3.87/3.86 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(minus_minus_int(A_3),one_one_int))) ) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,A_3)) ) ) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,X_2)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1107_int__ge__induct,axiom, % 3.87/3.86 ! [P_2,K,I_2] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I_2)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,K)) % 3.87/3.86 => ( ! [I] : % 3.87/3.86 ( is_int(I) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,K),I)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,I)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(plus_plus_int(I),one_one_int))) ) ) ) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,I_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1108_int__gr__induct,axiom, % 3.87/3.86 ! [P_2,K,I_2] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_2)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,hAPP_int_int(plus_plus_int(K),one_one_int))) % 3.87/3.86 => ( ! [I] : % 3.87/3.86 ( is_int(I) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(P_2,I)) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,hAPP_int_int(plus_plus_int(I),one_one_int))) ) ) ) % 3.87/3.86 => hBOOL(hAPP_int_bool(P_2,I_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1109_mono__nat__linear__lb,axiom, % 3.87/3.86 ! [Ma,K,F_1] : % 3.87/3.86 ( ! [M_2,N_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_2),N_2)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F_1,M_2)),hAPP_nat_nat(F_1,N_2))) ) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F_1,Ma)),K)),hAPP_nat_nat(F_1,hAPP_nat_nat(plus_plus_nat(Ma),K)))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1110_d22set__eq__wset,axiom, % 3.87/3.86 ! [P_3] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(zprime,P_3)) % 3.87/3.86 => d22set(hAPP_int_int(minus_minus_int(P_3),number_number_of_int(bit0(bit1(pls))))) = wset(hAPP_int_int(minus_minus_int(P_3),number_number_of_int(bit0(bit1(pls)))),P_3) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1111_ex__least__nat__le,axiom, % 3.87/3.86 ! [N,P_2] : % 3.87/3.86 ( ~ hBOOL(hAPP_nat_bool(P_2,zero_zero_nat)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(P_2,N)) % 3.87/3.86 => ? [K_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,K_2),N)) % 3.87/3.86 & ! [I] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2)) % 3.87/3.86 => ~ hBOOL(hAPP_nat_bool(P_2,I)) ) % 3.87/3.86 & hBOOL(hAPP_nat_bool(P_2,K_2)) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1112_d22set__le,axiom, % 3.87/3.86 ! [B_2,A_2] : % 3.87/3.86 ( hBOOL(member_int(B_2,d22set(A_2))) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_2),A_2)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1113_d22set__le__swap,axiom, % 3.87/3.86 ! [A_2,B_2] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_2)) % 3.87/3.86 => ~ hBOOL(member_int(B_2,d22set(A_2))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1114_d22set__g__1,axiom, % 3.87/3.86 ! [B_2,A_2] : % 3.87/3.86 ( hBOOL(member_int(B_2,d22set(A_2))) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_2)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1115_d22set__mem,axiom, % 3.87/3.86 ! [A_2,B_2] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_2)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B_2),A_2)) % 3.87/3.86 => hBOOL(member_int(B_2,d22set(A_2))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1116_less__imp__add__positive,axiom, % 3.87/3.86 ! [I_1,J_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1)) % 3.87/3.86 => ? [K_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2)) % 3.87/3.86 & hAPP_nat_nat(plus_plus_nat(I_1),K_2) = J_1 ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1117_pow__divides__eq__int,axiom, % 3.87/3.86 ! [A_2,B_2,N] : % 3.87/3.86 ( N != zero_zero_nat % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A_2),N)),hAPP_nat_int(power_power_int(B_2),N))) % 3.87/3.86 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_2),B_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1118_gcd__lcm__complete__lattice__nat_Otop__le,axiom, % 3.87/3.86 ! [A] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A)) % 3.87/3.86 => A = zero_zero_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1119_gcd__lcm__complete__lattice__nat_Otop__unique,axiom, % 3.87/3.86 ! [A_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_2)) % 3.87/3.86 <=> A_2 = zero_zero_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1120_gcd__lcm__complete__lattice__nat_Oless__top,axiom, % 3.87/3.86 ! [A_2] : % 3.87/3.86 ( A_2 != zero_zero_nat % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),zero_zero_nat)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1121_gcd__lcm__complete__lattice__nat_Otop__greatest,axiom, % 3.87/3.86 ! [A] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1122_gcd__lcm__complete__lattice__nat_Onot__top__less,axiom, % 3.87/3.86 ! [A] : % 3.87/3.86 ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1123_gcd__lcm__complete__lattice__nat_Onot__less__bot,axiom, % 3.87/3.86 ! [A] : % 3.87/3.86 ~ ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1124_gcd__lcm__complete__lattice__nat_Obot__least,axiom, % 3.87/3.86 ! [A] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A)) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1125_gcd__lcm__complete__lattice__nat_Obot__less,axiom, % 3.87/3.86 ! [A_2] : % 3.87/3.86 ( A_2 != one_one_nat % 3.87/3.86 <=> ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_2)) % 3.87/3.86 & ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),one_one_nat)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1126_gcd__lcm__complete__lattice__nat_Obot__unique,axiom, % 3.87/3.86 ! [A_2] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),one_one_nat)) % 3.87/3.86 <=> A_2 = one_one_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1127_gcd__lcm__complete__lattice__nat_Ole__bot,axiom, % 3.87/3.86 ! [A] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat)) % 3.87/3.86 => A = one_one_nat ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1128_dvd__pos__nat,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1)) % 3.87/3.86 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1129_pow__divides__eq__nat,axiom, % 3.87/3.86 ! [A_2,B_2,N] : % 3.87/3.86 ( N != zero_zero_nat % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A_2),N)),hAPP_nat_nat(power_power_nat(B_2),N))) % 3.87/3.86 <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_2),B_2)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1130_pow__divides__pow__int,axiom, % 3.87/3.86 ! [A,N_1,B] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A),N_1)),hAPP_nat_int(power_power_int(B),N_1))) % 3.87/3.86 => ( N_1 != zero_zero_nat % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1131_divides__le,axiom, % 3.87/3.86 ! [M,N_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1)) % 3.87/3.86 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,M),N_1)) % 3.87/3.86 | N_1 = zero_zero_nat ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1132_mult__left__cancel,axiom, % 3.87/3.86 ! [N_1,M,K_1] : % 3.87/3.86 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1)) % 3.87/3.86 => ( hAPP_nat_nat(times_times_nat(K_1),N_1) = hAPP_nat_nat(times_times_nat(K_1),M) % 3.87/3.86 => N_1 = M ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1133_SR__def,axiom, % 3.87/3.86 ! [P_3] : sr(P_3) = collect_int(cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int)),cOMBC_int_int_bool(ord_less_int,P_3))) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1134_neg__zmod__mult__2,axiom, % 3.87/3.86 ! [B,A] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int)) % 3.87/3.86 => hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),B))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),A)) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(B),one_one_int)),A))),one_one_int) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1135_zmod__number__of__Bit1,axiom, % 3.87/3.86 ! [V,W] : % 3.87/3.86 ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(W))) % 3.87/3.86 => hAPP_int_int(div_mod_int(number_number_of_int(bit1(V))),number_number_of_int(bit0(W))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(V)),number_number_of_int(W)))),one_one_int) ) % 3.87/3.86 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),number_number_of_int(W))) % 3.87/3.86 => hAPP_int_int(div_mod_int(number_number_of_int(bit1(V))),number_number_of_int(bit0(W))) = hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(number_number_of_int(V)),one_one_int)),number_number_of_int(W)))),one_one_int) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1136_zdvd__iff__zmod__eq__0__number__of,axiom, % 3.87/3.86 ! [X_2,Y_2] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,number_number_of_int(X_2)),number_number_of_int(Y_2))) % 3.87/3.86 <=> hAPP_int_int(div_mod_int(number_number_of_int(Y_2)),number_number_of_int(X_2)) = zero_zero_int ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1137_neg__mod__bound,axiom, % 3.87/3.86 ! [A,B] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),hAPP_int_int(div_mod_int(A),B))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1138_pos__mod__bound,axiom, % 3.87/3.86 ! [A,B] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(A),B)),B)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1139_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 3.87/3.86 ! [Y_1,X_1] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),X_1)) % 3.87/3.86 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_1)) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(X_1),Y_1))) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1140_zmod__le__nonneg__dividend,axiom, % 3.87/3.86 ! [K_1,M] : % 3.87/3.86 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),M)) % 3.87/3.86 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(M),K_1)),M)) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1141_zmod__eq__0__iff,axiom, % 3.87/3.86 ! [Ma,D] : % 3.87/3.86 ( is_int(Ma) % 3.87/3.86 => ( hAPP_int_int(div_mod_int(Ma),D) = zero_zero_int % 3.87/3.86 <=> ? [Q_2] : % 3.87/3.86 ( is_int(Q_2) % 3.87/3.86 & Ma = hAPP_int_int(times_times_int(D),Q_2) ) ) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1142_zmod__eq__dvd__iff,axiom, % 3.87/3.86 ! [X_2,N,Y_2] : % 3.87/3.86 ( hAPP_int_int(div_mod_int(X_2),N) = hAPP_int_int(div_mod_int(Y_2),N) % 3.87/3.86 <=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),hAPP_int_int(minus_minus_int(X_2),Y_2))) ) ). % 3.87/3.86 % 3.87/3.86 fof(fact_1143_Residues_Oaux,axiom, % 3.87/3.86 ! [X_1,M,Y_1] : % 3.87/3.86 ( hAPP_int_int(div_mod_int(X_1),M) = hAPP_int_int(div_mod_int(Y_1),M) % 3.87/3.87 => hBOOL(hAPP_int_bool(zcong(X_1,Y_1),M)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1144_mod__mod__is__mod,axiom, % 3.87/3.87 ! [X_1,M] : hBOOL(hAPP_int_bool(zcong(X_1,hAPP_int_int(div_mod_int(X_1),M)),M)) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1145_zcong__zmod,axiom, % 3.87/3.87 ! [A_2,B_2,Ma] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),Ma)) % 3.87/3.87 <=> hBOOL(hAPP_int_bool(zcong(hAPP_int_int(div_mod_int(A_2),Ma),hAPP_int_int(div_mod_int(B_2),Ma)),Ma)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1146_zdvd__zmod__imp__zdvd,axiom, % 3.87/3.87 ! [K_1,M,N_1] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(div_mod_int(M),N_1))) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N_1)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),M)) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1147_zdvd__zmod,axiom, % 3.87/3.87 ! [N_1,F,M] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F),M)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F),N_1)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F),hAPP_int_int(div_mod_int(M),N_1))) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1148_zpower__zmod,axiom, % 3.87/3.87 ! [X_1,M,Y_1] : hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(hAPP_int_int(div_mod_int(X_1),M)),Y_1)),M) = hAPP_int_int(div_mod_int(hAPP_nat_int(power_power_int(X_1),Y_1)),M) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1149_zmod__zmult1__eq,axiom, % 3.87/3.87 ! [A,B,C] : hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(A),B)),C) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(A),hAPP_int_int(div_mod_int(B),C))),C) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1150_zmod__simps_I3_J,axiom, % 3.87/3.87 ! [A,B,C] : hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(A),hAPP_int_int(div_mod_int(B),C))),C) = hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(A),B)),C) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1151_zmod__self,axiom, % 3.87/3.87 ! [A] : hAPP_int_int(div_mod_int(A),A) = zero_zero_int ). % 3.87/3.87 % 3.87/3.87 fof(fact_1152_zmod__zero,axiom, % 3.87/3.87 ! [B] : hAPP_int_int(div_mod_int(zero_zero_int),B) = zero_zero_int ). % 3.87/3.87 % 3.87/3.87 fof(fact_1153_zdiff__zmod__right,axiom, % 3.87/3.87 ! [X_1,Y_1,M] : hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X_1),hAPP_int_int(div_mod_int(Y_1),M))),M) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X_1),Y_1)),M) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1154_zdiff__zmod__left,axiom, % 3.87/3.87 ! [X_1,M,Y_1] : hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(hAPP_int_int(div_mod_int(X_1),M)),Y_1)),M) = hAPP_int_int(div_mod_int(hAPP_int_int(minus_minus_int(X_1),Y_1)),M) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1155_zmod__minus1__right,axiom, % 3.87/3.87 ! [A] : hAPP_int_int(div_mod_int(A),number_number_of_int(min)) = zero_zero_int ). % 3.87/3.87 % 3.87/3.87 fof(fact_1156_zmod__zdvd__zmod,axiom, % 3.87/3.87 ! [A,B,M] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),B)) % 3.87/3.87 => hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A),B)),M) = hAPP_int_int(div_mod_int(A),M) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1157_zcong__zmod__eq,axiom, % 3.87/3.87 ! [A_2,B_2,Ma] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(zcong(A_2,B_2),Ma)) % 3.87/3.87 <=> hAPP_int_int(div_mod_int(A_2),Ma) = hAPP_int_int(div_mod_int(B_2),Ma) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1158_pos__mod__sign,axiom, % 3.87/3.87 ! [A,B] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(A),B))) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1159_pos__mod__conj,axiom, % 3.87/3.87 ! [A,B] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(A),B))) % 3.87/3.87 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(A),B)),B)) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1160_mod__pos__pos__trivial,axiom, % 3.87/3.87 ! [B,A] : % 3.87/3.87 ( is_int(A) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)) % 3.87/3.87 => hAPP_int_int(div_mod_int(A),B) = A ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1161_neg__mod__sign,axiom, % 3.87/3.87 ! [A,B] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(A),B)),zero_zero_int)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1162_neg__mod__conj,axiom, % 3.87/3.87 ! [A,B] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(A),B)),zero_zero_int)) % 3.87/3.87 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),hAPP_int_int(div_mod_int(A),B))) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1163_mod__neg__neg__trivial,axiom, % 3.87/3.87 ! [B,A] : % 3.87/3.87 ( is_int(A) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)) % 3.87/3.87 => hAPP_int_int(div_mod_int(A),B) = A ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1164_mod__pos__neg__trivial,axiom, % 3.87/3.87 ! [B,A] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A),B)),zero_zero_int)) % 3.87/3.87 => hAPP_int_int(div_mod_int(A),B) = hAPP_int_int(plus_plus_int(A),B) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1165_zmod__number__of__Bit0,axiom, % 3.87/3.87 ! [V,W] : hAPP_int_int(div_mod_int(number_number_of_int(bit0(V))),number_number_of_int(bit0(W))) = hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(number_number_of_int(V)),number_number_of_int(W))) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1166_split__zmod,axiom, % 3.87/3.87 ! [P_2,N,K] : % 3.87/3.87 ( ( is_int(N) % 3.87/3.87 & is_int(K) ) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(P_2,hAPP_int_int(div_mod_int(N),K))) % 3.87/3.87 <=> ( ( K = zero_zero_int % 3.87/3.87 => hBOOL(hAPP_int_bool(P_2,N)) ) % 3.87/3.87 & ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K)) % 3.87/3.87 => ! [I,J] : % 3.87/3.87 ( ( is_int(I) % 3.87/3.87 & is_int(J) ) % 3.87/3.87 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),J)) % 3.87/3.87 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J),K)) % 3.87/3.87 & N = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(K),I)),J) ) % 3.87/3.87 => hBOOL(hAPP_int_bool(P_2,J)) ) ) ) % 3.87/3.87 & ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),zero_zero_int)) % 3.87/3.87 => ! [I,J] : % 3.87/3.87 ( ( is_int(I) % 3.87/3.87 & is_int(J) ) % 3.87/3.87 => ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),J)) % 3.87/3.87 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,J),zero_zero_int)) % 3.87/3.87 & N = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(K),I)),J) ) % 3.87/3.87 => hBOOL(hAPP_int_bool(P_2,J)) ) ) ) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1167_zmult2__lemma__aux3,axiom, % 3.87/3.87 ! [Q_1,B,R_1,C] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),hAPP_int_int(div_mod_int(Q_1),C))),R_1))) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1168_zmult2__lemma__aux4,axiom, % 3.87/3.87 ! [Q_1,B,R_1,C] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),R_1)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_1),B)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),hAPP_int_int(div_mod_int(Q_1),C))),R_1)),hAPP_int_int(times_times_int(B),C))) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1169_zmult2__lemma__aux1,axiom, % 3.87/3.87 ! [Q_1,B,R_1,C] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_1)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,R_1),zero_zero_int)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B),C)),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),hAPP_int_int(div_mod_int(Q_1),C))),R_1))) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1170_zmult2__lemma__aux2,axiom, % 3.87/3.87 ! [Q_1,B,R_1,C] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),R_1)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,R_1),zero_zero_int)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),hAPP_int_int(div_mod_int(Q_1),C))),R_1)),zero_zero_int)) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1171_divmod__int__rel__mod__eq,axiom, % 3.87/3.87 ! [A_1,B_1,Q_3,Y_1] : % 3.87/3.87 ( ( is_int(B_1) % 3.87/3.87 & is_int(Y_1) ) % 3.87/3.87 => ( A_1 = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B_1),Q_3)),Y_1) % 3.87/3.87 => ( ( ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),Y_1)) % 3.87/3.87 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),B_1)) ) ) % 3.87/3.87 & ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)) % 3.87/3.87 => ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),Y_1)) % 3.87/3.87 & hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Y_1),zero_zero_int)) ) ) ) % 3.87/3.87 => ( B_1 != zero_zero_int % 3.87/3.87 => hAPP_int_int(div_mod_int(A_1),B_1) = Y_1 ) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1172_neq__one__mod__two,axiom, % 3.87/3.87 ! [X_2] : % 3.87/3.87 ( hAPP_int_int(div_mod_int(X_2),number_number_of_int(bit0(bit1(pls)))) != zero_zero_int % 3.87/3.87 <=> hAPP_int_int(div_mod_int(X_2),number_number_of_int(bit0(bit1(pls)))) = one_one_int ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1173_zmod__minus1,axiom, % 3.87/3.87 ! [B] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)) % 3.87/3.87 => hAPP_int_int(div_mod_int(number_number_of_int(min)),B) = hAPP_int_int(minus_minus_int(B),one_one_int) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1174_pos__zmod__mult__2,axiom, % 3.87/3.87 ! [B,A] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A)) % 3.87/3.87 => hAPP_int_int(div_mod_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),B))),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),A)) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),hAPP_int_int(div_mod_int(B),A))) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1175_zmod__eq__0D,axiom, % 3.87/3.87 ! [M_1,D_1] : % 3.87/3.87 ( is_int(M_1) % 3.87/3.87 => ( hAPP_int_int(div_mod_int(M_1),D_1) = zero_zero_int % 3.87/3.87 => ? [Q_2] : % 3.87/3.87 ( is_int(Q_2) % 3.87/3.87 & M_1 = hAPP_int_int(times_times_int(D_1),Q_2) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1176_StandardRes__prop4,axiom, % 3.87/3.87 ! [X_1,Y_1,M] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(bit0(bit1(pls)))),M)) % 3.87/3.87 => hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(standardRes(M,X_1)),standardRes(M,Y_1)),hAPP_int_int(times_times_int(X_1),Y_1)),M)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1177_mod__le__divisor,axiom, % 3.87/3.87 ! [M,N_1] : % 3.87/3.87 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.87 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(M),N_1)),N_1)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1178_mod__less__divisor,axiom, % 3.87/3.87 ! [M,N_1] : % 3.87/3.87 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)) % 3.87/3.87 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(M),N_1)),N_1)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1179_mod__eq__0__iff,axiom, % 3.87/3.87 ! [Ma,D] : % 3.87/3.87 ( hAPP_nat_nat(div_mod_nat(Ma),D) = zero_zero_nat % 3.87/3.87 <=> ? [Q_2] : Ma = hAPP_nat_nat(times_times_nat(D),Q_2) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1180_mod__geq,axiom, % 3.87/3.87 ! [M,N_1] : % 3.87/3.87 ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.87 => hAPP_nat_nat(div_mod_nat(M),N_1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),N_1) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1181_mod__if,axiom, % 3.87/3.87 ! [M,N_1] : % 3.87/3.87 ( ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.87 => hAPP_nat_nat(div_mod_nat(M),N_1) = M ) % 3.87/3.87 & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.87 => hAPP_nat_nat(div_mod_nat(M),N_1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),N_1) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1182_mod__mult__self3,axiom, % 3.87/3.87 ! [K_1,N_1,M] : hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(K_1),N_1)),M)),N_1) = hAPP_nat_nat(div_mod_nat(M),N_1) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1183_le__mod__geq,axiom, % 3.87/3.87 ! [N_1,M] : % 3.87/3.87 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,N_1),M)) % 3.87/3.87 => hAPP_nat_nat(div_mod_nat(M),N_1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(M),N_1)),N_1) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1184_StandardRes__def,axiom, % 3.87/3.87 ! [M,X_1] : standardRes(M,X_1) = hAPP_int_int(div_mod_int(X_1),M) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1185_mod__mult__distrib,axiom, % 3.87/3.87 ! [M,N_1,K_1] : hAPP_nat_nat(times_times_nat(hAPP_nat_nat(div_mod_nat(M),N_1)),K_1) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(M),K_1)),hAPP_nat_nat(times_times_nat(N_1),K_1)) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1186_mod__mult__distrib2,axiom, % 3.87/3.87 ! [K_1,M,N_1] : hAPP_nat_nat(times_times_nat(K_1),hAPP_nat_nat(div_mod_nat(M),N_1)) = hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(times_times_nat(K_1),M)),hAPP_nat_nat(times_times_nat(K_1),N_1)) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1187_mod__less,axiom, % 3.87/3.87 ! [M,N_1] : % 3.87/3.87 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)) % 3.87/3.87 => hAPP_nat_nat(div_mod_nat(M),N_1) = M ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1188_mod__less__eq__dividend,axiom, % 3.87/3.87 ! [M,N_1] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(div_mod_nat(M),N_1)),M)) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1189_StandardRes__eq__zcong,axiom, % 3.87/3.87 ! [Ma,X_2] : % 3.87/3.87 ( standardRes(Ma,X_2) = zero_zero_int % 3.87/3.87 <=> hBOOL(hAPP_int_bool(zcong(X_2,zero_zero_int),Ma)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1190_StandardRes__prop3,axiom, % 3.87/3.87 ! [X_2,P_3] : % 3.87/3.87 ( ~ hBOOL(hAPP_int_bool(zcong(X_2,zero_zero_int),P_3)) % 3.87/3.87 <=> standardRes(P_3,X_2) != zero_zero_int ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1191_StandardRes__prop1,axiom, % 3.87/3.87 ! [X_1,M] : hBOOL(hAPP_int_bool(zcong(X_1,standardRes(M,X_1)),M)) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1192_StandardRes__ubound,axiom, % 3.87/3.87 ! [X_1,P_1] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_1)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,standardRes(P_1,X_1)),P_1)) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1193_StandardRes__SR__prop,axiom, % 3.87/3.87 ! [X_2,P_3] : % 3.87/3.87 ( is_int(X_2) % 3.87/3.87 => ( hBOOL(member_int(X_2,sr(P_3))) % 3.87/3.87 => standardRes(P_3,X_2) = X_2 ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1194_split__mod,axiom, % 3.87/3.87 ! [P_2,N,K] : % 3.87/3.87 ( hBOOL(hAPP_nat_bool(P_2,hAPP_nat_nat(div_mod_nat(N),K))) % 3.87/3.87 <=> ( ( K = zero_zero_nat % 3.87/3.87 => hBOOL(hAPP_nat_bool(P_2,N)) ) % 3.87/3.87 & ( K != zero_zero_nat % 3.87/3.87 => ! [I,J] : % 3.87/3.87 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),K)) % 3.87/3.87 => ( N = hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(K),I)),J) % 3.87/3.87 => hBOOL(hAPP_nat_bool(P_2,J)) ) ) ) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1195_mod__lemma,axiom, % 3.87/3.87 ! [Q_1,R_1,B,C] : % 3.87/3.87 ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C)) % 3.87/3.87 => ( hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_1),B)) % 3.87/3.87 => hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(B),hAPP_nat_nat(div_mod_nat(Q_1),C))),R_1)),hAPP_nat_nat(times_times_nat(B),C))) ) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1196_StandardRes__lbound,axiom, % 3.87/3.87 ! [X_1,P_1] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_1)) % 3.87/3.87 => hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),standardRes(P_1,X_1))) ) ). % 3.87/3.87 % 3.87/3.87 fof(fact_1197_StandardRes__prop2,axiom, % 3.87/3.87 ! [X1,X2,Ma] : % 3.87/3.87 ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma)) % 3.87/3.87 => ( standardRes(Ma,X1) = standardRes(Ma,X2) % 3.87/3.87 <=> hBOOL(hAPP_int_bool(zcong(X1,X2),Ma)) ) ) ). % 3.87/3.87 % 3.87/3.87 %----Helper facts (6) % 3.87/3.87 fof(help_fconj_1_1_U,axiom, % 3.87/3.87 ! [Q,P] : % 3.87/3.87 ( ~ hBOOL(P) % 3.87/3.87 | ~ hBOOL(Q) % 3.87/3.87 | hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) ) ). % 3.87/3.87 % 3.87/3.87 fof(help_fconj_2_1_U,axiom, % 3.87/3.87 ! [P,Q] : % 3.87/3.87 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) % 3.87/3.87 | hBOOL(P) ) ). % 3.87/3.87 % 3.87/3.87 fof(help_fconj_3_1_U,axiom, % 3.87/3.87 ! [P,Q] : % 3.87/3.87 ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q)) % 3.87/3.87 | hBOOL(Q) ) ). % 3.87/3.87 % 3.87/3.87 fof(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U,axiom, % 3.87/3.87 ! [P,Q,R] : hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) = hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q) ). % 3.87/3.87 % 3.87/3.87 fof(help_COMBS_1_1_COMBS_000tc__Int__Oint_000tc__HOL__Obool_000tc__HOL__Obool_U,axiom, % 3.87/3.87 ! [P,Q,R] : hAPP_int_bool(cOMBS_int_bool_bool(P,Q),R) = hAPP_bool_bool(hAPP_i68813070l_bool(P,R),hAPP_int_bool(Q,R)) ). % 3.87/3.87 % 3.87/3.87 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,axiom, % 3.87/3.87 ! [P,Q,R] : hAPP_i68813070l_bool(cOMBB_1652995168ol_int(P,Q),R) = hAPP_b589554111l_bool(P,hAPP_int_bool(Q,R)) ). % 3.87/3.87 % 3.87/3.87 %----Conjectures (1) % 3.87/3.87 fof(conj_0,conjecture, % 3.87/3.87 ? [X,Y] : hAPP_int_int(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))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ). % 3.87/3.87 % 3.87/3.87 %------------------------------------------------------------------------------ % 3.87/3.87 %------------------------------------------- % 3.87/3.87 % Proof found % 3.87/3.87 % SZS status Theorem for theBenchmark % 3.87/3.87 % SZS output start Proof % 3.87/3.87 %ClaNum:1892(EqnAxiom:158) % 3.87/3.87 %VarNum:7456(SingletonVarNum:2879) % 3.87/3.87 %MaxLitNum:9 % 3.87/3.87 %MaxfuncDepth:14 % 3.87/3.87 %SharedTerms:318 % 3.87/3.87 %goalClause: 617 % 3.87/3.87 %singleGoalClaCount:1 % 3.87/3.87 [159]E(a1,a89) % 3.87/3.87 [170]P1(a80) % 3.87/3.87 [171]P1(a89) % 3.87/3.87 [172]P1(a4) % 3.87/3.87 [173]P1(a1) % 3.87/3.87 [174]P1(a5) % 3.87/3.87 [175]P1(a90) % 3.87/3.87 [176]P1(a91) % 3.87/3.87 [177]P1(a100) % 3.87/3.87 [178]P1(a6) % 3.87/3.87 [179]P1(a52) % 3.87/3.87 [180]P1(a53) % 3.87/3.87 [181]P1(a54) % 3.87/3.87 [581]~E(a80,a89) % 3.87/3.87 [583]~E(a4,a1) % 3.87/3.87 [585]~E(a81,a109) % 3.87/3.87 [588]~E(a82,a110) % 3.87/3.87 [165]E(f2(a1),a89) % 3.87/3.87 [167]E(f79(a1),a109) % 3.87/3.87 [169]E(f3(a1),a110) % 3.87/3.87 [182]P1(f101(a56)) % 3.87/3.87 [589]~E(f2(a4),f2(a1)) % 3.87/3.87 [184]E(f57(f92(a1),a1),a1) % 3.87/3.87 [249]P3(f62(f58(a83,a80),a100)) % 3.87/3.87 [250]P3(f62(f58(a83,a89),a80)) % 3.87/3.87 [252]P3(f62(f58(a83,a89),a91)) % 3.87/3.87 [253]P3(f62(f58(a83,a89),a52)) % 3.87/3.87 [254]P3(f62(f58(a83,a89),a53)) % 3.87/3.87 [256]P3(f62(f58(a83,a4),a1)) % 3.87/3.87 [258]P3(f62(f58(a84,a89),a80)) % 3.87/3.87 [259]P3(f62(f58(a84,a4),a89)) % 3.87/3.87 [260]P3(f62(f58(a84,a4),a1)) % 3.87/3.87 [279]P3(f62(f58(a83,a89),f2(a1))) % 3.87/3.87 [573]P3(f62(f99(f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),f2(a4))) % 3.87/3.87 [592]~P3(f62(f58(a83,a1),a4)) % 3.87/3.87 [593]~P3(f62(f58(a84,a4),a4)) % 3.87/3.87 [594]~P3(f62(f58(a84,a1),a89)) % 3.87/3.87 [595]~P3(f62(f58(a84,a1),a4)) % 3.87/3.87 [596]~P3(f62(f58(a84,a1),a1)) % 3.87/3.87 [575]P3(f62(f58(a12,f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),f57(f76(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f2(a4)))) % 3.87/3.87 [280]E(f57(f92(f57(f92(a80),a4)),a4),a4) % 3.87/3.87 [362]E(f2(f57(f92(f57(f92(a80),a1)),a1)),a80) % 3.87/3.87 [364]E(f79(f57(f92(f57(f92(a80),a1)),a1)),a81) % 3.87/3.87 [366]E(f3(f57(f92(f57(f92(a80),a1)),a1)),a82) % 3.87/3.87 [484]E(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(a80),a80)) % 3.87/3.87 [486]E(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f67(f94(a81),a81)) % 3.87/3.87 [488]E(f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f68(f95(a82),a82)) % 3.87/3.87 [491]E(f64(f93(a89),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a89) % 3.87/3.87 [493]E(f67(f96(a109),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a109) % 3.87/3.87 [495]E(f69(f97(a110),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a110) % 3.87/3.87 [515]P3(f62(a111,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [522]P3(f62(f58(a83,a89),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [523]P3(f65(f66(a87,a109),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [525]P3(f62(f58(a83,a89),f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [541]E(f57(f76(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f2(a4)),f57(f92(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a80)) % 3.87/3.87 [574]P3(f62(f58(a12,f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),f57(f92(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a80))) % 3.87/3.87 [556]E(f72(f2(a4),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),a80) % 3.87/3.87 [557]P3(f62(a111,f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [559]P3(f62(f58(a84,a89),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [560]P3(f62(f58(a84,a91),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [561]P3(f62(f58(a84,a100),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [562]P3(f62(f58(a84,a52),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [563]P3(f62(f58(a84,a53),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [564]P3(f62(f107(a90,a91),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [565]P3(f62(f107(a90,a52),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [566]P3(f62(f107(a90,a53),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [569]P3(f62(f107(f64(f93(a90),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f2(a4)),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [570]P3(f62(f107(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f2(a4)),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [571]P3(f62(f107(f64(f93(a54),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f2(a4)),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [572]P3(f62(f107(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f64(f93(a90),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.87 [558]E(f57(f103(f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),a100),f102(f98(a91,a80))) % 3.87/3.87 [567]E(f57(f103(f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),a100),f57(f92(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a80)) % 3.87/3.87 [568]E(f57(f103(f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),a6),f57(f92(f64(f93(a91),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a80)) % 3.87/3.87 [576]P3(f62(a106,f57(f103(f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)),a100))) % 3.87/3.87 [183]P1(f102(x1831)) % 3.87/3.87 [186]E(f57(f103(a89),x1861),a89) % 3.87/3.87 [187]E(f57(f103(a1),x1871),a1) % 3.87/3.87 [188]E(f57(f7(a89),x1881),a89) % 3.87/3.87 [189]E(f64(f93(a80),x1891),a80) % 3.87/3.87 [190]E(f67(f96(a81),x1901),a81) % 3.87/3.87 [193]E(f67(f104(a109),x1931),a109) % 3.87/3.87 [194]E(f67(f75(a109),x1941),a109) % 3.87/3.87 [196]E(f68(f105(a110),x1961),a110) % 3.87/3.87 [197]E(f69(f97(a82),x1971),a82) % 3.87/3.87 [199]E(f67(f94(a109),x1991),x1991) % 3.87/3.87 [201]E(f67(f104(a81),x2011),x2011) % 3.87/3.87 [202]E(f68(f95(a110),x2021),x2021) % 3.87/3.87 [204]E(f68(f105(a82),x2041),x2041) % 3.87/3.87 [206]E(f57(f103(x2061),a89),a89) % 3.87/3.87 [208]E(f64(f93(x2081),a109),a80) % 3.87/3.87 [210]E(f67(f96(x2101),a109),a81) % 3.87/3.87 [213]E(f67(f104(x2131),a109),a109) % 3.87/3.87 [215]E(f68(f105(x2151),a110),a110) % 3.87/3.87 [217]E(f69(f97(x2171),a109),a82) % 3.87/3.87 [219]E(f67(f94(x2191),a109),x2191) % 3.87/3.87 [221]E(f67(f96(x2211),a81),x2211) % 3.87/3.87 [223]E(f67(f104(x2231),a81),x2231) % 3.87/3.87 [224]E(f67(f75(x2241),a109),x2241) % 3.87/3.87 [225]E(f68(f95(x2251),a110),x2251) % 3.87/3.87 [226]E(f68(f105(x2261),a82),x2261) % 3.87/3.87 [228]E(f69(f97(x2281),a81),x2281) % 3.87/3.87 [229]E(f57(f7(x2291),x2291),a89) % 3.87/3.87 [230]E(f67(f75(x2301),x2301),a109) % 3.87/3.87 [231]E(f57(f7(x2311),f2(a4)),a89) % 3.87/3.87 [232]E(f68(f95(x2321),f3(a1)),x2321) % 3.87/3.87 [261]P3(f62(f58(a12,a80),x2611)) % 3.87/3.87 [263]P3(f65(f66(a85,a109),x2631)) % 3.87/3.87 [265]P3(f65(f66(a14,a81),x2651)) % 3.87/3.87 [266]P3(f70(f71(a15,a82),x2661)) % 3.87/3.87 [267]P3(f62(f58(a12,x2671),a89)) % 3.87/3.87 [269]P3(f65(f66(a14,x2691),a109)) % 3.87/3.87 [270]P3(f70(f71(a15,x2701),a110)) % 3.87/3.87 [271]P3(f62(f107(x2711,a89),x2711)) % 3.87/3.87 [272]P3(f62(f58(a83,x2721),x2721)) % 3.87/3.87 [273]P3(f62(f58(a12,x2731),x2731)) % 3.87/3.87 [274]P3(f65(f66(a85,x2741),x2741)) % 3.87/3.87 [276]P3(f65(f66(a14,x2761),x2761)) % 3.87/3.87 [277]P3(f70(f71(a86,x2771),x2771)) % 3.87/3.87 [278]P3(f70(f71(a15,x2781),x2781)) % 3.87/3.87 [591]~E(f57(f92(x5911),x5911),a4) % 3.87/3.87 [599]~P3(f65(f66(a87,x5991),a109)) % 3.87/3.87 [601]~P3(f65(f66(a87,x6011),x6011)) % 3.87/3.87 [233]E(f68(f95(f3(a1)),x2331),x2331) % 3.87/3.87 [311]E(f57(f103(f57(f92(a80),a80)),f2(x3111)),f2(f57(f92(x3111),x3111))) % 3.87/3.87 [312]E(f68(f105(f68(f95(a82),a82)),f3(x3121)),f3(f57(f92(x3121),x3121))) % 3.87/3.87 [313]P3(f62(f58(a83,a89),f57(f103(x3131),x3131))) % 3.87/3.87 [314]P3(f70(f71(a86,a110),f68(f105(x3141),x3141))) % 3.87/3.87 [322]P3(f65(f66(a85,x3221),f67(f104(x3221),x3221))) % 3.87/3.87 [367]E(f57(f92(f57(f92(a89),f2(x3671))),f2(x3671)),f2(f57(f92(x3671),x3671))) % 3.87/3.87 [368]E(f68(f95(f68(f95(a110),f3(x3681))),f3(x3681)),f3(f57(f92(x3681),x3681))) % 3.87/3.87 [369]E(f57(f92(f57(f76(a1),x3691)),f57(f76(a1),x3691)),f57(f76(a1),f57(f92(x3691),x3691))) % 3.87/3.87 [452]E(f57(f92(f57(f92(a80),f57(f76(a4),x4521))),f57(f76(a4),x4521)),f57(f76(a4),f57(f92(x4521),x4521))) % 3.87/3.87 [299]E(f57(f92(x2991),x2991),f57(f103(f57(f92(a80),a80)),x2991)) % 3.87/3.87 [300]E(f67(f94(x3001),x3001),f67(f104(f67(f94(a81),a81)),x3001)) % 3.87/3.87 [301]E(f68(f95(x3011),x3011),f68(f105(f68(f95(a82),a82)),x3011)) % 3.87/3.87 [454]P3(f65(f66(a85,x4541),f67(f104(x4541),f67(f104(x4541),x4541)))) % 3.87/3.87 [603]~E(f57(f92(f57(f92(a80),x6031)),x6031),a89) % 3.87/3.87 [604]~E(f57(f92(f57(f92(a80),x6041)),x6041),a1) % 3.87/3.87 [607]~P3(f62(f58(a84,f57(f103(x6071),x6071)),a89)) % 3.87/3.87 [608]~P3(f70(f71(a88,f68(f105(x6081),x6081)),a110)) % 3.87/3.87 [450]E(f57(f92(f57(f92(a80),f2(x4501))),f2(x4501)),f2(f57(f92(f57(f92(a80),x4501)),x4501))) % 3.87/3.87 [451]E(f68(f95(f68(f95(a82),f3(x4511))),f3(x4511)),f3(f57(f92(f57(f92(a80),x4511)),x4511))) % 3.87/3.87 [453]E(f57(f92(f57(f76(a4),x4531)),f57(f76(a4),x4531)),f57(f76(a4),f57(f92(f57(f92(a80),x4531)),x4531))) % 3.87/3.87 [466]E(f57(f92(f57(f92(a80),f57(f76(a4),x4661))),f57(f76(a4),x4661)),f57(f76(a1),f57(f92(f57(f92(a80),x4661)),x4661))) % 3.87/3.87 [455]E(f68(f105(x4551),f3(f57(f92(f57(f92(a80),a1)),a1))),x4551) % 3.87/3.87 [462]E(f2(f57(f92(x4621),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f2(x4621)),a80)) % 3.87/3.87 [463]E(f3(f57(f92(x4631),f57(f92(f57(f92(a80),a1)),a1))),f68(f95(f3(x4631)),a82)) % 3.87/3.87 [472]E(f68(f105(f3(f57(f92(f57(f92(a80),a1)),a1))),x4721),x4721) % 3.87/3.87 [476]E(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),x4761)),f57(f92(a80),f2(x4761))) % 3.87/3.87 [477]E(f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),x4771)),f68(f95(a82),f3(x4771))) % 3.87/3.87 [496]E(f57(f103(x4961),x4961),f64(f93(x4961),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [497]E(f67(f104(x4971),x4971),f67(f96(x4971),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [498]E(f68(f105(x4981),x4981),f69(f97(x4981),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [500]E(f57(f103(x5001),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f92(x5001),x5001)) % 3.87/3.87 [501]E(f64(f93(x5011),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f103(x5011),x5011)) % 3.87/3.87 [502]E(f67(f96(x5021),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f67(f104(x5021),x5021)) % 3.87/3.87 [504]E(f67(f104(x5041),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f67(f94(x5041),x5041)) % 3.87/3.87 [506]E(f68(f105(x5061),f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f68(f95(x5061),x5061)) % 3.87/3.87 [507]E(f69(f97(x5071),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f68(f105(x5071),x5071)) % 3.87/3.87 [512]E(f64(f93(x5121),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1)))),f57(f103(f57(f103(x5121),x5121)),x5121)) % 3.87/3.87 [513]E(f67(f96(x5131),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1)))),f67(f104(f67(f104(x5131),x5131)),x5131)) % 3.87/3.87 [514]E(f69(f97(x5141),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1)))),f68(f105(f68(f105(x5141),x5141)),x5141)) % 3.87/3.87 [517]E(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5171),f57(f92(x5171),x5171)) % 3.87/3.87 [519]E(f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5191),f67(f94(x5191),x5191)) % 3.87/3.87 [521]E(f68(f105(f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5211),f68(f95(x5211),x5211)) % 3.87/3.87 [526]E(f57(f103(x5261),f64(f93(x5261),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x5261),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [529]P3(f62(f58(a83,a89),f64(f93(x5291),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [530]P3(f70(f71(a86,a110),f69(f97(x5301),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [531]P3(f62(f58(a83,x5311),f64(f93(x5311),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [542]E(f64(f93(f64(f93(x5421),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f64(f93(x5421),f79(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [545]E(f68(f105(f3(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x5451),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(f68(f105(f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5451)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [527]E(f64(f93(f2(a4)),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5271)),a80) % 3.87/3.87 [528]E(f69(f97(f3(a4)),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5281)),a82) % 3.87/3.87 [540]P3(f70(f71(a86,a82),f69(f97(f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5401))) % 3.87/3.87 [613]~P3(f62(f58(a84,f64(f93(x6131),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a89)) % 3.87/3.87 [614]~P3(f70(f71(a88,f69(f97(x6141),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a110)) % 3.87/3.87 [234]P1(f64(x2341,x2342)) % 3.87/3.87 [235]P2(f65(x2351,x2352)) % 3.87/3.87 [236]P2(f70(x2361,x2362)) % 3.87/3.87 [238]E(f57(f92(x2381),x2382),f57(f92(x2382),x2381)) % 3.87/3.87 [240]E(f57(f103(x2401),x2402),f57(f103(x2402),x2401)) % 3.87/3.87 [242]E(f67(f94(x2421),x2422),f67(f94(x2422),x2421)) % 3.87/3.87 [244]E(f67(f104(x2441),x2442),f67(f104(x2442),x2441)) % 3.87/3.87 [245]E(f68(f95(x2451),x2452),f68(f95(x2452),x2451)) % 3.87/3.87 [247]E(f68(f105(x2471),x2472),f68(f105(x2472),x2471)) % 3.87/3.87 [281]P3(f62(f107(x2811,x2812),a80)) % 3.87/3.87 [296]P3(f62(f107(x2961,x2961),x2962)) % 3.87/3.87 [248]E(f67(f75(x2481),f67(f94(x2481),x2482)),a109) % 3.87/3.87 [286]E(f57(f76(f2(x2861)),f2(x2862)),f2(f57(f76(x2861),x2862))) % 3.87/3.87 [289]E(f68(f77(f3(x2891)),f3(x2892)),f3(f57(f76(x2891),x2892))) % 3.87/3.87 [291]E(f57(f92(f2(x2911)),f2(x2912)),f2(f57(f92(x2911),x2912))) % 3.87/3.87 [293]E(f57(f103(f2(x2931)),f2(x2932)),f2(f57(f103(x2931),x2932))) % 3.87/3.87 [294]E(f68(f95(f3(x2941)),f3(x2942)),f3(f57(f92(x2941),x2942))) % 3.87/3.87 [295]E(f68(f105(f3(x2951)),f3(x2952)),f3(f57(f103(x2951),x2952))) % 3.87/3.87 [318]P3(f62(f58(a12,x3181),f57(f103(x3182),x3181))) % 3.87/3.87 [319]P3(f62(f58(a12,x3191),f57(f103(x3191),x3192))) % 3.87/3.87 [320]P3(f65(f66(a85,x3201),f67(f94(x3202),x3201))) % 3.87/3.87 [321]P3(f65(f66(a85,x3211),f67(f94(x3211),x3212))) % 3.87/3.87 [323]P3(f65(f66(a14,x3231),f67(f104(x3232),x3231))) % 3.87/3.87 [324]P3(f65(f66(a14,x3241),f67(f104(x3241),x3242))) % 3.87/3.87 [325]P3(f70(f71(a15,x3251),f68(f105(x3252),x3251))) % 3.87/3.87 [326]P3(f70(f71(a15,x3261),f68(f105(x3261),x3262))) % 3.87/3.87 [474]E(f57(f92(f57(f92(f57(f92(a80),x4741)),x4741)),f57(f92(x4742),x4742)),f57(f92(f57(f92(a80),f57(f92(x4741),x4742))),f57(f92(x4741),x4742))) % 3.87/3.87 [475]E(f57(f76(f57(f92(f57(f92(a80),x4751)),x4751)),f57(f92(x4752),x4752)),f57(f92(f57(f92(a80),f57(f76(x4751),x4752))),f57(f76(x4751),x4752))) % 3.87/3.87 [297]E(f67(f75(f67(f94(x2971),x2972)),x2972),x2971) % 3.87/3.87 [298]E(f67(f75(f67(f94(x2981),x2982)),x2981),x2982) % 3.87/3.87 [315]E(f57(f92(x3151),f57(f103(x3152),x3151)),f57(f103(f57(f92(x3152),a80)),x3151)) % 3.87/3.87 [316]E(f67(f94(x3161),f67(f104(x3162),x3161)),f67(f104(f67(f94(x3162),a81)),x3161)) % 3.87/3.87 [317]E(f68(f95(x3171),f68(f105(x3172),x3171)),f68(f105(f68(f95(x3172),a82)),x3171)) % 3.87/3.87 [370]E(f57(f92(f57(f103(x3701),x3702)),x3702),f57(f103(f57(f92(x3701),a80)),x3702)) % 3.87/3.87 [371]E(f67(f94(f67(f104(x3711),x3712)),x3712),f67(f104(f67(f94(x3711),a81)),x3712)) % 3.87/3.87 [372]E(f68(f95(f68(f105(x3721),x3722)),x3722),f68(f105(f68(f95(x3721),a82)),x3722)) % 3.87/3.87 [395]P3(f65(f66(a85,f67(f75(x3951),x3952)),x3951)) % 3.87/3.87 [396]P3(f65(f66(a85,f67(f13(x3961),x3962)),x3961)) % 3.87/3.87 [420]P3(f62(f107(x4201,f57(f7(x4201),x4202)),x4202)) % 3.87/3.87 [470]P3(f62(f58(a83,a89),f57(f92(f57(f103(x4701),x4701)),f57(f103(x4702),x4702)))) % 3.87/3.87 [471]P3(f70(f71(a86,a110),f68(f95(f68(f105(x4711),x4711)),f68(f105(x4712),x4712)))) % 3.87/3.87 [524]E(f57(f7(f2(f57(f92(x5241),x5241))),f2(f57(f92(x5242),x5242))),f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f7(f2(x5241)),f2(x5242)))) % 3.87/3.87 [606]~E(f57(f92(f57(f92(a80),x6061)),x6061),f57(f92(x6062),x6062)) % 3.87/3.87 [609]~P3(f65(f66(a87,f67(f94(x6091),x6092)),x6092)) % 3.87/3.87 [610]~P3(f65(f66(a87,f67(f94(x6101),x6102)),x6101)) % 3.87/3.87 [469]E(f57(f92(f57(f92(x4691),x4691)),f57(f92(f57(f92(a80),x4692)),x4692)),f57(f92(f57(f92(a80),f57(f92(x4691),x4692))),f57(f92(x4691),x4692))) % 3.87/3.87 [473]E(f57(f76(f57(f92(f57(f92(a80),x4731)),x4731)),f57(f92(f57(f92(a80),x4732)),x4732)),f57(f92(f57(f76(x4731),x4732)),f57(f76(x4731),x4732))) % 3.87/3.87 [611]~P3(f62(f58(a84,f57(f92(f57(f103(x6111),x6111)),f57(f103(x6112),x6112))),a89)) % 3.87/3.87 [612]~P3(f70(f71(a88,f68(f95(f68(f105(x6121),x6121)),f68(f105(x6122),x6122))),a110)) % 3.87/3.87 [482]E(f57(f92(f57(f92(f57(f103(x4821),x4822)),f57(f103(x4821),x4822))),x4822),f57(f103(f57(f92(f57(f92(a80),x4821)),x4821)),x4822)) % 3.87/3.87 [538]E(f57(f103(f57(f92(x5381),x5382)),f57(f76(x5381),x5382)),f57(f76(f64(f93(x5381),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x5382),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [539]E(f67(f75(f67(f96(x5391),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f67(f96(x5392),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f67(f104(f67(f94(x5391),x5392)),f67(f75(x5391),x5392))) % 3.87/3.87 [554]E(f57(f92(f57(f92(f64(f93(x5541),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f57(f103(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5541)),x5542))),f64(f93(x5542),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(f57(f92(x5541),x5542)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [555]E(f57(f92(f57(f76(f64(f93(x5551),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f57(f103(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5551)),x5552))),f64(f93(x5552),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(f57(f76(x5551),x5552)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [577]E(f57(f92(f57(f92(f57(f92(f64(f93(x5771),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))),f57(f103(f57(f103(f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1)))),f64(f93(x5771),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),x5772))),f57(f103(f57(f103(f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1)))),x5771)),f64(f93(x5772),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))),f64(f93(x5772),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(f57(f92(x5771),x5772)),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [578]E(f57(f76(f57(f92(f57(f76(f64(f93(x5781),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))),f57(f103(f57(f103(f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1)))),f64(f93(x5781),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),x5782))),f57(f103(f57(f103(f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1)))),x5781)),f64(f93(x5782),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))),f64(f93(x5782),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(f57(f76(x5781),x5782)),f79(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [532]E(f64(f93(x5321),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5322)),f57(f103(f64(f93(x5321),x5322)),f64(f93(x5321),x5322))) % 3.87/3.87 [533]E(f67(f96(x5331),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5332)),f67(f104(f67(f96(x5331),x5332)),f67(f96(x5331),x5332))) % 3.87/3.87 [534]E(f69(f97(x5341),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5342)),f68(f105(f69(f97(x5341),x5342)),f69(f97(x5341),x5342))) % 3.87/3.87 [535]E(f64(f93(f64(f93(x5351),x5352)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f64(f93(x5351),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5352))) % 3.87/3.87 [536]E(f67(f96(f67(f96(x5361),x5362)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f67(f96(x5361),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5362))) % 3.87/3.87 [537]E(f69(f97(f69(f97(x5371),x5372)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f69(f97(x5371),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5372))) % 3.87/3.87 [546]P3(f62(f58(a83,a89),f57(f92(f64(f93(x5461),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x5462),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.87 [547]P3(f70(f71(a86,a110),f68(f95(f69(f97(x5471),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x5472),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.87 [543]P3(f62(f58(a83,a89),f64(f93(x5431),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5432)))) % 3.87/3.87 [544]P3(f70(f71(a86,a110),f69(f97(x5441),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5442)))) % 3.87/3.87 [615]~P3(f62(f58(a84,f57(f92(f64(f93(x6151),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x6152),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a89)) % 3.87/3.87 [616]~P3(f70(f71(a88,f68(f95(f69(f97(x6161),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x6162),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a110)) % 3.87/3.87 [548]E(f57(f92(f57(f92(f64(f93(x5481),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x5482),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),f57(f103(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5481)),x5482)),f64(f93(f57(f92(x5481),x5482)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [549]E(f57(f76(f57(f92(f64(f93(x5491),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x5492),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),f57(f103(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5491)),x5492)),f64(f93(f57(f76(x5491),x5492)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [550]E(f67(f94(f67(f94(f67(f96(x5501),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f67(f96(x5502),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),f67(f104(f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5501)),x5502)),f67(f96(f67(f94(x5501),x5502)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [552]E(f68(f95(f68(f95(f69(f97(x5521),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x5522),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),f68(f105(f68(f105(f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5521)),x5522)),f69(f97(f68(f95(x5521),x5522)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [553]E(f68(f77(f68(f95(f69(f97(x5531),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x5532),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),f68(f105(f68(f105(f3(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x5531)),x5532)),f69(f97(f68(f77(x5531),x5532)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.87 [617]~E(f57(f92(f64(f93(x6171),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x6172),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)) % 3.87/3.87 [282]E(f59(x2821,f62(x2822,x2823)),f63(f8(x2821,x2822),x2823)) % 3.87/3.87 [283]E(f62(f9(x2831,x2832),x2833),f62(f58(x2831,x2833),x2832)) % 3.87/3.87 [302]E(f61(f63(x3021,x3022),f62(x3023,x3022)),f62(f10(x3021,x3023),x3022)) % 3.87/3.87 [304]E(f57(f92(x3041),f57(f92(x3042),x3043)),f57(f92(x3042),f57(f92(x3041),x3043))) % 3.87/3.87 [305]E(f57(f103(x3051),f57(f103(x3052),x3053)),f57(f103(x3052),f57(f103(x3051),x3053))) % 3.87/3.87 [307]E(f67(f94(x3071),f67(f94(x3072),x3073)),f67(f94(x3072),f67(f94(x3071),x3073))) % 3.87/3.87 [308]E(f67(f104(x3081),f67(f104(x3082),x3083)),f67(f104(x3082),f67(f104(x3081),x3083))) % 3.87/3.87 [309]E(f68(f95(x3091),f68(f95(x3092),x3093)),f68(f95(x3092),f68(f95(x3091),x3093))) % 3.87/3.87 [310]E(f68(f105(x3101),f68(f105(x3102),x3103)),f68(f105(x3102),f68(f105(x3101),x3103))) % 3.87/3.87 [355]E(f67(f75(f67(f94(x3551),x3552)),f67(f94(x3553),x3552)),f67(f75(x3551),x3553)) % 3.87/3.87 [356]E(f67(f75(f67(f94(x3561),x3562)),f67(f94(x3561),x3563)),f67(f75(x3562),x3563)) % 3.87/3.87 [381]E(f57(f92(f57(f103(x3811),x3812)),f57(f103(x3811),x3813)),f57(f103(x3811),f57(f92(x3812),x3813))) % 3.87/3.87 [382]E(f57(f76(f57(f103(x3821),x3822)),f57(f103(x3821),x3823)),f57(f103(x3821),f57(f76(x3822),x3823))) % 3.87/3.87 [387]E(f67(f94(f67(f104(x3871),x3872)),f67(f104(x3871),x3873)),f67(f104(x3871),f67(f94(x3872),x3873))) % 3.87/3.87 [388]E(f67(f75(f67(f104(x3881),x3882)),f67(f104(x3881),x3883)),f67(f104(x3881),f67(f75(x3882),x3883))) % 3.87/3.87 [389]E(f67(f13(f67(f104(x3891),x3892)),f67(f104(x3891),x3893)),f67(f104(x3891),f67(f13(x3892),x3893))) % 3.87/3.87 [390]E(f68(f95(f68(f105(x3901),x3902)),f68(f105(x3901),x3903)),f68(f105(x3901),f68(f95(x3902),x3903))) % 3.87/3.87 [392]E(f57(f103(f64(f93(x3921),x3922)),f64(f93(x3921),x3923)),f64(f93(x3921),f67(f94(x3922),x3923))) % 3.87/3.87 [393]E(f67(f104(f67(f96(x3931),x3932)),f67(f96(x3931),x3933)),f67(f96(x3931),f67(f94(x3932),x3933))) % 3.87/3.87 [394]E(f68(f105(f69(f97(x3941),x3942)),f69(f97(x3941),x3943)),f69(f97(x3941),f67(f94(x3942),x3943))) % 3.87/3.87 [438]E(f68(f77(f68(f105(x4381),f3(x4382))),f68(f105(x4383),f3(x4382))),f68(f105(f68(f77(x4381),x4383)),f3(x4382))) % 3.87/3.87 [337]E(f57(f92(f57(f92(x3371),x3372)),x3373),f57(f92(x3371),f57(f92(x3372),x3373))) % 3.87/3.87 [339]E(f57(f103(f57(f103(x3391),x3392)),x3393),f57(f103(x3391),f57(f103(x3392),x3393))) % 3.87/3.87 [342]E(f64(f93(f64(f93(x3421),x3422)),x3423),f64(f93(x3421),f67(f104(x3422),x3423))) % 3.87/3.87 [344]E(f67(f94(f67(f94(x3441),x3442)),x3443),f67(f94(x3441),f67(f94(x3442),x3443))) % 3.87/3.87 [345]E(f67(f96(f67(f96(x3451),x3452)),x3453),f67(f96(x3451),f67(f104(x3452),x3453))) % 3.87/3.87 [348]E(f67(f104(f67(f104(x3481),x3482)),x3483),f67(f104(x3481),f67(f104(x3482),x3483))) % 3.87/3.87 [349]E(f67(f75(f67(f75(x3491),x3492)),x3493),f67(f75(x3491),f67(f94(x3492),x3493))) % 3.87/3.87 [350]E(f68(f95(f68(f95(x3501),x3502)),x3503),f68(f95(x3501),f68(f95(x3502),x3503))) % 3.87/3.87 [352]E(f68(f105(f68(f105(x3521),x3522)),x3523),f68(f105(x3521),f68(f105(x3522),x3523))) % 3.87/3.87 [354]E(f69(f97(f69(f97(x3541),x3542)),x3543),f69(f97(x3541),f67(f104(x3542),x3543))) % 3.87/3.87 [373]E(f57(f92(f57(f92(x3731),x3732)),x3733),f57(f92(f57(f92(x3731),x3733)),x3732)) % 3.87/3.87 [374]E(f57(f103(f57(f103(x3741),x3742)),x3743),f57(f103(f57(f103(x3741),x3743)),x3742)) % 3.87/3.87 [375]E(f67(f94(f67(f94(x3751),x3752)),x3753),f67(f94(f67(f94(x3751),x3753)),x3752)) % 3.87/3.87 [376]E(f67(f104(f67(f104(x3761),x3762)),x3763),f67(f104(f67(f104(x3761),x3763)),x3762)) % 3.87/3.87 [377]E(f67(f75(f67(f75(x3771),x3772)),x3773),f67(f75(f67(f75(x3771),x3773)),x3772)) % 3.87/3.87 [378]E(f68(f95(f68(f95(x3781),x3782)),x3783),f68(f95(f68(f95(x3781),x3783)),x3782)) % 3.87/3.87 [379]E(f68(f105(f68(f105(x3791),x3792)),x3793),f68(f105(f68(f105(x3791),x3793)),x3792)) % 3.87/3.87 [401]E(f57(f76(f57(f103(x4011),x4012)),f57(f103(x4013),x4012)),f57(f103(f57(f76(x4011),x4013)),x4012)) % 3.87/3.87 [403]E(f57(f103(f64(f93(x4031),x4032)),f64(f93(x4033),x4032)),f64(f93(f57(f103(x4031),x4033)),x4032)) % 3.87/3.87 [405]E(f67(f104(f67(f96(x4051),x4052)),f67(f96(x4053),x4052)),f67(f96(f67(f104(x4051),x4053)),x4052)) % 3.87/3.87 [409]E(f67(f75(f67(f104(x4091),x4092)),f67(f104(x4093),x4092)),f67(f104(f67(f75(x4091),x4093)),x4092)) % 3.87/3.87 [410]E(f67(f13(f67(f104(x4101),x4102)),f67(f104(x4103),x4102)),f67(f104(f67(f13(x4101),x4103)),x4102)) % 3.87/3.87 [415]E(f68(f105(f69(f97(x4151),x4152)),f69(f97(x4153),x4152)),f69(f97(f68(f105(x4151),x4153)),x4152)) % 3.87/3.87 [416]E(f57(f92(f57(f103(x4161),x4162)),f57(f103(x4163),x4162)),f57(f103(f57(f92(x4161),x4163)),x4162)) % 3.87/3.87 [417]E(f67(f94(f67(f104(x4171),x4172)),f67(f104(x4173),x4172)),f67(f104(f67(f94(x4171),x4173)),x4172)) % 3.87/3.87 [418]E(f68(f95(f68(f105(x4181),x4182)),f68(f105(x4183),x4182)),f68(f105(f68(f95(x4181),x4183)),x4182)) % 3.87/3.87 [443]E(f68(f77(f68(f105(f3(x4431)),x4432)),f68(f105(f3(x4431)),x4433)),f68(f105(f3(x4431)),f68(f77(x4432),x4433))) % 3.87/3.87 [464]P3(f62(f107(f57(f103(x4641),x4642),f57(f103(x4643),x4642)),x4642)) % 3.87/3.87 [444]E(f57(f92(f2(x4441)),f57(f92(f2(x4442)),x4443)),f57(f92(f2(f57(f92(x4441),x4442))),x4443)) % 3.87/3.87 [445]E(f57(f92(f2(x4451)),f57(f76(f2(x4452)),x4453)),f57(f76(f2(f57(f92(x4451),x4452))),x4453)) % 3.87/3.87 [446]E(f57(f103(f2(x4461)),f57(f103(f2(x4462)),x4463)),f57(f103(f2(f57(f103(x4461),x4462))),x4463)) % 3.87/3.87 [447]E(f68(f95(f3(x4471)),f68(f95(f3(x4472)),x4473)),f68(f95(f3(f57(f92(x4471),x4472))),x4473)) % 3.87/3.87 [448]E(f68(f95(f3(x4481)),f68(f77(f3(x4482)),x4483)),f68(f77(f3(f57(f92(x4481),x4482))),x4483)) % 3.87/3.87 [449]E(f68(f105(f3(x4491)),f68(f105(f3(x4492)),x4493)),f68(f105(f3(f57(f103(x4491),x4492))),x4493)) % 3.87/3.87 [457]E(f57(f7(f57(f103(x4571),f57(f7(x4572),x4573))),x4573),f57(f7(f57(f103(x4571),x4572)),x4573)) % 3.87/3.87 [458]E(f57(f7(f57(f76(x4581),f57(f7(x4582),x4583))),x4583),f57(f7(f57(f76(x4581),x4582)),x4583)) % 3.87/3.87 [465]E(f67(f13(f67(f94(f67(f104(x4651),x4652)),x4653)),x4652),f67(f13(x4653),x4652)) % 3.87/3.87 [467]E(f57(f7(f57(f76(f57(f7(x4671),x4672)),x4673)),x4672),f57(f7(f57(f76(x4671),x4673)),x4672)) % 3.87/3.87 [468]E(f57(f7(f64(f93(f57(f7(x4681),x4682)),x4683)),x4682),f57(f7(f64(f93(x4681),x4683)),x4682)) % 3.87/3.87 [424]E(f57(f92(f57(f92(x4241),x4242)),f57(f92(x4243),x4244)),f57(f92(f57(f92(x4241),x4243)),f57(f92(x4242),x4244))) % 3.87/3.87 [426]E(f57(f103(f57(f103(x4261),x4262)),f57(f103(x4263),x4264)),f57(f103(f57(f103(x4261),x4263)),f57(f103(x4262),x4264))) % 3.87/3.87 [427]E(f57(f76(f57(f92(x4271),x4272)),f57(f92(x4273),x4274)),f57(f92(f57(f76(x4271),x4273)),f57(f76(x4272),x4274))) % 3.87/3.87 [429]E(f67(f94(f67(f94(x4291),x4292)),f67(f94(x4293),x4294)),f67(f94(f67(f94(x4291),x4293)),f67(f94(x4292),x4294))) % 3.87/3.87 [430]E(f67(f104(f67(f104(x4301),x4302)),f67(f104(x4303),x4304)),f67(f104(f67(f104(x4301),x4303)),f67(f104(x4302),x4304))) % 3.87/3.87 [431]E(f68(f95(f68(f95(x4311),x4312)),f68(f95(x4313),x4314)),f68(f95(f68(f95(x4311),x4313)),f68(f95(x4312),x4314))) % 3.87/3.87 [432]E(f68(f105(f68(f105(x4321),x4322)),f68(f105(x4323),x4324)),f68(f105(f68(f105(x4321),x4323)),f68(f105(x4322),x4324))) % 3.87/3.87 [433]E(f68(f77(f68(f95(x4331),x4332)),f68(f95(x4333),x4334)),f68(f95(f68(f77(x4331),x4333)),f68(f77(x4332),x4334))) % 3.87/3.87 [489]E(f102(f98(f57(f92(f57(f103(x4891),x4892)),f57(f103(x4893),x4894)),f57(f76(f57(f103(x4891),x4894)),f57(f103(x4893),x4892)))),f57(f103(f102(f98(x4891,x4893))),f102(f98(x4892,x4894)))) % 3.87/3.87 [478]E(f57(f92(f57(f103(x4781),x4782)),f57(f92(f57(f103(x4783),x4782)),x4784)),f57(f92(f57(f103(f57(f92(x4781),x4783)),x4782)),x4784)) % 3.87/3.87 [480]E(f67(f94(f67(f104(x4801),x4802)),f67(f94(f67(f104(x4803),x4802)),x4804)),f67(f94(f67(f104(f67(f94(x4801),x4803)),x4802)),x4804)) % 3.87/3.87 [481]E(f68(f95(f68(f105(x4811),x4812)),f68(f95(f68(f105(x4813),x4812)),x4814)),f68(f95(f68(f105(f68(f95(x4811),x4813)),x4812)),x4814)) % 3.87/3.87 [511]E(f57(f92(f57(f103(f57(f76(x5111),f57(f103(x5112),x5113))),x5114)),f57(f103(f57(f76(x5115),f57(f103(x5112),x5116))),x5117)),f57(f76(f57(f92(f57(f103(x5111),x5114)),f57(f103(x5115),x5117))),f57(f103(x5112),f57(f92(f57(f103(x5113),x5114)),f57(f103(x5116),x5117))))) % 3.87/3.87 [618]P1(a16)+~E(a100,a80) % 3.87/3.87 [619]~E(a100,a80)+P1(a27) % 3.87/3.87 [792]P1(a44)+~P3(f62(f58(a84,a80),a100)) % 3.87/3.87 [793]P1(a49)+~P3(f62(f58(a84,a80),a100)) % 3.87/3.87 [1881]~E(a100,a80)+E(f57(f92(f64(f93(a16),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(a27),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)) % 3.87/3.87 [1882]E(f57(f92(f64(f93(a44),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(a49),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))+~P3(f62(f58(a84,a80),a100)) % 3.87/3.87 [620]~P1(x6201)+E(f2(x6201),x6201) % 3.87/3.87 [621]~P1(x6211)+P1(f112(x6211)) % 3.87/3.87 [622]~P1(x6221)+P1(f2(x6221)) % 3.87/3.87 [623]E(x6231,a109)+E(f64(f93(a89),x6231),a89) % 3.87/3.87 [624]E(x6241,a109)+E(f67(f96(a109),x6241),a109) % 3.87/3.87 [625]E(x6251,a109)+E(f69(f97(a110),x6251),a110) % 3.87/3.87 [626]~E(x6261,a109)+E(f64(f93(a89),x6261),a80) % 3.87/3.87 [628]~E(x6281,a109)+E(f69(f97(a110),x6281),a82) % 3.87/3.87 [635]~E(x6351,a110)+E(f68(f95(x6351),x6351),a110) % 3.87/3.87 [648]~P1(x6481)+E(f57(f92(a89),x6481),x6481) % 3.87/3.87 [649]~P1(x6491)+E(f57(f92(a1),x6491),x6491) % 3.87/3.87 [651]~P1(x6511)+E(f57(f103(a80),x6511),x6511) % 3.87/3.87 [653]~P1(x6531)+E(f57(f92(x6531),a89),x6531) % 3.87/3.87 [654]~P1(x6541)+E(f57(f92(x6541),a1),x6541) % 3.87/3.87 [656]~P1(x6561)+E(f57(f103(x6561),a80),x6561) % 3.87/3.87 [657]~P1(x6571)+E(f57(f76(x6571),a1),x6571) % 3.87/3.87 [659]~P1(x6591)+E(f64(f93(x6591),a81),x6591) % 3.87/3.87 [671]~P1(x6711)+E(f57(f92(x6711),f2(a1)),x6711) % 3.87/3.87 [685]E(x6851,a110)+~E(f68(f95(x6851),x6851),a110) % 3.87/3.87 [761]E(x7611,a109)+P3(f65(f66(a87,a109),x7611)) % 3.87/3.87 [762]~E(x7621,a109)+P3(f65(f66(a14,a109),x7621)) % 3.87/3.87 [782]~E(f79(x7821),a109)+P3(f62(f58(a83,x7821),a1)) % 3.87/3.87 [804]E(x8041,a109)+~P3(f65(f66(a14,a109),x8041)) % 3.87/3.87 [805]E(x8051,a110)+~P3(f70(f71(a15,a110),x8051)) % 3.87/3.87 [810]E(x8101,a81)+~P3(f65(f66(a14,x8101),a81)) % 3.87/3.87 [811]E(x8111,a109)+~P3(f65(f66(a85,x8111),a109)) % 3.87/3.87 [815]E(f112(x8151),a80)+~P3(f62(f58(a83,x8151),a89)) % 3.87/3.87 [816]E(f79(x8161),a109)+~P3(f62(f58(a83,x8161),a1)) % 3.87/3.87 [818]P1(f29(x8181))+~P3(f62(f58(a84,a80),x8181)) % 3.87/3.87 [850]~P3(f62(f58(a84,a80),x8501))+P3(f62(a111,f29(x8501))) % 3.87/3.87 [894]~P3(f62(f58(a84,a89),x8941))+P3(f62(f58(a83,a80),x8941)) % 3.87/3.87 [895]P3(f62(f58(a84,a89),x8951))+~P3(f62(f58(a83,a80),x8951)) % 3.87/3.87 [904]P3(f62(f58(a83,a89),f2(x9041)))+~P3(f62(f58(a83,a1),x9041)) % 3.87/3.87 [905]P3(f62(f58(a84,a89),f2(x9051)))+~P3(f62(f58(a84,a1),x9051)) % 3.87/3.87 [906]P3(f65(f66(a87,a109),f79(x9061)))+~P3(f62(f58(a84,a1),x9061)) % 3.87/3.87 [907]P3(f70(f71(a86,a110),f3(x9071)))+~P3(f62(f58(a83,a1),x9071)) % 3.87/3.87 [908]~P3(f62(f58(a84,a1),x9081))+P3(f70(f71(a88,a110),f3(x9081))) % 3.87/3.87 [930]~P3(f62(f58(a83,a89),f2(x9301)))+P3(f62(f58(a83,a1),x9301)) % 3.87/3.87 [931]~P3(f70(f71(a86,a110),f3(x9311)))+P3(f62(f58(a83,a1),x9311)) % 3.87/3.87 [932]~P3(f62(f58(a84,a89),f2(x9321)))+P3(f62(f58(a84,a1),x9321)) % 3.87/3.87 [933]~P3(f65(f66(a87,a109),f79(x9331)))+P3(f62(f58(a84,a1),x9331)) % 3.87/3.87 [934]P3(f62(f58(a84,a1),x9341))+~P3(f70(f71(a88,a110),f3(x9341))) % 3.87/3.87 [688]~P1(x6881)+E(f57(f92(f2(a1)),x6881),x6881) % 3.87/3.87 [741]E(f64(f93(f2(a4)),x7411),f2(a4))+E(f64(f93(f2(a4)),x7411),a80) % 3.87/3.87 [847]E(x8471,a110)+P3(f70(f71(a88,a110),f68(f105(x8471),x8471))) % 3.87/3.87 [867]E(f57(f7(f2(a4)),x8671),f57(f76(x8671),a80))+~P3(f62(f58(a84,a89),x8671)) % 3.87/3.87 [940]~P3(f62(f58(a84,a80),x9401))+P3(f62(f58(a12,f29(x9401)),x9401)) % 3.87/3.87 [944]~P3(f62(f58(a83,x9441),a1))+P3(f62(f58(a83,f2(x9441)),a89)) % 3.87/3.87 [945]~P3(f62(f58(a84,x9451),a1))+P3(f62(f58(a84,f2(x9451)),a89)) % 3.87/3.87 [946]~P3(f62(f58(a83,x9461),a1))+P3(f70(f71(a86,f3(x9461)),a110)) % 3.87/3.87 [947]~P3(f62(f58(a84,x9471),a1))+P3(f70(f71(a88,f3(x9471)),a110)) % 3.87/3.87 [961]P3(f62(f58(a83,x9611),a1))+~P3(f62(f58(a83,f2(x9611)),a89)) % 3.87/3.87 [962]P3(f62(f58(a83,x9621),a1))+~P3(f70(f71(a86,f3(x9621)),a110)) % 3.87/3.87 [963]P3(f62(f58(a84,x9631),a1))+~P3(f62(f58(a84,f2(x9631)),a89)) % 3.87/3.87 [964]P3(f62(f58(a84,x9641),a1))+~P3(f70(f71(a88,f3(x9641)),a110)) % 3.87/3.87 [974]~E(x9741,a110)+~P3(f70(f71(a88,a110),f68(f105(x9741),x9741))) % 3.87/3.87 [1002]~P3(f62(f58(a83,a89),x10021))+P3(f62(f58(a84,a89),f57(f92(a80),x10021))) % 3.87/3.87 [1024]~P3(f62(f58(a84,a4),x10241))+P3(f62(f58(a83,a4),f57(f92(x10241),x10241))) % 3.87/3.87 [1025]~P3(f62(f58(a83,a1),x10251))+P3(f62(f58(a83,a1),f57(f92(x10251),x10251))) % 3.87/3.87 [1027]~P3(f62(f58(a84,a4),x10271))+P3(f62(f58(a84,a4),f57(f92(x10271),x10271))) % 3.87/3.87 [1028]~P3(f62(f58(a84,a1),x10281))+P3(f62(f58(a84,a1),f57(f92(x10281),x10281))) % 3.87/3.87 [1092]P3(f62(f58(a83,a1),x10921))+~P3(f62(f58(a83,a1),f57(f92(x10921),x10921))) % 3.87/3.87 [1093]P3(f62(f58(a84,a4),x10931))+~P3(f62(f58(a83,a4),f57(f92(x10931),x10931))) % 3.87/3.87 [1094]P3(f62(f58(a84,a4),x10941))+~P3(f62(f58(a84,a4),f57(f92(x10941),x10941))) % 3.87/3.87 [1095]P3(f62(f58(a84,a1),x10951))+~P3(f62(f58(a84,a1),f57(f92(x10951),x10951))) % 3.87/3.87 [1332]~P3(f62(a111,x13321))+P3(f62(f107(f112(f57(f76(x13321),a80)),f2(a4)),x13321)) % 3.87/3.87 [881]E(f57(f103(x8811),f112(f57(f76(x8811),a80))),f112(x8811))+P3(f62(f58(a83,x8811),a89)) % 3.87/3.87 [1152]~P3(f62(f58(a83,x11521),a4))+P3(f62(f58(a83,f57(f92(x11521),x11521)),a4)) % 3.87/3.87 [1153]~P3(f62(f58(a83,x11531),a1))+P3(f62(f58(a83,f57(f92(x11531),x11531)),a1)) % 3.87/3.87 [1157]~P3(f62(f58(a84,x11571),a89))+P3(f62(f58(a84,f57(f92(x11571),x11571)),a89)) % 3.87/3.87 [1158]~P3(f62(f58(a83,x11581),a4))+P3(f62(f58(a84,f57(f92(x11581),x11581)),a4)) % 3.87/3.87 [1159]~P3(f62(f58(a84,x11591),a1))+P3(f62(f58(a84,f57(f92(x11591),x11591)),a1)) % 3.87/3.87 [1160]~P3(f70(f71(a88,x11601),a110))+P3(f70(f71(a88,f68(f95(x11601),x11601)),a110)) % 3.87/3.87 [1183]~P3(f62(f58(a83,a89),f2(x11831)))+P3(f62(f58(a83,a89),f2(f57(f92(x11831),x11831)))) % 3.87/3.87 [1301]P3(f62(f58(a83,x13011),a4))+~P3(f62(f58(a83,f57(f92(x13011),x13011)),a4)) % 3.87/3.87 [1302]P3(f62(f58(a83,x13021),a4))+~P3(f62(f58(a84,f57(f92(x13021),x13021)),a4)) % 3.87/3.87 [1303]P3(f62(f58(a83,x13031),a1))+~P3(f62(f58(a83,f57(f92(x13031),x13031)),a1)) % 3.87/3.87 [1305]P3(f62(f58(a84,x13051),a89))+~P3(f62(f58(a84,f57(f92(x13051),x13051)),a89)) % 3.87/3.87 [1306]P3(f62(f58(a84,x13061),a1))+~P3(f62(f58(a84,f57(f92(x13061),x13061)),a1)) % 3.87/3.87 [1307]P3(f70(f71(a88,x13071),a110))+~P3(f70(f71(a88,f68(f95(x13071),x13071)),a110)) % 3.87/3.87 [1403]~P3(f62(f58(a83,a4),x14031))+P3(f62(f58(a83,a4),f57(f92(f57(f92(a80),x14031)),x14031))) % 3.87/3.87 [1404]~P3(f62(f58(a83,a1),x14041))+P3(f62(f58(a83,a1),f57(f92(f57(f92(a80),x14041)),x14041))) % 3.87/3.87 [1405]~P3(f62(f58(a84,a4),x14051))+P3(f62(f58(a84,a4),f57(f92(f57(f92(a80),x14051)),x14051))) % 3.87/3.87 [1406]~P3(f62(f58(a83,a1),x14061))+P3(f62(f58(a84,a1),f57(f92(f57(f92(a80),x14061)),x14061))) % 3.87/3.87 [1415]~P3(f62(f58(a83,f2(x14151)),a80))+P3(f62(f58(a83,x14151),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1416]~P3(f70(f71(a86,f3(x14161)),a82))+P3(f62(f58(a83,x14161),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1417]~P3(f62(f58(a84,f2(x14171)),a80))+P3(f62(f58(a84,x14171),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1418]~P3(f70(f71(a88,f3(x14181)),a82))+P3(f62(f58(a84,x14181),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1639]P3(f62(f58(a83,f2(x16391)),a80))+~P3(f62(f58(a83,x16391),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1640]P3(f62(f58(a84,f2(x16401)),a80))+~P3(f62(f58(a84,x16401),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1641]P3(f70(f71(a86,f3(x16411)),a82))+~P3(f62(f58(a83,x16411),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1642]P3(f70(f71(a88,f3(x16421)),a82))+~P3(f62(f58(a84,x16421),f57(f92(f57(f92(a80),a1)),a1))) % 3.87/3.87 [1645]P3(f62(f58(a83,a4),x16451))+~P3(f62(f58(a83,a4),f57(f92(f57(f92(a80),x16451)),x16451))) % 3.87/3.87 [1646]P3(f62(f58(a83,a1),x16461))+~P3(f62(f58(a83,a1),f57(f92(f57(f92(a80),x16461)),x16461))) % 3.87/3.87 [1647]P3(f62(f58(a83,a1),x16471))+~P3(f62(f58(a84,a1),f57(f92(f57(f92(a80),x16471)),x16471))) % 3.87/3.87 [1648]P3(f62(f58(a84,a4),x16481))+~P3(f62(f58(a84,a4),f57(f92(f57(f92(a80),x16481)),x16481))) % 3.87/3.87 [1145]~P1(x11451)+E(f57(f103(x11451),f2(f57(f92(f57(f92(a80),a1)),a1))),x11451) % 3.87/3.87 [1686]~P3(f62(f58(a83,a80),f2(x16861)))+P3(f62(f58(a83,f57(f92(f57(f92(a80),a1)),a1)),x16861)) % 3.87/3.87 [1687]~P3(f70(f71(a86,a82),f3(x16871)))+P3(f62(f58(a83,f57(f92(f57(f92(a80),a1)),a1)),x16871)) % 3.87/3.87 [1688]~P3(f62(f58(a84,a80),f2(x16881)))+P3(f62(f58(a84,f57(f92(f57(f92(a80),a1)),a1)),x16881)) % 3.87/3.87 [1689]~P3(f70(f71(a88,a82),f3(x16891)))+P3(f62(f58(a84,f57(f92(f57(f92(a80),a1)),a1)),x16891)) % 3.87/3.87 [1706]~P3(f62(f58(a83,x17061),a4))+P3(f62(f58(a83,f57(f92(f57(f92(a80),x17061)),x17061)),a4)) % 3.87/3.87 [1707]~P3(f62(f58(a84,x17071),a1))+P3(f62(f58(a83,f57(f92(f57(f92(a80),x17071)),x17071)),a1)) % 3.87/3.87 [1709]~P3(f62(f58(a84,x17091),a89))+P3(f62(f58(a84,f57(f92(f57(f92(a80),x17091)),x17091)),a89)) % 3.87/3.87 [1710]~P3(f62(f58(a84,x17101),a4))+P3(f62(f58(a84,f57(f92(f57(f92(a80),x17101)),x17101)),a4)) % 3.87/3.87 [1711]~P3(f62(f58(a84,x17111),a1))+P3(f62(f58(a84,f57(f92(f57(f92(a80),x17111)),x17111)),a1)) % 3.87/3.87 [1714]~P3(f62(f58(a83,a89),f2(x17141)))+P3(f62(f58(a83,a89),f2(f57(f92(f57(f92(a80),x17141)),x17141)))) % 3.87/3.87 [1747]P3(f62(f58(a83,a80),f2(x17471)))+~P3(f62(f58(a83,f57(f92(f57(f92(a80),a1)),a1)),x17471)) % 3.87/3.87 [1748]P3(f62(f58(a84,a80),f2(x17481)))+~P3(f62(f58(a84,f57(f92(f57(f92(a80),a1)),a1)),x17481)) % 3.87/3.87 [1749]P3(f70(f71(a86,a82),f3(x17491)))+~P3(f62(f58(a83,f57(f92(f57(f92(a80),a1)),a1)),x17491)) % 3.87/3.87 [1750]P3(f70(f71(a88,a82),f3(x17501)))+~P3(f62(f58(a84,f57(f92(f57(f92(a80),a1)),a1)),x17501)) % 3.87/3.87 [1758]P3(f62(f58(a83,x17581),a4))+~P3(f62(f58(a83,f57(f92(f57(f92(a80),x17581)),x17581)),a4)) % 3.87/3.87 [1760]P3(f62(f58(a84,x17601),a89))+~P3(f62(f58(a84,f57(f92(f57(f92(a80),x17601)),x17601)),a89)) % 3.87/3.87 [1761]P3(f62(f58(a84,x17611),a4))+~P3(f62(f58(a84,f57(f92(f57(f92(a80),x17611)),x17611)),a4)) % 3.87/3.87 [1762]P3(f62(f58(a84,x17621),a1))+~P3(f62(f58(a83,f57(f92(f57(f92(a80),x17621)),x17621)),a1)) % 3.87/3.87 [1763]P3(f62(f58(a84,x17631),a1))+~P3(f62(f58(a84,f57(f92(f57(f92(a80),x17631)),x17631)),a1)) % 3.87/3.87 [1577]~P1(x15771)+E(f57(f103(f2(f57(f92(f57(f92(a80),a1)),a1))),x15771),x15771) % 3.87/3.87 [1793]~E(x17931,a110)+E(f69(f97(x17931),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a110) % 3.87/3.87 [1812]E(f57(f7(x18121),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a80)+E(f57(f7(x18121),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a89) % 3.87/3.87 [1817]~E(f57(f7(x18171),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a80)+~E(f57(f7(x18171),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a89) % 3.87/3.87 [1824]~P3(f62(a111,x18241))+E(f108(f57(f76(x18241),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18241),f11(f57(f76(x18241),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [1825]E(x18251,a110)+P3(f70(f71(a88,a110),f69(f97(x18251),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [1830]~E(x18301,a110)+~P3(f70(f71(a88,a110),f69(f97(x18301),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [1832]~P3(f62(f107(a80,f2(a4)),x18321))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18321)) % 3.87/3.87 [1890]E(f72(f2(a4),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),x18901)),a80)),a80)+~P3(f62(a111,f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),x18901)),a80))) % 3.87/3.87 [705]~P1(x7052)+P1(f57(x7051,x7052)) % 3.87/3.87 [706]~P2(x7062)+P2(f61(x7061,x7062)) % 3.87/3.87 [707]~P1(x7072)+P2(f62(x7071,x7072)) % 3.87/3.87 [708]~P1(x7081)+P2(f74(x7081,x7082)) % 3.87/3.87 [744]P3(f62(x7442,x7441))+P1(f28(x7441,x7442)) % 3.87/3.87 [767]~P3(f74(x7672,x7671))+P3(f62(x7671,x7672)) % 3.87/3.87 [768]~P3(f62(x7682,x7681))+P3(f74(x7681,x7682)) % 3.87/3.87 [630]~E(x6302,a109)+E(f67(f96(x6301),x6302),a81) % 3.87/3.87 [631]~E(x6311,a81)+E(f67(f96(x6311),x6312),a81) % 3.87/3.87 [632]~E(x6322,a109)+E(f67(f104(x6321),x6322),a109) % 3.87/3.87 [634]~E(x6341,a109)+E(f67(f104(x6341),x6342),a109) % 3.87/3.87 [636]~E(x6362,a110)+E(f68(f105(x6361),x6362),a110) % 3.87/3.87 [637]~E(x6371,a110)+E(f68(f105(x6371),x6372),a110) % 3.87/3.87 [638]~E(x6382,a109)+E(f67(f94(x6381),x6382),x6381) % 3.87/3.87 [639]~E(x6392,a110)+E(f68(f95(x6391),x6392),x6391) % 3.87/3.87 [678]E(x6781,a81)+~E(f67(f104(x6782),x6781),a81) % 3.87/3.87 [680]E(x6801,a81)+~E(f67(f104(x6801),x6802),a81) % 3.87/3.87 [681]E(x6811,a109)+~E(f67(f94(x6812),x6811),a109) % 3.87/3.87 [682]E(x6821,a109)+~E(f67(f94(x6821),x6822),a109) % 3.87/3.87 [684]E(x6841,a109)+~E(f67(f96(x6841),x6842),a109) % 3.87/3.87 [687]E(x6871,a110)+~E(f69(f97(x6871),x6872),a110) % 3.87/3.87 [690]~E(x6901,a109)+~E(f67(f96(x6902),x6901),a109) % 3.87/3.87 [691]~E(x6911,a109)+~E(f69(f97(x6912),x6911),a110) % 3.87/3.87 [693]E(x6931,a110)+~E(f68(f95(x6932),x6931),x6932) % 3.87/3.87 [694]E(x6941,a109)+~E(f67(f94(x6942),x6941),x6942) % 3.87/3.87 [769]E(f67(f104(x7691),f43(x7692,x7691)),x7692)+~E(f67(f13(x7692),x7691),a109) % 3.87/3.87 [772]~E(x7721,x7722)+P3(f65(f66(a85,x7721),x7722)) % 3.87/3.87 [778]~E(x7781,x7782)+P3(f65(f66(a14,x7781),x7782)) % 3.87/3.87 [779]~E(x7791,x7792)+P3(f70(f71(a86,x7791),x7792)) % 3.87/3.87 [789]P1(f18(x7891,x7892))+~P3(f62(f99(x7891),x7892)) % 3.87/3.87 [795]~E(f57(f7(x7951),x7952),a89)+P3(f62(f107(x7951,a89),x7952)) % 3.87/3.87 [796]~E(f67(f75(x7961),x7962),a109)+P3(f65(f66(a85,x7961),x7962)) % 3.87/3.87 [819]~E(x8191,a109)+~P3(f65(f66(a87,x8192),x8191)) % 3.87/3.87 [824]~E(x8241,x8242)+~P3(f65(f66(a87,x8241),x8242)) % 3.87/3.87 [825]~E(x8251,x8252)+~P3(f70(f71(a88,x8251),x8252)) % 3.87/3.87 [826]P3(x8261)+~P3(f61(f59(a60,x8262),x8261)) % 3.87/3.87 [827]P3(x8271)+~P3(f61(f59(a60,x8271),x8272)) % 3.87/3.87 [828]E(f72(x8281,x8282),a89)+~P3(f62(f107(x8281,a89),x8282)) % 3.87/3.87 [831]~P3(f74(x8311,f11(x8312)))+P3(f62(f58(a84,a80),x8311)) % 3.87/3.87 [836]E(f57(f7(x8361),x8362),a89)+~P3(f62(f107(x8361,a89),x8362)) % 3.87/3.87 [838]E(f67(f75(x8381),x8382),a109)+~P3(f65(f66(a85,x8381),x8382)) % 3.87/3.87 [839]P1(f32(x8391,x8392))+~P3(f62(f58(a84,a89),x8392)) % 3.87/3.87 [841]E(f67(f13(x8411),x8412),x8411)+~P3(f65(f66(a87,x8411),x8412)) % 3.87/3.87 [845]~P3(f74(x8451,f11(x8452)))+P3(f62(f58(a83,x8451),x8452)) % 3.87/3.87 [854]P3(f62(f58(a83,x8542),x8541))+P3(f62(f58(a83,x8541),x8542)) % 3.87/3.87 [855]P3(f65(f66(a85,x8552),x8551))+P3(f65(f66(a85,x8551),x8552)) % 3.87/3.87 [856]P3(f70(f71(a86,x8562),x8561))+P3(f70(f71(a86,x8561),x8562)) % 3.87/3.87 [858]E(f67(f104(f79(x8581)),f79(x8582)),a109)+~P3(f62(f58(a84,x8581),a1)) % 3.87/3.87 [870]E(f67(f94(f79(x8701)),f79(x8702)),f79(x8702))+~P3(f62(f58(a84,x8701),a1)) % 3.87/3.87 [875]P3(f62(x8751,x8752))+~P3(f62(x8751,f28(x8752,x8751))) % 3.87/3.87 [877]E(f67(f94(x8771),f20(x8771,x8772)),x8772)+~P3(f65(f66(a85,x8771),x8772)) % 3.87/3.87 [878]E(f67(f94(x8781),f41(x8781,x8782)),x8782)+~P3(f65(f66(a87,x8781),x8782)) % 3.87/3.87 [882]~E(f57(f7(f2(x8822)),f2(x8821)),a89)+P3(f62(f58(a12,f2(x8821)),f2(x8822))) % 3.87/3.87 [898]~P3(f74(x8981,f11(x8982)))+~P3(f62(f58(a84,x8982),x8981)) % 3.87/3.87 [903]P3(f74(x9031,f108(x9031,x9032)))+~P3(f62(f58(a84,a80),x9031)) % 3.87/3.87 [912]~P3(f62(f58(a12,x9122),x9121))+P3(f62(f107(x9121,a89),x9122)) % 3.87/3.87 [914]~P3(f62(f107(x9142,a89),x9141))+P3(f62(f58(a12,x9141),x9142)) % 3.87/3.87 [918]~P3(f65(f66(a87,x9181),x9182))+P3(f65(f66(a85,x9181),x9182)) % 3.87/3.87 [920]~P3(f70(f71(a88,x9201),x9202))+P3(f70(f71(a86,x9201),x9202)) % 3.87/3.87 [955]E(f57(f7(f2(x9551)),f2(x9552)),a89)+~P3(f62(f58(a12,f2(x9552)),f2(x9551))) % 3.87/3.87 [958]P3(f62(f58(a83,f2(x9581)),f2(x9582)))+P3(f62(f58(a84,f2(x9582)),f2(x9581))) % 3.87/3.87 [959]P3(f65(f66(a85,f79(x9591)),f79(x9592)))+P3(f65(f66(a87,f79(x9592)),f79(x9591))) % 3.87/3.87 [960]P3(f70(f71(a86,f3(x9601)),f3(x9602)))+P3(f70(f71(a88,f3(x9602)),f3(x9601))) % 3.87/3.87 [967]P3(f65(f66(a85,f79(x9671)),f79(x9672)))+~P3(f62(f58(a83,x9671),a1)) % 3.87/3.87 [973]P3(f62(f58(a83,a89),f32(x9731,x9732)))+~P3(f62(f58(a84,a89),x9732)) % 3.87/3.87 [976]~P3(f62(f58(a83,x9761),x9762))+P3(f62(f58(a83,f2(x9761)),f2(x9762))) % 3.87/3.87 [978]~P3(f62(f58(a84,x9781),x9782))+P3(f62(f58(a84,f2(x9781)),f2(x9782))) % 3.87/3.87 [979]~P3(f62(f58(a83,x9791),x9792))+P3(f65(f66(a85,f79(x9791)),f79(x9792))) % 3.87/3.87 [980]~P3(f62(f58(a83,x9801),x9802))+P3(f70(f71(a86,f3(x9801)),f3(x9802))) % 3.87/3.87 [981]~P3(f62(f58(a84,x9811),x9812))+P3(f70(f71(a88,f3(x9811)),f3(x9812))) % 3.87/3.87 [989]P3(f65(f66(a87,a109),f41(x9891,x9892)))+~P3(f65(f66(a87,x9891),x9892)) % 3.87/3.87 [1007]~P3(f62(f58(a83,f2(x10071)),f2(x10072)))+P3(f62(f58(a83,x10071),x10072)) % 3.87/3.87 [1008]~P3(f70(f71(a86,f3(x10081)),f3(x10082)))+P3(f62(f58(a83,x10081),x10082)) % 3.87/3.87 [1010]~P3(f62(f58(a84,f2(x10101)),f2(x10102)))+P3(f62(f58(a84,x10101),x10102)) % 3.87/3.87 [1011]~P3(f65(f66(a87,f79(x10111)),f79(x10112)))+P3(f62(f58(a84,x10111),x10112)) % 3.87/3.87 [1012]~P3(f70(f71(a88,f3(x10121)),f3(x10122)))+P3(f62(f58(a84,x10121),x10122)) % 3.87/3.87 [1177]~P3(f62(f58(a83,f2(x11771)),f2(x11772)))+~P3(f62(f58(a84,f2(x11772)),f2(x11771))) % 3.87/3.87 [1178]~P3(f65(f66(a85,f79(x11781)),f79(x11782)))+~P3(f65(f66(a87,f79(x11782)),f79(x11781))) % 3.87/3.87 [1179]~P3(f70(f71(a86,f3(x11791)),f3(x11792)))+~P3(f70(f71(a88,f3(x11792)),f3(x11791))) % 3.87/3.87 [829]E(f67(f94(x8291),f67(f75(x8292),x8291)),x8292)+P3(f65(f66(a87,x8292),x8291)) % 3.87/3.87 [849]~E(x8492,a109)+P3(f65(f66(a87,a109),f67(f96(x8491),x8492))) % 3.87/3.87 [859]E(f67(f104(f79(x8591)),f79(x8592)),f79(f57(f103(x8591),x8592)))+P3(f62(f58(a84,x8591),a1)) % 3.87/3.87 [864]~E(x8641,a80)+P3(f62(f58(a12,x8641),f64(f93(x8641),x8642))) % 3.87/3.87 [865]~E(x8651,a81)+P3(f65(f66(a14,x8651),f67(f96(x8651),x8652))) % 3.87/3.87 [866]~E(x8661,a82)+P3(f70(f71(a15,x8661),f69(f97(x8661),x8662))) % 3.87/3.87 [892]E(f67(f94(x8921),f67(f75(x8922),x8921)),x8922)+~P3(f65(f66(a85,x8921),x8922)) % 3.87/3.87 [893]E(f67(f75(x8931),f67(f75(x8931),x8932)),x8932)+~P3(f65(f66(a85,x8932),x8931)) % 3.87/3.87 [951]E(x9511,a110)+~E(f68(f95(f68(f105(x9512),x9512)),f68(f105(x9511),x9511)),a110) % 3.87/3.87 [953]E(x9531,a110)+~E(f68(f95(f68(f105(x9531),x9531)),f68(f105(x9532),x9532)),a110) % 3.87/3.87 [1018]~P3(f62(f58(a83,a80),x10181))+P3(f62(f58(a83,a80),f64(f93(x10181),x10182))) % 3.87/3.87 [1021]~P3(f62(f58(a84,a89),x10212))+P3(f62(f58(a83,a89),f57(f7(x10211),x10212))) % 3.87/3.87 [1023]~P3(f62(f58(a83,a89),x10231))+P3(f62(f58(a83,a89),f64(f93(x10231),x10232))) % 3.87/3.87 [1026]~P3(f62(f58(a84,a89),x10261))+P3(f62(f58(a84,a89),f64(f93(x10261),x10262))) % 3.87/3.87 [1029]~P3(f65(f66(a85,a81),x10291))+P3(f65(f66(a85,a81),f67(f96(x10291),x10292))) % 3.87/3.87 [1035]~P3(f65(f66(a87,a109),x10351))+P3(f65(f66(a87,a109),f67(f96(x10351),x10352))) % 3.87/3.87 [1036]~P3(f70(f71(a86,a82),x10361))+P3(f70(f71(a86,a82),f69(f97(x10361),x10362))) % 3.87/3.87 [1037]~P3(f70(f71(a86,a110),x10371))+P3(f70(f71(a86,a110),f69(f97(x10371),x10372))) % 3.87/3.87 [1038]~P3(f70(f71(a88,a110),x10381))+P3(f70(f71(a88,a110),f69(f97(x10381),x10382))) % 3.87/3.87 [1041]~P3(f65(f66(a87,a109),x10412))+P3(f62(f58(a12,x10411),f64(f93(x10411),x10412))) % 3.87/3.87 [1042]~P3(f65(f66(a87,a109),x10422))+P3(f65(f66(a14,x10421),f67(f96(x10421),x10422))) % 3.87/3.87 [1043]~P3(f65(f66(a87,a109),x10432))+P3(f70(f71(a15,x10431),f69(f97(x10431),x10432))) % 3.87/3.87 [1045]~P3(f62(f58(a84,x10451),x10452))+P3(f62(f58(a83,x10451),f57(f76(x10452),a80))) % 3.87/3.87 [1046]~P3(f62(f58(a83,x10461),x10462))+P3(f62(f58(a84,x10461),f57(f92(x10462),a80))) % 3.87/3.87 [1047]~P3(f65(f66(a87,x10472),x10471))+P3(f65(f66(a87,a109),f67(f75(x10471),x10472))) % 3.87/3.87 [1049]~P3(f62(f58(a84,x10491),a89))+P3(f62(f58(a84,x10491),f57(f7(x10492),x10491))) % 3.87/3.87 [1057]~P3(f65(f66(a14,x10571),x10572))+P3(f65(f66(a14,x10571),f67(f94(x10572),x10571))) % 3.87/3.87 [1087]~P3(f62(f58(a84,a89),x10872))+P3(f62(f58(a84,f32(x10871,x10872)),x10872)) % 3.87/3.87 [1091]~P3(f62(f58(a84,a89),x10912))+P3(f62(f107(x10911,f32(x10911,x10912)),x10912)) % 3.87/3.87 [1096]P3(f65(f66(a87,a109),x10961))+~P3(f65(f66(a87,a109),f67(f104(x10962),x10961))) % 3.87/3.87 [1097]P3(f65(f66(a87,a109),x10971))+~P3(f65(f66(a87,a109),f67(f104(x10971),x10972))) % 3.87/3.87 [1110]P3(f62(f58(a83,x11101),x11102))+~P3(f62(f58(a84,x11101),f57(f92(x11102),a80))) % 3.87/3.87 [1112]P3(f62(f58(a84,x11121),x11122))+~P3(f62(f58(a83,x11121),f57(f76(x11122),a80))) % 3.87/3.87 [1113]P3(f65(f66(a87,x11131),x11132))+~P3(f65(f66(a87,a109),f67(f75(x11132),x11131))) % 3.87/3.87 [1126]P3(f65(f66(a14,x11261),x11262))+~P3(f65(f66(a14,x11261),f67(f94(x11262),x11261))) % 3.87/3.87 [1269]~P3(f62(f58(a83,x12691),x12692))+P3(f62(f58(a83,f57(f92(x12691),x12691)),f57(f92(x12692),x12692))) % 3.87/3.87 [1272]~P3(f62(f58(a84,x12721),x12722))+P3(f62(f58(a84,f57(f92(x12721),x12721)),f57(f92(x12722),x12722))) % 3.87/3.87 [1513]P3(f62(f58(a83,x15131),x15132))+~P3(f62(f58(a83,f57(f92(x15131),x15131)),f57(f92(x15132),x15132))) % 3.87/3.87 [1515]P3(f62(f58(a84,x15151),x15152))+~P3(f62(f58(a84,f57(f92(x15151),x15151)),f57(f92(x15152),x15152))) % 3.87/3.87 [1719]~P3(f62(f58(a84,x17191),x17192))+P3(f62(f58(a83,f57(f92(f57(f92(a80),x17191)),x17191)),f57(f92(x17192),x17192))) % 3.87/3.87 [1721]~P3(f62(f58(a84,x17211),x17212))+P3(f62(f58(a84,f57(f92(f57(f92(a80),x17211)),x17211)),f57(f92(x17212),x17212))) % 3.87/3.87 [1768]P3(f62(f58(a84,x17681),x17682))+~P3(f62(f58(a83,f57(f92(f57(f92(a80),x17681)),x17681)),f57(f92(x17682),x17682))) % 3.87/3.87 [1770]P3(f62(f58(a84,x17701),x17702))+~P3(f62(f58(a84,f57(f92(f57(f92(a80),x17701)),x17701)),f57(f92(x17702),x17702))) % 3.87/3.87 [852]E(x8521,a109)+E(f67(f104(x8522),f67(f96(x8522),f67(f75(x8521),a81))),f67(f96(x8522),x8521)) % 3.87/3.87 [910]E(f67(f13(f67(f75(x9101),x9102)),x9102),f67(f13(x9101),x9102))+P3(f65(f66(a87,x9101),x9102)) % 3.87/3.87 [956]E(f67(f94(f67(f75(x9561),x9562)),x9562),x9561)+~P3(f65(f66(a85,x9562),x9561)) % 3.87/3.87 [982]E(f67(f13(f67(f75(x9821),x9822)),x9822),f67(f13(x9821),x9822))+~P3(f65(f66(a85,x9822),x9821)) % 3.87/3.87 [1144]~P3(f62(f58(a84,x11441),x11442))+P3(f62(f58(a83,f57(f92(x11441),a80)),x11442)) % 3.87/3.87 [1146]~P3(f62(f58(a83,a89),x11461))+P3(f62(f58(a83,f57(f7(x11461),x11462)),x11461)) % 3.87/3.87 [1149]~P3(f62(f58(a84,a89),x11492))+P3(f62(f58(a84,f57(f7(x11491),x11492)),x11492)) % 3.87/3.87 [1150]~P3(f65(f66(a87,a109),x11502))+P3(f65(f66(a85,f67(f13(x11501),x11502)),x11502)) % 3.87/3.87 [1151]~P3(f65(f66(a87,a109),x11512))+P3(f65(f66(a87,f67(f13(x11511),x11512)),x11512)) % 3.87/3.87 [1155]~P3(f62(f58(a84,x11552),a89))+P3(f62(f58(a83,f57(f7(x11551),x11552)),a89)) % 3.87/3.87 [1169]~P3(f62(f58(a84,x11691),x11692))+P3(f62(f58(a84,f57(f76(x11691),x11692)),a89)) % 3.87/3.87 [1170]~P3(f70(f71(a86,x11701),x11702))+P3(f70(f71(a86,f68(f77(x11701),x11702)),a110)) % 3.87/3.87 [1249]~P3(f62(f58(a84,a80),x12491))+P3(f62(f58(a84,a80),f57(f103(x12491),f64(f93(x12491),x12492)))) % 3.87/3.87 [1250]~P3(f65(f66(a87,a81),x12501))+P3(f65(f66(a87,a81),f67(f104(x12501),f67(f96(x12501),x12502)))) % 3.87/3.87 [1251]~P3(f70(f71(a88,a82),x12511))+P3(f70(f71(a88,a82),f68(f105(x12511),f69(f97(x12511),x12512)))) % 3.87/3.87 [1263]P3(f62(f58(a84,x12631),x12632))+~P3(f62(f58(a83,f57(f92(x12631),a80)),x12632)) % 3.87/3.87 [1308]P3(f62(f58(a84,x13081),x13082))+~P3(f62(f58(a84,f57(f76(x13081),x13082)),a89)) % 3.87/3.87 [1309]P3(f70(f71(a86,x13091),x13092))+~P3(f70(f71(a86,f68(f77(x13091),x13092)),a110)) % 3.87/3.87 [1534]~P3(f62(f58(a84,a80),x15341))+P3(f62(f58(a84,f64(f93(x15341),x15342)),f57(f103(x15341),f64(f93(x15341),x15342)))) % 3.87/3.87 [1535]~P3(f65(f66(a87,a81),x15351))+P3(f65(f66(a87,f67(f96(x15351),x15352)),f67(f104(x15351),f67(f96(x15351),x15352)))) % 3.87/3.87 [1536]~P3(f70(f71(a88,a82),x15361))+P3(f70(f71(a88,f69(f97(x15361),x15362)),f68(f105(x15361),f69(f97(x15361),x15362)))) % 3.87/3.87 [1546]E(x15461,a110)+P3(f70(f71(a88,a110),f68(f95(f68(f105(x15462),x15462)),f68(f105(x15461),x15461)))) % 3.87/3.87 [1547]E(x15471,a110)+P3(f70(f71(a88,a110),f68(f95(f68(f105(x15471),x15471)),f68(f105(x15472),x15472)))) % 3.87/3.87 [957]E(x9571,a109)+E(f67(f94(x9572),f67(f104(f67(f75(x9571),a81)),x9572)),f67(f104(x9571),x9572)) % 3.87/3.87 [1202]~P3(f65(f66(a87,a109),x12022))+E(f57(f103(f64(f93(x12021),f67(f75(x12022),a81))),x12021),f64(f93(x12021),x12022)) % 3.87/3.87 [1203]~P3(f65(f66(a87,a109),x12032))+E(f67(f104(f67(f96(x12031),f67(f75(x12032),a81))),x12031),f67(f96(x12031),x12032)) % 3.87/3.87 [1204]~P3(f65(f66(a87,a109),x12042))+E(f68(f105(f69(f97(x12041),f67(f75(x12042),a81))),x12041),f69(f97(x12041),x12042)) % 3.87/3.87 [1635]~P3(f62(f58(a83,x16351),x16352))+P3(f62(f58(a83,f57(f92(x16351),x16351)),f57(f92(f57(f92(a80),x16352)),x16352))) % 3.87/3.87 [1637]~P3(f62(f58(a83,x16371),x16372))+P3(f62(f58(a84,f57(f92(x16371),x16371)),f57(f92(f57(f92(a80),x16372)),x16372))) % 3.87/3.87 [1712]~P3(f62(f107(x17121,f57(f76(x17122),a80)),x17122))+P3(f62(f107(f57(f103(x17121),f57(f76(x17122),a80)),a80),x17122)) % 3.87/3.87 [1728]P3(f62(f58(a83,x17281),x17282))+~P3(f62(f58(a83,f57(f92(x17281),x17281)),f57(f92(f57(f92(a80),x17282)),x17282))) % 3.87/3.87 [1730]P3(f62(f58(a83,x17301),x17302))+~P3(f62(f58(a84,f57(f92(x17301),x17301)),f57(f92(f57(f92(a80),x17302)),x17302))) % 3.87/3.87 [1738]P3(f62(f107(x17381,f57(f76(x17382),a80)),x17382))+~P3(f62(f107(f57(f103(x17381),f57(f76(x17382),a80)),a80),x17382)) % 3.87/3.87 [1755]~P3(f62(f58(a83,x17551),x17552))+P3(f62(f58(a83,f57(f92(f57(f92(a80),x17551)),x17551)),f57(f92(f57(f92(a80),x17552)),x17552))) % 3.87/3.87 [1757]~P3(f62(f58(a84,x17571),x17572))+P3(f62(f58(a84,f57(f92(f57(f92(a80),x17571)),x17571)),f57(f92(f57(f92(a80),x17572)),x17572))) % 3.87/3.87 [1784]P3(f62(f58(a83,x17841),x17842))+~P3(f62(f58(a83,f57(f92(f57(f92(a80),x17841)),x17841)),f57(f92(f57(f92(a80),x17842)),x17842))) % 3.87/3.87 [1786]P3(f62(f58(a84,x17861),x17862))+~P3(f62(f58(a84,f57(f92(f57(f92(a80),x17861)),x17861)),f57(f92(f57(f92(a80),x17862)),x17862))) % 3.87/3.87 [1787]E(x17871,a110)+~P3(f70(f71(a86,f68(f95(f68(f105(x17872),x17872)),f68(f105(x17871),x17871))),a110)) % 3.87/3.87 [1788]E(x17881,a110)+~P3(f70(f71(a86,f68(f95(f68(f105(x17881),x17881)),f68(f105(x17882),x17882))),a110)) % 3.87/3.87 [1850]~P3(f62(f58(a83,a89),f2(x18502)))+E(f57(f7(f2(f57(f92(f57(f92(a80),x18501)),x18501))),f2(f57(f92(x18502),x18502))),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f7(f2(x18501)),f2(x18502)))),a80)) % 3.87/3.87 [1851]P3(f62(f58(a83,a89),f2(x18512)))+E(f57(f7(f2(f57(f92(f57(f92(a80),x18511)),x18511))),f2(f57(f92(x18512),x18512))),f57(f76(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f7(f57(f92(f2(x18511)),a80)),f2(x18512)))),a80)) % 3.87/3.87 [1854]E(x18541,a110)+~E(f68(f95(f69(f97(x18542),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18541),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a110) % 3.87/3.87 [1856]E(x18561,a110)+~E(f68(f95(f69(f97(x18561),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18562),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a110) % 3.87/3.87 [1849]~P3(f62(f99(x18491),x18492))+P3(f62(f107(f64(f93(f18(x18491,x18492)),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18492),x18491)) % 3.87/3.87 [1868]~P3(f62(f58(a83,a89),x18682))+E(f57(f7(f57(f92(a80),f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18681))),f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18682)),f57(f92(a80),f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f7(x18681),x18682)))) % 3.87/3.87 [1869]E(x18691,a110)+P3(f70(f71(a88,a110),f68(f95(f69(f97(x18692),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18691),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.87 [1870]E(x18701,a110)+P3(f70(f71(a88,a110),f68(f95(f69(f97(x18701),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18702),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.87 [1873]~P3(f62(f58(a83,x18732),a89))+E(f57(f7(f57(f92(a80),f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18731))),f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18732)),f57(f76(f57(f103(f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f7(f57(f92(x18731),a80)),x18732))),a80)) % 3.87/3.87 [1886]E(x18861,a110)+~P3(f70(f71(a86,f68(f95(f69(f97(x18862),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18861),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a110)) % 3.87/3.87 [1887]E(x18871,a110)+~P3(f70(f71(a86,f68(f95(f69(f97(x18871),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18872),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a110)) % 3.87/3.87 [1879]E(x18791,a110)+~P3(f70(f71(a86,f69(f97(x18791),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18792))),a110)) % 3.87/3.87 [718]~E(x7182,a109)+E(f67(f104(x7181),x7182),f67(f104(x7183),x7182)) % 3.87/3.87 [720]~E(x7201,a109)+E(f67(f104(x7201),x7202),f67(f104(x7201),x7203)) % 3.87/3.87 [740]~E(x7401,f67(f104(x7402),x7403))+E(f67(f13(x7401),x7402),a109) % 3.87/3.87 [748]E(x7481,x7482)+~E(f67(f94(x7483),x7481),f67(f94(x7483),x7482)) % 3.87/3.87 [749]E(x7491,x7492)+~E(f67(f94(x7491),x7493),f67(f94(x7492),x7493)) % 3.87/3.87 [797]~E(x7972,f57(f103(x7971),x7973))+P3(f62(f58(a12,x7971),x7972)) % 3.87/3.87 [798]~E(x7982,f67(f94(x7981),x7983))+P3(f65(f66(a85,x7981),x7982)) % 3.87/3.87 [799]~E(x7992,f67(f104(x7991),x7993))+P3(f65(f66(a14,x7991),x7992)) % 3.87/3.87 [800]~E(x8002,f68(f105(x8001),x8003))+P3(f70(f71(a15,x8001),x8002)) % 3.87/3.87 [846]~E(f57(f7(x8461),x8463),f57(f7(x8462),x8463))+P3(f62(f107(x8461,x8462),x8463)) % 3.87/3.87 [942]~P3(f62(f107(x9422,x9421),x9423))+P3(f62(f107(x9421,x9422),x9423)) % 3.87/3.87 [954]~E(f57(f7(x9542),x9541),f57(f7(x9543),x9541))+P3(f62(f58(a12,x9541),f57(f76(x9542),x9543))) % 3.87/3.87 [1051]~P3(f62(f58(a12,x10511),x10513))+P3(f62(f58(a12,x10511),f57(f103(x10512),x10513))) % 3.87/3.87 [1052]~P3(f62(f58(a12,x10521),x10522))+P3(f62(f58(a12,x10521),f57(f103(x10522),x10523))) % 3.87/3.87 [1053]~P3(f65(f66(a85,x10531),x10533))+P3(f65(f66(a85,x10531),f67(f94(x10532),x10533))) % 3.87/3.87 [1054]~P3(f65(f66(a85,x10541),x10542))+P3(f65(f66(a85,x10541),f67(f94(x10542),x10543))) % 3.87/3.87 [1055]~P3(f65(f66(a87,x10551),x10553))+P3(f65(f66(a87,x10551),f67(f94(x10552),x10553))) % 3.87/3.87 [1056]~P3(f65(f66(a87,x10561),x10562))+P3(f65(f66(a87,x10561),f67(f94(x10562),x10563))) % 3.87/3.87 [1058]~P3(f65(f66(a14,x10581),x10583))+P3(f65(f66(a14,x10581),f67(f104(x10582),x10583))) % 3.87/3.87 [1059]~P3(f65(f66(a14,x10591),x10592))+P3(f65(f66(a14,x10591),f67(f104(x10592),x10593))) % 3.87/3.87 [1060]~P3(f70(f71(a15,x10601),x10603))+P3(f70(f71(a15,x10601),f68(f105(x10602),x10603))) % 3.87/3.87 [1061]~P3(f70(f71(a15,x10611),x10612))+P3(f70(f71(a15,x10611),f68(f105(x10612),x10613))) % 3.87/3.87 [1076]E(f57(f7(x10761),x10762),f57(f7(x10763),x10762))+~P3(f62(f58(a12,x10762),f57(f76(x10761),x10763))) % 3.87/3.87 [1082]~P3(f62(f107(x10822,x10823),x10821))+P3(f62(f58(a12,x10821),f57(f76(x10822),x10823))) % 3.87/3.87 [1116]~E(x11162,a109)+P3(f65(f66(a14,f67(f104(x11161),x11162)),f67(f104(x11163),x11162))) % 3.87/3.87 [1117]~E(x11171,a109)+P3(f65(f66(a14,f67(f104(x11171),x11172)),f67(f104(x11171),x11173))) % 3.87/3.87 [1134]P3(f62(f107(x11341,x11342),x11343))+~P3(f62(f58(a12,x11343),f57(f76(x11341),x11342))) % 3.87/3.87 [1215]P3(f65(f66(a87,a109),x12151))+P3(f65(f66(a85,f67(f104(x12152),x12151)),f67(f104(x12153),x12151))) % 3.87/3.87 [1216]P3(f65(f66(a87,a109),x12161))+P3(f65(f66(a85,f67(f104(x12161),x12162)),f67(f104(x12161),x12163))) % 3.87/3.87 [1267]~P3(f62(f58(a83,x12672),x12673))+P3(f62(f58(a83,f57(f92(x12671),x12672)),f57(f92(x12671),x12673))) % 3.87/3.87 [1270]~P3(f62(f58(a84,x12701),x12703))+P3(f62(f58(a84,f57(f92(x12701),x12702)),f57(f92(x12703),x12702))) % 3.87/3.87 [1273]~P3(f65(f66(a85,x12732),x12733))+P3(f62(f58(a12,f64(f93(x12731),x12732)),f64(f93(x12731),x12733))) % 3.87/3.87 [1274]~P3(f62(f58(a12,x12741),x12743))+P3(f62(f58(a12,f64(f93(x12741),x12742)),f64(f93(x12743),x12742))) % 3.87/3.87 [1275]~P3(f65(f66(a85,x12752),x12753))+P3(f65(f66(a85,f67(f94(x12751),x12752)),f67(f94(x12751),x12753))) % 3.87/3.87 [1276]~P3(f65(f66(a85,x12761),x12763))+P3(f65(f66(a85,f67(f94(x12761),x12762)),f67(f94(x12763),x12762))) % 3.87/3.87 [1278]~P3(f65(f66(a85,x12782),x12783))+P3(f65(f66(a85,f67(f104(x12781),x12782)),f67(f104(x12781),x12783))) % 3.87/3.87 [1280]~P3(f65(f66(a85,x12801),x12803))+P3(f65(f66(a85,f67(f104(x12801),x12802)),f67(f104(x12803),x12802))) % 3.87/3.87 [1281]~P3(f65(f66(a85,x12813),x12812))+P3(f65(f66(a85,f67(f75(x12811),x12812)),f67(f75(x12811),x12813))) % 3.87/3.87 [1282]~P3(f65(f66(a85,x12821),x12823))+P3(f65(f66(a85,f67(f75(x12821),x12822)),f67(f75(x12823),x12822))) % 3.87/3.87 [1283]~P3(f65(f66(a87,x12832),x12833))+P3(f65(f66(a87,f67(f94(x12831),x12832)),f67(f94(x12831),x12833))) % 3.87/3.87 [1284]~P3(f65(f66(a87,x12841),x12843))+P3(f65(f66(a87,f67(f94(x12841),x12842)),f67(f94(x12843),x12842))) % 3.87/3.87 [1285]~P3(f65(f66(a85,x12852),x12853))+P3(f65(f66(a14,f67(f96(x12851),x12852)),f67(f96(x12851),x12853))) % 3.87/3.87 [1287]~P3(f65(f66(a14,x12871),x12873))+P3(f65(f66(a14,f67(f96(x12871),x12872)),f67(f96(x12873),x12872))) % 3.87/3.87 [1289]~P3(f65(f66(a14,x12892),x12893))+P3(f65(f66(a14,f67(f104(x12891),x12892)),f67(f104(x12891),x12893))) % 3.87/3.87 [1291]~P3(f65(f66(a14,x12911),x12913))+P3(f65(f66(a14,f67(f104(x12911),x12912)),f67(f104(x12913),x12912))) % 3.87/3.87 [1292]~P3(f70(f71(a86,x12922),x12923))+P3(f70(f71(a86,f68(f95(x12921),x12922)),f68(f95(x12921),x12923))) % 3.87/3.87 [1293]~P3(f65(f66(a85,x12932),x12933))+P3(f70(f71(a15,f69(f97(x12931),x12932)),f69(f97(x12931),x12933))) % 3.87/3.87 [1294]~P3(f70(f71(a15,x12941),x12943))+P3(f70(f71(a15,f69(f97(x12941),x12942)),f69(f97(x12943),x12942))) % 3.87/3.87 [1502]P3(f65(f66(a87,a109),x15021))+~P3(f65(f66(a87,f67(f104(x15022),x15021)),f67(f104(x15023),x15021))) % 3.87/3.87 [1503]P3(f65(f66(a87,a109),x15031))+~P3(f65(f66(a87,f67(f104(x15031),x15032)),f67(f104(x15031),x15033))) % 3.87/3.87 [1516]P3(f65(f66(a85,x15161),x15162))+~P3(f65(f66(a85,f67(f94(x15163),x15161)),f67(f94(x15163),x15162))) % 3.87/3.87 [1517]P3(f65(f66(a87,x15171),x15172))+~P3(f65(f66(a87,f67(f94(x15173),x15171)),f67(f94(x15173),x15172))) % 3.87/3.87 [1518]P3(f65(f66(a87,x15181),x15182))+~P3(f65(f66(a87,f67(f104(x15183),x15181)),f67(f104(x15183),x15182))) % 3.87/3.87 [1519]P3(f65(f66(a87,x15191),x15192))+~P3(f65(f66(a87,f67(f104(x15191),x15193)),f67(f104(x15192),x15193))) % 3.87/3.87 [938]~P3(f62(f58(a84,x9381),a1))+E(f67(f104(f79(x9381)),f67(f104(f79(x9382)),x9383)),a109) % 3.87/3.87 [1068]E(f67(f75(f67(f94(x10681),x10682)),x10683),f67(f75(x10681),f67(f75(x10683),x10682)))+~P3(f65(f66(a85,x10682),x10683)) % 3.87/3.87 [1069]E(f67(f75(f67(f94(x10691),x10692)),x10693),f67(f94(x10691),f67(f75(x10692),x10693)))+~P3(f65(f66(a85,x10693),x10692)) % 3.87/3.87 [1123]E(f67(f75(f67(f94(x11231),x11232)),x11233),f67(f94(f67(f75(x11231),x11233)),x11232))+~P3(f65(f66(a85,x11233),x11231)) % 3.87/3.87 [1172]~P3(f65(f66(a87,x11721),x11723))+P3(f65(f66(a87,f67(f75(x11721),x11722)),x11723)) % 3.87/3.87 [1266]~P3(f62(f58(a12,x12661),x12662))+P3(f62(f58(a12,x12661),f57(f92(x12662),f57(f103(x12661),x12663)))) % 3.87/3.87 [1313]P3(f62(f58(a12,x13131),x13132))+~P3(f62(f58(a12,f57(f103(x13133),x13131)),x13132)) % 3.87/3.87 [1314]P3(f62(f58(a12,x13141),x13142))+~P3(f62(f58(a12,f57(f103(x13141),x13143)),x13142)) % 3.87/3.87 [1317]P3(f65(f66(a85,x13171),x13172))+~P3(f65(f66(a85,f67(f94(x13173),x13171)),x13172)) % 3.87/3.87 [1318]P3(f65(f66(a85,x13181),x13182))+~P3(f65(f66(a85,f67(f94(x13181),x13183)),x13182)) % 3.87/3.87 [1319]P3(f65(f66(a87,x13191),x13192))+~P3(f65(f66(a87,f67(f94(x13191),x13193)),x13192)) % 3.87/3.87 [1320]P3(f65(f66(a14,x13201),x13202))+~P3(f65(f66(a14,f67(f104(x13203),x13201)),x13202)) % 3.87/3.87 [1321]P3(f65(f66(a14,x13211),x13212))+~P3(f65(f66(a14,f67(f104(x13211),x13213)),x13212)) % 3.87/3.87 [1322]P3(f70(f71(a15,x13221),x13222))+~P3(f70(f71(a15,f68(f105(x13223),x13221)),x13222)) % 3.87/3.87 [1323]P3(f70(f71(a15,x13231),x13232))+~P3(f70(f71(a15,f68(f105(x13231),x13233)),x13232)) % 3.87/3.87 [1370]~P3(f65(f66(a85,x13701),f67(f94(x13703),x13702)))+P3(f65(f66(a85,f67(f75(x13701),x13702)),x13703)) % 3.87/3.87 [1371]~P3(f65(f66(a87,x13711),f67(f75(x13713),x13712)))+P3(f65(f66(a87,f67(f94(x13711),x13712)),x13713)) % 3.87/3.87 [1400]P3(f65(f66(a85,x14001),f67(f94(x14002),x14003)))+~P3(f65(f66(a85,f67(f75(x14001),x14003)),x14002)) % 3.87/3.87 [1401]P3(f65(f66(a87,x14011),f67(f75(x14012),x14013)))+~P3(f65(f66(a87,f67(f94(x14011),x14013)),x14012)) % 3.87/3.87 [1411]~P3(f62(f107(x14111,x14113),x14112))+P3(f62(f107(f57(f7(x14111),x14112),f57(f7(x14113),x14112)),x14112)) % 3.87/3.87 [1511]P3(f62(f58(a12,x15111),x15112))+~P3(f62(f58(a12,x15111),f57(f92(x15112),f57(f103(x15111),x15113)))) % 3.87/3.87 [1638]P3(f62(f107(x16381,x16382),x16383))+~P3(f62(f107(f57(f7(x16381),x16383),f57(f7(x16382),x16383)),x16383)) % 3.87/3.87 [1776]P3(f65(f66(a87,f37(x17761,x17762,x17763)),f40(x17761,x17762,x17763)))+P3(f65(f66(a85,f67(f94(f67(x17763,x17761)),x17762)),f67(x17763,f67(f94(x17761),x17762)))) % 3.87/3.87 [1808]~P3(f65(f66(a87,f67(x18081,f37(x18082,x18083,x18081))),f67(x18081,f40(x18082,x18083,x18081))))+P3(f65(f66(a85,f67(f94(f67(x18081,x18082)),x18083)),f67(x18081,f67(f94(x18082),x18083)))) % 3.87/3.87 [1176]P3(f62(f58(a84,x11761),a1))+E(f67(f104(f79(x11761)),f67(f104(f79(x11762)),x11763)),f67(f104(f79(f57(f103(x11761),x11762))),x11763)) % 3.87/3.87 [1537]~P3(f65(f66(a85,x15373),x15372))+P3(f65(f66(a85,x15371),f67(f75(f67(f94(x15372),x15371)),x15373))) % 3.87/3.87 [1843]P3(f62(f107(f57(f103(f57(f7(x18431),x18432)),f57(f7(x18433),x18432)),f57(f103(x18431),x18433)),x18432))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18432)) % 3.87/3.87 [1063]~E(x10631,x10633)+E(f67(f94(f67(f104(x10631),x10632)),f67(f104(x10633),x10634)),f67(f94(f67(f104(x10631),x10634)),f67(f104(x10633),x10632))) % 3.87/3.87 [1065]~E(x10651,x10653)+E(f68(f95(f68(f105(x10651),x10652)),f68(f105(x10653),x10654)),f68(f95(f68(f105(x10651),x10654)),f68(f105(x10653),x10652))) % 3.87/3.87 [1408]~P3(f62(f107(x14081,x14083),x14084))+P3(f62(f107(f57(f92(x14081),x14082),f57(f92(x14083),x14082)),x14084)) % 3.87/3.87 [1409]~P3(f62(f107(x14092,x14093),x14094))+P3(f62(f107(f57(f103(x14091),x14092),f57(f103(x14091),x14093)),x14094)) % 3.87/3.87 [1410]~P3(f62(f107(x14101,x14103),x14104))+P3(f62(f107(f57(f103(x14101),x14102),f57(f103(x14103),x14102)),x14104)) % 3.87/3.87 [1412]~P3(f62(f107(x14121,x14123),x14124))+P3(f62(f107(f64(f93(x14121),x14122),f64(f93(x14123),x14122)),x14124)) % 3.87/3.87 [1716]~P3(f62(f107(f64(f93(x17161),x17162),a80),x17164))+P3(f62(f107(f64(f93(x17161),f67(f104(x17162),x17163)),a80),x17164)) % 3.87/3.87 [1809]~P3(f62(f107(f57(f103(x18092),x18093),x18094),x18091))+P3(f62(f107(f57(f103(f57(f103(f78(x18091,x18092)),x18092)),x18093),f57(f103(f78(x18091,x18092)),x18094)),x18091)) % 3.87/3.87 [1774]~P3(f65(f66(a85,x17741),x17744))+E(f67(f75(f67(f94(f67(f104(x17741),x17742)),x17743)),f67(f94(f67(f104(x17744),x17742)),x17745)),f67(f75(x17743),f67(f94(f67(f104(f67(f75(x17744),x17741)),x17742)),x17745))) % 3.87/3.87 [1799]~P3(f65(f66(a85,x17994),x17991))+E(f67(f75(f67(f94(f67(f104(x17991),x17992)),x17993)),f67(f94(f67(f104(x17994),x17992)),x17995)),f67(f75(f67(f94(f67(f104(f67(f75(x17991),x17994)),x17992)),x17993)),x17995)) % 3.87/3.87 [745]~P1(x7451)+P1(f17(x7451))+~P3(f62(a106,x7451)) % 3.87/3.87 [746]~P1(x7461)+P1(f26(x7461))+~P3(f62(a106,x7461)) % 3.87/3.87 [665]~P1(x6651)+~E(a1,x6651)+E(f57(f92(x6651),x6651),a1) % 3.87/3.87 [666]~P1(x6661)+~E(x6661,a89)+E(f57(f92(x6661),x6661),a89) % 3.87/3.87 [667]~P1(x6671)+~E(x6671,a1)+E(f57(f92(x6671),x6671),a1) % 3.87/3.87 [712]~P1(x7121)+E(x7121,a89)+~E(f57(f92(x7121),x7121),a89) % 3.87/3.87 [715]~P1(x7151)+E(x7151,a1)+~E(f57(f92(x7151),x7151),a1) % 3.87/3.87 [716]~P1(x7161)+E(a1,x7161)+~E(f57(f92(x7161),x7161),a1) % 3.87/3.87 [812]~P1(x8121)+E(x8121,a89)+~P3(f62(f58(a12,a89),x8121)) % 3.87/3.87 [817]~P1(x8171)+~P3(f62(a111,x8171))+P3(f62(f58(a84,a80),x8171)) % 3.87/3.87 [791]~P1(x7911)+~P3(f62(a106,x7911))+E(f102(f98(f17(x7911),f26(x7911))),x7911) % 3.87/3.87 [786]~P1(x7861)+~E(a4,x7861)+E(f57(f92(f57(f92(a80),x7861)),x7861),a4) % 3.87/3.87 [787]~P1(x7871)+~E(x7871,a4)+E(f57(f92(f57(f92(a80),x7871)),x7871),a4) % 3.87/3.87 [843]~P1(x8431)+E(x8431,a4)+~E(f57(f92(f57(f92(a80),x8431)),x8431),a4) % 3.87/3.87 [844]~P1(x8441)+E(a4,x8441)+~E(f57(f92(f57(f92(a80),x8441)),x8441),a4) % 3.87/3.87 [1794]~P1(x17941)+~E(x17941,a89)+E(f64(f93(x17941),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),a89) % 3.87/3.87 [1826]~P1(x18261)+E(x18261,a89)+P3(f62(f58(a84,a89),f64(f93(x18261),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [1831]~P1(x18311)+~E(x18311,a89)+~P3(f62(f58(a84,a89),f64(f93(x18311),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [723]~P1(x7232)+~P1(x7231)+P1(f78(x7231,x7232)) % 3.87/3.87 [724]~P1(x7242)+~P1(x7241)+P1(f72(x7241,x7242)) % 3.87/3.87 [725]~P1(x7252)+~P1(x7251)+P1(f73(x7251,x7252)) % 3.87/3.87 [641]~E(x6412,a110)+E(x6411,a109)+E(f69(f97(x6412),x6411),a110) % 3.87/3.87 [642]~E(x6422,a109)+E(x6421,a109)+E(f67(f96(x6422),x6421),a109) % 3.87/3.87 [644]~E(x6442,a109)+~E(x6441,a109)+E(f67(f94(x6441),x6442),a109) % 3.87/3.87 [646]~E(x6462,a81)+~E(x6461,a81)+E(f67(f104(x6461),x6462),a81) % 3.87/3.87 [695]E(x6951,a109)+E(x6952,a81)+~E(f67(f96(x6952),x6951),a81) % 3.87/3.87 [698]E(x6981,a109)+E(x6982,a109)+~E(f67(f104(x6982),x6981),a109) % 3.87/3.87 [701]E(x7011,a110)+E(x7012,a110)+~E(f68(f105(x7012),x7011),a110) % 3.87/3.87 [702]E(x7021,a81)+E(x7022,a109)+~E(f67(f104(x7022),x7021),x7022) % 3.87/3.87 [714]~P1(x7141)+E(x7141,a89)+~E(f64(f93(x7141),x7142),a89) % 3.87/3.87 [717]~P1(x7172)+~E(x7171,a109)+~E(f64(f93(x7172),x7171),a89) % 3.87/3.87 [750]E(x7501,x7502)+~E(f67(f75(x7502),x7501),a109)+~E(f67(f75(x7501),x7502),a109) % 3.87/3.87 [757]~P1(x7571)+P1(f38(x7571,x7572))+~E(f57(f7(x7571),x7572),a89) % 3.87/3.87 [758]~P1(x7581)+P1(f42(x7581,x7582))+~E(f57(f7(x7581),x7582),a89) % 3.87/3.87 [783]~P1(x7832)+E(f57(f103(x7831),f38(x7832,x7831)),x7832)+~E(f57(f7(x7832),x7831),a89) % 3.87/3.87 [784]~P1(x7842)+E(f57(f103(x7841),f42(x7842,x7841)),x7842)+~E(f57(f7(x7842),x7841),a89) % 3.87/3.87 [785]~P3(x7852)+~P3(x7851)+P3(f61(f59(a60,x7851),x7852)) % 3.87/3.87 [830]E(f72(x8301,x8302),f2(a4))+P3(f62(f99(x8302),x8301))+P3(f62(f107(x8301,a89),x8302)) % 3.87/3.87 [862]E(x8621,x8622)+P3(f65(f66(a87,x8622),x8621))+P3(f65(f66(a87,x8621),x8622)) % 3.87/3.87 [863]E(x8631,x8632)+P3(f70(f71(a88,x8632),x8631))+P3(f70(f71(a88,x8631),x8632)) % 3.87/3.87 [871]~P3(f65(x8711,x8712))+P3(f65(x8711,a109))+P3(f65(x8711,f39(x8712,x8711))) % 3.87/3.87 [872]E(f72(x8721,x8722),a80)+~P3(f62(f99(x8722),x8721))+P3(f62(f107(x8721,a89),x8722)) % 3.87/3.87 [922]E(x9221,a109)+~P3(f65(f66(a14,x9222),x9221))+P3(f65(f66(a85,x9222),x9221)) % 3.87/3.87 [926]E(x9261,x9262)+P3(f65(f66(a87,x9261),x9262))+~P3(f65(f66(a85,x9261),x9262)) % 3.87/3.87 [929]E(x9291,x9292)+P3(f70(f71(a88,x9291),x9292))+~P3(f70(f71(a86,x9291),x9292)) % 3.87/3.87 [970]E(f67(f94(f79(x9701)),f79(x9702)),f79(x9701))+P3(f62(f58(a84,x9701),a1))+~P3(f62(f58(a84,x9702),a1)) % 3.87/3.87 [990]E(x9901,x9902)+~P3(f65(f66(a85,x9902),x9901))+~P3(f65(f66(a85,x9901),x9902)) % 3.87/3.87 [1000]E(x10001,x10002)+~P3(f65(f66(a14,x10002),x10001))+~P3(f65(f66(a14,x10001),x10002)) % 3.87/3.87 [1001]E(x10011,x10012)+~P3(f70(f71(a86,x10012),x10011))+~P3(f70(f71(a86,x10011),x10012)) % 3.87/3.87 [1050]~P3(f62(f58(a12,x10501),x10502))+P3(f62(f58(a83,x10501),x10502))+P3(f62(f58(a83,x10502),a89)) % 3.87/3.87 [1066]P3(f74(x10661,f11(x10662)))+~P3(f62(f58(a84,a80),x10661))+~P3(f62(f58(a83,x10661),x10662)) % 3.87/3.87 [1098]~P3(f65(f66(a87,a109),x10982))+P3(f65(f66(a87,a109),x10981))+~P3(f65(f66(a14,x10981),x10982)) % 3.87/3.87 [1114]~P3(f62(f58(a84,a89),x11142))+~P3(f62(f58(a12,x11141),x11142))+P3(f62(f58(a83,x11141),x11142)) % 3.87/3.87 [1115]~P3(f65(f66(a87,a109),x11152))+~P3(f65(f66(a14,x11151),x11152))+P3(f65(f66(a85,x11151),x11152)) % 3.87/3.87 [1142]~P3(f65(f66(a85,f79(x11421)),f79(x11422)))+P3(f62(f58(a83,x11421),x11422))+P3(f62(f58(a83,x11421),a1)) % 3.87/3.87 [1164]~P3(f65(f66(a87,a109),x11642))+~P3(f70(f71(a88,a110),x11641))+P3(f70(f71(a88,a110),f21(x11641,x11642))) % 3.87/3.87 [1165]~P3(f65(f66(a87,a109),x11652))+~P3(f70(f71(a88,a110),x11651))+P3(f70(f71(a88,a110),f22(x11651,x11652))) % 3.87/3.87 [1166]~P3(f62(f58(a84,a1),x11662))+~P3(f62(f58(a84,x11661),x11662))+P3(f65(f66(a87,f79(x11661)),f79(x11662))) % 3.87/3.87 [1173]~P3(f62(f58(a84,a89),x11731))+~P3(f62(f58(a84,x11731),x11732))+~P3(f62(f107(x11731,a89),x11732)) % 3.87/3.87 [1174]~P3(f62(f58(a84,a89),x11741))+~P3(f62(f58(a12,x11742),x11741))+~P3(f62(f58(a84,x11741),x11742)) % 3.87/3.87 [1175]~P3(f65(f66(a87,a109),x11751))+~P3(f65(f66(a14,x11752),x11751))+~P3(f65(f66(a87,x11751),x11752)) % 3.87/3.87 [1205]P3(f62(f58(a84,a1),x12051))+~P3(f65(f66(a87,f79(x12052)),f79(x12051)))+~P3(f62(f58(a84,x12052),x12051)) % 3.87/3.87 [834]~E(x8342,a110)+~E(x8341,a110)+E(f68(f95(f68(f105(x8341),x8341)),f68(f105(x8342),x8342)),a110) % 3.87/3.87 [899]~P3(f62(a106,x8992))+~P3(f62(a106,x8991))+P3(f62(a106,f57(f103(x8991),x8992))) % 3.87/3.87 [965]E(f67(f94(f79(x9651)),f79(x9652)),f79(f57(f92(x9651),x9652)))+P3(f62(f58(a84,x9651),a1))+P3(f62(f58(a84,x9652),a1)) % 3.87/3.87 [1013]~P3(f65(x10131,x10132))+P3(f65(x10131,a109))+P3(f65(f66(a85,f39(x10132,x10131)),x10132)) % 3.87/3.87 [1014]~P3(f65(x10141,x10142))+P3(f65(x10141,a109))+P3(f65(f66(a87,f23(x10142,x10141)),x10142)) % 3.87/3.87 [1089]E(f69(f97(f21(x10891,x10892)),x10892),x10891)+~P3(f65(f66(a87,a109),x10892))+~P3(f70(f71(a88,a110),x10891)) % 3.87/3.87 [1090]E(f69(f97(f22(x10901,x10902)),x10902),x10901)+~P3(f65(f66(a87,a109),x10902))+~P3(f70(f71(a88,a110),x10901)) % 3.87/3.87 [1101]E(f67(f94(f79(x11011)),f79(x11012)),f79(f57(f92(x11011),x11012)))+~P3(f62(f58(a83,a1),x11011))+~P3(f62(f58(a83,a1),x11012)) % 3.87/3.87 [1102]E(f67(f104(f79(x11021)),f79(x11022)),f79(f57(f103(x11021),x11022)))+~P3(f62(f58(a83,a1),x11021))+~P3(f62(f58(a83,a1),x11022)) % 3.87/3.87 [1108]E(x11081,a109)+P3(f65(f66(a87,a109),x11082))+~P3(f65(f66(a87,a109),f67(f96(x11082),x11081))) % 3.87/3.87 [1184]~P3(f62(f58(a83,a89),x11842))+~P3(f62(f58(a83,a89),x11841))+P3(f62(f58(a83,a89),f57(f92(x11841),x11842))) % 3.87/3.87 [1188]~P3(f62(f58(a83,a89),x11882))+~P3(f62(f58(a83,a89),x11881))+P3(f62(f58(a83,a89),f57(f103(x11881),x11882))) % 3.87/3.87 [1189]~P3(f62(f58(a83,a89),x11892))+~P3(f62(f58(a83,a89),x11891))+P3(f62(f58(a83,a89),f57(f7(x11891),x11892))) % 3.87/3.87 [1190]~P3(f65(f66(a87,a109),x11902))+~P3(f62(f58(a84,a80),x11901))+P3(f62(f58(a84,a80),f64(f93(x11901),x11902))) % 3.87/3.87 [1191]~P3(f62(f58(a84,a89),x11912))+~P3(f62(f58(a84,a89),x11911))+P3(f62(f58(a84,a89),f57(f103(x11911),x11912))) % 3.87/3.87 [1193]~P3(f65(f66(a87,a109),x11932))+~P3(f65(f66(a87,a81),x11931))+P3(f65(f66(a87,a81),f67(f96(x11931),x11932))) % 3.87/3.87 [1195]~P3(f65(f66(a87,a109),x11952))+~P3(f65(f66(a87,a109),x11951))+P3(f65(f66(a87,a109),f67(f104(x11951),x11952))) % 3.87/3.87 [1198]~P3(f70(f71(a86,a110),x11981))+~P3(f70(f71(a86,a110),x11982))+P3(f70(f71(a86,a110),f68(f105(x11981),x11982))) % 3.87/3.87 [1199]~P3(f65(f66(a87,a109),x11992))+~P3(f70(f71(a88,a82),x11991))+P3(f70(f71(a88,a82),f69(f97(x11991),x11992))) % 3.87/3.87 [1201]~P3(f70(f71(a88,a110),x12011))+~P3(f70(f71(a88,a110),x12012))+P3(f70(f71(a88,a110),f68(f105(x12011),x12012))) % 3.87/3.87 [1206]P3(f65(f66(a87,a109),x12061))+P3(f65(f66(a87,a109),x12062))+~P3(f65(f66(a87,a109),f67(f94(x12062),x12061))) % 3.87/3.87 [1207]P3(f62(f58(a83,a89),x12072))+P3(f62(f58(a83,x12071),a89))+~P3(f62(f58(a83,a89),f57(f103(x12072),x12071))) % 3.87/3.87 [1208]P3(f62(f58(a83,a89),x12082))+P3(f62(f58(a83,x12081),a89))+~P3(f62(f58(a83,a89),f57(f103(x12081),x12082))) % 3.87/3.87 [1211]P3(f70(f71(a86,a110),x12112))+P3(f70(f71(a86,x12111),a110))+~P3(f70(f71(a86,a110),f68(f105(x12112),x12111))) % 3.87/3.87 [1212]P3(f70(f71(a86,a110),x12122))+P3(f70(f71(a86,x12121),a110))+~P3(f70(f71(a86,a110),f68(f105(x12121),x12122))) % 3.87/3.87 [1219]~P3(f62(f58(a83,x12192),a89))+~P3(f62(f58(a83,x12191),a89))+P3(f62(f58(a83,a89),f57(f103(x12191),x12192))) % 3.87/3.87 [1220]~P3(f62(f58(a84,x12202),a89))+~P3(f62(f58(a84,x12201),a89))+P3(f62(f58(a84,a89),f57(f103(x12201),x12202))) % 3.87/3.87 [1223]~P3(f70(f71(a86,x12232),a110))+~P3(f70(f71(a86,x12231),a110))+P3(f70(f71(a86,a110),f68(f105(x12231),x12232))) % 3.87/3.87 [1224]~P3(f70(f71(a88,x12242),a110))+~P3(f70(f71(a88,x12241),a110))+P3(f70(f71(a88,a110),f68(f105(x12241),x12242))) % 3.87/3.87 [1254]P3(f62(f58(a84,a89),x12541))+~P3(f62(f58(a84,a89),x12542))+~P3(f62(f58(a84,a89),f57(f103(x12542),x12541))) % 3.87/3.87 [1255]P3(f62(f58(a84,a89),x12551))+~P3(f62(f58(a84,a89),x12552))+~P3(f62(f58(a84,a89),f57(f103(x12551),x12552))) % 3.87/3.87 [1258]P3(f70(f71(a88,a110),x12581))+~P3(f70(f71(a88,a110),x12582))+~P3(f70(f71(a88,a110),f68(f105(x12582),x12581))) % 3.87/3.87 [1259]P3(f70(f71(a88,a110),x12591))+~P3(f70(f71(a88,a110),x12592))+~P3(f70(f71(a88,a110),f68(f105(x12591),x12592))) % 3.87/3.87 [1643]~P1(x16431)+E(f57(f7(x16431),x16432),x16431)+~P3(f74(x16431,f10(f8(a60,f58(a83,a89)),f9(a84,x16432)))) % 3.87/3.87 [1697]~P3(f62(f58(a84,a89),x16971))+~P3(f62(f58(a84,x16971),a80))+P3(f62(f58(a84,f57(f103(x16971),f64(f93(x16971),x16972))),f64(f93(x16971),x16972))) % 3.87/3.87 [1698]~P3(f65(f66(a87,a109),x16981))+~P3(f65(f66(a87,x16981),a81))+P3(f65(f66(a87,f67(f104(x16981),f67(f96(x16981),x16982))),f67(f96(x16981),x16982))) % 3.87/3.87 [1699]~P3(f70(f71(a88,a110),x16991))+~P3(f70(f71(a88,x16991),a82))+P3(f70(f71(a88,f68(f105(x16991),f69(f97(x16991),x16992))),f69(f97(x16991),x16992))) % 3.87/3.87 [1162]~E(x11622,a81)+~P3(f65(f66(a87,a109),x11621))+P3(f65(f66(a14,f67(f104(x11621),x11622)),x11621)) % 3.87/3.87 [1163]~E(x11631,a81)+~P3(f65(f66(a87,a109),x11632))+P3(f65(f66(a14,f67(f104(x11631),x11632)),x11632)) % 3.87/3.87 [1229]~P3(f65(x12291,x12292))+P3(f65(x12291,a109))+P3(f65(x12291,f67(f94(f23(x12292,x12291)),a81))) % 3.87/3.87 [1333]~P3(f65(f66(a87,a109),x13331))+~P3(f65(f66(a87,a109),x13332))+P3(f65(f66(a87,f67(f75(x13331),x13332)),x13331)) % 3.87/3.87 [1337]~P3(f62(f58(a83,a89),x13371))+~P3(f62(f58(a83,x13372),a89))+P3(f62(f58(a83,f57(f103(x13371),x13372)),a89)) % 3.87/3.87 [1340]~P3(f62(f58(a83,a89),x13402))+~P3(f62(f58(a83,x13401),a89))+P3(f62(f58(a83,f57(f103(x13401),x13402)),a89)) % 3.87/3.87 [1342]~P3(f62(f58(a84,a89),x13421))+~P3(f62(f58(a84,x13422),a89))+P3(f62(f58(a84,f57(f103(x13421),x13422)),a89)) % 3.87/3.87 [1343]~P3(f62(f58(a84,a89),x13432))+~P3(f62(f58(a84,x13431),a89))+P3(f62(f58(a84,f57(f103(x13431),x13432)),a89)) % 3.87/3.87 [1346]~P3(f65(f66(a85,a109),x13461))+~P3(f65(f66(a85,x13462),a109))+P3(f65(f66(a85,f67(f104(x13461),x13462)),a109)) % 3.87/3.87 [1348]~P3(f65(f66(a85,a109),x13482))+~P3(f65(f66(a85,x13481),a109))+P3(f65(f66(a85,f67(f104(x13481),x13482)),a109)) % 3.87/3.87 [1355]~P3(f70(f71(a86,a110),x13551))+~P3(f70(f71(a86,x13552),a110))+P3(f70(f71(a86,f68(f105(x13551),x13552)),a110)) % 3.87/3.87 [1358]~P3(f70(f71(a86,a110),x13582))+~P3(f70(f71(a86,x13581),a110))+P3(f70(f71(a86,f68(f105(x13581),x13582)),a110)) % 3.87/3.87 [1360]~P3(f70(f71(a88,a110),x13601))+~P3(f70(f71(a88,x13602),a110))+P3(f70(f71(a88,f68(f105(x13601),x13602)),a110)) % 3.87/3.87 [1361]~P3(f70(f71(a88,a110),x13612))+~P3(f70(f71(a88,x13611),a110))+P3(f70(f71(a88,f68(f105(x13611),x13612)),a110)) % 3.87/3.87 [1374]E(x13741,a81)+~P3(f65(f66(a87,a109),x13742))+~P3(f65(f66(a14,f67(f104(x13742),x13741)),x13742)) % 3.87/3.87 [1375]E(x13751,a81)+~P3(f65(f66(a87,a109),x13752))+~P3(f65(f66(a14,f67(f104(x13751),x13752)),x13752)) % 3.87/3.87 [1383]P3(f62(f58(a83,a89),x13831))+P3(f62(f58(a83,a89),x13832))+~P3(f62(f58(a83,f57(f103(x13831),x13832)),a89)) % 3.87/3.87 [1384]P3(f70(f71(a86,a110),x13841))+P3(f70(f71(a86,a110),x13842))+~P3(f70(f71(a86,f68(f105(x13841),x13842)),a110)) % 3.87/3.87 [1392]P3(f62(f58(a83,x13921),a89))+P3(f62(f58(a83,x13922),a89))+~P3(f62(f58(a83,f57(f103(x13922),x13921)),a89)) % 3.87/3.87 [1393]P3(f70(f71(a86,x13931),a110))+P3(f70(f71(a86,x13932),a110))+~P3(f70(f71(a86,f68(f105(x13932),x13931)),a110)) % 3.87/3.87 [1397]E(f57(f92(x13971),x13972),f57(f7(x13971),x13972))+~P3(f62(f58(a84,a89),x13971))+~P3(f62(f58(a83,f57(f92(x13971),x13972)),a89)) % 3.87/3.87 [1413]P3(f62(x14131,x14132))+~P3(f62(f58(a84,a80),f28(x14132,x14131)))+P3(f62(x14131,f57(f76(f28(x14132,x14131)),a80))) % 3.87/3.87 [1726]~E(x17261,a110)+~E(x17262,a110)+~P3(f70(f71(a88,a110),f68(f95(f68(f105(x17262),x17262)),f68(f105(x17261),x17261)))) % 3.87/3.87 [1746]~E(x17462,a110)+~E(x17461,a110)+P3(f70(f71(a86,f68(f95(f68(f105(x17461),x17461)),f68(f105(x17462),x17462))),a110)) % 3.87/3.87 [1828]~E(x18282,a110)+~E(x18281,a110)+E(f68(f95(f69(f97(x18281),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18282),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a110) % 3.87/3.87 [1833]~P3(f62(f107(x18331,a80),x18332))+~P3(f62(f107(x18331,f2(a4)),x18332))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18332)) % 3.87/3.87 [1862]~P3(f62(f58(a83,a89),x18622))+P3(f62(f58(a83,x18621),x18622))+~P3(f62(f58(a83,f64(f93(x18621),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18622),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [1864]~P3(f65(f66(a85,a109),x18642))+P3(f65(f66(a85,x18641),x18642))+~P3(f65(f66(a85,f67(f96(x18641),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f67(f96(x18642),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [1866]~P3(f70(f71(a86,a110),x18662))+P3(f70(f71(a86,x18661),x18662))+~P3(f70(f71(a86,f69(f97(x18661),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18662),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))) % 3.87/3.87 [1874]~E(x18741,a110)+~E(x18742,a110)+~P3(f70(f71(a88,a110),f68(f95(f69(f97(x18742),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18741),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.87 [1877]~E(x18772,a110)+~E(x18771,a110)+P3(f70(f71(a86,f68(f95(f69(f97(x18771),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f69(f97(x18772),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a110)) % 3.87/3.87 [1880]~P1(x18801)+E(x18801,a89)+~P3(f62(f58(a83,f64(f93(x18801),f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18802))),a89)) % 3.87/3.87 [813]~P4(x8131,x8132,x8133)+~E(x8133,a89)+P3(f62(x8131,x8132)) % 3.87/3.87 [747]~P1(x7471)+~E(f57(f76(x7471),x7473),x7472)+E(x7471,f57(f92(x7472),x7473)) % 3.87/3.87 [752]E(x7521,x7522)+E(x7523,a109)+~E(f67(f104(x7523),x7521),f67(f104(x7523),x7522)) % 3.87/3.87 [753]E(x7531,x7532)+E(x7533,a110)+~E(f68(f105(x7533),x7531),f68(f105(x7533),x7532)) % 3.87/3.87 [754]E(x7541,x7542)+E(x7543,a109)+~E(f67(f104(x7541),x7543),f67(f104(x7542),x7543)) % 3.87/3.87 [755]E(x7551,x7552)+E(x7553,a110)+~E(f68(f105(x7551),x7553),f68(f105(x7552),x7553)) % 3.87/3.87 [883]~E(f67(f75(x8831),x8833),x8832)+E(x8831,f67(f94(x8832),x8833))+~P3(f65(f66(a85,x8833),x8831)) % 3.87/3.87 [884]~E(x8841,f67(f94(x8843),x8842))+E(f67(f75(x8841),x8842),x8843)+~P3(f65(f66(a85,x8842),x8841)) % 3.87/3.87 [885]E(x8851,x8852)+~E(f64(f93(x8853),x8851),f64(f93(x8853),x8852))+~P3(f62(f58(a84,a80),x8853)) % 3.87/3.87 [886]E(x8861,x8862)+~E(f67(f96(x8863),x8861),f67(f96(x8863),x8862))+~P3(f65(f66(a87,a81),x8863)) % 3.87/3.87 [888]E(x8881,x8882)+~E(f67(f104(x8883),x8881),f67(f104(x8883),x8882))+~P3(f65(f66(a87,a109),x8883)) % 3.87/3.87 [889]E(x8891,x8892)+~E(f69(f97(x8893),x8891),f69(f97(x8893),x8892))+~P3(f70(f71(a88,a82),x8893)) % 3.87/3.87 [1005]~P1(x10052)+P1(f19(x10051,x10052,x10053))+~P3(f62(f107(x10051,x10052),x10053)) % 3.87/3.87 [1078]E(f57(f7(x10781),x10782),f57(f7(x10783),x10782))+~P3(f62(f107(x10781,x10783),x10782))+~P3(f62(f58(a84,a89),x10782)) % 3.87/3.87 [1127]~P3(f62(f58(a83,x11271),x11273))+P3(f62(f58(a83,x11271),x11272))+~P3(f62(f58(a83,x11273),x11272)) % 3.87/3.87 [1128]~P3(f62(f58(a12,x11281),x11283))+P3(f62(f58(a12,x11281),x11282))+~P3(f62(f58(a12,x11283),x11282)) % 3.87/3.87 [1129]~P3(f65(f66(a85,x11291),x11293))+P3(f65(f66(a85,x11291),x11292))+~P3(f65(f66(a85,x11293),x11292)) % 3.87/3.87 [1131]~P3(f65(f66(a14,x11311),x11313))+P3(f65(f66(a14,x11311),x11312))+~P3(f65(f66(a14,x11313),x11312)) % 3.87/3.87 [1132]~P3(f70(f71(a86,x11321),x11323))+P3(f70(f71(a86,x11321),x11322))+~P3(f70(f71(a86,x11323),x11322)) % 3.87/3.87 [1133]~P3(f70(f71(a15,x11331),x11333))+P3(f70(f71(a15,x11331),x11332))+~P3(f70(f71(a15,x11333),x11332)) % 3.87/3.87 [869]~E(x8693,a109)+~P3(f65(x8691,x8692))+P3(f65(x8691,f67(f13(x8692),x8693))) % 3.87/3.87 [936]~E(x9363,a109)+P3(f65(x9361,x9362))+~P3(f65(x9361,f67(f13(x9362),x9363))) % 3.87/3.87 [1070]E(f67(f94(x10701),f24(x10702,x10703,x10701)),x10703)+~P3(f65(x10702,a109))+P3(f65(x10702,f67(f75(x10703),x10701))) % 3.87/3.87 [1071]E(f67(f94(x10711),f25(x10712,x10713,x10711)),x10713)+~P3(f65(x10712,a109))+P3(f65(x10712,f67(f75(x10713),x10711))) % 3.87/3.87 [1120]E(f67(f94(x11201),f24(x11202,x11203,x11201)),x11203)+P3(f65(f66(a87,x11203),x11201))+P3(f65(x11202,f67(f75(x11203),x11201))) % 3.87/3.87 [1121]E(f67(f94(x11211),f25(x11212,x11213,x11211)),x11213)+P3(f65(f66(a87,x11213),x11211))+P3(f65(x11212,f67(f75(x11213),x11211))) % 3.87/3.87 [1125]P3(f65(x11251,a109))+~P3(f65(f66(a87,x11252),x11253))+~P3(f65(x11251,f67(f75(x11252),x11253))) % 3.87/3.87 [1182]~P3(f62(a111,x11821))+P3(f62(f58(a12,x11821),x11822))+~P3(f62(f58(a12,x11821),f64(f93(x11822),x11823))) % 3.87/3.87 [1226]~P3(f62(f58(a84,a89),x12262))+~P3(f62(f58(a84,x12261),x12263))+P3(f62(f58(a84,x12261),f57(f92(x12262),x12263))) % 3.87/3.87 [1227]~P3(f65(f66(a87,a109),x12273))+~P3(f62(f58(a12,x12271),x12272))+P3(f62(f58(a12,x12271),f64(f93(x12272),x12273))) % 3.87/3.87 [1231]~P3(f62(f58(a12,x12311),x12312))+~P3(f62(f58(a12,x12311),x12313))+P3(f62(f58(a12,x12311),f57(f92(x12312),x12313))) % 3.87/3.87 [1232]~P3(f62(f58(a12,x12321),x12322))+~P3(f62(f58(a12,x12321),x12323))+P3(f62(f58(a12,x12321),f57(f76(x12322),x12323))) % 3.87/3.87 [1233]~P3(f62(f58(a12,x12331),x12332))+~P3(f62(f58(a12,x12331),x12333))+P3(f62(f58(a12,x12331),f57(f7(x12332),x12333))) % 3.87/3.87 [1234]~P3(f65(f66(a14,x12341),x12342))+~P3(f65(f66(a14,x12341),x12343))+P3(f65(f66(a14,x12341),f67(f94(x12342),x12343))) % 3.87/3.87 [1235]~P3(f65(f66(a14,x12351),x12352))+~P3(f65(f66(a14,x12351),x12353))+P3(f65(f66(a14,x12351),f67(f75(x12352),x12353))) % 3.87/3.87 [1236]~P3(f70(f71(a15,x12361),x12362))+~P3(f70(f71(a15,x12361),x12363))+P3(f70(f71(a15,x12361),f68(f95(x12362),x12363))) % 3.87/3.87 [1237]~P3(f70(f71(a15,x12371),x12372))+~P3(f70(f71(a15,x12371),x12373))+P3(f70(f71(a15,x12371),f68(f77(x12372),x12373))) % 3.87/3.87 [1242]E(f67(f75(f67(f75(x12421),x12422)),f67(f75(x12423),x12422)),f67(f75(x12421),x12423))+~P3(f65(f66(a85,x12422),x12421))+~P3(f65(f66(a85,x12422),x12423)) % 3.87/3.87 [1252]~P1(x12523)+E(f57(f92(x12521),f57(f103(x12522),f19(x12521,x12523,x12522))),x12523)+~P3(f62(f107(x12521,x12523),x12522)) % 3.87/3.87 [1324]~P3(f62(f58(a12,x13241),x13243))+P3(f62(f58(a12,x13241),x13242))+~P3(f62(f58(a12,x13241),f57(f76(x13242),x13243))) % 3.87/3.87 [1325]~P3(f62(f58(a12,x13251),x13253))+P3(f62(f58(a12,x13251),x13252))+~P3(f62(f58(a12,x13251),f57(f7(x13252),x13253))) % 3.87/3.87 [1326]~P3(f65(f66(a14,x13261),x13263))+P3(f65(f66(a14,x13261),x13262))+~P3(f65(f66(a14,x13261),f67(f94(x13263),x13262))) % 3.87/3.87 [1380]E(x13801,a109)+~P3(f65(x13802,f46(x13802,x13803,x13801)))+P3(f65(x13802,f67(f13(x13803),x13801))) % 3.87/3.87 [1419]~P3(f65(x14191,a109))+~P3(f65(x14191,f24(x14191,x14192,x14193)))+P3(f65(x14191,f67(f75(x14192),x14193))) % 3.87/3.87 [1420]~P3(f65(x14201,a109))+~P3(f65(x14201,f25(x14201,x14202,x14203)))+P3(f65(x14201,f67(f75(x14202),x14203))) % 3.87/3.87 [1422]~P3(f62(f58(a83,a89),x14221))+~P3(f62(f58(a83,x14222),x14223))+P3(f62(f58(a83,f57(f103(x14221),x14222)),f57(f103(x14221),x14223))) % 3.87/3.87 [1423]~P3(f62(f58(a83,a89),x14232))+~P3(f62(f58(a83,x14231),x14233))+P3(f62(f58(a83,f57(f103(x14231),x14232)),f57(f103(x14233),x14232))) % 3.87/3.87 [1424]~P3(f62(f58(a83,a80),x14241))+~P3(f65(f66(a85,x14242),x14243))+P3(f62(f58(a83,f64(f93(x14241),x14242)),f64(f93(x14241),x14243))) % 3.87/3.87 [1425]~P3(f62(f58(a84,a80),x14251))+~P3(f65(f66(a85,x14252),x14253))+P3(f62(f58(a83,f64(f93(x14251),x14252)),f64(f93(x14251),x14253))) % 3.87/3.87 [1426]~P3(f62(f58(a83,a89),x14261))+~P3(f62(f58(a83,x14261),x14263))+P3(f62(f58(a83,f64(f93(x14261),x14262)),f64(f93(x14263),x14262))) % 3.87/3.87 [1432]~P3(f62(f58(a84,a89),x14322))+~P3(f62(f58(a84,x14321),x14323))+P3(f62(f58(a84,f57(f103(x14321),x14322)),f57(f103(x14323),x14322))) % 3.87/3.87 [1433]~P3(f62(f58(a84,a89),x14331))+~P3(f62(f58(a84,x14332),x14333))+P3(f62(f58(a84,f57(f103(x14331),x14332)),f57(f103(x14331),x14333))) % 3.87/3.87 [1435]~P3(f62(f58(a84,a80),x14351))+~P3(f65(f66(a87,x14352),x14353))+P3(f62(f58(a84,f64(f93(x14351),x14352)),f64(f93(x14351),x14353))) % 3.87/3.87 [1436]~P3(f65(f66(a85,a81),x14361))+~P3(f65(f66(a85,x14362),x14363))+P3(f65(f66(a85,f67(f96(x14361),x14362)),f67(f96(x14361),x14363))) % 3.87/3.87 [1437]~P3(f65(f66(a87,a81),x14371))+~P3(f65(f66(a85,x14372),x14373))+P3(f65(f66(a85,f67(f96(x14371),x14372)),f67(f96(x14371),x14373))) % 3.87/3.87 [1438]~P3(f65(f66(a85,a109),x14381))+~P3(f65(f66(a85,x14381),x14383))+P3(f65(f66(a85,f67(f96(x14381),x14382)),f67(f96(x14383),x14382))) % 3.87/3.88 [1444]~P3(f65(f66(a87,a81),x14441))+~P3(f65(f66(a87,x14442),x14443))+P3(f65(f66(a87,f67(f96(x14441),x14442)),f67(f96(x14441),x14443))) % 3.87/3.88 [1451]~P3(f65(f66(a87,a109),x14512))+~P3(f65(f66(a87,x14511),x14513))+P3(f65(f66(a87,f67(f104(x14511),x14512)),f67(f104(x14513),x14512))) % 3.87/3.88 [1452]~P3(f65(f66(a87,a109),x14521))+~P3(f65(f66(a87,x14522),x14523))+P3(f65(f66(a87,f67(f104(x14521),x14522)),f67(f104(x14521),x14523))) % 3.87/3.88 [1455]~P3(f70(f71(a86,a110),x14551))+~P3(f70(f71(a86,x14552),x14553))+P3(f70(f71(a86,f68(f105(x14551),x14552)),f68(f105(x14551),x14553))) % 3.87/3.88 [1456]~P3(f70(f71(a88,a110),x14561))+~P3(f70(f71(a86,x14562),x14563))+P3(f70(f71(a86,f68(f105(x14561),x14562)),f68(f105(x14561),x14563))) % 3.87/3.88 [1457]~P3(f70(f71(a86,a110),x14572))+~P3(f70(f71(a86,x14571),x14573))+P3(f70(f71(a86,f68(f105(x14571),x14572)),f68(f105(x14573),x14572))) % 3.87/3.88 [1458]~P3(f70(f71(a88,a110),x14582))+~P3(f70(f71(a86,x14581),x14583))+P3(f70(f71(a86,f68(f105(x14581),x14582)),f68(f105(x14583),x14582))) % 3.87/3.88 [1459]~P3(f70(f71(a86,a82),x14591))+~P3(f65(f66(a85,x14592),x14593))+P3(f70(f71(a86,f69(f97(x14591),x14592)),f69(f97(x14591),x14593))) % 3.87/3.88 [1460]~P3(f70(f71(a88,a82),x14601))+~P3(f65(f66(a85,x14602),x14603))+P3(f70(f71(a86,f69(f97(x14601),x14602)),f69(f97(x14601),x14603))) % 3.87/3.88 [1461]~P3(f70(f71(a86,a110),x14611))+~P3(f70(f71(a86,x14611),x14613))+P3(f70(f71(a86,f69(f97(x14611),x14612)),f69(f97(x14613),x14612))) % 3.87/3.88 [1467]~P3(f70(f71(a88,a110),x14672))+~P3(f70(f71(a88,x14671),x14673))+P3(f70(f71(a88,f68(f105(x14671),x14672)),f68(f105(x14673),x14672))) % 3.87/3.88 [1469]~P3(f70(f71(a88,a110),x14691))+~P3(f70(f71(a88,x14692),x14693))+P3(f70(f71(a88,f68(f105(x14691),x14692)),f68(f105(x14691),x14693))) % 3.87/3.88 [1471]~P3(f70(f71(a88,a82),x14711))+~P3(f65(f66(a87,x14712),x14713))+P3(f70(f71(a88,f69(f97(x14711),x14712)),f69(f97(x14711),x14713))) % 3.87/3.88 [1472]~P3(f65(x14721,x14722))+~P3(f65(x14721,f46(x14721,x14722,x14723)))+P3(f65(x14721,f67(f13(x14722),x14723))) % 3.87/3.88 [1473]~P3(f62(f58(a83,x14733),x14732))+~P3(f62(f58(a83,x14731),a89))+P3(f62(f58(a83,f57(f103(x14731),x14732)),f57(f103(x14731),x14733))) % 3.87/3.88 [1474]~P3(f62(f58(a83,x14743),x14741))+~P3(f62(f58(a83,x14742),a89))+P3(f62(f58(a83,f57(f103(x14741),x14742)),f57(f103(x14743),x14742))) % 3.87/3.88 [1478]~P3(f62(f58(a84,x14783),x14781))+~P3(f62(f58(a84,x14782),a89))+P3(f62(f58(a84,f57(f103(x14781),x14782)),f57(f103(x14783),x14782))) % 3.87/3.88 [1479]~P3(f62(f58(a84,x14793),x14792))+~P3(f62(f58(a84,x14791),a89))+P3(f62(f58(a84,f57(f103(x14791),x14792)),f57(f103(x14791),x14793))) % 3.87/3.88 [1480]~P3(f70(f71(a86,x14803),x14802))+~P3(f70(f71(a86,x14801),a110))+P3(f70(f71(a86,f68(f105(x14801),x14802)),f68(f105(x14801),x14803))) % 3.87/3.88 [1481]~P3(f70(f71(a86,x14813),x14811))+~P3(f70(f71(a86,x14812),a110))+P3(f70(f71(a86,f68(f105(x14811),x14812)),f68(f105(x14813),x14812))) % 3.87/3.88 [1485]~P3(f70(f71(a88,x14853),x14851))+~P3(f70(f71(a88,x14852),a110))+P3(f70(f71(a88,f68(f105(x14851),x14852)),f68(f105(x14853),x14852))) % 3.87/3.88 [1486]~P3(f70(f71(a88,x14863),x14862))+~P3(f70(f71(a88,x14861),a110))+P3(f70(f71(a88,f68(f105(x14861),x14862)),f68(f105(x14861),x14863))) % 3.87/3.88 [1494]~P3(f65(f66(a87,x14943),x14942))+~P3(f65(f66(a87,x14943),x14941))+P3(f65(f66(a87,f67(f75(x14941),x14942)),f67(f75(x14941),x14943))) % 3.87/3.88 [1495]~P3(f65(f66(a85,x14952),x14951))+~P3(f65(f66(a87,x14951),x14953))+P3(f65(f66(a87,f67(f75(x14951),x14952)),f67(f75(x14953),x14952))) % 3.87/3.88 [1524]E(x15241,a109)+P3(f62(f58(a12,x15242),x15243))+~P3(f62(f58(a12,f64(f93(x15242),x15241)),f64(f93(x15243),x15241))) % 3.87/3.88 [1526]E(x15261,a109)+P3(f65(f66(a14,x15262),x15263))+~P3(f65(f66(a14,f67(f96(x15262),x15261)),f67(f96(x15263),x15261))) % 3.87/3.88 [1527]E(x15271,a109)+P3(f65(f66(a14,x15272),x15273))+~P3(f65(f66(a14,f67(f104(x15272),x15271)),f67(f104(x15273),x15271))) % 3.87/3.88 [1528]E(x15281,a109)+P3(f65(f66(a14,x15282),x15283))+~P3(f65(f66(a14,f67(f104(x15281),x15282)),f67(f104(x15281),x15283))) % 3.87/3.88 [1532]~P3(f65(x15323,f24(x15323,x15321,x15322)))+P3(f65(f66(a87,x15321),x15322))+P3(f65(x15323,f67(f75(x15321),x15322))) % 3.87/3.88 [1533]~P3(f65(x15333,f25(x15333,x15331,x15332)))+P3(f65(f66(a87,x15331),x15332))+P3(f65(x15333,f67(f75(x15331),x15332))) % 3.87/3.88 [1549]E(x15491,a109)+P3(f65(x15492,f67(f13(x15493),x15491)))+P3(f65(f66(a87,f46(x15492,x15493,x15491)),x15491)) % 3.87/3.88 [1552]P3(f62(f58(a84,a89),x15521))+P3(f62(f58(a84,x15521),a89))+~P3(f62(f58(a84,f57(f103(x15522),x15521)),f57(f103(x15523),x15521))) % 3.87/3.88 [1553]P3(f62(f58(a84,a89),x15531))+P3(f62(f58(a84,x15531),a89))+~P3(f62(f58(a84,f57(f103(x15531),x15532)),f57(f103(x15531),x15533))) % 3.87/3.88 [1554]P3(f70(f71(a88,a110),x15541))+P3(f70(f71(a88,x15541),a110))+~P3(f70(f71(a88,f68(f105(x15542),x15541)),f68(f105(x15543),x15541))) % 3.87/3.88 [1555]P3(f70(f71(a88,a110),x15551))+P3(f70(f71(a88,x15551),a110))+~P3(f70(f71(a88,f68(f105(x15551),x15552)),f68(f105(x15551),x15553))) % 3.87/3.88 [1557]P3(f62(f58(a84,a89),x15573))+P3(f62(f58(a84,x15571),x15572))+~P3(f62(f58(a84,f57(f103(x15573),x15572)),f57(f103(x15573),x15571))) % 3.87/3.88 [1558]P3(f62(f58(a84,a89),x15583))+P3(f62(f58(a84,x15581),x15582))+~P3(f62(f58(a84,f57(f103(x15582),x15583)),f57(f103(x15581),x15583))) % 3.87/3.88 [1559]P3(f70(f71(a88,a110),x15593))+P3(f70(f71(a88,x15591),x15592))+~P3(f70(f71(a88,f68(f105(x15593),x15592)),f68(f105(x15593),x15591))) % 3.87/3.88 [1560]P3(f70(f71(a88,a110),x15603))+P3(f70(f71(a88,x15601),x15602))+~P3(f70(f71(a88,f68(f105(x15602),x15603)),f68(f105(x15601),x15603))) % 3.87/3.88 [1562]P3(f62(f58(a84,x15621),x15622))+P3(f62(f58(a84,x15623),a89))+~P3(f62(f58(a84,f57(f103(x15621),x15623)),f57(f103(x15622),x15623))) % 3.87/3.88 [1563]P3(f62(f58(a84,x15631),x15632))+P3(f62(f58(a84,x15633),a89))+~P3(f62(f58(a84,f57(f103(x15633),x15631)),f57(f103(x15633),x15632))) % 3.87/3.88 [1564]P3(f70(f71(a88,x15641),x15642))+P3(f70(f71(a88,x15643),a110))+~P3(f70(f71(a88,f68(f105(x15641),x15643)),f68(f105(x15642),x15643))) % 3.87/3.88 [1565]P3(f70(f71(a88,x15651),x15652))+P3(f70(f71(a88,x15653),a110))+~P3(f70(f71(a88,f68(f105(x15653),x15651)),f68(f105(x15653),x15652))) % 3.87/3.88 [1567]P3(f62(f58(a84,x15672),x15671))+P3(f62(f58(a84,x15671),x15672))+~P3(f62(f58(a84,f57(f103(x15673),x15671)),f57(f103(x15673),x15672))) % 3.87/3.88 [1568]P3(f62(f58(a84,x15682),x15681))+P3(f62(f58(a84,x15681),x15682))+~P3(f62(f58(a84,f57(f103(x15681),x15683)),f57(f103(x15682),x15683))) % 3.87/3.88 [1569]P3(f70(f71(a88,x15692),x15691))+P3(f70(f71(a88,x15691),x15692))+~P3(f70(f71(a88,f68(f105(x15693),x15691)),f68(f105(x15693),x15692))) % 3.87/3.88 [1570]P3(f70(f71(a88,x15702),x15701))+P3(f70(f71(a88,x15701),x15702))+~P3(f70(f71(a88,f68(f105(x15701),x15703)),f68(f105(x15702),x15703))) % 3.87/3.88 [1591]~P3(f65(x15911,x15912))+P3(f65(x15911,f67(f13(x15912),x15913)))+P3(f65(f66(a87,f46(x15911,x15912,x15913)),x15913)) % 3.87/3.88 [1597]~P3(f62(f58(a84,a89),x15973))+P3(f62(f58(a84,x15971),x15972))+~P3(f62(f58(a84,f57(f103(x15973),x15971)),f57(f103(x15973),x15972))) % 3.87/3.88 [1598]~P3(f62(f58(a83,a89),x15982))+P3(f62(f58(a84,x15981),x15982))+~P3(f62(f58(a84,f64(f93(x15981),x15983)),f64(f93(x15982),x15983))) % 3.87/3.88 [1600]~P3(f62(f58(a84,a80),x16003))+P3(f65(f66(a85,x16001),x16002))+~P3(f62(f58(a83,f64(f93(x16003),x16001)),f64(f93(x16003),x16002))) % 3.87/3.88 [1602]~P3(f65(f66(a87,a81),x16023))+P3(f65(f66(a85,x16021),x16022))+~P3(f65(f66(a85,f67(f96(x16023),x16021)),f67(f96(x16023),x16022))) % 3.87/3.88 [1603]~P3(f65(f66(a87,a81),x16033))+P3(f65(f66(a85,x16031),x16032))+~P3(f65(f66(a14,f67(f96(x16033),x16031)),f67(f96(x16033),x16032))) % 3.87/3.88 [1605]~P3(f65(f66(a87,a109),x16053))+P3(f65(f66(a85,x16051),x16052))+~P3(f65(f66(a85,f67(f104(x16053),x16051)),f67(f104(x16053),x16052))) % 3.87/3.88 [1607]~P3(f70(f71(a88,a82),x16073))+P3(f65(f66(a85,x16071),x16072))+~P3(f70(f71(a86,f69(f97(x16073),x16071)),f69(f97(x16073),x16072))) % 3.87/3.88 [1608]~P3(f65(f66(a87,a109),x16083))+P3(f65(f66(a85,x16081),x16082))+~P3(f65(f66(a85,f67(f104(x16081),x16083)),f67(f104(x16082),x16083))) % 3.87/3.88 [1610]~P3(f62(f58(a84,a80),x16103))+P3(f65(f66(a87,x16101),x16102))+~P3(f62(f58(a84,f64(f93(x16103),x16101)),f64(f93(x16103),x16102))) % 3.87/3.88 [1612]~P3(f65(f66(a87,a81),x16123))+P3(f65(f66(a87,x16121),x16122))+~P3(f65(f66(a87,f67(f96(x16123),x16121)),f67(f96(x16123),x16122))) % 3.87/3.88 [1613]~P3(f65(f66(a87,a109),x16133))+P3(f65(f66(a87,x16131),x16132))+~P3(f65(f66(a87,f67(f96(x16133),x16131)),f67(f96(x16133),x16132))) % 3.87/3.88 [1616]~P3(f70(f71(a88,a82),x16163))+P3(f65(f66(a87,x16161),x16162))+~P3(f70(f71(a88,f69(f97(x16163),x16161)),f69(f97(x16163),x16162))) % 3.87/3.88 [1617]~P3(f65(f66(a85,a109),x16172))+P3(f65(f66(a87,x16171),x16172))+~P3(f65(f66(a87,f67(f96(x16171),x16173)),f67(f96(x16172),x16173))) % 3.87/3.88 [1619]~P3(f65(f66(a87,a109),x16193))+P3(f65(f66(a14,x16191),x16192))+~P3(f65(f66(a14,f67(f104(x16193),x16191)),f67(f104(x16193),x16192))) % 3.87/3.88 [1620]~P3(f70(f71(a88,a110),x16203))+P3(f70(f71(a86,x16201),x16202))+~P3(f70(f71(a86,f68(f105(x16203),x16201)),f68(f105(x16203),x16202))) % 3.87/3.88 [1621]~P3(f70(f71(a88,a110),x16213))+P3(f70(f71(a86,x16211),x16212))+~P3(f70(f71(a86,f68(f105(x16211),x16213)),f68(f105(x16212),x16213))) % 3.87/3.88 [1622]~P3(f70(f71(a88,a110),x16223))+P3(f70(f71(a88,x16221),x16222))+~P3(f70(f71(a88,f68(f105(x16223),x16221)),f68(f105(x16223),x16222))) % 3.87/3.88 [1623]~P3(f70(f71(a86,a110),x16232))+P3(f70(f71(a88,x16231),x16232))+~P3(f70(f71(a88,f69(f97(x16231),x16233)),f69(f97(x16232),x16233))) % 3.87/3.88 [1624]~P3(f70(f71(a88,a110),x16243))+P3(f70(f71(a88,x16241),x16242))+~P3(f70(f71(a88,f68(f105(x16241),x16243)),f68(f105(x16242),x16243))) % 3.87/3.88 [1627]P3(f62(f58(a84,x16271),x16272))+~P3(f62(f58(a84,x16273),a89))+~P3(f62(f58(a84,f57(f103(x16273),x16272)),f57(f103(x16273),x16271))) % 