%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW313+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n013.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 18:07:10 EDT 2024 % Result : Theorem 219.21s 219.51s % Output : CNFRefutation 219.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWW313+1 : TPTP v8.2.0. Released v5.2.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n013.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Jun 19 06:09:39 EDT 2024 % 0.12/0.34 % CPUTime : % 0.60/0.64 start to proof:theBenchmark % 218.75/219.34 %------------------------------------------- % 218.75/219.34 % File :CSE---1.7 % 218.75/219.34 % Problem :theBenchmark % 218.75/219.34 % Transform :cnf % 218.75/219.34 % Format :tptp:raw % 218.75/219.34 % Command :java -jar mcs_scs.jar %d %s % 218.75/219.34 % 218.75/219.34 % Result :Theorem 187.160000s % 218.75/219.34 % Output :CNFRefutation 187.160000s % 218.75/219.34 %------------------------------------------- % 218.75/219.35 %------------------------------------------------------------------------------ % 218.75/219.35 % File : SWW313+1 : TPTP v8.2.0. Released v5.2.0. % 218.75/219.35 % Domain : Software Verification % 218.75/219.35 % Problem : Hoare's Logic with Procedures 434970, 5000 axioms selected % 218.75/219.35 % Version : Especial. % 218.75/219.35 % English : % 218.75/219.35 % 218.75/219.35 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 218.75/219.35 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 218.75/219.35 % Source : [Bla11] % 218.75/219.35 % Names : hoare_434970.5000.p [Bla11] % 218.75/219.35 % 218.75/219.35 % Status : Theorem % 218.75/219.35 % Rating : 0.56 v8.2.0, 0.50 v8.1.0, 0.56 v7.4.0, 0.63 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.61 v7.0.0, 0.63 v6.4.0, 0.62 v6.3.0, 0.58 v6.2.0, 0.68 v6.1.0, 0.73 v6.0.0, 0.70 v5.5.0, 0.74 v5.4.0, 0.75 v5.3.0, 0.78 v5.2.0 % 218.75/219.35 % Syntax : Number of formulae : 5228 (1640 unt; 0 def) % 218.75/219.35 % Number of atoms : 12836 (4418 equ) % 218.75/219.35 % Maximal formula atoms : 13 ( 2 avg) % 218.75/219.35 % Number of connectives : 8579 ( 971 ~; 148 |; 711 &) % 218.75/219.35 % ( 892 <=>;5857 =>; 0 <=; 0 <~>) % 218.75/219.35 % Maximal formula depth : 22 ( 6 avg) % 218.75/219.35 % Maximal term depth : 19 ( 2 avg) % 218.75/219.35 % Number of predicates : 152 ( 151 usr; 0 prp; 1-6 aty) % 218.75/219.35 % Number of functors : 376 ( 376 usr; 47 con; 0-7 aty) % 218.75/219.35 % Number of variables : 16688 (16532 !; 156 ?) % 218.75/219.35 % SPC : FOF_THM_RFO_SEQ % 218.75/219.35 % 218.75/219.35 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 218.75/219.35 % 2011-03-01 11:41:55 % 218.75/219.35 %------------------------------------------------------------------------------ % 218.75/219.35 %----Relevant facts (4985) % 218.75/219.35 fof(fact_ext,axiom, % 218.75/219.35 ! [V_g_2,V_f_2] : % 218.75/219.35 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 218.75/219.35 => V_f_2 = V_g_2 ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_asm,axiom, % 218.75/219.35 ! [V_G_2,V_tsa_2,T_b] : % 218.75/219.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_G_2)) % 218.75/219.35 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_weaken,axiom, % 218.75/219.35 ! [V_tsa_2,V_ts_H_2,V_G_2,T_b] : % 218.75/219.35 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_H_2) % 218.75/219.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_ts_H_2)) % 218.75/219.35 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_cut,axiom, % 218.75/219.35 ! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] : % 218.75/219.35 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2) % 218.75/219.35 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2) % 218.75/219.35 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_equalityI,axiom, % 218.75/219.35 ! [V_B_2,V_A_2,T_b] : % 218.75/219.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.75/219.35 => V_A_2 = V_B_2 ) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_order__refl,axiom, % 218.75/219.35 ! [V_x,T_a] : % 218.75/219.35 ( class_Orderings_Opreorder(T_a) % 218.75/219.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_le__fun__def,axiom, % 218.75/219.35 ! [V_g_2,V_f_2,T_b,T_c] : % 218.75/219.35 ( class_Orderings_Oord(T_c) % 218.75/219.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.75/219.35 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_le__funD,axiom, % 218.75/219.35 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 218.75/219.35 ( class_Orderings_Oord(T_c) % 218.75/219.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.75/219.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_le__funE,axiom, % 218.75/219.35 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 218.75/219.35 ( class_Orderings_Oord(T_c) % 218.75/219.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.75/219.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ). % 218.75/219.35 % 218.75/219.35 fof(fact_subset__refl,axiom, % 218.75/219.36 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ). % 218.75/219.36 % 218.75/219.36 fof(fact_set__eq__subset,axiom, % 218.75/219.36 ! [T_b,V_B_2,V_A_2] : % 218.75/219.36 ( V_A_2 = V_B_2 % 218.75/219.36 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_rev__predicate1D,axiom, % 218.75/219.36 ! [V_Q_2,T_b,V_x_2,V_P_2] : % 218.75/219.36 ( hBOOL(hAPP(V_P_2,V_x_2)) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 218.75/219.36 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_equalityD1,axiom, % 218.75/219.36 ! [T_b,V_B_2,V_A_2] : % 218.75/219.36 ( V_A_2 = V_B_2 % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_equalityD2,axiom, % 218.75/219.36 ! [T_b,V_B_2,V_A_2] : % 218.75/219.36 ( V_A_2 = V_B_2 % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_predicate1D,axiom, % 218.75/219.36 ! [V_x_2,V_Q_2,V_P_2,T_b] : % 218.75/219.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2)) % 218.75/219.36 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 218.75/219.36 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_subset__trans,axiom, % 218.75/219.36 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.75/219.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_linorder__le__cases,axiom, % 218.75/219.36 ! [V_y,V_x,T_a] : % 218.75/219.36 ( class_Orderings_Olinorder(T_a) % 218.75/219.36 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_xt1_I6_J,axiom, % 218.75/219.36 ! [V_z,V_x,V_y,T_a] : % 218.75/219.36 ( class_Orderings_Oorder(T_a) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_xt1_I5_J,axiom, % 218.75/219.36 ! [V_x,V_y,T_a] : % 218.75/219.36 ( class_Orderings_Oorder(T_a) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.75/219.36 => V_x = V_y ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_order__trans,axiom, % 218.75/219.36 ! [V_z,V_y,V_x,T_a] : % 218.75/219.36 ( class_Orderings_Opreorder(T_a) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_order__antisym,axiom, % 218.75/219.36 ! [V_y,V_x,T_a] : % 218.75/219.36 ( class_Orderings_Oorder(T_a) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.75/219.36 => V_x = V_y ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_xt1_I4_J,axiom, % 218.75/219.36 ! [V_c,V_a,V_b,T_a] : % 218.75/219.36 ( class_Orderings_Oorder(T_a) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 218.75/219.36 => ( V_b = V_c % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_ord__le__eq__trans,axiom, % 218.75/219.36 ! [V_c,V_b,V_a,T_a] : % 218.75/219.36 ( class_Orderings_Oord(T_a) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.75/219.36 => ( V_b = V_c % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_xt1_I3_J,axiom, % 218.75/219.36 ! [V_c,V_b,V_a,T_a] : % 218.75/219.36 ( class_Orderings_Oorder(T_a) % 218.75/219.36 => ( V_a = V_b % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_ord__eq__le__trans,axiom, % 218.75/219.36 ! [V_c,V_b,V_a,T_a] : % 218.75/219.36 ( class_Orderings_Oord(T_a) % 218.75/219.36 => ( V_a = V_b % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_order__antisym__conv,axiom, % 218.75/219.36 ! [V_x_2,V_y_2,T_b] : % 218.75/219.36 ( class_Orderings_Oorder(T_b) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.75/219.36 <=> V_x_2 = V_y_2 ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_order__eq__refl,axiom, % 218.75/219.36 ! [V_y,V_x,T_a] : % 218.75/219.36 ( class_Orderings_Opreorder(T_a) % 218.75/219.36 => ( V_x = V_y % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_order__eq__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Oorder(T_b) % 218.75/219.36 => ( V_x_2 = V_y_2 % 218.75/219.36 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.75/219.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_linorder__linear,axiom, % 218.75/219.36 ! [V_y,V_x,T_a] : % 218.75/219.36 ( class_Orderings_Olinorder(T_a) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.75/219.36 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_equalityE,axiom, % 218.75/219.36 ! [T_b,V_B_2,V_A_2] : % 218.75/219.36 ( V_A_2 = V_B_2 % 218.75/219.36 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.36 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_Powp__mono,axiom, % 218.75/219.36 ! [V_B_2,V_A_2,T_b] : % 218.75/219.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_order__fun_I1_J,axiom, % 218.75/219.36 ! [V_g_2,V_f_2,T_b,T_c] : % 218.75/219.36 ( ( class_Orderings_Oorder(T_c) % 218.75/219.36 & class_Enum_Oenum(T_b) ) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.75/219.36 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_Least__le,axiom, % 218.75/219.36 ! [V_k_2,V_P_2,T_b] : % 218.75/219.36 ( class_Orderings_Owellorder(T_b) % 218.75/219.36 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_P_2)),V_k_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_le__funI,axiom, % 218.75/219.36 ! [T_b,V_g_2,V_f_2,T_c] : % 218.75/219.36 ( class_Orderings_Oord(T_c) % 218.75/219.36 => ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_inv__imagep__def,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,V_f_2,V_r_2,T_c,T_b] : % 218.75/219.36 ( c_Predicate_Oinv__imagep(T_b,T_c,V_r_2,V_f_2,V_x_2,V_y_2) % 218.75/219.36 <=> hBOOL(hAPP(hAPP(V_r_2,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_strict__mono__less__eq,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 218.75/219.36 ( ( class_Orderings_Oorder(T_c) % 218.75/219.36 & class_Orderings_Olinorder(T_b) ) % 218.75/219.36 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 218.75/219.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_greaterThan__subset__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Olinorder(T_b) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2))) % 218.75/219.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_lessThan__subset__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Olinorder(T_b) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2))) % 218.75/219.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_atLeast__subset__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Oorder(T_b) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2))) % 218.75/219.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_atMost__subset__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Oorder(T_b) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2))) % 218.75/219.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_SUP__subset,axiom, % 218.75/219.36 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 218.75/219.36 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_INF__subset,axiom, % 218.75/219.36 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 218.75/219.36 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.75/219.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_SUPR__apply,axiom, % 218.75/219.36 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 218.75/219.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.36 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_INFI__apply,axiom, % 218.75/219.36 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 218.75/219.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.36 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_greaterThan__eq__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Olinorder(T_b) % 218.75/219.36 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 218.75/219.36 <=> V_x_2 = V_y_2 ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_lessThan__eq__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Olinorder(T_b) % 218.75/219.36 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 218.75/219.36 <=> V_x_2 = V_y_2 ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_atLeast__eq__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Olinorder(T_b) % 218.75/219.36 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 218.75/219.36 <=> V_x_2 = V_y_2 ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_atMost__eq__iff,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,T_b] : % 218.75/219.36 ( class_Orderings_Olinorder(T_b) % 218.75/219.36 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 218.75/219.36 <=> V_x_2 = V_y_2 ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_SUP__commute,axiom, % 218.75/219.36 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 218.75/219.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_INF__commute,axiom, % 218.75/219.36 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 218.75/219.36 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.36 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_all__code,axiom, % 218.75/219.36 ! [V_P_2,T_b] : % 218.75/219.36 ( class_Enum_Oenum(T_b) % 218.75/219.36 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 218.75/219.36 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_enum__all,axiom, % 218.75/219.36 ! [V_P_2,T_b] : % 218.75/219.36 ( class_Enum_Oenum(T_b) % 218.75/219.36 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) % 218.75/219.36 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_LeastI__ex,axiom, % 218.75/219.36 ! [V_P_2,T_b] : % 218.75/219.36 ( class_Orderings_Owellorder(T_b) % 218.75/219.36 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 218.75/219.36 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ). % 218.75/219.36 % 218.75/219.36 fof(fact_strict__mono__eq,axiom, % 218.75/219.36 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 218.75/219.36 ( ( class_Orderings_Oorder(T_c) % 218.75/219.36 & class_Orderings_Olinorder(T_b) ) % 218.75/219.36 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 218.75/219.37 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 218.75/219.37 <=> V_x_2 = V_y_2 ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__subset__iff,axiom, % 218.75/219.37 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) % 218.75/219.37 <=> ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__subset__iff,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2)) % 218.75/219.37 <=> ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_LeastI,axiom, % 218.75/219.37 ! [V_k_2,V_P_2,T_b] : % 218.75/219.37 ( class_Orderings_Owellorder(T_b) % 218.75/219.37 => ( hBOOL(hAPP(V_P_2,V_k_2)) % 218.75/219.37 => hBOOL(hAPP(V_P_2,c_Orderings_Oord__class_OLeast(T_b,V_P_2))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_le__INF__iff,axiom, % 218.75/219.37 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 218.75/219.37 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2))) % 218.75/219.37 <=> ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_SUP__le__iff,axiom, % 218.75/219.37 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 218.75/219.37 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2)) % 218.75/219.37 <=> ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_in__inv__imagep,axiom, % 218.75/219.37 ! [V_y_2,V_x_2,V_f_2,V_r_2,T_c,T_b] : % 218.75/219.37 ( c_Predicate_Oinv__imagep(T_b,T_c,V_r_2,V_f_2,V_x_2,V_y_2) % 218.75/219.37 <=> hBOOL(hAPP(hAPP(V_r_2,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Least__equality,axiom, % 218.75/219.37 ! [V_x_2,V_P_2,T_b] : % 218.75/219.37 ( class_Orderings_Oorder(T_b) % 218.75/219.37 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 218.75/219.37 => ( ! [B_y] : % 218.75/219.37 ( hBOOL(hAPP(V_P_2,B_y)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 218.75/219.37 => c_Orderings_Oord__class_OLeast(T_b,V_P_2) = V_x_2 ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Pow__mono,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Inter__anti__mono,axiom, % 218.75/219.37 ! [V_A_2,V_B_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INF__leI,axiom, % 218.75/219.37 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 218.75/219.37 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_le__SUPI,axiom, % 218.75/219.37 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 218.75/219.37 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_atLeastLessThan__subset__iff,axiom, % 218.75/219.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.75/219.37 ( class_Orderings_Olinorder(T_b) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2))) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 218.75/219.37 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 218.75/219.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__greaterThan,axiom, % 218.75/219.37 ! [V_k_2,T_b] : % 218.75/219.37 ( class_Orderings_Olinorder(T_b) % 218.75/219.37 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__atMost,axiom, % 218.75/219.37 ! [V_k_2,T_b] : % 218.75/219.37 ( class_Orderings_Olinorder(T_b) % 218.75/219.37 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_atLeastatMost__subset__iff,axiom, % 218.75/219.37 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.75/219.37 ( class_Orderings_Oorder(T_b) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 218.75/219.37 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 218.75/219.37 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 218.75/219.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__lessThan,axiom, % 218.75/219.37 ! [V_k_2,T_b] : % 218.75/219.37 ( class_Orderings_Olinorder(T_b) % 218.75/219.37 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__atLeast,axiom, % 218.75/219.37 ! [V_k_2,T_b] : % 218.75/219.37 ( class_Orderings_Olinorder(T_b) % 218.75/219.37 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Union__mono,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_equalityCE,axiom, % 218.75/219.37 ! [V_c_2,T_b,V_B_2,V_A_2] : % 218.75/219.37 ( V_A_2 = V_B_2 % 218.75/219.37 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.75/219.37 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 218.75/219.37 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INF2__E,axiom, % 218.75/219.37 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 218.75/219.37 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 218.75/219.37 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INF2__D,axiom, % 218.75/219.37 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_SUP2__I,axiom, % 218.75/219.37 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_subsetD,axiom, % 218.75/219.37 ! [V_c_2,V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_ComplI,axiom, % 218.75/219.37 ! [V_A_2,V_c_2,T_b] : % 218.75/219.37 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UnionI,axiom, % 218.75/219.37 ! [V_A_2,V_C_2,V_X_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_InterE,axiom, % 218.75/219.37 ! [V_X_2,V_C_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_InterD,axiom, % 218.75/219.37 ! [V_X_2,V_C_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_PowI,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__I,axiom, % 218.75/219.37 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_SUP1__I,axiom, % 218.75/219.37 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__D,axiom, % 218.75/219.37 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__E,axiom, % 218.75/219.37 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 218.75/219.37 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INF1__E,axiom, % 218.75/219.37 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 218.75/219.37 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 218.75/219.37 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INF1__D,axiom, % 218.75/219.37 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__UN__flatten,axiom, % 218.75/219.37 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__simps_I9_J,axiom, % 218.75/219.37 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__simps_I9_J,axiom, % 218.75/219.37 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_ball__UN,axiom, % 218.75/219.37 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] : % 218.75/219.37 ( ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.37 => hBOOL(hAPP(V_P_2,B_x)) ) % 218.75/219.37 <=> ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.75/219.37 => ! [B_xa] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 218.75/219.37 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__extend__simps_I9_J,axiom, % 218.75/219.37 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__extend__simps_I9_J,axiom, % 218.75/219.37 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Union__Pow__eq,axiom, % 218.75/219.37 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ). % 218.75/219.37 % 218.75/219.37 fof(fact_INF1__iff,axiom, % 218.75/219.37 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 218.75/219.37 <=> ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_SUP1__iff,axiom, % 218.75/219.37 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 218.75/219.37 <=> ? [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.37 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_ComplE,axiom, % 218.75/219.37 ! [V_A_2,V_c_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 218.75/219.37 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_ComplD,axiom, % 218.75/219.37 ! [V_A_2,V_c_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 218.75/219.37 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_eq__mem__trans,axiom, % 218.75/219.37 ! [V_A_2,T_b,V_b_2,V_a_2] : % 218.75/219.37 ( V_a_2 = V_b_2 % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_eqelem__imp__iff,axiom, % 218.75/219.37 ! [V_A_2,T_b,V_y_2,V_x_2] : % 218.75/219.37 ( V_x_2 = V_y_2 % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_eqset__imp__iff,axiom, % 218.75/219.37 ! [V_x_2,T_b,V_B_2,V_A_2] : % 218.75/219.37 ( V_A_2 = V_B_2 % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__eq__Compl__iff,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) % 218.75/219.37 <=> V_A_2 = V_B_2 ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_eq__mem,axiom, % 218.75/219.37 ! [V_y_2,V_x_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 218.75/219.37 <=> V_x_2 = V_y_2 ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__iff,axiom, % 218.75/219.37 ! [V_A_2,V_c_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 218.75/219.37 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_mem__def,axiom, % 218.75/219.37 ! [V_A_2,V_x_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_double__complement,axiom, % 218.75/219.37 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ). % 218.75/219.37 % 218.75/219.37 fof(fact_Pow__top,axiom, % 218.75/219.37 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Union__upper,axiom, % 218.75/219.37 ! [V_A_2,V_B_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Inter__lower,axiom, % 218.75/219.37 ! [V_A_2,V_B_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__INT,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__UN,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Union__def,axiom, % 218.75/219.37 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__extend__simps_I8_J,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__extend__simps_I8_J,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__simps_I8_J,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__simps_I8_J,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Pow__iff,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 218.75/219.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_PowD,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_pred__equals__eq,axiom, % 218.75/219.37 ! [V_S_2,V_R_2,T_b] : % 218.75/219.37 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2) % 218.75/219.37 <=> V_R_2 = V_S_2 ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_INT__iff,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.37 <=> ! [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_UN__iff,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.37 <=> ? [B_x] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.75/219.37 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Sup__upper,axiom, % 218.75/219.37 ! [V_A_2,V_x_2,T_b] : % 218.75/219.37 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Inf__lower,axiom, % 218.75/219.37 ! [V_A_2,V_x_2,T_b] : % 218.75/219.37 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Inter__def,axiom, % 218.75/219.37 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Powp__Pow__eq,axiom, % 218.75/219.37 ! [V_x_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 218.75/219.37 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Pow__INT__eq,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ). % 218.75/219.37 % 218.75/219.37 fof(fact_subset__Pow__Union,axiom, % 218.75/219.37 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__anti__mono,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_Compl__subset__Compl__iff,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) % 218.75/219.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_set__mp,axiom, % 218.75/219.37 ! [V_x_2,V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_set__rev__mp,axiom, % 218.75/219.37 ! [V_B_2,V_A_2,V_x_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_in__mono,axiom, % 218.75/219.37 ! [V_x_2,V_B_2,V_A_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.75/219.37 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 218.75/219.37 % 218.75/219.37 fof(fact_pred__subset__eq,axiom, % 218.75/219.37 ! [V_S_2,V_R_2,T_b] : % 218.75/219.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) % 218.75/219.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_UN__upper,axiom, % 218.75/219.38 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_INT__lower,axiom, % 218.75/219.38 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_Sup__le__iff,axiom, % 218.75/219.38 ! [V_b_2,V_A_2,T_b] : % 218.75/219.38 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2)) % 218.75/219.38 <=> ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_le__Inf__iff,axiom, % 218.75/219.38 ! [V_A_2,V_b_2,T_b] : % 218.75/219.38 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) % 218.75/219.38 <=> ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_UN__Pow__subset,axiom, % 218.75/219.38 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 218.75/219.38 % 218.75/219.38 fof(fact_atMost__iff,axiom, % 218.75/219.38 ! [V_k_2,V_i_2,T_b] : % 218.75/219.38 ( class_Orderings_Oord(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_atLeast__iff,axiom, % 218.75/219.38 ! [V_k_2,V_i_2,T_b] : % 218.75/219.38 ( class_Orderings_Oord(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_fun__Compl__def,axiom, % 218.75/219.38 ! [V_x_2,V_A_2,T_c,T_b] : % 218.75/219.38 ( class_Groups_Ouminus(T_b) % 218.75/219.38 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_uminus__apply,axiom, % 218.75/219.38 ! [V_x_2,V_A_2,T_c,T_b] : % 218.75/219.38 ( class_Groups_Ouminus(T_b) % 218.75/219.38 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 218.75/219.38 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 218.75/219.38 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 218.75/219.38 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OatLeastLessThan__iff,axiom, % 218.75/219.38 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2))) % 218.75/219.38 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 218.75/219.38 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 218.75/219.38 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2))) % 218.75/219.38 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 218.75/219.38 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OatLeastAtMost__iff,axiom, % 218.75/219.38 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2))) % 218.75/219.38 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 218.75/219.38 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OgreaterThan__iff,axiom, % 218.75/219.38 ! [V_k_2,V_less_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OlessThan__iff,axiom, % 218.75/219.38 ! [V_k_2,V_less_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OatLeast__iff,axiom, % 218.75/219.38 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ord_OatMost__iff,axiom, % 218.75/219.38 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_compl__mono,axiom, % 218.75/219.38 ! [V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Oboolean__algebra(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_le__imp__neg__le,axiom, % 218.75/219.38 ! [V_b,V_a,T_a] : % 218.75/219.38 ( class_Groups_Oordered__ab__group__add(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_SUP2__iff,axiom, % 218.75/219.38 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 218.75/219.38 <=> ? [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_INF2__iff,axiom, % 218.75/219.38 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 218.75/219.38 <=> ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_compl__eq__compl__iff,axiom, % 218.75/219.38 ! [V_y_2,V_x_2,T_b] : % 218.75/219.38 ( class_Lattices_Oboolean__algebra(T_b) % 218.75/219.38 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 218.75/219.38 <=> V_x_2 = V_y_2 ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_neg__equal__iff__equal,axiom, % 218.75/219.38 ! [V_b_2,V_a_2,T_b] : % 218.75/219.38 ( class_Groups_Ogroup__add(T_b) % 218.75/219.38 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 218.75/219.38 <=> V_a_2 = V_b_2 ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_minus__equation__iff,axiom, % 218.75/219.38 ! [V_b_2,V_a_2,T_b] : % 218.75/219.38 ( class_Groups_Ogroup__add(T_b) % 218.75/219.38 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 218.75/219.38 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_equation__minus__iff,axiom, % 218.75/219.38 ! [V_b_2,V_a_2,T_b] : % 218.75/219.38 ( class_Groups_Ogroup__add(T_b) % 218.75/219.38 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 218.75/219.38 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_double__compl,axiom, % 218.75/219.38 ! [V_x,T_a] : % 218.75/219.38 ( class_Lattices_Oboolean__algebra(T_a) % 218.75/219.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_minus__minus,axiom, % 218.75/219.38 ! [V_a,T_a] : % 218.75/219.38 ( class_Groups_Ogroup__add(T_a) % 218.75/219.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_le__minus__iff,axiom, % 218.75/219.38 ! [V_b_2,V_a_2,T_b] : % 218.75/219.38 ( class_Groups_Oordered__ab__group__add(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_minus__le__iff,axiom, % 218.75/219.38 ! [V_b_2,V_a_2,T_b] : % 218.75/219.38 ( class_Groups_Oordered__ab__group__add(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_neg__le__iff__le,axiom, % 218.75/219.38 ! [V_a_2,V_b_2,T_b] : % 218.75/219.38 ( class_Groups_Oordered__ab__group__add(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_compl__le__compl__iff,axiom, % 218.75/219.38 ! [V_y_2,V_x_2,T_b] : % 218.75/219.38 ( class_Lattices_Oboolean__algebra(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 218.75/219.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_InterI,axiom, % 218.75/219.38 ! [V_A_2,V_C_2,T_b] : % 218.75/219.38 ( ! [B_X] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_UnionE,axiom, % 218.75/219.38 ! [V_C_2,V_A_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 218.75/219.38 => ~ ! [B_X] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 218.75/219.38 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_SUP2__E,axiom, % 218.75/219.38 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) % 218.75/219.38 => ~ ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_INF2__I,axiom, % 218.75/219.38 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 218.75/219.38 ( ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ivl__disj__un_I13_J,axiom, % 218.75/219.38 ! [V_u_2,V_l_2,T_b] : % 218.75/219.38 ( class_Orderings_Olinorder(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ivl__disj__un_I10_J,axiom, % 218.75/219.38 ! [V_u_2,V_l_2,T_b] : % 218.75/219.38 ( class_Orderings_Olinorder(T_b) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_INT__greatest,axiom, % 218.75/219.38 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 218.75/219.38 ( ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_INT__anti__mono,axiom, % 218.75/219.38 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.75/219.38 => ( ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_UN__least,axiom, % 218.75/219.38 ! [V_C_2,V_B_2,T_c,V_A_2,T_b] : % 218.75/219.38 ( ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_UN__mono,axiom, % 218.75/219.38 ! [V_g_2,V_f_2,T_c,V_B_2,V_A_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.75/219.38 => ( ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_g_2))) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_le__INFI,axiom, % 218.75/219.38 ! [V_M_2,V_u_2,V_A_2,T_b,T_c] : % 218.75/219.38 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.75/219.38 => ( ! [B_i] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(V_M_2,B_i))) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2))) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup1CI,axiom, % 218.75/219.38 ! [T_b,V_A_2,V_x_2,V_B_2] : % 218.75/219.38 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 218.75/219.38 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup1E,axiom, % 218.75/219.38 ! [V_x_2,V_B_2,V_A_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 218.75/219.38 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 218.75/219.38 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_UnCI,axiom, % 218.75/219.38 ! [V_A_2,V_B_2,V_c_2,T_b] : % 218.75/219.38 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_UnE,axiom, % 218.75/219.38 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__apply,axiom, % 218.75/219.38 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 218.75/219.38 ( class_Lattices_Olattice(T_b) % 218.75/219.38 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__assoc,axiom, % 218.75/219.38 ! [V_z,V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_inf__sup__aci_I6_J,axiom, % 218.75/219.38 ! [V_z,V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Olattice(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup_Oassoc,axiom, % 218.75/219.38 ! [V_c,V_b,V_a,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__left__commute,axiom, % 218.75/219.38 ! [V_z,V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_inf__sup__aci_I7_J,axiom, % 218.75/219.38 ! [V_z,V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Olattice(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup_Oleft__commute,axiom, % 218.75/219.38 ! [V_c,V_a,V_b,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__left__idem,axiom, % 218.75/219.38 ! [V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_inf__sup__aci_I8_J,axiom, % 218.75/219.38 ! [V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Olattice(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup_Oleft__idem,axiom, % 218.75/219.38 ! [V_b,V_a,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__commute,axiom, % 218.75/219.38 ! [V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_inf__sup__aci_I5_J,axiom, % 218.75/219.38 ! [V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Olattice(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup_Ocommute,axiom, % 218.75/219.38 ! [V_b,V_a,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__fun__def,axiom, % 218.75/219.38 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 218.75/219.38 ( class_Lattices_Olattice(T_b) % 218.75/219.38 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__idem,axiom, % 218.75/219.38 ! [V_x,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup_Oidem,axiom, % 218.75/219.38 ! [V_a,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup1I2,axiom, % 218.75/219.38 ! [V_A_2,T_b,V_x_2,V_B_2] : % 218.75/219.38 ( hBOOL(hAPP(V_B_2,V_x_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup1I1,axiom, % 218.75/219.38 ! [V_B_2,T_b,V_x_2,V_A_2] : % 218.75/219.38 ( hBOOL(hAPP(V_A_2,V_x_2)) % 218.75/219.38 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_ball__Un,axiom, % 218.75/219.38 ! [V_P_2,V_B_2,V_A_2,T_b] : % 218.75/219.38 ( ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.38 => hBOOL(hAPP(V_P_2,B_x)) ) % 218.75/219.38 <=> ( ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 => hBOOL(hAPP(V_P_2,B_x)) ) % 218.75/219.38 & ! [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 218.75/219.38 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_bex__Un,axiom, % 218.75/219.38 ! [V_P_2,V_B_2,V_A_2,T_b] : % 218.75/219.38 ( ? [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.75/219.38 & hBOOL(hAPP(V_P_2,B_x)) ) % 218.75/219.38 <=> ( ? [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.75/219.38 & hBOOL(hAPP(V_P_2,B_x)) ) % 218.75/219.38 | ? [B_x] : % 218.75/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 218.75/219.38 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_Un__assoc,axiom, % 218.75/219.38 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 218.75/219.38 % 218.75/219.38 fof(fact_Un__left__commute,axiom, % 218.75/219.38 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 218.75/219.38 % 218.75/219.38 fof(fact_Un__left__absorb,axiom, % 218.75/219.38 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.75/219.38 % 218.75/219.38 fof(fact_Un__commute,axiom, % 218.75/219.38 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 218.75/219.38 % 218.75/219.38 fof(fact_Un__absorb,axiom, % 218.75/219.38 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 218.75/219.38 % 218.75/219.38 fof(fact_Union__Un__distrib,axiom, % 218.75/219.38 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 218.75/219.38 % 218.75/219.38 fof(fact_le__supE,axiom, % 218.75/219.38 ! [V_x,V_b,V_a,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) % 218.75/219.38 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 218.75/219.38 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__mono,axiom, % 218.75/219.38 ! [V_d,V_b,V_c,V_a,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__least,axiom, % 218.75/219.38 ! [V_z,V_x,V_y,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_le__supI,axiom, % 218.75/219.38 ! [V_b,V_x,V_a,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 218.75/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) ) ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__absorb1,axiom, % 218.75/219.38 ! [V_x,V_y,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_sup__absorb2,axiom, % 218.75/219.38 ! [V_y,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.75/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 218.75/219.38 % 218.75/219.38 fof(fact_le__supI2,axiom, % 218.75/219.38 ! [V_a,V_b,V_x,T_a] : % 218.75/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.75/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_le__supI1,axiom, % 218.86/219.38 ! [V_b,V_a,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_le__sup__iff,axiom, % 218.86/219.38 ! [V_z_2,V_y_2,V_x_2,T_b] : % 218.86/219.38 ( class_Lattices_Osemilattice__sup(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2)) % 218.86/219.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 218.86/219.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_le__iff__sup,axiom, % 218.86/219.38 ! [V_y_2,V_x_2,T_b] : % 218.86/219.38 ( class_Lattices_Osemilattice__sup(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.38 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_sup__ge2,axiom, % 218.86/219.38 ! [V_x,V_y,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__sup__ord_I4_J,axiom, % 218.86/219.38 ! [V_x,V_y,T_a] : % 218.86/219.38 ( class_Lattices_Olattice(T_a) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_sup__ge1,axiom, % 218.86/219.38 ! [V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__sup(T_a) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__sup__ord_I3_J,axiom, % 218.86/219.38 ! [V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Olattice(T_a) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_UnI2,axiom, % 218.86/219.38 ! [V_A_2,V_B_2,V_c_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_UnI1,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__iff,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.38 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.38 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__mono,axiom, % 218.86/219.38 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__least,axiom, % 218.86/219.38 ! [V_B_2,V_C_2,V_A_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__absorb2,axiom, % 218.86/219.38 ! [V_A_2,V_B_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__absorb1,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_subset__Un__eq,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.38 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__upper2,axiom, % 218.86/219.38 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__upper1,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__Pow__subset,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_sup__Un__eq,axiom, % 218.86/219.38 ! [V_x_2,V_S_2,V_R_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 218.86/219.38 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_UN__Un__distrib,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 218.86/219.38 % 218.86/219.38 fof(fact_UN__Un,axiom, % 218.86/219.38 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 218.86/219.38 % 218.86/219.38 fof(fact_INT__simps_I7_J,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 218.86/219.38 % 218.86/219.38 fof(fact_INT__simps_I6_J,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 218.86/219.38 % 218.86/219.38 fof(fact_INT__extend__simps_I7_J,axiom, % 218.86/219.38 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__INT__distrib,axiom, % 218.86/219.38 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 218.86/219.38 % 218.86/219.38 fof(fact_INT__extend__simps_I6_J,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__INT__distrib2,axiom, % 218.86/219.38 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I17_J,axiom, % 218.86/219.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_UN__absorb,axiom, % 218.86/219.38 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I21_J,axiom, % 218.86/219.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I8_J,axiom, % 218.86/219.38 ! [V_u_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I14_J,axiom, % 218.86/219.38 ! [V_u_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__Inter,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I11_J,axiom, % 218.86/219.38 ! [V_u_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I9_J,axiom, % 218.86/219.38 ! [V_u_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_SUP__leI,axiom, % 218.86/219.38 ! [V_u_2,V_M_2,V_A_2,T_b,T_c] : % 218.86/219.38 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.86/219.38 => ( ! [B_i] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,B_i)),V_u_2)) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2)),V_u_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I22_J,axiom, % 218.86/219.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Inter__greatest,axiom, % 218.86/219.38 ! [V_C_2,V_A_2,T_b] : % 218.86/219.38 ( ! [B_X] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),B_X)) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Union__least,axiom, % 218.86/219.38 ! [V_C_2,V_A_2,T_b] : % 218.86/219.38 ( ! [B_X] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_C_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_INF1__I,axiom, % 218.86/219.38 ! [T_c,V_b_2,V_B_2,V_A_2,T_b] : % 218.86/219.38 ( ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_INT__I,axiom, % 218.86/219.38 ! [V_B_2,V_b_2,T_c,V_A_2,T_b] : % 218.86/219.38 ( ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,B_x))) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_SUP1__E,axiom, % 218.86/219.38 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) % 218.86/219.38 => ~ ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.38 => ~ hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_UN__E,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.38 => ~ ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.38 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Inf__greatest,axiom, % 218.86/219.38 ! [V_z_2,V_A_2,T_b] : % 218.86/219.38 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.38 => ( ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),B_x)) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2))) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_ivl__disj__un_I20_J,axiom, % 218.86/219.38 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.38 ( class_Orderings_Olinorder(T_b) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Sup__least,axiom, % 218.86/219.38 ! [V_z_2,V_A_2,T_b] : % 218.86/219.38 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.38 => ( ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_z_2)) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_z_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Sup__fin_Oidem,axiom, % 218.86/219.38 ! [V_x,T_a] : % 218.86/219.38 ( class_Lattices_Olattice(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Un__Union__image,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_subsetI,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_b] : % 218.86/219.38 ( ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) ) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_Inter__Un__subset,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_image__uminus__atLeast,axiom, % 218.86/219.38 ! [V_x_2,T_b] : % 218.86/219.38 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.38 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_image__uminus__atMost,axiom, % 218.86/219.38 ! [V_x_2,T_b] : % 218.86/219.38 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.38 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_image__uminus__greaterThan,axiom, % 218.86/219.38 ! [V_x_2,T_b] : % 218.86/219.38 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.38 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_image__uminus__lessThan,axiom, % 218.86/219.38 ! [V_x_2,T_b] : % 218.86/219.38 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.38 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_INT__cong,axiom, % 218.86/219.38 ! [T_c,V_D_2,V_C_2,T_b,V_B_2,V_A_2] : % 218.86/219.38 ( V_A_2 = V_B_2 % 218.86/219.38 => ( ! [B_x] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 218.86/219.38 => hAPP(V_C_2,B_x) = hAPP(V_D_2,B_x) ) % 218.86/219.38 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_sup__compl__top,axiom, % 218.86/219.38 ! [V_x,T_a] : % 218.86/219.38 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_UNIV__I,axiom, % 218.86/219.38 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf1E,axiom, % 218.86/219.38 ! [V_x_2,V_B_2,V_A_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 218.86/219.38 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 218.86/219.38 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf1I,axiom, % 218.86/219.38 ! [T_b,V_B_2,V_x_2,V_A_2] : % 218.86/219.38 ( hBOOL(hAPP(V_A_2,V_x_2)) % 218.86/219.38 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_image__eqI,axiom, % 218.86/219.38 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 218.86/219.38 ( V_b_2 = hAPP(V_f_2,V_x_2) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_IntE,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.38 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.38 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_IntI,axiom, % 218.86/219.38 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_rangeI,axiom, % 218.86/219.38 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ). % 218.86/219.38 % 218.86/219.38 fof(fact_range__eqI,axiom, % 218.86/219.38 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 218.86/219.38 ( V_b_2 = hAPP(V_f_2,V_x_2) % 218.86/219.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__apply,axiom, % 218.86/219.38 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 218.86/219.38 ( class_Lattices_Olattice(T_b) % 218.86/219.38 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__assoc,axiom, % 218.86/219.38 ! [V_z,V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__sup__aci_I2_J,axiom, % 218.86/219.38 ! [V_z,V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Olattice(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf_Oassoc,axiom, % 218.86/219.38 ! [V_c,V_b,V_a,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__eq__top__iff,axiom, % 218.86/219.38 ! [V_y_2,V_x_2,T_b] : % 218.86/219.38 ( class_Lattices_Obounded__lattice__top(T_b) % 218.86/219.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 218.86/219.38 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 218.86/219.38 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__left__commute,axiom, % 218.86/219.38 ! [V_z,V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__sup__aci_I3_J,axiom, % 218.86/219.38 ! [V_z,V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Olattice(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf_Oleft__commute,axiom, % 218.86/219.38 ! [V_c,V_a,V_b,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__left__idem,axiom, % 218.86/219.38 ! [V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__sup__aci_I4_J,axiom, % 218.86/219.38 ! [V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Olattice(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf_Oleft__idem,axiom, % 218.86/219.38 ! [V_b,V_a,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__commute,axiom, % 218.86/219.38 ! [V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ). % 218.86/219.38 % 218.86/219.38 fof(fact_inf__sup__aci_I1_J,axiom, % 218.86/219.38 ! [V_y,V_x,T_a] : % 218.86/219.38 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf_Ocommute,axiom, % 218.86/219.39 ! [V_b,V_a,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__fun__def,axiom, % 218.86/219.39 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 218.86/219.39 ( class_Lattices_Olattice(T_b) % 218.86/219.39 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__idem,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf_Oidem,axiom, % 218.86/219.39 ! [V_a,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__top__right,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__top(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__top__left,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__top(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Inf__fin_Oidem,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf1D2,axiom, % 218.86/219.39 ! [V_x_2,V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 218.86/219.39 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf1D1,axiom, % 218.86/219.39 ! [V_x_2,V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) % 218.86/219.39 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__assoc,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_range__composition,axiom, % 218.86/219.39 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__left__commute,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__left__absorb,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__commute,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__absorb,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__UNIV__right,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__UNIV__left,axiom, % 218.86/219.39 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 218.86/219.39 % 218.86/219.39 fof(fact_top__apply,axiom, % 218.86/219.39 ! [V_x_2,T_c,T_b] : % 218.86/219.39 ( class_Orderings_Otop(T_b) % 218.86/219.39 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__Int__subset,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__image,axiom, % 218.86/219.39 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__Pow__surj,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 218.86/219.39 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 218.86/219.39 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Pow__Int__eq,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Union__UNIV,axiom, % 218.86/219.39 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Pow__UNIV,axiom, % 218.86/219.39 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Sup__UNIV,axiom, % 218.86/219.39 ! [T_b] : % 218.86/219.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.39 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_rev__image__eqI,axiom, % 218.86/219.39 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.39 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_imageI,axiom, % 218.86/219.39 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__iff,axiom, % 218.86/219.39 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 218.86/219.39 <=> ? [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.39 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Union__Int__subset,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_le__infE,axiom, % 218.86/219.39 ! [V_b,V_a,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) % 218.86/219.39 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 218.86/219.39 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__mono,axiom, % 218.86/219.39 ! [V_d,V_b,V_c,V_a,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__greatest,axiom, % 218.86/219.39 ! [V_z,V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_le__infI,axiom, % 218.86/219.39 ! [V_b,V_a,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__absorb2,axiom, % 218.86/219.39 ! [V_x,V_y,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__absorb1,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_le__infI2,axiom, % 218.86/219.39 ! [V_a,V_x,V_b,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_le__infI1,axiom, % 218.86/219.39 ! [V_b,V_x,V_a,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_le__inf__iff,axiom, % 218.86/219.39 ! [V_z_2,V_y_2,V_x_2,T_b] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_b) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2))) % 218.86/219.39 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_le__iff__inf,axiom, % 218.86/219.39 ! [V_y_2,V_x_2,T_b] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_b) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.39 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__le2,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__sup__ord_I2_J,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__le1,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__sup__ord_I1_J,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__mono,axiom, % 218.86/219.39 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_subset__image__iff,axiom, % 218.86/219.39 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 218.86/219.39 <=> ? [B_AA] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 218.86/219.39 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__Un,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__inf__distrib2,axiom, % 218.86/219.39 ! [V_x,V_z,V_y,T_a] : % 218.86/219.39 ( class_Lattices_Odistrib__lattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__sup__distrib2,axiom, % 218.86/219.39 ! [V_x,V_z,V_y,T_a] : % 218.86/219.39 ( class_Lattices_Odistrib__lattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__inf__distrib1,axiom, % 218.86/219.39 ! [V_z,V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Odistrib__lattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__sup__distrib1,axiom, % 218.86/219.39 ! [V_z,V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Odistrib__lattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__inf__absorb,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__sup__absorb,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_IntD2,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_IntD1,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__iff,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.39 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.39 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__mono,axiom, % 218.86/219.39 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__greatest,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_C_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__absorb1,axiom, % 218.86/219.39 ! [V_A_2,V_B_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__absorb2,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__lower2,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__lower1,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__Int__crazy,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__Int__distrib2,axiom, % 218.86/219.39 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__Un__distrib2,axiom, % 218.86/219.39 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__Int__distrib,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__Un__distrib,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_subset__UNIV,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__UNIV__right,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__UNIV__left,axiom, % 218.86/219.39 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__Inter__image,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__extend__simps_I10_J,axiom, % 218.86/219.39 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__UN,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__simps_I10_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__extend__simps_I10_J,axiom, % 218.86/219.39 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__simps_I10_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__Int__eq,axiom, % 218.86/219.39 ! [V_x_2,V_S_2,V_R_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2)) % 218.86/219.39 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__simps_I5_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__simps_I4_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__extend__simps_I5_J,axiom, % 218.86/219.39 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__UN__distrib,axiom, % 218.86/219.39 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__extend__simps_I4_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__UN__distrib2,axiom, % 218.86/219.39 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__Pow__mono,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__Int__distrib,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b] : % 218.86/219.39 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 218.86/219.39 <=> ! [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.39 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b,T_c] : % 218.86/219.39 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> ! [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.39 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_top__greatest,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Orderings_Otop(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__top__right,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__top(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__top__left,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__top(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_distrib__sup__le,axiom, % 218.86/219.39 ! [V_z,V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_distrib__inf__le,axiom, % 218.86/219.39 ! [V_z,V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Olattice(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_compl__sup,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_compl__inf,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__uminus__atLeastAtMost,axiom, % 218.86/219.39 ! [V_y_2,V_x_2,T_b] : % 218.86/219.39 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.39 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__Int__assoc__eq,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__Un,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__Int,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__partition2,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__partition,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UNION__eq__Union__image,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Union__image__eq,axiom, % 218.86/219.39 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__absorb,axiom, % 218.86/219.39 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INTER__eq__Inter__image,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Inter__image__eq,axiom, % 218.86/219.39 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__Un,axiom, % 218.86/219.39 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_SUP__UN__eq,axiom, % 218.86/219.39 ! [V_x_2,V_r_2,T_c,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 218.86/219.39 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INF__INT__eq,axiom, % 218.86/219.39 ! [V_x_2,V_r_2,T_c,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2)) % 218.86/219.39 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__Union,axiom, % 218.86/219.39 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Inter__Un__distrib,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__Union2,axiom, % 218.86/219.39 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__Union,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__uminus__greaterThanAtMost,axiom, % 218.86/219.39 ! [V_y_2,V_x_2,T_b] : % 218.86/219.39 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.39 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__uminus__atLeastLessThan,axiom, % 218.86/219.39 ! [V_y_2,V_x_2,T_b] : % 218.86/219.39 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.39 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_compl__sup__top,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_surj__Compl__image__subset,axiom, % 218.86/219.39 ! [V_A_2,V_f_2,T_b,T_c] : % 218.86/219.39 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Cantors__paradox,axiom, % 218.86/219.39 ! [V_A_2,T_b] : % 218.86/219.39 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Least__mono,axiom, % 218.86/219.39 ! [V_S_2,V_f_2,T_b,T_c] : % 218.86/219.39 ( ( class_Orderings_Oorder(T_c) % 218.86/219.39 & class_Orderings_Oorder(T_b) ) % 218.86/219.39 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.39 => ( ? [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 218.86/219.39 & ! [B_xa] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) % 218.86/219.39 => c_Orderings_Oord__class_OLeast(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2))) = hAPP(V_f_2,c_Orderings_Oord__class_OLeast(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_compl__unique,axiom, % 218.86/219.39 ! [V_y,V_x,T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 218.86/219.39 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 218.86/219.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__ident,axiom, % 218.86/219.39 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 218.86/219.39 % 218.86/219.39 fof(fact_imageE,axiom, % 218.86/219.39 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 218.86/219.39 => ~ ! [B_x] : % 218.86/219.39 ( V_b_2 = hAPP(V_f_2,B_x) % 218.86/219.39 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__subsetI,axiom, % 218.86/219.39 ! [V_B_2,V_f_2,T_c,V_A_2,T_b] : % 218.86/219.39 ( ! [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,B_x)),V_B_2)) ) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I5_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I3_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I7_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I8_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_top1I,axiom, % 218.86/219.39 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_emptyE,axiom, % 218.86/219.39 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_empty__subsetI,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UNIV__not__empty,axiom, % 218.86/219.39 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_bot__fun__def,axiom, % 218.86/219.39 ! [V_x_2,T_c,T_b] : % 218.86/219.39 ( class_Orderings_Obot(T_b) % 218.86/219.39 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_bot__apply,axiom, % 218.86/219.39 ! [V_x_2,T_c,T_b] : % 218.86/219.39 ( class_Orderings_Obot(T_b) % 218.86/219.39 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Union__empty,axiom, % 218.86/219.39 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Sup__empty,axiom, % 218.86/219.39 ! [T_b] : % 218.86/219.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.39 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_all__not__in__conv,axiom, % 218.86/219.39 ! [V_A_2,T_b] : % 218.86/219.39 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.39 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ex__in__conv,axiom, % 218.86/219.39 ! [V_A_2,T_b] : % 218.86/219.39 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.39 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_empty__iff,axiom, % 218.86/219.39 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_equals0D,axiom, % 218.86/219.39 ! [V_a_2,T_b,V_A_2] : % 218.86/219.39 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_subset__empty,axiom, % 218.86/219.39 ! [V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.39 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_empty__is__image,axiom, % 218.86/219.39 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.39 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) % 218.86/219.39 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__empty,axiom, % 218.86/219.39 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_image__is__empty,axiom, % 218.86/219.39 ! [V_A_2,V_f_2,T_b,T_c] : % 218.86/219.39 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__empty__left,axiom, % 218.86/219.39 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__empty__right,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__empty,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__empty__left,axiom, % 218.86/219.39 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Int__empty__right,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_disjoint__iff__not__equal,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> ! [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.39 => ! [B_xa] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 218.86/219.39 => B_x != B_xa ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__empty__eq,axiom, % 218.86/219.39 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__UNIV__eq,axiom, % 218.86/219.39 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_empty,axiom, % 218.86/219.39 ! [V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 218.86/219.39 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Pow__not__empty,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Inter__UNIV,axiom, % 218.86/219.39 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Inter__empty,axiom, % 218.86/219.39 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_monoD,axiom, % 218.86/219.39 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 218.86/219.39 ( ( class_Orderings_Oorder(T_c) % 218.86/219.39 & class_Orderings_Oorder(T_b) ) % 218.86/219.39 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_bot__empty__eq,axiom, % 218.86/219.39 ! [V_x_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 218.86/219.39 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_bot__least,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Orderings_Obot(T_a) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_SUP__const,axiom, % 218.86/219.39 ! [V_M_2,T_b,V_A_2,T_c] : % 218.86/219.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.86/219.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UNION__empty__conv_I2_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b,T_c] : % 218.86/219.39 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> ! [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.39 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__constant,axiom, % 218.86/219.39 ! [V_c_2,T_c,T_b,V_A_2] : % 218.86/219.39 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.39 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__empty2,axiom, % 218.86/219.39 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UNION__empty__conv_I1_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b] : % 218.86/219.39 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) % 218.86/219.39 <=> ! [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.39 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INF__const,axiom, % 218.86/219.39 ! [V_M_2,T_b,V_A_2,T_c] : % 218.86/219.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 218.86/219.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__empty,axiom, % 218.86/219.39 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__constant,axiom, % 218.86/219.39 ! [V_c_2,T_c,T_b,V_A_2] : % 218.86/219.39 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.39 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__bot__left,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__bot(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__bot__right,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__bot(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_sup__eq__bot__iff,axiom, % 218.86/219.39 ! [V_y_2,V_x_2,T_b] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__bot(T_b) % 218.86/219.39 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 218.86/219.39 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 218.86/219.39 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__bot__left,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__bot(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__bot__right,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Obounded__lattice__bot(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Inf__UNIV,axiom, % 218.86/219.39 ! [T_b] : % 218.86/219.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.39 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_strict__mono__mono,axiom, % 218.86/219.39 ! [V_f_2,T_b,T_c] : % 218.86/219.39 ( ( class_Orderings_Oorder(T_c) % 218.86/219.39 & class_Orderings_Oorder(T_b) ) % 218.86/219.39 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 218.86/219.39 => c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_atLeastatMost__empty__iff2,axiom, % 218.86/219.39 ! [V_b_2,V_a_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) % 218.86/219.39 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_atLeastatMost__empty__iff,axiom, % 218.86/219.39 ! [V_b_2,V_a_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_atLeastLessThan__empty,axiom, % 218.86/219.39 ! [V_a_2,V_b_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 218.86/219.39 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I11_J,axiom, % 218.86/219.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_subset__Compl__self__eq,axiom, % 218.86/219.39 ! [V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 218.86/219.39 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__disjoint,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Compl__disjoint2,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_greaterThanAtMost__empty,axiom, % 218.86/219.39 ! [V_k_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 218.86/219.39 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Inf__empty,axiom, % 218.86/219.39 ! [T_b] : % 218.86/219.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.39 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Union__disjoint,axiom, % 218.86/219.39 ! [V_A_2,V_C_2,T_b] : % 218.86/219.39 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> ! [B_x] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Pow__bottom,axiom, % 218.86/219.39 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I14_J,axiom, % 218.86/219.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_mono__Un,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.39 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_mono__Int,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.39 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__simps_I3_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__simps_I2_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__extend__simps_I3_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_UN__extend__simps_I2_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__extend__simps_I2_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__extend__simps_I1_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__simps_I1_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__simps_I2_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_mono__sup,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 218.86/219.39 ( ( class_Lattices_Osemilattice__sup(T_c) % 218.86/219.39 & class_Lattices_Osemilattice__sup(T_b) ) % 218.86/219.39 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_A_2),V_B_2)))) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_mono__inf,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 218.86/219.39 ( ( class_Lattices_Osemilattice__inf(T_c) % 218.86/219.39 & class_Lattices_Osemilattice__inf(T_b) ) % 218.86/219.39 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_inf__compl__bot,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_compl__inf__bot,axiom, % 218.86/219.39 ! [V_x,T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_compl__top__eq,axiom, % 218.86/219.39 ! [T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_compl__bot__eq,axiom, % 218.86/219.39 ! [T_a] : % 218.86/219.39 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_disjoint__eq__subset__Compl,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I15_J,axiom, % 218.86/219.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I4_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I2_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I16_J,axiom, % 218.86/219.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_iso__tuple__UNIV__I,axiom, % 218.86/219.39 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__un_I5_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Olinorder(T_b) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__un_I6_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Olinorder(T_b) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_coinduct3__mono__lemma,axiom, % 218.86/219.39 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2) % 218.86/219.39 => c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_f_2)),V_X_2))),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I6_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I1_J,axiom, % 218.86/219.39 ! [V_u_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__int_I10_J,axiom, % 218.86/219.39 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_ivl__disj__un_I1_J,axiom, % 218.86/219.39 ! [V_l_2,T_b] : % 218.86/219.39 ( class_Orderings_Olinorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_INT__simps_I4_J,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_atMost__Int__atLeast,axiom, % 218.86/219.39 ! [V_n_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insertCI,axiom, % 218.86/219.39 ! [V_b_2,V_B_2,V_a_2,T_b] : % 218.86/219.39 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 218.86/219.39 => V_a_2 = V_b_2 ) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insertE,axiom, % 218.86/219.39 ! [V_A_2,V_b_2,V_a_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 218.86/219.39 => ( V_a_2 != V_b_2 % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_DiffE,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.39 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_DiffI,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__insert,axiom, % 218.86/219.39 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__insert2,axiom, % 218.86/219.39 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__Diff__single,axiom, % 218.86/219.39 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__Diff__if,axiom, % 218.86/219.39 ! [V_A_2,V_B_2,V_x_2,T_b] : % 218.86/219.39 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 218.86/219.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) % 218.86/219.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 218.86/219.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__Diff1,axiom, % 218.86/219.39 ! [V_A_2,V_B_2,V_x_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 218.86/219.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_diff__eq__diff__eq,axiom, % 218.86/219.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.39 ( class_Groups_Oab__group__add(T_b) % 218.86/219.39 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 218.86/219.39 => ( V_a_2 = V_b_2 % 218.86/219.39 <=> V_c_2 = V_d_2 ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_minus__apply,axiom, % 218.86/219.39 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 218.86/219.39 ( class_Groups_Ominus(T_b) % 218.86/219.39 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_fun__diff__def,axiom, % 218.86/219.39 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 218.86/219.39 ( class_Groups_Ominus(T_b) % 218.86/219.39 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__code,axiom, % 218.86/219.39 ! [V_x_2,V_A_2,V_y_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 218.86/219.39 <=> ( V_y_2 = V_x_2 % 218.86/219.39 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__idemp,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__commute,axiom, % 218.86/219.39 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__absorb2,axiom, % 218.86/219.39 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__Diff,axiom, % 218.86/219.39 ! [V_A_2,V_a_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.39 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__insert__absorb,axiom, % 218.86/219.39 ! [V_A_2,V_x_2,T_b] : % 218.86/219.39 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_diff__eq__diff__less__eq,axiom, % 218.86/219.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.39 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.39 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 218.86/219.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_single__Diff__lessThan,axiom, % 218.86/219.39 ! [V_k_2,T_b] : % 218.86/219.39 ( class_Orderings_Oorder(T_b) % 218.86/219.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_minus__diff__eq,axiom, % 218.86/219.39 ! [V_b,V_a,T_a] : % 218.86/219.39 ( class_Groups_Oab__group__add(T_a) % 218.86/219.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_DiffD2,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.39 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_DiffD1,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__iff,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_c_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.39 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.39 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__absorb,axiom, % 218.86/219.39 ! [V_A_2,V_a_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.39 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insertI2,axiom, % 218.86/219.39 ! [V_b_2,V_B_2,V_a_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__ident,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,V_x_2,T_b] : % 218.86/219.39 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 218.86/219.39 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2) % 218.86/219.39 <=> V_A_2 = V_B_2 ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__iff,axiom, % 218.86/219.39 ! [V_A_2,V_b_2,V_a_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 218.86/219.39 <=> ( V_a_2 = V_b_2 % 218.86/219.39 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insertI1,axiom, % 218.86/219.39 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__cancel,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__empty,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ). % 218.86/219.39 % 218.86/219.39 fof(fact_empty__Diff,axiom, % 218.86/219.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_singleton__inject,axiom, % 218.86/219.39 ! [V_b_2,V_a_2,T_b] : % 218.86/219.39 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.39 => V_a_2 = V_b_2 ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_doubleton__eq__iff,axiom, % 218.86/219.39 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.39 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.39 <=> ( ( V_a_2 = V_c_2 % 218.86/219.39 & V_b_2 = V_d_2 ) % 218.86/219.39 | ( V_a_2 = V_d_2 % 218.86/219.39 & V_b_2 = V_c_2 ) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_insert__not__empty,axiom, % 218.86/219.39 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_empty__not__insert,axiom, % 218.86/219.39 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_double__diff,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.39 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__mono,axiom, % 218.86/219.39 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 218.86/219.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 218.86/219.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 218.86/219.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Diff__subset,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__Diff,axiom, % 218.86/219.39 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__Diff__cancel2,axiom, % 218.86/219.39 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ). % 218.86/219.39 % 218.86/219.39 fof(fact_Un__Diff__cancel,axiom, % 218.86/219.39 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.86/219.39 % 218.86/219.40 fof(fact_Diff__Int2,axiom, % 218.86/219.40 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__Int__distrib2,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__Diff,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__Int__distrib,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_insert__mono,axiom, % 218.86/219.40 ! [V_a_2,V_D_2,V_C_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__insertI2,axiom, % 218.86/219.40 ! [V_b_2,V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__insertI,axiom, % 218.86/219.40 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__insert,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Un__insert__left,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Un__insert__right,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_insert__inter__insert,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_hoare__derivs_Oinsert,axiom, % 218.86/219.40 ! [V_tsa_2,V_t_2,V_G_2,T_b] : % 218.86/219.40 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 218.86/219.40 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) % 218.86/219.40 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__insert__iff,axiom, % 218.86/219.40 ! [V_B_2,V_x_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 218.86/219.40 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 218.86/219.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_diff__single__insert,axiom, % 218.86/219.40 ! [V_B_2,V_x_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__simps_I6_J,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__extend__simps_I6_J,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INT__simps_I5_J,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INT__extend__simps_I5_J,axiom, % 218.86/219.40 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_diff__eq,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Lattices_Oboolean__algebra(T_a) % 218.86/219.40 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_singletonE,axiom, % 218.86/219.40 ! [V_a_2,V_b_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 218.86/219.40 => V_b_2 = V_a_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_singleton__iff,axiom, % 218.86/219.40 ! [V_a_2,V_b_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 218.86/219.40 <=> V_b_2 = V_a_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_insert__subset,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_x_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__insert,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_x_2,T_b] : % 218.86/219.40 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_insert__image,axiom, % 218.86/219.40 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__UNIV,axiom, % 218.86/219.40 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__insert__left__if1,axiom, % 218.86/219.40 ! [V_B_2,V_C_2,V_a_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__insert__right__if1,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_a_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__insert__left__if0,axiom, % 218.86/219.40 ! [V_B_2,V_C_2,V_a_2,T_b] : % 218.86/219.40 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__insert__right__if0,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_a_2,T_b] : % 218.86/219.40 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__insert__left,axiom, % 218.86/219.40 ! [V_B_2,V_C_2,V_a_2,T_b] : % 218.86/219.40 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) % 218.86/219.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__insert__right,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_a_2,T_b] : % 218.86/219.40 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 218.86/219.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__triv,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__disjoint,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__diff__subset,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__singletonD,axiom, % 218.86/219.40 ! [V_x_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 218.86/219.40 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__subset__conv,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__partition,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_insert__is__Un,axiom, % 218.86/219.40 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Un__Diff__Int,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__Un,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__Int,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__diff,axiom, % 218.86/219.40 ! [V_m_2,V_n_2,V_i_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 218.86/219.40 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastAtMost__singleton_H,axiom, % 218.86/219.40 ! [V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( V_a_2 = V_b_2 % 218.86/219.40 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastAtMost__singleton__iff,axiom, % 218.86/219.40 ! [V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 <=> ( V_a_2 = V_b_2 % 218.86/219.40 & V_b_2 = V_c_2 ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastAtMost__singleton,axiom, % 218.86/219.40 ! [V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Sup__singleton,axiom, % 218.86/219.40 ! [V_a_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Sup__insert,axiom, % 218.86/219.40 ! [V_A_2,V_a_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Compl__eq__Diff__UNIV,axiom, % 218.86/219.40 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Compl__Diff__eq,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__Compl,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Diff__eq,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Inf__singleton,axiom, % 218.86/219.40 ! [V_a_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Inf__insert,axiom, % 218.86/219.40 ! [V_A_2,V_a_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Union__insert,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Un__eq__Union,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Pow__empty,axiom, % 218.86/219.40 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Inter__insert,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Int__eq__Inter,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__insert__distrib,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 218.86/219.40 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__constant__conv,axiom, % 218.86/219.40 ! [V_c_2,T_c,T_b,V_A_2] : % 218.86/219.40 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.40 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__extend__simps_I1_J,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 218.86/219.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) % 218.86/219.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__singleton,axiom, % 218.86/219.40 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__simps_I1_J,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 218.86/219.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INT__insert__distrib,axiom, % 218.86/219.40 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 218.86/219.40 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__insert,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__simps_I7_J,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_UN__extend__simps_I7_J,axiom, % 218.86/219.40 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INT__insert,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ). % 218.86/219.40 % 218.86/219.40 fof(fact_greaterThanLessThan__empty,axiom, % 218.86/219.40 ! [V_k_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 218.86/219.40 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__uminus__greaterThanLessThan,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Sup__binary,axiom, % 218.86/219.40 ! [V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Inf__binary,axiom, % 218.86/219.40 ! [V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__constant,axiom, % 218.86/219.40 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INT__simps_I3_J,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INT__extend__simps_I3_J,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) ) % 218.86/219.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__eq__UN,axiom, % 218.86/219.40 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INT__extend__simps_I4_J,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 218.86/219.40 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 ) % 218.86/219.40 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Pow__insert,axiom, % 218.86/219.40 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__int_I12_J,axiom, % 218.86/219.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__int_I13_J,axiom, % 218.86/219.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I2_J,axiom, % 218.86/219.40 ! [V_u_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__int_I9_J,axiom, % 218.86/219.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_the__elem__eq,axiom, % 218.86/219.40 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__image,axiom, % 218.86/219.40 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 218.86/219.40 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) % 218.86/219.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Inter__subset,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : % 218.86/219.40 ( ! [B_X] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 218.86/219.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I19_J,axiom, % 218.86/219.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I4_J,axiom, % 218.86/219.40 ! [V_u_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I18_J,axiom, % 218.86/219.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I3_J,axiom, % 218.86/219.40 ! [V_u_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_coinduct__set,axiom, % 218.86/219.40 ! [V_X_2,V_a_2,V_f_2,T_b] : % 218.86/219.40 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_def__coinduct__set,axiom, % 218.86/219.40 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 218.86/219.40 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__triv,axiom, % 218.86/219.40 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__irrefl,axiom, % 218.86/219.40 ! [V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__neq__iff,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( V_x_2 != V_y_2 % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_not__less__iff__gr__or__eq,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 218.86/219.40 | V_x_2 = V_y_2 ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__less__linear,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Olinorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 | V_x = V_y % 218.86/219.40 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__antisym__conv3,axiom, % 218.86/219.40 ! [V_x_2,V_y_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> V_x_2 = V_y_2 ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__neqE,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Olinorder(T_a) % 218.86/219.40 => ( V_x != V_y % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__imp__neq,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => V_x != V_y ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__not__sym,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__imp__not__less,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__imp__not__eq,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => V_x != V_y ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__imp__not__eq2,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => V_y != V_x ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__asym_H,axiom, % 218.86/219.40 ! [V_b,V_a,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.40 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I9_J,axiom, % 218.86/219.40 ! [V_a,V_b,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 218.86/219.40 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ord__eq__less__trans,axiom, % 218.86/219.40 ! [V_c,V_b,V_a,T_a] : % 218.86/219.40 ( class_Orderings_Oord(T_a) % 218.86/219.40 => ( V_a = V_b % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I1_J,axiom, % 218.86/219.40 ! [V_c,V_b,V_a,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( V_a = V_b % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ord__less__eq__trans,axiom, % 218.86/219.40 ! [V_c,V_b,V_a,T_a] : % 218.86/219.40 ( class_Orderings_Oord(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.40 => ( V_b = V_c % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I2_J,axiom, % 218.86/219.40 ! [V_c,V_a,V_b,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 218.86/219.40 => ( V_b = V_c % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__trans,axiom, % 218.86/219.40 ! [V_z,V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I10_J,axiom, % 218.86/219.40 ! [V_z,V_x,V_y,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__asym,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__cases,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Olinorder(T_a) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => ( V_x != V_y % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__idem__iff,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 218.86/219.40 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__upd,axiom, % 218.86/219.40 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__same,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__apply,axiom, % 218.86/219.40 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 218.86/219.40 ( ( V_z_2 = V_x_2 % 218.86/219.40 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 218.86/219.40 & ( V_z_2 != V_x_2 % 218.86/219.40 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__twist,axiom, % 218.86/219.40 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 218.86/219.40 ( V_a_2 != V_c_2 % 218.86/219.40 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__other,axiom, % 218.86/219.40 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 218.86/219.40 ( V_z_2 != V_x_2 % 218.86/219.40 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__idem,axiom, % 218.86/219.40 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 218.86/219.40 ( hAPP(V_f_2,V_x_2) = V_y_2 % 218.86/219.40 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lessThan__strict__subset__iff,axiom, % 218.86/219.40 ! [V_n_2,V_m_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fun__upd__def,axiom, % 218.86/219.40 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 218.86/219.40 ( ( V_x_2 = V_a_2 % 218.86/219.40 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 218.86/219.40 & ( V_x_2 != V_a_2 % 218.86/219.40 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastatMost__psubset__iff,axiom, % 218.86/219.40 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2))) % 218.86/219.40 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 218.86/219.40 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 218.86/219.40 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 218.86/219.40 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__fun__def,axiom, % 218.86/219.40 ! [V_g_2,V_f_2,T_b,T_c] : % 218.86/219.40 ( class_Orderings_Oord(T_c) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.86/219.40 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__not__less,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__not__le,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__le__less__linear,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Olinorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.40 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__le,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.40 & V_x_2 != V_y_2 ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__le__not__le,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Opreorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.40 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__le__less,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 | V_x_2 = V_y_2 ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_leI,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Olinorder(T_a) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_not__leE,axiom, % 218.86/219.40 ! [V_x,V_y,T_a] : % 218.86/219.40 ( class_Orderings_Olinorder(T_a) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__antisym__conv1,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> V_x_2 = V_y_2 ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__neq__le__trans,axiom, % 218.86/219.40 ! [V_b,V_a,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( V_a != V_b % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I12_J,axiom, % 218.86/219.40 ! [V_b,V_a,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( V_a != V_b % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_leD,axiom, % 218.86/219.40 ! [V_x,V_y,T_a] : % 218.86/219.40 ( class_Orderings_Olinorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.86/219.40 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__imp__le,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_linorder__antisym__conv2,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 <=> V_x_2 = V_y_2 ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__le__imp__less__or__eq,axiom, % 218.86/219.40 ! [V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 | V_x = V_y ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__le__neq__trans,axiom, % 218.86/219.40 ! [V_b,V_a,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.40 => ( V_a != V_b % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I11_J,axiom, % 218.86/219.40 ! [V_a,V_b,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 218.86/219.40 => ( V_a != V_b % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__less__le__trans,axiom, % 218.86/219.40 ! [V_z,V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I7_J,axiom, % 218.86/219.40 ! [V_z,V_x,V_y,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_order__le__less__trans,axiom, % 218.86/219.40 ! [V_z,V_y,V_x,T_a] : % 218.86/219.40 ( class_Orderings_Opreorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_xt1_I8_J,axiom, % 218.86/219.40 ! [V_z,V_x,V_y,T_a] : % 218.86/219.40 ( class_Orderings_Oorder(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_psubsetD,axiom, % 218.86/219.40 ! [V_c_2,V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_not__psubset__empty,axiom, % 218.86/219.40 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_diff__eq__diff__less,axiom, % 218.86/219.40 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.40 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__supI1,axiom, % 218.86/219.40 ! [V_b,V_a,V_x,T_a] : % 218.86/219.40 ( class_Lattices_Osemilattice__sup(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__supI2,axiom, % 218.86/219.40 ! [V_a,V_b,V_x,T_a] : % 218.86/219.40 ( class_Lattices_Osemilattice__sup(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__infI1,axiom, % 218.86/219.40 ! [V_b,V_x,V_a,T_a] : % 218.86/219.40 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__infI2,axiom, % 218.86/219.40 ! [V_a,V_x,V_b,T_a] : % 218.86/219.40 ( class_Lattices_Osemilattice__inf(T_a) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_neg__less__iff__less,axiom, % 218.86/219.40 ! [V_a_2,V_b_2,T_b] : % 218.86/219.40 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_minus__less__iff,axiom, % 218.86/219.40 ! [V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__minus__iff,axiom, % 218.86/219.40 ! [V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_psubset__eq,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 & V_A_2 != V_B_2 ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__iff__psubset__eq,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 | V_A_2 = V_B_2 ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_psubset__imp__subset,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_psubset__subset__trans,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__psubset__trans,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastLessThan__eq__iff,axiom, % 218.86/219.40 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 218.86/219.40 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 218.86/219.40 <=> ( V_a_2 = V_c_2 % 218.86/219.40 & V_b_2 = V_d_2 ) ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 218.86/219.40 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 218.86/219.40 => V_a_2 = V_c_2 ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 218.86/219.40 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 218.86/219.40 => V_b_2 = V_d_2 ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__Sup__iff,axiom, % 218.86/219.40 ! [V_S_2,V_a_2,T_b] : % 218.86/219.40 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 & class_Orderings_Olinorder(T_b) ) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 218.86/219.40 <=> ? [B_x] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_Inf__less__iff,axiom, % 218.86/219.40 ! [V_a_2,V_S_2,T_b] : % 218.86/219.40 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 & class_Orderings_Olinorder(T_b) ) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 218.86/219.40 <=> ? [B_x] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_less__SUP__iff,axiom, % 218.86/219.40 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 218.86/219.40 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 & class_Orderings_Olinorder(T_b) ) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2))) % 218.86/219.40 <=> ? [B_x] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_INF__less__iff,axiom, % 218.86/219.40 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 218.86/219.40 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 & class_Orderings_Olinorder(T_b) ) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2)) % 218.86/219.40 <=> ? [B_x] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_gfp__upperbound,axiom, % 218.86/219.40 ! [V_f_2,V_X_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_strict__mono__less,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 218.86/219.40 ( ( class_Orderings_Oorder(T_c) % 218.86/219.40 & class_Orderings_Olinorder(T_b) ) % 218.86/219.40 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_strict__monoD,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : % 218.86/219.40 ( ( class_Orderings_Oorder(T_c) % 218.86/219.40 & class_Orderings_Oorder(T_b) ) % 218.86/219.40 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_not__less__Least,axiom, % 218.86/219.40 ! [V_P_2,V_k_2,T_b] : % 218.86/219.40 ( class_Orderings_Owellorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_P_2))) % 218.86/219.40 => ~ hBOOL(hAPP(V_P_2,V_k_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_def__gfp__unfold,axiom, % 218.86/219.40 ! [V_f_2,V_A_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_gfp__unfold,axiom, % 218.86/219.40 ! [V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastatMost__empty,axiom, % 218.86/219.40 ! [V_a_2,V_b_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 218.86/219.40 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastLessThan__empty__iff2,axiom, % 218.86/219.40 ! [V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) % 218.86/219.40 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_atLeastLessThan__empty__iff,axiom, % 218.86/219.40 ! [V_b_2,V_a_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lessThan__iff,axiom, % 218.86/219.40 ! [V_k_2,V_i_2,T_b] : % 218.86/219.40 ( class_Orderings_Oord(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 218.86/219.40 ! [V_l_2,V_k_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) % 218.86/219.40 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_greaterThanAtMost__empty__iff,axiom, % 218.86/219.40 ! [V_l_2,V_k_2,T_b] : % 218.86/219.40 ( class_Orderings_Oorder(T_b) % 218.86/219.40 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_greaterThan__iff,axiom, % 218.86/219.40 ! [V_k_2,V_i_2,T_b] : % 218.86/219.40 ( class_Orderings_Oord(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_weak__coinduct,axiom, % 218.86/219.40 ! [V_f_2,V_X_2,V_a_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,V_X_2))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_gfp__lemma3,axiom, % 218.86/219.40 ! [V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_gfp__lemma2,axiom, % 218.86/219.40 ! [V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_weak__coinduct__image,axiom, % 218.86/219.40 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)),hAPP(V_f_2,hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_g_2,V_a_2)),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_c,tc_HOL_Obool),V_f_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_gfp__fun__UnI2,axiom, % 218.86/219.40 ! [V_X_2,V_a_2,V_f_2,T_b] : % 218.86/219.40 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I15_J,axiom, % 218.86/219.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I16_J,axiom, % 218.86/219.40 ! [V_u_2,V_m_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_def__coinduct,axiom, % 218.86/219.40 ! [V_X_2,V_f_2,V_A_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),V_A_2)))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_coinduct__lemma,axiom, % 218.86/219.40 ! [V_f_2,V_X_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_coinduct,axiom, % 218.86/219.40 ! [V_X_2,V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I7_J,axiom, % 218.86/219.40 ! [V_u_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_ivl__disj__un_I12_J,axiom, % 218.86/219.40 ! [V_u_2,V_l_2,T_b] : % 218.86/219.40 ( class_Orderings_Olinorder(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_psubset__insert__iff,axiom, % 218.86/219.40 ! [V_B_2,V_x_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) % 218.86/219.40 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 218.86/219.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 218.86/219.40 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) ) % 218.86/219.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_coinduct3,axiom, % 218.86/219.40 ! [V_X_2,V_a_2,V_f_2,T_b] : % 218.86/219.40 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_def__coinduct3,axiom, % 218.86/219.40 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] : % 218.86/219.40 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),V_A_2))))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_coinduct3__lemma,axiom, % 218.86/219.40 ! [V_f_2,V_X_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_the__elem__def,axiom, % 218.86/219.40 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 218.86/219.40 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2) % 218.86/219.40 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_insert__partition,axiom, % 218.86/219.40 ! [V_F_2,V_x_2,T_b] : % 218.86/219.40 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 218.86/219.40 => ( ! [B_x] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 218.86/219.40 => ! [B_xa] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))) % 218.86/219.40 => ( B_x != B_xa % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 218.86/219.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_def__lfp__induct,axiom, % 218.86/219.40 ! [V_P_2,V_f_2,V_A_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_P_2))),V_P_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_P_2)) ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lfp__induct,axiom, % 218.86/219.40 ! [V_P_2,V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2))),V_P_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_P_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__Un,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 218.86/219.40 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__empty,axiom, % 218.86/219.40 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__uminus,axiom, % 218.86/219.40 ! [V_A_2,T_b] : % 218.86/219.40 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.40 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_psubset__trans,axiom, % 218.86/219.40 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__fun,axiom, % 218.86/219.40 ! [T_d,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__def,axiom, % 218.86/219.40 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 <=> ! [B_x] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.40 => ! [B_xa] : % 218.86/219.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 218.86/219.40 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 218.86/219.40 => B_x = B_xa ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__id2,axiom, % 218.86/219.40 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lfp__const,axiom, % 218.86/219.40 ! [V_t_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__contraD,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 => ( V_x_2 != V_y_2 % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 218.86/219.40 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__iff,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 218.86/219.40 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 218.86/219.40 <=> V_x_2 = V_y_2 ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__onD,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 218.86/219.40 => V_x_2 = V_y_2 ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_subset__inj__on,axiom, % 218.86/219.40 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_injD,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 218.86/219.40 => V_x_2 = V_y_2 ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__eq,axiom, % 218.86/219.40 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 218.86/219.40 <=> V_x_2 = V_y_2 ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__strict__subset,axiom, % 218.86/219.40 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__Int,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 218.86/219.40 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__diff,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 218.86/219.40 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 218.86/219.40 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_strict__mono__imp__inj__on,axiom, % 218.86/219.40 ! [V_A_2,V_f_2,T_b,T_c] : % 218.86/219.40 ( ( class_Orderings_Oorder(T_c) % 218.86/219.40 & class_Orderings_Olinorder(T_b) ) % 218.86/219.40 => ( c_Orderings_Oorder__class_Ostrict__mono(T_b,T_c,V_f_2) % 218.86/219.40 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lfp__lowerbound,axiom, % 218.86/219.40 ! [V_A_2,V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2)) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_A_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__image__eq__iff,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 218.86/219.40 <=> V_A_2 = V_B_2 ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__Un__image__eq__iff,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.40 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) % 218.86/219.40 <=> V_A_2 = V_B_2 ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lfp__unfold,axiom, % 218.86/219.40 ! [V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_def__lfp__unfold,axiom, % 218.86/219.40 ! [V_f_2,V_h_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_range__ex1__eq,axiom, % 218.86/219.40 ! [V_b_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 218.86/219.40 <=> ? [B_x] : % 218.86/219.40 ( V_b_2 = hAPP(V_f_2,B_x) % 218.86/219.40 & ! [B_y] : % 218.86/219.40 ( V_b_2 = hAPP(V_f_2,B_y) % 218.86/219.40 => B_y = B_x ) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__image__mem__iff,axiom, % 218.86/219.40 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__image__subset__iff,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) % 218.86/219.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__image__Int,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__Int,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__image__set__diff,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 218.86/219.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_image__set__diff,axiom, % 218.86/219.40 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__fun__updI,axiom, % 218.86/219.40 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.40 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__singleton,axiom, % 218.86/219.40 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lfp__lemma3,axiom, % 218.86/219.40 ! [V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_lfp__lemma2,axiom, % 218.86/219.40 ! [V_f_2,T_b] : % 218.86/219.40 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.40 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__image__Compl__subset,axiom, % 218.86/219.40 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__insert,axiom, % 218.86/219.40 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 218.86/219.40 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.40 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_inj__on__iff__surj,axiom, % 218.86/219.40 ! [V_A_H_2,T_c,T_b,V_A_2] : % 218.86/219.40 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.40 => ( ? [B_f] : % 218.86/219.40 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 218.86/219.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) ) % 218.86/219.40 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 218.86/219.40 % 218.86/219.40 fof(fact_enum__the__def,axiom, % 218.86/219.40 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ). % 218.86/219.40 % 218.86/219.40 fof(fact_flat__lub__def,axiom, % 218.86/219.40 ! [V_b_2,V_A_2,T_b] : % 218.86/219.40 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 218.86/219.41 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 218.86/219.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) % 218.86/219.41 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 218.86/219.41 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 218.86/219.41 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)) % 218.86/219.41 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 218.86/219.41 | ? [B_x,B_y] : % 218.86/219.41 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 218.86/219.41 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 218.86/219.41 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_image__INT,axiom, % 218.86/219.41 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 218.86/219.41 => ( ! [B_x] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) ) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__inv__into__into,axiom, % 218.86/219.41 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__vimage__singleton,axiom, % 218.86/219.41 ! [V_a_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__on__Inter,axiom, % 218.86/219.41 ! [V_f_2,T_c,T_b,V_S_2] : % 218.86/219.41 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 218.86/219.41 => ( ! [B_A] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimageI,axiom, % 218.86/219.41 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 218.86/219.41 ( hAPP(V_f_2,V_a_2) = V_b_2 % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__ident,axiom, % 218.86/219.41 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__code,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 218.86/219.41 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__eq,axiom, % 218.86/219.41 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 218.86/219.41 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimageD,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimageI2,axiom, % 218.86/219.41 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__empty,axiom, % 218.86/219.41 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__mono,axiom, % 218.86/219.41 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__UNIV,axiom, % 218.86/219.41 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__Un,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__Int,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__Diff,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__Compl,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__UN,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__INT,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_image__vimage__subset,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_surj__image__vimage__eq,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_b,T_c] : % 218.86/219.41 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__Union,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__singleton__eq,axiom, % 218.86/219.41 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 218.86/219.41 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__insert,axiom, % 218.86/219.41 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__subsetD,axiom, % 218.86/219.41 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 218.86/219.41 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_image__vimage__eq,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__vimage__image__eq,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__const,axiom, % 218.86/219.41 ! [T_c,V_A_2,V_c_2,T_b] : % 218.86/219.41 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.41 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__eq__UN,axiom, % 218.86/219.41 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__inv__into__f__f,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__inv__into__f__eq,axiom, % 218.86/219.41 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__inv__f__f,axiom, % 218.86/219.41 ! [V_x_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__inv__into__onto,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__on__the__inv__into,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__subsetI,axiom, % 218.86/219.41 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__inv__into__def,axiom, % 218.86/219.41 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__if,axiom, % 218.86/219.41 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 218.86/219.41 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.41 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) % 218.86/219.41 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) ) % 218.86/219.41 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 218.86/219.41 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) ) % 218.86/219.41 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_f__the__inv__into__f,axiom, % 218.86/219.41 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.41 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_order__fun_I2_J,axiom, % 218.86/219.41 ! [V_g_2,V_f_2,T_b,T_c] : % 218.86/219.41 ( ( class_Orderings_Oorder(T_c) % 218.86/219.41 & class_Enum_Oenum(T_b) ) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.86/219.41 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 218.86/219.41 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__on__INTER,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 218.86/219.41 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( ! [B_i] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 218.86/219.41 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 218.86/219.41 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem__remove,axiom, % 218.86/219.41 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__eq__trivial,axiom, % 218.86/219.41 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__sym__eq__trivial,axiom, % 218.86/219.41 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 218.86/219.41 % 218.86/219.41 fof(fact_Diff1__fold__graph,axiom, % 218.86/219.41 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_rangeE,axiom, % 218.86/219.41 ! [V_f_2,T_c,V_b_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 218.86/219.41 => ~ ! [B_x] : V_b_2 != hAPP(V_f_2,B_x) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_mk__less__def,axiom, % 218.86/219.41 ! [V_y_2,V_x_2,V_R_2,T_b] : % 218.86/219.41 ( c_Partial__Function_Omk__less(T_b,V_R_2,V_x_2,V_y_2) % 218.86/219.41 <=> ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 218.86/219.41 & ~ hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_exists__code,axiom, % 218.86/219.41 ! [V_P_2,T_b] : % 218.86/219.41 ( class_Enum_Oenum(T_b) % 218.86/219.41 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 218.86/219.41 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_enum__ex,axiom, % 218.86/219.41 ! [V_P_2,T_b] : % 218.86/219.41 ( class_Enum_Oenum(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) % 218.86/219.41 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 218.86/219.41 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 218.86/219.41 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 218.86/219.41 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 218.86/219.41 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__graph_Oequations_I1_J,axiom, % 218.86/219.41 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__graph_OemptyI,axiom, % 218.86/219.41 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_empty__fold__graphE,axiom, % 218.86/219.41 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) % 218.86/219.41 => V_x_2 = V_z_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem__insert,axiom, % 218.86/219.41 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem__sup,axiom, % 218.86/219.41 ! [T_b] : % 218.86/219.41 ( class_Lattices_Osemilattice__sup(T_b) % 218.86/219.41 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem__inf,axiom, % 218.86/219.41 ! [T_b] : % 218.86/219.41 ( class_Lattices_Osemilattice__inf(T_b) % 218.86/219.41 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__graph_OinsertI,axiom, % 218.86/219.41 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 218.86/219.41 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold1Set_Ointros,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__graph__permute__diff,axiom, % 218.86/219.41 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 218.86/219.41 ( class_Groups_Oab__semigroup__mult(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__subset__eq,axiom, % 218.86/219.41 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) % 218.86/219.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_psubset__imp__ex__mem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.41 => ? [B_b] : hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_the__inv__into__comp,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 218.86/219.41 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 218.86/219.41 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_override__on__def,axiom, % 218.86/219.41 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 218.86/219.41 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) % 218.86/219.41 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__inter__cong,axiom, % 218.86/219.41 ! [V_y_2,T_c,V_g_2,V_f_2,V_S_2,T_b] : % 218.86/219.41 ( ! [B_w] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_w),V_S_2)) % 218.86/219.41 => hAPP(V_f_2,B_w) = hAPP(V_g_2,B_w) ) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_y_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_g_2),V_y_2)),V_S_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one_Osingleton,axiom, % 218.86/219.41 ! [V_x_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_K__record__comp,axiom, % 218.86/219.41 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ). % 218.86/219.41 % 218.86/219.41 fof(fact_o__eq__dest__lhs,axiom, % 218.86/219.41 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 218.86/219.41 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 218.86/219.41 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_times_Oidem,axiom, % 218.86/219.41 ! [V_a,T_a] : % 218.86/219.41 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 218.86/219.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_mult__idem,axiom, % 218.86/219.41 ! [V_x,T_a] : % 218.86/219.41 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 218.86/219.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_mult__left__idem,axiom, % 218.86/219.41 ! [V_b,V_a,T_a] : % 218.86/219.41 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 218.86/219.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 218.86/219.41 ! [V_c,V_b,V_a,T_a] : % 218.86/219.41 ( class_Groups_Oab__semigroup__mult(T_a) % 218.86/219.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_o__def,axiom, % 218.86/219.41 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_o__assoc,axiom, % 218.86/219.41 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ). % 218.86/219.41 % 218.86/219.41 fof(fact_o__apply,axiom, % 218.86/219.41 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_o__eq__dest,axiom, % 218.86/219.41 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 218.86/219.41 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 218.86/219.41 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_o__eq__elim,axiom, % 218.86/219.41 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 218.86/219.41 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2) % 218.86/219.41 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__comp__iff,axiom, % 218.86/219.41 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 218.86/219.41 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 218.86/219.41 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__trans,axiom, % 218.86/219.41 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 218.86/219.41 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 218.86/219.41 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__comp,axiom, % 218.86/219.41 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 218.86/219.41 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__comp__iff2,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2)) % 218.86/219.41 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 218.86/219.41 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_image__compose,axiom, % 218.86/219.41 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__on__imageI2,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__empty2,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__empty1,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 218.86/219.41 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__upd__comp,axiom, % 218.86/219.41 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_vimage__compose,axiom, % 218.86/219.41 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__imp__inj__on,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 218.86/219.41 ! [V_x_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__the__inv__into,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 218.86/219.41 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fun__left__comm__idem,axiom, % 218.86/219.41 ! [T_b] : % 218.86/219.41 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 218.86/219.41 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_comp__surj,axiom, % 218.86/219.41 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 218.86/219.41 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 218.86/219.41 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_UN__o,axiom, % 218.86/219.41 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__comp,axiom, % 218.86/219.41 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 218.86/219.41 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__on__imageI,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2) % 218.86/219.41 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_comp__inj__on,axiom, % 218.86/219.41 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_comp__inj__on__iff,axiom, % 218.86/219.41 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) % 218.86/219.41 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__subset,axiom, % 218.86/219.41 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.41 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 218.86/219.41 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__imp__surj,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__is__surj,axiom, % 218.86/219.41 ! [V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__is__inj,axiom, % 218.86/219.41 ! [V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inj__on__imp__bij__betw,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__def,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 218.86/219.41 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.41 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold1Set__nonempty,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 218.86/219.41 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_empty__fold1SetE,axiom, % 218.86/219.41 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__combine,axiom, % 218.86/219.41 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 218.86/219.41 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 218.86/219.41 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__Disj__Un,axiom, % 218.86/219.41 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 218.86/219.41 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 218.86/219.41 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 218.86/219.41 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 218.86/219.41 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__def,axiom, % 218.86/219.41 ! [V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bijI,axiom, % 218.86/219.41 ! [V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 218.86/219.41 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_override__on__apply__in,axiom, % 218.86/219.41 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_override__on__apply__notin,axiom, % 218.86/219.41 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 218.86/219.41 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__image__Compl__eq,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_override__on__emptyset,axiom, % 218.86/219.41 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__graph__insert__swap,axiom, % 218.86/219.41 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 218.86/219.41 ( class_Groups_Oab__semigroup__mult(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__image__INT,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold1Set__sing,axiom, % 218.86/219.41 ! [V_b_2,V_a_2,V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2)) % 218.86/219.41 <=> V_a_2 = V_b_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_minus__mult__right,axiom, % 218.86/219.41 ! [V_b,V_a,T_a] : % 218.86/219.41 ( class_Rings_Oring(T_a) % 218.86/219.41 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_minus__mult__left,axiom, % 218.86/219.41 ! [V_b,V_a,T_a] : % 218.86/219.41 ( class_Rings_Oring(T_a) % 218.86/219.41 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_minus__mult__commute,axiom, % 218.86/219.41 ! [V_b,V_a,T_a] : % 218.86/219.41 ( class_Rings_Oring(T_a) % 218.86/219.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_minus__mult__minus,axiom, % 218.86/219.41 ! [V_b,V_a,T_a] : % 218.86/219.41 ( class_Rings_Oring(T_a) % 218.86/219.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_square__eq__iff,axiom, % 218.86/219.41 ! [V_b_2,V_a_2,T_b] : % 218.86/219.41 ( class_Rings_Oidom(T_b) % 218.86/219.41 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2) % 218.86/219.41 <=> ( V_a_2 = V_b_2 % 218.86/219.41 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one_Oremove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 218.86/219.41 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold1Set_Oequations,axiom, % 218.86/219.41 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2)) % 218.86/219.41 <=> ? [B_a,B_A] : % 218.86/219.41 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 218.86/219.41 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 218.86/219.41 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_insert__fold1SetE,axiom, % 218.86/219.41 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2)) % 218.86/219.41 => ~ ! [B_a,B_A] : % 218.86/219.41 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite_OemptyI,axiom, % 218.86/219.41 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite_OinsertI,axiom, % 218.86/219.41 ! [V_a_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__imageI,axiom, % 218.86/219.41 ! [V_h_2,T_c,V_F_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Int,axiom, % 218.86/219.41 ! [V_G_2,V_F_2,T_b] : % 218.86/219.41 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.41 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Diff,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Inter,axiom, % 218.86/219.41 ! [V_M_2,T_b] : % 218.86/219.41 ( ? [B_x] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 218.86/219.41 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__INT,axiom, % 218.86/219.41 ! [V_A_2,T_c,V_I_2,T_b] : % 218.86/219.41 ( ? [B_x] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 218.86/219.41 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Pow__iff,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__code,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( class_Finite__Set_Ofinite(T_b) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( class_Finite__Set_Ofinite(T_b) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__UnionD,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Prod__UNIV,axiom, % 218.86/219.41 ! [T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Plus__UNIV__iff,axiom, % 218.86/219.41 ! [T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)))) % 218.86/219.41 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.41 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__option__UNIV,axiom, % 218.86/219.41 ! [T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool)))) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite_Oequations_I1_J,axiom, % 218.86/219.41 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__insert,axiom, % 218.86/219.41 ! [V_A_2,V_a_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__fun__UNIVD2,axiom, % 218.86/219.41 ! [T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__subset,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_rev__finite__subset,axiom, % 218.86/219.41 ! [V_A_2,V_B_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__UNIV,axiom, % 218.86/219.41 ! [T_b] : % 218.86/219.41 ( class_Finite__Set_Ofinite(T_b) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Un,axiom, % 218.86/219.41 ! [V_G_2,V_F_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) % 218.86/219.41 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.41 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__UnI,axiom, % 218.86/219.41 ! [V_G_2,V_F_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Diff2,axiom, % 218.86/219.41 ! [V_A_2,V_B_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__UN,axiom, % 218.86/219.41 ! [V_B_2,T_c,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.41 <=> ! [B_x] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_bij__betw__finite,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__graph__imp__finite,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__surj,axiom, % 218.86/219.41 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Diff__insert,axiom, % 218.86/219.41 ! [V_B_2,V_a_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)))) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__imageD,axiom, % 218.86/219.41 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 218.86/219.41 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__compl,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__range__imageI,axiom, % 218.86/219.41 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_linorder__neqE__linordered__idom,axiom, % 218.86/219.41 ! [V_y,V_x,T_a] : % 218.86/219.41 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.41 => ( V_x != V_y % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__surj__inj,axiom, % 218.86/219.41 ! [V_f_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2))) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_endo__inj__surj,axiom, % 218.86/219.41 ! [V_f_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2)) % 218.86/219.41 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__UNIV__surj__inj,axiom, % 218.86/219.41 ! [V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.41 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__UNIV__inj__surj,axiom, % 218.86/219.41 ! [V_f_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.41 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__vimageD,axiom, % 218.86/219.41 ! [V_F_2,V_h_2,T_c,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 218.86/219.41 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__vimageI,axiom, % 218.86/219.41 ! [V_h_2,T_c,V_F_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.41 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__vimage__iff,axiom, % 218.86/219.41 ! [V_F_2,V_h_2,T_c,T_b] : % 218.86/219.41 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 218.86/219.