3.87/3.88 [1628]P3(f70(f71(a88,x16281),x16282))+~P3(f70(f71(a88,x16283),a110))+~P3(f70(f71(a88,f68(f105(x16283),x16282)),f68(f105(x16283),x16281))) % 3.87/3.88 [1664]E(x16641,a109)+E(f67(f94(f67(f104(x16641),f47(x16642,x16643,x16641))),f46(x16642,x16643,x16641)),x16643)+P3(f65(x16642,f67(f13(x16643),x16641))) % 3.87/3.88 [1677]~P3(f65(x16772,x16773))+E(f67(f94(f67(f104(x16771),f47(x16772,x16773,x16771))),f46(x16772,x16773,x16771)),x16773)+P3(f65(x16772,f67(f13(x16773),x16771))) % 3.87/3.88 [1171]~P3(f62(f58(a84,a89),x11713))+E(f57(f7(f57(f7(x11711),x11712)),x11713),f57(f7(x11711),x11713))+~P3(f62(f58(a12,x11713),x11712)) % 3.87/3.88 [1329]E(x13291,a109)+P3(f65(f66(a14,x13292),x13293))+~P3(f65(f66(a14,f67(f96(x13292),x13291)),x13293)) % 3.87/3.88 [1487]~P3(f62(f58(a84,a80),x14872))+P3(f74(x14871,f108(x14872,x14873)))+~P3(f74(x14871,f108(f57(f76(x14872),a80),x14873))) % 3.87/3.88 [1539]~P3(f65(f66(a85,x15392),x15393))+~P3(f65(f66(a85,x15391),f67(f75(x15393),x15392)))+P3(f65(f66(a85,f67(f94(x15391),x15392)),x15393)) % 3.87/3.88 [1571]~P3(f65(f66(a85,x15713),x15712))+P3(f65(f66(a85,x15711),f67(f75(x15712),x15713)))+~P3(f65(f66(a85,f67(f94(x15711),x15713)),x15712)) % 3.87/3.88 [1835]~P3(f62(f107(x18352,x18353),x18351))+P3(f62(f107(f78(x18351,x18352),f78(x18351,x18353)),x18351))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18351)) % 3.87/3.88 [1840]E(f64(f93(f2(a4)),x18401),f64(f93(f2(a4)),x18402))+~P3(f62(f107(f64(f93(f2(a4)),x18401),f64(f93(f2(a4)),x18402)),x18403))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18403)) % 3.87/3.88 [1859]~P1(x18593)+P3(f62(f99(x18591),x18592))+~P3(f62(f107(f64(f93(x18593),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18592),x18591)) % 3.87/3.88 [1860]P3(f62(f107(x18601,a89),x18602))+~P3(f62(f58(a12,x18602),x18603))+~P3(f62(f107(f64(f93(x18603),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18601),x18602)) % 3.87/3.88 [1040]~E(f67(f94(x10403),x10402),f67(f94(x10401),x10404))+~P3(f65(f66(a87,x10403),x10404))+P3(f65(f66(a87,x10401),x10402)) % 3.87/3.88 [1161]~P3(f62(f107(x11611,x11614),x11613))+P3(f62(f107(x11611,x11612),x11613))+~P3(f62(f107(x11614,x11612),x11613)) % 3.87/3.88 [972]P3(f65(x9721,x9722))+~E(x9723,f67(f94(x9724),x9722))+~P3(f65(x9721,f67(f75(x9723),x9724))) % 3.87/3.88 [1299]E(x12991,x12992)+E(x12993,x12994)+~E(f67(f94(f67(f104(x12993),x12991)),f67(f104(x12994),x12992)),f67(f94(f67(f104(x12993),x12992)),f67(f104(x12994),x12991))) % 3.87/3.88 [1300]E(x13001,x13002)+E(x13003,x13004)+~E(f68(f95(f68(f105(x13003),x13001)),f68(f105(x13004),x13002)),f68(f95(f68(f105(x13003),x13002)),f68(f105(x13004),x13001))) % 3.87/3.88 [1488]~P3(f62(f58(a83,x14882),x14884))+~P3(f62(f58(a84,x14881),x14883))+P3(f62(f58(a84,f57(f92(x14881),x14882)),f57(f92(x14883),x14884))) % 3.87/3.88 [1489]~P3(f62(f58(a12,x14892),x14894))+~P3(f62(f58(a12,x14891),x14893))+P3(f62(f58(a12,f57(f103(x14891),x14892)),f57(f103(x14893),x14894))) % 3.87/3.88 [1490]~P3(f62(f58(a12,x14901),x14903))+~P3(f65(f66(a85,x14902),x14904))+P3(f62(f58(a12,f64(f93(x14901),x14902)),f64(f93(x14903),x14904))) % 3.87/3.88 [1491]~P3(f65(f66(a85,x14912),x14914))+~P3(f65(f66(a85,x14911),x14913))+P3(f65(f66(a85,f67(f94(x14911),x14912)),f67(f94(x14913),x14914))) % 3.87/3.88 [1492]~P3(f65(f66(a85,x14922),x14924))+~P3(f65(f66(a85,x14921),x14923))+P3(f65(f66(a85,f67(f104(x14921),x14922)),f67(f104(x14923),x14924))) % 3.87/3.88 [1493]~P3(f65(f66(a87,x14932),x14934))+~P3(f65(f66(a87,x14931),x14933))+P3(f65(f66(a87,f67(f94(x14931),x14932)),f67(f94(x14933),x14934))) % 3.87/3.88 [1496]~P3(f65(f66(a85,x14962),x14964))+~P3(f65(f66(a14,x14961),x14963))+P3(f65(f66(a14,f67(f96(x14961),x14962)),f67(f96(x14963),x14964))) % 3.87/3.88 [1497]~P3(f65(f66(a14,x14972),x14974))+~P3(f65(f66(a14,x14971),x14973))+P3(f65(f66(a14,f67(f104(x14971),x14972)),f67(f104(x14973),x14974))) % 3.87/3.88 [1498]~P3(f70(f71(a15,x14982),x14984))+~P3(f70(f71(a15,x14981),x14983))+P3(f70(f71(a15,f68(f105(x14981),x14982)),f68(f105(x14983),x14984))) % 3.87/3.88 [1499]~P3(f65(f66(a85,x14992),x14994))+~P3(f70(f71(a15,x14991),x14993))+P3(f70(f71(a15,f69(f97(x14991),x14992)),f69(f97(x14993),x14994))) % 3.87/3.88 [1802]~P3(f65(f66(a87,a109),x18023))+~P3(f65(f66(a87,x18024),x18021))+P3(f65(f66(a87,f67(f94(f67(f104(x18021),f67(f13(x18022),x18023))),x18024)),f67(f104(x18021),x18023))) % 3.87/3.88 [1649]~P3(f65(f66(a85,x16492),x16494))+~P3(f62(f58(a12,f64(f93(x16491),x16494)),x16493))+P3(f62(f58(a12,f64(f93(x16491),x16492)),x16493)) % 3.87/3.88 [1650]~P3(f65(f66(a85,x16502),x16504))+~P3(f65(f66(a14,f67(f96(x16501),x16504)),x16503))+P3(f65(f66(a14,f67(f96(x16501),x16502)),x16503)) % 3.87/3.88 [1651]~P3(f65(f66(a85,x16512),x16514))+~P3(f70(f71(a15,f69(f97(x16511),x16514)),x16513))+P3(f70(f71(a15,f69(f97(x16511),x16512)),x16513)) % 3.87/3.88 [1841]~P3(f62(f107(x18413,x18414),x18412))+P3(f62(f107(f57(f103(x18411),f78(x18412,x18413)),f57(f103(x18411),f78(x18412,x18414))),x18412))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18412)) % 3.87/3.88 [1581]~P3(f62(f107(x15812,x15814),x15815))+~P3(f62(f107(x15811,x15813),x15815))+P3(f62(f107(f57(f92(x15811),x15812),f57(f92(x15813),x15814)),x15815)) % 3.87/3.88 [1582]~P3(f62(f107(x15822,x15824),x15825))+~P3(f62(f107(x15821,x15823),x15825))+P3(f62(f107(f57(f103(x15821),x15822),f57(f103(x15823),x15824)),x15825)) % 3.87/3.88 [1583]~P3(f62(f107(x15832,x15834),x15835))+~P3(f62(f107(x15831,x15833),x15835))+P3(f62(f107(f57(f76(x15831),x15832),f57(f76(x15833),x15834)),x15835)) % 3.87/3.88 [1660]~P3(f62(f107(x16602,x16605),x16604))+~P3(f62(f107(x16601,f57(f103(x16605),x16603)),x16604))+P3(f62(f107(x16601,f57(f103(x16602),x16603)),x16604)) % 3.87/3.88 [1661]~P3(f62(f107(x16615,x16612),x16614))+~P3(f62(f107(x16611,f57(f103(x16615),x16613)),x16614))+P3(f62(f107(x16611,f57(f103(x16612),x16613)),x16614)) % 3.87/3.88 [1662]~P3(f62(f107(x16623,x16625),x16624))+~P3(f62(f107(x16621,f57(f103(x16622),x16625)),x16624))+P3(f62(f107(x16621,f57(f103(x16622),x16623)),x16624)) % 3.87/3.88 [1663]~P3(f62(f107(x16635,x16633),x16634))+~P3(f62(f107(x16631,f57(f103(x16632),x16635)),x16634))+P3(f62(f107(x16631,f57(f103(x16632),x16633)),x16634)) % 3.87/3.88 [1693]~E(f67(f94(f67(f104(x16933),x16934)),x16931),f67(f94(f67(f104(x16932),x16934)),x16935))+~P3(f65(f66(a85,x16933),x16932))+E(x16931,f67(f94(f67(f104(f67(f75(x16932),x16933)),x16934)),x16935)) % 3.87/3.88 [1694]~E(f67(f94(f67(f104(x16941),x16943)),x16944),f67(f94(f67(f104(x16942),x16943)),x16945))+~P3(f65(f66(a85,x16942),x16941))+E(f67(f94(f67(f104(f67(f75(x16941),x16942)),x16943)),x16944),x16945) % 3.87/3.88 [1724]E(f67(f94(f67(f104(x17241),x17242)),x17243),f67(f94(f67(f104(x17244),x17242)),x17245))+~P3(f65(f66(a85,x17244),x17241))+~E(x17245,f67(f94(f67(f104(f67(f75(x17241),x17244)),x17242)),x17243)) % 3.87/3.88 [1725]E(f67(f94(f67(f104(x17251),x17252)),x17253),f67(f94(f67(f104(x17254),x17252)),x17255))+~P3(f65(f66(a85,x17254),x17251))+~E(f67(f94(f67(f104(f67(f75(x17251),x17254)),x17252)),x17253),x17255) % 3.87/3.88 [1773]~P3(f62(f58(a12,x17731),x17734))+~P3(f62(f58(a12,x17731),f57(f92(x17732),x17735)))+P3(f62(f58(a12,x17731),f57(f92(f57(f92(x17732),f57(f103(x17733),x17734))),x17735))) % 3.87/3.88 [1795]~P3(f62(f58(a12,x17951),x17954))+P3(f62(f58(a12,x17951),f57(f92(x17952),x17953)))+~P3(f62(f58(a12,x17951),f57(f92(f57(f92(x17952),f57(f103(x17955),x17954))),x17953))) % 3.87/3.88 [1810]~P3(f65(f66(a85,x18103),x18102))+~P3(f65(f66(a85,f67(f94(f67(f104(x18103),x18104)),x18101)),f67(f94(f67(f104(x18102),x18104)),x18105)))+P3(f65(f66(a85,x18101),f67(f94(f67(f104(f67(f75(x18102),x18103)),x18104)),x18105))) % 3.87/3.88 [1811]~P3(f65(f66(a85,x18113),x18112))+~P3(f65(f66(a87,f67(f94(f67(f104(x18113),x18114)),x18111)),f67(f94(f67(f104(x18112),x18114)),x18115)))+P3(f65(f66(a87,x18111),f67(f94(f67(f104(f67(f75(x18112),x18113)),x18114)),x18115))) % 3.87/3.88 [1813]~P3(f65(f66(a85,x18131),x18134))+P3(f65(f66(a85,f67(f94(f67(f104(x18131),x18132)),x18133)),f67(f94(f67(f104(x18134),x18132)),x18135)))+~P3(f65(f66(a85,x18133),f67(f94(f67(f104(f67(f75(x18134),x18131)),x18132)),x18135))) % 3.87/3.88 [1814]~P3(f65(f66(a85,x18141),x18144))+P3(f65(f66(a87,f67(f94(f67(f104(x18141),x18142)),x18143)),f67(f94(f67(f104(x18144),x18142)),x18145)))+~P3(f65(f66(a87,x18143),f67(f94(f67(f104(f67(f75(x18144),x18141)),x18142)),x18145))) % 3.87/3.88 [1815]~P3(f65(f66(a85,x18152),x18151))+~P3(f65(f66(a85,f67(f94(f67(f104(x18151),x18153)),x18154)),f67(f94(f67(f104(x18152),x18153)),x18155)))+P3(f65(f66(a85,f67(f94(f67(f104(f67(f75(x18151),x18152)),x18153)),x18154)),x18155)) % 3.87/3.88 [1816]~P3(f65(f66(a85,x18162),x18161))+~P3(f65(f66(a87,f67(f94(f67(f104(x18161),x18163)),x18164)),f67(f94(f67(f104(x18162),x18163)),x18165)))+P3(f65(f66(a87,f67(f94(f67(f104(f67(f75(x18161),x18162)),x18163)),x18164)),x18165)) % 3.87/3.88 [1822]~P3(f65(f66(a85,x18224),x18221))+P3(f65(f66(a85,f67(f94(f67(f104(x18221),x18222)),x18223)),f67(f94(f67(f104(x18224),x18222)),x18225)))+~P3(f65(f66(a85,f67(f94(f67(f104(f67(f75(x18221),x18224)),x18222)),x18223)),x18225)) % 3.87/3.88 [1823]~P3(f65(f66(a85,x18234),x18231))+P3(f65(f66(a87,f67(f94(f67(f104(x18231),x18232)),x18233)),f67(f94(f67(f104(x18234),x18232)),x18235)))+~P3(f65(f66(a87,f67(f94(f67(f104(f67(f75(x18231),x18234)),x18232)),x18233)),x18235)) % 3.87/3.88 [853]~P1(x8531)+~E(f55(x8531),a80)+P3(f62(a111,x8531))+~P3(f62(f58(a84,a80),x8531)) % 3.87/3.88 [857]~P1(x8571)+~E(f55(x8571),x8571)+P3(f62(a111,x8571))+~P3(f62(f58(a84,a80),x8571)) % 3.87/3.88 [868]~P1(x8681)+P1(f55(x8681))+P3(f62(a111,x8681))+~P3(f62(f58(a84,a80),x8681)) % 3.87/3.88 [966]~P1(x9661)+P3(f62(a111,x9661))+P3(f62(f58(a83,a89),f55(x9661)))+~P3(f62(f58(a84,a80),x9661)) % 3.87/3.88 [1003]~P1(x10031)+P3(f62(a111,x10031))+~P3(f62(f58(a84,a80),x10031))+P3(f62(f58(a12,f55(x10031)),x10031)) % 3.87/3.88 [663]~P1(x6632)+~P1(x6631)+E(x6631,x6632)+~E(f2(x6631),f2(x6632)) % 3.87/3.88 [664]~P1(x6642)+~P1(x6641)+E(x6641,x6642)+~E(f3(x6641),f3(x6642)) % 3.87/3.88 [672]~P1(x6722)+~E(x6722,a89)+E(x6721,a109)+E(f64(f93(x6722),x6721),a89) % 3.87/3.88 [703]~P1(x7031)+~P1(x7032)+~E(x7032,a89)+E(f57(f103(x7031),x7032),a89) % 3.87/3.88 [704]~P1(x7042)+~P1(x7041)+~E(x7041,a89)+E(f57(f103(x7041),x7042),a89) % 3.87/3.88 [709]~P1(x7091)+~P1(x7092)+~E(x7092,a89)+E(f57(f92(x7091),x7092),x7091) % 3.87/3.88 [726]~P1(x7261)+E(x7261,a80)+E(x7261,f2(a4))+~E(f57(f103(x7261),x7262),a80) % 3.87/3.88 [730]~P1(x7301)+~P1(x7302)+E(x7301,a89)+~E(f57(f92(x7302),x7301),x7302) % 3.87/3.88 [780]~P1(x7802)+~P1(x7801)+E(x7801,x7802)+~E(f57(f92(x7801),x7801),f57(f92(x7802),x7802)) % 3.87/3.88 [788]~E(x7881,x7882)+~P1(x7882)+~P1(x7881)+P3(f62(f107(x7881,x7882),a89)) % 3.87/3.88 [832]~P1(x8322)+~P1(x8321)+~E(x8321,x8322)+~P3(f62(f58(a84,x8321),x8322)) % 3.87/3.88 [842]~P1(x8422)+~P1(x8421)+E(x8421,x8422)+~P3(f62(f107(x8421,x8422),a89)) % 3.87/3.88 [939]~P1(x9392)+~P1(x9391)+~P3(f62(f58(a84,x9391),x9392))+P3(f62(f58(a83,x9391),x9392)) % 3.87/3.88 [1039]~P1(x10391)+E(f57(f7(x10391),x10392),x10391)+~P3(f62(f58(a83,a89),x10391))+~P3(f62(f58(a84,x10391),x10392)) % 3.87/3.88 [1044]~P1(x10441)+E(f57(f7(x10441),x10442),x10441)+~P3(f62(f58(a84,x10442),x10441))+~P3(f62(f58(a83,x10441),a89)) % 3.87/3.88 [876]~E(x8761,x8762)+~P1(x8762)+~P1(x8761)+P3(f62(f58(a84,x8761),f57(f92(x8762),a80))) % 3.87/3.88 [968]~P1(x9682)+~P1(x9681)+E(x9681,a89)+~E(f57(f92(f57(f103(x9682),x9682)),f57(f103(x9681),x9681)),a89) % 3.87/3.88 [969]~P1(x9692)+~P1(x9691)+E(x9691,a89)+~E(f57(f92(f57(f103(x9691),x9691)),f57(f103(x9692),x9692)),a89) % 3.87/3.88 [1079]~P1(x10792)+~P1(x10791)+~P3(f62(f58(a84,x10791),x10792))+P3(f62(f58(a84,x10791),f57(f92(x10792),a80))) % 3.87/3.88 [1246]~E(f73(x12461,x12462),a80)+~P3(f62(a111,x12461))+~P3(f62(f58(a84,a80),x12462))+~P3(f62(f58(a84,x12462),f57(f76(x12461),a80))) % 3.87/3.88 [1247]~E(f73(x12471,x12472),a89)+~P3(f62(a111,x12471))+~P3(f62(f58(a84,a80),x12472))+~P3(f62(f58(a84,x12472),f57(f76(x12471),a80))) % 3.87/3.88 [1248]~E(f73(x12481,x12482),x12482)+~P3(f62(a111,x12481))+~P3(f62(f58(a84,a80),x12482))+~P3(f62(f58(a84,x12482),f57(f76(x12481),a80))) % 3.87/3.88 [1311]~E(f73(x13111,x13112),f57(f76(x13111),a80))+~P3(f62(a111,x13111))+~P3(f62(f58(a84,a80),x13112))+~P3(f62(f58(a84,x13112),f57(f76(x13111),a80))) % 3.87/3.88 [1398]~P3(f62(a111,x13981))+~P3(f62(f58(a84,a80),x13982))+P3(f62(f58(a84,a80),f73(x13981,x13982)))+~P3(f62(f58(a84,x13982),f57(f76(x13981),a80))) % 3.87/3.88 [1573]~P3(f62(a111,x15731))+~P3(f62(f58(a84,a80),x15732))+~P3(f62(f58(a84,x15732),f57(f76(x15731),a80)))+P3(f62(f58(a84,f73(x15731,x15732)),f57(f76(x15731),a80))) % 3.87/3.88 [1081]~P1(x10812)+~P1(x10811)+E(x10811,x10812)+~E(f57(f92(f57(f92(a80),x10811)),x10811),f57(f92(f57(f92(a80),x10812)),x10812)) % 3.87/3.88 [1550]~P1(x15502)+~P1(x15501)+E(x15501,a89)+P3(f62(f58(a84,a89),f57(f92(f57(f103(x15502),x15502)),f57(f103(x15501),x15501)))) % 3.87/3.88 [1551]~P1(x15512)+~P1(x15511)+E(x15511,a89)+P3(f62(f58(a84,a89),f57(f92(f57(f103(x15511),x15511)),f57(f103(x15512),x15512)))) % 3.87/3.88 [1652]~P3(f62(a111,x16522))+~P3(f62(f58(a84,a89),x16521))+~P3(f62(f58(a84,x16521),x16522))+P3(f62(f107(f57(f103(x16521),f73(x16522,x16521)),a80),x16522)) % 3.87/3.88 [1789]~P1(x17891)+~P1(x17892)+E(x17891,a89)+~P3(f62(f58(a83,f57(f92(f57(f103(x17892),x17892)),f57(f103(x17891),x17891))),a89)) % 3.87/3.88 [1790]~P1(x17901)+~P1(x17902)+E(x17901,a89)+~P3(f62(f58(a83,f57(f92(f57(f103(x17901),x17901)),f57(f103(x17902),x17902))),a89)) % 3.87/3.88 [1819]E(x18191,x18192)+~P3(f65(f66(a85,a109),x18192))+~P3(f65(f66(a85,a109),x18191))+~E(f67(f96(x18191),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f67(f96(x18192),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.88 [1820]E(x18201,x18202)+~P3(f70(f71(a86,a110),x18202))+~P3(f70(f71(a86,a110),x18201))+~E(f69(f97(x18201),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f69(f97(x18202),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.88 [1834]~P3(f62(a111,x18342))+P3(f62(f107(x18341,a89),x18342))+~P3(f62(f107(f78(x18342,x18341),a89),x18342))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18342)) % 3.87/3.88 [1836]~P3(f62(a111,x18362))+P3(f62(f107(x18361,a89),x18362))+P3(f62(f107(f78(x18362,f78(x18362,x18361)),x18361),x18362))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18362)) % 3.87/3.88 [1837]~P3(f62(a111,x18372))+P3(f62(f107(x18371,a89),x18372))+P3(f62(f107(f57(f103(x18371),f78(x18372,x18371)),a80),x18372))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18372)) % 3.87/3.88 [1839]~P3(f62(a111,x18392))+P3(f62(f107(x18391,a89),x18392))+P3(f62(f107(f57(f103(f78(x18392,x18391)),x18391),a80),x18392))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18392)) % 3.87/3.88 [1846]~P3(f62(a111,x18462))+P3(f62(f107(x18461,a89),x18462))+P3(f62(f107(f57(f103(f57(f103(x18461),f78(x18462,x18461))),f78(x18462,f78(x18462,x18461))),x18461),x18462))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18462)) % 3.87/3.88 [1847]~P3(f62(a111,x18472))+P3(f62(f107(x18471,a89),x18472))+P3(f62(f107(f78(x18472,f78(x18472,x18471)),f57(f103(f57(f103(x18471),f78(x18472,x18471))),f78(x18472,f78(x18472,x18471)))),x18472))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18472)) % 3.87/3.88 [1857]~P1(x18572)+~P1(x18571)+E(x18571,a89)+~E(f57(f92(f64(f93(x18572),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18571),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a89) % 3.87/3.88 [1858]~P1(x18582)+~P1(x18581)+E(x18581,a89)+~E(f57(f92(f64(f93(x18581),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18582),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a89) % 3.87/3.88 [1871]~P1(x18712)+~P1(x18711)+E(x18711,a89)+P3(f62(f58(a84,a89),f57(f92(f64(f93(x18712),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18711),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.88 [1872]~P1(x18722)+~P1(x18721)+E(x18721,a89)+P3(f62(f58(a84,a89),f57(f92(f64(f93(x18721),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18722),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.88 [1861]E(x18611,x18612)+E(x18612,a109)+~P3(f65(f66(a14,x18611),x18612))+P3(f65(f66(a85,f67(f104(f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18611)),x18612)) % 3.87/3.88 [1888]~P1(x18881)+~P1(x18882)+E(x18881,a89)+~P3(f62(f58(a83,f57(f92(f64(f93(x18882),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18881),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a89)) % 3.87/3.88 [1889]~P1(x18891)+~P1(x18892)+E(x18891,a89)+~P3(f62(f58(a83,f57(f92(f64(f93(x18891),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18892),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a89)) % 3.87/3.88 [1072]P4(x10722,x10723,x10721)+E(x10721,a89)+P1(f45(x10721,x10723,x10722))+P1(f50(x10721,x10723,x10722)) % 3.87/3.88 [1073]P4(x10732,x10733,x10731)+E(x10731,a89)+P1(f45(x10731,x10733,x10732))+P1(f51(x10731,x10733,x10732)) % 3.87/3.88 [1074]P4(x10742,x10743,x10741)+E(x10741,a89)+P1(f48(x10741,x10743,x10742))+P1(f50(x10741,x10743,x10742)) % 3.87/3.88 [1075]P4(x10752,x10753,x10751)+E(x10751,a89)+P1(f48(x10751,x10753,x10752))+P1(f51(x10751,x10753,x10752)) % 3.87/3.88 [1138]P4(x11381,x11382,x11383)+P1(f45(x11383,x11382,x11381))+P1(f50(x11383,x11382,x11381))+~P3(f62(x11381,x11382)) % 3.87/3.88 [1139]P4(x11391,x11392,x11393)+P1(f45(x11393,x11392,x11391))+P1(f51(x11393,x11392,x11391))+~P3(f62(x11391,x11392)) % 3.87/3.88 [1140]P4(x11401,x11402,x11403)+P1(f48(x11403,x11402,x11401))+P1(f50(x11403,x11402,x11401))+~P3(f62(x11401,x11402)) % 3.87/3.88 [1141]P4(x11411,x11412,x11413)+P1(f48(x11413,x11412,x11411))+P1(f51(x11413,x11412,x11411))+~P3(f62(x11411,x11412)) % 3.87/3.88 [756]~P1(x7561)+~P1(x7563)+~E(x7561,f57(f103(x7562),x7563))+E(f57(f7(x7561),x7562),a89) % 3.87/3.88 [935]P4(x9352,x9353,x9351)+E(x9351,a89)+P3(f62(f58(a84,a89),x9351))+P3(f62(f58(a84,x9351),a89)) % 3.87/3.88 [985]P4(x9852,x9853,x9851)+E(x9851,a89)+P1(f50(x9851,x9853,x9852))+P3(f62(f58(a84,a89),x9851)) % 3.87/3.88 [986]P4(x9862,x9863,x9861)+E(x9861,a89)+P1(f51(x9861,x9863,x9862))+P3(f62(f58(a84,a89),x9861)) % 3.87/3.88 [987]P4(x9872,x9873,x9871)+E(x9871,a89)+P1(f45(x9871,x9873,x9872))+P3(f62(f58(a84,x9871),a89)) % 3.87/3.88 [988]P4(x9882,x9883,x9881)+E(x9881,a89)+P1(f48(x9881,x9883,x9882))+P3(f62(f58(a84,x9881),a89)) % 3.87/3.88 [1004]P4(x10041,x10042,x10043)+~P3(f62(x10041,x10042))+P3(f62(f58(a84,a89),x10043))+P3(f62(f58(a84,x10043),a89)) % 3.87/3.88 [1083]P4(x10831,x10832,x10833)+P1(f50(x10833,x10832,x10831))+~P3(f62(x10831,x10832))+P3(f62(f58(a84,a89),x10833)) % 3.87/3.88 [1084]P4(x10841,x10842,x10843)+P1(f51(x10843,x10842,x10841))+~P3(f62(x10841,x10842))+P3(f62(f58(a84,a89),x10843)) % 3.87/3.88 [1085]P4(x10851,x10852,x10853)+P1(f45(x10853,x10852,x10851))+~P3(f62(x10851,x10852))+P3(f62(f58(a84,x10853),a89)) % 3.87/3.88 [1086]P4(x10861,x10862,x10863)+P1(f48(x10863,x10862,x10861))+~P3(f62(x10861,x10862))+P3(f62(f58(a84,x10863),a89)) % 3.87/3.88 [1109]E(x11091,x11092)+~E(f67(f75(x11091),x11093),f67(f75(x11092),x11093))+~P3(f65(f66(a85,x11093),x11091))+~P3(f65(f66(a85,x11093),x11092)) % 3.87/3.88 [1118]~P3(f62(x11181,x11183))+P3(f62(x11181,x11182))+P1(f35(x11181,x11183,x11182))+~P3(f62(f58(a83,x11183),x11182)) % 3.87/3.88 [1119]~P3(f62(x11191,x11193))+P3(f62(x11191,x11192))+P1(f33(x11191,x11192,x11193))+~P3(f62(f58(a83,x11192),x11193)) % 3.87/3.88 [1136]~P3(f65(x11361,x11362))+~P3(f65(x11361,x11363))+P3(f65(x11361,a109))+~P3(f65(f66(a85,x11363),f23(x11362,x11361))) % 3.87/3.88 [1137]~P3(f65(x11371,x11372))+~P3(f65(x11371,x11373))+P3(f65(x11371,a109))+~P3(f65(f66(a87,x11373),f39(x11372,x11371))) % 3.87/3.88 [1261]P4(x12612,x12613,x12611)+E(x12611,a89)+P3(f62(f58(a83,a89),f48(x12611,x12613,x12612)))+P3(f62(f58(a84,x12611),a89)) % 3.87/3.88 [1262]P4(x12622,x12623,x12621)+E(x12621,a89)+P3(f62(f58(a84,a89),x12621))+P3(f62(f58(a84,x12621),f51(x12621,x12623,x12622))) % 3.87/3.88 [1330]~P3(f62(x13301,x13303))+P3(f62(x13301,x13302))+P3(f62(x13301,f35(x13301,x13303,x13302)))+~P3(f62(f58(a83,x13303),x13302)) % 3.87/3.88 [1331]~P3(f62(x13311,x13313))+P3(f62(x13311,x13312))+P3(f62(x13311,f33(x13311,x13312,x13313)))+~P3(f62(f58(a83,x13312),x13313)) % 3.87/3.88 [1362]P4(x13622,x13623,x13621)+E(x13621,a89)+P1(f50(x13621,x13623,x13622))+P3(f62(f58(a83,a89),f48(x13621,x13623,x13622))) % 3.87/3.88 [1363]P4(x13632,x13633,x13631)+E(x13631,a89)+P1(f51(x13631,x13633,x13632))+P3(f62(f58(a83,a89),f48(x13631,x13633,x13632))) % 3.87/3.88 [1366]P4(x13662,x13663,x13661)+E(x13661,a89)+P1(f45(x13661,x13663,x13662))+P3(f62(f58(a84,x13661),f51(x13661,x13663,x13662))) % 3.87/3.88 [1367]P4(x13672,x13673,x13671)+E(x13671,a89)+P1(f48(x13671,x13673,x13672))+P3(f62(f58(a84,x13671),f51(x13671,x13673,x13672))) % 3.87/3.88 [1368]P4(x13681,x13682,x13683)+~P3(f62(x13681,x13682))+P3(f62(f58(a83,a89),f48(x13683,x13682,x13681)))+P3(f62(f58(a84,x13683),a89)) % 3.87/3.88 [1369]P4(x13691,x13692,x13693)+~P3(f62(x13691,x13692))+P3(f62(f58(a84,a89),x13693))+P3(f62(f58(a84,x13693),f51(x13693,x13692,x13691))) % 3.87/3.88 [1379]~P3(f62(x13791,x13793))+P3(f62(x13791,x13792))+~P3(f62(f58(a83,x13793),x13792))+P3(f62(f58(a83,x13793),f35(x13791,x13793,x13792))) % 3.87/3.88 [1386]P4(x13861,x13862,x13863)+P1(f50(x13863,x13862,x13861))+~P3(f62(x13861,x13862))+P3(f62(f58(a83,a89),f48(x13863,x13862,x13861))) % 3.87/3.88 [1387]P4(x13871,x13872,x13873)+P1(f51(x13873,x13872,x13871))+~P3(f62(x13871,x13872))+P3(f62(f58(a83,a89),f48(x13873,x13872,x13871))) % 3.87/3.88 [1395]P4(x13951,x13952,x13953)+P1(f45(x13953,x13952,x13951))+~P3(f62(x13951,x13952))+P3(f62(f58(a84,x13953),f51(x13953,x13952,x13951))) % 3.87/3.88 [1396]P4(x13961,x13962,x13963)+P1(f48(x13963,x13962,x13961))+~P3(f62(x13961,x13962))+P3(f62(f58(a84,x13963),f51(x13963,x13962,x13961))) % 3.87/3.88 [1399]P4(x13992,x13993,x13991)+E(x13991,a89)+P3(f62(f58(a84,a89),x13991))+~P3(f62(x13992,f51(x13991,x13993,x13992))) % 3.87/3.88 [1407]P4(x14072,x14073,x14071)+E(x14071,a89)+~P3(f62(x14072,f48(x14071,x14073,x14072)))+P3(f62(f58(a84,x14071),a89)) % 3.87/3.88 [1504]P4(x15042,x15043,x15041)+E(x15041,a89)+P1(f45(x15041,x15043,x15042))+~P3(f62(x15042,f51(x15041,x15043,x15042))) % 3.87/3.88 [1505]P4(x15052,x15053,x15051)+E(x15051,a89)+P1(f48(x15051,x15053,x15052))+~P3(f62(x15052,f51(x15051,x15053,x15052))) % 3.87/3.88 [1506]P4(x15062,x15063,x15061)+E(x15061,a89)+P1(f50(x15061,x15063,x15062))+~P3(f62(x15062,f48(x15061,x15063,x15062))) % 3.87/3.88 [1507]P4(x15072,x15073,x15071)+E(x15071,a89)+P1(f51(x15071,x15073,x15072))+~P3(f62(x15072,f48(x15071,x15073,x15072))) % 3.87/3.88 [1522]P4(x15221,x15222,x15223)+~P3(f62(x15221,x15222))+P3(f62(f58(a84,a89),x15223))+~P3(f62(x15221,f51(x15223,x15222,x15221))) % 3.87/3.88 [1529]P4(x15291,x15292,x15293)+~P3(f62(x15291,x15292))+~P3(f62(x15291,f48(x15293,x15292,x15291)))+P3(f62(f58(a84,x15293),a89)) % 3.87/3.88 [1541]P4(x15411,x15412,x15413)+P1(f50(x15413,x15412,x15411))+~P3(f62(x15411,x15412))+~P3(f62(x15411,f48(x15413,x15412,x15411))) % 3.87/3.88 [1542]P4(x15421,x15422,x15423)+P1(f51(x15423,x15422,x15421))+~P3(f62(x15421,x15422))+~P3(f62(x15421,f48(x15423,x15422,x15421))) % 3.87/3.88 [1543]P4(x15431,x15432,x15433)+P1(f45(x15433,x15432,x15431))+~P3(f62(x15431,x15432))+~P3(f62(x15431,f51(x15433,x15432,x15431))) % 3.87/3.88 [1544]P4(x15441,x15442,x15443)+P1(f48(x15443,x15442,x15441))+~P3(f62(x15441,x15442))+~P3(f62(x15441,f51(x15443,x15442,x15441))) % 3.87/3.88 [1566]P4(x15662,x15663,x15661)+E(x15661,a89)+P3(f62(f58(a83,a89),f48(x15661,x15663,x15662)))+P3(f62(f58(a84,x15661),f51(x15661,x15663,x15662))) % 3.87/3.88 [1632]P4(x16321,x16322,x16323)+~P3(f62(x16321,x16322))+P3(f62(f58(a83,a89),f48(x16323,x16322,x16321)))+P3(f62(f58(a84,x16323),f51(x16323,x16322,x16321))) % 3.87/3.88 [1658]P4(x16582,x16583,x16581)+E(x16581,a89)+P3(f62(f58(a83,a89),f48(x16581,x16583,x16582)))+~P3(f62(x16582,f51(x16581,x16583,x16582))) % 3.87/3.88 [1659]P4(x16592,x16593,x16591)+E(x16591,a89)+~P3(f62(x16592,f48(x16591,x16593,x16592)))+P3(f62(f58(a84,x16591),f51(x16591,x16593,x16592))) % 3.87/3.88 [1665]P4(x16653,x16652,x16651)+E(x16651,a89)+E(f57(f92(f57(f103(x16651),f50(x16651,x16652,x16653))),f51(x16651,x16652,x16653)),x16652)+P3(f62(f58(a84,a89),x16651)) % 3.87/3.88 [1666]P4(x16663,x16662,x16661)+E(x16661,a89)+E(f57(f92(f57(f103(x16661),f45(x16661,x16662,x16663))),f48(x16661,x16662,x16663)),x16662)+P3(f62(f58(a84,x16661),a89)) % 3.87/3.88 [1673]P4(x16731,x16732,x16733)+~P3(f62(x16731,x16732))+P3(f62(f58(a83,a89),f48(x16733,x16732,x16731)))+~P3(f62(x16731,f51(x16733,x16732,x16731))) % 3.87/3.88 [1676]P4(x16761,x16762,x16763)+~P3(f62(x16761,x16762))+~P3(f62(x16761,f48(x16763,x16762,x16761)))+P3(f62(f58(a84,x16763),f51(x16763,x16762,x16761))) % 3.87/3.88 [1680]P4(x16803,x16802,x16801)+E(x16801,a89)+P1(f45(x16801,x16802,x16803))+E(f57(f92(f57(f103(x16801),f50(x16801,x16802,x16803))),f51(x16801,x16802,x16803)),x16802) % 3.87/3.88 [1681]P4(x16813,x16812,x16811)+E(x16811,a89)+P1(f48(x16811,x16812,x16813))+E(f57(f92(f57(f103(x16811),f50(x16811,x16812,x16813))),f51(x16811,x16812,x16813)),x16812) % 3.87/3.88 [1682]P4(x16823,x16822,x16821)+E(x16821,a89)+P1(f50(x16821,x16822,x16823))+E(f57(f92(f57(f103(x16821),f45(x16821,x16822,x16823))),f48(x16821,x16822,x16823)),x16822) % 3.87/3.88 [1683]P4(x16833,x16832,x16831)+E(x16831,a89)+P1(f51(x16831,x16832,x16833))+E(f57(f92(f57(f103(x16831),f45(x16831,x16832,x16833))),f48(x16831,x16832,x16833)),x16832) % 3.87/3.88 [1684]P4(x16843,x16842,x16841)+~P3(f62(x16843,x16842))+E(f57(f92(f57(f103(x16841),f50(x16841,x16842,x16843))),f51(x16841,x16842,x16843)),x16842)+P3(f62(f58(a84,a89),x16841)) % 3.87/3.88 [1685]P4(x16853,x16852,x16851)+~P3(f62(x16853,x16852))+E(f57(f92(f57(f103(x16851),f45(x16851,x16852,x16853))),f48(x16851,x16852,x16853)),x16852)+P3(f62(f58(a84,x16851),a89)) % 3.87/3.88 [1692]P4(x16922,x16923,x16921)+E(x16921,a89)+~P3(f62(x16922,f48(x16921,x16923,x16922)))+~P3(f62(x16922,f51(x16921,x16923,x16922))) % 3.87/3.88 [1701]P4(x17013,x17012,x17011)+P1(f50(x17011,x17012,x17013))+~P3(f62(x17013,x17012))+E(f57(f92(f57(f103(x17011),f45(x17011,x17012,x17013))),f48(x17011,x17012,x17013)),x17012) % 3.87/3.88 [1702]P4(x17023,x17022,x17021)+P1(f51(x17021,x17022,x17023))+~P3(f62(x17023,x17022))+E(f57(f92(f57(f103(x17021),f45(x17021,x17022,x17023))),f48(x17021,x17022,x17023)),x17022) % 3.87/3.88 [1703]P4(x17033,x17032,x17031)+P1(f45(x17031,x17032,x17033))+~P3(f62(x17033,x17032))+E(f57(f92(f57(f103(x17031),f50(x17031,x17032,x17033))),f51(x17031,x17032,x17033)),x17032) % 3.87/3.88 [1704]P4(x17043,x17042,x17041)+P1(f48(x17041,x17042,x17043))+~P3(f62(x17043,x17042))+E(f57(f92(f57(f103(x17041),f50(x17041,x17042,x17043))),f51(x17041,x17042,x17043)),x17042) % 3.87/3.88 [1713]P4(x17131,x17132,x17133)+~P3(f62(x17131,x17132))+~P3(f62(x17131,f48(x17133,x17132,x17131)))+~P3(f62(x17131,f51(x17133,x17132,x17131))) % 3.87/3.88 [1732]P4(x17323,x17322,x17321)+E(x17321,a89)+E(f57(f92(f57(f103(x17321),f50(x17321,x17322,x17323))),f51(x17321,x17322,x17323)),x17322)+P3(f62(f58(a83,a89),f48(x17321,x17322,x17323))) % 3.87/3.88 [1733]P4(x17333,x17332,x17331)+E(x17331,a89)+E(f57(f92(f57(f103(x17331),f45(x17331,x17332,x17333))),f48(x17331,x17332,x17333)),x17332)+P3(f62(f58(a84,x17331),f51(x17331,x17332,x17333))) % 3.87/3.88 [1737]P4(x17373,x17372,x17371)+~P3(f62(x17373,x17372))+E(f57(f92(f57(f103(x17371),f50(x17371,x17372,x17373))),f51(x17371,x17372,x17373)),x17372)+P3(f62(f58(a83,a89),f48(x17371,x17372,x17373))) % 3.87/3.88 [1739]P4(x17393,x17392,x17391)+~P3(f62(x17393,x17392))+E(f57(f92(f57(f103(x17391),f45(x17391,x17392,x17393))),f48(x17391,x17392,x17393)),x17392)+P3(f62(f58(a84,x17391),f51(x17391,x17392,x17393))) % 3.87/3.88 [1741]P4(x17413,x17412,x17411)+E(x17411,a89)+E(f57(f92(f57(f103(x17411),f45(x17411,x17412,x17413))),f48(x17411,x17412,x17413)),x17412)+~P3(f62(x17413,f51(x17411,x17412,x17413))) % 3.87/3.88 [1742]P4(x17423,x17422,x17421)+E(x17421,a89)+E(f57(f92(f57(f103(x17421),f50(x17421,x17422,x17423))),f51(x17421,x17422,x17423)),x17422)+~P3(f62(x17423,f48(x17421,x17422,x17423))) % 3.87/3.88 [1744]P4(x17443,x17442,x17441)+~P3(f62(x17443,x17442))+E(f57(f92(f57(f103(x17441),f45(x17441,x17442,x17443))),f48(x17441,x17442,x17443)),x17442)+~P3(f62(x17443,f51(x17441,x17442,x17443))) % 3.87/3.88 [1745]P4(x17453,x17452,x17451)+~P3(f62(x17453,x17452))+E(f57(f92(f57(f103(x17451),f50(x17451,x17452,x17453))),f51(x17451,x17452,x17453)),x17452)+~P3(f62(x17453,f48(x17451,x17452,x17453))) % 3.87/3.88 [1766]P4(x17663,x17662,x17661)+E(x17661,a89)+E(f57(f92(f57(f103(x17661),f50(x17661,x17662,x17663))),f51(x17661,x17662,x17663)),x17662)+E(f57(f92(f57(f103(x17661),f45(x17661,x17662,x17663))),f48(x17661,x17662,x17663)),x17662) % 3.87/3.88 [1771]P4(x17713,x17712,x17711)+~P3(f62(x17713,x17712))+E(f57(f92(f57(f103(x17711),f50(x17711,x17712,x17713))),f51(x17711,x17712,x17713)),x17712)+E(f57(f92(f57(f103(x17711),f45(x17711,x17712,x17713))),f48(x17711,x17712,x17713)),x17712) % 3.87/3.88 [937]~P1(x9373)+~P1(x9372)+~P4(x9371,x9372,x9373)+P3(f62(x9371,f57(f7(x9372),x9373))) % 3.87/3.88 [983]~P1(x9833)+~P1(x9832)+P4(x9831,x9832,x9833)+~P3(f62(x9831,f57(f7(x9832),x9833))) % 3.87/3.88 [1230]~E(f57(f92(x12302),f57(f103(x12303),x12301)),x12303)+~P3(f62(f58(a83,a89),x12302))+~P3(f62(f58(a84,a89),x12303))+P3(f62(f58(a83,x12301),a80)) % 3.87/3.88 [1241]~E(f57(f92(x12412),f57(f103(x12413),x12411)),x12413)+~P3(f62(f58(a84,a89),x12413))+P3(f62(f58(a83,a80),x12411))+~P3(f62(f58(a84,x12412),x12413)) % 3.87/3.88 [1264]P3(f62(x12641,x12642))+P1(f36(x12641,x12643,x12642))+~P3(f62(f58(a84,x12643),x12642))+~P3(f62(x12641,f57(f92(x12643),a80))) % 3.87/3.88 [1265]P3(f62(x12651,x12652))+P1(f34(x12651,x12652,x12653))+~P3(f62(f58(a84,x12652),x12653))+~P3(f62(x12651,f57(f76(x12653),a80))) % 3.87/3.88 [1310]~P1(x13101)+E(x13101,a89)+~P3(f62(f58(a12,x13102),x13103))+P3(f62(f58(a12,f57(f103(x13101),x13102)),f57(f103(x13101),x13103))) % 3.87/3.88 [1312]~P3(f62(a111,x13121))+P3(f62(f58(a12,x13121),x13123))+P3(f62(f58(a12,x13121),x13122))+~P3(f62(f58(a12,x13121),f57(f103(x13123),x13122))) % 3.87/3.88 [1376]~P3(f62(a111,x13762))+P3(f62(f58(a84,a80),x13761))+~P3(f74(x13761,f108(x13763,x13762)))+~P3(f62(f58(a84,x13763),f57(f76(x13762),a80))) % 3.87/3.88 [1501]~P3(f62(a111,x15012))+~P3(f74(x15011,f108(x15013,x15012)))+~P3(f62(f58(a84,x15013),f57(f76(x15012),a80)))+P3(f62(f58(a84,x15011),f57(f76(x15012),a80))) % 3.87/3.88 [1508]P3(f62(x15081,x15082))+P3(f62(x15081,f36(x15081,x15083,x15082)))+~P3(f62(f58(a84,x15083),x15082))+~P3(f62(x15081,f57(f92(x15083),a80))) % 3.87/3.88 [1509]P3(f62(x15091,x15092))+P3(f62(x15091,f34(x15091,x15092,x15093)))+~P3(f62(f58(a84,x15092),x15093))+~P3(f62(x15091,f57(f76(x15093),a80))) % 3.87/3.88 [1520]~P3(f65(f66(a14,x15201),x15203))+P3(f65(f66(a14,x15201),x15202))+~P3(f65(f66(a85,x15202),x15203))+~P3(f65(f66(a14,x15201),f67(f75(x15203),x15202))) % 3.87/3.88 [1521]~P3(f65(f66(a14,x15211),x15213))+P3(f65(f66(a14,x15211),x15212))+~P3(f65(f66(a85,x15213),x15212))+~P3(f65(f66(a14,x15211),f67(f75(x15212),x15213))) % 3.87/3.88 [1531]~P1(x15311)+E(x15311,a89)+P3(f62(f58(a12,x15312),x15313))+~P3(f62(f58(a12,f57(f103(x15311),x15312)),f57(f103(x15311),x15313))) % 3.87/3.88 [1545]P3(f62(x15451,x15452))+~P3(f62(f58(a84,x15453),x15452))+P3(f62(f58(a84,x15453),f36(x15451,x15453,x15452)))+~P3(f62(x15451,f57(f92(x15453),a80))) % 3.87/3.88 [1561]P4(x15612,x15613,x15611)+E(x15611,a89)+P3(f62(f58(a84,a89),x15611))+P3(f62(f58(a83,f51(x15611,x15613,x15612)),a89)) % 3.87/3.88 [1572]P4(x15722,x15723,x15721)+E(x15721,a89)+P3(f62(f58(a84,x15721),a89))+P3(f62(f58(a84,f48(x15721,x15723,x15722)),x15721)) % 3.87/3.88 [1578]~P3(f62(f58(a83,a89),x15781))+~P3(f65(f66(a87,a109),x15782))+~P3(f62(f58(a84,x15781),x15783))+P3(f62(f58(a84,f64(f93(x15781),x15782)),f64(f93(x15783),x15782))) % 3.87/3.88 [1579]~P3(f65(f66(a87,a109),x15792))+~P3(f65(f66(a85,a109),x15791))+~P3(f65(f66(a87,x15791),x15793))+P3(f65(f66(a87,f67(f96(x15791),x15792)),f67(f96(x15793),x15792))) % 3.87/3.88 [1580]~P3(f65(f66(a87,a109),x15802))+~P3(f70(f71(a86,a110),x15801))+~P3(f70(f71(a88,x15801),x15803))+P3(f70(f71(a88,f69(f97(x15801),x15802)),f69(f97(x15803),x15802))) % 3.87/3.88 [1584]~P3(f62(f58(a83,a89),x15841))+~P3(f65(f66(a85,x15843),x15842))+~P3(f62(f58(a83,x15841),a80))+P3(f62(f58(a83,f64(f93(x15841),x15842)),f64(f93(x15841),x15843))) % 3.87/3.88 [1585]~P3(f62(f58(a84,a89),x15851))+~P3(f65(f66(a87,x15853),x15852))+~P3(f62(f58(a84,x15851),a80))+P3(f62(f58(a84,f64(f93(x15851),x15852)),f64(f93(x15851),x15853))) % 3.87/3.88 [1586]~P3(f65(f66(a85,a109),x15861))+~P3(f65(f66(a85,x15863),x15862))+~P3(f65(f66(a85,x15861),a81))+P3(f65(f66(a85,f67(f96(x15861),x15862)),f67(f96(x15861),x15863))) % 3.87/3.88 [1587]~P3(f65(f66(a87,a109),x15871))+~P3(f65(f66(a87,x15873),x15872))+~P3(f65(f66(a87,x15871),a81))+P3(f65(f66(a87,f67(f96(x15871),x15872)),f67(f96(x15871),x15873))) % 3.87/3.88 [1588]~P3(f70(f71(a86,a110),x15881))+~P3(f65(f66(a85,x15883),x15882))+~P3(f70(f71(a86,x15881),a82))+P3(f70(f71(a86,f69(f97(x15881),x15882)),f69(f97(x15881),x15883))) % 3.87/3.88 [1589]~P3(f70(f71(a88,a110),x15891))+~P3(f65(f66(a87,x15893),x15892))+~P3(f70(f71(a88,x15891),a82))+P3(f70(f71(a88,f69(f97(x15891),x15892)),f69(f97(x15891),x15893))) % 3.87/3.88 [1625]P4(x16252,x16253,x16251)+E(x16251,a89)+P1(f45(x16251,x16253,x16252))+P3(f62(f58(a83,f51(x16251,x16253,x16252)),a89)) % 3.87/3.88 [1626]P4(x16262,x16263,x16261)+E(x16261,a89)+P1(f48(x16261,x16263,x16262))+P3(f62(f58(a83,f51(x16261,x16263,x16262)),a89)) % 3.87/3.88 [1629]P4(x16292,x16293,x16291)+E(x16291,a89)+P1(f50(x16291,x16293,x16292))+P3(f62(f58(a84,f48(x16291,x16293,x16292)),x16291)) % 3.87/3.88 [1630]P4(x16302,x16303,x16301)+E(x16301,a89)+P1(f51(x16301,x16303,x16302))+P3(f62(f58(a84,f48(x16301,x16303,x16302)),x16301)) % 3.87/3.88 [1631]P4(x16311,x16312,x16313)+~P3(f62(x16311,x16312))+P3(f62(f58(a84,a89),x16313))+P3(f62(f58(a83,f51(x16313,x16312,x16311)),a89)) % 3.87/3.88 [1633]P4(x16331,x16332,x16333)+~P3(f62(x16331,x16332))+P3(f62(f58(a84,x16333),a89))+P3(f62(f58(a84,f48(x16333,x16332,x16331)),x16333)) % 3.87/3.88 [1644]~P3(f62(x16441,x16443))+P3(f62(x16441,x16442))+~P3(f62(f58(a83,x16442),x16443))+P3(f62(f58(a83,f33(x16441,x16442,x16443)),x16443)) % 3.87/3.88 [1653]P4(x16531,x16532,x16533)+P1(f45(x16533,x16532,x16531))+~P3(f62(x16531,x16532))+P3(f62(f58(a83,f51(x16533,x16532,x16531)),a89)) % 3.87/3.88 [1654]P4(x16541,x16542,x16543)+P1(f48(x16543,x16542,x16541))+~P3(f62(x16541,x16542))+P3(f62(f58(a83,f51(x16543,x16542,x16541)),a89)) % 3.87/3.88 [1656]P4(x16561,x16562,x16563)+P1(f50(x16563,x16562,x16561))+~P3(f62(x16561,x16562))+P3(f62(f58(a84,f48(x16563,x16562,x16561)),x16563)) % 3.87/3.88 [1657]P4(x16571,x16572,x16573)+P1(f51(x16573,x16572,x16571))+~P3(f62(x16571,x16572))+P3(f62(f58(a84,f48(x16573,x16572,x16571)),x16573)) % 3.87/3.88 [1678]~P3(f65(f66(a85,x16783),x16781))+P3(f65(f66(a85,x16781),x16782))+~P3(f65(f66(a85,x16783),x16782))+~P3(f65(f66(a85,f67(f75(x16781),x16783)),f67(f75(x16782),x16783))) % 3.87/3.88 [1679]~P3(f65(f66(a85,x16793),x16791))+P3(f65(f66(a87,x16791),x16792))+~P3(f65(f66(a85,x16793),x16792))+~P3(f65(f66(a87,f67(f75(x16791),x16793)),f67(f75(x16792),x16793))) % 3.87/3.88 [1690]P3(f62(x16901,x16902))+~P3(f62(f58(a84,x16902),x16903))+~P3(f62(x16901,f57(f76(x16903),a80)))+P3(f62(f58(a84,f34(x16901,x16902,x16903)),x16903)) % 3.87/3.88 [1700]P4(x17002,x17003,x17001)+E(x17001,a89)+P3(f62(f58(a83,a89),f48(x17001,x17003,x17002)))+P3(f62(f58(a83,f51(x17001,x17003,x17002)),a89)) % 3.87/3.88 [1705]P4(x17052,x17053,x17051)+E(x17051,a89)+P3(f62(f58(a84,x17051),f51(x17051,x17053,x17052)))+P3(f62(f58(a84,f48(x17051,x17053,x17052)),x17051)) % 3.87/3.88 [1715]P4(x17151,x17152,x17153)+~P3(f62(x17151,x17152))+P3(f62(f58(a83,a89),f48(x17153,x17152,x17151)))+P3(f62(f58(a83,f51(x17153,x17152,x17151)),a89)) % 3.87/3.88 [1717]P4(x17171,x17172,x17173)+~P3(f62(x17171,x17172))+P3(f62(f58(a84,x17173),f51(x17173,x17172,x17171)))+P3(f62(f58(a84,f48(x17173,x17172,x17171)),x17173)) % 3.87/3.88 [1722]P4(x17222,x17223,x17221)+E(x17221,a89)+~P3(f62(x17222,f48(x17221,x17223,x17222)))+P3(f62(f58(a83,f51(x17221,x17223,x17222)),a89)) % 3.87/3.88 [1723]P4(x17232,x17233,x17231)+E(x17231,a89)+~P3(f62(x17232,f51(x17231,x17233,x17232)))+P3(f62(f58(a84,f48(x17231,x17233,x17232)),x17231)) % 3.87/3.88 [1734]P4(x17341,x17342,x17343)+~P3(f62(x17341,x17342))+~P3(f62(x17341,f48(x17343,x17342,x17341)))+P3(f62(f58(a83,f51(x17343,x17342,x17341)),a89)) % 3.87/3.88 [1735]P4(x17351,x17352,x17353)+~P3(f62(x17351,x17352))+~P3(f62(x17351,f51(x17353,x17352,x17351)))+P3(f62(f58(a84,f48(x17353,x17352,x17351)),x17353)) % 3.87/3.88 [1740]P4(x17402,x17403,x17401)+E(x17401,a89)+P3(f62(f58(a84,f48(x17401,x17403,x17402)),x17401))+P3(f62(f58(a83,f51(x17401,x17403,x17402)),a89)) % 3.87/3.88 [1743]P4(x17431,x17432,x17433)+~P3(f62(x17431,x17432))+P3(f62(f58(a84,f48(x17433,x17432,x17431)),x17433))+P3(f62(f58(a83,f51(x17433,x17432,x17431)),a89)) % 3.87/3.88 [1752]P4(x17523,x17522,x17521)+E(x17521,a89)+E(f57(f92(f57(f103(x17521),f45(x17521,x17522,x17523))),f48(x17521,x17522,x17523)),x17522)+P3(f62(f58(a83,f51(x17521,x17522,x17523)),a89)) % 3.87/3.88 [1753]P4(x17533,x17532,x17531)+E(x17531,a89)+E(f57(f92(f57(f103(x17531),f50(x17531,x17532,x17533))),f51(x17531,x17532,x17533)),x17532)+P3(f62(f58(a84,f48(x17531,x17532,x17533)),x17531)) % 3.87/3.88 [1764]P4(x17643,x17642,x17641)+~P3(f62(x17643,x17642))+E(f57(f92(f57(f103(x17641),f45(x17641,x17642,x17643))),f48(x17641,x17642,x17643)),x17642)+P3(f62(f58(a83,f51(x17641,x17642,x17643)),a89)) % 3.87/3.88 [1765]P4(x17653,x17652,x17651)+~P3(f62(x17653,x17652))+E(f57(f92(f57(f103(x17651),f50(x17651,x17652,x17653))),f51(x17651,x17652,x17653)),x17652)+P3(f62(f58(a84,f48(x17651,x17652,x17653)),x17651)) % 3.87/3.88 [1510]~P3(f62(a111,x15102))+P3(f62(f107(x15101,a89),x15102))+P3(f62(f107(x15103,a89),x15102))+~P3(f62(f107(f57(f103(x15103),x15101),a89),x15102)) % 3.87/3.88 [1781]P3(f62(x17811,x17812))+~P3(f62(x17811,x17813))+~P3(f62(f58(a83,x17813),x17812))+~P3(f62(x17811,f57(f92(f35(x17811,x17813,x17812)),a80))) % 3.87/3.88 [1782]P3(f62(x17821,x17822))+~P3(f62(x17821,x17823))+~P3(f62(f58(a83,x17822),x17823))+~P3(f62(x17821,f57(f76(f33(x17821,x17822,x17823)),a80))) % 3.87/3.88 [1791]P3(f62(x17911,x17912))+~P3(f62(f58(a84,x17913),x17912))+~P3(f62(x17911,f57(f92(x17913),a80)))+~P3(f62(x17911,f57(f92(f36(x17911,x17913,x17912)),a80))) % 3.87/3.88 [1792]P3(f62(x17921,x17922))+~P3(f62(f58(a84,x17922),x17923))+~P3(f62(x17921,f57(f76(x17923),a80)))+~P3(f62(x17921,f57(f76(f34(x17921,x17922,x17923)),a80))) % 3.87/3.88 [1736]~P3(f62(f58(a84,a89),x17363))+P3(f62(f58(a83,a89),x17361))+~P3(f62(f58(a84,x17362),x17363))+~P3(f62(f58(a83,a89),f57(f92(f57(f103(x17363),x17361)),x17362))) % 3.87/3.88 [1778]~P3(f62(f58(a83,a89),x17782))+~P3(f62(f58(a84,a89),x17783))+P3(f62(f58(a83,x17781),a89))+~P3(f62(f58(a84,f57(f92(f57(f103(x17783),x17781)),x17782)),a89)) % 3.87/3.88 [900]~P1(x9002)+~P1(x9004)+~E(x9002,f57(f92(x9001),f57(f103(x9003),x9004)))+P3(f62(f107(x9001,x9002),x9003)) % 3.87/3.88 [1804]~P3(f62(f58(a83,a89),x18044))+~P3(f62(f58(a84,a89),x18043))+~P3(f62(f58(a84,x18044),x18041))+P3(f62(f58(a84,f57(f92(f57(f103(x18041),f57(f7(x18042),x18043))),x18044)),f57(f103(x18041),x18043))) % 3.87/3.88 [1394]~P3(f65(f66(a87,a109),x13944))+~E(x13941,f67(f94(f67(f104(x13942),x13943)),x13944))+~P3(f65(f66(a87,x13944),x13943))+~P3(f65(f66(a14,x13943),x13941)) % 3.87/3.88 [1695]~P3(f62(a111,x16951))+P3(f62(f58(a12,x16951),x16952))+~P3(f62(f58(a12,f64(f93(x16951),x16953)),f57(f103(x16954),x16952)))+P3(f62(f58(a12,f64(f93(x16951),x16953)),x16954)) % 3.87/3.88 [1696]~P3(f62(a111,x16961))+P3(f62(f58(a12,x16961),x16962))+~P3(f62(f58(a12,f64(f93(x16961),x16963)),f57(f103(x16962),x16964)))+P3(f62(f58(a12,f64(f93(x16961),x16963)),x16964)) % 3.87/3.88 [1772]~P3(f62(f58(a83,a89),x17724))+~P3(f62(f58(a84,a89),x17723))+~P3(f62(f58(a84,x17724),x17721))+P3(f62(f58(a83,a89),f57(f92(f57(f103(x17721),f57(f7(x17722),x17723))),x17724))) % 3.87/3.88 [1777]~P3(f62(f58(a84,a89),x17772))+~P3(f62(f58(a84,x17771),x17774))+~P3(f62(f58(a83,x17774),a89))+P3(f62(f58(a84,f57(f103(x17771),x17772)),f57(f92(f57(f103(x17771),f57(f7(x17773),x17772))),x17774))) % 3.87/3.88 [1803]~P3(f62(f58(a84,a89),x18033))+~P3(f62(f58(a84,x18031),x18034))+~P3(f62(f58(a83,x18034),a89))+P3(f62(f58(a83,f57(f92(f57(f103(x18031),f57(f7(x18032),x18033))),x18034)),a89)) % 3.87/3.88 [1168]~E(x11684,x11685)+~P3(f62(f107(x11685,x11682),x11683))+~P3(f62(f107(x11681,x11684),x11683))+P3(f62(f107(x11681,x11682),x11683)) % 3.87/3.88 [901]E(x9011,x9012)+~E(x9014,x9015)+E(x9013,a109)+~E(f67(f94(x9014),f67(f104(x9013),x9011)),f67(f94(x9015),f67(f104(x9013),x9012))) % 3.87/3.88 [902]E(x9021,x9022)+~E(x9024,x9025)+E(x9023,a110)+~E(f68(f95(x9024),f68(f105(x9023),x9021)),f68(f95(x9025),f68(f105(x9023),x9022))) % 3.87/3.88 [1818]~P1(x18181)+E(x18181,a89)+E(x18181,a80)+~P3(f62(f58(a83,a89),x18181))+~P3(f62(f58(a84,x18181),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.88 [1876]~P1(x18761)+~P3(f62(a111,x18761))+E(x18761,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))+E(x18761,f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(a80),a1)),a1))))+P3(f62(f58(a83,f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),x18761)) % 3.87/3.88 [1892]~P1(x18921)+E(x18921,a52)+~P3(f62(f58(a83,a89),x18921))+~P3(f62(f58(a84,x18921),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80)))+~P3(f62(f107(a90,x18921),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))) % 3.87/3.88 [710]~P1(x7102)+~P1(x7101)+~E(x7102,a80)+~E(x7101,a80)+E(f57(f103(x7101),x7102),a80) % 3.87/3.88 [727]~P1(x7272)+~P1(x7271)+~E(x7272,f2(a4))+~E(x7271,f2(a4))+E(f57(f103(x7271),x7272),a80) % 3.87/3.88 [733]~P1(x7331)+~P1(x7332)+E(x7331,a89)+E(x7332,a89)+~E(f57(f103(x7332),x7331),a89) % 3.87/3.88 [736]~P1(x7361)+~P1(x7362)+E(x7361,a80)+E(x7362,f2(a4))+~E(f57(f103(x7361),x7362),a80) % 3.87/3.88 [737]~P1(x7371)+~P1(x7372)+E(x7371,a80)+E(x7372,f2(a4))+~E(f57(f103(x7372),x7371),a80) % 3.87/3.88 [738]~P1(x7382)+~P1(x7381)+E(x7381,a80)+E(x7381,f2(a4))+~E(f57(f103(x7382),x7381),a80) % 3.87/3.88 [873]~P1(x8732)+~P1(x8731)+E(x8731,a80)+~E(f57(f103(x8732),x8731),a80)+~P3(f62(f58(a84,a89),x8732)) % 3.87/3.88 [874]~P1(x8742)+~P1(x8741)+E(x8741,a80)+~E(f57(f103(x8741),x8742),a80)+~P3(f62(f58(a84,a89),x8741)) % 3.87/3.88 [880]~P1(x8802)+~P1(x8801)+E(x8801,x8802)+P3(f62(f58(a84,x8802),x8801))+P3(f62(f58(a84,x8801),x8802)) % 3.87/3.88 [949]~P1(x9492)+~P1(x9491)+E(x9491,x9492)+P3(f62(f58(a84,x9491),x9492))+~P3(f62(f58(a83,x9491),x9492)) % 3.87/3.88 [1017]~P1(x10172)+~P1(x10171)+E(x10171,x10172)+~P3(f62(f58(a83,x10172),x10171))+~P3(f62(f58(a83,x10171),x10172)) % 3.87/3.88 [1181]~P1(x11811)+E(x11811,a89)+~P3(f62(f58(a83,a89),x11811))+~P3(f62(f58(a84,x11811),x11812))+~P3(f62(f107(x11811,a89),x11812)) % 3.87/3.88 [860]~P1(x8602)+~P1(x8601)+~E(x8602,a89)+~E(x8601,a89)+E(f57(f92(f57(f103(x8601),x8601)),f57(f103(x8602),x8602)),a89) % 3.87/3.88 [1135]~P1(x11352)+~P1(x11351)+E(x11351,x11352)+P3(f62(f58(a84,x11351),x11352))+~P3(f62(f58(a84,x11351),f57(f92(x11352),a80))) % 3.87/3.88 [1245]~P1(x12451)+E(x12451,f57(f76(x12452),a80))+~P3(f62(f58(a84,a89),x12451))+~P3(f62(f58(a84,x12451),x12452))+P3(f62(f58(a84,x12451),f57(f76(x12452),a80))) % 3.87/3.88 [1691]~P3(f62(a111,x16912))+~P3(f62(f58(a84,a89),x16911))+P3(f62(f107(x16911,a80),x16912))+P3(f62(f107(x16911,f57(f76(x16912),a80)),x16912))+~P3(f62(f107(f57(f103(x16911),x16911),a80),x16912)) % 3.87/3.88 [1731]~P1(x17311)+~P1(x17312)+~E(x17311,a89)+~E(x17312,a89)+~P3(f62(f58(a84,a89),f57(f92(f57(f103(x17312),x17312)),f57(f103(x17311),x17311)))) % 3.87/3.88 [1751]~P1(x17512)+~P1(x17511)+~E(x17512,a89)+~E(x17511,a89)+P3(f62(f58(a83,f57(f92(f57(f103(x17511),x17511)),f57(f103(x17512),x17512))),a89)) % 3.87/3.88 [1829]~P1(x18292)+~P1(x18291)+~E(x18292,a89)+~E(x18291,a89)+E(f57(f92(f64(f93(x18291),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18292),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a89) % 3.87/3.88 [1875]~P1(x18751)+~P1(x18752)+~E(x18751,a89)+~E(x18752,a89)+~P3(f62(f58(a84,a89),f57(f92(f64(f93(x18752),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18751),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))) % 3.87/3.88 [1878]~P1(x18782)+~P1(x18781)+~E(x18782,a89)+~E(x18781,a89)+P3(f62(f58(a83,f57(f92(f64(f93(x18781),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x18782),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))),a89)) % 3.87/3.88 [790]~P1(x7901)+~P1(x7903)+~P1(x7902)+~E(f102(f98(x7902,x7903)),x7901)+P3(f62(a106,x7901)) % 3.87/3.88 [1225]E(x12251,f22(x12252,x12253))+~E(f69(f97(x12251),x12253),x12252)+~P3(f65(f66(a87,a109),x12253))+~P3(f70(f71(a88,a110),x12251))+~P3(f70(f71(a88,a110),x12252)) % 3.87/3.88 [1243]E(x12431,x12432)+~E(f67(f96(x12431),x12433),f67(f96(x12432),x12433))+~P3(f65(f66(a87,a109),x12433))+~P3(f65(f66(a85,a109),x12431))+~P3(f65(f66(a85,a109),x12432)) % 3.87/3.88 [1244]E(x12441,x12442)+~E(f69(f97(x12441),x12443),f69(f97(x12442),x12443))+~P3(f65(f66(a87,a109),x12443))+~P3(f70(f71(a86,a110),x12442))+~P3(f70(f71(a86,a110),x12441)) % 3.87/3.88 [1540]~P3(f62(f58(a84,a89),x15402))+~P3(f62(f58(a84,a89),x15401))+~P3(f62(f107(x15401,x15402),x15403))+~P3(f62(f58(a84,x15402),x15401))+~P3(f62(f58(a84,x15401),x15403)) % 3.87/3.88 [1538]~P3(f62(a111,x15383))+~P3(f62(f58(a84,a80),x15381))+P3(f74(x15381,f108(x15382,x15383)))+~P3(f62(f58(a83,x15381),x15382))+~P3(f62(f58(a84,x15382),f57(f76(x15383),a80))) % 3.87/3.88 [1884]~P3(f62(a111,x18841))+P3(f74(f73(x18841,x18842),f108(x18843,x18841)))+~P3(f74(x18842,f108(x18843,x18841)))+~P3(f62(f58(a84,x18843),f57(f76(x18841),a80)))+~P3(f62(f58(a83,f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),x18841)) % 3.87/3.88 [1667]~P3(f62(f58(a83,a89),x16672))+~P3(f62(f58(a83,a89),x16673))+~P3(f62(f58(a83,x16672),x16674))+~P3(f62(f58(a83,x16671),x16673))+P3(f62(f58(a83,f57(f103(x16671),x16672)),f57(f103(x16673),x16674))) % 3.87/3.88 [1668]~P3(f62(f58(a83,a89),x16682))+~P3(f62(f58(a83,a89),x16681))+~P3(f62(f58(a83,x16682),x16684))+~P3(f62(f58(a83,x16681),x16683))+P3(f62(f58(a83,f57(f103(x16681),x16682)),f57(f103(x16683),x16684))) % 3.87/3.88 [1671]~P3(f70(f71(a86,a110),x16712))+~P3(f70(f71(a86,a110),x16713))+~P3(f70(f71(a86,x16712),x16714))+~P3(f70(f71(a86,x16711),x16713))+P3(f70(f71(a86,f68(f105(x16711),x16712)),f68(f105(x16713),x16714))) % 3.87/3.88 [1672]~P3(f70(f71(a86,a110),x16722))+~P3(f70(f71(a86,a110),x16721))+~P3(f70(f71(a86,x16722),x16724))+~P3(f70(f71(a86,x16721),x16723))+P3(f70(f71(a86,f68(f105(x16721),x16722)),f68(f105(x16723),x16724))) % 3.87/3.88 [1575]~P3(f62(x15752,x15754))+P1(f30(x15751,x15752,x15753))+~P3(f62(f58(a83,a89),x15751))+~P3(f62(f58(a84,a89),x15753))+P3(f62(x15752,f57(f76(x15754),f57(f103(x15751),x15753)))) % 3.87/3.88 [1576]~P3(f62(x15762,x15764))+P1(f31(x15761,x15762,x15763))+~P3(f62(f58(a83,a89),x15761))+~P3(f62(f58(a84,a89),x15763))+P3(f62(x15762,f57(f92(x15764),f57(f103(x15761),x15763)))) % 3.87/3.88 [1674]~P3(f62(x16741,x16744))+~P3(f62(f58(a83,a89),x16742))+~P3(f62(f58(a84,a89),x16743))+P3(f62(x16741,f30(x16742,x16741,x16743)))+P3(f62(x16741,f57(f76(x16744),f57(f103(x16742),x16743)))) % 3.87/3.88 [1675]~P3(f62(x16751,x16754))+~P3(f62(f58(a83,a89),x16752))+~P3(f62(f58(a84,a89),x16753))+P3(f62(x16751,f31(x16752,x16751,x16753)))+P3(f62(x16751,f57(f92(x16754),f57(f103(x16752),x16753)))) % 3.87/3.88 [1796]~P3(f62(x17961,x17962))+~P3(f62(f58(a83,a89),x17963))+~P3(f62(f58(a84,a89),x17964))+~P3(f62(x17961,f57(f92(f31(x17963,x17961,x17964)),x17964)))+P3(f62(x17961,f57(f92(x17962),f57(f103(x17963),x17964)))) % 3.87/3.88 [1797]~P3(f62(x17971,x17972))+~P3(f62(f58(a83,a89),x17973))+~P3(f62(f58(a84,a89),x17974))+~P3(f62(x17971,f57(f76(f30(x17973,x17971,x17974)),x17974)))+P3(f62(x17971,f57(f76(x17972),f57(f103(x17973),x17974)))) % 3.87/3.88 [1848]~P3(f62(a111,x18482))+P3(f62(f107(x18481,a89),x18482))+P3(f62(f107(f57(f103(x18483),x18481),x18484),x18482))+~P3(f62(f107(f57(f103(x18483),x18481),f57(f103(f57(f103(x18484),f78(x18482,x18481))),x18481)),x18482))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18482)) % 3.87/3.88 [1852]~P3(f62(a111,x18522))+P3(f62(f107(x18521,a89),x18522))+P3(f62(f107(x18523,f57(f103(x18524),f78(x18522,x18521))),x18522))+~P3(f62(f107(f57(f103(f57(f103(f78(x18522,x18521)),x18521)),x18523),f57(f103(f78(x18522,x18521)),x18524)),x18522))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18522)) % 3.87/3.88 [1377]E(x13771,a109)+P3(f65(x13772,x13773))+~E(x13774,f67(f94(f67(f104(x13771),x13775)),x13773))+~P3(f65(f66(a87,x13773),x13771))+~P3(f65(x13772,f67(f13(x13774),x13771))) % 3.87/3.88 [1800]~P3(f62(f58(a83,a89),x18005))+P3(f62(f58(a83,x18001),x18002))+~P3(f62(f58(a84,x18003),x18004))+~P3(f62(f58(a84,x18005),x18004))+~P3(f62(f58(a83,f57(f92(f57(f103(x18004),x18001)),x18005)),f57(f92(f57(f103(x18004),x18002)),x18003))) % 3.87/3.88 [1801]~P3(f62(f58(a84,x18013),x18015))+P3(f62(f58(a83,x18011),x18012))+~P3(f62(f58(a84,x18013),x18014))+~P3(f62(f58(a83,x18014),a89))+~P3(f62(f58(a83,f57(f92(f57(f103(x18013),x18012)),x18015)),f57(f92(f57(f103(x18013),x18011)),x18014))) % 3.87/3.88 [1821]~P1(x18212)+~P1(x18211)+E(x18211,x18212)+~P3(f62(f58(a83,a89),x18212))+~P3(f62(f58(a83,a89),x18211))+~E(f64(f93(x18211),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f64(f93(x18212),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))) % 3.87/3.88 [1883]~P1(x18832)+E(f73(x18831,f73(x18831,x18832)),x18832)+~P3(f62(a111,x18831))+~P3(f62(f58(a84,a89),x18832))+~P3(f62(f58(a84,x18832),x18831))+~P3(f62(f58(a83,f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),x18831)) % 3.87/3.88 [1381]~P1(x13811)+E(x13811,f32(x13812,x13813))+~P3(f62(f107(x13812,x13811),x13813))+~P3(f62(f58(a83,a89),x13811))+~P3(f62(f58(a84,a89),x13813))+~P3(f62(f58(a84,x13811),x13813)) % 3.87/3.88 [1838]~P3(f62(a111,x18383))+P3(f62(f107(x18381,x18382),x18383))+P3(f62(f107(x18382,a89),x18383))+P3(f62(f107(x18381,a89),x18383))+~P3(f62(f107(f78(x18383,x18381),f78(x18383,x18382)),x18383))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18383)) % 3.87/3.88 [1842]~P3(f62(a111,x18421))+P3(f62(f99(x18421),x18422))+P3(f62(f107(x18422,a89),x18421))+P3(f62(f107(x18423,a89),x18421))+~P3(f62(f107(x18423,f57(f103(x18422),f78(x18421,x18423))),x18421))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18421)) % 3.87/3.88 [1106]~E(x11061,x11063)+~P1(x11064)+~P1(x11062)+~P1(x11063)+~P1(x11061)+E(f57(f92(f57(f103(x11061),x11062)),f57(f103(x11063),x11064)),f57(f92(f57(f103(x11061),x11064)),f57(f103(x11063),x11062))) % 3.87/3.88 [1844]~P3(f62(a111,x18442))+P3(f62(f107(x18441,a89),x18442))+P3(f62(f107(x18443,a89),x18442))+P3(f62(f107(x18443,f57(f103(x18444),f78(x18442,x18441))),x18442))+~P3(f62(f107(x18441,f57(f103(x18444),f78(x18442,x18443))),x18442))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18442)) % 3.87/3.88 [1779]~E(f57(f92(x17791),x17793),a80)+~P3(f62(f58(a83,a89),x17793))+~P3(f62(f58(a83,a89),x17791))+~P3(f62(f58(a84,x17794),x17795))+~P3(f62(f58(a84,x17792),x17795))+P3(f62(f58(a84,f57(f92(f57(f103(x17791),x17792)),f57(f103(x17793),x17794))),x17795)) % 3.87/3.88 [1780]~E(f68(f95(x17801),x17803),a82)+~P3(f70(f71(a86,a110),x17803))+~P3(f70(f71(a86,a110),x17801))+~P3(f70(f71(a88,x17804),x17805))+~P3(f70(f71(a88,x17802),x17805))+P3(f70(f71(a88,f68(f95(f68(f105(x17801),x17802)),f68(f105(x17803),x17804))),x17805)) % 3.87/3.88 [1088]~P1(x10882)+~P1(x10881)+E(x10881,x10882)+E(x10881,a80)+~P3(f62(a111,x10882))+~P3(f62(f58(a83,a89),x10881))+~P3(f62(f58(a12,x10881),x10882)) % 3.87/3.88 [1378]~P1(x13782)+~P1(x13781)+E(x13781,x13782)+~P3(f62(f58(a83,a89),x13782))+~P3(f62(f58(a83,a89),x13781))+~P3(f62(f58(a12,x13782),x13781))+~P3(f62(f58(a12,x13781),x13782)) % 3.87/3.88 [1592]~P1(x15921)+E(x15921,a80)+E(x15921,f57(f76(x15922),a80))+~P3(f62(a111,x15922))+~P3(f62(f58(a84,a89),x15921))+~P3(f62(f58(a84,x15921),x15922))+~P3(f62(f107(f57(f103(x15921),x15921),a80),x15922)) % 3.87/3.88 [1260]~P1(x12602)+~P1(x12601)+E(x12601,x12602)+~E(f64(f93(x12601),x12603),f64(f93(x12602),x12603))+~P3(f62(f58(a83,a89),x12602))+~P3(f62(f58(a83,a89),x12601))+~P3(f65(f66(a87,a109),x12603)) % 3.87/3.88 [1382]~P1(x13822)+~P1(x13821)+E(x13821,x13822)+E(x13821,f73(x13823,x13822))+~P3(f74(x13821,f108(x13822,x13823)))+~P3(f62(f58(a84,a80),x13822))+P3(f74(x13821,f108(f57(f76(x13822),a80),x13823))) % 3.87/3.88 [1885]~P3(f62(a111,x18853))+~P3(f62(f58(a84,a80),x18851))+~P3(f74(f73(x18853,x18851),f108(x18852,x18853)))+P3(f74(x18851,f108(x18852,x18853)))+~P3(f62(f58(a84,x18852),f57(f76(x18853),a80)))+~P3(f62(f58(a84,x18851),f57(f76(x18853),a80)))+~P3(f62(f58(a83,f2(f57(f92(f57(f92(a80),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),x18853)) % 3.87/3.88 [1365]~P1(x13652)+~P1(x13654)+~P1(x13651)+~P1(x13653)+E(x13651,x13652)+E(x13653,x13654)+~E(f57(f92(f57(f103(x13653),x13651)),f57(f103(x13654),x13652)),f57(f92(f57(f103(x13653),x13652)),f57(f103(x13654),x13651))) % 3.87/3.88 [1845]~P3(f62(a111,x18453))+P3(f62(f107(x18451,x18452),x18453))+P3(f62(f107(x18451,a89),x18453))+P3(f62(f107(x18452,a89),x18453))+P3(f62(f107(x18454,a89),x18453))+~P3(f62(f107(f57(f103(x18454),f78(x18453,x18451)),f57(f103(x18454),f78(x18453,x18452))),x18453))+~P3(f62(f58(a84,f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))),x18453)) % 3.87/3.88 [943]~P1(x9433)+~P1(x9432)+~P1(x9431)+E(x9431,x9432)+~E(x9434,x9435)+E(x9433,a89)+~E(f57(f92(x9434),f57(f103(x9433),x9431)),f57(f92(x9435),f57(f103(x9433),x9432))) % 3.87/3.88 [1775]~P3(f62(f58(a83,a89),x17754))+~P3(f62(f58(a84,a89),x17755))+~E(f57(f92(f57(f103(x17753),x17751)),x17754),f57(f92(f57(f103(x17755),x17752)),x17756))+~P3(f62(f58(a83,x17755),x17753))+~P3(f62(f58(a84,x17756),x17755))+P3(f62(f58(a83,x17751),x17752))+~P3(f62(f58(a83,a89),f57(f92(f57(f103(x17755),x17752)),x17756))) % 3.87/3.88 [1798]~P3(f62(f58(a83,a89),x17986))+~P3(f62(f58(a84,a89),x17985))+~E(f57(f92(f57(f103(x17983),x17982)),x17984),f57(f92(f57(f103(x17985),x17981)),x17986))+~P3(f62(f58(a83,x17985),x17983))+~P3(f62(f58(a84,x17984),x17983))+P3(f62(f58(a83,x17981),x17982))+~P3(f62(f58(a84,f57(f92(f57(f103(x17985),x17981)),x17986)),a89)) % 3.87/3.88 [1548]~P1(x15482)+~P1(x15481)+E(x15481,x15482)+~P3(f62(f58(a83,a89),x15482))+~P3(f62(f58(a83,a89),x15481))+~P3(f62(f107(x15482,x15481),x15483))+~P3(f62(f58(a84,x15482),x15483))+~P3(f62(f58(a84,x15481),x15483)) % 3.87/3.88 [1385]~P1(x13853)+~P1(x13851)+E(x13851,a89)+E(f57(f7(x13852),x13851),x13853)+P3(f62(f58(a84,a89),x13851))+~E(x13852,f57(f92(f57(f103(x13851),x13854)),x13853))+~P3(f62(f58(a84,x13851),x13853))+~P3(f62(f58(a83,x13853),a89)) % 3.87/3.88 [1414]~P1(x14143)+~P1(x14141)+E(x14141,a89)+E(f57(f7(x14142),x14141),x14143)+~P3(f62(f58(a83,a89),x14143))+~P3(f62(f58(a84,a89),x14141))+~E(x14142,f57(f92(f57(f103(x14141),x14144)),x14143))+~P3(f62(f58(a84,x14143),x14141)) % 3.87/3.88 [1556]~P1(x15562)+~P1(x15565)+~P4(x15561,x15563,x15564)+P3(f62(x15561,x15562))+~P3(f62(f58(a83,a89),x15562))+~P3(f62(f58(a84,a89),x15564))+~E(x15563,f57(f92(f57(f103(x15564),x15565)),x15562))+~P3(f62(f58(a84,x15562),x15564)) % 3.87/3.88 [1574]~P1(x15742)+~P1(x15745)+~P4(x15741,x15743,x15744)+P3(f62(x15741,x15742))+~E(x15743,f57(f92(f57(f103(x15744),x15745)),x15742))+~P3(f62(f58(a84,x15744),x15742))+~P3(f62(f58(a84,x15744),a89))+~P3(f62(f58(a83,x15742),a89)) % 3.87/3.88 [1655]~P1(x16552)+~P1(x16551)+E(x16551,x16552)+~P3(f62(f58(a84,a89),x16553))+~P3(f62(f58(a84,a89),x16552))+~P3(f62(f58(a84,a89),x16551))+~P3(f62(f107(x16552,x16551),x16553))+~P3(f62(f58(a84,x16552),x16553))+~P3(f62(f58(a84,x16551),x16553)) % 3.87/3.88 [1590]~P1(x15903)+~P1(x15901)+E(x15901,a89)+E(f57(f7(x15902),x15901),x15903)+~P3(f62(f58(a83,a89),x15903))+~E(x15902,f57(f92(f57(f103(x15901),x15904)),x15903))+~P3(f62(f58(a84,x15903),x15901))+~P3(f62(f58(a84,x15901),x15903))+~P3(f62(f58(a83,x15903),a89)) % 3.87/3.88 %EqnAxiom % 3.87/3.88 [1]E(x11,x11) % 3.87/3.88 [2]E(x22,x21)+~E(x21,x22) % 3.87/3.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 3.87/3.88 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 3.87/3.88 [5]~E(x51,x52)+E(f62(x51,x53),f62(x52,x53)) % 3.87/3.88 [6]~E(x61,x62)+E(f62(x63,x61),f62(x63,x62)) % 3.87/3.88 [7]~E(x71,x72)+E(f79(x71),f79(x72)) % 3.87/3.88 [8]~E(x81,x82)+E(f3(x81),f3(x82)) % 3.87/3.88 [9]~E(x91,x92)+E(f57(x91,x93),f57(x92,x93)) % 3.87/3.88 [10]~E(x101,x102)+E(f57(x103,x101),f57(x103,x102)) % 3.87/3.88 [11]~E(x111,x112)+E(f92(x111),f92(x112)) % 3.87/3.88 [12]~E(x121,x122)+E(f71(x121,x123),f71(x122,x123)) % 3.87/3.88 [13]~E(x131,x132)+E(f71(x133,x131),f71(x133,x132)) % 3.87/3.88 [14]~E(x141,x142)+E(f67(x141,x143),f67(x142,x143)) % 3.87/3.88 [15]~E(x151,x152)+E(f67(x153,x151),f67(x153,x152)) % 3.87/3.88 [16]~E(x161,x162)+E(f69(x161,x163),f69(x162,x163)) % 3.87/3.88 [17]~E(x171,x172)+E(f69(x173,x171),f69(x173,x172)) % 3.87/3.88 [18]~E(x181,x182)+E(f104(x181),f104(x182)) % 3.87/3.88 [19]~E(x191,x192)+E(f101(x191),f101(x192)) % 3.87/3.88 [20]~E(x201,x202)+E(f102(x201),f102(x202)) % 3.87/3.88 [21]~E(x211,x212)+E(f66(x211,x213),f66(x212,x213)) % 3.87/3.88 [22]~E(x221,x222)+E(f66(x223,x221),f66(x223,x222)) % 3.87/3.88 [23]~E(x231,x232)+E(f70(x231,x233),f70(x232,x233)) % 3.87/3.88 [24]~E(x241,x242)+E(f70(x243,x241),f70(x243,x242)) % 3.87/3.88 [25]~E(x251,x252)+E(f103(x251),f103(x252)) % 3.87/3.88 [26]~E(x261,x262)+E(f97(x261),f97(x262)) % 3.87/3.88 [27]~E(x271,x272)+E(f65(x271,x273),f65(x272,x273)) % 3.87/3.88 [28]~E(x281,x282)+E(f65(x283,x281),f65(x283,x282)) % 3.87/3.88 [29]~E(x291,x292)+E(f58(x291,x293),f58(x292,x293)) % 3.87/3.88 [30]~E(x301,x302)+E(f58(x303,x301),f58(x303,x302)) % 3.87/3.88 [31]~E(x311,x312)+E(f96(x311),f96(x312)) % 3.87/3.88 [32]~E(x321,x322)+E(f48(x321,x323,x324),f48(x322,x323,x324)) % 3.87/3.88 [33]~E(x331,x332)+E(f48(x333,x331,x334),f48(x333,x332,x334)) % 3.87/3.88 [34]~E(x341,x342)+E(f48(x343,x344,x341),f48(x343,x344,x342)) % 3.87/3.88 [35]~E(x351,x352)+E(f7(x351),f7(x352)) % 3.87/3.88 [36]~E(x361,x362)+E(f68(x361,x363),f68(x362,x363)) % 3.87/3.88 [37]~E(x371,x372)+E(f68(x373,x371),f68(x373,x372)) % 3.87/3.88 [38]~E(x381,x382)+E(f93(x381),f93(x382)) % 3.87/3.88 [39]~E(x391,x392)+E(f64(x391,x393),f64(x392,x393)) % 3.87/3.88 [40]~E(x401,x402)+E(f64(x403,x401),f64(x403,x402)) % 3.87/3.88 [41]~E(x411,x412)+E(f75(x411),f75(x412)) % 3.87/3.88 [42]~E(x421,x422)+E(f107(x421,x423),f107(x422,x423)) % 3.87/3.88 [43]~E(x431,x432)+E(f107(x433,x431),f107(x433,x432)) % 3.87/3.88 [44]~E(x441,x442)+E(f46(x441,x443,x444),f46(x442,x443,x444)) % 3.87/3.88 [45]~E(x451,x452)+E(f46(x453,x451,x454),f46(x453,x452,x454)) % 3.87/3.88 [46]~E(x461,x462)+E(f46(x463,x464,x461),f46(x463,x464,x462)) % 3.87/3.88 [47]~E(x471,x472)+E(f76(x471),f76(x472)) % 3.87/3.88 [48]~E(x481,x482)+E(f11(x481),f11(x482)) % 3.87/3.88 [49]~E(x491,x492)+E(f78(x491,x493),f78(x492,x493)) % 3.87/3.88 [50]~E(x501,x502)+E(f78(x503,x501),f78(x503,x502)) % 3.87/3.88 [51]~E(x511,x512)+E(f94(x511),f94(x512)) % 3.87/3.88 [52]~E(x521,x522)+E(f105(x521),f105(x522)) % 3.87/3.88 [53]~E(x531,x532)+E(f19(x531,x533,x534),f19(x532,x533,x534)) % 3.87/3.88 [54]~E(x541,x542)+E(f19(x543,x541,x544),f19(x543,x542,x544)) % 3.87/3.88 [55]~E(x551,x552)+E(f19(x553,x554,x551),f19(x553,x554,x552)) % 3.87/3.88 [56]~E(x561,x562)+E(f13(x561),f13(x562)) % 3.87/3.88 [57]~E(x571,x572)+E(f72(x571,x573),f72(x572,x573)) % 3.87/3.88 [58]~E(x581,x582)+E(f72(x583,x581),f72(x583,x582)) % 3.87/3.88 [59]~E(x591,x592)+E(f95(x591),f95(x592)) % 3.87/3.88 [60]~E(x601,x602)+E(f36(x601,x603,x604),f36(x602,x603,x604)) % 3.87/3.88 [61]~E(x611,x612)+E(f36(x613,x611,x614),f36(x613,x612,x614)) % 3.87/3.88 [62]~E(x621,x622)+E(f36(x623,x624,x621),f36(x623,x624,x622)) % 3.87/3.88 [63]~E(x631,x632)+E(f50(x631,x633,x634),f50(x632,x633,x634)) % 3.87/3.88 [64]~E(x641,x642)+E(f50(x643,x641,x644),f50(x643,x642,x644)) % 3.87/3.88 [65]~E(x651,x652)+E(f50(x653,x654,x651),f50(x653,x654,x652)) % 3.87/3.88 [66]~E(x661,x662)+E(f51(x661,x663,x664),f51(x662,x663,x664)) % 3.87/3.88 [67]~E(x671,x672)+E(f51(x673,x671,x674),f51(x673,x672,x674)) % 3.87/3.88 [68]~E(x681,x682)+E(f51(x683,x684,x681),f51(x683,x684,x682)) % 3.87/3.88 [69]~E(x691,x692)+E(f59(x691,x693),f59(x692,x693)) % 3.87/3.88 [70]~E(x701,x702)+E(f59(x703,x701),f59(x703,x702)) % 3.87/3.88 [71]~E(x711,x712)+E(f98(x711,x713),f98(x712,x713)) % 3.87/3.88 [72]~E(x721,x722)+E(f98(x723,x721),f98(x723,x722)) % 3.87/3.88 [73]~E(x731,x732)+E(f31(x731,x733,x734),f31(x732,x733,x734)) % 3.87/3.88 [74]~E(x741,x742)+E(f31(x743,x741,x744),f31(x743,x742,x744)) % 3.87/3.88 [75]~E(x751,x752)+E(f31(x753,x754,x751),f31(x753,x754,x752)) % 3.87/3.88 [76]~E(x761,x762)+E(f30(x761,x763,x764),f30(x762,x763,x764)) % 3.87/3.88 [77]~E(x771,x772)+E(f30(x773,x771,x774),f30(x773,x772,x774)) % 3.87/3.88 [78]~E(x781,x782)+E(f30(x783,x784,x781),f30(x783,x784,x782)) % 3.87/3.88 [79]~E(x791,x792)+E(f73(x791,x793),f73(x792,x793)) % 3.87/3.88 [80]~E(x801,x802)+E(f73(x803,x801),f73(x803,x802)) % 3.87/3.88 [81]~E(x811,x812)+E(f108(x811,x813),f108(x812,x813)) % 3.87/3.88 [82]~E(x821,x822)+E(f108(x823,x821),f108(x823,x822)) % 3.87/3.88 [83]~E(x831,x832)+E(f34(x831,x833,x834),f34(x832,x833,x834)) % 3.87/3.88 [84]~E(x841,x842)+E(f34(x843,x841,x844),f34(x843,x842,x844)) % 3.87/3.88 [85]~E(x851,x852)+E(f34(x853,x854,x851),f34(x853,x854,x852)) % 3.87/3.88 [86]~E(x861,x862)+E(f24(x861,x863,x864),f24(x862,x863,x864)) % 3.87/3.88 [87]~E(x871,x872)+E(f24(x873,x871,x874),f24(x873,x872,x874)) % 3.87/3.88 [88]~E(x881,x882)+E(f24(x883,x884,x881),f24(x883,x884,x882)) % 3.87/3.88 [89]~E(x891,x892)+E(f74(x891,x893),f74(x892,x893)) % 3.87/3.88 [90]~E(x901,x902)+E(f74(x903,x901),f74(x903,x902)) % 3.87/3.88 [91]~E(x911,x912)+E(f45(x911,x913,x914),f45(x912,x913,x914)) % 3.87/3.88 [92]~E(x921,x922)+E(f45(x923,x921,x924),f45(x923,x922,x924)) % 3.87/3.88 [93]~E(x931,x932)+E(f45(x933,x934,x931),f45(x933,x934,x932)) % 3.87/3.88 [94]~E(x941,x942)+E(f9(x941,x943),f9(x942,x943)) % 3.87/3.88 [95]~E(x951,x952)+E(f9(x953,x951),f9(x953,x952)) % 3.87/3.88 [96]~E(x961,x962)+E(f47(x961,x963,x964),f47(x962,x963,x964)) % 3.87/3.88 [97]~E(x971,x972)+E(f47(x973,x971,x974),f47(x973,x972,x974)) % 3.87/3.88 [98]~E(x981,x982)+E(f47(x983,x984,x981),f47(x983,x984,x982)) % 3.87/3.88 [99]~E(x991,x992)+E(f33(x991,x993,x994),f33(x992,x993,x994)) % 3.87/3.88 [100]~E(x1001,x1002)+E(f33(x1003,x1001,x1004),f33(x1003,x1002,x1004)) % 3.87/3.88 [101]~E(x1011,x1012)+E(f33(x1013,x1014,x1011),f33(x1013,x1014,x1012)) % 3.87/3.88 [102]~E(x1021,x1022)+E(f25(x1021,x1023,x1024),f25(x1022,x1023,x1024)) % 3.87/3.88 [103]~E(x1031,x1032)+E(f25(x1033,x1031,x1034),f25(x1033,x1032,x1034)) % 3.87/3.88 [104]~E(x1041,x1042)+E(f25(x1043,x1044,x1041),f25(x1043,x1044,x1042)) % 3.87/3.88 [105]~E(x1051,x1052)+E(f29(x1051),f29(x1052)) % 3.87/3.88 [106]~E(x1061,x1062)+E(f28(x1061,x1063),f28(x1062,x1063)) % 3.87/3.88 [107]~E(x1071,x1072)+E(f28(x1073,x1071),f28(x1073,x1072)) % 3.87/3.88 [108]~E(x1081,x1082)+E(f8(x1081,x1083),f8(x1082,x1083)) % 3.87/3.88 [109]~E(x1091,x1092)+E(f8(x1093,x1091),f8(x1093,x1092)) % 3.87/3.88 [110]~E(x1101,x1102)+E(f99(x1101),f99(x1102)) % 3.87/3.88 [111]~E(x1111,x1112)+E(f18(x1111,x1113),f18(x1112,x1113)) % 3.87/3.88 [112]~E(x1121,x1122)+E(f18(x1123,x1121),f18(x1123,x1122)) % 3.87/3.88 [113]~E(x1131,x1132)+E(f77(x1131),f77(x1132)) % 3.87/3.88 [114]~E(x1141,x1142)+E(f35(x1141,x1143,x1144),f35(x1142,x1143,x1144)) % 3.87/3.88 [115]~E(x1151,x1152)+E(f35(x1153,x1151,x1154),f35(x1153,x1152,x1154)) % 3.87/3.88 [116]~E(x1161,x1162)+E(f35(x1163,x1164,x1161),f35(x1163,x1164,x1162)) % 3.87/3.88 [117]~E(x1171,x1172)+E(f22(x1171,x1173),f22(x1172,x1173)) % 3.87/3.88 [118]~E(x1181,x1182)+E(f22(x1183,x1181),f22(x1183,x1182)) % 3.87/3.88 [119]~E(x1191,x1192)+E(f38(x1191,x1193),f38(x1192,x1193)) % 3.87/3.88 [120]~E(x1201,x1202)+E(f38(x1203,x1201),f38(x1203,x1202)) % 3.87/3.88 [121]~E(x1211,x1212)+E(f55(x1211),f55(x1212)) % 3.87/3.88 [122]~E(x1221,x1222)+E(f63(x1221,x1223),f63(x1222,x1223)) % 3.87/3.88 [123]~E(x1231,x1232)+E(f63(x1233,x1231),f63(x1233,x1232)) % 3.87/3.88 [124]~E(x1241,x1242)+E(f61(x1241,x1243),f61(x1242,x1243)) % 3.87/3.88 [125]~E(x1251,x1252)+E(f61(x1253,x1251),f61(x1253,x1252)) % 3.87/3.88 [126]~E(x1261,x1262)+E(f112(x1261),f112(x1262)) % 3.87/3.88 [127]~E(x1271,x1272)+E(f32(x1271,x1273),f32(x1272,x1273)) % 3.87/3.88 [128]~E(x1281,x1282)+E(f32(x1283,x1281),f32(x1283,x1282)) % 3.87/3.88 [129]~E(x1291,x1292)+E(f41(x1291,x1293),f41(x1292,x1293)) % 3.87/3.88 [130]~E(x1301,x1302)+E(f41(x1303,x1301),f41(x1303,x1302)) % 3.87/3.88 [131]~E(x1311,x1312)+E(f39(x1311,x1313),f39(x1312,x1313)) % 3.87/3.88 [132]~E(x1321,x1322)+E(f39(x1323,x1321),f39(x1323,x1322)) % 3.87/3.88 [133]~E(x1331,x1332)+E(f10(x1331,x1333),f10(x1332,x1333)) % 3.87/3.88 [134]~E(x1341,x1342)+E(f10(x1343,x1341),f10(x1343,x1342)) % 3.87/3.88 [135]~E(x1351,x1352)+E(f17(x1351),f17(x1352)) % 3.87/3.88 [136]~E(x1361,x1362)+E(f40(x1361,x1363,x1364),f40(x1362,x1363,x1364)) % 3.87/3.88 [137]~E(x1371,x1372)+E(f40(x1373,x1371,x1374),f40(x1373,x1372,x1374)) % 3.87/3.88 [138]~E(x1381,x1382)+E(f40(x1383,x1384,x1381),f40(x1383,x1384,x1382)) % 3.87/3.88 [139]~E(x1391,x1392)+E(f37(x1391,x1393,x1394),f37(x1392,x1393,x1394)) % 3.87/3.88 [140]~E(x1401,x1402)+E(f37(x1403,x1401,x1404),f37(x1403,x1402,x1404)) % 3.87/3.88 [141]~E(x1411,x1412)+E(f37(x1413,x1414,x1411),f37(x1413,x1414,x1412)) % 3.87/3.88 [142]~E(x1421,x1422)+E(f26(x1421),f26(x1422)) % 3.87/3.88 [143]~E(x1431,x1432)+E(f21(x1431,x1433),f21(x1432,x1433)) % 3.87/3.88 [144]~E(x1441,x1442)+E(f21(x1443,x1441),f21(x1443,x1442)) % 3.87/3.88 [145]~E(x1451,x1452)+E(f23(x1451,x1453),f23(x1452,x1453)) % 3.87/3.88 [146]~E(x1461,x1462)+E(f23(x1463,x1461),f23(x1463,x1462)) % 3.87/3.88 [147]~E(x1471,x1472)+E(f20(x1471,x1473),f20(x1472,x1473)) % 