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one_Oinsert,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one_Oinsert__remove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 218.86/219.41 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one_Ounion__inter,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one_Ounion__disjoint,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Oremove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image__simple_Oremove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image_Oreindex,axiom, % 218.86/219.41 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 218.86/219.41 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ounion,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Oinsert__remove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Oremove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 218.86/219.41 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 218.86/219.41 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ocommute__comp,axiom, % 218.86/219.41 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ocommute__left__comp,axiom, % 218.86/219.41 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image__simple_Oempty,axiom, % 218.86/219.41 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.41 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Osingleton,axiom, % 218.86/219.41 ! [V_x_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image_Odistrib,axiom, % 218.86/219.41 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 218.86/219.41 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ocommute__comp_H_H,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ocommute__left__comp_H,axiom, % 218.86/219.41 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ocommute__comp_H,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_sup__Inf__absorb,axiom, % 218.86/219.41 ! [V_a_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Oin__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin__Inf,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Oinsert__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Osubset__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Ounion__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image__simple_Oinsert,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image__simple_Ounion__inter,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.41 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Oinsert,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Oinsert__remove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 218.86/219.41 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Ounion__inter,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Oinsert,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding_Ounion__inter,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Oclosed,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__Union,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 218.86/219.41 => ( ! [B_M] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 218.86/219.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Oremove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 218.86/219.41 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__idem_Ounion__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__idem_Oinsert__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one_Oclosed,axiom, % 218.86/219.41 ! [V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__idem_Oin__comp__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Osingleton,axiom, % 218.86/219.41 ! [V_x_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__idem_Oidem__left__comp,axiom, % 218.86/219.41 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__idem_Oidem__comp,axiom, % 218.86/219.41 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 218.86/219.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Oin__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_inf__Sup__absorb,axiom, % 218.86/219.41 ! [V_a_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin__Sup,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Oinsert__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Osubset__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Ounion__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__le__Sup,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Oinsert,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Oinsert__remove,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 218.86/219.41 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Ounion__inter,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Oclosed,axiom, % 218.86/219.41 ! [V_A_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.41 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Inf__fin_Ohom__commute,axiom, % 218.86/219.41 ! [V_N_2,V_h_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.41 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_Sup__fin_Ohom__commute,axiom, % 218.86/219.41 ! [V_N_2,V_h_2,T_b] : % 218.86/219.41 ( class_Lattices_Olattice(T_b) % 218.86/219.41 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.41 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__empty__induct,axiom, % 218.86/219.41 ! [V_P_2,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(V_P_2,V_A_2)) % 218.86/219.41 => ( ! [B_a,B_A] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 218.86/219.41 => ( hBOOL(hAPP(V_P_2,B_A)) % 218.86/219.41 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) % 218.86/219.41 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one__idem_Ounion__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__subset__induct,axiom, % 218.86/219.41 ! [V_P_2,V_A_2,V_F_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.41 => ( ! [B_a,B_F] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 218.86/219.41 => ( hBOOL(hAPP(V_P_2,B_F)) % 218.86/219.41 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 218.86/219.41 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one__idem_Osubset__idem,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one__idem_Oidem,axiom, % 218.86/219.41 ! [V_x_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 218.86/219.41 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one__idem_Oin__idem,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_image__eq__fold__image,axiom, % 218.86/219.41 ! [V_f_2,T_c,V_A_2,T_b] : % 218.86/219.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold1__Un,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,T_b] : % 218.86/219.41 ( class_Groups_Oab__semigroup__mult(T_b) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.41 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__one__idem_Ohom__commute,axiom, % 218.86/219.41 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 218.86/219.41 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(V_f_2,B_x),B_y)) = hAPP(hAPP(V_f_2,hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.41 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 218.86/219.41 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.41 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.41 => ( ! [B_x] : % 218.86/219.41 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.41 => hAPP(V_g_2,B_x) = V_z_2 ) % 218.86/219.41 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold1__insert,axiom, % 218.86/219.41 ! [V_x_2,V_A_2,T_b] : % 218.86/219.41 ( class_Groups_Oab__semigroup__mult(T_b) % 218.86/219.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.41 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_fold__image__reindex,axiom, % 218.86/219.41 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 218.86/219.41 ( class_Groups_Oab__semigroup__mult(T_d) % 218.86/219.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.41 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 218.86/219.41 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ). % 218.86/219.41 % 218.86/219.41 fof(fact_finite__UN__I,axiom, % 218.86/219.41 ! [V_B_2,T_c,V_A_2,T_b] : % 218.86/219.42 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( ! [B_a] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 218.86/219.42 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 218.86/219.42 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold__image__empty,axiom, % 218.86/219.42 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold1__singleton__def,axiom, % 218.86/219.42 ! [V_a_2,V_f_2,T_b,V_g_2] : % 218.86/219.42 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 218.86/219.42 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold1__singleton,axiom, % 218.86/219.42 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ). % 218.86/219.42 % 218.86/219.42 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 218.86/219.42 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.42 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_folding__image_Oeq__fold,axiom, % 218.86/219.42 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.42 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_folding__one_Oeq__fold,axiom, % 218.86/219.42 ! [V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.42 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold1__def,axiom, % 218.86/219.42 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_Sup__fin_OF__eq,axiom, % 218.86/219.42 ! [V_A_2,T_b] : % 218.86/219.42 ( class_Lattices_Olattice(T_b) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_Inf__fin_OF__eq,axiom, % 218.86/219.42 ! [V_A_2,T_b] : % 218.86/219.42 ( class_Lattices_Olattice(T_b) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold__image__insert,axiom, % 218.86/219.42 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Oab__semigroup__mult(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold1__belowI,axiom, % 218.86/219.42 ! [V_a_2,V_A_2,T_b] : % 218.86/219.42 ( class_Lattices_Osemilattice__inf(T_b) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_below__fold1__iff,axiom, % 218.86/219.42 ! [V_x_2,V_A_2,T_b] : % 218.86/219.42 ( class_Lattices_Osemilattice__inf(T_b) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2))) % 218.86/219.42 <=> ! [B_x] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold1__insert__idem,axiom, % 218.86/219.42 ! [V_x_2,V_A_2,T_b] : % 218.86/219.42 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 218.86/219.42 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold1__Un2,axiom, % 218.86/219.42 ! [V_B_2,V_A_2,T_b] : % 218.86/219.42 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_semilattice__big_OF__eq,axiom, % 218.86/219.42 ! [V_A_2,V_F_2,V_f_2,T_b] : % 218.86/219.42 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__monoid__big_OF__eq,axiom, % 218.86/219.42 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 218.86/219.42 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.42 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) % 218.86/219.42 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.42 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold1__in,axiom, % 218.86/219.42 ! [V_A_2,T_b] : % 218.86/219.42 ( class_Groups_Oab__semigroup__mult(T_b) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_hom__fold1__commute,axiom, % 218.86/219.42 ! [V_N_2,V_h_2,T_b] : % 218.86/219.42 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 218.86/219.42 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.42 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold__Un__disjoint,axiom, % 218.86/219.42 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__diff1,axiom, % 218.86/219.42 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 218.86/219.42 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__diff1__ring,axiom, % 218.86/219.42 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Rings_Oring(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_one__reorient,axiom, % 218.86/219.42 ! [V_x_2,T_b] : % 218.86/219.42 ( class_Groups_Oone(T_b) % 218.86/219.42 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 218.86/219.42 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__commute,axiom, % 218.86/219.42 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__diff__nat__ivl,axiom, % 218.86/219.42 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_mult__1__left,axiom, % 218.86/219.42 ! [V_a,T_a] : % 218.86/219.42 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_mult__1,axiom, % 218.86/219.42 ! [V_a,T_a] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__mult(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_mult__1__right,axiom, % 218.86/219.42 ! [V_a,T_a] : % 218.86/219.42 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_mult_Ocomm__neutral,axiom, % 218.86/219.42 ! [V_a,T_a] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__mult(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__right__distrib,axiom, % 218.86/219.42 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 218.86/219.42 ( class_Rings_Osemiring__0(T_b) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__left__distrib,axiom, % 218.86/219.42 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( class_Rings_Osemiring__0(T_b) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__product,axiom, % 218.86/219.42 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( class_Rings_Osemiring__0(T_b) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__subtractf,axiom, % 218.86/219.42 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_b) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__negf,axiom, % 218.86/219.42 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_b) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__1__mult,axiom, % 218.86/219.42 ! [V_n,V_m,T_a] : % 218.86/219.42 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_square__eq__1__iff,axiom, % 218.86/219.42 ! [V_x_2,T_b] : % 218.86/219.42 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 218.86/219.42 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 218.86/219.42 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__diff__nat,axiom, % 218.86/219.42 ! [V_f_2,V_A_2,V_B_2,T_b] : % 218.86/219.42 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__reindex,axiom, % 218.86/219.42 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_d) % 218.86/219.42 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold__image__distrib,axiom, % 218.86/219.42 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__diff1__nat,axiom, % 218.86/219.42 ! [V_f_2,V_A_2,V_a_2,T_b] : % 218.86/219.42 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 218.86/219.42 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__diff,axiom, % 218.86/219.42 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum_Oreindex,axiom, % 218.86/219.42 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__monoid__big_Oinfinite,axiom, % 218.86/219.42 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 218.86/219.42 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 218.86/219.42 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold__image__Un__Int,axiom, % 218.86/219.42 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 218.86/219.42 ! [V_x,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__ring__1(T_a) % 218.86/219.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_fold__image__Un__one,axiom, % 218.86/219.42 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 218.86/219.42 => ( ! [B_x] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 218.86/219.42 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 218.86/219.42 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 218.86/219.42 ! [V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 218.86/219.42 ! [V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__strict__mono,axiom, % 218.86/219.42 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => ( ! [B_x] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum_Oremove,axiom, % 218.86/219.42 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__diff1_H,axiom, % 218.86/219.42 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__atLeastLessThan,axiom, % 218.86/219.42 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__add__nat__ivl,axiom, % 218.86/219.42 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__ub__add__nat,axiom, % 218.86/219.42 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 218.86/219.42 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 218.86/219.42 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__head,axiom, % 218.86/219.42 ! [V_P_2,V_n_2,V_m_2,T_b] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 218.86/219.42 ! [V_N_2] : % 218.86/219.42 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 218.86/219.42 <=> ? [B_m] : % 218.86/219.42 ! [B_x] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_crossproduct__eq,axiom, % 218.86/219.42 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 218.86/219.42 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2)) % 218.86/219.42 <=> ( V_w_2 = V_x_2 % 218.86/219.42 | V_y_2 = V_z_2 ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 218.86/219.42 ! [V_b,V_m,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_crossproduct__noteq,axiom, % 218.86/219.42 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.42 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 218.86/219.42 => ( ( V_a_2 != V_b_2 % 218.86/219.42 & V_c_2 != V_d_2 ) % 218.86/219.42 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 218.86/219.42 ! [V_z,V_y,V_x,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_image__add__atLeastLessThan,axiom, % 218.86/219.42 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_atLeastLessThan__add__Un,axiom, % 218.86/219.42 ! [V_k_2,V_j_2,V_i_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 218.86/219.42 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__right__imp__eq,axiom, % 218.86/219.42 ! [V_c,V_a,V_b,T_a] : % 218.86/219.42 ( class_Groups_Ocancel__semigroup__add(T_a) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) % 218.86/219.42 => V_b = V_c ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__imp__eq,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) % 218.86/219.42 => V_b = V_c ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__left__imp__eq,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ocancel__semigroup__add(T_a) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) % 218.86/219.42 => V_b = V_c ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__right__cancel,axiom, % 218.86/219.42 ! [V_c_2,V_a_2,V_b_2,T_b] : % 218.86/219.42 ( class_Groups_Ocancel__semigroup__add(T_b) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2) % 218.86/219.42 <=> V_b_2 = V_c_2 ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__left__cancel,axiom, % 218.86/219.42 ! [V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.42 ( class_Groups_Ocancel__semigroup__add(T_b) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2) % 218.86/219.42 <=> V_b_2 = V_c_2 ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oab__semigroup__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 218.86/219.42 ! [V_c,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 218.86/219.42 ! [V_d,V_c,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 218.86/219.42 ! [V_d,V_c,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 218.86/219.42 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__le__imp__le__left,axiom, % 218.86/219.42 ! [V_b,V_a,V_c,T_a] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__le__imp__le__right,axiom, % 218.86/219.42 ! [V_b,V_c,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__mono,axiom, % 218.86/219.42 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__left__mono,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__right__mono,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__le__cancel__left,axiom, % 218.86/219.42 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__le__cancel__right,axiom, % 218.86/219.42 ! [V_b_2,V_c_2,V_a_2,T_b] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__less__imp__less__left,axiom, % 218.86/219.42 ! [V_b,V_a,V_c,T_a] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__less__imp__less__right,axiom, % 218.86/219.42 ! [V_b,V_c,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__strict__mono,axiom, % 218.86/219.42 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__strict__left__mono,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__strict__right__mono,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__less__cancel__left,axiom, % 218.86/219.42 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__less__cancel__right,axiom, % 218.86/219.42 ! [V_b_2,V_c_2,V_a_2,T_b] : % 218.86/219.42 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_combine__common__factor,axiom, % 218.86/219.42 ! [V_c,V_b,V_e,V_a,T_a] : % 218.86/219.42 ( class_Rings_Osemiring(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__class_Odistrib,axiom, % 218.86/219.42 ! [V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__diff__cancel,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ogroup__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__add__cancel,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ogroup__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_minus__add__distrib,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_a) % 218.86/219.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_minus__add,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ogroup__add(T_a) % 218.86/219.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__minus__cancel,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ogroup__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_minus__add__cancel,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ogroup__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 218.86/219.42 ! [V_m,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 218.86/219.42 ! [V_a,V_m,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 218.86/219.42 ! [V_m,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 218.86/219.42 ! [V_y,V_x,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__ring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__addf,axiom, % 218.86/219.42 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__le__less__mono,axiom, % 218.86/219.42 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__less__le__mono,axiom, % 218.86/219.42 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__add__one,axiom, % 218.86/219.42 ! [V_a,T_a] : % 218.86/219.42 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_eq__add__iff2,axiom, % 218.86/219.42 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 218.86/219.42 ( class_Rings_Oring(T_b) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 218.86/219.42 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_eq__add__iff1,axiom, % 218.86/219.42 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 218.86/219.42 ( class_Rings_Oring(T_b) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2) % 218.86/219.42 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__def,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ogroup__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_ab__diff__minus,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__minus__eq__add,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Groups_Ogroup__add(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum_Odistrib,axiom, % 218.86/219.42 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__add__iff1,axiom, % 218.86/219.42 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 218.86/219.42 ( class_Rings_Oordered__ring(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__add__iff2,axiom, % 218.86/219.42 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 218.86/219.42 ( class_Rings_Oordered__ring(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__add__iff2,axiom, % 218.86/219.42 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 218.86/219.42 ( class_Rings_Oordered__ring(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__add__iff1,axiom, % 218.86/219.42 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 218.86/219.42 ( class_Rings_Oordered__ring(T_b) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__Un__nat,axiom, % 218.86/219.42 ! [V_f_2,V_B_2,V_A_2,T_b] : % 218.86/219.42 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 218.86/219.42 ! [V_b,V_a,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 218.86/219.42 ! [V_ry,V_rx,V_lx,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 218.86/219.42 ! [V_ry,V_rx,V_lx,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 218.86/219.42 ! [V_rx,V_ly,V_lx,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 218.86/219.42 ! [V_rx,V_ly,V_lx,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 218.86/219.42 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 218.86/219.42 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 218.86/219.42 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum_Oinsert,axiom, % 218.86/219.42 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__insert,axiom, % 218.86/219.42 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.42 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__Un__Int,axiom, % 218.86/219.42 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum_Oinsert__remove,axiom, % 218.86/219.42 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__Un__disjoint,axiom, % 218.86/219.42 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__Un,axiom, % 218.86/219.42 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_c) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__less__add__iff2,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__less__add__iff1,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__le__add__iff1,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__diff__add__eq1,axiom, % 218.86/219.42 ! [V_n,V_m,V_u,V_i,V_j] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__eq__add__iff1,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2) % 218.86/219.42 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_n_2 ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__le__add__iff2,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__diff__add__eq2,axiom, % 218.86/219.42 ! [V_n,V_m,V_u,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__greaterThanLessThan,axiom, % 218.86/219.42 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__atMost,axiom, % 218.86/219.42 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__lessThan,axiom, % 218.86/219.42 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__atLeastAtMost,axiom, % 218.86/219.42 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__greaterThanAtMost,axiom, % 218.86/219.42 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_left__add__mult__distrib,axiom, % 218.86/219.42 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ). % 218.86/219.42 % 218.86/219.42 fof(fact_UN__le__add__shift,axiom, % 218.86/219.42 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ). % 218.86/219.42 % 218.86/219.42 fof(fact_image__add__atLeastAtMost,axiom, % 218.86/219.42 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_finite__nat__set__iff__bounded,axiom, % 218.86/219.42 ! [V_N_2] : % 218.86/219.42 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 218.86/219.42 <=> ? [B_m] : % 218.86/219.42 ! [B_x] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_infinite__UNIV__nat,axiom, % 218.86/219.42 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__eq__add__iff2,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2) % 218.86/219.42 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__add__assoc2,axiom, % 218.86/219.42 ! [V_i,V_j,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__diff__assoc2,axiom, % 218.86/219.42 ! [V_i,V_j,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__add__assoc,axiom, % 218.86/219.42 ! [V_i,V_j,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__imp__diff__is__add,axiom, % 218.86/219.42 ! [V_k_2,V_j_2,V_i_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 218.86/219.42 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__add__diff__inverse2,axiom, % 218.86/219.42 ! [V_m,V_n] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__diff__conv2,axiom, % 218.86/219.42 ! [V_i_2,V_j_2,V_k_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__diff__assoc,axiom, % 218.86/219.42 ! [V_i,V_j,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_INT__greaterThan__UNIV,axiom, % 218.86/219.42 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_UN__lessThan__UNIV,axiom, % 218.86/219.42 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_UN__atLeast__UNIV,axiom, % 218.86/219.42 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_UN__atMost__UNIV,axiom, % 218.86/219.42 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__not__refl,axiom, % 218.86/219.42 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__neq__iff,axiom, % 218.86/219.42 ! [V_n_2,V_m_2] : % 218.86/219.42 ( V_m_2 != V_n_2 % 218.86/219.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_linorder__neqE__nat,axiom, % 218.86/219.42 ! [V_y,V_x] : % 218.86/219.42 ( V_x != V_y % 218.86/219.42 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__irrefl__nat,axiom, % 218.86/219.42 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__not__refl2,axiom, % 218.86/219.42 ! [V_m,V_n] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 218.86/219.42 => V_m != V_n ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__not__refl3,axiom, % 218.86/219.42 ! [V_t,V_s] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 218.86/219.42 => V_s != V_t ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__less__cases,axiom, % 218.86/219.42 ! [V_P_2,V_n_2,V_m_2] : % 218.86/219.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 218.86/219.42 => ( ( V_m_2 = V_n_2 % 218.86/219.42 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 218.86/219.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 218.86/219.42 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) % 218.86/219.42 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__add__right__cancel,axiom, % 218.86/219.42 ! [V_n_2,V_k_2,V_m_2] : % 218.86/219.42 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2) % 218.86/219.42 <=> V_m_2 = V_n_2 ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__add__left__cancel,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.42 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2) % 218.86/219.42 <=> V_m_2 = V_n_2 ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__add__assoc,axiom, % 218.86/219.42 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__add__left__commute,axiom, % 218.86/219.42 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__add__commute,axiom, % 218.86/219.42 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__refl,axiom, % 218.86/219.42 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__le__linear,axiom, % 218.86/219.42 ! [V_n,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_eq__imp__le,axiom, % 218.86/219.42 ! [V_n,V_m] : % 218.86/219.42 ( V_m = V_n % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__trans,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__antisym,axiom, % 218.86/219.42 ! [V_n,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.42 => V_m = V_n ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__commute,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__mult__assoc,axiom, % 218.86/219.42 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__mult__commute,axiom, % 218.86/219.42 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ). % 218.86/219.42 % 218.86/219.42 fof(fact_inj__on__add__nat,axiom, % 218.86/219.42 ! [V_N_2,V_k_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2),V_N_2) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__lessD1,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__add__eq__less,axiom, % 218.86/219.42 ! [V_n,V_m,V_l,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__less__mono,axiom, % 218.86/219.42 ! [V_l,V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__less__mono1,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_trans__less__add2,axiom, % 218.86/219.42 ! [V_m,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_trans__less__add1,axiom, % 218.86/219.42 ! [V_m,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__add__left__cancel__less,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_not__add__less2,axiom, % 218.86/219.42 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_not__add__less1,axiom, % 218.86/219.42 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__less__le,axiom, % 218.86/219.42 ! [V_n_2,V_m_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 & V_m_2 != V_n_2 ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__eq__less__or__eq,axiom, % 218.86/219.42 ! [V_n_2,V_m_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 | V_m_2 = V_n_2 ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__imp__le__nat,axiom, % 218.86/219.42 ! [V_n,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__neq__implies__less,axiom, % 218.86/219.42 ! [V_n,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => ( V_m != V_n % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__or__eq__imp__le,axiom, % 218.86/219.42 ! [V_n,V_m] : % 218.86/219.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 | V_m = V_n ) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__add2,axiom, % 218.86/219.42 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__add1,axiom, % 218.86/219.42 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__iff__add,axiom, % 218.86/219.42 ! [V_n_2,V_m_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.42 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__add__left__cancel__le,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_trans__le__add1,axiom, % 218.86/219.42 ! [V_m,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_trans__le__add2,axiom, % 218.86/219.42 ! [V_m,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__le__mono1,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__le__mono,axiom, % 218.86/219.42 ! [V_l,V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__leD2,axiom, % 218.86/219.42 ! [V_n,V_k,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__leD1,axiom, % 218.86/219.42 ! [V_n,V_k,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__leE,axiom, % 218.86/219.42 ! [V_n,V_k,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n)) % 218.86/219.42 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__less__mono2,axiom, % 218.86/219.42 ! [V_l,V_n,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__imp__diff__less,axiom, % 218.86/219.42 ! [V_n,V_k,V_j] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__add__inverse2,axiom, % 218.86/219.42 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__add__inverse,axiom, % 218.86/219.42 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__diff__left,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__cancel,axiom, % 218.86/219.42 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__cancel2,axiom, % 218.86/219.42 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__mult__distrib2,axiom, % 218.86/219.42 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__mult__distrib,axiom, % 218.86/219.42 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__le__self,axiom, % 218.86/219.42 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__le__mono2,axiom, % 218.86/219.42 ! [V_l,V_n,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__le__mono,axiom, % 218.86/219.42 ! [V_l,V_n,V_m] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__diff__cancel,axiom, % 218.86/219.42 ! [V_n,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_eq__diff__iff,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 218.86/219.42 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2) % 218.86/219.42 <=> V_m_2 = V_n_2 ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_Nat_Odiff__diff__eq,axiom, % 218.86/219.42 ! [V_n,V_m,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__diff__iff,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_mult__le__mono,axiom, % 218.86/219.42 ! [V_l,V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_mult__le__mono2,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_mult__le__mono1,axiom, % 218.86/219.42 ! [V_k,V_j,V_i] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__cube,axiom, % 218.86/219.42 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__square,axiom, % 218.86/219.42 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__mult__distrib,axiom, % 218.86/219.42 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__mult__distrib2,axiom, % 218.86/219.42 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__mult__1,axiom, % 218.86/219.42 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__1__eq__mult__iff,axiom, % 218.86/219.42 ! [V_n_2,V_m_2] : % 218.86/219.42 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 218.86/219.42 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 218.86/219.42 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__mult__1__right,axiom, % 218.86/219.42 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 218.86/219.42 % 218.86/219.42 fof(fact_nat__mult__eq__1__iff,axiom, % 218.86/219.42 ! [V_n_2,V_m_2] : % 218.86/219.42 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 218.86/219.42 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 218.86/219.42 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_add__diff__inverse,axiom, % 218.86/219.42 ! [V_n,V_m] : % 218.86/219.42 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__diff__conv,axiom, % 218.86/219.42 ! [V_k_2,V_j_2,V_i_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_less__diff__iff,axiom, % 218.86/219.42 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__less__mono,axiom, % 218.86/219.42 ! [V_c,V_b,V_a] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 218.86/219.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_diff__diff__right,axiom, % 218.86/219.42 ! [V_i,V_j,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__diff__conv,axiom, % 218.86/219.42 ! [V_i_2,V_k_2,V_j_2] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2)) % 218.86/219.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__add__diff,axiom, % 218.86/219.42 ! [V_m,V_n,V_k] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 218.86/219.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_le__add__diff__inverse,axiom, % 218.86/219.42 ! [V_m,V_n] : % 218.86/219.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_arith__series__general,axiom, % 218.86/219.42 ! [V_n_2,V_d_2,V_a_2,T_b] : % 218.86/219.42 ( class_Rings_Ocomm__semiring__1(T_b) % 218.86/219.42 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ). % 218.86/219.42 % 218.86/219.42 fof(fact_setsum__natinterval__difff,axiom, % 218.86/219.42 ! [V_f_2,V_n_2,V_m_2,T_b] : % 218.86/219.42 ( class_Groups_Oab__group__add(T_b) % 218.86/219.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_termination__basic__simps_I3_J,axiom, % 218.86/219.43 ! [V_z,V_y,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_termination__basic__simps_I4_J,axiom, % 218.86/219.43 ! [V_y,V_z,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_termination__basic__simps_I5_J,axiom, % 218.86/219.43 ! [V_y,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_termination__basic__simps_I2_J,axiom, % 218.86/219.43 ! [V_y,V_z,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_termination__basic__simps_I1_J,axiom, % 218.86/219.43 ! [V_z,V_y,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__zeroE,axiom, % 218.86/219.43 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le0,axiom, % 218.86/219.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__0__less__iff,axiom, % 218.86/219.43 ! [V_n_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__less__0__iff,axiom, % 218.86/219.43 ! [V_m,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__0,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Osemiring__1(T_a) % 218.86/219.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__eq__iff,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,T_b] : % 218.86/219.43 ( class_Nat_Osemiring__char__0(T_b) % 218.86/219.43 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) % 218.86/219.43 <=> V_m_2 = V_n_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__0__le__iff,axiom, % 218.86/219.43 ! [V_n,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__le__imp__of__nat,axiom, % 218.86/219.43 ! [V_m,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__reorient,axiom, % 218.86/219.43 ! [V_x_2,T_b] : % 218.86/219.43 ( class_Groups_Ozero(T_b) % 218.86/219.43 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 218.86/219.43 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__0__iff,axiom, % 218.86/219.43 ! [V_a_2,V_b_2,T_b] : % 218.86/219.43 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 218.86/219.43 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 218.86/219.43 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__0__left,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Omonoid__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__0,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_double__zero__sym,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 218.86/219.43 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__0__right,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Omonoid__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add_Ocomm__neutral,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__zero__left,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Omult__zero(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__zero__right,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Omult__zero(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__eq__0__iff,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Rings_Oring__no__zero__divisors(T_b) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_no__zero__divisors,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Ono__zero__divisors(T_a) % 218.86/219.43 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.43 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_divisors__zero,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Ono__zero__divisors(T_a) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.43 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.43 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__0__right,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__self,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_eq__iff__diff__eq__0,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Oab__group__add(T_b) % 218.86/219.43 => ( V_a_2 = V_b_2 % 218.86/219.43 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_right__minus__eq,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_b) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 <=> V_a_2 = V_b_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_one__neq__zero,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Ozero__neq__one(T_a) % 218.86/219.43 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__neq__one,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Ozero__neq__one(T_a) % 218.86/219.43 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__equal__zero,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 218.86/219.43 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__equal__0__iff__equal,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_b) % 218.86/219.43 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_equal__neg__zero,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 218.86/219.43 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__0__equal__iff__equal,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_b) % 218.86/219.43 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 218.86/219.43 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_minus__zero,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_a) % 218.86/219.43 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__less0,axiom, % 218.86/219.43 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neq0__conv,axiom, % 218.86/219.43 ! [V_n_2] : % 218.86/219.43 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__nat__zero__code,axiom, % 218.86/219.43 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_gr__implies__not0,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_gr0I,axiom, % 218.86/219.43 ! [V_n] : % 218.86/219.43 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__eq__self__zero,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 218.86/219.43 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__is__0,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat_Oadd__0__right,axiom, % 218.86/219.43 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 218.86/219.43 % 218.86/219.43 fof(fact_plus__nat_Oadd__0,axiom, % 218.86/219.43 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 218.86/219.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le__0__eq,axiom, % 218.86/219.43 ! [V_n_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 218.86/219.43 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__0__eq__0,axiom, % 218.86/219.43 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_minus__nat_Odiff__0,axiom, % 218.86/219.43 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__self__eq__0,axiom, % 218.86/219.43 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diffs0__imp__equal,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 => V_m = V_n ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat__mult__eq__cancel__disj,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 218.86/219.43 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 | V_m_2 = V_n_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__cancel2,axiom, % 218.86/219.43 ! [V_n_2,V_k_2,V_m_2] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2) % 218.86/219.43 <=> ( V_m_2 = V_n_2 % 218.86/219.43 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__cancel1,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 218.86/219.43 <=> ( V_m_2 = V_n_2 % 218.86/219.43 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__is__0,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__0__right,axiom, % 218.86/219.43 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__0,axiom, % 218.86/219.43 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_inj__of__nat,axiom, % 218.86/219.43 ! [T_b] : % 218.86/219.43 ( class_Nat_Osemiring__char__0(T_b) % 218.86/219.43 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atLeastLessThan0,axiom, % 218.86/219.43 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atLeast__0,axiom, % 218.86/219.43 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_lessThan__0,axiom, % 218.86/219.43 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atMost__0,axiom, % 218.86/219.43 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__0,axiom, % 218.86/219.43 ! [V_A_2,T_c,T_b] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__less__imp__less,axiom, % 218.86/219.43 ! [V_n,V_m,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__imp__of__nat__less,axiom, % 218.86/219.43 ! [V_n,V_m,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__less__iff,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__le__iff,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__add,axiom, % 218.86/219.43 ! [V_n,V_m,T_a] : % 218.86/219.43 ( class_Rings_Osemiring__1(T_a) % 218.86/219.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__nonneg__nonneg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__nonneg__eq__0__iff,axiom, % 218.86/219.43 ! [V_y_2,V_x_2,T_b] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__increasing,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__increasing2,axiom, % 218.86/219.43 ! [V_a,V_b,V_c,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__nonpos__nonpos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_split__mult__neg__le,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 218.86/219.43 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 218.86/219.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_split__mult__pos__le,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__ring(T_a) % 218.86/219.43 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 218.86/219.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__mono,axiom, % 218.86/219.43 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__mono_H,axiom, % 218.86/219.43 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__left__mono__neg,axiom, % 218.86/219.43 ! [V_c,V_a,V_b,T_a] : % 218.86/219.43 ( class_Rings_Oordered__ring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__right__mono__neg,axiom, % 218.86/219.43 ! [V_c,V_a,V_b,T_a] : % 218.86/219.43 ( class_Rings_Oordered__ring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_comm__mult__left__mono,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__comm__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__left__mono,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__right__mono,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__nonpos__nonpos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__ring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__nonpos__nonneg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__nonneg__nonpos2,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__nonneg__nonpos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__nonneg__nonneg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Oordered__cancel__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__le__0__iff,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 218.86/219.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__le__mult__iff,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2))) % 218.86/219.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 218.86/219.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__le__square,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__ring(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_pos__add__strict,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__pos__pos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__neg__neg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__strict__left__mono__neg,axiom, % 218.86/219.43 ! [V_c,V_a,V_b,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__strict__right__mono__neg,axiom, % 218.86/219.43 ! [V_c,V_a,V_b,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_comm__mult__strict__left__mono,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__strict__left__mono,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__strict__right__mono,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__neg__neg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__neg__pos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__cancel__left__neg,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__mult__pos2,axiom, % 218.86/219.43 ! [V_a,V_b,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__mult__pos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__pos__neg2,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__pos__neg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__pos__pos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__cancel__left__pos,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__cancel__left__disj,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 218.86/219.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 218.86/219.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__cancel__right__disj,axiom, % 218.86/219.43 ! [V_b_2,V_c_2,V_a_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2))) % 218.86/219.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 218.86/219.43 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__square__less__zero,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__ring(T_a) % 218.86/219.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__mult,axiom, % 218.86/219.43 ! [V_n,V_m,T_a] : % 218.86/219.43 ( class_Rings_Osemiring__1(T_a) % 218.86/219.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le__iff__diff__le__0,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__iff__diff__less__0,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__scale__eq__noteq,axiom, % 218.86/219.43 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 218.86/219.43 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 218.86/219.43 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.43 => ( ( V_a = V_b % 218.86/219.43 & V_c != V_d ) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__one__le__zero,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__le__one,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__one__less__zero,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__one,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_minus__le__self__iff,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__le__0__iff__le,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le__minus__self__iff,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__0__le__iff__le,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__less__nonneg,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__less__0__iff__less,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_neg__0__less__iff__less,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Oordered__ab__group__add(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__minus__self__iff,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_minus__unique,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_a) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.43 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_ab__left__minus,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Oab__group__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_left__minus,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_eq__neg__iff__add__eq__0,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_b) % 218.86/219.43 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 218.86/219.43 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_right__minus,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__1,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Osemiring__1(T_a) % 218.86/219.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__0,axiom, % 218.86/219.43 ! [V_a,T_a] : % 218.86/219.43 ( class_Groups_Ogroup__add(T_a) % 218.86/219.43 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__empty,axiom, % 218.86/219.43 ! [V_f_2,T_c,T_b] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum_Oempty,axiom, % 218.86/219.43 ! [V_g_2,T_c,T_b] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__infinite,axiom, % 218.86/219.43 ! [V_f_2,V_A_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum_Oinfinite,axiom, % 218.86/219.43 ! [V_g_2,V_A_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__gr__0,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 218.86/219.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__less,axiom, % 218.86/219.43 ! [V_m,V_n] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__diff,axiom, % 218.86/219.43 ! [V_m_2,V_n_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat__mult__eq__cancel1,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 218.86/219.43 <=> V_m_2 = V_n_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat__mult__less__cancel1,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat__0__less__mult__iff,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__cancel1,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__cancel2,axiom, % 218.86/219.43 ! [V_n_2,V_k_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 218.86/219.43 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__mono1,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__mono2,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__add__0,axiom, % 218.86/219.43 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__is__0__eq_H,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__is__0__eq,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__eq__self__implies__10,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 218.86/219.43 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 218.86/219.43 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__eq__0__iff,axiom, % 218.86/219.43 ! [V_f_2,V_F_2,T_b] : % 218.86/219.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.43 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 <=> ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 218.86/219.43 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atLeast0LessThan,axiom, % 218.86/219.43 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atLeast0AtMost,axiom, % 218.86/219.43 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__pos__nonneg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__nonneg__pos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__strict__increasing,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__strict__increasing2,axiom, % 218.86/219.43 ! [V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__neg__nonpos,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__nonpos__neg,axiom, % 218.86/219.43 ! [V_b,V_a,T_a] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__le__cancel__left__pos,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__le__cancel__left__neg,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__strict__mono,axiom, % 218.86/219.43 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__strict__mono_H,axiom, % 218.86/219.43 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__le__imp__less,axiom, % 218.86/219.43 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__le__less__imp__less,axiom, % 218.86/219.43 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__right__less__imp__less,axiom, % 218.86/219.43 ! [V_b,V_c,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__imp__less__right,axiom, % 218.86/219.43 ! [V_b,V_c,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__left__less__imp__less,axiom, % 218.86/219.43 ! [V_b,V_a,V_c,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__less__imp__less__left,axiom, % 218.86/219.43 ! [V_b,V_a,V_c,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__right__le__imp__le,axiom, % 218.86/219.43 ! [V_b,V_c,V_a,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__left__le__imp__le,axiom, % 218.86/219.43 ! [V_b,V_a,V_c,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__right__le__one__le,axiom, % 218.86/219.43 ! [V_y,V_x,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__left__le__one__le,axiom, % 218.86/219.43 ! [V_y,V_x,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__two,axiom, % 218.86/219.43 ! [T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__diff,axiom, % 218.86/219.43 ! [V_m,V_n,T_a] : % 218.86/219.43 ( class_Rings_Oring__1(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat__diff__split,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_P_2] : % 218.86/219.43 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 218.86/219.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 218.86/219.43 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 218.86/219.43 & ! [B_d] : % 218.86/219.43 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 218.86/219.43 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat__diff__split__asm,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_P_2] : % 218.86/219.43 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 218.86/219.43 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 218.86/219.43 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 218.86/219.43 | ? [B_d] : % 218.86/219.43 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 218.86/219.43 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat__mult__le__cancel1,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__le__cancel2,axiom, % 218.86/219.43 ! [V_n_2,V_k_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__le__cancel1,axiom, % 218.86/219.43 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_comp__cong,axiom, % 218.86/219.43 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] : % 218.86/219.43 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2)) % 218.86/219.43 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__eq__1__iff,axiom, % 218.86/219.43 ! [V_f_2,V_A_2,T_b] : % 218.86/219.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 218.86/219.43 <=> ? [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.43 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 218.86/219.43 & ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 218.86/219.43 => ( B_x != B_xa % 218.86/219.43 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__delta_H,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.43 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__delta,axiom, % 218.86/219.43 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.43 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_convex__bound__le,axiom, % 218.86/219.43 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__1(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_UN__UN__finite__eq,axiom, % 218.86/219.43 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum_Oeq__fold,axiom, % 218.86/219.43 ! [V_g_2,V_A_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum_OF__eq,axiom, % 218.86/219.43 ! [V_g_2,V_A_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__restrict__set,axiom, % 218.86/219.43 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_convex__bound__lt,axiom, % 218.86/219.43 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 218.86/219.43 ! [V_x_2,V_y_2,V_c_2] : % 218.86/219.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 218.86/219.43 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 218.86/219.43 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 218.86/219.43 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 218.86/219.43 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_UN__le__eq__Un0,axiom, % 218.86/219.43 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_gauss__sum,axiom, % 218.86/219.43 ! [V_n_2,T_b] : % 218.86/219.43 ( class_Rings_Ocomm__semiring__1(T_b) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mult__eq__if,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.43 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__sum__squares__lt__zero,axiom, % 218.86/219.43 ! [V_y,V_x,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__ring(T_a) % 218.86/219.43 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_sum__squares__gt__zero__iff,axiom, % 218.86/219.43 ! [V_y_2,V_x_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)))) % 218.86/219.43 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_sum__squares__ge__zero,axiom, % 218.86/219.43 ! [V_y,V_x,T_a] : % 218.86/219.43 ( class_Rings_Olinordered__ring(T_a) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_sum__squares__le__zero__iff,axiom, % 218.86/219.43 ! [V_y_2,V_x_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__setsum,axiom, % 218.86/219.43 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.43 ( class_Rings_Osemiring__1(T_b) % 218.86/219.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 218.86/219.43 ! [V_n_2,T_b] : % 218.86/219.43 ( class_Rings_Osemiring__1(T_b) % 218.86/219.43 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 218.86/219.43 ! [V_i_2,V_inc_2,T_b] : % 218.86/219.43 ( class_Rings_Osemiring__1(T_b) % 218.86/219.43 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bot__nat__def,axiom, % 218.86/219.43 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__zle__neg,axiom, % 218.86/219.43 ! [V_m_2,V_n_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)))) % 218.86/219.43 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__le__0__conv,axiom, % 218.86/219.43 ! [V_n_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.43 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__eq__0__conv,axiom, % 218.86/219.43 ! [V_n_2] : % 218.86/219.43 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.43 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__0,axiom, % 218.86/219.43 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.43 % 218.86/219.43 fof(fact_negative__eq__positive,axiom, % 218.86/219.43 ! [V_m_2,V_n_2] : % 218.86/219.43 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) % 218.86/219.43 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.43 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zless__int,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__int__conv,axiom, % 218.86/219.43 ! [V_n_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__zless__mono2__lemma,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__int,axiom, % 218.86/219.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__int__left,axiom, % 218.86/219.43 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__int,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__mult,axiom, % 218.86/219.43 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__int,axiom, % 218.86/219.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__1,axiom, % 218.86/219.43 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 218.86/219.43 % 218.86/219.43 fof(fact_inj__int,axiom, % 218.86/219.43 c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__setsum,axiom, % 218.86/219.43 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_double__eq__0__iff,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zdiff__int,axiom, % 218.86/219.43 ! [V_m,V_n] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.43 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_even__less__0__iff,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_sum__squares__eq__zero__iff,axiom, % 218.86/219.43 ! [V_y_2,V_x_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__ring__strict(T_b) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.43 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_ex__nat__less,axiom, % 218.86/219.43 ! [V_P_2,V_n_2] : % 218.86/219.43 ( ? [B_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 218.86/219.43 & hBOOL(hAPP(V_P_2,B_m)) ) % 218.86/219.43 <=> ? [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2))) % 218.86/219.43 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_all__nat__less,axiom, % 218.86/219.43 ! [V_P_2,V_n_2] : % 218.86/219.43 ( ! [B_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 218.86/219.43 => hBOOL(hAPP(V_P_2,B_m)) ) % 218.86/219.43 <=> ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2))) % 218.86/219.43 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_ex__nat__less__eq,axiom, % 218.86/219.43 ! [V_P_2,V_n_2] : % 218.86/219.43 ( ? [B_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 218.86/219.43 & hBOOL(hAPP(V_P_2,B_m)) ) % 218.86/219.43 <=> ? [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))) % 218.86/219.43 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_all__nat__less__eq,axiom, % 218.86/219.43 ! [V_P_2,V_n_2] : % 218.86/219.43 ( ! [B_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 218.86/219.43 => hBOOL(hAPP(V_P_2,B_m)) ) % 218.86/219.43 <=> ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))) % 218.86/219.43 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zdiff__int__split,axiom, % 218.86/219.43 ! [V_y_2,V_x_2,V_P_2] : % 218.86/219.43 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2)))) % 218.86/219.43 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 218.86/219.43 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) ) % 218.86/219.43 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 218.86/219.43 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_UN__finite2__subset,axiom, % 218.86/219.43 ! [V_B_2,V_k_2,V_A_2,T_b] : % 218.86/219.43 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_negative__zle,axiom, % 218.86/219.43 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_negative__zle__0,axiom, % 218.86/219.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__zle__int,axiom, % 218.86/219.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__int__eq,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) % 218.86/219.43 <=> V_m_2 = V_n_2 ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zminus__0,axiom, % 218.86/219.43 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__0__less__1,axiom, % 218.86/219.43 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__0__neq__1,axiom, % 218.86/219.43 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 218.86/219.43 % 218.86/219.43 fof(fact_pos__zmult__eq__1__iff,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 218.86/219.43 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 218.86/219.43 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 218.86/219.43 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__zless__mono2,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__int__zless__negative,axiom, % 218.86/219.43 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__less__0__conv,axiom, % 218.86/219.43 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__bin__lemma,axiom, % 218.86/219.43 ! [V_l_2,V_k_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__0__right,axiom, % 218.86/219.43 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__0,axiom, % 218.86/219.43 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__iff__zadd,axiom, % 218.86/219.43 ! [V_z_2,V_w_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 218.86/219.43 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__zminus__inverse2,axiom, % 218.86/219.43 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.43 % 218.86/219.43 fof(fact_image__add__int__atLeastLessThan,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 218.86/219.43 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_odd__nonzero,axiom, % 218.86/219.43 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.43 % 218.86/219.43 fof(fact_int__one__le__iff__zero__less,axiom, % 218.86/219.43 ! [V_z_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le__imp__0__less,axiom, % 218.86/219.43 ! [V_z] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_odd__less__0,axiom, % 218.86/219.43 ! [V_z_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_simp__from__to,axiom, % 218.86/219.43 ! [V_i_2,V_j_2] : % 218.86/219.