3.87/3.88 [148]~E(x1481,x1482)+E(f20(x1483,x1481),f20(x1483,x1482)) % 3.87/3.88 [149]~E(x1491,x1492)+E(f43(x1491,x1493),f43(x1492,x1493)) % 3.87/3.88 [150]~E(x1501,x1502)+E(f43(x1503,x1501),f43(x1503,x1502)) % 3.87/3.88 [151]~E(x1511,x1512)+E(f42(x1511,x1513),f42(x1512,x1513)) % 3.87/3.88 [152]~E(x1521,x1522)+E(f42(x1523,x1521),f42(x1523,x1522)) % 3.87/3.88 [153]~P1(x1531)+P1(x1532)+~E(x1531,x1532) % 3.87/3.88 [154]~P3(x1541)+P3(x1542)+~E(x1541,x1542) % 3.87/3.88 [155]P4(x1552,x1553,x1554)+~E(x1551,x1552)+~P4(x1551,x1553,x1554) % 3.87/3.88 [156]P4(x1563,x1562,x1564)+~E(x1561,x1562)+~P4(x1563,x1561,x1564) % 3.87/3.88 [157]P4(x1573,x1574,x1572)+~E(x1571,x1572)+~P4(x1573,x1574,x1571) % 3.87/3.88 [158]~P2(x1581)+P2(x1582)+~E(x1581,x1582) % 3.87/3.88 % 3.87/3.88 %------------------------------------------- % 3.87/3.89 cnf(1916,plain, % 3.87/3.89 (E(f67(f104(a109),x19161),f67(f104(a109),x19162))), % 3.87/3.89 inference(equality_inference,[],[720])). % 3.87/3.89 cnf(1917,plain, % 3.87/3.89 (E(f67(f13(f67(f104(x19171),x19172)),x19171),a109)), % 3.87/3.89 inference(equality_inference,[],[740])). % 3.87/3.89 cnf(1942,plain, % 3.87/3.89 (~P3(f70(f71(a88,x19421),x19421))), % 3.87/3.89 inference(equality_inference,[],[825])). % 3.87/3.89 cnf(1945,plain, % 3.87/3.89 (P3(f65(f66(a87,a109),f67(f96(x19451),a109)))), % 3.87/3.89 inference(equality_inference,[],[849])). % 3.87/3.89 cnf(1949,plain, % 3.87/3.89 (~P3(f65(x19491,x19492))+P3(f65(x19491,f67(f13(x19492),a109)))), % 3.87/3.89 inference(equality_inference,[],[869])). % 3.87/3.89 cnf(1951,plain, % 3.87/3.89 (E(x19511,f67(f94(f67(f75(x19511),x19512)),x19512))+~P3(f65(f66(a85,x19512),x19511))), % 3.87/3.89 inference(equality_inference,[],[883])). % 3.87/3.89 cnf(1958,plain, % 3.87/3.89 (P3(f65(x19581,x19582))+~P3(f65(x19581,f67(f13(x19582),a109)))), % 3.87/3.89 inference(equality_inference,[],[936])). % 3.87/3.89 cnf(1959,plain, % 3.87/3.89 (P3(f62(f58(a12,x19592),f57(f76(x19591),x19591)))), % 3.87/3.89 inference(equality_inference,[],[954])). % 3.87/3.89 cnf(1960,plain, % 3.87/3.89 (P3(f65(x19601,x19602))+~P3(f65(x19601,f67(f75(f67(f94(x19603),x19602)),x19603)))), % 3.87/3.89 inference(equality_inference,[],[972])). % 3.87/3.89 cnf(1961,plain, % 3.87/3.89 (~P3(f70(f71(a88,a110),f68(f105(a110),a110)))), % 3.87/3.89 inference(equality_inference,[],[974])). % 3.87/3.89 cnf(1968,plain, % 3.87/3.89 (P3(f65(f66(a14,f67(f104(x19681),a109)),f67(f104(x19682),a109)))), % 3.87/3.89 inference(equality_inference,[],[1116])). % 3.87/3.89 cnf(1969,plain, % 3.87/3.89 (P3(f65(f66(a14,f67(f104(a109),x19691)),f67(f104(a109),x19692)))), % 3.87/3.89 inference(equality_inference,[],[1117])). % 3.87/3.89 cnf(1980,plain, % 3.87/3.89 (E(x19801,a109)+P3(f65(x19802,x19803))+~P3(f65(f66(a87,x19803),x19801))+~P3(f65(x19802,f67(f13(f67(f94(f67(f104(x19801),x19804)),x19803)),x19801)))), % 3.87/3.89 inference(equality_inference,[],[1377])). % 3.87/3.89 cnf(1981,plain, % 3.87/3.89 (~P1(x19811)+~P1(x19812)+E(x19812,a89)+E(f57(f7(f57(f92(f57(f103(x19812),x19813)),x19811)),x19812),x19811)+P3(f62(f58(a84,a89),x19812))+~P3(f62(f58(a84,x19812),x19811))+~P3(f62(f58(a83,x19811),a89))), % 3.87/3.89 inference(equality_inference,[],[1385])). % 3.87/3.89 cnf(1984,plain, % 3.87/3.89 (~P1(x19841)+~P4(x19842,f57(f92(f57(f103(x19843),x19844)),x19841),x19843)+~P1(x19844)+P3(f62(x19842,x19841))+~P3(f62(f58(a83,a89),x19841))+~P3(f62(f58(a84,a89),x19843))+~P3(f62(f58(a84,x19841),x19843))), % 3.87/3.89 inference(equality_inference,[],[1556])). % 3.87/3.89 cnf(1985,plain, % 3.87/3.89 (~P1(x19851)+~P4(x19852,f57(f92(f57(f103(x19853),x19854)),x19851),x19853)+~P1(x19854)+P3(f62(x19852,x19851))+~P3(f62(f58(a84,x19853),x19851))+~P3(f62(f58(a84,x19853),a89))+~P3(f62(f58(a83,x19851),a89))), % 3.87/3.89 inference(equality_inference,[],[1574])). % 3.87/3.89 cnf(1987,plain, % 3.87/3.89 (~P3(f65(f66(a85,x19871),x19871))+E(x19873,f67(f94(f67(f104(f67(f75(x19871),x19871)),x19872)),x19873))), % 3.87/3.89 inference(equality_inference,[],[1693])). % 3.87/3.89 cnf(1988,plain, % 3.87/3.89 (~P3(f65(f66(a85,x19881),x19881))+E(f67(f94(f67(f104(f67(f75(x19881),x19881)),x19882)),x19883),x19883)), % 3.87/3.89 inference(equality_inference,[],[1694])). % 3.87/3.89 cnf(1998,plain, % 3.87/3.89 (~P3(f70(f71(a88,a110),f69(f97(a110),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))), % 3.87/3.89 inference(equality_inference,[],[1830])). % 3.87/3.89 cnf(1999,plain, % 3.87/3.89 (~P1(a89)+~P3(f62(f58(a84,a89),f64(f93(a89),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))), % 3.87/3.89 inference(equality_inference,[],[1831])). % 3.87/3.89 cnf(2000,plain, % 3.87/3.89 (~P3(f62(f58(a84,a89),f64(f93(a89),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))))), % 3.87/3.89 inference(scs_inference,[],[171,1999])). % 3.87/3.89 cnf(2001,plain, % 3.87/3.89 (~E(a100,a80)), % 3.87/3.89 inference(scs_inference,[],[617,1881])). % 3.87/3.89 cnf(2002,plain, % 3.87/3.89 (~E(f57(f92(f64(f93(x20021),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f64(f93(x20022),f79(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),f57(f92(f57(f103(f2(f57(f92(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))),f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1))))),a5)),a80))), % 3.87/3.89 inference(rename_variables,[],[617])). % 3.87/3.89 cnf(2003,plain, % 3.87/3.89 (E(a1,f57(f92(a1),a1))), % 3.87/3.89 inference(scs_inference,[],[617,184,1881,2])). % 3.87/3.89 cnf(2007,plain, % 3.87/3.89 (~E(f57(f92(f57(f92(a80),x20071)),x20071),f57(f92(x20072),x20072))), % 3.87/3.89 inference(rename_variables,[],[606])). % 3.87/3.89 cnf(2008,plain, % 3.87/3.89 (~E(x20081,f57(f92(a80),x20081))), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,606,2007,1881,2,824,9,10])). % 3.87/3.89 cnf(2010,plain, % 3.87/3.89 (~E(f57(f92(a80),x20101),x20101)), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,606,2007,1881,2,824,9,10,11])). % 3.87/3.89 cnf(2015,plain, % 3.87/3.89 (E(f67(f104(x20151),f43(f67(f104(x20151),x20152),x20151)),f67(f104(x20151),x20152))), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,606,2007,593,493,1881,2,824,9,10,11,690,767,769])). % 3.87/3.89 cnf(2017,plain, % 3.87/3.89 (E(f67(f13(a109),x20171),a109)), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,606,2007,593,396,493,1881,2,824,9,10,11,690,767,769,811])). % 3.87/3.89 cnf(2021,plain, % 3.87/3.89 (P3(f62(f58(a83,x20211),x20211))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2028,plain, % 3.87/3.89 (P3(f62(f107(x20281,x20281),x20282))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2032,plain, % 3.87/3.89 (E(f57(f7(x20321),a80),a89)), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,296,606,2007,272,601,281,593,256,396,493,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836])). % 3.87/3.89 cnf(2033,plain, % 3.87/3.89 (P3(f62(f107(x20331,x20332),a80))), % 3.87/3.89 inference(rename_variables,[],[281])). % 3.87/3.89 cnf(2037,plain, % 3.87/3.89 (P1(f32(x20371,a80))), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,296,606,2007,272,601,281,593,256,258,322,396,493,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839])). % 3.87/3.89 cnf(2049,plain, % 3.87/3.89 (E(f67(f94(x20491),f20(x20491,x20491)),x20491)), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,296,606,2007,272,274,601,281,593,596,260,256,258,592,322,396,493,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877])). % 3.87/3.89 cnf(2057,plain, % 3.87/3.89 (P3(f62(f58(a84,a89),a100))), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,296,606,2007,272,274,601,263,281,593,596,260,249,256,258,592,322,396,493,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895])). % 3.87/3.89 cnf(2062,plain, % 3.87/3.89 (P3(f62(f58(a83,x20621),x20621))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2074,plain, % 3.87/3.89 (P3(f65(f66(a85,f79(a1)),f79(x20741)))), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,249,256,258,592,322,396,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967])). % 3.87/3.89 cnf(2075,plain, % 3.87/3.89 (P3(f62(f58(a83,x20751),x20751))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2077,plain, % 3.87/3.89 (P3(f62(f58(a83,a89),f32(x20771,a80)))), % 3.87/3.89 inference(scs_inference,[],[617,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,249,256,258,592,322,396,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973])). % 3.87/3.89 cnf(2079,plain, % 3.87/3.89 (~P3(f62(f58(a84,x20791),x20791))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,249,256,258,592,322,396,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981])). % 3.87/3.89 cnf(2084,plain, % 3.87/3.89 (P3(f65(f66(a87,a109),f41(a109,f67(f96(x20841),a109))))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,249,256,258,592,322,396,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989])). % 3.87/3.89 cnf(2088,plain, % 3.87/3.89 (~P3(f70(f71(a86,f3(a1)),f3(a4)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,249,256,258,592,322,396,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008])). % 3.87/3.89 cnf(2096,plain, % 3.87/3.89 (~P3(f62(f58(a83,f57(f92(x20961),a80)),x20961))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,595,249,256,258,592,322,396,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046])). % 3.87/3.89 cnf(2098,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x20981),f67(f94(x20982),x20983))),x20983))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,595,249,256,258,592,322,396,609,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055])). % 3.87/3.89 cnf(2099,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x20991),x20992)),x20992))), % 3.87/3.89 inference(rename_variables,[],[609])). % 3.87/3.89 cnf(2101,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x21011),f67(f94(x21012),x21013))),x21012))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,274,601,263,281,593,596,260,595,249,256,258,592,322,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056])). % 3.87/3.89 cnf(2102,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x21021),x21022)),x21022))), % 3.87/3.89 inference(rename_variables,[],[609])). % 3.87/3.89 cnf(2109,plain, % 3.87/3.89 (P3(f62(f58(a12,x21091),x21091))), % 3.87/3.89 inference(rename_variables,[],[273])). % 3.87/3.89 cnf(2111,plain, % 3.87/3.89 (P3(f62(f58(a84,a1),f57(f92(f57(f92(a80),a1)),a1)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,273,274,601,263,281,593,596,260,595,249,256,258,592,322,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095])). % 3.87/3.89 cnf(2113,plain, % 3.87/3.89 (P3(f62(f58(a84,f57(f76(x21131),a80)),x21131))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,2075,273,274,601,263,281,593,596,260,595,249,256,258,592,322,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112])). % 3.87/3.89 cnf(2114,plain, % 3.87/3.89 (P3(f62(f58(a83,x21141),x21141))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2118,plain, % 3.87/3.89 (P3(f62(f107(x21181,x21182),f57(f76(x21181),x21182)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,2075,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134])). % 3.87/3.89 cnf(2119,plain, % 3.87/3.89 (P3(f62(f58(a12,x21191),x21191))), % 3.87/3.89 inference(rename_variables,[],[273])). % 3.87/3.89 cnf(2121,plain, % 3.87/3.89 (~P3(f65(f66(a87,x21211),f67(f75(x21211),x21212)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,2075,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172])). % 3.87/3.89 cnf(2122,plain, % 3.87/3.89 (~P3(f65(f66(a87,x21221),x21221))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2126,plain, % 3.87/3.89 (P3(f62(f58(a84,x21261),f57(f92(x21261),a80)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263])). % 3.87/3.89 cnf(2127,plain, % 3.87/3.89 (P3(f62(f58(a83,x21271),x21271))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2131,plain, % 3.87/3.89 (P3(f62(f58(a12,x21311),f57(f103(x21312),f57(f103(x21313),x21311))))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,318,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313])). % 3.87/3.89 cnf(2132,plain, % 3.87/3.89 (P3(f62(f58(a12,x21321),f57(f103(x21322),x21321)))), % 3.87/3.89 inference(rename_variables,[],[318])). % 3.87/3.89 cnf(2134,plain, % 3.87/3.89 (P3(f62(f58(a12,x21341),f57(f103(x21342),f57(f103(x21341),x21343))))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,318,2132,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314])). % 3.87/3.89 cnf(2135,plain, % 3.87/3.89 (P3(f62(f58(a12,x21351),f57(f103(x21352),x21351)))), % 3.87/3.89 inference(rename_variables,[],[318])). % 3.87/3.89 cnf(2137,plain, % 3.87/3.89 (P3(f65(f66(a85,x21371),f67(f104(f67(f94(x21372),x21371)),f67(f94(x21372),x21371))))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,318,2132,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317])). % 3.87/3.89 cnf(2138,plain, % 3.87/3.89 (P3(f65(f66(a85,x21381),f67(f104(x21381),x21381)))), % 3.87/3.89 inference(rename_variables,[],[322])). % 3.87/3.89 cnf(2141,plain, % 3.87/3.89 (P3(f65(f66(a85,x21411),f67(f104(x21411),x21411)))), % 3.87/3.89 inference(rename_variables,[],[322])). % 3.87/3.89 cnf(2143,plain, % 3.87/3.89 (P3(f65(f66(a14,x21431),f67(f104(a109),x21432)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320])). % 3.87/3.89 cnf(2145,plain, % 3.87/3.89 (P3(f65(f66(a14,x21451),f67(f104(x21452),a109)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321])). % 3.87/3.89 cnf(2147,plain, % 3.87/3.89 (P3(f70(f71(a15,x21471),f68(f105(x21472),f68(f105(x21473),x21471))))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322])). % 3.87/3.89 cnf(2148,plain, % 3.87/3.89 (P3(f70(f71(a15,x21481),f68(f105(x21482),x21481)))), % 3.87/3.89 inference(rename_variables,[],[325])). % 3.87/3.89 cnf(2150,plain, % 3.87/3.89 (P3(f70(f71(a15,x21501),f68(f105(x21502),f68(f105(x21501),x21503))))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323])). % 3.87/3.89 cnf(2153,plain, % 3.87/3.89 (~P3(f65(f66(a87,x21531),f67(f75(f67(f94(x21531),x21532)),x21532)))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,273,2109,274,601,2122,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371])). % 3.87/3.89 cnf(2154,plain, % 3.87/3.89 (~P3(f65(f66(a87,x21541),x21541))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2157,plain, % 3.87/3.89 (P3(f65(f66(a85,x21571),x21571))), % 3.87/3.89 inference(rename_variables,[],[274])). % 3.87/3.89 cnf(2160,plain, % 3.87/3.89 (P3(f62(f58(a83,x21601),x21601))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2165,plain, % 3.87/3.89 (P3(f62(f58(a83,x21651),x21651))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2169,plain, % 3.87/3.89 (P3(f62(f58(a83,a80),f2(f57(f92(f57(f92(a80),a1)),a1))))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,2127,2160,2165,273,2109,274,601,2122,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747])). % 3.87/3.89 cnf(2170,plain, % 3.87/3.89 (P3(f62(f58(a83,x21701),x21701))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2173,plain, % 3.87/3.89 (P3(f62(f58(a83,x21731),x21731))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2176,plain, % 3.87/3.89 (~P3(f65(f66(a87,x21761),x21761))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2178,plain, % 3.87/3.89 (E(x21781,f67(f94(f67(f75(x21781),x21781)),x21781))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,601,2122,2154,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951])). % 3.87/3.89 cnf(2181,plain, % 3.87/3.89 (P3(f65(f66(a14,x21811),x21811))), % 3.87/3.89 inference(rename_variables,[],[276])). % 3.87/3.89 cnf(2183,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f75(f67(f94(x21831),x21832)),x21831)),x21832))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,276,601,2122,2154,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960])). % 3.87/3.89 cnf(2184,plain, % 3.87/3.89 (P3(f65(f66(a85,x21841),x21841))), % 3.87/3.89 inference(rename_variables,[],[274])). % 3.87/3.89 cnf(2186,plain, % 3.87/3.89 (E(x21861,f67(f94(f67(f104(f67(f75(x21862),x21862)),x21863)),x21861))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,601,2122,2154,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987])). % 3.87/3.89 cnf(2188,plain, % 3.87/3.89 (E(f67(f94(f67(f104(f67(f75(x21881),x21881)),x21882)),x21883),x21883)), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,296,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,601,2122,2154,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988])). % 3.87/3.89 cnf(2196,plain, % 3.87/3.89 (E(f43(f67(f104(a81),x21961),a81),x21961)), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,170,585,194,296,297,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,601,2122,2154,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752])). % 3.87/3.89 cnf(2198,plain, % 3.87/3.89 (E(f79(a4),f79(a1))), % 3.87/3.89 inference(scs_inference,[],[617,1942,1945,1969,1968,184,1917,170,585,194,296,297,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,601,2122,2154,263,281,593,596,260,595,249,256,258,592,322,2138,318,2132,325,2148,396,609,2099,493,523,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862])). % 3.87/3.89 cnf(2211,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f75(x22111),x22112)),x22111))), % 3.87/3.89 inference(rename_variables,[],[395])). % 3.87/3.89 cnf(2212,plain, % 3.87/3.89 (P3(f65(f66(a85,a109),x22121))), % 3.87/3.89 inference(rename_variables,[],[263])). % 3.87/3.89 cnf(2215,plain, % 3.87/3.89 (P3(f65(f66(a14,a81),x22151))), % 3.87/3.89 inference(rename_variables,[],[265])). % 3.87/3.89 cnf(2220,plain, % 3.87/3.89 (P1(f57(f103(f102(f98(x22201,x22202))),f102(f98(x22203,x22204))))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1945,1961,1969,1916,1968,184,1917,170,585,183,194,296,297,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,601,2122,2154,263,265,281,593,596,260,595,249,256,258,592,489,322,2138,318,2132,325,2148,395,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153])). % 3.87/3.89 cnf(2224,plain, % 3.87/3.89 (P2(f67(f94(f67(f104(f67(f75(x22241),x22241)),x22242)),f65(x22243,x22244)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1945,1961,1969,1916,1968,184,1917,170,585,183,235,283,194,296,297,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,601,2122,2154,263,265,281,593,596,260,595,249,256,258,592,489,322,2138,318,2132,325,2148,395,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158])). % 3.87/3.89 cnf(2226,plain, % 3.87/3.89 (E(f57(f7(x22261),x22261),a89)), % 3.87/3.89 inference(rename_variables,[],[229])). % 3.87/3.89 cnf(2229,plain, % 3.87/3.89 (E(f57(f7(x22291),x22291),a89)), % 3.87/3.89 inference(rename_variables,[],[229])). % 3.87/3.89 cnf(2232,plain, % 3.87/3.89 (E(f57(f7(x22321),x22321),a89)), % 3.87/3.89 inference(rename_variables,[],[229])). % 3.87/3.89 cnf(2240,plain, % 3.87/3.89 (~P3(f65(f66(a87,x22401),x22401))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2241,plain, % 3.87/3.89 (E(f67(f13(f67(f104(x22411),x22412)),x22411),a109)), % 3.87/3.89 inference(rename_variables,[],[1917])). % 3.87/3.89 cnf(2244,plain, % 3.87/3.89 (P3(f65(f66(a85,a109),x22441))), % 3.87/3.89 inference(rename_variables,[],[263])). % 3.87/3.89 cnf(2250,plain, % 3.87/3.89 (P3(f65(f66(a14,f67(f13(x22501),f67(f13(f67(f104(x22502),x22503)),x22502))),x22501))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,283,224,229,2226,2229,2232,194,296,297,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,2181,601,2122,2154,2176,263,2212,265,281,593,596,260,595,249,256,258,592,489,322,2138,2141,318,2132,325,2148,504,395,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936])). % 3.87/3.89 cnf(2251,plain, % 3.87/3.89 (P3(f65(f66(a14,x22511),x22511))), % 3.87/3.89 inference(rename_variables,[],[276])). % 3.87/3.89 cnf(2258,plain, % 3.87/3.89 (P3(f65(f66(a85,x22581),x22581))), % 3.87/3.89 inference(rename_variables,[],[274])). % 3.87/3.89 cnf(2261,plain, % 3.87/3.89 (P3(f62(f107(x22611,x22611),x22612))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2263,plain, % 3.87/3.89 (~E(f67(f94(a109),x22631),f67(f94(x22631),f67(f96(x22632),a109)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,297,606,2007,272,2021,2062,2075,2114,2127,2160,2165,2170,273,2109,274,2157,2184,276,2181,601,2122,2154,2176,2240,263,2212,265,281,593,596,260,595,249,256,258,592,489,322,2138,2141,318,2132,325,2148,504,395,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040])). % 3.87/3.89 cnf(2266,plain, % 3.87/3.89 (P3(f62(f58(a83,x22661),x22661))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2269,plain, % 3.87/3.89 (P3(f62(f107(x22691,a89),x22691))), % 3.87/3.89 inference(rename_variables,[],[271])). % 3.87/3.89 cnf(2274,plain, % 3.87/3.89 (~P3(f62(f58(a84,a89),f57(f76(x22741),x22741)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,274,2157,2184,276,2181,601,2122,2154,2176,2240,263,2212,265,2215,281,593,596,260,595,249,256,258,592,489,322,2138,2141,318,2132,325,2148,504,395,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114])). % 3.87/3.89 cnf(2275,plain, % 3.87/3.89 (P3(f62(f58(a12,x22751),f57(f76(x22752),x22752)))), % 3.87/3.89 inference(rename_variables,[],[1959])). % 3.87/3.89 cnf(2277,plain, % 3.87/3.89 (E(f67(f94(a109),f24(f66(a87,f67(f75(x22771),a109)),x22771,a109)),x22771)), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,274,2157,2184,276,2181,601,2122,2154,2176,2240,263,2212,265,2215,281,593,596,260,595,599,249,256,258,592,489,322,2138,2141,318,2132,325,2148,504,395,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120])). % 3.87/3.89 cnf(2278,plain, % 3.87/3.89 (~P3(f65(f66(a87,x22781),x22781))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2281,plain, % 3.87/3.89 (~P3(f65(f66(a87,x22811),x22811))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2283,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f75(f67(f75(a109),f67(f96(x22831),a109))),x22832)),a109))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,274,2157,2184,276,2181,601,2122,2154,2176,2240,2278,263,2212,265,2215,281,593,596,260,595,599,249,256,258,592,489,322,2138,2141,318,2132,325,2148,504,395,2211,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125])). % 3.87/3.89 cnf(2286,plain, % 3.87/3.89 (P3(f62(f58(a12,x22861),f57(f103(x22862),f57(f76(x22863),x22863))))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,274,2157,2184,276,2181,601,2122,2154,2176,2240,2278,263,2212,265,2215,281,593,596,260,595,599,249,256,258,592,489,322,2138,2141,318,2132,2135,325,2148,504,395,2211,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128])). % 3.87/3.89 cnf(2293,plain, % 3.87/3.89 (P3(f62(f58(a12,x22931),f57(f76(x22932),x22932)))), % 3.87/3.89 inference(rename_variables,[],[1959])). % 3.87/3.89 cnf(2310,plain, % 3.87/3.89 (P3(f62(f107(x23101,x23101),x23102))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2312,plain, % 3.87/3.89 (P3(f62(f58(a12,f57(f76(x23121),f57(f76(x23122),x23122))),x23121))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,2261,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,274,2157,2184,2258,276,2181,601,2122,2154,2176,2240,2278,263,2212,265,2215,281,593,596,260,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324])). % 3.87/3.89 cnf(2313,plain, % 3.87/3.89 (P3(f62(f58(a12,x23131),x23131))), % 3.87/3.89 inference(rename_variables,[],[273])). % 3.87/3.89 cnf(2314,plain, % 3.87/3.89 (P3(f62(f58(a12,x23141),f57(f76(x23142),x23142)))), % 3.87/3.89 inference(rename_variables,[],[1959])). % 3.87/3.89 cnf(2317,plain, % 3.87/3.89 (P3(f62(f58(a12,x23171),x23171))), % 3.87/3.89 inference(rename_variables,[],[273])). % 3.87/3.89 cnf(2318,plain, % 3.87/3.89 (P3(f62(f58(a12,x23181),f57(f76(x23182),x23182)))), % 3.87/3.89 inference(rename_variables,[],[1959])). % 3.87/3.89 cnf(2321,plain, % 3.87/3.89 (P3(f65(f66(a14,x23211),x23211))), % 3.87/3.89 inference(rename_variables,[],[276])). % 3.87/3.89 cnf(2327,plain, % 3.87/3.89 (~P3(f62(f58(a84,a89),a4))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,2261,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,274,2157,2184,2258,276,2181,2251,2321,601,2122,2154,2176,2240,2278,263,2212,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342])). % 3.87/3.89 cnf(2331,plain, % 3.87/3.89 (~P3(f65(f66(a87,x23311),x23311))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2333,plain, % 3.87/3.89 (~P3(f65(f66(a87,x23331),f67(f94(f67(f75(x23331),x23331)),x23331)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,2261,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,274,2157,2184,2258,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,263,2212,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495])). % 3.87/3.89 cnf(2336,plain, % 3.87/3.89 (~P3(f65(f66(a87,x23361),x23361))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2339,plain, % 3.87/3.89 (~P3(f65(f66(a87,x23391),x23391))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2341,plain, % 3.87/3.89 (P3(f65(f66(a85,x23411),f67(f75(f67(f94(x23411),a109)),a109)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,2261,297,606,2007,271,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,274,2157,2184,2258,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,263,2212,2244,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571])). % 3.87/3.89 cnf(2342,plain, % 3.87/3.89 (P3(f65(f66(a85,x23421),x23421))), % 3.87/3.89 inference(rename_variables,[],[274])). % 3.87/3.89 cnf(2343,plain, % 3.87/3.89 (P3(f65(f66(a85,a109),x23431))), % 3.87/3.89 inference(rename_variables,[],[263])). % 3.87/3.89 cnf(2345,plain, % 3.87/3.89 (P3(f62(f107(f57(f103(x23451),a89),f57(f103(x23451),x23452)),x23452))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,2261,2310,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,274,2157,2184,2258,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,263,2212,2244,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662])). % 3.87/3.89 cnf(2346,plain, % 3.87/3.89 (P3(f62(f107(x23461,x23461),x23462))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2348,plain, % 3.87/3.89 (P3(f62(f107(f57(f103(x23481),x23482),f57(f103(x23481),a89)),x23482))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,2261,2310,2346,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,274,2157,2184,2258,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,263,2212,2244,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663])). % 3.87/3.89 cnf(2349,plain, % 3.87/3.89 (P3(f62(f107(x23491,x23491),x23492))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2351,plain, % 3.87/3.89 (E(f67(f94(f67(f104(a81),f47(f66(a87,f67(f13(x23511),a81)),x23511,a81))),f46(f66(a87,f67(f13(x23511),a81)),x23511,a81)),x23511)), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,194,296,2028,2261,2310,2346,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,274,2157,2184,2258,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,263,2212,2244,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664])). % 3.87/3.89 cnf(2352,plain, % 3.87/3.89 (~P3(f65(f66(a87,x23521),x23521))), % 3.87/3.89 inference(rename_variables,[],[601])). % 3.87/3.89 cnf(2356,plain, % 3.87/3.89 (E(f67(f94(f67(f104(x23561),x23562)),f67(f104(f67(f75(x23561),x23561)),x23563)),f67(f94(f67(f104(x23561),x23562)),f67(f104(f67(f75(x23561),x23561)),f67(f94(x23562),x23563))))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,387,194,296,2028,2261,2310,2346,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,274,2157,2184,2258,2342,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,263,2212,2244,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725])). % 3.87/3.89 cnf(2363,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f104(x23631),f67(f96(x23632),a109))),x23631))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,387,194,296,2028,2261,2310,2346,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,2317,274,2157,2184,2258,2342,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,263,2212,2244,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802])). % 3.87/3.89 cnf(2366,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f94(f67(f104(x23661),x23662)),a109)),f67(f94(f67(f104(x23661),x23662)),x23663)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,585,183,235,242,283,224,229,2226,2229,2232,387,194,296,2028,2261,2310,2346,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,2317,274,2157,2184,2258,2342,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,263,2212,2244,2343,265,2215,281,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813])). % 3.87/3.89 cnf(2367,plain, % 3.87/3.89 (P3(f65(f66(a85,a109),x23671))), % 3.87/3.89 inference(rename_variables,[],[263])). % 3.87/3.89 cnf(2377,plain, % 3.87/3.89 (~E(a4,a89)), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,585,183,235,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,2317,274,2157,2184,2258,2342,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,263,2212,2244,2343,265,2215,281,2033,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709])). % 3.87/3.89 cnf(2380,plain, % 3.87/3.89 (P3(f62(f58(a83,a4),a89))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,585,183,235,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,2317,274,2157,2184,2258,2342,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,263,2212,2244,2343,265,2215,281,2033,593,596,260,269,595,599,249,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939])). % 3.87/3.89 cnf(2383,plain, % 3.87/3.89 (P3(f62(f107(x23831,x23831),x23832))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2389,plain, % 3.87/3.89 (~P3(f65(f66(a87,a109),f23(f67(f96(x23891),a109),f66(a87,a109))))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,585,183,235,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,297,606,2007,271,2269,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,2317,274,2157,2184,2258,2342,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,265,2215,281,2033,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136])). % 3.87/3.89 cnf(2390,plain, % 3.87/3.89 (P3(f65(f66(a85,x23901),x23901))), % 3.87/3.89 inference(rename_variables,[],[274])). % 3.87/3.89 cnf(2394,plain, % 3.87/3.89 (P3(f62(f107(x23941,x23941),x23942))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2397,plain, % 3.87/3.89 (P3(f62(f107(x23971,x23971),x23972))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2398,plain, % 3.87/3.89 (P3(f62(f107(x23981,a89),x23981))), % 3.87/3.89 inference(rename_variables,[],[271])). % 3.87/3.89 cnf(2401,plain, % 3.87/3.89 (P3(f62(f107(x24011,x24011),x24012))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2407,plain, % 3.87/3.89 (P3(f65(f66(a85,a109),x24071))), % 3.87/3.89 inference(rename_variables,[],[263])). % 3.87/3.89 cnf(2408,plain, % 3.87/3.89 (P3(f65(f66(a85,x24081),x24081))), % 3.87/3.89 inference(rename_variables,[],[274])). % 3.87/3.89 cnf(2411,plain, % 3.87/3.89 (P3(f65(f66(a85,x24111),x24111))), % 3.87/3.89 inference(rename_variables,[],[274])). % 3.87/3.89 cnf(2413,plain, % 3.87/3.89 (~P3(f62(f58(a83,a100),a80))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,581,585,183,235,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,265,2215,281,2033,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017])). % 3.87/3.89 cnf(2426,plain, % 3.87/3.89 (P3(f62(f107(x24261,x24261),x24262))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2427,plain, % 3.87/3.89 (P3(f62(f58(a83,x24271),x24271))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2430,plain, % 3.87/3.89 (P3(f62(f58(a83,x24301),x24301))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2433,plain, % 3.87/3.89 (P3(f62(f58(a83,x24331),x24331))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2436,plain, % 3.87/3.89 (P3(f62(f58(a83,x24361),x24361))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2439,plain, % 3.87/3.89 (P3(f62(f58(a83,x24391),x24391))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2440,plain, % 3.87/3.89 (E(f57(f92(x24401),x24402),f57(f92(x24402),x24401))), % 3.87/3.89 inference(rename_variables,[],[238])). % 3.87/3.89 cnf(2443,plain, % 3.87/3.89 (P3(f62(f58(a83,x24431),x24431))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2444,plain, % 3.87/3.89 (E(f57(f92(x24441),x24442),f57(f92(x24442),x24441))), % 3.87/3.89 inference(rename_variables,[],[238])). % 3.87/3.89 cnf(2446,plain, % 3.87/3.89 (~P4(f58(a84,a1),f57(f92(a89),f57(f103(a4),a80)),a4)), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574])). % 3.87/3.89 cnf(2447,plain, % 3.87/3.89 (P3(f62(f58(a83,x24471),x24471))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2477,plain, % 3.87/3.89 (~P3(f74(f57(f76(a80),a89),f11(x24771)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574,748,779,825,14,681,682,694,761,768,789,797,805,810,818,831])). % 3.87/3.89 cnf(2485,plain, % 3.87/3.89 (P3(f62(f58(a84,a89),f2(f57(f92(f57(f92(f57(f92(a80),a1)),a1)),f57(f92(f57(f92(a80),a1)),a1)))))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574,748,779,825,14,681,682,694,761,768,789,797,805,810,818,831,854,856,903,905])). % 3.87/3.89 cnf(2491,plain, % 3.87/3.89 (~P3(f62(f107(a89,a80),f57(f92(a80),a80)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574,748,779,825,14,681,682,694,761,768,789,797,805,810,818,831,854,856,903,905,914,920,942])). % 3.87/3.89 cnf(2495,plain, % 3.87/3.89 (P3(f70(f71(a88,f3(a4)),f3(a1)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574,748,779,825,14,681,682,694,761,768,789,797,805,810,818,831,854,856,903,905,914,920,942,958,960])). % 3.87/3.89 cnf(2499,plain, % 3.87/3.89 (~P3(f65(f66(a87,a109),f67(f13(f67(f104(a81),x24991)),a81)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574,748,779,825,14,681,682,694,761,768,789,797,805,810,818,831,854,856,903,905,914,920,942,958,960,1045,1151])). % 3.87/3.89 cnf(2502,plain, % 3.87/3.89 (P4(f107(a89,a89),f32(a89,a80),f57(f76(a80),a80))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574,748,779,825,14,681,682,694,761,768,789,797,805,810,818,831,854,856,903,905,914,920,942,958,960,1045,1151,155,156])). % 3.87/3.89 cnf(2519,plain, % 3.87/3.89 (~E(f57(f7(a80),f57(f92(a80),a80)),f57(f7(a89),f57(f92(a80),a80)))), % 3.87/3.89 inference(scs_inference,[],[617,2002,1942,1998,1959,2275,2293,2314,2318,1945,1961,1969,1916,1968,184,1917,2241,159,170,171,172,177,180,581,585,183,235,238,2440,2444,242,283,224,229,2226,2229,2232,591,387,194,296,2028,2261,2310,2346,2349,2383,2394,2397,2401,2426,297,606,2007,271,2269,2398,272,2021,2062,2075,2114,2127,2160,2165,2170,2173,2266,2427,2430,2433,2436,2439,2443,2447,273,2109,2119,2313,2317,274,2157,2184,2258,2342,2390,2408,2411,276,2181,2251,2321,601,2122,2154,2176,2240,2278,2281,2331,2336,2339,2352,263,2212,2244,2343,2367,2407,265,2215,281,2033,254,593,596,260,269,595,599,249,250,256,258,259,592,594,489,313,322,2138,2141,318,2132,2135,323,325,2148,314,504,420,395,2211,396,609,2099,2102,493,607,608,523,530,566,563,1881,2,824,9,10,11,690,767,769,811,815,816,819,828,829,836,838,839,845,858,859,867,870,877,878,892,893,895,898,907,910,930,931,933,956,967,973,981,982,989,1007,1008,1010,1011,1012,1046,1055,1056,1068,1069,1076,1095,1112,1123,1134,1172,1178,1263,1283,1313,1314,1317,1318,1320,1321,1322,1323,1371,1400,1639,1640,1641,1642,1747,1749,1949,1951,1958,1960,1987,1988,747,750,752,862,863,885,926,929,990,1000,1001,3,153,154,158,757,758,783,784,813,869,883,884,936,965,970,972,1005,1040,1066,1078,1098,1114,1120,1121,1125,1128,1131,1171,1173,1174,1205,1207,1211,1242,1252,1324,1325,1326,1329,1342,1380,1495,1532,1533,1571,1662,1663,1664,1724,1725,1795,1802,1813,1816,1859,832,709,939,983,1039,1044,1136,1399,1522,1529,1531,1678,1980,1017,1243,873,874,1892,1381,1981,1984,1985,1385,1556,1574,748,779,825,14,681,682,694,761,768,789,797,805,810,818,831,854,856,903,905,914,920,942,958,960,1045,1151,155,156,157,1168,900,985,986,1230,1665,846])). % 3.87/3.89 cnf(2534,plain, % 3.87/3.89 (~P3(f62(f58(a84,a80),a100))), % 3.87/3.89 inference(scs_inference,[],[617,1882])). % 3.87/3.89 cnf(2536,plain, % 3.87/3.89 (~P3(f62(f58(a83,f57(f92(x25361),a80)),x25361))), % 3.87/3.89 inference(rename_variables,[],[2096])). % 3.87/3.89 cnf(2539,plain, % 3.87/3.89 (~P3(f62(f58(a83,f57(f92(x25391),a80)),x25391))), % 3.87/3.89 inference(rename_variables,[],[2096])). % 3.87/3.89 cnf(2542,plain, % 3.87/3.89 (P3(f62(f58(a84,f57(f76(x25421),a80)),x25421))), % 3.87/3.89 inference(rename_variables,[],[2113])). % 3.87/3.89 cnf(2545,plain, % 3.87/3.89 (~P3(f62(f58(a84,x25451),x25451))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2548,plain, % 3.87/3.89 (~P3(f62(f58(a84,x25481),x25481))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2551,plain, % 3.87/3.89 (~P3(f62(f58(a84,x25511),x25511))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2554,plain, % 3.87/3.89 (~P3(f62(f58(a84,x25541),x25541))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2557,plain, % 3.87/3.89 (~P3(f65(f66(a87,x25571),f67(f75(f67(f94(x25571),x25572)),x25572)))), % 3.87/3.89 inference(rename_variables,[],[2153])). % 3.87/3.89 cnf(2567,plain, % 3.87/3.89 (~P3(f70(f71(a86,f3(a100)),f3(a80)))), % 3.87/3.89 inference(scs_inference,[],[2413,320,2079,2545,2548,2551,2153,2096,2536,2113,2084,2495,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008])). % 3.87/3.89 cnf(2570,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x25701),x25702)),x25701))), % 3.87/3.89 inference(rename_variables,[],[610])). % 3.87/3.89 cnf(2576,plain, % 3.87/3.89 (E(f67(f94(f79(f57(f76(a1),a80))),f79(x25761)),f79(x25761))), % 3.87/3.89 inference(scs_inference,[],[2413,320,610,2079,2545,2548,2551,2153,2096,2536,2113,2542,2084,2495,2017,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870])). % 3.87/3.89 cnf(2577,plain, % 3.87/3.89 (P3(f62(f58(a84,f57(f76(x25771),a80)),x25771))), % 3.87/3.89 inference(rename_variables,[],[2113])). % 3.87/3.89 cnf(2579,plain, % 3.87/3.89 (P3(f70(f71(a88,f3(a80)),f3(a100)))), % 3.87/3.89 inference(scs_inference,[],[2413,320,610,2079,2545,2548,2551,2153,2096,2536,2113,2542,2084,2495,2017,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960])). % 3.87/3.89 cnf(2587,plain, % 3.87/3.89 (E(f67(f94(x25871),f20(x25871,x25871)),x25871)), % 3.87/3.89 inference(rename_variables,[],[2049])). % 3.87/3.89 cnf(2590,plain, % 3.87/3.89 (P3(f65(f66(a85,x25901),f67(f94(x25902),x25901)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2592,plain, % 3.87/3.89 (P3(f70(f71(a15,x25921),f68(f105(x25922),f68(f105(x25923),f68(f105(x25924),x25921)))))), % 3.87/3.89 inference(scs_inference,[],[2413,320,610,2570,2049,2079,2545,2548,2551,2147,2150,2153,2096,2536,2113,2542,2084,2495,2017,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322])). % 3.87/3.89 cnf(2593,plain, % 3.87/3.89 (P3(f70(f71(a15,x25931),f68(f105(x25932),f68(f105(x25933),x25931))))), % 3.87/3.89 inference(rename_variables,[],[2147])). % 3.87/3.89 cnf(2595,plain, % 3.87/3.89 (E(f67(f94(x25951),x25952),f67(f94(f67(f75(f67(f94(x25951),x25952)),x25952)),x25952))), % 3.87/3.89 inference(scs_inference,[],[2413,320,2590,610,2570,2049,2079,2545,2548,2551,2147,2150,2153,2096,2536,2113,2542,2084,2495,2017,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951])). % 3.87/3.89 cnf(2598,plain, % 3.87/3.89 (P3(f62(f107(x25981,x25982),f57(f76(x25981),x25982)))), % 3.87/3.89 inference(rename_variables,[],[2118])). % 3.87/3.89 cnf(2602,plain, % 3.87/3.89 (~P3(f62(f58(a84,f57(f92(f57(f76(x26021),a80)),a80)),x26021))), % 3.87/3.89 inference(scs_inference,[],[2413,320,2590,610,2570,2049,2118,2079,2545,2548,2551,2147,2150,2153,2096,2536,2539,2113,2542,2084,2495,2017,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045])). % 3.87/3.89 cnf(2603,plain, % 3.87/3.89 (~P3(f62(f58(a83,f57(f92(x26031),a80)),x26031))), % 3.87/3.89 inference(rename_variables,[],[2096])). % 3.87/3.89 cnf(2606,plain, % 3.87/3.89 (~P3(f62(f58(a84,x26061),x26061))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2610,plain, % 3.87/3.89 (P3(f65(f66(a14,x26101),f67(f104(f67(f104(x26102),x26101)),x26103)))), % 3.87/3.89 inference(scs_inference,[],[2413,320,2590,324,610,2570,2049,2118,2079,2545,2548,2551,2554,2147,2150,2153,2096,2536,2539,2113,2542,2084,2495,2017,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320])). % 3.87/3.89 cnf(2611,plain, % 3.87/3.89 (P3(f65(f66(a14,x26111),f67(f104(x26111),x26112)))), % 3.87/3.89 inference(rename_variables,[],[324])). % 3.87/3.89 cnf(2627,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f75(f67(f94(x26271),x26272)),x26271)),x26272))), % 3.87/3.89 inference(rename_variables,[],[2183])). % 3.87/3.89 cnf(2632,plain, % 3.87/3.89 (P3(f62(f58(a12,a80),x26321))), % 3.87/3.89 inference(rename_variables,[],[261])). % 3.87/3.89 cnf(2635,plain, % 3.87/3.89 (P3(f62(f58(a12,x26351),f57(f103(x26352),f57(f103(x26353),x26351))))), % 3.87/3.89 inference(rename_variables,[],[2131])). % 3.87/3.89 cnf(2637,plain, % 3.87/3.89 (~P3(f65(f66(a87,x26371),f67(f75(f67(f75(x26371),x26372)),x26373)))), % 3.87/3.89 inference(scs_inference,[],[2413,261,320,2590,324,610,2570,2049,2587,2118,2188,2485,2477,2079,2545,2548,2551,2554,2121,2131,2147,2150,2153,2183,2096,2536,2539,2113,2542,2084,2495,2017,256,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172])). % 3.87/3.89 cnf(2638,plain, % 3.87/3.89 (~P3(f65(f66(a87,x26381),f67(f75(x26381),x26382)))), % 3.87/3.89 inference(rename_variables,[],[2121])). % 3.87/3.89 cnf(2641,plain, % 3.87/3.89 (P3(f65(f66(a14,x26411),f67(f104(x26411),x26412)))), % 3.87/3.89 inference(rename_variables,[],[324])). % 3.87/3.89 cnf(2648,plain, % 3.87/3.89 (P3(f65(f66(a85,x26481),f67(f94(x26482),x26481)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2651,plain, % 3.87/3.89 (P3(f62(f58(a84,f57(f76(x26511),a80)),x26511))), % 3.87/3.89 inference(rename_variables,[],[2113])). % 3.87/3.89 cnf(2655,plain, % 3.87/3.89 (P3(f65(f66(a87,a109),f41(a109,f41(a109,f67(f96(x26551),a109)))))), % 3.87/3.89 inference(scs_inference,[],[2413,261,320,2590,2648,324,2611,610,2570,2049,2587,2118,2356,2188,2485,2477,2079,2545,2548,2551,2554,2121,2131,2147,2150,2153,2183,2096,2536,2539,2113,2542,2577,2084,2495,2017,256,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989])). % 3.87/3.89 cnf(2658,plain, % 3.87/3.89 (P3(f62(f58(a84,x26581),f57(f92(x26581),a80)))), % 3.87/3.89 inference(rename_variables,[],[2126])). % 3.87/3.89 cnf(2661,plain, % 3.87/3.89 (P3(f62(f58(a84,x26611),f57(f92(x26611),a80)))), % 3.87/3.89 inference(rename_variables,[],[2126])). % 3.87/3.89 cnf(2666,plain, % 3.87/3.89 (~E(f67(f94(a109),x26661),f67(f94(x26661),f67(f96(x26662),a109)))), % 3.87/3.89 inference(rename_variables,[],[2263])). % 3.87/3.89 cnf(2668,plain, % 3.87/3.89 (P3(f70(f71(a15,x26681),f68(f105(x26682),f68(f105(x26683),x26681))))), % 3.87/3.89 inference(rename_variables,[],[2147])). % 3.87/3.89 cnf(2681,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x26811),f67(f94(x26812),x26813))),x26813))), % 3.87/3.89 inference(rename_variables,[],[2098])). % 3.87/3.89 cnf(2686,plain, % 3.87/3.89 (~P3(f65(f66(a87,x26861),f67(f75(x26861),x26862)))), % 3.87/3.89 inference(rename_variables,[],[2121])). % 3.87/3.89 cnf(2690,plain, % 3.87/3.89 (~P3(f62(f58(a83,f57(f92(f57(f76(f57(f92(x26901),a80)),a80)),a80)),x26901))), % 3.87/3.89 inference(scs_inference,[],[2413,261,320,2590,2648,324,2611,610,2570,611,2049,2587,2118,2356,2188,2485,2477,2079,2545,2548,2551,2554,2121,2638,2131,2147,2593,2150,2153,2098,2183,2096,2536,2539,2113,2542,2577,2084,2263,2126,2658,2495,2088,2380,2017,256,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046])). % 3.87/3.89 cnf(2694,plain, % 3.87/3.89 (P3(f62(f58(a84,a89),f2(f57(f92(f57(f92(a80),a1)),a1))))), % 3.87/3.89 inference(scs_inference,[],[2413,261,320,2590,2648,324,2611,610,2570,611,2049,2587,2118,2356,2188,2485,2169,2477,2079,2545,2548,2551,2554,2121,2638,2131,2147,2593,2150,2153,2098,2183,2096,2536,2539,2113,2542,2577,2084,2263,2126,2658,2491,2495,2088,2380,2017,256,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895])). % 3.87/3.89 cnf(2696,plain, % 3.87/3.89 (P3(f62(f107(x26961,x26962),f57(f76(f57(f76(x26961),x26962)),f57(f76(x26963),x26963))))), % 3.87/3.89 inference(scs_inference,[],[2413,261,320,2590,2648,324,2611,610,2570,611,2049,2587,2118,2356,2188,2485,2169,2477,2079,2545,2548,2551,2554,2121,2638,2131,2147,2593,2150,2153,2312,2098,2183,2096,2536,2539,2113,2542,2577,2084,2263,2126,2658,2491,2495,2088,2380,2017,256,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134])). % 3.87/3.89 cnf(2706,plain, % 3.87/3.89 (P3(f65(f66(a14,f67(f13(x27061),f67(f13(f67(f104(x27062),x27063)),x27062))),x27061))), % 3.87/3.89 inference(rename_variables,[],[2250])). % 3.87/3.89 cnf(2709,plain, % 3.87/3.89 (P3(f62(f58(a12,x27091),f57(f103(x27092),f57(f103(x27093),x27091))))), % 3.87/3.89 inference(rename_variables,[],[2131])). % 3.87/3.89 cnf(2718,plain, % 3.87/3.89 (P3(f65(f66(a14,f67(f13(x27181),f67(f13(f67(f104(x27182),x27183)),x27182))),x27181))), % 3.87/3.89 inference(rename_variables,[],[2250])). % 3.87/3.89 cnf(2720,plain, % 3.87/3.89 (P3(f62(f58(a83,x27201),f57(f92(x27201),a80)))), % 3.87/3.89 inference(scs_inference,[],[2413,261,320,2590,2648,324,2611,610,2570,611,523,2049,2587,2118,2356,2188,2485,2169,2477,2079,2545,2548,2551,2554,2121,2638,2131,2635,2147,2593,2150,2153,2312,2098,2183,2250,2706,2096,2536,2539,2603,2113,2542,2577,2084,2263,2126,2658,2491,2495,2088,2380,2283,2017,256,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134,920,811,981,810,1313,824,1068,845,1960,854])). % 3.87/3.89 cnf(2723,plain, % 3.87/3.89 (P3(f62(f107(x27231,x27232),f57(f76(x27231),x27232)))), % 3.87/3.89 inference(rename_variables,[],[2118])). % 3.87/3.89 cnf(2726,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x27261),x27262)),x27261))), % 3.87/3.89 inference(rename_variables,[],[610])). % 3.87/3.89 cnf(2731,plain, % 3.87/3.89 (P3(f62(f58(a84,x27311),f57(f92(x27311),a80)))), % 3.87/3.89 inference(rename_variables,[],[2126])). % 3.87/3.89 cnf(2734,plain, % 3.87/3.89 (P3(f65(f66(a85,x27341),f67(f94(x27342),x27341)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2745,plain, % 3.87/3.89 (P3(f65(f66(a85,x27451),f67(f94(x27451),x27452)))), % 3.87/3.89 inference(rename_variables,[],[321])). % 3.87/3.89 cnf(2755,plain, % 3.87/3.89 (P3(f62(f107(x27551,x27552),f57(f76(x27551),x27552)))), % 3.87/3.89 inference(rename_variables,[],[2118])). % 3.87/3.89 cnf(2758,plain, % 3.87/3.89 (~P3(f62(f58(a84,x27581),x27581))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2761,plain, % 3.87/3.89 (P3(f65(f66(a14,x27611),f67(f104(a109),x27612)))), % 3.87/3.89 inference(rename_variables,[],[2143])). % 3.87/3.89 cnf(2762,plain, % 3.87/3.89 (~E(f57(f92(a80),x27621),x27621)), % 3.87/3.89 inference(rename_variables,[],[2010])). % 3.87/3.89 cnf(2766,plain, % 3.87/3.89 (~E(f57(f92(a80),x27661),x27661)), % 3.87/3.89 inference(rename_variables,[],[2010])). % 3.87/3.89 cnf(2769,plain, % 3.87/3.89 (~E(f57(f92(a80),x27691),x27691)), % 3.87/3.89 inference(rename_variables,[],[2010])). % 3.87/3.89 cnf(2777,plain, % 3.87/3.89 (P3(f62(f58(a84,f57(f76(x27771),a80)),x27771))), % 3.87/3.89 inference(rename_variables,[],[2113])). % 3.87/3.89 cnf(2780,plain, % 3.87/3.89 (P3(f62(f58(a83,x27801),x27801))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(2783,plain, % 3.87/3.89 (~E(f57(f92(a80),x27831),x27831)), % 3.87/3.89 inference(rename_variables,[],[2010])). % 3.87/3.89 cnf(2786,plain, % 3.87/3.89 (~P3(f62(f58(a84,x27861),x27861))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2787,plain, % 3.87/3.89 (P3(f62(f58(a84,f57(f76(x27871),a80)),x27871))), % 3.87/3.89 inference(rename_variables,[],[2113])). % 3.87/3.89 cnf(2790,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x27901),x27902)),x27901))), % 3.87/3.89 inference(rename_variables,[],[610])). % 3.87/3.89 cnf(2791,plain, % 3.87/3.89 (E(f43(f67(f104(a81),x27911),a81),x27911)), % 3.87/3.89 inference(rename_variables,[],[2196])). % 3.87/3.89 cnf(2794,plain, % 3.87/3.89 (E(f57(f7(x27941),a80),a89)), % 3.87/3.89 inference(rename_variables,[],[2032])). % 3.87/3.89 cnf(2797,plain, % 3.87/3.89 (P3(f62(f58(a12,x27971),x27971))), % 3.87/3.89 inference(rename_variables,[],[273])). % 3.87/3.89 cnf(2798,plain, % 3.87/3.89 (P3(f62(f58(a12,x27981),f57(f103(x27982),f57(f76(x27983),x27983))))), % 3.87/3.89 inference(rename_variables,[],[2286])). % 3.87/3.89 cnf(2801,plain, % 3.87/3.89 (P3(f62(f58(a12,x28011),x28011))), % 3.87/3.89 inference(rename_variables,[],[273])). % 3.87/3.89 cnf(2802,plain, % 3.87/3.89 (P3(f62(f58(a12,x28021),f57(f103(x28022),f57(f76(x28023),x28023))))), % 3.87/3.89 inference(rename_variables,[],[2286])). % 3.87/3.89 cnf(2805,plain, % 3.87/3.89 (P3(f65(f66(a14,x28051),f67(f104(x28051),x28052)))), % 3.87/3.89 inference(rename_variables,[],[324])). % 3.87/3.89 cnf(2806,plain, % 3.87/3.89 (P3(f65(f66(a14,x28061),f67(f104(a109),x28062)))), % 3.87/3.89 inference(rename_variables,[],[2143])). % 3.87/3.89 cnf(2809,plain, % 3.87/3.89 (E(f43(f67(f104(a81),x28091),a81),x28091)), % 3.87/3.89 inference(rename_variables,[],[2196])). % 3.87/3.89 cnf(2812,plain, % 3.87/3.89 (P3(f62(f107(x28121,x28122),f57(f76(x28121),x28122)))), % 3.87/3.89 inference(rename_variables,[],[2118])). % 3.87/3.89 cnf(2816,plain, % 3.87/3.89 (~P3(f65(f66(a87,x28161),f67(f75(x28161),x28162)))), % 3.87/3.89 inference(rename_variables,[],[2121])). % 3.87/3.89 cnf(2819,plain, % 3.87/3.89 (~E(x28191,f57(f92(a80),x28191))), % 3.87/3.89 inference(rename_variables,[],[2008])). % 3.87/3.89 cnf(2827,plain, % 3.87/3.89 (P3(f62(f58(a84,f57(f76(x28271),a80)),x28271))), % 3.87/3.89 inference(rename_variables,[],[2113])). % 3.87/3.89 cnf(2833,plain, % 3.87/3.89 (E(f57(f7(x28331),a80),a89)), % 3.87/3.89 inference(rename_variables,[],[2032])). % 3.87/3.89 cnf(2836,plain, % 3.87/3.89 (~P3(f65(f66(a87,x28361),f67(f75(x28361),x28362)))), % 3.87/3.89 inference(rename_variables,[],[2121])). % 3.87/3.89 cnf(2839,plain, % 3.87/3.89 (E(f57(f7(x28391),a80),a89)), % 3.87/3.89 inference(rename_variables,[],[2032])). % 3.87/3.89 cnf(2849,plain, % 3.87/3.89 (P3(f65(f66(a85,x28491),f67(f94(x28492),x28491)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2850,plain, % 3.87/3.89 (P3(f65(f66(a85,x28501),f67(f94(x28501),x28502)))), % 3.87/3.89 inference(rename_variables,[],[321])). % 3.87/3.89 cnf(2856,plain, % 3.87/3.89 (P3(f62(f107(x28561,x28562),f57(f76(x28561),x28562)))), % 3.87/3.89 inference(rename_variables,[],[2118])). % 3.87/3.89 cnf(2859,plain, % 3.87/3.89 (P3(f65(f66(a85,x28591),f67(f94(x28592),x28591)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2863,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f75(f67(f94(x28631),x28632)),x28631)),x28632))), % 3.87/3.89 inference(rename_variables,[],[2183])). % 3.87/3.89 cnf(2864,plain, % 3.87/3.89 (E(f43(f67(f104(a81),x28641),a81),x28641)), % 3.87/3.89 inference(rename_variables,[],[2196])). % 3.87/3.89 cnf(2867,plain, % 3.87/3.89 (~P3(f65(f66(a87,x28671),f67(f75(x28671),x28672)))), % 3.87/3.89 inference(rename_variables,[],[2121])). % 3.87/3.89 cnf(2874,plain, % 3.87/3.89 (~E(f57(f92(a80),x28741),x28741)), % 3.87/3.89 inference(rename_variables,[],[2010])). % 3.87/3.89 cnf(2878,plain, % 3.87/3.89 (P3(f62(f58(a12,x28781),f57(f103(x28782),f57(f76(x28783),x28783))))), % 3.87/3.89 inference(rename_variables,[],[2286])). % 3.87/3.89 cnf(2881,plain, % 3.87/3.89 (P3(f62(f107(x28811,x28812),f57(f76(x28811),x28812)))), % 3.87/3.89 inference(rename_variables,[],[2118])). % 3.87/3.89 cnf(2884,plain, % 3.87/3.89 (~E(f57(f92(a80),x28841),x28841)), % 3.87/3.89 inference(rename_variables,[],[2010])). % 3.87/3.89 cnf(2886,plain, % 3.87/3.89 (P3(f65(f66(a14,f67(f13(x28861),f67(f13(f67(f104(x28862),x28863)),x28862))),x28861))), % 3.87/3.89 inference(rename_variables,[],[2250])). % 3.87/3.89 cnf(2887,plain, % 3.87/3.89 (P3(f65(f66(a14,x28871),f67(f104(a109),x28872)))), % 3.87/3.89 inference(rename_variables,[],[2143])). % 3.87/3.89 cnf(2893,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x28931),x28932)),x28931))), % 3.87/3.89 inference(rename_variables,[],[610])). % 3.87/3.89 cnf(2894,plain, % 3.87/3.89 (~E(f57(f92(a80),x28941),x28941)), % 3.87/3.89 inference(rename_variables,[],[2010])). % 3.87/3.89 cnf(2897,plain, % 3.87/3.89 (P3(f65(f66(a85,x28971),f67(f94(x28972),x28971)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2900,plain, % 3.87/3.89 (E(x29001,f67(f94(f67(f75(x29001),x29001)),x29001))), % 3.87/3.89 inference(rename_variables,[],[2178])). % 3.87/3.89 cnf(2901,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(f67(f104(f67(f94(x29011),x29012)),x29013)),x29014)),f67(f94(f67(f104(x29012),x29013)),f67(f104(f67(f75(f67(f94(x29011),x29012)),x29012)),x29013))))), % 3.87/3.89 inference(scs_inference,[],[2196,2791,2809,2413,2198,2220,2008,2819,2010,2762,2766,2769,2783,2874,2884,2502,261,320,2590,2648,2734,2849,2859,2897,324,2611,2641,610,2570,2726,2790,2893,321,2745,2850,611,523,595,258,2049,2587,2015,2118,2598,2723,2755,2812,2856,2178,2356,2188,2111,2485,2169,2389,2345,2348,2477,2079,2545,2548,2551,2554,2606,2758,2077,2121,2638,2686,2816,2836,2867,2131,2635,2147,2593,2668,2150,2286,2798,2802,2153,2557,2312,2098,2183,2627,2250,2706,2718,2363,2519,2096,2536,2539,2603,2113,2542,2577,2651,2777,2787,2084,2074,2263,2666,2143,2761,2806,2126,2658,2661,2145,2491,2495,2088,2380,2283,2017,2032,2794,2833,2839,326,272,273,2797,2801,256,607,263,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134,920,811,981,810,1313,824,1068,845,1960,854,828,1949,898,905,1400,877,1012,9,2,1127,1129,1133,1142,1161,1226,1374,1375,698,1101,1102,1343,1488,1527,970,869,783,1325,1795,1000,813,1662,1533,884,747,1173,1205,1495,758,1532,784,965,1114,926,1571,757,1005,883,936,1121,862,752,1324,1252,3,1326,1120,1380,1813,157,1816])). % 3.87/3.89 cnf(2902,plain, % 3.87/3.89 (~P3(f65(f66(a87,f67(f94(x29021),x29022)),x29021))), % 3.87/3.89 inference(rename_variables,[],[610])). % 3.87/3.89 cnf(2905,plain, % 3.87/3.89 (P3(f65(f66(a14,x29051),f67(f104(x29051),x29052)))), % 3.87/3.89 inference(rename_variables,[],[324])). % 3.87/3.89 cnf(2909,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f75(f67(f94(x29091),x29092)),x29091)),x29092))), % 3.87/3.89 inference(rename_variables,[],[2183])). % 3.87/3.89 cnf(2910,plain, % 3.87/3.89 (E(f43(f67(f104(a81),x29101),a81),x29101)), % 3.87/3.89 inference(rename_variables,[],[2196])). % 3.87/3.89 cnf(2920,plain, % 3.87/3.89 (~P3(f62(f58(a84,x29201),x29201))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2925,plain, % 3.87/3.89 (P3(f65(f66(a14,x29251),f67(f104(x29251),x29252)))), % 3.87/3.89 inference(rename_variables,[],[324])). % 3.87/3.89 cnf(2933,plain, % 3.87/3.89 (P3(f65(f66(a85,f67(f75(f67(f94(x29331),x29332)),x29331)),x29332))), % 3.87/3.89 inference(rename_variables,[],[2183])). % 3.87/3.89 cnf(2937,plain, % 3.87/3.89 (E(x29371,f67(f94(f67(f75(x29371),x29371)),x29371))), % 3.87/3.89 inference(rename_variables,[],[2178])). % 3.87/3.89 cnf(2939,plain, % 3.87/3.89 (P3(f62(f58(a84,x29391),f57(f92(x29391),a80)))), % 3.87/3.89 inference(rename_variables,[],[2126])). % 3.87/3.89 cnf(2944,plain, % 3.87/3.89 (~P3(f65(f66(a87,a109),f67(f104(f23(f67(f96(x29441),a109),f66(a87,a109))),x29442)))), % 3.87/3.89 inference(scs_inference,[],[2196,2791,2809,2864,2413,2198,2003,2224,2220,2008,2819,2010,2762,2766,2769,2783,2874,2884,2894,2502,261,320,2590,2648,2734,2849,2859,2897,324,2611,2641,2805,2905,2925,610,2570,2726,2790,2893,2902,321,2745,2850,611,523,595,1945,258,2049,2587,2015,2118,2598,2723,2755,2812,2856,2881,2178,2900,2356,2186,2188,2111,2485,2169,2389,2345,2348,2477,2079,2545,2548,2551,2554,2606,2758,2786,2077,2121,2638,2686,2816,2836,2867,2131,2635,2147,2593,2668,2150,2286,2798,2802,2878,2153,2557,2312,2098,2681,2183,2627,2863,2909,2250,2706,2718,2886,2363,2499,2519,2096,2536,2539,2603,2113,2542,2577,2651,2777,2787,2084,2074,2263,2666,2143,2761,2806,2126,2658,2661,2731,2145,2491,2341,2495,2088,2380,2283,2017,2032,2794,2833,2839,173,326,272,273,2797,2801,256,607,263,585,170,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134,920,811,981,810,1313,824,1068,845,1960,854,828,1949,898,905,1400,877,1012,9,2,1127,1129,1133,1142,1161,1226,1374,1375,698,1101,1102,1343,1488,1527,970,869,783,1325,1795,1000,813,1662,1533,884,747,1173,1205,1495,758,1532,784,965,1114,926,1571,757,1005,883,936,1121,862,752,1324,1252,3,1326,1120,1380,1813,157,1816,1329,972,1242,153,1663,817,158,1131,1802,1040,990,156,1174,1664,1098])). % 3.87/3.89 cnf(2948,plain, % 3.87/3.89 (E(f43(f67(f104(a81),x29481),a81),x29481)), % 3.87/3.89 inference(rename_variables,[],[2196])). % 3.87/3.89 cnf(2952,plain, % 3.87/3.89 (~P3(f62(f58(a84,x29521),x29521))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2955,plain, % 3.87/3.89 (~P3(f62(f58(a84,x29551),x29551))), % 3.87/3.89 inference(rename_variables,[],[2079])). % 3.87/3.89 cnf(2963,plain, % 3.87/3.89 (P3(f65(f66(a85,x29631),f67(f94(x29632),x29631)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2968,plain, % 3.87/3.89 (P3(f65(f66(a85,x29681),f67(f94(x29682),x29681)))), % 3.87/3.89 inference(rename_variables,[],[320])). % 3.87/3.89 cnf(2971,plain, % 3.87/3.89 (P3(f62(f58(a12,a80),x29711))), % 3.87/3.89 inference(rename_variables,[],[261])). % 3.87/3.89 cnf(2972,plain, % 3.87/3.89 (P3(f62(f58(a12,x29721),f57(f103(x29722),f57(f103(x29723),x29721))))), % 3.87/3.89 inference(rename_variables,[],[2131])). % 3.87/3.89 cnf(2975,plain, % 3.87/3.89 (P3(f62(f58(a12,a80),x29751))), % 3.87/3.89 inference(rename_variables,[],[261])). % 3.87/3.89 cnf(2980,plain, % 3.87/3.89 (P3(f62(f58(a83,a89),f32(x29801,a80)))), % 3.87/3.89 inference(rename_variables,[],[2077])). % 3.87/3.89 cnf(2985,plain, % 3.87/3.89 (P3(f62(f107(x29851,x29851),x29852))), % 3.87/3.89 inference(rename_variables,[],[296])). % 3.87/3.89 cnf(2989,plain, % 3.87/3.89 (P3(f62(f58(a12,a80),x29891))), % 3.87/3.89 inference(rename_variables,[],[261])). % 3.87/3.89 cnf(3020,plain, % 3.87/3.89 (~P3(f62(f58(a83,a80),a89))), % 3.87/3.89 inference(scs_inference,[],[2001,2196,2791,2809,2864,2910,2413,2198,2003,2224,2220,2008,2819,2010,2762,2766,2769,2783,2874,2884,2894,2502,2446,261,2632,2971,2975,2989,320,2590,2648,2734,2849,2859,2897,2963,2968,324,2611,2641,2805,2905,2925,610,2570,2726,2790,2893,2902,321,2745,2850,611,581,523,595,1945,258,2049,2587,2015,2118,2598,2723,2755,2812,2856,2881,2178,2900,2937,2356,2186,2188,2274,2111,2485,2169,2000,2389,2345,2348,2477,2079,2545,2548,2551,2554,2606,2758,2786,2920,2952,2955,2077,2980,2121,2638,2686,2816,2836,2867,2131,2635,2709,2972,2147,2593,2668,2150,2286,2798,2802,2878,2153,2557,2312,2098,2681,2183,2627,2863,2909,2933,2250,2706,2718,2886,2363,2499,2519,2096,2536,2539,2603,2113,2542,2577,2651,2777,2787,2827,2084,2074,2263,2666,2143,2761,2806,2887,2126,2658,2661,2731,2939,2145,2491,2341,2495,2088,2037,2057,2327,2380,2283,2017,2032,2794,2833,2839,173,176,2377,234,252,326,515,529,564,560,296,272,273,2797,2801,276,250,256,420,607,177,263,585,274,171,170,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134,920,811,981,810,1313,824,1068,845,1960,854,828,1949,898,905,1400,877,1012,9,2,1127,1129,1133,1142,1161,1226,1374,1375,698,1101,1102,1343,1488,1527,970,869,783,1325,1795,1000,813,1662,1533,884,747,1173,1205,1495,758,1532,784,965,1114,926,1571,757,1005,883,936,1121,862,752,1324,1252,3,1326,1120,1380,1813,157,1816,1329,972,1242,153,1663,817,158,1131,1802,1040,990,156,1174,1664,1098,154,155,937,1004,1376,1521,1109,1522,1529,1039,939,1168,983,1399,832,1665,1678,900,1230,985,986,949,873,874,1892,1017])). % 3.87/3.89 cnf(3024,plain, % 3.87/3.89 (P3(f62(f58(a83,x30241),x30241))), % 3.87/3.89 inference(rename_variables,[],[272])). % 3.87/3.89 cnf(3038,plain, % 3.87/3.89 (P3(f65(f66(a87,f79(a1)),f79(f57(f92(a1),a80))))), % 3.87/3.89 inference(scs_inference,[],[2001,2196,2791,2809,2864,2910,2948,2413,2198,2003,2224,2220,2008,2819,2010,2762,2766,2769,2783,2874,2884,2894,2502,2446,261,2632,2971,2975,2989,320,2590,2648,2734,2849,2859,2897,2963,2968,324,2611,2641,2805,2905,2925,610,2570,2726,2790,2893,2902,321,2745,2850,611,581,523,595,1945,258,2049,2587,2015,2118,2598,2723,2755,2812,2856,2881,2178,2900,2937,2356,2186,2188,2274,2111,2485,2169,2000,2389,2345,2348,2477,2079,2545,2548,2551,2554,2606,2758,2786,2920,2952,2955,2077,2980,2121,2638,2686,2816,2836,2867,2131,2635,2709,2972,2147,2593,2668,2150,2286,2798,2802,2878,2153,2557,2312,2098,2681,2183,2627,2863,2909,2933,2250,2706,2718,2886,2363,2499,2519,2096,2536,2539,2603,2113,2542,2577,2651,2777,2787,2827,2084,2074,2263,2666,2143,2761,2806,2887,2126,2658,2661,2731,2939,2145,2491,2341,2495,2088,2037,2057,2327,2380,2283,2017,2032,2794,2833,2839,173,176,2377,234,252,326,515,529,564,560,296,2985,272,2780,3024,273,2797,2801,276,250,256,420,607,177,263,585,274,171,170,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134,920,811,981,810,1313,824,1068,845,1960,854,828,1949,898,905,1400,877,1012,9,2,1127,1129,1133,1142,1161,1226,1374,1375,698,1101,1102,1343,1488,1527,970,869,783,1325,1795,1000,813,1662,1533,884,747,1173,1205,1495,758,1532,784,965,1114,926,1571,757,1005,883,936,1121,862,752,1324,1252,3,1326,1120,1380,1813,157,1816,1329,972,1242,153,1663,817,158,1131,1802,1040,990,156,1174,1664,1098,154,155,937,1004,1376,1521,1109,1522,1529,1039,939,1168,983,1399,832,1665,1678,900,1230,985,986,949,873,874,1892,1017,1381,1556,772,7,8,796,798,959])). % 3.87/3.89 cnf(3056,plain, % 3.87/3.89 (P3(f62(f58(a84,f2(a80)),f2(a100)))), % 3.87/3.89 inference(scs_inference,[],[2001,2196,2791,2809,2864,2910,2948,2413,2198,2003,2224,2220,2008,2819,2010,2762,2766,2769,2783,2874,2884,2894,2502,2446,261,2632,2971,2975,2989,320,2590,2648,2734,2849,2859,2897,2963,2968,324,2611,2641,2805,2905,2925,610,2570,2726,2790,2893,2902,321,2745,2850,611,581,523,595,1945,258,2049,2587,2015,2118,2598,2723,2755,2812,2856,2881,2178,2900,2937,2356,2186,2188,2274,2111,2485,2169,2000,2389,2345,2348,2477,2079,2545,2548,2551,2554,2606,2758,2786,2920,2952,2955,2077,2980,2121,2638,2686,2816,2836,2867,2131,2635,2709,2972,2147,2593,2668,2150,2286,2798,2802,2878,2153,2557,2312,2098,2681,2183,2627,2863,2909,2933,2250,2706,2718,2886,2363,2499,2519,2096,2536,2539,2603,2113,2542,2577,2651,2777,2787,2827,2084,2074,2263,2666,2143,2761,2806,2887,2126,2658,2661,2731,2939,2145,2491,2341,2495,2088,2037,2057,2327,2380,2283,2017,2032,2794,2833,2839,173,176,2377,234,252,326,515,529,564,560,296,2985,272,2780,3024,273,2797,2801,276,250,256,420,607,177,263,585,274,171,170,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134,920,811,981,810,1313,824,1068,845,1960,854,828,1949,898,905,1400,877,1012,9,2,1127,1129,1133,1142,1161,1226,1374,1375,698,1101,1102,1343,1488,1527,970,869,783,1325,1795,1000,813,1662,1533,884,747,1173,1205,1495,758,1532,784,965,1114,926,1571,757,1005,883,936,1121,862,752,1324,1252,3,1326,1120,1380,1813,157,1816,1329,972,1242,153,1663,817,158,1131,1802,1040,990,156,1174,1664,1098,154,155,937,1004,1376,1521,1109,1522,1529,1039,939,1168,983,1399,832,1665,1678,900,1230,985,986,949,873,874,1892,1017,1381,1556,772,7,8,796,798,959,1169,749,904,804,841,1284,1178,859,958])). % 3.87/3.89 cnf(3058,plain, % 3.87/3.89 (~P3(f62(f107(a80,a89),a100))), % 3.87/3.89 inference(scs_inference,[],[2001,2196,2791,2809,2864,2910,2948,2413,2198,2003,2224,2220,2008,2819,2010,2762,2766,2769,2783,2874,2884,2894,2502,2446,261,2632,2971,2975,2989,320,2590,2648,2734,2849,2859,2897,2963,2968,324,2611,2641,2805,2905,2925,610,2570,2726,2790,2893,2902,321,2745,2850,611,581,523,595,1945,258,2049,2587,2015,2118,2598,2723,2755,2812,2856,2881,2178,2900,2937,2356,2186,2188,2274,2111,2485,2169,2000,2389,2345,2348,2477,2079,2545,2548,2551,2554,2606,2758,2786,2920,2952,2955,2077,2980,2121,2638,2686,2816,2836,2867,2131,2635,2709,2972,2147,2593,2668,2150,2286,2798,2802,2878,2153,2557,2312,2098,2681,2183,2627,2863,2909,2933,2250,2706,2718,2886,2363,2499,2519,2096,2536,2539,2603,2113,2542,2577,2651,2777,2787,2827,2084,2074,2263,2666,2143,2761,2806,2887,2126,2658,2661,2731,2939,2145,2491,2341,2495,2088,2037,2057,2327,2380,2283,2017,2032,2794,2833,2839,173,176,2377,234,252,326,515,529,564,560,296,2985,272,2780,3024,273,2797,2801,276,250,256,420,607,177,263,585,274,171,170,782,881,1110,1417,1418,1688,1689,1047,825,956,819,893,1008,1056,769,838,870,960,805,829,681,1318,1322,1951,836,767,1045,831,816,1320,839,910,682,768,967,1123,1958,694,1076,1314,1172,1321,1069,748,1317,858,982,989,973,867,1007,14,1323,1011,779,856,878,815,1055,1010,1371,892,1046,846,895,1134,920,811,981,810,1313,824,1068,845,1960,854,828,1949,898,905,1400,877,1012,9,2,1127,1129,1133,1142,1161,1226,1374,1375,698,1101,1102,1343,1488,1527,970,869,783,1325,1795,1000,813,1662,1533,884,747,1173,1205,1495,758,1532,784,965,1114,926,1571,757,1005,883,936,1121,862,752,1324,1252,3,1326,1120,1380,1813,157,1816,1329,972,1242,153,1663,817,158,1131,1802,1040,990,156,1174,1664,1098,154,155,937,1004,1376,1521,1109,1522,1529,1039,939,1168,983,1399,832,1665,1678,900,1230,985,986,949,873,874,1892,1017,1381,1556,772,7,8,796,798,959,1169,749,904,804,841,1284,1178,859,958,914])). % 3.87/3.89 cnf(3167,plain, % 3.87/3.89 (P3(f62(f58(a83,x31671),f57(f92(x31671),a80)))), % 3.87/3.89 inference(rename_variables,[],[2720])). % 3.87/3.89 cnf(3181,plain, % 3.87/3.89 ($false), % 3.87/3.89 inference(scs_inference,[],[3020,2534,2134,2101,323,2366,321,2696,2595,2694,2576,2944,2351,2137,2333,2610,2637,2592,2901,3038,2602,2690,2655,2277,2720,3167,2567,2579,3056,3058,782,804,881,1047,819,681,838,1320,893,749,836,859,1951,682,767,829,1172,1008,1284,960,1123,956,1317,1314,989,825,1056,867,942,805,831,1263,779,892,761,694,895,1010]), % 3.87/3.89 ['proof']). % 3.87/3.89 % SZS output end Proof % 3.87/3.89 % Total time :2.120000s %------------------------------------------------------------------------------