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 218.86/219.43 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 218.86/219.43 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__diff1__eq,axiom, % 218.86/219.43 ! [V_z_2,V_w_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zless__add1__eq,axiom, % 218.86/219.43 ! [V_z_2,V_w_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 218.86/219.43 | V_w_2 = V_z_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zless__imp__add1__zle,axiom, % 218.86/219.43 ! [V_z,V_w] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add1__zle__eq,axiom, % 218.86/219.43 ! [V_z_2,V_w_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__add1__eq__le,axiom, % 218.86/219.43 ! [V_z_2,V_w_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__zmult__distrib,axiom, % 218.86/219.43 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__zmult__distrib2,axiom, % 218.86/219.43 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zdiff__zmult__distrib,axiom, % 218.86/219.43 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zdiff__zmult__distrib2,axiom, % 218.86/219.43 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__int__def,axiom, % 218.86/219.43 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_diff__int__def__symmetric,axiom, % 218.86/219.43 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zminus__zadd__distrib,axiom, % 218.86/219.43 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__left__mono,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__commute,axiom, % 218.86/219.43 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__left__commute,axiom, % 218.86/219.43 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__assoc,axiom, % 218.86/219.43 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zless__le,axiom, % 218.86/219.43 ! [V_w_2,V_z_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 218.86/219.43 & V_z_2 != V_w_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__zless__mono,axiom, % 218.86/219.43 ! [V_z,V_z_H,V_w,V_w_H] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zadd__strict__right__mono,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zless__linear,axiom, % 218.86/219.43 ! [V_y,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 218.86/219.43 | V_x = V_y % 218.86/219.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__zminus,axiom, % 218.86/219.43 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__commute,axiom, % 218.86/219.43 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__assoc,axiom, % 218.86/219.43 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__1__right,axiom, % 218.86/219.43 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 218.86/219.43 % 218.86/219.43 fof(fact_zmult__1,axiom, % 218.86/219.43 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 218.86/219.43 % 218.86/219.43 fof(fact_zminus__zminus,axiom, % 218.86/219.43 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__antisym,axiom, % 218.86/219.43 ! [V_w,V_z] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 218.86/219.43 => V_z = V_w ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__trans,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__linear,axiom, % 218.86/219.43 ! [V_w,V_z] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 218.86/219.43 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zle__refl,axiom, % 218.86/219.43 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_self__quotient__aux1,axiom, % 218.86/219.43 ! [V_q,V_r,V_a] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.43 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_self__quotient__aux2,axiom, % 218.86/219.43 ! [V_q,V_r,V_a] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.43 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_q__pos__lemma,axiom, % 218.86/219.43 ! [V_r_H,V_q_H,V_b_H] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_q__neg__lemma,axiom, % 218.86/219.43 ! [V_r_H,V_q_H,V_b_H] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_unique__quotient__lemma,axiom, % 218.86/219.43 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zdiv__mono2__lemma,axiom, % 218.86/219.43 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_finite__atLeastAtMost__int,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_finite__atLeastLessThan__int,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_finite__greaterThanAtMost__int,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_finite__greaterThanLessThan__int,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_infinite__UNIV__int,axiom, % 218.86/219.43 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zdiv__mono2__neg__lemma,axiom, % 218.86/219.43 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 218.86/219.43 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_unique__quotient__lemma__neg,axiom, % 218.86/219.43 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 218.86/219.43 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 218.86/219.43 ! [V_A_2] : % 218.86/219.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 218.86/219.43 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 218.86/219.43 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 218.86/219.43 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 218.86/219.43 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 218.86/219.43 ! [V_y_2,V_x_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 218.86/219.43 ! [V_B_2,V_A_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 218.86/219.43 ! [V_B_2,V_A_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 218.86/219.43 ! [V_B_2,V_A_2] : % 218.86/219.43 ( V_A_2 = V_B_2 % 218.86/219.43 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 218.86/219.43 ! [V_A_2,V_x_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 218.86/219.43 ! [V_y_2,V_x_2] : % 218.86/219.43 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2) % 218.86/219.43 <=> V_x_2 = V_y_2 ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 218.86/219.43 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 218.86/219.43 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 218.86/219.43 ! [V_y,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 218.86/219.43 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 218.86/219.43 ! [V_P_2] : % 218.86/219.43 ( ? [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 218.86/219.43 & hBOOL(hAPP(V_P_2,B_x)) ) % 218.86/219.43 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 218.86/219.43 ! [V_P_2] : % 218.86/219.43 ( ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 218.86/219.43 => hBOOL(hAPP(V_P_2,B_x)) ) % 218.86/219.43 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 218.86/219.43 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 218.86/219.43 ! [V_y,V_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 218.86/219.43 ! [V_y_2,V_x_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_aset_I8_J,axiom, % 218.86/219.43 ! [V_t_2,V_A_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bset_I6_J,axiom, % 218.86/219.43 ! [V_t_2,V_B_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_aset_I6_J,axiom, % 218.86/219.43 ! [V_A_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bset_I8_J,axiom, % 218.86/219.43 ! [V_B_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__mono2,axiom, % 218.86/219.43 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Oordered__comm__monoid__add(T_c) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.43 => ( ! [B_b] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_periodic__finite__ex,axiom, % 218.86/219.43 ! [V_P_2,V_d_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 218.86/219.43 => ( ! [B_x,B_k] : % 218.86/219.43 ( hBOOL(hAPP(V_P_2,B_x)) % 218.86/219.43 <=> hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) ) % 218.86/219.43 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 218.86/219.43 <=> ? [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2))) % 218.86/219.43 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_aset_I4_J,axiom, % 218.86/219.43 ! [V_A_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( B_x != V_t_2 % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bset_I4_J,axiom, % 218.86/219.43 ! [V_B_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( B_x != V_t_2 % 218.86/219.43 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bset_I7_J,axiom, % 218.86/219.43 ! [V_B_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_aset_I5_J,axiom, % 218.86/219.43 ! [V_A_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_aset_I3_J,axiom, % 218.86/219.43 ! [V_A_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2)) % 218.86/219.43 => ( ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 218.86/219.43 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 218.86/219.43 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bset_I3_J,axiom, % 218.86/219.43 ! [V_B_2,V_t_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2)) % 218.86/219.43 => ( ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 218.86/219.43 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 218.86/219.43 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_aset_I7_J,axiom, % 218.86/219.43 ! [V_t_2,V_A_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bset_I5_J,axiom, % 218.86/219.43 ! [V_t_2,V_B_2,V_D_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 218.86/219.43 => ! [B_x] : % 218.86/219.43 ( ! [B_xa] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2))) % 218.86/219.43 => ! [B_xb] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 218.86/219.43 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__Un__zero,axiom, % 218.86/219.43 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 218.86/219.43 => ( ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 218.86/219.43 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum_Ounion__inter__neutral,axiom, % 218.86/219.43 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.43 => ( ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.43 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__mono3,axiom, % 218.86/219.43 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 218.86/219.43 ( ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.43 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.43 => ( ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_setsum__reindex__nonzero,axiom, % 218.86/219.43 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 218.86/219.43 ( class_Groups_Ocomm__monoid__add(T_d) % 218.86/219.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.43 => ( ! [B_x] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 218.86/219.43 => ! [B_y] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 218.86/219.43 => ( B_x != B_y % 218.86/219.43 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 218.86/219.43 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 218.86/219.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_UN__finite2__eq,axiom, % 218.86/219.43 ! [V_B_2,V_k_2,V_A_2,T_b] : % 218.86/219.43 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2) % 218.86/219.43 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_UN__finite__subset,axiom, % 218.86/219.43 ! [V_C_2,V_A_2,T_b] : % 218.86/219.43 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_tsub__def,axiom, % 218.86/219.43 ! [V_x,V_y] : % 218.86/219.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 218.86/219.43 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 218.86/219.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 218.86/219.43 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Ints__odd__less__0,axiom, % 218.86/219.43 ! [V_a_2,T_b] : % 218.86/219.43 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_arith__series__nat,axiom, % 218.86/219.43 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_card__Diff__singleton,axiom, % 218.86/219.43 ! [V_x_2,V_A_2,T_b] : % 218.86/219.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.43 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_lessI,axiom, % 218.86/219.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__mono,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_zero__less__Suc,axiom, % 218.86/219.43 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_negative__zless,axiom, % 218.86/219.43 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ). % 218.86/219.43 % 218.86/219.43 fof(fact_card__atMost,axiom, % 218.86/219.43 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_n__not__Suc__n,axiom, % 218.86/219.43 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__n__not__n,axiom, % 218.86/219.43 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat_Oinject,axiom, % 218.86/219.43 ! [V_nat_H_2,V_nat_2] : % 218.86/219.43 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 218.86/219.43 <=> V_nat_2 = V_nat_H_2 ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__inject,axiom, % 218.86/219.43 ! [V_y,V_x] : % 218.86/219.43 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 218.86/219.43 => V_x = V_y ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mono__Suc,axiom, % 218.86/219.43 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 218.86/219.43 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_card__atLeastAtMost,axiom, % 218.86/219.43 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ). % 218.86/219.43 % 218.86/219.43 fof(fact_mono__iff__le__Suc,axiom, % 218.86/219.43 ! [V_f_2,T_b] : % 218.86/219.43 ( class_Orderings_Oorder(T_b) % 218.86/219.43 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2) % 218.86/219.43 <=> ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_card__UNIV__unit,axiom, % 218.86/219.43 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__neq__Zero,axiom, % 218.86/219.43 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Zero__neq__Suc,axiom, % 218.86/219.43 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat_Osimps_I3_J,axiom, % 218.86/219.43 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__not__Zero,axiom, % 218.86/219.43 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.43 % 218.86/219.43 fof(fact_nat_Osimps_I2_J,axiom, % 218.86/219.43 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Zero__not__Suc,axiom, % 218.86/219.43 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__less__eq,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__Suc__eq,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.43 | V_m_2 = V_n_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__less__eq,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__less__less__Suc__eq,axiom, % 218.86/219.43 ! [V_m_2,V_n_2] : % 218.86/219.43 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 218.86/219.43 <=> V_n_2 = V_m_2 ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__antisym,axiom, % 218.86/219.43 ! [V_m,V_n] : % 218.86/219.43 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 218.86/219.43 => V_m = V_n ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__SucI,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__lessI,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__trans__Suc,axiom, % 218.86/219.43 ! [V_k,V_j,V_i] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 218.86/219.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_less__SucE,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 218.86/219.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => V_m = V_n ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__lessD,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__less__SucD,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__Suc__shift,axiom, % 218.86/219.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__Suc,axiom, % 218.86/219.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_add__Suc__right,axiom, % 218.86/219.43 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__n__not__le__n,axiom, % 218.86/219.43 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 218.86/219.43 % 218.86/219.43 fof(fact_not__less__eq__eq,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le__Suc__eq,axiom, % 218.86/219.43 ! [V_n_2,V_m_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.43 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__le__mono,axiom, % 218.86/219.43 ! [V_m_2,V_n_2] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2))) % 218.86/219.43 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le__SucI,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_le__SucE,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 218.86/219.43 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.43 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_Suc__leD,axiom, % 218.86/219.43 ! [V_n,V_m] : % 218.86/219.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 218.86/219.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.43 % 218.86/219.43 fof(fact_bij__betw__same__card,axiom, % 218.86/219.43 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 218.86/219.43 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__Suc__Suc,axiom, % 218.86/219.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__diff__diff,axiom, % 218.86/219.44 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__mult__cancel1,axiom, % 218.86/219.44 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2) % 218.86/219.44 <=> V_m_2 = V_n_2 ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__greaterThanLessThan,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__lessThan,axiom, % 218.86/219.44 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__insert__if,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__insert__disjoint,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Least__Suc,axiom, % 218.86/219.44 ! [V_n_2,V_P_2] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,V_n_2)) % 218.86/219.44 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 218.86/219.44 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_OSuc))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 218.86/219.44 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 218.86/219.44 ( class_Rings_Osemiring__1(T_b) % 218.86/219.44 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__insert,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card_Oempty,axiom, % 218.86/219.44 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__infinite,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_inj__Suc,axiom, % 218.86/219.44 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.44 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 218.86/219.44 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__image,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_BIJ,axiom, % 218.86/219.44 ! [V_B_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.44 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 218.86/219.44 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__Suc__eq__0__disj,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.44 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 | ? [B_j] : % 218.86/219.44 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 218.86/219.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__Suc0,axiom, % 218.86/219.44 ! [V_n_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 218.86/219.44 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_gr0__conv__Suc,axiom, % 218.86/219.44 ! [V_n_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 218.86/219.44 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_one__is__add,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) % 218.86/219.44 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.44 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_add__is__1,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.44 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__add__Suc1,axiom, % 218.86/219.44 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__add__Suc2,axiom, % 218.86/219.44 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__iff__Suc__add,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.44 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__eq__Suc__le,axiom, % 218.86/219.44 ! [V_m_2,V_n_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__Suc__eq__le,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__le__eq,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_le__imp__less__Suc,axiom, % 218.86/219.44 ! [V_n,V_m] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__leI,axiom, % 218.86/219.44 ! [V_n,V_m] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_le__less__Suc__eq,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 218.86/219.44 <=> V_n_2 = V_m_2 ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__le__lessD,axiom, % 218.86/219.44 ! [V_n,V_m] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_mult__eq__1__iff,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__atLeastLessThan,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__less__Suc,axiom, % 218.86/219.44 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__mult__less__cancel1,axiom, % 218.86/219.44 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_mult__Suc,axiom, % 218.86/219.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_mult__Suc__right,axiom, % 218.86/219.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__diff__le,axiom, % 218.86/219.44 ! [V_m,V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__mult__le__cancel1,axiom, % 218.86/219.44 ! [V_n_2,V_m_2,V_k_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_One__nat__def,axiom, % 218.86/219.44 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__eq__plus1,axiom, % 218.86/219.44 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__eq__plus1__left,axiom, % 218.86/219.44 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__Suc__1,axiom, % 218.86/219.44 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__Suc__eq__diff__pred,axiom, % 218.86/219.44 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 218.86/219.44 ! [V_k_2,V_f_2] : % 218.86/219.44 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Suc__Diff1,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__eq__Suc__le__raw,axiom, % 218.86/219.44 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__eq__setsum,axiom, % 218.86/219.44 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__greaterThanAtMost,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_lessThan__Suc__atMost,axiom, % 218.86/219.44 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_lessThan__Suc,axiom, % 218.86/219.44 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_image__Suc__atLeastLessThan,axiom, % 218.86/219.44 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atMost__Suc,axiom, % 218.86/219.44 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__fun__UNIVD1,axiom, % 218.86/219.44 ! [T_c,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool)))) % 218.86/219.44 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 218.86/219.44 ! [V_n_2,V_m_2,V_f_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_image__Suc__atLeastAtMost,axiom, % 218.86/219.44 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 218.86/219.44 ! [V_n_2,V_m_2,V_f_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__eq__0__iff,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__ge__0__finite,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__insert__le,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__mono,axiom, % 218.86/219.44 ! [V_A_2,V_B_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__seteq,axiom, % 218.86/219.44 ! [V_A_2,V_B_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 218.86/219.44 => V_A_2 = V_B_2 ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__image__le,axiom, % 218.86/219.44 ! [V_f_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__0,axiom, % 218.86/219.44 ! [T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_eq__card__imp__inj__on,axiom, % 218.86/219.44 ! [V_f_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) % 218.86/219.44 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_inj__on__iff__eq__card,axiom, % 218.86/219.44 ! [V_f_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.44 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_pigeonhole,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))) % 218.86/219.44 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__add,axiom, % 218.86/219.44 ! [V_b_2,V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__mult,axiom, % 218.86/219.44 ! [V_b_2,V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__diff,axiom, % 218.86/219.44 ! [V_b_2,V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__1,axiom, % 218.86/219.44 ! [T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__minus,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__of__nat,axiom, % 218.86/219.44 ! [V_n_2,T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_psubset__card__mono,axiom, % 218.86/219.44 ! [V_A_2,V_B_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__nat__Suc,axiom, % 218.86/219.44 ! [V_m,T_a] : % 218.86/219.44 ( class_Rings_Osemiring__1(T_a) % 218.86/219.44 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__pred,axiom, % 218.86/219.44 ! [V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.44 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__Suc__less,axiom, % 218.86/219.44 ! [V_i,V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_one__less__mult,axiom, % 218.86/219.44 ! [V_m,V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_n__less__n__mult__m,axiom, % 218.86/219.44 ! [V_m,V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_n__less__m__mult__n,axiom, % 218.86/219.44 ! [V_m,V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_one__le__mult__iff,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))) % 218.86/219.44 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m_2)) % 218.86/219.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__Suc__diff__eq2,axiom, % 218.86/219.44 ! [V_m,V_j,V_k] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__Suc__diff__eq1,axiom, % 218.86/219.44 ! [V_m,V_j,V_k] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_int__Suc0__eq__1,axiom, % 218.86/219.44 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zless__iff__Suc__zadd,axiom, % 218.86/219.44 ! [V_z_2,V_w_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 218.86/219.44 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_int__Suc,axiom, % 218.86/219.44 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__eq__Suc0__iff,axiom, % 218.86/219.44 ! [V_f_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 <=> ? [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.44 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.44 & ! [B_xa] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 218.86/219.44 => ( B_x != B_xa % 218.86/219.44 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__constant,axiom, % 218.86/219.44 ! [V_A_2,V_y_2,T_c,T_b] : % 218.86/219.44 ( class_Rings_Osemiring__1(T_b) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeast__Suc__greaterThan,axiom, % 218.86/219.44 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeastAtMostSuc__conv,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.44 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_subset__card__intvl__is__intvl,axiom, % 218.86/219.44 ! [V_k_2,V_A_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))))) % 218.86/219.44 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeastLessThan__singleton,axiom, % 218.86/219.44 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__gt__0__iff,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) % 218.86/219.44 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__UNIV__card__ge__0,axiom, % 218.86/219.44 ! [T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__lessThan__Suc,axiom, % 218.86/219.44 ! [V_n_2,V_f_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Un__Int,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card_Ounion__inter,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__bij__eq,axiom, % 218.86/219.44 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 218.86/219.44 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__atMost__Suc,axiom, % 218.86/219.44 ! [V_n_2,V_f_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Diff__subset,axiom, % 218.86/219.44 ! [V_A_2,V_B_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Diff__subset__Int,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__card__le__card__Diff,axiom, % 218.86/219.44 ! [V_A_2,V_B_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__psubset,axiom, % 218.86/219.44 ! [V_A_2,V_B_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__diff__1,axiom, % 218.86/219.44 ! [V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.44 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__pred_H,axiom, % 218.86/219.44 ! [V_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.44 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_add__eq__if,axiom, % 218.86/219.44 ! [V_n,V_m] : % 218.86/219.44 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 218.86/219.44 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeast__Suc,axiom, % 218.86/219.44 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_greaterThan__Suc,axiom, % 218.86/219.44 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_not__zle__0__negative,axiom, % 218.86/219.44 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_negative__zless__0,axiom, % 218.86/219.44 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card_Oeq__fold__g,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__def,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__double__eq__0__iff,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Int_Oring__char__0(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.44 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 218.86/219.44 ! [V_k_2,V_f_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__head__upt__Suc,axiom, % 218.86/219.44 ! [V_f_2,V_n_2,V_m_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__head__Suc,axiom, % 218.86/219.44 ! [V_f_2,V_n_2,V_m_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_atLeastLessThanSuc,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.44 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 218.86/219.44 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Un__disjoint,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Diff1__le,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card_Oinsert,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__inj__on__le,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_inj__on__iff__card__le,axiom, % 218.86/219.44 ! [V_B_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.44 => ( ? [B_f] : % 218.86/219.44 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 218.86/219.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) ) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 218.86/219.44 ! [V_y,V_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_tsub__eq,axiom, % 218.86/219.44 ! [V_x,V_y] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 218.86/219.44 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 218.86/219.44 ! [V_y,V_x] : c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x),V_y)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 218.86/219.44 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__op__ivl__Suc,axiom, % 218.86/219.44 ! [V_f_2,V_m_2,V_n_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__cl__ivl__Suc,axiom, % 218.86/219.44 ! [V_f_2,V_m_2,V_n_2,T_b] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_greaterThan__0,axiom, % 218.86/219.44 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Diff1__less,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Diff2__less,axiom, % 218.86/219.44 ! [V_y_2,V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__odd__nonzero,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Int_Oring__char__0(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Diff__insert,axiom, % 218.86/219.44 ! [V_B_2,V_a_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.44 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card_Oinsert__remove,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card_Oremove,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Diff__singleton__if,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card_Ounion__inter__neutral,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.44 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__bounded,axiom, % 218.86/219.44 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 218.86/219.44 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 218.86/219.44 & class_Rings_Osemiring__1(T_c) ) % 218.86/219.44 => ( ! [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Suc__eq,axiom, % 218.86/219.44 ! [V_k_2,V_A_2,T_b] : % 218.86/219.44 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 218.86/219.44 <=> ? [B_b,B_B] : % 218.86/219.44 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 218.86/219.44 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 218.86/219.44 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 218.86/219.44 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Plus__conv__if,axiom, % 218.86/219.44 ! [V_B_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) % 218.86/219.44 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_image__atLeastZeroLessThan__int,axiom, % 218.86/219.44 ! [V_u_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 218.86/219.44 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__nonneg__0,axiom, % 218.86/219.44 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add(T_c) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 218.86/219.44 => ( ! [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 218.86/219.44 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 218.86/219.44 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__int,axiom, % 218.86/219.44 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__0,axiom, % 218.86/219.44 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 218.86/219.44 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_eq__nat__nat__iff,axiom, % 218.86/219.44 ! [V_z_H_2,V_z_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 218.86/219.44 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 218.86/219.44 <=> V_z_2 = V_z_H_2 ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 218.86/219.44 ! [V_y_2,V_x_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 218.86/219.44 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 218.86/219.44 <=> V_x_2 = V_y_2 ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_all__nat,axiom, % 218.86/219.44 ! [V_P_2] : % 218.86/219.44 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 218.86/219.44 <=> ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 218.86/219.44 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_ex__nat,axiom, % 218.86/219.44 ! [V_P_2] : % 218.86/219.44 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 218.86/219.44 <=> ? [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 218.86/219.44 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 218.86/219.44 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__set__return__embed,axiom, % 218.86/219.44 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__atLeastZeroLessThan__int,axiom, % 218.86/219.44 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__atLeastLessThan__int,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__greaterThanAtMost__int,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 218.86/219.44 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__0__iff,axiom, % 218.86/219.44 ! [V_i_2] : % 218.86/219.44 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__le__0,axiom, % 218.86/219.44 ! [V_z] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zless__nat__conj,axiom, % 218.86/219.44 ! [V_z_2,V_w_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 218.86/219.44 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 218.86/219.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__mono__iff,axiom, % 218.86/219.44 ! [V_w_2,V_z_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 218.86/219.44 ! [V_y_2,V_x_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__1,axiom, % 218.86/219.44 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__0__le,axiom, % 218.86/219.44 ! [V_z] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.44 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_int__eq__iff,axiom, % 218.86/219.44 ! [V_z_2,V_m_2] : % 218.86/219.44 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 218.86/219.44 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 218.86/219.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_int__nat__eq,axiom, % 218.86/219.44 ! [V_z] : % 218.86/219.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.44 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.44 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zless__nat__eq__int__zless,axiom, % 218.86/219.44 ! [V_z_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__zminus__int,axiom, % 218.86/219.44 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.44 % 218.86/219.44 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_b] : % 218.86/219.44 ( ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 & class_Groups_Ocomm__monoid__mult(T_b) ) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zero__less__nat__eq,axiom, % 218.86/219.44 ! [V_z_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__less__eq__zless,axiom, % 218.86/219.44 ! [V_z_2,V_w_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 218.86/219.44 ! [V_y_2,V_x_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__eq__iff2,axiom, % 218.86/219.44 ! [V_w_2,V_m_2] : % 218.86/219.44 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 218.86/219.44 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 218.86/219.44 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 218.86/219.44 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__eq__iff,axiom, % 218.86/219.44 ! [V_m_2,V_w_2] : % 218.86/219.44 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 218.86/219.44 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 218.86/219.44 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 218.86/219.44 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__le__eq__zle,axiom, % 218.86/219.44 ! [V_z_2,V_w_2] : % 218.86/219.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 218.86/219.44 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_split__nat,axiom, % 218.86/219.44 ! [V_i_2,V_P_2] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2))) % 218.86/219.44 <=> ( ! [B_n] : % 218.86/219.44 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 218.86/219.44 => hBOOL(hAPP(V_P_2,B_n)) ) % 218.86/219.44 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__add__distrib,axiom, % 218.86/219.44 ! [V_z_H,V_z] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 218.86/219.44 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 218.86/219.44 ! [V_y,V_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__mult__distrib,axiom, % 218.86/219.44 ! [V_z_H,V_z] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.44 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 218.86/219.44 ! [V_y,V_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__diff__distrib,axiom, % 218.86/219.44 ! [V_z,V_z_H] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 218.86/219.44 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__atLeastAtMost__int,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 218.86/219.44 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 218.86/219.44 ! [V_y,V_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__PlusD_I2_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_c,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__PlusD_I1_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_c,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Plus,axiom, % 218.86/219.44 ! [V_B_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Plus__iff,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_c,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) % 218.86/219.44 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__greaterThanLessThan__int,axiom, % 218.86/219.44 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_one__less__nat__eq,axiom, % 218.86/219.44 ! [V_z_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__less__iff,axiom, % 218.86/219.44 ! [V_m_2,V_w_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 218.86/219.44 ! [V_z] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.44 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__mult__distrib__neg,axiom, % 218.86/219.44 ! [V_z_H,V_z] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__Plus,axiom, % 218.86/219.44 ! [V_B_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_UNIV__Plus__UNIV,axiom, % 218.86/219.44 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__aux__def,axiom, % 218.86/219.44 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__morphism__nat__int,axiom, % 218.86/219.44 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Plus__eq__empty__conv,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_c,T_b] : % 218.86/219.44 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) % 218.86/219.44 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( c_Nat__Transfer_Ois__nat(V_m_2) % 218.86/219.44 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 218.86/219.44 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_n_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 218.86/219.44 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 218.86/219.44 ! [V_y,V_x] : % 218.86/219.44 ( c_Nat__Transfer_Ois__nat(V_x) % 218.86/219.44 => ( c_Nat__Transfer_Ois__nat(V_y) % 218.86/219.44 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 218.86/219.44 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 218.86/219.44 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 218.86/219.44 ! [V_y,V_x] : % 218.86/219.44 ( c_Nat__Transfer_Ois__nat(V_x) % 218.86/219.44 => ( c_Nat__Transfer_Ois__nat(V_y) % 218.86/219.44 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 218.86/219.44 ! [V_y,V_x] : % 218.86/219.44 ( c_Nat__Transfer_Ois__nat(V_x) % 218.86/219.44 => ( c_Nat__Transfer_Ois__nat(V_y) % 218.86/219.44 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_is__nat__def,axiom, % 218.86/219.44 ! [V_x_2] : % 218.86/219.44 ( c_Nat__Transfer_Ois__nat(V_x_2) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 218.86/219.44 ! [V_f_2,V_A_2,T_b] : % 218.86/219.44 ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.44 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 218.86/219.44 ! [V_f_2,V_A_2,T_b] : % 218.86/219.44 ( ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 & class_Groups_Ocomm__monoid__mult(T_b) ) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 218.86/219.44 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__set__def,axiom, % 218.86/219.44 ! [V_S_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_S_2) % 218.86/219.44 <=> ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 218.86/219.44 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => ( V_A_2 = V_B_2 % 218.86/219.44 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 218.86/219.44 ! [V_y_2,V_x_2] : % 218.86/219.44 ( c_Nat__Transfer_Ois__nat(V_x_2) % 218.86/219.44 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 218.86/219.44 ! [V_x_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 218.86/219.44 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 218.86/219.44 ! [V_y_2,V_x_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 218.86/219.44 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 218.86/219.44 ! [V_x_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__set__return__embed,axiom, % 218.86/219.44 ! [V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 218.86/219.44 ! [V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 218.86/219.44 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 218.86/219.44 ! [V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 218.86/219.44 ! [V_A_2,V_x_2] : % 218.86/219.44 ( c_Nat__Transfer_Ois__nat(V_x_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 218.86/219.44 ! [V_B_2,V_A_2] : % 218.86/219.44 ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__of__nat,axiom, % 218.86/219.44 ! [V_k,T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__nonneg__leq__bound,axiom, % 218.86/219.44 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add(T_c) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 218.86/219.44 => ( ! [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 218.86/219.44 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sum__diff__distrib,axiom, % 218.86/219.44 ! [V_n_2,V_P_2,V_Q_2] : % 218.86/219.44 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x))) % 218.86/219.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_decr__mult__lemma,axiom, % 218.86/219.44 ! [V_k_2,V_P_2,V_d_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,B_x)) % 218.86/219.44 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 218.86/219.44 => ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,B_x)) % 218.86/219.44 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_negD,axiom, % 218.86/219.44 ! [V_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__eq__iff,axiom, % 218.86/219.44 ! [V_z_2,V_w_2,T_b] : % 218.86/219.44 ( class_Int_Oring__char__0(T_b) % 218.86/219.44 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 218.86/219.44 <=> V_w_2 = V_z_2 ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__int__eq,axiom, % 218.86/219.44 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__0,axiom, % 218.86/219.44 ! [T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__0__eq__iff,axiom, % 218.86/219.44 ! [V_z_2,T_b] : % 218.86/219.44 ( class_Int_Oring__char__0(T_b) % 218.86/219.44 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 218.86/219.44 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__eq__0__iff,axiom, % 218.86/219.44 ! [V_z_2,T_b] : % 218.86/219.44 ( class_Int_Oring__char__0(T_b) % 218.86/219.44 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.44 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__le__iff,axiom, % 218.86/219.44 ! [V_z_2,V_w_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__less__iff,axiom, % 218.86/219.44 ! [V_z_2,V_w_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__add,axiom, % 218.86/219.44 ! [V_z,V_w,T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__mult,axiom, % 218.86/219.44 ! [V_z,V_w,T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__1,axiom, % 218.86/219.44 ! [T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__diff,axiom, % 218.86/219.44 ! [V_z,V_w,T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__of__nat__eq,axiom, % 218.86/219.44 ! [V_n,T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__minus,axiom, % 218.86/219.44 ! [V_z,T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Ints__of__int,axiom, % 218.86/219.44 ! [V_z_2,T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__setsum,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( class_Rings_Oring__1(T_b) % 218.86/219.44 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__0__le__iff,axiom, % 218.86/219.44 ! [V_z_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__le__0__iff,axiom, % 218.86/219.44 ! [V_z_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__0__less__iff,axiom, % 218.86/219.44 ! [V_z_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__int__less__0__iff,axiom, % 218.86/219.44 ! [V_z_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_of__nat__nat,axiom, % 218.86/219.44 ! [V_z,T_a] : % 218.86/219.44 ( class_Rings_Oring__1(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.44 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_incr__mult__lemma,axiom, % 218.86/219.44 ! [V_k_2,V_P_2,V_d_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,B_x)) % 218.86/219.44 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 218.86/219.44 => ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,B_x)) % 218.86/219.44 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_ex__least__nat__less,axiom, % 218.86/219.44 ! [V_n_2,V_P_2] : % 218.86/219.44 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 218.86/219.44 => ( hBOOL(hAPP(V_P_2,V_n_2)) % 218.86/219.44 => ? [B_k] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 218.86/219.44 & ! [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 218.86/219.44 => ~ hBOOL(hAPP(V_P_2,B_i)) ) % 218.86/219.44 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zero__less__imp__eq__int,axiom, % 218.86/219.44 ! [V_k] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 218.86/219.44 => ? [B_n] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 218.86/219.44 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__mono__zero__left,axiom, % 218.86/219.44 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 218.86/219.44 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__mono__zero__right,axiom, % 218.86/219.44 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 218.86/219.44 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__if,axiom, % 218.86/219.44 ! [V_x,T_a] : % 218.86/219.44 ( class_Groups_Osgn__if(T_a) % 218.86/219.44 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 218.86/219.44 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__neg,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__1__neg,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_decr__lemma,axiom, % 218.86/219.44 ! [V_z,V_x,V_d] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))),V_z)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_incr__lemma,axiom, % 218.86/219.44 ! [V_x,V_z,V_d] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__abs,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__abs__ge__zero,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__add__abs,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__mult__self,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__mult,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__minus__commute,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__one,axiom, % 218.86/219.44 ! [T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__minus__cancel,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__of__nat,axiom, % 218.86/219.44 ! [V_n,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__le__D1,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__ge__self,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__sgn,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__idempotent,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_mult__sgn__abs,axiom, % 218.86/219.44 ! [V_x,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__sgn,axiom, % 218.86/219.44 ! [V_k,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__eq__0,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 218.86/219.44 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.44 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__zero,axiom, % 218.86/219.44 ! [T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__int__eq,axiom, % 218.86/219.44 ! [V_m] : hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__setsum__abs,axiom, % 218.86/219.44 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__0__0,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.44 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn0,axiom, % 218.86/219.44 ! [T_a] : % 218.86/219.44 ( class_Groups_Osgn__if(T_a) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__times,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__of__nonneg,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__le__zero__iff,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.44 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__ge__zero,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__of__pos,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zero__less__abs__iff,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2))) % 218.86/219.44 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__not__less__zero,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__triangle__ineq,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__mult__less,axiom, % 218.86/219.44 ! [V_d,V_b,V_c,V_a,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__triangle__ineq3,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__triangle__ineq2,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__triangle__ineq2__sym,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__le__D2,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__leI,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__le__iff,axiom, % 218.86/219.44 ! [V_b_2,V_a_2,T_b] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 218.86/219.44 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 218.86/219.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__ge__minus__self,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__less__iff,axiom, % 218.86/219.44 ! [V_b_2,V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 218.86/219.44 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 218.86/219.44 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__zmult__eq__1,axiom, % 218.86/219.44 ! [V_n,V_m] : % 218.86/219.44 ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__mult__pos,axiom, % 218.86/219.44 ! [V_y,V_x,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__eq__mult,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Rings_Oordered__ring__abs(T_a) % 218.86/219.44 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.44 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 218.86/219.44 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.44 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__triangle__ineq4,axiom, % 218.86/219.44 ! [V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__diff__triangle__ineq,axiom, % 218.86/219.44 ! [V_d,V_c,V_b,V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__of__nonpos,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__minus__le__zero,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__of__neg,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_abs__if,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Groups_Oabs__if(T_a) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zabs__less__one__iff,axiom, % 218.86/219.44 ! [V_z_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) % 218.86/219.44 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zabs__def,axiom, % 218.86/219.44 ! [V_i] : % 218.86/219.44 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.44 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__abs__mult__distrib,axiom, % 218.86/219.44 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__less,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__greater,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2))) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__1__pos,axiom, % 218.86/219.44 ! [V_a_2,T_b] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.44 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 218.86/219.44 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sgn__pos,axiom, % 218.86/219.44 ! [V_a,T_a] : % 218.86/219.44 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_zsgn__def,axiom, % 218.86/219.44 ! [V_i] : % 218.86/219.44 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.44 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.44 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 218.86/219.44 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nitpick_Oint__lcm__def,axiom, % 218.86/219.44 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 218.86/219.44 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 218.86/219.44 ( ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.44 & class_Groups_Ocomm__monoid__mult(T_b) ) % 218.86/219.44 => ( V_A_2 = V_B_2 % 218.86/219.44 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 218.86/219.44 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__Suc,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_int__val__lemma,axiom, % 218.86/219.44 ! [V_k_2,V_f_2,V_n_2] : % 218.86/219.44 ( ! [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 218.86/219.44 => ? [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 218.86/219.44 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat0__intermed__int__val,axiom, % 218.86/219.44 ! [V_k_2,V_f_2,V_n_2] : % 218.86/219.44 ( ! [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 218.86/219.44 => ? [B_i] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 218.86/219.44 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__case__0,axiom, % 218.86/219.44 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__case__Suc,axiom, % 218.86/219.44 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__less__Suc,axiom, % 218.86/219.44 ! [V_i_2,V_M_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 218.86/219.44 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__less,axiom, % 218.86/219.44 ! [V_i_2,V_M_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_card__less__Suc2,axiom, % 218.86/219.44 ! [V_i_2,V_M_2] : % 218.86/219.44 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 218.86/219.44 ! [V_M_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 218.86/219.44 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_inj__on__diff__nat,axiom, % 218.86/219.44 ! [V_k_2,V_N_2] : % 218.86/219.44 ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 218.86/219.44 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_CollectI,axiom, % 218.86/219.44 ! [T_b,V_a_2,V_P_2] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,V_a_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Collect__conjI,axiom, % 218.86/219.44 ! [V_Q_2,V_P_2,T_b] : % 218.86/219.44 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Collect__less__nat,axiom, % 218.86/219.44 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Collect__le__nat,axiom, % 218.86/219.44 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__def,axiom, % 218.86/219.44 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ). % 218.86/219.44 % 218.86/219.44 fof(fact_empty__Collect__eq,axiom, % 218.86/219.44 ! [V_P_2,T_b] : % 218.86/219.44 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2) % 218.86/219.44 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__empty__eq,axiom, % 218.86/219.44 ! [V_P_2,T_b] : % 218.86/219.44 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__mem__eq,axiom, % 218.86/219.44 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ). % 218.86/219.44 % 218.86/219.44 fof(fact_mem__Collect__eq,axiom, % 218.86/219.44 ! [V_P_2,V_a_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_CollectD,axiom, % 218.86/219.44 ! [V_P_2,V_a_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_CollectE,axiom, % 218.86/219.44 ! [V_P_2,V_a_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 => hBOOL(hAPP(V_P_2,V_a_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_empty__def,axiom, % 218.86/219.44 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Collect__disjI,axiom, % 218.86/219.44 ! [V_Q_2,V_P_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)))) % 218.86/219.44 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_insert__Collect,axiom, % 218.86/219.44 ! [V_P_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_UNIV__def,axiom, % 218.86/219.44 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__disj__eq,axiom, % 218.86/219.44 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__conj__eq,axiom, % 218.86/219.44 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__neg__eq,axiom, % 218.86/219.44 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_vimage__Collect__eq,axiom, % 218.86/219.44 ! [V_P_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_P_2),V_f_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_insert__compr,axiom, % 218.86/219.44 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_insert__compr__raw,axiom, % 218.86/219.44 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Un__def,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Int__def,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Int__Collect,axiom, % 218.86/219.44 ! [V_P_2,V_A_2,V_x_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))) % 218.86/219.44 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.44 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_singleton__conv2,axiom, % 218.86/219.44 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_singleton__conv,axiom, % 218.86/219.44 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__conv__if2,axiom, % 218.86/219.44 ! [T_b,V_a_2,V_P_2] : % 218.86/219.44 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 218.86/219.44 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 218.86/219.44 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__conv__if,axiom, % 218.86/219.44 ! [T_b,V_a_2,V_P_2] : % 218.86/219.44 ( ( hBOOL(hAPP(V_P_2,V_a_2)) % 218.86/219.44 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(V_P_2,V_a_2)) % 218.86/219.44 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_set__diff__eq,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Collect__not,axiom, % 218.86/219.44 ! [V_P_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)))) % 218.86/219.44 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_insert__def,axiom, % 218.86/219.44 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Compl__eq,axiom, % 218.86/219.44 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_vimage__def,axiom, % 218.86/219.44 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Collect__imp__eq,axiom, % 218.86/219.44 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__M__bounded__by__nat,axiom, % 218.86/219.44 ! [V_i_2,V_P_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_P_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__setsum__restrict,axiom, % 218.86/219.44 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_d) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_if__image__distrib,axiom, % 218.86/219.44 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_P_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_P_2))))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_nat__seg__image__imp__finite,axiom, % 218.86/219.44 ! [V_n_2,V_f_2,T_b,V_A_2] : % 218.86/219.44 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2))) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__restrict__set_H,axiom, % 218.86/219.44 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__image__gen,axiom, % 218.86/219.44 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__cases,axiom, % 218.86/219.44 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] : % 218.86/219.44 ( class_Groups_Ocomm__monoid__add(T_c) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))))) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 218.86/219.44 ! [V_n_2,V_m_2] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 218.86/219.44 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__multicount,axiom, % 218.86/219.44 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 ) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_ex__bij__betw__nat__finite,axiom, % 218.86/219.44 ! [V_M_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 218.86/219.44 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_lfp__induct__set,axiom, % 218.86/219.44 ! [V_P_2,V_f_2,V_a_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) % 218.86/219.44 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 218.86/219.44 => hBOOL(hAPP(V_P_2,B_x)) ) % 218.86/219.44 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_def__lfp__induct__set,axiom, % 218.86/219.44 ! [V_P_2,V_a_2,V_f_2,T_b,V_A_2] : % 218.86/219.44 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.44 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))))) % 218.86/219.44 => hBOOL(hAPP(V_P_2,B_x)) ) % 218.86/219.44 => hBOOL(hAPP(V_P_2,V_a_2)) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_def__Collect__coinduct,axiom, % 218.86/219.44 ! [V_X_2,V_a_2,V_P_2,T_b,V_A_2] : % 218.86/219.44 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 218.86/219.44 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_P_2)) % 218.86/219.44 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2)) % 218.86/219.44 => ( ! [B_z] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2)) % 218.86/219.44 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) ) % 218.86/219.44 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Collect__subsets,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Pow__def,axiom, % 218.86/219.44 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 218.86/219.44 ! [V_P_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 218.86/219.44 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 218.86/219.44 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_P_2),c_Int_Onat)))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_setsum__multicount__gen,axiom, % 218.86/219.44 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 218.86/219.44 => ( ! [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 218.86/219.44 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) ) % 218.86/219.44 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_inf__Sup2__distrib,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : % 218.86/219.44 ( class_Lattices_Odistrib__lattice(T_b) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_inf__Sup1__distrib,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( class_Lattices_Odistrib__lattice(T_b) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sup__Inf2__distrib,axiom, % 218.86/219.44 ! [V_B_2,V_A_2,T_b] : % 218.86/219.44 ( class_Lattices_Odistrib__lattice(T_b) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.44 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_sup__Inf1__distrib,axiom, % 218.86/219.44 ! [V_x_2,V_A_2,T_b] : % 218.86/219.44 ( class_Lattices_Odistrib__lattice(T_b) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__image__set,axiom, % 218.86/219.44 ! [V_f_2,T_c,V_P_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_P_2))))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__Collect__bounded__ex,axiom, % 218.86/219.44 ! [V_Q_2,T_c,V_P_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2))) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))))) % 218.86/219.44 <=> ! [B_y] : % 218.86/219.44 ( hBOOL(hAPP(V_P_2,B_y)) % 218.86/219.44 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_Pow__Compl,axiom, % 218.86/219.44 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_add__Min__commute,axiom, % 218.86/219.44 ! [V_k_2,V_N_2,T_b] : % 218.86/219.44 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.44 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_add__Max__commute,axiom, % 218.86/219.44 ! [V_k_2,V_N_2,T_b] : % 218.86/219.44 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.44 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_finite__conv__nat__seg__image,axiom, % 218.86/219.44 ! [V_A_2,T_b] : % 218.86/219.44 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_pigeonhole__infinite,axiom, % 218.86/219.44 ! [V_f_2,T_c,V_A_2,T_b] : % 218.86/219.44 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.44 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 218.86/219.44 => ? [B_x] : % 218.86/219.44 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.44 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_diff__nat__eq__if,axiom, % 218.86/219.44 ! [V_z_2,V_z_H_2] : % 218.86/219.44 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) ) % 218.86/219.44 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 218.86/219.44 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ). % 218.86/219.44 % 218.86/219.44 fof(fact_not__neg__0,axiom, % 218.86/219.44 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.44 % 218.86/219.44 fof(fact_not__neg__int,axiom, % 218.86/219.44 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 218.86/219.44 % 218.86/219.45 fof(fact_not__neg__1,axiom, % 218.86/219.45 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 218.86/219.45 % 218.86/219.45 fof(fact_minus__Min__eq__Max,axiom, % 218.86/219.45 ! [V_S_2,T_b] : % 218.86/219.45 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.45 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_minus__Max__eq__Min,axiom, % 218.86/219.45 ! [V_S_2,T_b] : % 218.86/219.45 ( class_Groups_Olinordered__ab__group__add(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.45 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Osingleton,axiom, % 218.86/219.45 ! [V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Osingleton,axiom, % 218.86/219.45 ! [V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_not__neg__eq__ge__0,axiom, % 218.86/219.45 ! [V_x_2] : % 218.86/219.45 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__def,axiom, % 218.86/219.45 ! [V_Z_2] : % 218.86/219.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__nat,axiom, % 218.86/219.45 ! [V_z] : % 218.86/219.45 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 218.86/219.45 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_not__neg__nat,axiom, % 218.86/219.45 ! [V_z] : % 218.86/219.45 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 218.86/219.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max__ge,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min__le,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min__in,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max__in,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__zminus__int,axiom, % 218.86/219.45 ! [V_n] : hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max__mono,axiom, % 218.86/219.45 ! [V_N_2,V_M_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 218.86/219.45 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min__antimono,axiom, % 218.86/219.45 ! [V_N_2,V_M_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 218.86/219.45 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Oremove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Oremove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setsum__SucD,axiom, % 218.86/219.45 ! [V_n_2,V_A_2,V_f_2,T_b] : % 218.86/219.45 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2) % 218.86/219.45 => ? [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Cantor__Bernstein,axiom, % 218.86/219.45 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.45 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2)) % 218.86/219.45 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2)) % 218.86/219.45 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Oremove,axiom, % 218.86/219.45 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__of__mono,axiom, % 218.86/219.45 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 218.86/219.45 ( ( class_Orderings_Olinorder(T_c) % 218.86/219.45 & class_Orderings_Olinorder(T_b) ) % 218.86/219.45 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_m_2),V_n_2)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__of__mono,axiom, % 218.86/219.45 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] : % 218.86/219.45 ( ( class_Orderings_Olinorder(T_c) % 218.86/219.45 & class_Orderings_Olinorder(T_b) ) % 218.86/219.45 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_m_2),V_n_2)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_of__int__setprod,axiom, % 218.86/219.45 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.45 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 218.86/219.45 & class_Rings_Oring__1(T_b) ) % 218.86/219.45 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 218.86/219.45 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_le__max__iff__disj,axiom, % 218.86/219.45 ! [V_y_2,V_x_2,V_z_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 218.86/219.45 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__supE,axiom, % 218.86/219.45 ! [V_x,V_b,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) % 218.86/219.45 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 218.86/219.45 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__mono,axiom, % 218.86/219.45 ! [V_d,V_b,V_c,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__least,axiom, % 218.86/219.45 ! [V_z,V_x,V_y,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__supI,axiom, % 218.86/219.45 ! [V_b,V_x,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__absorb1,axiom, % 218.86/219.45 ! [V_x,V_y,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__absorb2,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__supI2,axiom, % 218.86/219.45 ! [V_a,V_b,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__supI1,axiom, % 218.86/219.45 ! [V_b,V_a,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__sup__iff,axiom, % 218.86/219.45 ! [V_z_2,V_y_2,V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__iff__sup,axiom, % 218.86/219.45 ! [V_y_2,V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.45 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_le__maxI2,axiom, % 218.86/219.45 ! [V_x,V_y,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_le__maxI1,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__le__iff__disj,axiom, % 218.86/219.45 ! [V_z_2,V_y_2,V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 218.86/219.45 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__infE,axiom, % 218.86/219.45 ! [V_b,V_a,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) % 218.86/219.45 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 218.86/219.45 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__mono,axiom, % 218.86/219.45 ! [V_d,V_b,V_c,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__greatest,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__infI,axiom, % 218.86/219.45 ! [V_b,V_a,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__absorb2,axiom, % 218.86/219.45 ! [V_x,V_y,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__absorb1,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__infI2,axiom, % 218.86/219.45 ! [V_a,V_x,V_b,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__infI1,axiom, % 218.86/219.45 ! [V_b,V_x,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__inf__iff,axiom, % 218.86/219.45 ! [V_z_2,V_y_2,V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2))) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ole__iff__inf,axiom, % 218.86/219.45 ! [V_y_2,V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 218.86/219.45 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__le2,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__le1,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oless__supI2,axiom, % 218.86/219.45 ! [V_a,V_b,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oless__supI1,axiom, % 218.86/219.45 ! [V_b,V_a,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__less__iff__conj,axiom, % 218.86/219.45 ! [V_z_2,V_y_2,V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2)) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_less__max__iff__disj,axiom, % 218.86/219.45 ! [V_y_2,V_x_2,V_z_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2))) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 218.86/219.45 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oless__infI2,axiom, % 218.86/219.45 ! [V_a,V_x,V_b,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oless__infI1,axiom, % 218.86/219.45 ! [V_b,V_x,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__less__iff__disj,axiom, % 218.86/219.45 ! [V_z_2,V_y_2,V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2)) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 218.86/219.45 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__less__iff__conj,axiom, % 218.86/219.45 ! [V_y_2,V_x_2,V_z_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2))) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__add__distrib__left,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__add__distrib__left,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__diff__distrib__left,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Groups_Oordered__ab__group__add(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__diff__distrib__left,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Groups_Oordered__ab__group__add(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__0L,axiom, % 218.86/219.45 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__0R,axiom, % 218.86/219.45 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__0L,axiom, % 218.86/219.45 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__0R,axiom, % 218.86/219.45 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__Suc__Suc,axiom, % 218.86/219.45 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__Suc__Suc,axiom, % 218.86/219.45 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Odistrib__inf__le,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Odistrib__sup__le,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Oidem,axiom, % 218.86/219.45 ! [V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Oidem,axiom, % 218.86/219.45 ! [V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup_Oidem,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf_Oidem,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup_Ocommute,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__commute,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf_Ocommute,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__commute,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__inf__absorb,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__sup__absorb,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup_Oleft__idem,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__left__idem,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__left__idem,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup_Oleft__commute,axiom, % 218.86/219.45 ! [V_c,V_a,V_b,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__left__commute,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 218.86/219.45 ! [V_c,V_a,V_b,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__left__commute,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__inf__distrib1,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup_Oassoc,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__assoc,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf_Oassoc,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__assoc,axiom, % 218.86/219.45 ! [V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__inf__distrib2,axiom, % 218.86/219.45 ! [V_x,V_z,V_y,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 218.86/219.45 ! [V_x,V_z,V_y,T_a] : % 218.86/219.45 ( class_Orderings_Olinorder(T_a) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_minus__max__eq__min,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Groups_Olinordered__ab__group__add(T_a) % 218.86/219.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_minus__min__eq__max,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Groups_Olinordered__ab__group__add(T_a) % 218.86/219.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_of__nat__setprod,axiom, % 218.86/219.45 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.45 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 218.86/219.45 & class_Rings_Osemiring__1(T_b) ) % 218.86/219.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_int__setprod,axiom, % 218.86/219.45 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__diff,axiom, % 218.86/219.45 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__atLeastLessThan,axiom, % 218.86/219.45 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__atLeastAtMost,axiom, % 218.86/219.45 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__greaterThanAtMost,axiom, % 218.86/219.45 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_inf__min,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( ( class_Lattices_Osemilattice__inf(T_b) % 218.86/219.45 & class_Orderings_Olinorder(T_b) ) % 218.86/219.45 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_sup__max,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( ( class_Lattices_Osemilattice__sup(T_b) % 218.86/219.45 & class_Orderings_Olinorder(T_b) ) % 218.86/219.45 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__greaterThanLessThan,axiom, % 218.86/219.45 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__timesf,axiom, % 218.86/219.45 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_b) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__1,axiom, % 218.86/219.45 ! [V_A_2,T_c,T_b] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_b) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_abs__setprod,axiom, % 218.86/219.45 ! [V_A_2,V_f_2,T_c,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 218.86/219.45 ! [V_A_2,V_f_2,T_b] : % 218.86/219.45 ( ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.45 & class_Groups_Ocomm__monoid__mult(T_b) ) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__zero,axiom, % 218.86/219.45 ! [V_f_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ? [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__zero__iff,axiom, % 218.86/219.45 ! [V_f_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( ( class_Rings_Ocomm__semiring__1(T_c) % 218.86/219.45 & class_Rings_Ono__zero__divisors(T_c) ) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) % 218.86/219.45 <=> ? [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__empty,axiom, % 218.86/219.45 ! [V_f_2,T_c,T_b] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_b) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Oempty,axiom, % 218.86/219.45 ! [V_g_2,T_c,T_b] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_b) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__infinite,axiom, % 218.86/219.45 ! [V_f_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Oinfinite,axiom, % 218.86/219.45 ! [V_g_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__eq__1__iff,axiom, % 218.86/219.45 ! [V_f_2,V_F_2,T_b] : % 218.86/219.45 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 218.86/219.45 <=> ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 218.86/219.45 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 218.86/219.45 ! [V_f_2,V_A_2,T_b] : % 218.86/219.45 ( ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.45 & class_Groups_Ocomm__monoid__mult(T_b) ) % 218.86/219.45 => ( c_Nat__Transfer_Onat__set(V_A_2) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nat__minus__add__max,axiom, % 218.86/219.45 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Odistrib,axiom, % 218.86/219.45 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__pos__nat__iff,axiom, % 218.86/219.45 ! [V_f_2,V_S_2,T_b] : % 218.86/219.45 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) % 218.86/219.45 <=> ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__reindex__cong,axiom, % 218.86/219.45 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_d) % 218.86/219.45 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.45 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 218.86/219.45 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__reindex,axiom, % 218.86/219.45 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_d) % 218.86/219.45 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__Suc1,axiom, % 218.86/219.45 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),V_m_2) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__Suc2,axiom, % 218.86/219.45 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_n_2)),V_m_2) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__delta_H,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__delta,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Oin__idem,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Oin__idem,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Omono__sup,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 218.86/219.45 ( ( class_Lattices_Osemilattice__sup(T_c) % 218.86/219.45 & class_Orderings_Olinorder(T_b) ) % 218.86/219.45 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_A_2),V_B_2)))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Omono__inf,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 218.86/219.45 ( ( class_Lattices_Osemilattice__inf(T_c) % 218.86/219.45 & class_Orderings_Olinorder(T_b) ) % 218.86/219.45 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__atLeastAtMostR1,axiom, % 218.86/219.45 ! [V_d_2,V_c_2,V_b_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__atLeastAtMostL1,axiom, % 218.86/219.45 ! [V_d_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__atLeastAtMostR2,axiom, % 218.86/219.45 ! [V_d_2,V_c_2,V_a_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Int__atLeastAtMostL2,axiom, % 218.86/219.45 ! [V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_OF__eq,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_OF__eq,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Oinsert,axiom, % 218.86/219.45 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__insert,axiom, % 218.86/219.45 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__Un__Int,axiom, % 218.86/219.45 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Ounion__inter,axiom, % 218.86/219.45 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Oreindex,axiom, % 218.86/219.45 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Oeq__fold,axiom, % 218.86/219.45 ! [V_g_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_OF__eq,axiom, % 218.86/219.45 ! [V_g_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__Suc1,axiom, % 218.86/219.45 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),V_m_2) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__Suc2,axiom, % 218.86/219.45 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_n_2)),V_m_2) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Ofold1__belowI,axiom, % 218.86/219.45 ! [V_a_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_fold1__below__iff,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 218.86/219.45 <=> ? [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Obelow__fold1__iff,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 218.86/219.45 <=> ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_fold1__strict__below__iff,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2)) % 218.86/219.45 <=> ? [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_strict__below__fold1__iff,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) % 218.86/219.45 <=> ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max__insert,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min__insert,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Osubset__idem,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Osubset__idem,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max__Un,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min__Un,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Oinsert__remove,axiom, % 218.86/219.45 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__Un__disjoint,axiom, % 218.86/219.45 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Ounion__disjoint,axiom, % 218.86/219.45 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Oinsert,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Oinsert,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_fold1__antimono,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Oinsert__remove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Ounion__inter,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Ounion__disjoint,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Oinsert__remove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Ounion__inter,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Ounion__disjoint,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_dual__min,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_dual__max,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_max__ord__max,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( class_Orderings_Oord(T_b) % 218.86/219.45 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__ord__min,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( class_Orderings_Oord(T_b) % 218.86/219.45 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_inf__nat__def,axiom, % 218.86/219.45 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 218.86/219.45 % 218.86/219.45 fof(fact_sup__nat__def,axiom, % 218.86/219.45 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 218.86/219.45 ! [V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__Inf__absorb,axiom, % 218.86/219.45 ! [V_a_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Oremove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 218.86/219.45 ! [V_f_2,V_A_2,T_b] : % 218.86/219.45 ( ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.45 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 218.86/219.45 ! [V_x_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 218.86/219.45 ! [V_a_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 218.86/219.45 ! [V_B_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Oremove,axiom, % 218.86/219.45 ! [V_x_2,V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.45 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 218.86/219.45 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__le__Sup,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Max_Oclosed,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Min_Oclosed,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod_Ounion__inter__neutral,axiom, % 218.86/219.45 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.45 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__Un__one,axiom, % 218.86/219.45 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 218.86/219.45 => ( ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))) % 218.86/219.45 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__gen__delta,axiom, % 218.86/219.45 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__diff1,axiom, % 218.86/219.45 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Fields_Ofield(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 218.86/219.45 ! [V_N_2,V_h_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.45 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 218.86/219.45 ! [V_n,V_x] : % 218.86/219.45 ( c_Nat__Transfer_Ois__nat(V_x) % 218.86/219.45 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_of__int__power,axiom, % 218.86/219.45 ! [V_n,V_z,T_a] : % 218.86/219.45 ( class_Rings_Oring__1(T_a) % 218.86/219.45 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 218.86/219.45 ! [V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zpower__zpower,axiom, % 218.86/219.45 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__zero,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__zero__left,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_add__divide__distrib,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_times__divide__eq__right,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_diff__divide__distrib,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 218.86/219.45 ! [V_q,V_y,V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__1,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_minus__divide__left,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_int__power,axiom, % 218.86/219.45 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zpower__int,axiom, % 218.86/219.45 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 218.86/219.45 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 218.86/219.45 ! [V_q,V_p,V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 218.86/219.45 ! [V_n,V_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nat__power__eq,axiom, % 218.86/219.45 ! [V_n,V_z] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 218.86/219.45 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setsum__divide__distrib,axiom, % 218.86/219.45 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 218.86/219.45 ( class_Fields_Ofield(T_b) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nonzero__eq__divide__eq,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_b) % 218.86/219.45 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 218.86/219.45 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nonzero__divide__eq__eq,axiom, % 218.86/219.45 ! [V_a_2,V_b_2,V_c_2,T_b] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_b) % 218.86/219.45 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 218.86/219.45 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__eq__imp,axiom, % 218.86/219.45 ! [V_a,V_b,V_c,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_eq__divide__imp,axiom, % 218.86/219.45 ! [V_b,V_a,V_c,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 218.86/219.45 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__self__if,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 218.86/219.45 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 218.86/219.45 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__self,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_right__inverse__eq,axiom, % 218.86/219.45 ! [V_a_2,V_b_2,T_b] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_b) % 218.86/219.45 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 218.86/219.45 <=> V_a_2 = V_b_2 ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nonzero__minus__divide__right,axiom, % 218.86/219.45 ! [V_a,V_b,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nonzero__minus__divide__divide,axiom, % 218.86/219.45 ! [V_a,V_b,T_a] : % 218.86/219.45 ( class_Rings_Odivision__ring(T_a) % 218.86/219.45 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 218.86/219.45 ! [V_q,V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 218.86/219.45 ! [V_q,V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 218.86/219.45 ! [V_q,V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 218.86/219.45 ! [V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 218.86/219.45 ! [V_q,V_p,V_x,T_a] : % 218.86/219.45 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 218.86/219.45 ! [V_n,V_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zpower__zadd__distrib,axiom, % 218.86/219.45 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Ints__power,axiom, % 218.86/219.45 ! [V_n_2,V_a_2,T_b] : % 218.86/219.45 ( class_Rings_Oring__1(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__dividef,axiom, % 218.86/219.45 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_geometric__sum,axiom, % 218.86/219.45 ! [V_n_2,V_x_2,T_b] : % 218.86/219.45 ( class_Fields_Ofield(T_b) % 218.86/219.45 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zero__le__zpower__abs,axiom, % 218.86/219.45 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__constant,axiom, % 218.86/219.45 ! [V_y_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__eq__if,axiom, % 218.86/219.45 ! [V_p,V_m] : % 218.86/219.45 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 218.86/219.45 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zero__less__zpower__abs__iff,axiom, % 218.86/219.45 ! [V_n_2,V_x_2] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_n_2))) % 218.86/219.45 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.45 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_card__Pow,axiom, % 218.86/219.45 ! [V_A_2,T_b] : % 218.86/219.45 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__strict__mono,axiom, % 218.86/219.45 ! [V_n,V_b,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__diff,axiom, % 218.86/219.45 ! [V_m,V_n,V_a,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_one__less__power,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__increasing__iff,axiom, % 218.86/219.45 ! [V_y_2,V_x_2,V_b_2,T_b] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_field__power__not__zero,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 218.86/219.45 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__Suc__0,axiom, % 218.86/219.45 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 218.86/219.45 ! [V_m_2,V_x_2] : % 218.86/219.45 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 218.86/219.45 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.45 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nat__power__less__imp__less,axiom, % 218.86/219.45 ! [V_n,V_m,V_i] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nat__zero__less__power__iff,axiom, % 218.86/219.45 ! [V_n_2,V_x_2] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2))) % 218.86/219.45 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 218.86/219.45 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__mult__distrib,axiom, % 218.86/219.45 ! [V_n,V_b,V_a,T_a] : % 218.86/219.45 ( class_Groups_Ocomm__monoid__mult(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__commutes,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__one,axiom, % 218.86/219.45 ! [V_n,T_a] : % 218.86/219.45 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_of__nat__power,axiom, % 218.86/219.45 ! [V_n,V_m,T_a] : % 218.86/219.45 ( class_Rings_Osemiring__1(T_a) % 218.86/219.45 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__mult,axiom, % 218.86/219.45 ! [V_n,V_m,V_a,T_a] : % 218.86/219.45 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__divide,axiom, % 218.86/219.45 ! [V_n,V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__abs,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__one__right,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zero__le__power,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__mono,axiom, % 218.86/219.45 ! [V_n,V_b,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zero__less__power,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__eq__0__iff,axiom, % 218.86/219.45 ! [V_n_2,V_a_2,T_b] : % 218.86/219.45 ( ( class_Power_Opower(T_b) % 218.86/219.45 & class_Rings_Omult__zero(T_b) % 218.86/219.45 & class_Rings_Ono__zero__divisors(T_b) % 218.86/219.45 & class_Rings_Ozero__neq__one(T_b) ) % 218.86/219.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_one__le__power,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__0__Suc,axiom, % 218.86/219.45 ! [V_n,T_a] : % 218.86/219.45 ( ( class_Power_Opower(T_a) % 218.86/219.45 & class_Rings_Osemiring__0(T_a) ) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_OSuc,V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__inject__exp,axiom, % 218.86/219.45 ! [V_n_2,V_m_2,V_a_2,T_b] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 218.86/219.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) % 218.86/219.45 <=> V_m_2 = V_n_2 ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__Suc,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Power_Opower(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__Suc2,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nat__one__le__power,axiom, % 218.86/219.45 ! [V_n,V_i] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__0,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Power_Opower(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__add,axiom, % 218.86/219.45 ! [V_n,V_m,V_a,T_a] : % 218.86/219.45 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nonzero__power__divide,axiom, % 218.86/219.45 ! [V_n,V_a,V_b,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__one__over,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_abs__power__minus,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__less__imp__less__base,axiom, % 218.86/219.45 ! [V_b,V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__inject__base,axiom, % 218.86/219.45 ! [V_b,V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.45 => V_a = V_b ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__le__imp__le__base,axiom, % 218.86/219.45 ! [V_b,V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n)))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__less__power__Suc,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__gt1__lemma,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__0__left,axiom, % 218.86/219.45 ! [V_n,T_a] : % 218.86/219.45 ( ( class_Power_Opower(T_a) % 218.86/219.45 & class_Rings_Osemiring__0(T_a) ) % 218.86/219.45 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 218.86/219.45 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__gt1,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__strict__increasing__iff,axiom, % 218.86/219.45 ! [V_y_2,V_x_2,V_b_2,T_b] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__less__imp__less__exp,axiom, % 218.86/219.45 ! [V_n,V_m,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__strict__increasing,axiom, % 218.86/219.45 ! [V_a,V_N,V_n,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zero__le__power__abs,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__increasing,axiom, % 218.86/219.45 ! [V_a,V_N,V_n,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__minus,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Oring__1(T_a) % 218.86/219.45 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__Suc__less,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__eq__imp__eq__base,axiom, % 218.86/219.45 ! [V_b,V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.45 => V_a = V_b ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__Suc__less__one,axiom, % 218.86/219.45 ! [V_n,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__strict__decreasing,axiom, % 218.86/219.45 ! [V_a,V_N,V_n,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__decreasing,axiom, % 218.86/219.45 ! [V_a,V_N,V_n,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__le__imp__le__exp,axiom, % 218.86/219.45 ! [V_n,V_m,V_a,T_a] : % 218.86/219.45 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_le__divide__eq,axiom, % 218.86/219.45 ! [V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__le__eq,axiom, % 218.86/219.45 ! [V_a_2,V_c_2,V_b_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_pos__le__divide__eq,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_pos__divide__le__eq,axiom, % 218.86/219.45 ! [V_a_2,V_b_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_times__divide__times__eq,axiom, % 218.86/219.45 ! [V_w,V_z,V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_minus__divide__divide,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_minus__divide__right,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_abs__divide,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 218.86/219.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__right__mono__neg,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__right__mono,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__le__0__iff,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 218.86/219.45 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zero__le__divide__iff,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2))) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 218.86/219.45 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__strict__right__mono__neg,axiom, % 218.86/219.45 ! [V_c,V_a,V_b,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__strict__right__mono,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__neg__neg,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__neg__pos,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__pos__neg,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__pos__pos,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__less__0__iff,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 218.86/219.45 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zero__less__divide__iff,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2))) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 218.86/219.45 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_eq__divide__eq,axiom, % 218.86/219.45 ! [V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_b) % 218.86/219.45 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 218.86/219.45 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 218.86/219.45 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__eq__eq,axiom, % 218.86/219.45 ! [V_a_2,V_c_2,V_b_2,T_b] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_b) % 218.86/219.45 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 218.86/219.45 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 218.86/219.45 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_mult__divide__mult__cancel__right,axiom, % 218.86/219.45 ! [V_b,V_a,V_c,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_mult__divide__mult__cancel__left,axiom, % 218.86/219.45 ! [V_b,V_a,V_c,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_frac__eq__eq,axiom, % 218.86/219.45 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 218.86/219.45 ( class_Fields_Ofield(T_b) % 218.86/219.45 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.45 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2) % 218.86/219.45 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_nonzero__abs__divide,axiom, % 218.86/219.45 ! [V_a,V_b,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__nonneg__pos,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__nonneg__neg,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_frac__less2,axiom, % 218.86/219.45 ! [V_z,V_w,V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_frac__less,axiom, % 218.86/219.45 ! [V_z,V_w,V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_frac__le,axiom, % 218.86/219.45 ! [V_z,V_w,V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__nonpos__pos,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__nonpos__neg,axiom, % 218.86/219.45 ! [V_y,V_x,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__strict__left__mono__neg,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__strict__left__mono,axiom, % 218.86/219.45 ! [V_c,V_a,V_b,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__divide__less__eq,axiom, % 218.86/219.45 ! [V_a_2,V_b_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__less__divide__eq,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_mult__imp__less__div__pos,axiom, % 218.86/219.45 ! [V_x,V_z,V_y,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_mult__imp__div__pos__less,axiom, % 218.86/219.45 ! [V_z,V_x,V_y,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_pos__divide__less__eq,axiom, % 218.86/219.45 ! [V_a_2,V_b_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_pos__less__divide__eq,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__less__eq,axiom, % 218.86/219.45 ! [V_a_2,V_c_2,V_b_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_less__divide__eq,axiom, % 218.86/219.45 ! [V_c_2,V_b_2,V_a_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.45 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.45 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) % 218.86/219.45 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_add__num__frac,axiom, % 218.86/219.45 ! [V_x,V_z,V_y,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_add__divide__eq__iff,axiom, % 218.86/219.45 ! [V_y,V_x,V_z,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_add__frac__num,axiom, % 218.86/219.45 ! [V_z,V_x,V_y,T_a] : % 218.86/219.45 ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.45 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__add__eq__iff,axiom, % 218.86/219.45 ! [V_y,V_x,V_z,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_add__frac__eq,axiom, % 218.86/219.45 ! [V_w,V_x,V_z,V_y,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_diff__divide__eq__iff,axiom, % 218.86/219.45 ! [V_y,V_x,V_z,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__diff__eq__iff,axiom, % 218.86/219.45 ! [V_y,V_x,V_z,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_diff__frac__eq,axiom, % 218.86/219.45 ! [V_w,V_x,V_z,V_y,T_a] : % 218.86/219.45 ( class_Fields_Ofield(T_a) % 218.86/219.45 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_less__half__sum,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_gt__half__sum,axiom, % 218.86/219.45 ! [V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))),V_b)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_abs__div__pos,axiom, % 218.86/219.45 ! [V_x,V_y,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__left__mono__neg,axiom, % 218.86/219.45 ! [V_c,V_b,V_a,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_divide__left__mono,axiom, % 218.86/219.45 ! [V_c,V_a,V_b,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__divide__le__eq,axiom, % 218.86/219.45 ! [V_a_2,V_b_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2)) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__le__divide__eq,axiom, % 218.86/219.45 ! [V_b_2,V_a_2,V_c_2,T_b] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_b) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_mult__imp__le__div__pos,axiom, % 218.86/219.45 ! [V_x,V_z,V_y,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_mult__imp__div__pos__le,axiom, % 218.86/219.45 ! [V_z,V_x,V_y,T_a] : % 218.86/219.45 ( class_Fields_Olinordered__field(T_a) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_setprod__Un,axiom, % 218.86/219.45 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 218.86/219.45 ( class_Fields_Ofield(T_c) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 218.86/219.45 => ( ! [B_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) % 218.86/219.45 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 218.86/219.45 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_power__power__power,axiom, % 218.86/219.45 ! [T_b] : % 218.86/219.45 ( class_Power_Opower(T_b) % 218.86/219.45 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_int__power__div__base,axiom, % 218.86/219.45 ! [V_k,V_m] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 218.86/219.45 ! [V_N_2,V_h_2,T_b] : % 218.86/219.45 ( class_Orderings_Olinorder(T_b) % 218.86/219.45 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.45 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.45 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.45 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zdiv__zero,axiom, % 218.86/219.45 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zdiv__zminus2,axiom, % 218.86/219.45 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zdiv__zminus__zminus,axiom, % 218.86/219.45 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__0,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Divides_Osemiring__div(T_a) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__by__0,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Divides_Osemiring__div(T_a) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 218.86/219.45 ! [V_y,V_x] : % 218.86/219.45 ( c_Nat__Transfer_Ois__nat(V_x) % 218.86/219.45 => ( c_Nat__Transfer_Ois__nat(V_y) % 218.86/219.45 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__by__1,axiom, % 218.86/219.45 ! [V_a,T_a] : % 218.86/219.45 ( class_Divides_Osemiring__div(T_a) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 218.86/219.45 ! [V_y,V_x] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__neg__pos__less0,axiom, % 218.86/219.45 ! [V_b,V_a] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.45 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 218.86/219.45 ! [V_a_2,V_b_2] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 218.86/219.45 ! [V_a_2,V_b_2] : % 218.86/219.45 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 218.86/219.45 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.45 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_zdiv__self,axiom, % 218.86/219.45 ! [V_a] : % 218.86/219.45 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__mult__mult1__if,axiom, % 218.86/219.45 ! [V_b,V_a,V_c,T_a] : % 218.86/219.45 ( class_Divides_Osemiring__div(T_a) % 218.86/219.45 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) ) % 218.86/219.45 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__mult__self2__is__id,axiom, % 218.86/219.45 ! [V_a,V_b,T_a] : % 218.86/219.45 ( class_Divides_Osemiring__div(T_a) % 218.86/219.45 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__mult__self1__is__id,axiom, % 218.86/219.45 ! [V_a,V_b,T_a] : % 218.86/219.45 ( class_Divides_Osemiring__div(T_a) % 218.86/219.45 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.45 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ). % 218.86/219.45 % 218.86/219.45 fof(fact_div__mult__mult2,axiom, % 218.86/219.45 ! [V_b,V_a,V_c,T_a] : % 218.86/219.45 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mult__mult1,axiom, % 218.86/219.46 ! [V_b,V_a,V_c,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__self,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__eq__0__iff,axiom, % 218.86/219.46 ! [V_k_2,V_i_2] : % 218.86/219.46 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 218.86/219.46 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 218.86/219.46 ! [V_a_2,V_b_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 218.86/219.46 ! [V_i_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 218.86/219.46 ! [V_b_2,V_a_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.46 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__mono2,axiom, % 218.86/219.46 ! [V_b,V_b_H,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__nonneg__neg__le0,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__pos__pos__trivial,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 218.86/219.46 ! [V_a_2,V_b_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__nonpos__pos__le0,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__mono2__neg,axiom, % 218.86/219.46 ! [V_b,V_b_H,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__neg__neg__trivial,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__mono1,axiom, % 218.86/219.46 ! [V_b,V_a_H,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__mono1__neg,axiom, % 218.86/219.46 ! [V_b,V_a_H,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_int__div__less__self,axiom, % 218.86/219.46 ! [V_k,V_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__zmult2__eq,axiom, % 218.86/219.46 ! [V_b,V_a,V_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power_Opower_Opower__0,axiom, % 218.86/219.46 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 218.86/219.46 % 218.86/219.46 fof(fact_power_Opower_Opower__Suc,axiom, % 218.86/219.46 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mult__self1,axiom, % 218.86/219.46 ! [V_c,V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mult__self2,axiom, % 218.86/219.46 ! [V_c,V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__add__self1,axiom, % 218.86/219.46 ! [V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__add__self2,axiom, % 218.86/219.46 ! [V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divmod__int__rel__div__eq,axiom, % 218.86/219.46 ! [V_r_1,V_y,V_b_1,V_a_1] : % 218.86/219.46 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1) % 218.86/219.46 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 218.86/219.46 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__zdiv,axiom, % 218.86/219.46 ! [V_k_2,V_n_2,V_P_2] : % 218.86/219.46 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 218.86/219.46 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.46 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 218.86/219.46 => ! [B_i] : % 218.86/219.46 ( ? [B_j] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 218.86/219.46 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 218.86/219.46 => hBOOL(hAPP(V_P_2,B_i)) ) ) % 218.86/219.46 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ! [B_i] : % 218.86/219.46 ( ? [B_j] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 218.86/219.46 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_z3div__def,axiom, % 218.86/219.46 ! [V_k,V_l] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 218.86/219.46 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 218.86/219.46 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Max_Ohom__commute,axiom, % 218.86/219.46 ! [V_N_2,V_h_2,T_b] : % 218.86/219.46 ( class_Orderings_Olinorder(T_b) % 218.86/219.46 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.46 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.46 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Min_Ohom__commute,axiom, % 218.86/219.46 ! [V_N_2,V_h_2,T_b] : % 218.86/219.46 ( class_Orderings_Olinorder(T_b) % 218.86/219.46 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y)) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 218.86/219.46 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.46 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_strong__setprod__reindex__cong,axiom, % 218.86/219.46 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 218.86/219.46 ( class_Groups_Ocomm__monoid__mult(T_d) % 218.86/219.46 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 218.86/219.46 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 218.86/219.46 => ( ! [B_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.46 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) ) % 218.86/219.46 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mult2__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__le__mono,axiom, % 218.86/219.46 ! [V_k,V_n,V_m] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__le__dividend,axiom, % 218.86/219.46 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__1,axiom, % 218.86/219.46 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__less,axiom, % 218.86/219.46 ! [V_n,V_m] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__mult__div__cancel__disj,axiom, % 218.86/219.46 ! [V_n,V_m,V_k] : % 218.86/219.46 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__int,axiom, % 218.86/219.46 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 218.86/219.46 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__le__mono2,axiom, % 218.86/219.46 ! [V_k,V_n,V_m] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__mult__div__cancel1,axiom, % 218.86/219.46 ! [V_n,V_m,V_k] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mult__self1__is__m,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mult__self__is__m,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__less__dividend,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__geq,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.46 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__if,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__div,axiom, % 218.86/219.46 ! [V_k_2,V_n_2,V_P_2] : % 218.86/219.46 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 218.86/219.46 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 218.86/219.46 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => ! [B_i,B_j] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 218.86/219.46 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 218.86/219.46 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__div__distrib,axiom, % 218.86/219.46 ! [V_y,V_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.46 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 218.86/219.46 ! [V_y,V_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__div__geq,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__div_H,axiom, % 218.86/219.46 ! [V_n_2,V_m_2,V_P_2] : % 218.86/219.46 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 218.86/219.46 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 218.86/219.46 | ? [B_q] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q)))) % 218.86/219.46 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__div__lemma,axiom, % 218.86/219.46 ! [V_m_2,V_q_2,V_n_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) ) % 218.86/219.46 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Nitpick_Onat__lcm__def,axiom, % 218.86/219.46 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_setprod__mono__one__left,axiom, % 218.86/219.46 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 218.86/219.46 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 218.86/219.46 => ( ! [B_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 218.86/219.46 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 218.86/219.46 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_setprod__mono__one__right,axiom, % 218.86/219.46 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 218.86/219.46 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 218.86/219.46 => ( ! [B_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2))) % 218.86/219.46 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 218.86/219.46 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_card__partition,axiom, % 218.86/219.46 ! [V_k_2,V_C_2,T_b] : % 218.86/219.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 218.86/219.46 => ( ! [B_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 218.86/219.46 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 218.86/219.46 => ( ! [B_c1] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 218.86/219.46 => ! [B_c2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 218.86/219.46 => ( B_c1 != B_c2 % 218.86/219.46 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Nitpick_Oint__gcd__def,axiom, % 218.86/219.46 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_field__le__mult__one__interval,axiom, % 218.86/219.46 ! [V_y,V_x,T_a] : % 218.86/219.46 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 218.86/219.46 => ( ! [B_z] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x)),V_y)) ) ) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 218.86/219.46 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 218.86/219.46 ( ( class_Groups_Ocomm__monoid__add(T_b) % 218.86/219.46 & class_Groups_Ocomm__monoid__mult(T_b) ) % 218.86/219.46 => ( V_A_2 = V_B_2 % 218.86/219.46 => ( c_Nat__Transfer_Onat__set(V_B_2) % 218.86/219.46 => ( ! [B_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 218.86/219.46 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 218.86/219.46 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__neg__lemma,axiom, % 218.86/219.46 ! [V_n_2,V_P_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 218.86/219.46 <=> ! [B_i,B_j] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 218.86/219.46 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zpower__zmod,axiom, % 218.86/219.46 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 218.86/219.46 ! [V_y,V_x] : % 218.86/219.46 ( c_Nat__Transfer_Ois__nat(V_x) % 218.86/219.46 => ( c_Nat__Transfer_Ois__nat(V_y) % 218.86/219.46 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiff__zmod__right,axiom, % 218.86/219.46 ! [V_m,V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiff__zmod__left,axiom, % 218.86/219.46 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zminus__zmod,axiom, % 218.86/219.46 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zminus__zminus,axiom, % 218.86/219.46 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zminus2,axiom, % 218.86/219.46 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__add__cong,axiom, % 218.86/219.46 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 218.86/219.46 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__simps_I1_J,axiom, % 218.86/219.46 ! [V_b,V_c,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__simps_I2_J,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__add__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__add__left__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__add__right__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__add__self1,axiom, % 218.86/219.46 ! [V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__add__self2,axiom, % 218.86/219.46 ! [V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__cong,axiom, % 218.86/219.46 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 218.86/219.46 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__simps_I4_J,axiom, % 218.86/219.46 ! [V_b,V_c,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__mult2,axiom, % 218.86/219.46 ! [V_b,V_c,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__mult1,axiom, % 218.86/219.46 ! [V_b,V_a,V_c,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__left__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__right__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__diff__right__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Oring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__diff__left__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Oring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__diff__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Oring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__diff__cong,axiom, % 218.86/219.46 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 218.86/219.46 ( class_Divides_Oring__div(T_a) % 218.86/219.46 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 218.86/219.46 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_H),V_b_H),V_c) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__minus__eq,axiom, % 218.86/219.46 ! [V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Oring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__minus__cong,axiom, % 218.86/219.46 ! [V_a_H,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Oring__div(T_a) % 218.86/219.46 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__self,axiom, % 218.86/219.46 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zero,axiom, % 218.86/219.46 ! [V_b] : c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__self,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__by__0,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__0,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mod__trivial,axiom, % 218.86/219.46 ! [V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__simps_I3_J,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zmult1__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__self1__is__0,axiom, % 218.86/219.46 ! [V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__self2__is__0,axiom, % 218.86/219.46 ! [V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__self2,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__self1,axiom, % 218.86/219.46 ! [V_b,V_c,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__by__1,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__div__trivial,axiom, % 218.86/219.46 ! [V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__le__nonneg__dividend,axiom, % 218.86/219.46 ! [V_k,V_m] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_k)),V_m)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 218.86/219.46 ! [V_y,V_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pos__mod__bound,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__mod__bound,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__eq__0__iff,axiom, % 218.86/219.46 ! [V_d_2,V_m_2] : % 218.86/219.46 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zminus1__not__zero,axiom, % 218.86/219.46 ! [V_l,V_k] : % 218.86/219.46 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zminus2__not__zero,axiom, % 218.86/219.46 ! [V_l,V_k] : % 218.86/219.46 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zdiv__trivial,axiom, % 218.86/219.46 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.46 % 218.86/219.46 fof(fact_DIVISION__BY__ZERO,axiom, % 218.86/219.46 ! [V_a] : % 218.86/219.46 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__zadd1__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 218.86/219.46 ! [V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__div__equality2,axiom, % 218.86/219.46 ! [V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__div__equality,axiom, % 218.86/219.46 ! [V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mod__equality2,axiom, % 218.86/219.46 ! [V_c,V_a,V_b,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mod__equality,axiom, % 218.86/219.46 ! [V_c,V_b,V_a,T_a] : % 218.86/219.46 ( class_Divides_Osemiring__div(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__neg__neg__trivial,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__mod__conj,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__mod__sign,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__pos__pos__trivial,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pos__mod__conj,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pos__mod__sign,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zminus2__eq__if,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.46 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zminus1__eq__if,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.46 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zdiv__equality,axiom, % 218.86/219.46 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__zmult1__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__zmod__equality,axiom, % 218.86/219.46 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__zmod__equality2,axiom, % 218.86/219.46 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmult__div__cancel,axiom, % 218.86/219.46 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zdiv__equality_H,axiom, % 218.86/219.46 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__pos__neg__trivial,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__zmod,axiom, % 218.86/219.46 ! [V_k_2,V_n_2,V_P_2] : % 218.86/219.46 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 218.86/219.46 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 218.86/219.46 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 218.86/219.46 => ! [B_i,B_j] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 218.86/219.46 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 218.86/219.46 => hBOOL(hAPP(V_P_2,B_j)) ) ) % 218.86/219.46 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => ! [B_i,B_j] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 218.86/219.46 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmult2__lemma__aux3,axiom, % 218.86/219.46 ! [V_q,V_b,V_r,V_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmult2__lemma__aux4,axiom, % 218.86/219.46 ! [V_q,V_b,V_r,V_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmult2__lemma__aux1,axiom, % 218.86/219.46 ! [V_q,V_r,V_b,V_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmult2__lemma__aux2,axiom, % 218.86/219.46 ! [V_q,V_r,V_b,V_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divmod__int__rel__mod__eq,axiom, % 218.86/219.46 ! [V_y,V_q_1,V_b_1,V_a_1] : % 218.86/219.46 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_q_1)),V_y) % 218.86/219.46 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 218.86/219.46 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__zmult2__eq,axiom, % 218.86/219.46 ! [V_b,V_a,V_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__zminus2__eq__if,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) ) % 218.86/219.46 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__zminus1__eq__if,axiom, % 218.86/219.46 ! [V_a,V_b] : % 218.86/219.46 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) ) % 218.86/219.46 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__pos__lemma,axiom, % 218.86/219.46 ! [V_n_2,V_P_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 218.86/219.46 <=> ! [B_i,B_j] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 218.86/219.46 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) ) % 218.86/219.46 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_z3mod__def,axiom, % 218.86/219.46 ! [V_k,V_l] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 218.86/219.46 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 218.86/219.46 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_setprod__pos__nat,axiom, % 218.86/219.46 ! [V_f_2,V_S_2,T_b] : % 218.86/219.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.46 => ( ! [B_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_card__quotient__disjoint,axiom, % 218.86/219.46 ! [V_r_2,V_A_2,T_b] : % 218.86/219.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.46 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 218.86/219.46 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_ex__bij__betw__finite__nat,axiom, % 218.86/219.46 ! [V_M_2,T_b] : % 218.86/219.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 218.86/219.46 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 218.86/219.46 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__less,axiom, % 218.86/219.46 ! [V_n,V_m] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__distrib,axiom, % 218.86/219.46 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__distrib2,axiom, % 218.86/219.46 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__less__eq__dividend,axiom, % 218.86/219.46 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_quotient__empty,axiom, % 218.86/219.46 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_quotient__is__empty2,axiom, % 218.86/219.46 ! [V_r_2,V_A_2,T_b] : % 218.86/219.46 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) % 218.86/219.46 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_quotient__is__empty,axiom, % 218.86/219.46 ! [V_r_2,V_A_2,T_b] : % 218.86/219.46 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 218.86/219.46 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__1,axiom, % 218.86/219.46 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__Suc,axiom, % 218.86/219.46 ! [V_n,V_m] : % 218.86/219.46 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__less__divisor,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__eq__0__iff,axiom, % 218.86/219.46 ! [V_d_2,V_m_2] : % 218.86/219.46 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__if,axiom, % 218.86/219.46 ! [V_n,V_m] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__geq,axiom, % 218.86/219.46 ! [V_n,V_m] : % 218.86/219.46 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__self3,axiom, % 218.86/219.46 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__mod__geq,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 218.86/219.46 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__int,axiom, % 218.86/219.46 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__add1__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__gcd_Osimps,axiom, % 218.86/219.46 ! [V_x,V_y] : % 218.86/219.46 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 218.86/219.46 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__le__divisor,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult__self4,axiom, % 218.86/219.46 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__mult2__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mult1__eq,axiom, % 218.86/219.46 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__mod__equality_H,axiom, % 218.86/219.46 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__div__cancel,axiom, % 218.86/219.46 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Divides_Omod__div__equality_H,axiom, % 218.86/219.46 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_quotient__diff1,axiom, % 218.86/219.46 ! [V_a_2,V_A_2,V_r_2,T_b] : % 218.86/219.46 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.46 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_split__mod,axiom, % 218.86/219.46 ! [V_k_2,V_n_2,V_P_2] : % 218.86/219.46 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 218.86/219.46 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => hBOOL(hAPP(V_P_2,V_n_2)) ) % 218.86/219.46 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 => ! [B_i,B_j] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 218.86/219.46 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j) % 218.86/219.46 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__lemma,axiom, % 218.86/219.46 ! [V_q,V_b,V_r,V_c] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__times__mod__eq,axiom, % 218.86/219.46 ! [V_m,V_k] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 218.86/219.46 ! [V_y,V_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__mod__distrib,axiom, % 218.86/219.46 ! [V_y,V_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 218.86/219.46 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_quotient__def,axiom, % 218.86/219.46 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_singleton__quotient,axiom, % 218.86/219.46 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_quotientI,axiom, % 218.86/219.46 ! [V_r_2,V_A_2,V_x_2,T_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_fold__image__1,axiom, % 218.86/219.46 ! [V_f_2,V_S_2,T_b,T_c] : % 218.86/219.46 ( class_Groups_Ocomm__monoid__mult(T_c) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 218.86/219.46 => ( ! [B_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 218.86/219.46 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 218.86/219.46 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Image__eq__UN,axiom, % 218.86/219.46 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Image__INT__subset,axiom, % 218.86/219.46 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Image__Int__subset,axiom, % 218.86/219.46 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Image__UN,axiom, % 218.86/219.46 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Image__empty,axiom, % 218.86/219.46 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Image__mono,axiom, % 218.86/219.46 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Image__Un,axiom, % 218.86/219.46 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Un__Image,axiom, % 218.86/219.46 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_quotientE,axiom, % 218.86/219.46 ! [V_r_2,V_A_2,V_X_2,T_b] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.46 => ~ ! [B_x] : % 218.86/219.46 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.46 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__mod__eq__lemma,axiom, % 218.86/219.46 ! [V_y,V_n,V_x] : % 218.86/219.46 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 218.86/219.46 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_card_Oneutral,axiom, % 218.86/219.46 ! [V_A_2,T_b] : % 218.86/219.46 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.46 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.46 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__induct__0,axiom, % 218.86/219.46 ! [V_i_2,V_P_2,V_p_2] : % 218.86/219.46 ( ! [B_i] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 218.86/219.46 => ( hBOOL(hAPP(V_P_2,B_i)) % 218.86/219.46 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 218.86/219.46 => ( hBOOL(hAPP(V_P_2,V_i_2)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 218.86/219.46 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__by__empty,axiom, % 218.86/219.46 ! [V_B_2,T_b,V_A_2] : % 218.86/219.46 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_fold__image__cong,axiom, % 218.86/219.46 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 218.86/219.46 ( class_Groups_Oab__semigroup__mult(T_c) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.46 => ( ! [B_x] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.46 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 218.86/219.46 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Max__eqI,axiom, % 218.86/219.46 ! [V_x_2,V_A_2,T_b] : % 218.86/219.46 ( class_Orderings_Olinorder(T_b) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.46 => ( ! [B_y] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.46 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Min__eqI,axiom, % 218.86/219.46 ! [V_x_2,V_A_2,T_b] : % 218.86/219.46 ( class_Orderings_Olinorder(T_b) % 218.86/219.46 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 218.86/219.46 => ( ! [B_y] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.46 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_expand__Suc,axiom, % 218.86/219.46 ! [V_v] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v))) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_of__nat__number__of__lemma,axiom, % 218.86/219.46 ! [V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__eq,axiom, % 218.86/219.46 ! [V_k,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__number__of,axiom, % 218.86/219.46 ! [V_y_2,V_x_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Int_Oring__char__0(T_b) ) % 218.86/219.46 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 218.86/219.46 <=> V_x_2 = V_y_2 ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__reorient,axiom, % 218.86/219.46 ! [V_x_2,V_w_2,T_b] : % 218.86/219.46 ( class_Int_Onumber(T_b) % 218.86/219.46 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 218.86/219.46 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_of__int__number__of__eq,axiom, % 218.86/219.46 ! [V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_of__nat__number__of__eq,axiom, % 218.86/219.46 ! [V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__number__of__eq__not__less,axiom, % 218.86/219.46 ! [V_w_2,V_v_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber(T_b) % 218.86/219.46 & class_Orderings_Olinorder(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_left__distrib__number__of,axiom, % 218.86/219.46 ! [V_v,V_b,V_a,T_b] : % 218.86/219.46 ( ( class_Int_Onumber(T_b) % 218.86/219.46 & class_Rings_Osemiring(T_b) ) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_right__distrib__number__of,axiom, % 218.86/219.46 ! [V_c,V_b,V_v,T_b] : % 218.86/219.46 ( ( class_Int_Onumber(T_b) % 218.86/219.46 & class_Rings_Osemiring(T_b) ) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_right__diff__distrib__number__of,axiom, % 218.86/219.46 ! [V_c,V_b,V_v,T_b] : % 218.86/219.46 ( ( class_Int_Onumber(T_b) % 218.86/219.46 & class_Rings_Oring(T_b) ) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_left__diff__distrib__number__of,axiom, % 218.86/219.46 ! [V_v,V_b,V_a,T_b] : % 218.86/219.46 ( ( class_Int_Onumber(T_b) % 218.86/219.46 & class_Rings_Oring(T_b) ) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__number__of,axiom, % 218.86/219.46 ! [V_y_2,V_x_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__number__of,axiom, % 218.86/219.46 ! [V_y_2,V_x_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_min__number__of,axiom, % 218.86/219.46 ! [V_v,V_u,T_b] : % 218.86/219.46 ( ( class_Int_Onumber(T_b) % 218.86/219.46 & class_Orderings_Oord(T_b) ) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_max__number__of,axiom, % 218.86/219.46 ! [V_v,V_u,T_b] : % 218.86/219.46 ( ( class_Int_Onumber(T_b) % 218.86/219.46 & class_Orderings_Oord(T_b) ) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__add,axiom, % 218.86/219.46 ! [V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__number__of__eq,axiom, % 218.86/219.46 ! [V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__number__of__left,axiom, % 218.86/219.46 ! [V_z,V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_z) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__mult,axiom, % 218.86/219.46 ! [V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_arith__simps_I32_J,axiom, % 218.86/219.46 ! [V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__number__of__left,axiom, % 218.86/219.46 ! [V_z,V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__diff,axiom, % 218.86/219.46 ! [V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__minus,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_arith__simps_I30_J,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Ints__number__of,axiom, % 218.86/219.46 ! [V_w_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__eq__eq__number__of1,axiom, % 218.86/219.46 ! [V_a_2,V_w_2,V_b_2,T_b] : % 218.86/219.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2 % 218.86/219.46 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) % 218.86/219.46 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__eq__eq__number__of,axiom, % 218.86/219.46 ! [V_w_2,V_c_2,V_b_2,T_b] : % 218.86/219.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) % 218.86/219.46 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) ) % 218.86/219.46 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__divide__eq__number__of,axiom, % 218.86/219.46 ! [V_c_2,V_b_2,V_w_2,T_b] : % 218.86/219.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 218.86/219.46 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 ) % 218.86/219.46 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__divide__eq__number__of1,axiom, % 218.86/219.46 ! [V_w_2,V_b_2,V_a_2,T_b] : % 218.86/219.46 ( ( class_Fields_Ofield__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) % 218.86/219.46 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 ) % 218.86/219.46 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__number__of__diff1,axiom, % 218.86/219.46 ! [V_c,V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_minus__number__of__mult,axiom, % 218.86/219.46 ! [V_z,V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))),V_z) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__number__of__eq,axiom, % 218.86/219.46 ! [V_w,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__less__eq__number__of1,axiom, % 218.86/219.46 ! [V_a_2,V_w_2,V_b_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__less__eq__number__of,axiom, % 218.86/219.46 ! [V_w_2,V_c_2,V_b_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__divide__eq__number__of,axiom, % 218.86/219.46 ! [V_c_2,V_b_2,V_w_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__divide__eq__number__of1,axiom, % 218.86/219.46 ! [V_w_2,V_b_2,V_a_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_abs__number__of,axiom, % 218.86/219.46 ! [V_x,T_a] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_a) % 218.86/219.46 & class_Rings_Olinordered__idom(T_a) ) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.46 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.46 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__number__of__diff2,axiom, % 218.86/219.46 ! [V_w,V_c,V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)))),V_c) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__le__eq__number__of1,axiom, % 218.86/219.46 ! [V_a_2,V_w_2,V_b_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2)) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__le__eq__number__of,axiom, % 218.86/219.46 ! [V_w_2,V_c_2,V_b_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__divide__eq__number__of,axiom, % 218.86/219.46 ! [V_c_2,V_b_2,V_w_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2))) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__divide__eq__number__of1,axiom, % 218.86/219.46 ! [V_w_2,V_b_2,V_a_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_one__mod__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_one__div__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power__number__of__odd__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_w_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power__nat__number__of__number__of,axiom, % 218.86/219.46 ! [V_w,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__eq__number__of__int__code,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__is__id,axiom, % 218.86/219.46 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__number__of__int__code,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_times__numeral__code_I5_J,axiom, % 218.86/219.46 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_plus__numeral__code_I9_J,axiom, % 218.86/219.46 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_minus__numeral__code_I5_J,axiom, % 218.86/219.46 ! [V_w] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__number__of__Bit1,axiom, % 218.86/219.46 ! [V_w_2] : % 218.86/219.46 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 218.86/219.46 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I51_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 218.86/219.46 <=> V_k_2 = V_l_2 ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I17_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__int__code_I16_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__eq__int__code_I16_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I34_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_int__number__of__def,axiom, % 218.86/219.46 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ). % 218.86/219.46 % 218.86/219.46 fof(fact_bin__less__0__simps_I4_J,axiom, % 218.86/219.46 ! [V_w_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Bit1__def,axiom, % 218.86/219.46 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of,axiom, % 218.86/219.46 ! [V_w] : hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__def,axiom, % 218.86/219.46 ! [V_v] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__Bit1,axiom, % 218.86/219.46 ! [V_w_2] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__Bit1,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power__number__of__odd,axiom, % 218.86/219.46 ! [V_z_2,V_w_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zpower__number__of__odd,axiom, % 218.86/219.46 ! [V_z_2,V_w_2] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_minus__numeral__code_I6_J,axiom, % 218.86/219.46 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__imp__number__of__eq__0,axiom, % 218.86/219.46 ! [V_v] : % 218.86/219.46 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_int__eq__iff__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_m_2] : % 218.86/219.46 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) % 218.86/219.46 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H_2,V_v_2] : % 218.86/219.46 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2) % 218.86/219.46 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 218.86/219.46 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 218.86/219.46 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__add__left,axiom, % 218.86/219.46 ! [V_k,V_v_H,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_k) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_int__nat__number__of,axiom, % 218.86/219.46 ! [V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power__nat__number__of,axiom, % 218.86/219.46 ! [V_n,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__nat__number__of__add,axiom, % 218.86/219.46 ! [V_n,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v))),V_n) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__nat__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_v_H_2] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_min__Suc__number__of,axiom, % 218.86/219.46 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_min__number__of__Suc,axiom, % 218.86/219.46 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_succ__Pls,axiom, % 218.86/219.46 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I39_J,axiom, % 218.86/219.46 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I46_J,axiom, % 218.86/219.46 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I19_J,axiom, % 218.86/219.46 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__bin__simps_I1_J,axiom, % 218.86/219.46 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 218.86/219.46 % 218.86/219.46 fof(fact_minus__Pls,axiom, % 218.86/219.46 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 218.86/219.46 % 218.86/219.46 fof(fact_succ__pred,axiom, % 218.86/219.46 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I2_J,axiom, % 218.86/219.46 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Pls__def,axiom, % 218.86/219.46 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__Pls,axiom, % 218.86/219.46 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__Pls,axiom, % 218.86/219.46 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__Pls__right,axiom, % 218.86/219.46 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__Pls,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_semiring__norm_I112_J,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__numeral__0__right,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__numeral__0,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_bin__less__0__simps_I1_J,axiom, % 218.86/219.46 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__Pls,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.46 % 218.86/219.46 fof(fact_semiring__norm_I113_J,axiom, % 218.86/219.46 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zero__is__num__zero,axiom, % 218.86/219.46 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I22_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I12_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__diff__number__of,axiom, % 218.86/219.46 ! [V_m,V_v] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_not__neg__number__of__Pls,axiom, % 218.86/219.46 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__add__1,axiom, % 218.86/219.46 ! [V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__1__add__number__of,axiom, % 218.86/219.46 ! [V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__iff__pred__less,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_minus__Bit1,axiom, % 218.86/219.46 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pred__def,axiom, % 218.86/219.46 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__diff__1,axiom, % 218.86/219.46 ! [V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__numeral__1,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__numeral__1__right,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__Numeral0,axiom, % 218.86/219.46 ! [V_x,T_a] : % 218.86/219.46 ( ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.46 & class_Int_Onumber__ring(T_a) ) % 218.86/219.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_numeral__1__eq__1,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_semiring__norm_I110_J,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__0__number__of,axiom, % 218.86/219.46 ! [V_v_2] : % 218.86/219.46 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__number__of__0,axiom, % 218.86/219.46 ! [V_v_2] : % 218.86/219.46 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of2,axiom, % 218.86/219.46 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I5_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I29_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H_2,V_v_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2))) % 218.86/219.46 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__Numeral1,axiom, % 218.86/219.46 ! [V_x,T_a] : % 218.86/219.46 ( ( class_Fields_Ofield(T_a) % 218.86/219.46 & class_Int_Onumber__ring(T_a) ) % 218.86/219.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_divide__numeral__1,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( ( class_Fields_Ofield(T_a) % 218.86/219.46 & class_Int_Onumber__ring(T_a) ) % 218.86/219.46 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H_2,V_v_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2))) % 218.86/219.46 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_one__is__num__one,axiom, % 218.86/219.46 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__numeral__1__eq__1,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Numeral1__eq1__nat,axiom, % 218.86/219.46 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 218.86/219.46 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_succ__def,axiom, % 218.86/219.46 ! [V_k] : c_Int_Osucc(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__special_I3_J,axiom, % 218.86/219.46 ! [V_x_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__special_I1_J,axiom, % 218.86/219.46 ! [V_y_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__special_I1_J,axiom, % 218.86/219.46 ! [V_y_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__special_I3_J,axiom, % 218.86/219.46 ! [V_x_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__0__number__of,axiom, % 218.86/219.46 ! [V_v_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_numeral__3__eq__3,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_numeral__1__eq__Suc__0,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power3__eq__cube,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 218.86/219.46 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc3__eq__add__3,axiom, % 218.86/219.46 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__succ,axiom, % 218.86/219.46 ! [V_k,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Osucc(V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__pred,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__special_I4_J,axiom, % 218.86/219.46 ! [V_x_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__special_I2_J,axiom, % 218.86/219.46 ! [V_y_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__special_I4_J,axiom, % 218.86/219.46 ! [V_x_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__special_I2_J,axiom, % 218.86/219.46 ! [V_y_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Rings_Olinordered__idom(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__special_I3_J,axiom, % 218.86/219.46 ! [V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__special_I2_J,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__diff__eq__diff__pred,axiom, % 218.86/219.46 ! [V_m,V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__mult__left,axiom, % 218.86/219.46 ! [V_k,V_v_H,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__nat__number__of,axiom, % 218.86/219.46 ! [V_v_H,V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__number__of__pred__iff__0,axiom, % 218.86/219.46 ! [V_v_2] : % 218.86/219.46 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 218.86/219.46 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod__Suc__eq__mod__add3,axiom, % 218.86/219.46 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__mod__eq__add3__mod,axiom, % 218.86/219.46 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 218.86/219.46 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div__Suc__eq__div__add3,axiom, % 218.86/219.46 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__div__eq__add3__div,axiom, % 218.86/219.46 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 218.86/219.46 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__special_I1_J,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__special_I2_J,axiom, % 218.86/219.46 ! [V_v,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__eq__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_n_2] : % 218.86/219.46 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__number__of__Suc,axiom, % 218.86/219.46 ! [V_n_2,V_v_2] : % 218.86/219.46 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__case__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__number__of__Suc,axiom, % 218.86/219.46 ! [V_n_2,V_v_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__Suc__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_n_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__Suc__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_n_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_le__number__of__Suc,axiom, % 218.86/219.46 ! [V_n_2,V_v_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Suc__nat__number__of,axiom, % 218.86/219.46 ! [V_v] : % 218.86/219.46 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.46 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_max__Suc__number__of,axiom, % 218.86/219.46 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_max__number__of__Suc,axiom, % 218.86/219.46 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__case__add__eq__if,axiom, % 218.86/219.46 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__rec__add__eq__if,axiom, % 218.86/219.46 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__special_I2_J,axiom, % 218.86/219.46 ! [V_y_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 218.86/219.46 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__special_I4_J,axiom, % 218.86/219.46 ! [V_x_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 218.86/219.46 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__rec__number__of,axiom, % 218.86/219.46 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_iszero__def,axiom, % 218.86/219.46 ! [V_z_2,T_b] : % 218.86/219.46 ( class_Rings_Osemiring__1(T_b) % 218.86/219.46 => ( c_Int_Oiszero(T_b,V_z_2) % 218.86/219.46 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_iszero__0,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Rings_Osemiring__1(T_a) % 218.86/219.46 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_not__iszero__1,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Rings_Osemiring__1(T_a) % 218.86/219.46 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__rec__0,axiom, % 218.86/219.46 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__rec__Suc,axiom, % 218.86/219.46 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_iszero__Numeral0,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_iszero__number__of__Bit1,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_a) % 218.86/219.46 & class_Int_Oring__char__0(T_a) ) % 218.86/219.46 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_not__iszero__Numeral1,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__number__of__eq,axiom, % 218.86/219.46 ! [V_y_2,V_x_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 218.86/219.46 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__special_I1_J,axiom, % 218.86/219.46 ! [V_y_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 218.86/219.46 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_eq__special_I3_J,axiom, % 218.86/219.46 ! [V_x_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__zmod__mult__2,axiom, % 218.86/219.46 ! [V_b,V_a] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__number__of__Bit1,axiom, % 218.86/219.46 ! [V_v,V_w] : % 218.86/219.46 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 218.86/219.46 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.46 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_arith__series__int,axiom, % 218.86/219.46 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I49_J,axiom, % 218.86/219.46 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I50_J,axiom, % 218.86/219.46 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I31_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__eq__int__code_I13_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__bin__simps_I7_J,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__Bit0,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__int__code_I13_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I14_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Bit0__def,axiom, % 218.86/219.46 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__Bit0__Bit0,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I48_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 218.86/219.46 <=> V_k_2 = V_l_2 ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_minus__Bit0,axiom, % 218.86/219.46 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Bit0__Pls,axiom, % 218.86/219.46 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I38_J,axiom, % 218.86/219.46 ! [V_l_2] : % 218.86/219.46 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 218.86/219.46 <=> c_Int_OPls = V_l_2 ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I44_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 218.86/219.46 <=> V_k_2 = c_Int_OPls ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_bin__less__0__simps_I3_J,axiom, % 218.86/219.46 ! [V_w_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I27_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I21_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__eq__int__code_I14_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I32_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I4_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I10_J,axiom, % 218.86/219.46 ! [V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I16_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__int__code_I15_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__Bit0__Bit1,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__Bit1__Bit0,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__bin__simps_I3_J,axiom, % 218.86/219.46 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__bin__simps_I10_J,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__bin__simps_I9_J,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zdiv__number__of__Bit0,axiom, % 218.86/219.46 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_neg__number__of__Bit0,axiom, % 218.86/219.46 ! [V_w_2] : % 218.86/219.46 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 218.86/219.46 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pred__Bit1,axiom, % 218.86/219.46 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 218.86/219.46 % 218.86/219.46 fof(fact_pred__Bit0,axiom, % 218.86/219.46 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_iszero__number__of__Bit0,axiom, % 218.86/219.46 ! [V_w_2,T_b] : % 218.86/219.46 ( ( class_Int_Onumber__ring(T_b) % 218.86/219.46 & class_Int_Oring__char__0(T_b) ) % 218.86/219.46 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 218.86/219.46 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_succ__Bit0,axiom, % 218.86/219.46 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 218.86/219.46 % 218.86/219.46 fof(fact_succ__Bit1,axiom, % 218.86/219.46 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__number__of__Bit0,axiom, % 218.86/219.46 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of__Bit0,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I15_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__int__code_I14_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_rel__simps_I33_J,axiom, % 218.86/219.46 ! [V_l_2,V_k_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_less__eq__int__code_I15_J,axiom, % 218.86/219.46 ! [V_k2_2,V_k1_2] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_card__UNIV__bool,axiom, % 218.86/219.46 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__Bit1,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ). % 218.86/219.46 % 218.86/219.46 fof(fact_diff__bin__simps_I8_J,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__Bit1__Bit1,axiom, % 218.86/219.46 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power__number__of__even,axiom, % 218.86/219.46 ! [V_w_2,V_z_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zpower__number__of__even,axiom, % 218.86/219.46 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_double__number__of__Bit0,axiom, % 218.86/219.46 ! [V_w,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_number__of1,axiom, % 218.86/219.46 ! [V_n] : % 218.86/219.46 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n)))) % 218.86/219.46 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 218.86/219.46 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power__number__of__even__number__of,axiom, % 218.86/219.46 ! [V_w_2,V_v_2,T_b] : % 218.86/219.46 ( class_Int_Onumber__ring(T_b) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__2__right,axiom, % 218.86/219.46 ! [V_z,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mult__2,axiom, % 218.86/219.46 ! [V_z,T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_one__add__one__is__two,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Int_Onumber__ring(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zero__power2,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Rings_Osemiring__1(T_a) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zero__eq__power2,axiom, % 218.86/219.46 ! [V_a_2,T_b] : % 218.86/219.46 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 218.86/219.46 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_numeral__2__eq__2,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_semiring__norm_I115_J,axiom, % 218.86/219.46 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 218.86/219.46 ! [V_x,T_a] : % 218.86/219.46 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.46 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power2__eq__square,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 218.86/219.46 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__2__eq__Suc_H,axiom, % 218.86/219.46 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__2__eq__Suc,axiom, % 218.86/219.46 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ). % 218.86/219.46 % 218.86/219.46 fof(fact_one__power2,axiom, % 218.86/219.46 ! [T_a] : % 218.86/219.46 ( class_Rings_Osemiring__1(T_a) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power2__minus,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Rings_Oring__1(T_a) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__mult__2__right,axiom, % 218.86/219.46 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__mult__2,axiom, % 218.86/219.46 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power__even__eq,axiom, % 218.86/219.46 ! [V_n,V_a,T_a] : % 218.86/219.46 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 218.86/219.46 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_abs__power2,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.46 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power2__abs,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.46 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_nat__1__add__1,axiom, % 218.86/219.46 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_mod2__Suc__Suc,axiom, % 218.86/219.46 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_div2__Suc__Suc,axiom, % 218.86/219.46 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zmod__number__of__Bit0,axiom, % 218.86/219.46 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ). % 218.86/219.46 % 218.86/219.46 fof(fact_add__self__div__2,axiom, % 218.86/219.46 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ). % 218.86/219.46 % 218.86/219.46 fof(fact_half__gt__zero,axiom, % 218.86/219.46 ! [V_r,T_a] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 218.86/219.46 & class_Int_Onumber__ring(T_a) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_half__gt__zero__iff,axiom, % 218.86/219.46 ! [V_r_2,T_b] : % 218.86/219.46 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 218.86/219.46 & class_Int_Onumber__ring(T_b) ) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 218.86/219.46 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power2__eq__imp__eq,axiom, % 218.86/219.46 ! [V_y,V_x,T_a] : % 218.86/219.46 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.46 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.46 => V_x = V_y ) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power2__le__imp__le,axiom, % 218.86/219.46 ! [V_y,V_x,T_a] : % 218.86/219.46 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zero__le__power2,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.46 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power2__less__0,axiom, % 218.86/219.46 ! [V_a,T_a] : % 218.86/219.46 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.46 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_zero__less__power2,axiom, % 218.86/219.46 ! [V_a_2,T_b] : % 218.86/219.46 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.46 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 218.86/219.46 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_sum__power2__eq__zero__iff,axiom, % 218.86/219.46 ! [V_y_2,V_x_2,T_b] : % 218.86/219.46 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.46 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.46 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.46 % 218.86/219.46 fof(fact_power2__eq__square__number__of,axiom, % 218.86/219.46 ! [V_w,T_b] : % 218.86/219.46 ( ( class_Groups_Omonoid__mult(T_b) % 218.86/219.46 & class_Int_Onumber(T_b) ) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_less__2__cases,axiom, % 218.86/219.47 ! [V_n] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) % 218.86/219.47 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat__2,axiom, % 218.86/219.47 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power2__eq__1__iff,axiom, % 218.86/219.47 ! [V_a_2,T_b] : % 218.86/219.47 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 218.86/219.47 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b) % 218.86/219.47 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 218.86/219.47 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 218.86/219.47 ! [V_n,V_x,T_a] : % 218.86/219.47 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power__minus__even,axiom, % 218.86/219.47 ! [V_n,V_a,T_a] : % 218.86/219.47 ( class_Rings_Oring__1(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power2__less__imp__less,axiom, % 218.86/219.47 ! [V_y,V_x,T_a] : % 218.86/219.47 ( class_Rings_Olinordered__semidom(T_a) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sum__power2__ge__zero,axiom, % 218.86/219.47 ! [V_y,V_x,T_a] : % 218.86/219.47 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sum__power2__le__zero__iff,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,T_b] : % 218.86/219.47 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b))) % 218.86/219.47 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.47 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sum__power2__gt__zero__iff,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,T_b] : % 218.86/219.47 ( class_Rings_Olinordered__idom(T_b) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) % 218.86/219.47 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 218.86/219.47 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_not__sum__power2__lt__zero,axiom, % 218.86/219.47 ! [V_y,V_x,T_a] : % 218.86/219.47 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.47 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power2__sum,axiom, % 218.86/219.47 ! [V_y,V_x,T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zero__le__even__power_H,axiom, % 218.86/219.47 ! [V_n,V_a,T_a] : % 218.86/219.47 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power__odd__eq,axiom, % 218.86/219.47 ! [V_n,V_a,T_a] : % 218.86/219.47 ( class_Groups_Omonoid__mult(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 218.86/219.47 ! [V_n,V_x,T_a] : % 218.86/219.47 ( class_Rings_Ocomm__semiring__1(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power__minus1__even,axiom, % 218.86/219.47 ! [V_n,T_a] : % 218.86/219.47 ( class_Rings_Oring__1(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zdiv__number__of__Bit1,axiom, % 218.86/219.47 ! [V_v,V_w] : % 218.86/219.47 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod2__gr__0,axiom, % 218.86/219.47 ! [V_m_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) % 218.86/219.47 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__2__gt__zero,axiom, % 218.86/219.47 ! [V_n] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power2__diff,axiom, % 218.86/219.47 ! [V_y,V_x,T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_odd__0__le__power__imp__0__le,axiom, % 218.86/219.47 ! [V_n,V_a,T_a] : % 218.86/219.47 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_odd__power__less__zero,axiom, % 218.86/219.47 ! [V_n,V_a,T_a] : % 218.86/219.47 ( class_Rings_Olinordered__idom(T_a) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power__minus1__odd,axiom, % 218.86/219.47 ! [V_n,T_a] : % 218.86/219.47 ( class_Rings_Oring__1(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Suc__n__div__2__gt__zero,axiom, % 218.86/219.47 ! [V_n] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_of__nat__double,axiom, % 218.86/219.47 ! [V_x,T_a] : % 218.86/219.47 ( class_Rings_Osemiring__1(T_a) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 218.86/219.47 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pos__zmod__mult__2,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pos__zdiv__mult__2,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_neg__zdiv__mult__2,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_int__of__code,axiom, % 218.86/219.47 ! [V_k] : % 218.86/219.47 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 218.86/219.47 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.47 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 218.86/219.47 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 218.86/219.47 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) % 218.86/219.47 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 218.86/219.47 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_of__int__num,axiom, % 218.86/219.47 ! [V_k_2,T_b] : % 218.86/219.47 ( class_Rings_Oring__1(T_b) % 218.86/219.47 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 218.86/219.47 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power__m1__odd,axiom, % 218.86/219.47 ! [V_n,T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I45_J,axiom, % 218.86/219.47 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I42_J,axiom, % 218.86/219.47 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I37_J,axiom, % 218.86/219.47 c_Int_OPls != c_Int_OMin ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I40_J,axiom, % 218.86/219.47 c_Int_OMin != c_Int_OPls ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I7_J,axiom, % 218.86/219.47 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral__zero__minus__one,axiom, % 218.86/219.47 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I24_J,axiom, % 218.86/219.47 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I47_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 218.86/219.47 <=> V_k_2 = c_Int_OMin ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I43_J,axiom, % 218.86/219.47 ! [V_l_2] : % 218.86/219.47 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 218.86/219.47 <=> c_Int_OMin = V_l_2 ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Bit1__Min,axiom, % 218.86/219.47 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 218.86/219.47 % 218.86/219.47 fof(fact_bin__less__0__simps_I2_J,axiom, % 218.86/219.47 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I23_J,axiom, % 218.86/219.47 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I20_J,axiom, % 218.86/219.47 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I26_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I30_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I3_J,axiom, % 218.86/219.47 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I6_J,axiom, % 218.86/219.47 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I13_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I9_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I28_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I8_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_eq__number__of__Pls__Min,axiom, % 218.86/219.47 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Int_OMin__def,axiom, % 218.86/219.47 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mult__Min,axiom, % 218.86/219.47 ! [V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k) ). % 218.86/219.47 % 218.86/219.47 fof(fact_neg__number__of__Min,axiom, % 218.86/219.47 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pred__Pls,axiom, % 218.86/219.47 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 218.86/219.47 % 218.86/219.47 fof(fact_add__Min__right,axiom, % 218.86/219.47 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 218.86/219.47 % 218.86/219.47 fof(fact_add__Min,axiom, % 218.86/219.47 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pred__Min,axiom, % 218.86/219.47 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nonzero__number__of__Min,axiom, % 218.86/219.47 ! [T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_succ__Min,axiom, % 218.86/219.47 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 218.86/219.47 % 218.86/219.47 fof(fact_diff__bin__simps_I2_J,axiom, % 218.86/219.47 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mult__minus1,axiom, % 218.86/219.47 ! [V_z,T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_z) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mult__minus1__right,axiom, % 218.86/219.47 ! [V_z,T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_number__of__Min,axiom, % 218.86/219.47 ! [T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_arith__simps_I31_J,axiom, % 218.86/219.47 ! [T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_abs__minus__one,axiom, % 218.86/219.47 ! [T_a] : % 218.86/219.47 ( ( class_Int_Onumber__ring(T_a) % 218.86/219.47 & class_Rings_Olinordered__idom(T_a) ) % 218.86/219.47 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divide__minus1,axiom, % 218.86/219.47 ! [V_x,T_a] : % 218.86/219.47 ( ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.47 & class_Int_Onumber__ring(T_a) ) % 218.86/219.47 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I11_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rel__simps_I25_J,axiom, % 218.86/219.47 ! [V_k_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zmod__minus1__right,axiom, % 218.86/219.47 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 218.86/219.47 % 218.86/219.47 fof(fact_diff__bin__simps_I4_J,axiom, % 218.86/219.47 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_minus__Min,axiom, % 218.86/219.47 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 218.86/219.47 ! [V_n,V_m] : % 218.86/219.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 218.86/219.47 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 218.86/219.47 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zmult__eq__1__iff,axiom, % 218.86/219.47 ! [V_n_2,V_m_2] : % 218.86/219.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 218.86/219.47 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 218.86/219.47 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 218.86/219.47 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 218.86/219.47 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_diff__bin__simps_I6_J,axiom, % 218.86/219.47 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_diff__bin__simps_I5_J,axiom, % 218.86/219.47 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_of__int__m1,axiom, % 218.86/219.47 ! [T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zdiv__minus1__right,axiom, % 218.86/219.47 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zero__code__numeral__code,axiom, % 218.86/219.47 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ). % 218.86/219.47 % 218.86/219.47 fof(fact_minus1__divide,axiom, % 218.86/219.47 ! [V_x,T_a] : % 218.86/219.47 ( ( class_Fields_Ofield__inverse__zero(T_a) % 218.86/219.47 & class_Int_Onumber__ring(T_a) ) % 218.86/219.47 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_abs__power__minus__one,axiom, % 218.86/219.47 ! [V_n,T_a] : % 218.86/219.47 ( ( class_Int_Onumber__ring(T_a) % 218.86/219.47 & class_Rings_Olinordered__idom(T_a) ) % 218.86/219.47 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__eq__minus1,axiom, % 218.86/219.47 ! [V_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__pos__neg__trivial,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zmod__minus1,axiom, % 218.86/219.47 ! [V_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_one__code__numeral__code,axiom, % 218.86/219.47 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_power__m1__even,axiom, % 218.86/219.47 ! [V_n,T_a] : % 218.86/219.47 ( class_Int_Onumber__ring(T_a) % 218.86/219.47 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nitpick_OFrac__def,axiom, % 218.86/219.47 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_int__ge__less__than2__def,axiom, % 218.86/219.47 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_int__ge__less__than__def,axiom, % 218.86/219.47 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_inj__graph,axiom, % 218.86/219.47 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nitpick_Oprod__def,axiom, % 218.86/219.47 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat__of__aux__code,axiom, % 218.86/219.47 ! [V_n,V_i] : % 218.86/219.47 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 218.86/219.47 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 218.86/219.47 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 218.86/219.47 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__rel__def,axiom, % 218.86/219.47 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__correct,axiom, % 218.86/219.47 ! [V_a,V_b] : % 218.86/219.47 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zmult2__lemma,axiom, % 218.86/219.47 ! [V_c,V_r,V_q,V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral_Osize_I1_J,axiom, % 218.86/219.47 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nats__number__of,axiom, % 218.86/219.47 ! [V_w_2,T_b] : % 218.86/219.47 ( class_Int_Onumber__ring(T_b) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_bot__empty__eq2,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pred__equals__eq2,axiom, % 218.86/219.47 ! [V_S_2,V_R_2,T_c,T_b] : % 218.86/219.47 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2) % 218.86/219.47 <=> V_R_2 = V_S_2 ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_inf__Int__eq2,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pred__subset__eq2,axiom, % 218.86/219.47 ! [V_S_2,V_R_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sup__Un__eq2,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_enum__ex__prod__def,axiom, % 218.86/219.47 ! [V_P_2,T_b,T_c] : % 218.86/219.47 ( ( class_Enum_Oenum(T_c) % 218.86/219.47 & class_Enum_Oenum(T_b) ) % 218.86/219.47 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2)) % 218.86/219.47 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_enum__all__prod__def,axiom, % 218.86/219.47 ! [V_P_2,T_b,T_c] : % 218.86/219.47 ( ( class_Enum_Oenum(T_c) % 218.86/219.47 & class_Enum_Oenum(T_b) ) % 218.86/219.47 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2)) % 218.86/219.47 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Image__iff,axiom, % 218.86/219.47 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 218.86/219.47 <=> ? [B_x] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 218.86/219.47 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rev__ImageI,axiom, % 218.86/219.47 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_unique__remainder,axiom, % 218.86/219.47 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H))) % 218.86/219.47 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => V_r = V_r_H ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_unique__quotient,axiom, % 218.86/219.47 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H))) % 218.86/219.47 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => V_q = V_q_H ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_self__remainder,axiom, % 218.86/219.47 ! [V_r,V_q,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__rel__0,axiom, % 218.86/219.47 ! [V_b] : % 218.86/219.47 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_SUP__UN__eq2,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_INF__INT__eq2,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_self__quotient,axiom, % 218.86/219.47 ! [V_r,V_q,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__rel__mod,axiom, % 218.86/219.47 ! [V_r,V_q,V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__rel__div,axiom, % 218.86/219.47 ! [V_r,V_q,V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nats__0,axiom, % 218.86/219.47 ! [T_b] : % 218.86/219.47 ( class_Rings_Osemiring__1(T_b) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__mod__div,axiom, % 218.86/219.47 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nats__add,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,T_b] : % 218.86/219.47 ( class_Rings_Osemiring__1(T_b) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nats__mult,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,T_b] : % 218.86/219.47 ( class_Rings_Osemiring__1(T_b) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nats__1,axiom, % 218.86/219.47 ! [T_b] : % 218.86/219.47 ( class_Rings_Osemiring__1(T_b) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_of__nat__in__Nats,axiom, % 218.86/219.47 ! [V_n_2,T_b] : % 218.86/219.47 ( class_Rings_Osemiring__1(T_b) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Image__singleton__iff,axiom, % 218.86/219.47 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__rel__div__mod,axiom, % 218.86/219.47 ! [V_a,V_b] : % 218.86/219.47 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Image__singleton,axiom, % 218.86/219.47 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zadd1__lemma,axiom, % 218.86/219.47 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar))) % 218.86/219.47 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br))) % 218.86/219.47 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zminus1__lemma,axiom, % 218.86/219.47 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2))) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__relI,axiom, % 218.86/219.47 ! [V_r,V_q,V_b,V_a] : % 218.86/219.47 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) % 218.86/219.47 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 218.86/219.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 218.86/219.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_zmult1__lemma,axiom, % 218.86/219.47 ! [V_a,V_r,V_q,V_c,V_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) % 218.86/219.47 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pair__imageI,axiom, % 218.86/219.47 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_norm__frac_Osimps,axiom, % 218.86/219.47 ! [V_a_2,V_b_2] : % 218.86/219.47 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.47 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 218.86/219.47 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.47 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_adjust__eq,axiom, % 218.86/219.47 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sup2E,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 218.86/219.47 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sup2CI,axiom, % 218.86/219.47 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 218.86/219.47 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_inf2I,axiom, % 218.86/219.47 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_inf2E,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 218.86/219.47 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 218.86/219.47 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mem__splitI,axiom, % 218.86/219.47 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_splitI,axiom, % 218.86/219.47 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_prod__caseI,axiom, % 218.86/219.47 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_bot2E,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_swap__inj__on,axiom, % 218.86/219.47 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_splitD_H,axiom, % 218.86/219.47 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_inf2D1,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_inf2D2,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sup2I1,axiom, % 218.86/219.47 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_sup2I2,axiom, % 218.86/219.47 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rev__predicate2D,axiom, % 218.86/219.47 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_predicate2D,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Pair__inject,axiom, % 218.86/219.47 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 218.86/219.47 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H) % 218.86/219.47 => ~ ( V_a = V_a_H % 218.86/219.47 => V_b != V_b_H ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Pair__eq,axiom, % 218.86/219.47 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 218.86/219.47 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2) % 218.86/219.47 <=> ( V_a_2 = V_a_H_2 % 218.86/219.47 & V_b_2 = V_b_H_2 ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__paired__All,axiom, % 218.86/219.47 ! [T_c,T_b,V_P_2] : % 218.86/219.47 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 218.86/219.47 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__weak__cong,axiom, % 218.86/219.47 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 218.86/219.47 ( V_p_2 = V_q_2 % 218.86/219.47 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__twice,axiom, % 218.86/219.47 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__conv,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_prod_Osimps_I2_J,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_splitD,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__eta,axiom, % 218.86/219.47 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ). % 218.86/219.47 % 218.86/219.47 fof(fact_The__split__eq,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__paired__The,axiom, % 218.86/219.47 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_P_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_adjust__def,axiom, % 218.86/219.47 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_in__rel__def,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__mod__code__numeral__def,axiom, % 218.86/219.47 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 218.86/219.47 ! [V_w] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) % 218.86/219.47 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) % 218.86/219.47 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg__correct,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg__div__mod,axiom, % 218.86/219.47 ! [V_l,V_k] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 218.86/219.47 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg__minus1,axiom, % 218.86/219.47 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg_Osimps,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) ) % 218.86/219.47 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg__eqn__number__of,axiom, % 218.86/219.47 ! [V_w,V_v] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 218.86/219.47 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) % 218.86/219.47 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg__eqn,axiom, % 218.86/219.47 ! [V_a,V_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 218.86/219.47 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b))) % 218.86/219.47 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Nitpick_Orefl_H__def,axiom, % 218.86/219.47 ! [V_r_2,T_b] : % 218.86/219.47 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 218.86/219.47 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 218.86/219.47 ! [V_w] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg_Osimps,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) ) % 218.86/219.47 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg__0,axiom, % 218.86/219.47 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg__correct,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg__div__mod,axiom, % 218.86/219.47 ! [V_l,V_k] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 218.86/219.47 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg__eqn__number__of,axiom, % 218.86/219.47 ! [V_w,V_v] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.47 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 218.86/219.47 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg__eqn,axiom, % 218.86/219.47 ! [V_a,V_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 218.86/219.47 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 218.86/219.47 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__def,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) % 218.86/219.47 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__step,axiom, % 218.86/219.47 ! [V_m,V_n] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 218.86/219.47 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__pdivmod,axiom, % 218.86/219.47 ! [V_l_2,V_k_2] : % 218.86/219.47 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) % 218.86/219.47 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) ) % 218.86/219.47 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apsnd__compose,axiom, % 218.86/219.47 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negateSnd__def,axiom, % 218.86/219.47 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apsnd__conv,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__zero,axiom, % 218.86/219.47 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__base,axiom, % 218.86/219.47 ! [V_n,V_m] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 218.86/219.47 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negateSnd__eq,axiom, % 218.86/219.47 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__div__mod,axiom, % 218.86/219.47 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__rel__neg,axiom, % 218.86/219.47 ! [V_qr,V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr)) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__if,axiom, % 218.86/219.47 ! [V_m_2,V_n_2] : % 218.86/219.47 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 218.86/219.47 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) ) % 218.86/219.47 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 218.86/219.47 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2),V_n_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pdivmod__def,axiom, % 218.86/219.47 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pdivmod__posDivAlg,axiom, % 218.86/219.47 ! [V_k,V_l] : % 218.86/219.47 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) ) % 218.86/219.47 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__int__code,axiom, % 218.86/219.47 ! [V_l_2,V_k_2] : % 218.86/219.47 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) % 218.86/219.47 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) ) % 218.86/219.47 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 218.86/219.47 ! [V_a,V_r,V_q,V_c,V_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 218.86/219.47 ! [V_c,V_r,V_q,V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg_Opsimps,axiom, % 218.86/219.47 ! [V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.47 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) ) % 218.86/219.47 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__rel__unique,axiom, % 218.86/219.47 ! [V_qr_H,V_qr,V_n,V_m] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 218.86/219.47 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 218.86/219.47 => V_qr = V_qr_H ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 218.86/219.47 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__eq,axiom, % 218.86/219.47 ! [V_qr,V_n,V_m] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 218.86/219.47 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__def,axiom, % 218.86/219.47 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__eq,axiom, % 218.86/219.47 ! [V_r,V_q,V_n,V_m] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__eq,axiom, % 218.86/219.47 ! [V_r,V_q,V_n,V_m] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__rel,axiom, % 218.86/219.47 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__rel__add1__eq,axiom, % 218.86/219.47 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar))) % 218.86/219.47 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 218.86/219.47 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg_Opsimps,axiom, % 218.86/219.47 ! [V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.47 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) ) % 218.86/219.47 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_norm__frac_Opsimps,axiom, % 218.86/219.47 ! [V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2))) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.47 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 218.86/219.47 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 218.86/219.47 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 218.86/219.47 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_negDivAlg_Opinduct,axiom, % 218.86/219.47 ! [V_P_2,V_a1_2,V_a0_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 218.86/219.47 => ( ! [B_a,B_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b))) % 218.86/219.47 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b))) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_posDivAlg_Opinduct,axiom, % 218.86/219.47 ! [V_P_2,V_a1_2,V_a0_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 218.86/219.47 => ( ! [B_a,B_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b))) % 218.86/219.47 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 218.86/219.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_accp__subset,axiom, % 218.86/219.47 ! [V_R2_2,V_R1_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__pos__neg__1__number__of,axiom, % 218.86/219.47 ! [V_w] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_snd__eqD,axiom, % 218.86/219.47 ! [V_a,V_y,V_x,T_a,T_b] : % 218.86/219.47 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a % 218.86/219.47 => V_y = V_a ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_snd__conv,axiom, % 218.86/219.47 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ). % 218.86/219.47 % 218.86/219.47 fof(fact_snd__def,axiom, % 218.86/219.47 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_snd__apsnd,axiom, % 218.86/219.47 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apsnd__eq__conv,axiom, % 218.86/219.47 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 218.86/219.47 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2) % 218.86/219.47 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__int__def,axiom, % 218.86/219.47 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_accp__downward,axiom, % 218.86/219.47 ! [V_a_2,V_b_2,V_r_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 218.86/219.47 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_accp_Oequations,axiom, % 218.86/219.47 ! [V_a_2,V_r_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 218.86/219.47 <=> ! [B_x] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 218.86/219.47 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_accp_Osimps,axiom, % 218.86/219.47 ! [V_a_2,V_r_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 218.86/219.47 <=> ! [B_x] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 218.86/219.47 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__neg__pos,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__pos__pos,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__pos__pos__1__number__of,axiom, % 218.86/219.47 ! [V_w] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__pos__neg,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__neg__neg,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat__gcd_Opsimps,axiom, % 218.86/219.47 ! [V_y_2,V_x_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2))) % 218.86/219.47 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 218.86/219.47 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat_Osize_I2_J,axiom, % 218.86/219.47 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_in__measure,axiom, % 218.86/219.47 ! [V_f_2,V_y_2,V_x_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mod__nat__def,axiom, % 218.86/219.47 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat_Osize_I1_J,axiom, % 218.86/219.47 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.47 % 218.86/219.47 fof(fact_irrefl__def,axiom, % 218.86/219.47 ! [V_r_2,T_b] : % 218.86/219.47 ( c_Relation_Oirrefl(T_b,V_r_2) % 218.86/219.47 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_norm__frac_Opinduct,axiom, % 218.86/219.47 ! [V_P_2,V_a1_2,V_a0_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 218.86/219.47 => ( ! [B_a,B_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b))) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__pos__neg__1__number__of,axiom, % 218.86/219.47 ! [V_w] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Pair__fst__snd__eq,axiom, % 218.86/219.47 ! [T_c,T_b,V_t_2,V_s_2] : % 218.86/219.47 ( V_s_2 = V_t_2 % 218.86/219.47 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 218.86/219.47 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_prod__eqI,axiom, % 218.86/219.47 ! [V_q,V_p,T_b,T_a] : % 218.86/219.47 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 218.86/219.47 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 218.86/219.47 => V_p = V_q ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_fst__eqD,axiom, % 218.86/219.47 ! [V_a,V_y,V_x,T_b,T_a] : % 218.86/219.47 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a % 218.86/219.47 => V_x = V_a ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_fst__conv,axiom, % 218.86/219.47 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ). % 218.86/219.47 % 218.86/219.47 fof(fact_fst__def,axiom, % 218.86/219.47 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_fst__apsnd,axiom, % 218.86/219.47 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pair__collapse,axiom, % 218.86/219.47 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ). % 218.86/219.47 % 218.86/219.47 fof(fact_surjective__pairing,axiom, % 218.86/219.47 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_prod__case__beta,axiom, % 218.86/219.47 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__int__def,axiom, % 218.86/219.47 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__beta,axiom, % 218.86/219.47 ! [V_z_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__comp__eq,axiom, % 218.86/219.47 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__def,axiom, % 218.86/219.47 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_split__comp,axiom, % 218.86/219.47 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_The__split,axiom, % 218.86/219.47 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__neg__pos,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__pos__pos,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__pos__pos__1__number__of,axiom, % 218.86/219.47 ! [V_w] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__pos__neg,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__neg__neg,axiom, % 218.86/219.47 ! [V_b,V_a] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 218.86/219.47 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_prod__size__simp,axiom, % 218.86/219.47 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_exI__realizer,axiom, % 218.86/219.47 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_conjI__realizer,axiom, % 218.86/219.47 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] : % 218.86/219.47 ( hBOOL(hAPP(V_P_2,V_p_2)) % 218.86/219.47 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 218.86/219.47 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) % 218.86/219.47 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_div__nat__def,axiom, % 218.86/219.47 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_divmod__nat__rel__def,axiom, % 218.86/219.47 ! [V_qr_2,V_n_2,V_m_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 218.86/219.47 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)) % 218.86/219.47 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 218.86/219.47 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 218.86/219.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) ) % 218.86/219.47 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))) % 218.86/219.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat__def,axiom, % 218.86/219.47 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat__gcd_Opinduct,axiom, % 218.86/219.47 ! [V_P_2,V_a1_2,V_a0_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2))) % 218.86/219.47 => ( ! [B_x,B_y] : % 218.86/219.47 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y))) % 218.86/219.47 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_inv__image__def,axiom, % 218.86/219.47 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Rep__Integ__inject,axiom, % 218.86/219.47 ! [V_y_2,V_x_2] : % 218.86/219.47 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 218.86/219.47 <=> V_x_2 = V_y_2 ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_in__inv__image,axiom, % 218.86/219.47 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rp__inv__image__def,axiom, % 218.86/219.47 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equiv__class__nondisjoint,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_subset__equiv__class,axiom, % 218.86/219.47 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Union__quotient,axiom, % 218.86/219.47 ! [V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equiv__class__self,axiom, % 218.86/219.47 ! [V_a_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_quotient__disj,axiom, % 218.86/219.47 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( V_X_2 = V_Y_2 % 218.86/219.47 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equiv__class__eq,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 218.86/219.47 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_quotient__eq__iff,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 218.86/219.47 => ( V_X_2 = V_Y_2 % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_quotient__eqI,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 218.86/219.47 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equiv__class__eq__iff,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 218.86/219.47 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.47 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.47 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_eq__equiv__class,axiom, % 218.86/219.47 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 218.86/219.47 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.47 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_eq__equiv__class__iff,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 218.86/219.47 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equiv__class__subset,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_eq__equiv__class__iff2,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 218.86/219.47 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_UN__equiv__class,axiom, % 218.86/219.47 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.47 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_UN__equiv__class2,axiom, % 218.86/219.47 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 218.86/219.47 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 218.86/219.47 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 218.86/219.47 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_in__finite__psubset,axiom, % 218.86/219.47 ! [V_B_2,V_A_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b))) % 218.86/219.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 218.86/219.47 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_congruent2__implies__congruent,axiom, % 218.86/219.47 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 218.86/219.47 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.47 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_congruent2D,axiom, % 218.86/219.47 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2)) % 218.86/219.47 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_congruentD,axiom, % 218.86/219.47 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2)) % 218.86/219.47 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_congruent2__implies__congruent__UN,axiom, % 218.86/219.47 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 218.86/219.47 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 218.86/219.47 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 218.86/219.47 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_finite__psubset__def,axiom, % 218.86/219.47 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_UN__equiv__class__inject,axiom, % 218.86/219.47 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 218.86/219.47 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( ! [B_x] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.47 => ! [B_y] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 218.86/219.47 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) ) % 218.86/219.47 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_UN__equiv__class__type2,axiom, % 218.86/219.47 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 218.86/219.47 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 218.86/219.47 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2))) % 218.86/219.47 => ( ! [B_x1] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 218.86/219.47 => ! [B_x2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_UN__equiv__class__type,axiom, % 218.86/219.47 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 218.86/219.47 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 218.86/219.47 => ( ! [B_x] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mlex__leq,axiom, % 218.86/219.47 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral_Osize_I2_J,axiom, % 218.86/219.47 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mlex__less,axiom, % 218.86/219.47 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral_Oinject,axiom, % 218.86/219.47 ! [V_code__numeral_H_2,V_code__numeral_2] : % 218.86/219.47 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 218.86/219.47 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral_Osimps_I2_J,axiom, % 218.86/219.47 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral_Osimps_I3_J,axiom, % 218.86/219.47 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Suc__code__numeral__minus__one,axiom, % 218.86/219.47 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral_Osize_I4_J,axiom, % 218.86/219.47 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat_Osize_I4_J,axiom, % 218.86/219.47 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_prod_Orecs,axiom, % 218.86/219.47 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat__size,axiom, % 218.86/219.47 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 218.86/219.47 % 218.86/219.47 fof(fact_nat_Osize_I3_J,axiom, % 218.86/219.47 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.47 % 218.86/219.47 fof(fact_code__numeral_Osize_I3_J,axiom, % 218.86/219.47 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 218.86/219.47 % 218.86/219.47 fof(fact_lfp__induct2,axiom, % 218.86/219.47 ! [V_P_2,V_f_2,V_b_2,V_a_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2))) % 218.86/219.47 => ( c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2) % 218.86/219.47 => ( ! [B_a,B_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)))))) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_P_2,V_a_2),V_b_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_in__lex__prod,axiom, % 218.86/219.47 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2))) % 218.86/219.47 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2)) % 218.86/219.47 | ( V_a_2 = V_a_H_2 % 218.86/219.47 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equivp__equiv,axiom, % 218.86/219.47 ! [V_A_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 218.86/219.47 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_identity__equivp,axiom, % 218.86/219.47 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equivp__def,axiom, % 218.86/219.47 ! [V_R_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 218.86/219.47 <=> ! [B_x,B_y] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 218.86/219.47 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equivp__reflp,axiom, % 218.86/219.47 ! [V_x_2,V_R_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equivp__symp,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_R_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equivp__transp,axiom, % 218.86/219.47 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 218.86/219.47 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_same__fstI,axiom, % 218.86/219.47 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] : % 218.86/219.47 ( hBOOL(hAPP(V_P_2,V_x_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apfst__apsnd,axiom, % 218.86/219.47 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apsnd__apfst,axiom, % 218.86/219.47 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apfst__conv,axiom, % 218.86/219.47 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_fst__apfst,axiom, % 218.86/219.47 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apfst__eq__conv,axiom, % 218.86/219.47 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 218.86/219.47 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2) % 218.86/219.47 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_snd__apfst,axiom, % 218.86/219.47 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apfst__compose,axiom, % 218.86/219.47 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_apsnd__apfst__commute,axiom, % 218.86/219.47 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pair__lessI2,axiom, % 218.86/219.47 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_ImageE,axiom, % 218.86/219.47 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 218.86/219.47 => ~ ! [B_x] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) % 218.86/219.47 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mlex__prod__def,axiom, % 218.86/219.47 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pair__less__def,axiom, % 218.86/219.47 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 218.86/219.47 % 218.86/219.47 fof(fact_measure__def,axiom, % 218.86/219.47 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 218.86/219.47 % 218.86/219.47 fof(fact_less__than__iff,axiom, % 218.86/219.47 ! [V_y_2,V_x_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than)) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pair__lessI1,axiom, % 218.86/219.47 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pair__leqI2,axiom, % 218.86/219.47 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_smin__insertI,axiom, % 218.86/219.47 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_smax__insertI,axiom, % 218.86/219.47 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_smax__emptyI,axiom, % 218.86/219.47 ! [V_Y_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 218.86/219.47 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_smin__emptyI,axiom, % 218.86/219.47 ! [V_X_2] : % 218.86/219.47 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_pair__leqI1,axiom, % 218.86/219.47 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_wmax__insertI,axiom, % 218.86/219.47 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_wmin__insertI,axiom, % 218.86/219.47 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq)) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Field__insert,axiom, % 218.86/219.47 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Field__Union,axiom, % 218.86/219.47 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Field__empty,axiom, % 218.86/219.47 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_mono__Field,axiom, % 218.86/219.47 ! [V_s_2,V_r_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Field__Un,axiom, % 218.86/219.47 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_finite__Field,axiom, % 218.86/219.47 ! [V_r_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 218.86/219.47 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_wmin__emptyI,axiom, % 218.86/219.47 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_wmax__emptyI,axiom, % 218.86/219.47 ! [V_X_2] : % 218.86/219.47 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_min__weak__def,axiom, % 218.86/219.47 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_max__weak__def,axiom, % 218.86/219.47 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Id__on__def,axiom, % 218.86/219.47 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Id__on__def_H,axiom, % 218.86/219.47 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Id__on__empty,axiom, % 218.86/219.47 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Image__Id__on,axiom, % 218.86/219.47 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Id__on__iff,axiom, % 218.86/219.47 ! [V_A_2,V_y_2,V_x_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2))) % 218.86/219.47 <=> ( V_x_2 = V_y_2 % 218.86/219.47 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Id__on__eqI,axiom, % 218.86/219.47 ! [V_A_2,T_b,V_b_2,V_a_2] : % 218.86/219.47 ( V_a_2 = V_b_2 % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_max__strict__def,axiom, % 218.86/219.47 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 218.86/219.47 % 218.86/219.47 fof(fact_max__ext__additive,axiom, % 218.86/219.47 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 218.86/219.47 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 218.86/219.47 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_min__strict__def,axiom, % 218.86/219.47 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 218.86/219.47 % 218.86/219.47 fof(fact_max__extp__max__ext__eq,axiom, % 218.86/219.47 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 218.86/219.47 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_min__rpair__set,axiom, % 218.86/219.47 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_max__rpair__set,axiom, % 218.86/219.47 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ). % 218.86/219.47 % 218.86/219.47 fof(fact_rp__inv__image__rp,axiom, % 218.86/219.47 ! [V_f_2,T_c,V_P_2,T_b] : % 218.86/219.47 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 218.86/219.47 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equiv__intrel__iff,axiom, % 218.86/219.47 ! [V_y_2,V_x_2] : % 218.86/219.47 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) % 218.86/219.47 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_intrel__iff,axiom, % 218.86/219.47 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel)) % 218.86/219.47 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_Id__onE,axiom, % 218.86/219.47 ! [V_A_2,V_c_2,T_b] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 218.86/219.47 => ~ ! [B_x] : % 218.86/219.47 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 218.86/219.47 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_equiv__intrel,axiom, % 218.86/219.47 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ). % 218.86/219.47 % 218.86/219.47 fof(fact_of__int,axiom, % 218.86/219.47 ! [V_j_2,V_i_2,T_b] : % 218.86/219.47 ( class_Rings_Oring__1(T_b) % 218.86/219.47 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ). % 218.86/219.47 % 218.86/219.47 fof(fact_One__int__def,axiom, % 218.86/219.47 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_mult,axiom, % 218.86/219.48 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_Rep__Integ__inverse,axiom, % 218.86/219.48 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 218.86/219.48 % 218.86/219.48 fof(fact_minus,axiom, % 218.86/219.48 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_Zero__int__def,axiom, % 218.86/219.48 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_int__def,axiom, % 218.86/219.48 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_add,axiom, % 218.86/219.48 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_nat,axiom, % 218.86/219.48 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ). % 218.86/219.48 % 218.86/219.48 fof(fact_minus__int__def,axiom, % 218.86/219.48 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_less,axiom, % 218.86/219.48 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) % 218.86/219.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_le,axiom, % 218.86/219.48 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) % 218.86/219.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_eq__Abs__Integ,axiom, % 218.86/219.48 ! [V_z_2] : % 218.86/219.48 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_Integ__def,axiom, % 218.86/219.48 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ). % 218.86/219.48 % 218.86/219.48 fof(fact_code__numeral_Osimps_I5_J,axiom, % 218.86/219.48 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ). % 218.86/219.48 % 218.86/219.48 fof(fact_Rep__Integ,axiom, % 218.86/219.48 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_x_2)),c_Int_OInteg)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_code__numeral_Osimps_I4_J,axiom, % 218.86/219.48 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition__Integ,axiom, % 218.86/219.48 c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg) ). % 218.86/219.48 % 218.86/219.48 fof(fact_accp__acc__eq,axiom, % 218.86/219.48 ! [V_x_2,V_r_2,T_b] : % 218.86/219.48 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2)) % 218.86/219.48 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__def,axiom, % 218.86/219.48 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__compI,axiom, % 218.86/219.48 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__UNION__distrib2,axiom, % 218.86/219.48 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__UNION__distrib,axiom, % 218.86/219.48 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__empty1,axiom, % 218.86/219.48 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__empty2,axiom, % 218.86/219.48 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__distrib,axiom, % 218.86/219.48 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__distrib2,axiom, % 218.86/219.48 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_O__assoc,axiom, % 218.86/219.48 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_rel__comp__mono,axiom, % 218.86/219.48 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2)) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_union__comp__emptyR,axiom, % 218.86/219.48 ! [V_C_2,V_B_2,V_A_2,T_b] : % 218.86/219.48 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 218.86/219.48 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 218.86/219.48 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_union__comp__emptyL,axiom, % 218.86/219.48 ! [V_B_2,V_C_2,V_A_2,T_b] : % 218.86/219.48 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 218.86/219.48 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 218.86/219.48 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_acc__subset,axiom, % 218.86/219.48 ! [V_R2_2,V_R1_2,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_acc__downward,axiom, % 218.86/219.48 ! [V_a_2,V_r_2,V_b_2,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_acc_Osimps,axiom, % 218.86/219.48 ! [V_r_2,V_a_2,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 218.86/219.48 <=> ! [B_x] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_max__ext__compat,axiom, % 218.86/219.48 ! [V_S_2,V_R_2,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_min__ext__compat,axiom, % 218.86/219.48 ! [V_S_2,V_R_2,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition_OAbs__image,axiom, % 218.86/219.48 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 218.86/219.48 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 218.86/219.48 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition_ORep__range,axiom, % 218.86/219.48 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 218.86/219.48 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 218.86/219.48 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition_ORep,axiom, % 218.86/219.48 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 218.86/219.48 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition_ORep__inverse,axiom, % 218.86/219.48 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 218.86/219.48 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 218.86/219.48 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition_ORep__inject,axiom, % 218.86/219.48 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 218.86/219.48 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 218.86/219.48 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 218.86/219.48 <=> V_x_2 = V_y_2 ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition_OAbs__inject,axiom, % 218.86/219.48 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 218.86/219.48 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 218.86/219.48 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 218.86/219.48 <=> V_x_2 = V_y_2 ) ) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_type__definition_OAbs__inverse,axiom, % 218.86/219.48 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 218.86/219.48 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 218.86/219.48 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_pred__comp__rel__comp__eq,axiom, % 218.86/219.48 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2)) % 218.86/219.48 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_reduction__pairI,axiom, % 218.86/219.48 ! [V_S_2,V_R_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_R_2) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 218.86/219.48 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_max__extp_Oequations,axiom, % 218.86/219.48 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 218.86/219.48 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 218.86/219.48 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 218.86/219.48 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 218.86/219.48 & ! [B_x] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 218.86/219.48 => ? [B_xa] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 218.86/219.48 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__less__than,axiom, % 218.86/219.48 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 218.86/219.48 % 218.86/219.48 fof(fact_pred__comp_Ointros,axiom, % 218.86/219.48 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__empty,axiom, % 218.86/219.48 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__inv__image,axiom, % 218.86/219.48 ! [V_f_2,T_c,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__lex__prod,axiom, % 218.86/219.48 ! [V_rb_2,T_c,V_ra_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_ra_2) % 218.86/219.48 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 218.86/219.48 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__measure,axiom, % 218.86/219.48 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__comp__self,axiom, % 218.86/219.48 ! [V_R_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_R_2) % 218.86/219.48 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__subset,axiom, % 218.86/219.48 ! [V_p_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2)) % 218.86/219.48 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_min__ext__wf,axiom, % 218.86/219.48 ! [V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__less,axiom, % 218.86/219.48 c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) ). % 218.86/219.48 % 218.86/219.48 fof(fact_pred__comp_Oequations,axiom, % 218.86/219.48 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2)) % 218.86/219.48 <=> ? [B_b] : % 218.86/219.48 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 218.86/219.48 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__Int2,axiom, % 218.86/219.48 ! [V_r_H_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__Int1,axiom, % 218.86/219.48 ! [V_r_H_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__finite__psubset,axiom, % 218.86/219.48 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__mlex,axiom, % 218.86/219.48 ! [V_f_2,V_R_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_R_2) % 218.86/219.48 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__pair__less,axiom, % 218.86/219.48 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 218.86/219.48 % 218.86/219.48 fof(fact_max__ext__wf,axiom, % 218.86/219.48 ! [V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__not__refl,axiom, % 218.86/219.48 ! [V_a_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__not__sym,axiom, % 218.86/219.48 ! [V_x_2,V_a_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 218.86/219.48 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__asym,axiom, % 218.86/219.48 ! [V_x_2,V_a_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2)) % 218.86/219.48 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__irrefl,axiom, % 218.86/219.48 ! [V_a_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__int__ge__less__than,axiom, % 218.86/219.48 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__int__ge__less__than2,axiom, % 218.86/219.48 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__acc__iff,axiom, % 218.86/219.48 ! [V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_acc__wfD,axiom, % 218.86/219.48 ! [V_x_2,V_r_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 218.86/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__no__loop,axiom, % 218.86/219.48 ! [V_R_2,T_b] : % 218.86/219.48 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 218.86/219.48 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 218.86/219.48 % 218.86/219.48 fof(fact_wf__union__merge,axiom, % 218.86/219.48 ! [V_S_2,V_R_2,T_b] : % 218.86/219.48 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 219.19/219.48 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 <=> ~ ? [B_f] : % 219.19/219.48 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfE__pf,axiom, % 219.19/219.48 ! [V_A_2,V_R_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_R_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2))) % 219.19/219.48 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__union__compatible,axiom, % 219.19/219.48 ! [V_S_2,V_R_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_R_2) % 219.19/219.48 => ( c_Wellfounded_Owf(T_b,V_S_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2)) % 219.19/219.48 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf,axiom, % 219.19/219.48 ! [T_b] : % 219.19/219.48 ( class_Orderings_Owellorder(T_b) % 219.19/219.48 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_reduction__pair__def,axiom, % 219.19/219.48 ! [V_P_2,T_b] : % 219.19/219.48 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 219.19/219.48 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)) % 219.19/219.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_reduction__pair__lemma,axiom, % 219.19/219.48 ! [V_S_2,V_R_2,V_P_2,T_b] : % 219.19/219.48 ( c_FunDef_Oreduction__pair(T_b,V_P_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) % 219.19/219.48 => ( c_Wellfounded_Owf(T_b,V_S_2) % 219.19/219.48 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__lenlex,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__if__measure,axiom, % 219.19/219.48 ! [T_b,V_g_2,V_f_2,V_P_2] : % 219.19/219.48 ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(V_P_2,B_x)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,hAPP(V_g_2,B_x))),hAPP(V_f_2,B_x))) ) % 219.19/219.48 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_max__ext_Ointros,axiom, % 219.19/219.48 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 219.19/219.48 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 219.19/219.48 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 219.19/219.48 => ? [B_xa] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 219.19/219.48 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_pred__nat__def,axiom, % 219.19/219.48 c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__lex,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__lexn,axiom, % 219.19/219.48 ! [V_n_2,V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_lex__def,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_lexn_Osimps_I1_J,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__pred__nat,axiom, % 219.19/219.48 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__same__fst,axiom, % 219.19/219.48 ! [T_b,V_R_2,T_c,V_P_2] : % 219.19/219.48 ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(V_P_2,B_x)) % 219.19/219.48 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 219.19/219.48 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Nitpick_Ozero__frac__def,axiom, % 219.19/219.48 ! [T_a] : c_Nitpick_Ozero__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__Collect__split,axiom, % 219.19/219.48 ! [V_P_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_RangeI,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__Id__on,axiom, % 219.19/219.48 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__Diff__subset,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__Union,axiom, % 219.19/219.48 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__empty,axiom, % 219.19/219.48 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__empty__iff,axiom, % 219.19/219.48 ! [V_r_2,T_b,T_c] : % 219.19/219.48 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__Un__eq,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__Range,axiom, % 219.19/219.48 ! [V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_snd__eq__Range,axiom, % 219.19/219.48 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__iff,axiom, % 219.19/219.48 ! [V_r_2,T_c,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 219.19/219.48 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__insert,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__Int__subset,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Nitpick_Oone__frac__def,axiom, % 219.19/219.48 ! [T_a] : c_Nitpick_Oone__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 219.19/219.48 ! [V_n,T_a] : c_Nitpick_Onumber__of__frac(T_a,V_n) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_n),c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_RangeP__Range__eq,axiom, % 219.19/219.48 ! [V_x_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_RangeP_Ointros,axiom, % 219.19/219.48 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 219.19/219.48 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_RangeP_Oequations,axiom, % 219.19/219.48 ! [V_a2_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 219.19/219.48 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Nitpick_Ofrac__def,axiom, % 219.19/219.48 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_RangeE,axiom, % 219.19/219.48 ! [V_r_2,T_c,V_b_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 219.19/219.48 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__Un,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => ( c_Wellfounded_Owf(T_b,V_s_2) % 219.19/219.48 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_DomainI,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__Id__on,axiom, % 219.19/219.48 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__empty,axiom, % 219.19/219.48 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__empty__iff,axiom, % 219.19/219.48 ! [V_r_2,T_c,T_b] : % 219.19/219.48 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__mono,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__Un__eq,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__Domain,axiom, % 219.19/219.48 ! [V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_fst__eq__Domain,axiom, % 219.19/219.48 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__iff,axiom, % 219.19/219.48 ! [V_r_2,T_c,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 219.19/219.48 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__insert,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__Int__subset,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__Diff__subset,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Field__def,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__Union,axiom, % 219.19/219.48 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__Collect__split,axiom, % 219.19/219.48 ! [V_P_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_P_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_DomainP__Domain__eq,axiom, % 219.19/219.48 ! [V_x_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2)) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_DomainE,axiom, % 219.19/219.48 ! [V_r_2,T_c,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 219.19/219.48 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_image__split__eq__Sigma,axiom, % 219.19/219.48 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_DomainP_Ointros,axiom, % 219.19/219.48 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 219.19/219.48 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_SigmaI,axiom, % 219.19/219.48 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__empty1,axiom, % 219.19/219.48 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Times__eq__cancel2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 219.19/219.48 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) % 219.19/219.48 <=> V_A_2 = V_B_2 ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__Union,axiom, % 219.19/219.48 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_card__cartesian__product,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setsum__cartesian__product,axiom, % 219.19/219.48 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__add(T_b) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__empty2,axiom, % 219.19/219.48 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Times__empty,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : % 219.19/219.48 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) % 219.19/219.48 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Compl__Times__UNIV2,axiom, % 219.19/219.48 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Compl__Times__UNIV1,axiom, % 219.19/219.48 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setprod__cartesian__product,axiom, % 219.19/219.48 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__mult(T_b) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__Un__distrib2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Times__Un__distrib1,axiom, % 219.19/219.48 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__Un__distrib1,axiom, % 219.19/219.48 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rel__comp__subset__Sigma,axiom, % 219.19/219.48 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2)))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_swap__product,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__cartesian__product,axiom, % 219.19/219.48 ! [V_B_2,T_c,V_A_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_equiv__type,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__Int__distrib1,axiom, % 219.19/219.48 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Times__Int__distrib1,axiom, % 219.19/219.48 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__Int__distrib2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Id__on__subset__Times,axiom, % 219.19/219.48 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__Diff__distrib2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Times__Diff__distrib1,axiom, % 219.19/219.48 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__Diff__distrib1,axiom, % 219.19/219.48 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_DomainP_Oequations,axiom, % 219.19/219.48 ! [V_a1_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 219.19/219.48 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_UNIV__Times__UNIV,axiom, % 219.19/219.48 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_SigmaE2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 219.19/219.48 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.48 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_SigmaD2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_SigmaD1,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_mem__Sigma__iff,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 219.19/219.48 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.48 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_card__cartesian__product__singleton,axiom, % 219.19/219.48 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Times__subset__cancel2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)))) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Image__subset,axiom, % 219.19/219.48 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__cartesian__productD2,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 219.19/219.48 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__cartesian__productD1,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) % 219.19/219.48 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_SetCompr__Sigma__eq,axiom, % 219.19/219.48 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Collect__split,axiom, % 219.19/219.48 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_fst__image__times,axiom, % 219.19/219.48 ! [V_A_2,T_c,T_b,V_B_2] : % 219.19/219.48 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 219.19/219.48 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_snd__image__times,axiom, % 219.19/219.48 ! [V_B_2,T_c,T_b,V_A_2] : % 219.19/219.48 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 219.19/219.48 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_insert__times__insert,axiom, % 219.19/219.48 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__equiv__class,axiom, % 219.19/219.48 ! [V_X_2,V_r_2,V_A_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_vimage__Times,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_UN__Times__distrib,axiom, % 219.19/219.48 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__def,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__quotient,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setsum__mult__setsum__if__inj,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 219.19/219.48 ( class_Rings_Osemiring__0(T_d) % 219.19/219.48 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) % 219.19/219.48 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 219.19/219.48 ! [V_A_2,V_I_2,T_c,T_b] : % 219.19/219.48 ? [B_f] : % 219.19/219.48 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) % 219.19/219.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_fold__image__Sigma,axiom, % 219.19/219.48 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__mult(T_d) % 219.19/219.48 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 219.19/219.48 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_bij__betw__id,axiom, % 219.19/219.48 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_image__id,axiom, % 219.19/219.48 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_apsnd__id,axiom, % 219.19/219.48 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_id__def,axiom, % 219.19/219.48 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 219.19/219.48 % 219.19/219.48 fof(fact_id__apply,axiom, % 219.19/219.48 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 219.19/219.48 % 219.19/219.48 fof(fact_vimage__id,axiom, % 219.19/219.48 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_bij__betw__id__iff,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_b] : % 219.19/219.48 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 219.19/219.48 <=> V_A_2 = V_B_2 ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_inj__on__id,axiom, % 219.19/219.48 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_o__id,axiom, % 219.19/219.48 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_id__o,axiom, % 219.19/219.48 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_o__eq__id__dest,axiom, % 219.19/219.48 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 219.19/219.48 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2) % 219.19/219.48 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_apfst__id,axiom, % 219.19/219.48 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_of__int__eq__id,axiom, % 219.19/219.48 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 219.19/219.48 % 219.19/219.48 fof(fact_surj__id,axiom, % 219.19/219.48 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_bij__id,axiom, % 219.19/219.48 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_folding_Oempty,axiom, % 219.19/219.48 ! [V_F_2,V_f_2,T_c,T_b] : % 219.19/219.48 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 219.19/219.48 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_split__Pair,axiom, % 219.19/219.48 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setsum__reindex__id,axiom, % 219.19/219.48 ! [V_B_2,V_f_2,T_b,T_c] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__add(T_c) % 219.19/219.48 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setprod__reindex__id,axiom, % 219.19/219.48 ! [V_B_2,V_f_2,T_b,T_c] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__mult(T_c) % 219.19/219.48 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setprod__Sigma,axiom, % 219.19/219.48 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__mult(T_d) % 219.19/219.48 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setsum__Sigma,axiom, % 219.19/219.48 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__add(T_d) % 219.19/219.48 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_card__SigmaI,axiom, % 219.19/219.48 ! [V_B_2,T_c,V_A_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 219.19/219.48 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__SigmaI,axiom, % 219.19/219.48 ! [V_B_2,T_c,V_A_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.48 => ( ! [B_a] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 219.19/219.48 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_SigmaE,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) % 219.19/219.48 => ~ ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => ! [B_y] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 219.19/219.48 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__surj,axiom, % 219.19/219.48 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 219.19/219.48 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) % 219.19/219.48 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__imageI,axiom, % 219.19/219.48 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__simp,axiom, % 219.19/219.48 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__ident,axiom, % 219.19/219.48 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_snd__prod__fun,axiom, % 219.19/219.48 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_fst__map__pair,axiom, % 219.19/219.48 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_fst__comp__map__pair,axiom, % 219.19/219.48 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_snd__comp__map__pair,axiom, % 219.19/219.48 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair_Ocomp,axiom, % 219.19/219.48 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__compose,axiom, % 219.19/219.48 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair_Ocompositionality,axiom, % 219.19/219.48 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair_Oidentity,axiom, % 219.19/219.48 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_apsnd__def,axiom, % 219.19/219.48 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_apfst__def,axiom, % 219.19/219.48 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair_Oid,axiom, % 219.19/219.48 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__def,axiom, % 219.19/219.48 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__surj__on,axiom, % 219.19/219.48 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 219.19/219.48 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 219.19/219.48 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 219.19/219.48 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__map__pair__image,axiom, % 219.19/219.48 ! [V_f_2,T_c,V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.19/219.48 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_map__pair__inj__on,axiom, % 219.19/219.48 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 219.19/219.48 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 219.19/219.48 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_prod__fun__imageE,axiom, % 219.19/219.48 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2))) % 219.19/219.48 => ~ ! [B_x,B_y] : % 219.19/219.48 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y)) % 219.19/219.48 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__def,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 219.19/219.48 & ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfP__def,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_OwfP(T_b,V_r_2) % 219.19/219.48 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfP__empty,axiom, % 219.19/219.48 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__Id__on,axiom, % 219.19/219.48 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_accp__wfPD,axiom, % 219.19/219.48 ! [V_x_2,V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_OwfP(T_b,V_r_2) % 219.19/219.48 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfP__accp__iff,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_OwfP(T_b,V_r_2) % 219.19/219.48 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfP__subset,axiom, % 219.19/219.48 ! [V_p_2,V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_OwfP(T_b,V_r_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2)) % 219.19/219.48 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__empty,axiom, % 219.19/219.48 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__Un,axiom, % 219.19/219.48 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 219.19/219.48 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__Int,axiom, % 219.19/219.48 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 219.19/219.48 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__onD2,axiom, % 219.19/219.48 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__onD1,axiom, % 219.19/219.48 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__onD,axiom, % 219.19/219.48 ! [V_a_2,V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__in__rel,axiom, % 219.19/219.48 ! [V_R_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_R_2) % 219.19/219.48 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfP__wf__eq,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)) % 219.19/219.48 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_reflp__def,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Predicate_Oreflp(T_b,V_r_2) % 219.19/219.48 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__onI,axiom, % 219.19/219.48 ! [V_A_2,V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) % 219.19/219.48 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfP__acyclicP,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_OwfP(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_reflpE,axiom, % 219.19/219.48 ! [V_x_2,V_r_2,T_b] : % 219.19/219.48 ( c_Predicate_Oreflp(T_b,V_r_2) % 219.19/219.48 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acyclic__subset,axiom, % 219.19/219.48 ! [V_r_2,V_s_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.48 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__acyclic,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__iff__acyclic__if__finite,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 219.19/219.48 => ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__acyclic__wf,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 219.19/219.48 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Nitpick_Owf_H__def,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Nitpick_Owf_H(T_b,V_r_2) % 219.19/219.48 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 219.19/219.48 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 219.19/219.48 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Rep__Integ__induct,axiom, % 219.19/219.48 ! [V_P_2,V_y_2] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 219.19/219.48 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x))) % 219.19/219.48 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Rep__Integ__cases,axiom, % 219.19/219.48 ! [V_y_2] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 219.19/219.48 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__def_H,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 <=> ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) ) % 219.19/219.48 & ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Abs__Integ__induct,axiom, % 219.19/219.48 ! [V_x_2,V_P_2] : % 219.19/219.48 ( ! [B_y] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 219.19/219.48 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 219.19/219.48 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Abs__Integ__cases,axiom, % 219.19/219.48 ! [V_x_2] : % 219.19/219.48 ~ ! [B_y] : % 219.19/219.48 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 219.19/219.48 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Powp__def,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 219.19/219.48 <=> ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 219.19/219.48 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_INFI__bool__eq,axiom, % 219.19/219.48 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 219.19/219.48 % 219.19/219.48 fof(fact_ball__empty,axiom, % 219.19/219.48 ! [V_P_2,T_b,B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 219.19/219.48 => hBOOL(hAPP(V_P_2,B_x)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Collect__ball__eq,axiom, % 219.19/219.48 ! [V_P_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_congruent__def,axiom, % 219.19/219.48 ! [V_f_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 219.19/219.48 <=> ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_INTER__def,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Inf__Sup,axiom, % 219.19/219.48 ! [V_A_2,T_b] : % 219.19/219.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.48 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sup__Inf,axiom, % 219.19/219.48 ! [V_A_2,T_b] : % 219.19/219.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.48 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfP__SUP,axiom, % 219.19/219.48 ! [T_b,V_r_2,T_c] : % 219.19/219.48 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 219.19/219.48 => ( ! [B_i,B_j] : % 219.19/219.48 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 219.19/219.48 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) % 219.19/219.48 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_mem__splitE,axiom, % 219.19/219.48 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2))) % 219.19/219.48 => ~ ! [B_x,B_y] : % 219.19/219.48 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 219.19/219.48 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_mem__splitI2,axiom, % 219.19/219.48 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 219.19/219.48 ( ! [B_a,B_b] : % 219.19/219.48 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Inter__eq,axiom, % 219.19/219.48 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Eps__split,axiom, % 219.19/219.48 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wfI__pf,axiom, % 219.19/219.48 ! [V_R_2,T_b] : % 219.19/219.48 ( ! [B_A] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A))) % 219.19/219.48 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 219.19/219.48 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Sigma__mono,axiom, % 219.19/219.48 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) ) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_some__sym__eq__trivial,axiom, % 219.19/219.48 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_some__eq__trivial,axiom, % 219.19/219.48 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_some__eq__ex,axiom, % 219.19/219.48 ! [T_b,V_P_2] : % 219.19/219.48 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) % 219.19/219.48 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_someI__ex,axiom, % 219.19/219.48 ! [T_b,V_P_2] : % 219.19/219.48 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 219.19/219.48 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_someI,axiom, % 219.19/219.48 ! [T_b,V_x_2,V_P_2] : % 219.19/219.48 ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.19/219.48 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_tfl__some,axiom, % 219.19/219.48 ! [T_b,B_P] : % 219.19/219.48 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 219.19/219.48 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_exE__some,axiom, % 219.19/219.48 ! [T_b,V_c_2,V_P_2] : % 219.19/219.48 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) % 219.19/219.48 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2) % 219.19/219.48 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_split__paired__Eps,axiom, % 219.19/219.48 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Eps__split__eq,axiom, % 219.19/219.48 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acc_OaccI,axiom, % 219.19/219.48 ! [V_r_2,V_x_2,T_b] : % 219.19/219.48 ( ! [B_y] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_not__acc__down,axiom, % 219.19/219.48 ! [V_R_2,V_x_2,T_b] : % 219.19/219.48 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 219.19/219.48 => ~ ! [B_z] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_max__ext_Osimps,axiom, % 219.19/219.48 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) % 219.19/219.48 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 219.19/219.48 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 219.19/219.48 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.48 & ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 219.19/219.48 => ? [B_xa] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 219.19/219.48 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__no__infinite__down__chainE,axiom, % 219.19/219.48 ! [V_f_2,V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setsum__reindex__cong,axiom, % 219.19/219.48 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 219.19/219.48 ( class_Groups_Ocomm__monoid__add(T_d) % 219.19/219.48 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 219.19/219.48 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 219.19/219.48 => ( ! [B_a] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 219.19/219.48 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_scomp__unfold,axiom, % 219.19/219.48 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_scomp__Pair,axiom, % 219.19/219.48 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_Pair__scomp,axiom, % 219.19/219.48 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_scomp__scomp,axiom, % 219.19/219.48 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_scomp__apply,axiom, % 219.19/219.48 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_scomp__def,axiom, % 219.19/219.48 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_iterate_Osimps,axiom, % 219.19/219.48 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 219.19/219.48 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.19/219.48 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) ) % 219.19/219.48 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.19/219.48 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_setsum__ivl__cong,axiom, % 219.19/219.48 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 219.19/219.48 ( ( class_Groups_Ocomm__monoid__add(T_c) % 219.19/219.48 & class_Orderings_Oord(T_b) ) % 219.19/219.48 => ( V_a_2 = V_c_2 % 219.19/219.48 => ( V_b_2 = V_d_2 % 219.19/219.48 => ( ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 219.19/219.48 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 219.19/219.48 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_log_Osimps,axiom, % 219.19/219.48 ! [V_i,V_b] : % 219.19/219.48 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) % 219.19/219.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 219.19/219.48 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 219.19/219.48 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) % 219.19/219.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 219.19/219.48 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_minus__shift__def,axiom, % 219.19/219.48 ! [V_r,V_l,V_k] : % 219.19/219.48 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 219.19/219.48 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) ) % 219.19/219.48 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 219.19/219.48 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_inc__shift__def,axiom, % 219.19/219.48 ! [V_k,V_v] : % 219.19/219.48 ( ( V_v = V_k % 219.19/219.48 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 219.19/219.48 & ( V_v != V_k % 219.19/219.48 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_range,axiom, % 219.19/219.48 ! [V_s,V_k] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_k)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(V_k),V_s))),V_k)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_less__eq,axiom, % 219.19/219.48 ! [V_n_2,V_m_2] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_nat__intermed__int__val,axiom, % 219.19/219.48 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 219.19/219.48 ( ! [B_i] : % 219.19/219.48 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 219.19/219.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 219.19/219.48 => ? [B_i] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 219.19/219.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 219.19/219.48 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__trancl,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_less__than__def,axiom, % 219.19/219.48 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acyclic__def,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 219.19/219.48 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl_Or__into__trancl,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__subset__Field2,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_r__into__trancl_H,axiom, % 219.19/219.48 ! [V_r_2,V_p_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__empty,axiom, % 219.19/219.48 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__domain,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__range,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__trancl,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__trans,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__into__trancl2,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_r__r__into__trancl,axiom, % 219.19/219.48 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__mono,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,V_p_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__unfold,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__subset__Sigma,axiom, % 219.19/219.48 ! [V_A_2,V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__Int__subset,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__insert,axiom, % 219.19/219.48 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_reflcl__set__eq,axiom, % 219.19/219.48 ! [V_y_2,V_x_2,V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2)) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_r__into__rtrancl,axiom, % 219.19/219.48 ! [V_r_2,V_p_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl_Ortrancl__refl,axiom, % 219.19/219.48 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_IdI,axiom, % 219.19/219.48 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__into__rtrancl,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__trancl__absorb,axiom, % 219.19/219.48 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__rtrancl__absorb,axiom, % 219.19/219.48 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_reflcl__trancl,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__reflcl,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__unfold__left,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__unfold__right,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Image__closed__trancl,axiom, % 219.19/219.48 ! [V_X_2,V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2)) % 219.19/219.48 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__Un__subset,axiom, % 219.19/219.48 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__mono,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__subset,axiom, % 219.19/219.48 ! [V_S_2,V_R_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.48 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__subset__rtrancl,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__Int__subset,axiom, % 219.19/219.48 ! [V_r_2,V_s_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__rtrancl,axiom, % 219.19/219.48 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__rtrancl,axiom, % 219.19/219.48 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__empty,axiom, % 219.19/219.48 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__unfold,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_in__rtrancl__UnI,axiom, % 219.19/219.48 ! [V_S_2,V_R_2,V_x_2,T_b] : % 219.19/219.48 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.48 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__idemp__self__comp,axiom, % 219.19/219.48 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_r__comp__rtrancl__eq,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__reflcl,axiom, % 219.19/219.48 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__Un__rtrancl,axiom, % 219.19/219.48 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__reflcl__absorb,axiom, % 219.19/219.48 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__idemp,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__trans,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__r__diff__Id,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__rtrancl,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Image__Id,axiom, % 219.19/219.48 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_R__O__Id,axiom, % 219.19/219.48 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_Id__O__R,axiom, % 219.19/219.48 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_pair__in__Id__conv,axiom, % 219.19/219.48 ! [V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b))) % 219.19/219.48 <=> V_a_2 = V_b_2 ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__trancl__trancl,axiom, % 219.19/219.48 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__rtrancl__trancl,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__into__trancl1,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtranclD,axiom, % 219.19/219.48 ! [V_R_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.48 => ( V_a_2 = V_b_2 % 219.19/219.48 | ( V_a_2 != V_b_2 % 219.19/219.48 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__into__trancl2,axiom, % 219.19/219.48 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__eq__or__trancl,axiom, % 219.19/219.48 ! [V_R_2,V_y_2,V_x_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.48 <=> ( V_x_2 = V_y_2 % 219.19/219.48 | ( V_x_2 != V_y_2 % 219.19/219.48 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__Id,axiom, % 219.19/219.48 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__Id,axiom, % 219.19/219.48 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__Id,axiom, % 219.19/219.48 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_pair__leq__def,axiom, % 219.19/219.48 c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Not__Domain__rtrancl,axiom, % 219.19/219.48 ! [V_y_2,V_R_2,V_x_2,T_b] : % 219.19/219.48 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.48 <=> V_x_2 = V_y_2 ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acc__downwards,axiom, % 219.19/219.48 ! [V_b_2,V_r_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acc__downwards__aux,axiom, % 219.19/219.48 ! [V_r_2,V_a_2,V_b_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__insert,axiom, % 219.19/219.48 ! [V_r_2,V_x_2,V_y_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 219.19/219.48 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.48 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acyclic__insert,axiom, % 219.19/219.48 ! [V_r_2,V_x_2,V_y_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) % 219.19/219.48 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 219.19/219.48 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__reflcl,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Id__def,axiom, % 219.19/219.48 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_irrefl__diff__Id,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_pred__nat__trancl__eq__le,axiom, % 219.19/219.48 ! [V_n_2,V_m_2] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__subset__Sigma__aux,axiom, % 219.19/219.48 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 219.19/219.48 => ( V_a_2 = V_b_2 % 219.19/219.48 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_irrefl__tranclI,axiom, % 219.19/219.48 ! [V_x_2,V_r_2,T_b] : % 219.19/219.48 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 219.19/219.48 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_sequence__trans,axiom, % 219.19/219.48 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 219.19/219.48 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__converse,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__Id,axiom, % 219.19/219.48 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acyclic__converse,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 219.19/219.48 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__UNION,axiom, % 219.19/219.48 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converseD,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converseI,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__iff,axiom, % 219.19/219.48 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__rel__comp,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__Un,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__Id__on,axiom, % 219.19/219.48 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__inv__image,axiom, % 219.19/219.48 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__converse,axiom, % 219.19/219.48 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__Int,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__converse,axiom, % 219.19/219.48 ! [V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 219.19/219.48 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Field__converse,axiom, % 219.19/219.48 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__converse,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 219.19/219.48 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__INTER,axiom, % 219.19/219.48 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__converse,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__converse__trancl,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 219.19/219.48 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_equiv__comp__eq,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 219.19/219.48 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__def,axiom, % 219.19/219.48 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Domain__converse,axiom, % 219.19/219.48 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Range__converse,axiom, % 219.19/219.48 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__converseI,axiom, % 219.19/219.48 ! [V_r_2,V_x_2,V_y_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__converseD,axiom, % 219.19/219.48 ! [V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__converseI,axiom, % 219.19/219.48 ! [V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_trancl__converseD,axiom, % 219.19/219.48 ! [V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Image__subset__eq,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2)) % 219.19/219.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_refl__on__comp__subset,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_comp__equivI,axiom, % 219.19/219.48 ! [V_A_2,V_r_2,T_b] : % 219.19/219.48 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 % 219.19/219.48 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 219.19/219.48 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_finite__acyclic__wf__converse,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 219.19/219.48 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 219.19/219.48 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_converse__def,axiom, % 219.19/219.48 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Image__INT__eq,axiom, % 219.19/219.48 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 219.19/219.48 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 219.19/219.48 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_total__on__diff__Id,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 219.19/219.48 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valued__Id,axiom, % 219.19/219.48 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valued__rel__comp,axiom, % 219.19/219.48 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 219.19/219.48 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 219.19/219.48 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 219.19/219.48 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valued__subset,axiom, % 219.19/219.48 ! [V_s_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.48 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 219.19/219.48 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valued__Id__on,axiom, % 219.19/219.48 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_total__on__empty,axiom, % 219.19/219.48 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_total__on__converse,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 219.19/219.48 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valued__def,axiom, % 219.19/219.48 ! [V_r_2,T_c,T_b] : % 219.19/219.48 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 219.19/219.48 <=> ! [B_x,B_y] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2)) % 219.19/219.48 => ! [B_z] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2)) % 219.19/219.48 => B_y = B_z ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valuedD,axiom, % 219.19/219.48 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 219.19/219.48 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2)) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2)) % 219.19/219.48 => V_y_2 = V_z_2 ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_total__on__def,axiom, % 219.19/219.48 ! [V_r_2,V_A_2,T_b] : % 219.19/219.48 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 219.19/219.48 <=> ! [B_x] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.48 => ! [B_xa] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 219.19/219.48 => ( B_x != B_xa % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2)) % 219.19/219.48 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valued__confluent,axiom, % 219.19/219.48 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 219.19/219.48 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.48 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_Image__Int__eq,axiom, % 219.19/219.48 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 219.19/219.48 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 219.19/219.48 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 219.19/219.48 ! [V_R_2,V_p_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_acyclicI,axiom, % 219.19/219.48 ! [V_r_2,T_b] : % 219.19/219.48 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 219.19/219.48 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_single__valued__rel__pow,axiom, % 219.19/219.48 ! [V_n_2,V_R_2,T_b] : % 219.19/219.48 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 219.19/219.48 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_wf__exp,axiom, % 219.19/219.48 ! [V_R_2,V_n_2,T_b] : % 219.19/219.48 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) % 219.19/219.48 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_funpow__mult,axiom, % 219.19/219.48 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_funpow__swap1,axiom, % 219.19/219.48 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_comp__funpow,axiom, % 219.19/219.48 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rel__pow__1,axiom, % 219.19/219.48 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ). % 219.19/219.48 % 219.19/219.48 fof(fact_rel__pow__commute,axiom, % 219.19/219.48 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rel__pow__imp__rtrancl,axiom, % 219.19/219.48 ! [V_R_2,V_n_2,V_p_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 219.19/219.48 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 219.19/219.48 % 219.19/219.48 fof(fact_rtrancl__power,axiom, % 219.19/219.48 ! [V_R_2,V_p_2,T_b] : % 219.19/219.48 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.48 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ). % 219.19/219.48 % 219.19/219.49 fof(fact_relpow_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__add,axiom, % 219.19/219.49 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_relpow_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__0__I,axiom, % 219.19/219.49 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__0__E,axiom, % 219.19/219.49 ! [V_R_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) % 219.19/219.49 => V_x_2 = V_y_2 ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__Suc__I,axiom, % 219.19/219.49 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__Suc__I2,axiom, % 219.19/219.49 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_funpow_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_funpow__add,axiom, % 219.19/219.49 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_funpow_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ). % 219.19/219.49 % 219.19/219.49 fof(fact_trancl__power,axiom, % 219.19/219.49 ! [V_R_2,V_p_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 219.19/219.49 <=> ? [B_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 219.19/219.49 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_funpow__code__def,axiom, % 219.19/219.49 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__E,axiom, % 219.19/219.49 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 219.19/219.49 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => V_x_2 != V_z_2 ) % 219.19/219.49 => ~ ! [B_y,B_m] : % 219.19/219.49 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__E2,axiom, % 219.19/219.49 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 219.19/219.49 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => V_x_2 != V_z_2 ) % 219.19/219.49 => ~ ! [B_y,B_m] : % 219.19/219.49 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rtrancl__Un__separator__converseE,axiom, % 219.19/219.49 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) % 219.19/219.49 => ! [B_y] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2)) % 219.19/219.49 => B_y = B_x ) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rtrancl__Un__separatorE,axiom, % 219.19/219.49 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2)))) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) % 219.19/219.49 => ! [B_y] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2)) % 219.19/219.49 => B_x = B_y ) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__Suc__E,axiom, % 219.19/219.49 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 219.19/219.49 => ~ ! [B_y] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__Suc__D2,axiom, % 219.19/219.49 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 219.19/219.49 => ? [B_y] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__pow__Suc__E2,axiom, % 219.19/219.49 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) % 219.19/219.49 => ~ ! [B_y] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2)) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tranclD2,axiom, % 219.19/219.49 ! [V_R_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 219.19/219.49 => ? [B_z] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tranclD,axiom, % 219.19/219.49 ! [V_R_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 219.19/219.49 => ? [B_z] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2)) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_IdE,axiom, % 219.19/219.49 ! [V_p_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 219.19/219.49 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding_Oeq__fold,axiom, % 219.19/219.49 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold__image__def,axiom, % 219.19/219.49 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold__empty,axiom, % 219.19/219.49 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold__def,axiom, % 219.19/219.49 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_union__fold__insert,axiom, % 219.19/219.49 ! [V_B_2,V_A_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold__sup__insert,axiom, % 219.19/219.49 ! [V_a_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Osemilattice__sup(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold__inf__insert,axiom, % 219.19/219.49 ! [V_a_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Osemilattice__inf(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_Ofold__inf__insert,axiom, % 219.19/219.49 ! [V_a_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_Ofold__sup__insert,axiom, % 219.19/219.49 ! [V_a_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sup__Sup__fold__sup,axiom, % 219.19/219.49 ! [V_B_2,V_A_2,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_inf__Inf__fold__inf,axiom, % 219.19/219.49 ! [V_B_2,V_A_2,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 219.19/219.49 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 219.19/219.49 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sup__SUPR__fold__sup,axiom, % 219.19/219.49 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_inf__INFI__fold__inf,axiom, % 219.19/219.49 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sup__le__fold__sup,axiom, % 219.19/219.49 ! [V_b_2,V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Osemilattice__sup(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold__inf__le__inf,axiom, % 219.19/219.49 ! [V_b_2,V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Osemilattice__inf(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 219.19/219.49 ! [V_b_2,V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_Osup__le__fold__sup,axiom, % 219.19/219.49 ! [V_b_2,V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Sup__fold__sup,axiom, % 219.19/219.49 ! [V_A_2,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Inf__fold__inf,axiom, % 219.19/219.49 ! [V_A_2,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold1__eq__fold__idem,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Olattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Olattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Min_Oeq__fold__idem_H,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Max_Oeq__fold__idem_H,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_minus__fold__remove,axiom, % 219.19/219.49 ! [V_B_2,V_A_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding__one_Oeq__fold_H,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_SUPR__fold__sup,axiom, % 219.19/219.49 ! [V_f_2,V_A_2,T_b,T_c] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_INFI__fold__inf,axiom, % 219.19/219.49 ! [V_f_2,V_A_2,T_b,T_c] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold1__eq__fold,axiom, % 219.19/219.49 ! [V_a_2,V_A_2,T_b] : % 219.19/219.49 ( class_Groups_Oab__semigroup__mult(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.49 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Olattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Olattice(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Min_Oeq__fold_H,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Max_Oeq__fold_H,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__rec,axiom, % 219.19/219.49 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 219.19/219.49 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 219.19/219.49 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 219.19/219.49 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm,axiom, % 219.19/219.49 ! [T_b] : % 219.19/219.49 ( class_Groups_Oab__semigroup__mult(T_b) % 219.19/219.49 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 219.19/219.49 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 219.19/219.49 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 219.19/219.49 => V_y_2 = V_x_2 ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 219.19/219.49 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__equality,axiom, % 219.19/219.49 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 219.19/219.49 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 219.19/219.49 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__insert,axiom, % 219.19/219.49 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 219.19/219.49 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.19/219.49 => ? [B_y_H] : % 219.19/219.49 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 219.19/219.49 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 219.19/219.49 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => ~ ! [B_y] : % 219.19/219.49 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 219.19/219.49 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 219.19/219.49 ! [V_c_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 219.19/219.49 ! [V_c_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_inf__le__fold__inf,axiom, % 219.19/219.49 ! [V_c_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Osemilattice__inf(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold__sup__le__sup,axiom, % 219.19/219.49 ! [V_c_2,V_b_2,V_A_2,T_b] : % 219.19/219.49 ( class_Lattices_Osemilattice__sup(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_mod__div__decomp,axiom, % 219.19/219.49 ! [V_b,V_a,T_a] : % 219.19/219.49 ( class_Divides_Osemiring__div(T_a) % 219.19/219.49 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_wf__eq__minimal,axiom, % 219.19/219.49 ! [V_r_2,T_b] : % 219.19/219.49 ( c_Wellfounded_Owf(T_b,V_r_2) % 219.19/219.49 <=> ! [B_Q] : % 219.19/219.49 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 219.19/219.49 => ? [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 219.19/219.49 & ! [B_y] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 219.19/219.49 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 219.19/219.49 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_transfer__nat__int__set__cong,axiom, % 219.19/219.49 ! [V_P_H_2,V_P_2] : % 219.19/219.49 ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 219.19/219.49 => ( hBOOL(hAPP(V_P_2,B_x)) % 219.19/219.49 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 219.19/219.49 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding__image__simple__idem_Oidem,axiom, % 219.19/219.49 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 219.19/219.49 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 219.19/219.49 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 219.19/219.49 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 219.19/219.49 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 219.19/219.49 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Int__Collect__mono,axiom, % 219.19/219.49 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(V_P_2,B_x)) % 219.19/219.49 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_converseE,axiom, % 219.19/219.49 ! [V_r_2,V_yx_2,T_c,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 219.19/219.49 => ~ ! [B_x,B_y] : % 219.19/219.49 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rel__compE,axiom, % 219.19/219.49 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2))) % 219.19/219.49 => ~ ! [B_x,B_y,B_z] : % 219.19/219.49 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2)) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Oplus__frac__def,axiom, % 219.19/219.49 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Otimes__frac__def,axiom, % 219.19/219.49 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Oof__frac__def,axiom, % 219.19/219.49 ! [V_q,T_a,T_b] : % 219.19/219.49 ( ( class_Rings_Oinverse(T_b) % 219.19/219.49 & class_Rings_Oring__1(T_b) ) % 219.19/219.49 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 219.19/219.49 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 219.19/219.49 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Oless__frac__def,axiom, % 219.19/219.49 ! [V_r_2,V_q_2,T_b] : % 219.19/219.49 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 219.19/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 219.19/219.49 ! [V_r_2,V_q_2,T_b] : % 219.19/219.49 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 219.19/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Onum__def,axiom, % 219.19/219.49 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Odenom__def,axiom, % 219.19/219.49 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_setprod__pos,axiom, % 219.19/219.49 ! [V_f_2,V_A_2,T_b,T_c] : % 219.19/219.49 ( class_Rings_Olinordered__semidom(T_c) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_internal__split__def,axiom, % 219.19/219.49 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ). % 219.19/219.49 % 219.19/219.49 fof(fact_internal__split__conv,axiom, % 219.19/219.49 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_setprod__nonneg,axiom, % 219.19/219.49 ! [V_f_2,V_A_2,T_b,T_c] : % 219.19/219.49 ( class_Rings_Olinordered__semidom(T_c) % 219.19/219.49 => ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_bool_Osize_I2_J,axiom, % 219.19/219.49 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.19/219.49 % 219.19/219.49 fof(fact_bool_Osize_I1_J,axiom, % 219.19/219.49 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.19/219.49 % 219.19/219.49 fof(fact_finite__less__ub,axiom, % 219.19/219.49 ! [V_u_2,V_f_2] : % 219.19/219.49 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 219.19/219.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_f_2)),V_u_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lenlex__def,axiom, % 219.19/219.49 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexn__length,axiom, % 219.19/219.49 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2))) % 219.19/219.49 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 219.19/219.49 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_neq__if__length__neq,axiom, % 219.19/219.49 ! [V_ys,V_xs,T_a] : % 219.19/219.49 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) % 219.19/219.49 => V_xs != V_ys ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lenlex__conv,axiom, % 219.19/219.49 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__sublists,axiom, % 219.19/219.49 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__sublist,axiom, % 219.19/219.49 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexn_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__lex,axiom, % 219.19/219.49 ! [V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2))) % 219.19/219.49 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 219.19/219.49 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__cons__cons,axiom, % 219.19/219.49 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) % 219.19/219.49 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.19/219.49 | ( V_a_2 = V_b_2 % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_impossible__Cons,axiom, % 219.19/219.49 ! [V_x,V_ys,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys))) % 219.19/219.49 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Oinject,axiom, % 219.19/219.49 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2) % 219.19/219.49 <=> ( V_a_2 = V_a_H_2 % 219.19/219.49 & V_list_2 = V_list_H_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_not__Cons__self2,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_not__Cons__self,axiom, % 219.19/219.49 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osize_I4_J,axiom, % 219.19/219.49 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Cons__in__lex,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2))) % 219.19/219.49 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 219.19/219.49 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) % 219.19/219.49 | ( V_x_2 = V_y_2 % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__Cons__def,axiom, % 219.19/219.49 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_pick_Osimps,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a,V_i] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) % 219.19/219.49 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) % 219.19/219.49 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_select__weight__cons__zero,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Cons__acc__listrel1I,axiom, % 219.19/219.49 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 219.19/219.49 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1__converse,axiom, % 219.19/219.49 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1__mono,axiom, % 219.19/219.49 ! [V_s_2,V_r_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 219.19/219.49 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1I2,axiom, % 219.19/219.49 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1__eq__len,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rtrancl__listrel1__eq__len,axiom, % 219.19/219.49 ! [V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 219.19/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__listrel1__converse,axiom, % 219.19/219.49 ! [V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) % 219.19/219.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1I1,axiom, % 219.19/219.49 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Cons__listrel1__Cons,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 219.19/219.49 & V_xs_2 = V_ys_2 ) % 219.19/219.49 | ( V_x_2 = V_y_2 % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osize_I2_J,axiom, % 219.19/219.49 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__Cons,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__rtrancl__refl,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__mono,axiom, % 219.19/219.49 ! [V_s_2,V_r_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 219.19/219.49 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__eq__len,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__rtrancl__trans,axiom, % 219.19/219.49 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 219.19/219.49 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__reflcl__if__listrel1,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1__subset__listrel,axiom, % 219.19/219.49 ! [V_r_H_2,V_r_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) % 219.19/219.49 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel_OCons,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrelp__listrel__eq,axiom, % 219.19/219.49 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 219.19/219.49 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2) % 219.19/219.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__Cons2,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 => ~ ! [B_x,B_xs] : % 219.19/219.49 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2)) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrelp_OCons,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 219.19/219.49 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 219.19/219.49 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrelp_Oequations_I2_J,axiom, % 219.19/219.49 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 219.19/219.49 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2)) % 219.19/219.49 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 219.19/219.49 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__Cons1,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 => ~ ! [B_y,B_ys] : % 219.19/219.49 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2)) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__subset,axiom, % 219.19/219.49 ! [V_A_2,V_r_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists__UNIV,axiom, % 219.19/219.49 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists__mono,axiom, % 219.19/219.49 ! [V_B_2,V_A_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_equiv__listrel,axiom, % 219.19/219.49 ! [V_r_2,V_A_2,T_b] : % 219.19/219.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 219.19/219.49 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__refl__on,axiom, % 219.19/219.49 ! [V_r_2,V_A_2,T_b] : % 219.19/219.49 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.19/219.49 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Cons__in__lists__iff,axiom, % 219.19/219.49 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2))) % 219.19/219.49 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists__accI,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists__accD,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__iff__nth,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 219.19/219.49 & ! [B_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__irreflexive,axiom, % 219.19/219.49 ! [V_y_2,V_r_2,T_b] : % 219.19/219.49 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__Cons__0,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__Cons__Suc,axiom, % 219.19/219.49 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__eq__iff__nth__eq,axiom, % 219.19/219.49 ! [T_b,V_ys_2,V_xs_2] : % 219.19/219.49 ( V_xs_2 = V_ys_2 % 219.19/219.49 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 219.19/219.49 & ! [B_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_infinite__UNIV__listI,axiom, % 219.19/219.49 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth_Osimps,axiom, % 219.19/219.49 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__Cons_H,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a,V_n] : % 219.19/219.49 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 219.19/219.49 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__Cons__number__of,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a,V_v] : % 219.19/219.49 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x ) % 219.19/219.49 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__take__index__conv,axiom, % 219.19/219.49 ! [V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 219.19/219.49 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))) % 219.19/219.49 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 ) % 219.19/219.49 | ? [B_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))) % 219.19/219.49 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__linear,axiom, % 219.19/219.49 ! [V_y_2,V_x_2,V_r_2,T_b] : % 219.19/219.49 ( ! [B_a,B_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2)) % 219.19/219.49 | B_a = B_b % 219.19/219.49 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) ) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 219.19/219.49 | V_x_2 = V_y_2 % 219.19/219.49 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__all,axiom, % 219.19/219.49 ! [V_n,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__take,axiom, % 219.19/219.49 ! [V_xs,T_a,V_n,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublist__upt__eq__take,axiom, % 219.19/219.49 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__take,axiom, % 219.19/219.49 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__take,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__Suc__Cons,axiom, % 219.19/219.49 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_finite__lists__length__le,axiom, % 219.19/219.49 ! [V_n_2,V_A_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__sublist,axiom, % 219.19/219.49 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_finite__set,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__take__subset,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__takeD,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_List_Oset_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__ConsD,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) % 219.19/219.49 => ( V_y_2 = V_x_2 % 219.19/219.49 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_notin__set__sublistI,axiom, % 219.19/219.49 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__sublistD,axiom, % 219.19/219.49 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublists__powset,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__subset__Cons,axiom, % 219.19/219.49 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__sublist__subset,axiom, % 219.19/219.49 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_card__length,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_all__set__conv__all__nth,axiom, % 219.19/219.49 ! [V_P_2,V_xs_2,T_b] : % 219.19/219.49 ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.19/219.49 <=> ! [B_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__take__subset__set__take,axiom, % 219.19/219.49 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__size__estimation,axiom, % 219.19/219.49 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__size__estimation_H,axiom, % 219.19/219.49 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__lists__conv__set,axiom, % 219.19/219.49 ! [V_A_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 219.19/219.49 <=> ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__pos__if__in__set,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__conv__nth,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 <=> ? [B_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__mem,axiom, % 219.19/219.49 ! [V_xs_2,T_b,V_n_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists__eq__set,axiom, % 219.19/219.49 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__conv__nth,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_finite__lists__length__eq,axiom, % 219.19/219.49 ! [V_n_2,V_A_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__iff__zip,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 219.19/219.49 & ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__n__lists,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__zip,axiom, % 219.19/219.49 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__zip,axiom, % 219.19/219.49 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__Cons__Cons,axiom, % 219.19/219.49 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__eq__iff__zip__eq,axiom, % 219.19/219.49 ! [T_b,V_ys_2,V_xs_2] : % 219.19/219.49 ( V_xs_2 = V_ys_2 % 219.19/219.49 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) % 219.19/219.49 & ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__same,axiom, % 219.19/219.49 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2)))) % 219.19/219.49 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 & V_a_2 = V_b_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__zip__leftD,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__zip__rightD,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__zipE,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 219.19/219.49 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__zip,axiom, % 219.19/219.49 ! [V_ys,T_b,V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys))) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__n__lists__elem,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)))) % 219.19/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__n__lists,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_On__lists(T_a,V_n,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__zip,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_product__list__set,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_greaterThanLessThan__upto,axiom, % 219.19/219.49 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__upto,axiom, % 219.19/219.49 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_atLeastAtMost__upto,axiom, % 219.19/219.49 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_atLeastLessThan__upto,axiom, % 219.19/219.49 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_greaterThanAtMost__upto,axiom, % 219.19/219.49 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nat__list__def,axiom, % 219.19/219.49 ! [V_l_2] : % 219.19/219.49 ( c_List_Onat__list(V_l_2) % 219.19/219.49 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listsum__setsum__nth,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( class_Groups_Ocomm__monoid__add(T_b) % 219.19/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 219.19/219.49 ! [V_ns_2] : % 219.19/219.49 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 <=> ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 219.19/219.49 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listsum__simps_I2_J,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a] : % 219.19/219.49 ( class_Groups_Omonoid__add(T_a) % 219.19/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_elem__le__listsum__nat,axiom, % 219.19/219.49 ! [V_ns,V_k] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__size__pointwise,axiom, % 219.19/219.49 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 219.19/219.49 ( ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast__take,axiom, % 219.19/219.49 ! [V_xs,T_a,V_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__butlastD,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__butlast,axiom, % 219.19/219.49 ! [V_xs,T_a,V_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__butlast,axiom, % 219.19/219.49 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast__conv__take,axiom, % 219.19/219.49 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listsum__update__nat,axiom, % 219.19/219.49 ! [V_n,V_ns,V_k] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns))) % 219.19/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__take__lemma,axiom, % 219.19/219.49 ! [V_ys,V_xs,T_a,V_k] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys))) % 219.19/219.49 => ( ! [B_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__beyond,axiom, % 219.19/219.49 ! [V_x,V_i,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)) % 219.19/219.49 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__list__update__neq,axiom, % 219.19/219.49 ! [V_x,V_xs,T_a,V_j,V_i] : % 219.19/219.49 ( V_i != V_j % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__id,axiom, % 219.19/219.49 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__list__update,axiom, % 219.19/219.49 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__code_I2_J,axiom, % 219.19/219.49 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__code_I3_J,axiom, % 219.19/219.49 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__overwrite,axiom, % 219.19/219.49 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__swap,axiom, % 219.19/219.49 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 219.19/219.49 ( V_i != V_i_H % 219.19/219.49 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_update__zip,axiom, % 219.19/219.49 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__update,axiom, % 219.19/219.49 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__update__subsetI,axiom, % 219.19/219.49 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__update__subset__insert,axiom, % 219.19/219.49 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__list__update__eq,axiom, % 219.19/219.49 ! [V_x,V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__same__conv,axiom, % 219.19/219.49 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 219.19/219.49 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__list__update,axiom, % 219.19/219.49 ! [V_x,V_j,V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => ( ( V_i = V_j % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x ) % 219.19/219.49 & ( V_i != V_j % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__update__memI,axiom, % 219.19/219.49 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast__list__update,axiom, % 219.19/219.49 ! [V_x,V_xs,T_a,V_k] : % 219.19/219.49 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 219.19/219.49 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) ) % 219.19/219.49 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 219.19/219.49 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1__iff__update,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 <=> ? [B_y,B_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2)) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__list__update,axiom, % 219.19/219.49 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__n__lists,axiom, % 219.19/219.49 ! [V_n,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__zipI1,axiom, % 219.19/219.49 ! [V_ys,T_b,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__zipI2,axiom, % 219.19/219.49 ! [V_xs,T_b,V_ys,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__sublistI,axiom, % 219.19/219.49 ! [V_I_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__product,axiom, % 219.19/219.49 ! [V_ys,T_b,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__upto,axiom, % 219.19/219.49 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__take,axiom, % 219.19/219.49 ! [V_i,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 219.19/219.49 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_card__distinct,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__card,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__eq__iff__index__eq,axiom, % 219.19/219.49 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) % 219.19/219.49 <=> V_i_2 = V_j_2 ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__conv__nth,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 <=> ! [B_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => ! [B_j] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 => ( B_i != B_j % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__listsum__conv__Setsum,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( class_Groups_Ocomm__monoid__add(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nitpick_Ocard_H__def,axiom, % 219.19/219.49 ! [V_A_2,T_b] : % 219.19/219.49 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__remove1__eq,axiom, % 219.19/219.49 ! [V_x_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__remove1,axiom, % 219.19/219.49 ! [V_x,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_remove1_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_xs,T_a,V_y,V_x] : % 219.19/219.49 ( ( V_x = V_y % 219.19/219.49 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 219.19/219.49 & ( V_x != V_y % 219.19/219.49 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Oremove1(T_a,V_x,V_xs)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_remove1__commute,axiom, % 219.19/219.49 ! [V_zs,V_y,V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Oremove1(T_a,V_y,V_zs)) = c_List_Oremove1(T_a,V_y,c_List_Oremove1(T_a,V_x,V_zs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_remove1__idem,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_notin__set__remove1,axiom, % 219.19/219.49 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__remove1,axiom, % 219.19/219.49 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 219.19/219.49 ( V_a_2 != V_b_2 % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2)))) % 219.19/219.49 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__remove1__subset,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__remove1,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sorted__list__of__set__remove,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__Cons__number__of,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a,V_v] : % 219.19/219.49 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 219.19/219.49 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists_ONil,axiom, % 219.19/219.49 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__Nil2,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__Nil1,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2))) % 219.19/219.49 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct_Osimps_I1_J,axiom, % 219.19/219.49 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__butlast,axiom, % 219.19/219.49 ! [T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_remove1_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__Nil,axiom, % 219.19/219.49 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sorted__list__of__set__empty,axiom, % 219.19/219.49 ! [T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublist__nil,axiom, % 219.19/219.49 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrelp_Oequations_I1_J,axiom, % 219.19/219.49 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrelp_ONil,axiom, % 219.19/219.49 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osize_I1_J,axiom, % 219.19/219.49 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.19/219.49 % 219.19/219.49 fof(fact_upto__empty,axiom, % 219.19/219.49 ! [V_i,V_j] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 219.19/219.49 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_product_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_uu,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,c_List_Olist_ONil(T_a),V_uu) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osimps_I3_J,axiom, % 219.19/219.49 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublists_Osimps_I1_J,axiom, % 219.19/219.49 ! [T_a] : c_Enum_Osublists(T_a,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__0,axiom, % 219.19/219.49 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__eq__Nil,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 219.19/219.49 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__Nil,axiom, % 219.19/219.49 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_n__lists__Nil,axiom, % 219.19/219.49 ! [T_a,V_n] : % 219.19/219.49 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ) % 219.19/219.49 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_n__lists_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_xs,T_a] : c_Enum_On__lists(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xs) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__empty,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__empty2,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_List_Oset_Osimps_I1_J,axiom, % 219.19/219.49 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_x,T_a,V_xs] : % 219.19/219.49 ( ( V_xs = c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 219.19/219.49 & ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Obutlast(T_a,V_xs)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__0__conv,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osize_I3_J,axiom, % 219.19/219.49 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast_Osimps_I1_J,axiom, % 219.19/219.49 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listsum__simps_I1_J,axiom, % 219.19/219.49 ! [T_a] : % 219.19/219.49 ( class_Groups_Omonoid__add(T_a) % 219.19/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__code_I1_J,axiom, % 219.19/219.49 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__nonempty,axiom, % 219.19/219.49 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublist__empty,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__greater__0__conv,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.19/219.49 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__1__Cons,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_not__Nil__listrel1,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_not__listrel1__Nil,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel_ONil,axiom, % 219.19/219.49 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__Nil__right,axiom, % 219.19/219.49 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nil2__notin__lex,axiom, % 219.19/219.49 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nil__notin__lex,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__Cons,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_upto_Osimps,axiom, % 219.19/219.49 ! [V_j,V_i] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 219.19/219.49 => c_List_Oupto(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j)) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 219.19/219.49 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublist__singleton,axiom, % 219.19/219.49 ! [V_x_2,T_b,V_A_2] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 219.19/219.49 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 219.19/219.49 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists__empty,axiom, % 219.19/219.49 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__Cons_H,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a,V_n] : % 219.19/219.49 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 219.19/219.49 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_upto__rec__number__of,axiom, % 219.19/219.49 ! [V_n,V_m] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) % 219.19/219.49 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) % 219.19/219.49 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel__Nil,axiom, % 219.19/219.49 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__Cons__sing__Nil,axiom, % 219.19/219.49 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_upto_Opsimps,axiom, % 219.19/219.49 ! [V_j_2,V_i_2] : % 219.19/219.49 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_i_2),V_j_2))) % 219.19/219.49 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 219.19/219.49 => c_List_Oupto(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i_2),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 219.19/219.49 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_select,axiom, % 219.19/219.49 ! [V_s_2,T_b,V_xs_2] : % 219.19/219.49 ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listset_Osimps_I1_J,axiom, % 219.19/219.49 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__Cons,axiom, % 219.19/219.49 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osimps_I5_J,axiom, % 219.19/219.49 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list_Osimps_I4_J,axiom, % 219.19/219.49 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ). % 219.19/219.49 % 219.19/219.49 fof(fact_listset_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__Cons1,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_upto_Opinduct,axiom, % 219.19/219.49 ! [V_P_2,V_a1_2,V_a0_2] : % 219.19/219.49 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 219.19/219.49 => ( ! [B_i,B_j] : % 219.19/219.49 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j))) % 219.19/219.49 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 219.19/219.49 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_anamorph_Osimps,axiom, % 219.19/219.49 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 219.19/219.49 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.19/219.49 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) ) % 219.19/219.49 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.19/219.49 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublist__Cons,axiom, % 219.19/219.49 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_snoc__listrel1__snoc__iff,axiom, % 219.19/219.49 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 & V_x_2 = V_y_2 ) % 219.19/219.49 | ( V_xs_2 = V_ys_2 % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__eq__Cons__conv,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 219.19/219.49 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 219.19/219.49 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 219.19/219.49 | ? [B_ys_H] : % 219.19/219.49 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 219.19/219.49 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Cons__eq__append__conv,axiom, % 219.19/219.49 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) % 219.19/219.49 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 219.19/219.49 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 219.19/219.49 | ? [B_ys_H] : % 219.19/219.49 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 219.19/219.49 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append1__eq__conv,axiom, % 219.19/219.49 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) % 219.19/219.49 <=> ( V_xs_2 = V_ys_2 % 219.19/219.49 & V_x_2 = V_y_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__Cons,axiom, % 219.19/219.49 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Cons__eq__appendI,axiom, % 219.19/219.49 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 219.19/219.49 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 219.19/219.49 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 219.19/219.49 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__in__lists__conv,axiom, % 219.19/219.49 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2))) % 219.19/219.49 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__eq__appendI,axiom, % 219.19/219.49 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 219.19/219.49 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 219.19/219.49 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__same__eq,axiom, % 219.19/219.49 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2) % 219.19/219.49 <=> V_ys_2 = V_zs_2 ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_same__append__eq,axiom, % 219.19/219.49 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2) % 219.19/219.49 <=> V_ys_2 = V_zs_2 ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__eq__append__conv2,axiom, % 219.19/219.49 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_tsa_2) % 219.19/219.49 <=> ? [B_us] : % 219.19/219.49 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 219.19/219.49 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 ) % 219.19/219.49 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 219.19/219.49 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__assoc,axiom, % 219.19/219.49 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__append,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__append,axiom, % 219.19/219.49 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 219.19/219.49 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us) % 219.19/219.49 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs) % 219.19/219.49 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__append,axiom, % 219.19/219.49 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listsum__append,axiom, % 219.19/219.49 ! [V_ys,V_xs,T_a] : % 219.19/219.49 ( class_Groups_Omonoid__add(T_a) % 219.19/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast__append,axiom, % 219.19/219.49 ! [V_xs,T_a,V_ys] : % 219.19/219.49 ( ( V_ys = c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 219.19/219.49 & ( V_ys != c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__Nil,axiom, % 219.19/219.49 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 219.19/219.49 % 219.19/219.49 fof(fact_Nil__is__append__conv,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 219.19/219.49 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 219.19/219.49 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__Nil2,axiom, % 219.19/219.49 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_self__append__conv,axiom, % 219.19/219.49 ! [V_ys_2,T_b,V_xs_2] : % 219.19/219.49 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 219.19/219.49 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_self__append__conv2,axiom, % 219.19/219.49 ! [V_xs_2,T_b,V_ys_2] : % 219.19/219.49 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__is__Nil__conv,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 219.19/219.49 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 219.19/219.49 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__self__conv,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 219.19/219.49 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__self__conv2,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_eq__Nil__appendI,axiom, % 219.19/219.49 ! [T_a,V_ys,V_xs] : % 219.19/219.49 ( V_xs = V_ys % 219.19/219.49 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__append__length,axiom, % 219.19/219.49 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__append__length__plus,axiom, % 219.19/219.49 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__append,axiom, % 219.19/219.49 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__append1,axiom, % 219.19/219.49 ! [V_x,V_ys,V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__length,axiom, % 219.19/219.49 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_remove1__append,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__butlast__appendI,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 219.19/219.49 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast__snoc,axiom, % 219.19/219.49 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__listrel1I,axiom, % 219.19/219.49 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 & V_us_2 = V_vs_2 ) % 219.19/219.49 | ( V_xs_2 = V_ys_2 % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__append__leftI,axiom, % 219.19/219.49 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__append,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 219.19/219.49 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 219.19/219.49 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__append,axiom, % 219.19/219.49 ! [V_ys,V_xs,T_a,V_n] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_list__update__append,axiom, % 219.19/219.49 ! [V_x,V_ys,V_xs,T_a,V_n] : % 219.19/219.49 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sublist__append,axiom, % 219.19/219.49 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1I,axiom, % 219.19/219.49 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 219.19/219.49 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2)) % 219.19/219.49 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__append__left__rightI,axiom, % 219.19/219.49 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__Suc__conv__app__nth,axiom, % 219.19/219.49 ! [V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listrel1E,axiom, % 219.19/219.49 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) % 219.19/219.49 => ~ ! [B_x,B_y] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 219.19/219.49 => ! [B_us,B_vs] : % 219.19/219.49 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 219.19/219.49 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__append__leftD,axiom, % 219.19/219.49 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) % 219.19/219.49 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate1__def,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_upd__conv__take__nth__drop,axiom, % 219.19/219.49 ! [V_a,V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__take__drop__id,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__1__Cons,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__Suc__Cons,axiom, % 219.19/219.49 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__via__drop,axiom, % 219.19/219.49 ! [V_ys,V_y,V_xs,V_n,T_a] : % 219.19/219.49 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__drop,axiom, % 219.19/219.49 ! [V_i,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct1__rotate,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 219.19/219.49 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__zip,axiom, % 219.19/219.49 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__0,axiom, % 219.19/219.49 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__drop,axiom, % 219.19/219.49 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__take,axiom, % 219.19/219.49 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__drop,axiom, % 219.19/219.49 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_in__set__dropD,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__rotate1,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__drop__subset,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__drop,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__rotate1,axiom, % 219.19/219.49 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_butlast__drop,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__butlast,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__Nil,axiom, % 219.19/219.49 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate1__is__Nil__conv,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__drop__subset__set__drop,axiom, % 219.19/219.49 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__eq__Nil,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 219.19/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__all,axiom, % 219.19/219.49 ! [V_n,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) % 219.19/219.49 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__append,axiom, % 219.19/219.49 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__eq__conv__conj,axiom, % 219.19/219.49 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 219.19/219.49 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) % 219.19/219.49 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__Cons,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__Cons_H,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a,V_n] : % 219.19/219.49 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 219.19/219.49 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__drop,axiom, % 219.19/219.49 ! [V_xs,T_a,V_i,V_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__eq__append__conv__if,axiom, % 219.19/219.49 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2) % 219.19/219.49 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 219.19/219.49 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2) % 219.19/219.49 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2))) % 219.19/219.49 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2 % 219.19/219.49 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_nth__drop_H,axiom, % 219.19/219.49 ! [V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__simps,axiom, % 219.19/219.49 ! [V_xs,V_x,T_b,T_a] : % 219.19/219.49 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 219.19/219.49 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__Cons__number__of,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a,V_v] : % 219.19/219.49 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ) % 219.19/219.49 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__add,axiom, % 219.19/219.49 ! [V_xs,T_a,V_j,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate1__length01,axiom, % 219.19/219.49 ! [V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 219.19/219.49 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__append2,axiom, % 219.19/219.49 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_zip__append1,axiom, % 219.19/219.49 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ). % 219.19/219.49 % 219.19/219.49 fof(fact_id__take__nth__drop,axiom, % 219.19/219.49 ! [V_xs,T_a,V_i] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__hd__drop,axiom, % 219.19/219.49 ! [V_xs,T_a,V_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_hd__drop__conv__nth,axiom, % 219.19/219.49 ! [V_n,T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_hd_Osimps,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ). % 219.19/219.49 % 219.19/219.49 fof(fact_hd__append2,axiom, % 219.19/219.49 ! [V_ys,T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_hd__append,axiom, % 219.19/219.49 ! [V_ys,T_a,V_xs] : % 219.19/219.49 ( ( V_xs = c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) ) % 219.19/219.49 & ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_hd__in__set,axiom, % 219.19/219.49 ! [T_b,V_xs_2] : % 219.19/219.49 ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_hd__conv__nth,axiom, % 219.19/219.49 ! [T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate1__hd__tl,axiom, % 219.19/219.49 ! [T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_hd__rotate__conv__nth,axiom, % 219.19/219.49 ! [V_n,T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__tl,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tl__drop,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tl_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__tl,axiom, % 219.19/219.49 ! [V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__rotate,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 219.19/219.49 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__add,axiom, % 219.19/219.49 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate0,axiom, % 219.19/219.49 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__rotate,axiom, % 219.19/219.49 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__rotate,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__rotate,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tl_Osimps_I1_J,axiom, % 219.19/219.49 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__is__Nil__conv,axiom, % 219.19/219.49 ! [V_xs_2,V_n_2,T_b] : % 219.19/219.49 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 219.19/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__def,axiom, % 219.19/219.49 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate1__rotate__swap,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tl__append2,axiom, % 219.19/219.49 ! [V_ys,T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__tl,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__conv__mod,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ). % 219.19/219.49 % 219.19/219.49 fof(fact_drop__Suc,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__Suc,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tl__append,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__id,axiom, % 219.19/219.49 ! [V_xs,T_a,V_n] : % 219.19/219.49 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__length01,axiom, % 219.19/219.49 ! [V_n,V_xs,T_a] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 219.19/219.49 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__tl,axiom, % 219.19/219.49 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_tl__take,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_take__Suc,axiom, % 219.19/219.49 ! [V_n,T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_rotate__drop__take,axiom, % 219.19/219.49 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fold1__set,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 219.19/219.49 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.19/219.49 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__append__rightI,axiom, % 219.19/219.49 ! [V_r_2,V_x_2,T_b,V_y_2] : % 219.19/219.49 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_foldl__Nil,axiom, % 219.19/219.49 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ). % 219.19/219.49 % 219.19/219.49 fof(fact_start__le__sum,axiom, % 219.19/219.49 ! [V_ns_2,V_n_2,V_m_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_foldl__assoc,axiom, % 219.19/219.49 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( class_Groups_Osemigroup__add(T_b) % 219.19/219.49 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_foldl__absorb0,axiom, % 219.19/219.49 ! [V_zs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Groups_Omonoid__add(T_b) % 219.19/219.49 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_foldl__Cons,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_foldl__append,axiom, % 219.19/219.49 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ). % 219.19/219.49 % 219.19/219.49 fof(fact_listsum__foldl,axiom, % 219.19/219.49 ! [T_b] : % 219.19/219.49 ( class_Groups_Omonoid__add(T_b) % 219.19/219.49 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sum__eq__0__conv,axiom, % 219.19/219.49 ! [V_ns_2,V_m_2] : % 219.19/219.49 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.19/219.49 & ! [B_x] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 219.19/219.49 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 219.19/219.49 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 219.19/219.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 219.19/219.49 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Sup__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Inf__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Sup__fin__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Lattices_Olattice(T_b) % 219.19/219.49 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Inf__fin__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Lattices_Olattice(T_b) % 219.19/219.49 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Min__fin__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_Max__fin__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_OInf__fin__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_min__max_OSup__fin__set__fold,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_SUPR__set__fold,axiom, % 219.19/219.49 ! [V_f_2,V_xs_2,T_c,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_INFI__set__fold,axiom, % 219.19/219.49 ! [V_f_2,V_xs_2,T_c,T_b] : % 219.19/219.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.19/219.49 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_elem__le__sum,axiom, % 219.19/219.49 ! [V_ns_2,V_n_2] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_sorted__list__of__set__insert,axiom, % 219.19/219.49 ! [V_x_2,V_A_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.19/219.49 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lexord__Nil__left,axiom, % 219.19/219.49 ! [V_r_2,V_y_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 219.19/219.49 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__key_Osimps_I1_J,axiom, % 219.19/219.49 ! [V_x_2,V_f_2,T_b,T_c] : % 219.19/219.49 ( class_Orderings_Olinorder(T_c) % 219.19/219.49 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__key_Osimps_I2_J,axiom, % 219.19/219.49 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 219.19/219.49 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) ) % 219.19/219.49 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 219.19/219.49 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_remove1__insort,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__left__comm,axiom, % 219.19/219.49 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__key__left__comm,axiom, % 219.19/219.49 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 219.19/219.49 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_fun__left__comm__insort,axiom, % 219.19/219.49 ! [T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__insort,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 219.19/219.49 ( class_Orderings_Olinorder(T_c) % 219.19/219.49 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_length__insort,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 219.19/219.49 ( class_Orderings_Olinorder(T_c) % 219.19/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__not__Nil,axiom, % 219.19/219.49 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 219.19/219.49 ( class_Orderings_Olinorder(T_c) % 219.19/219.49 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__insort,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 219.19/219.49 ( class_Orderings_Olinorder(T_c) % 219.19/219.49 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2))) % 219.19/219.49 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__insert__insort__key,axiom, % 219.19/219.49 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 219.19/219.49 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__insert__insort,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_distinct__insort__insert,axiom, % 219.19/219.49 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 219.19/219.49 ( class_Orderings_Olinorder(T_c) % 219.19/219.49 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.19/219.49 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__insert__triv,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.19/219.49 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_set__insort__insert,axiom, % 219.19/219.49 ! [V_xs_2,V_x_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_insort__insert__key__triv,axiom, % 219.19/219.49 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 219.19/219.49 ( class_Orderings_Olinorder(T_b) % 219.19/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)))) % 219.19/219.49 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__list__update,axiom, % 219.19/219.49 ! [V_x,V_k,T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 219.19/219.49 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__conv__nth,axiom, % 219.19/219.49 ! [T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__appendL,axiom, % 219.19/219.49 ! [V_xs,T_a,V_ys] : % 219.19/219.49 ( V_ys = c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__appendR,axiom, % 219.19/219.49 ! [V_xs,T_a,V_ys] : % 219.19/219.49 ( V_ys != c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__append,axiom, % 219.19/219.49 ! [V_xs,T_a,V_ys] : % 219.19/219.49 ( ( V_ys = c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 219.19/219.49 & ( V_ys != c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__ConsL,axiom, % 219.19/219.49 ! [V_x,T_a,V_xs] : % 219.19/219.49 ( V_xs = c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__ConsR,axiom, % 219.19/219.49 ! [V_x,T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last_Osimps,axiom, % 219.19/219.49 ! [V_x,T_a,V_xs] : % 219.19/219.49 ( ( V_xs = c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 219.19/219.49 & ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__in__set,axiom, % 219.19/219.49 ! [T_b,V_as_2] : % 219.19/219.49 ( V_as_2 != c_List_Olist_ONil(T_b) % 219.19/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__snoc,axiom, % 219.19/219.49 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ). % 219.19/219.49 % 219.19/219.49 fof(fact_last__drop,axiom, % 219.19/219.49 ! [V_xs,T_a,V_n] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.19/219.49 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_append__butlast__last__id,axiom, % 219.19/219.49 ! [T_a,V_xs] : % 219.19/219.49 ( V_xs != c_List_Olist_ONil(T_a) % 219.19/219.49 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_snoc__eq__iff__butlast,axiom, % 219.19/219.49 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 219.19/219.49 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2 % 219.19/219.49 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 219.19/219.49 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 219.19/219.49 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 219.19/219.49 % 219.19/219.49 fof(fact_lists_Osimps,axiom, % 219.19/219.49 ! [V_A_2,V_a_2,T_b] : % 219.19/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 219.19/219.49 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 219.19/219.49 | ? [B_a,B_l] : % 219.19/219.49 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 219.19/219.49 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 219.21/219.49 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_select__weigth__select,axiom, % 219.21/219.49 ! [T_b,V_xs_2] : % 219.21/219.49 ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.21/219.49 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_inj__mapI,axiom, % 219.21/219.49 ! [V_f_2,T_c,T_b] : % 219.21/219.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.49 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_last__map,axiom, % 219.21/219.49 ! [V_f_2,T_c,T_b,V_xs_2] : % 219.21/219.49 ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.21/219.49 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_inj__on__map__eq__map,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 219.21/219.49 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 219.21/219.49 <=> V_xs_2 = V_ys_2 ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__inj__on,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.49 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 219.21/219.49 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2))) % 219.21/219.49 => V_xs_2 = V_ys_2 ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_foldl__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ). % 219.21/219.49 % 219.21/219.49 fof(fact_rotate__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__tl,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__is__Nil__conv,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.49 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 219.21/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map_Osimps_I1_J,axiom, % 219.21/219.49 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 219.21/219.49 % 219.21/219.49 fof(fact_Nil__is__map__conv,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 219.21/219.49 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__update,axiom, % 219.21/219.49 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__addf,axiom, % 219.21/219.49 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( class_Groups_Ocomm__monoid__add(T_b) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__0,axiom, % 219.21/219.49 ! [V_xs_2,T_c,T_b] : % 219.21/219.49 ( class_Groups_Omonoid__add(T_b) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__mult__const,axiom, % 219.21/219.49 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( class_Rings_Osemiring__0(T_b) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__const__mult,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 219.21/219.49 ( class_Rings_Osemiring__0(T_b) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__subtractf,axiom, % 219.21/219.49 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( class_Groups_Oab__group__add(T_b) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__butlast,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__eq__imp__length__eq,axiom, % 219.21/219.49 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.49 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2) % 219.21/219.49 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_length__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__eq__conv,axiom, % 219.21/219.49 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.49 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2) % 219.21/219.49 <=> ! [B_x] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 219.21/219.49 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_take__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__injective,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.49 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2) % 219.21/219.49 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 219.21/219.49 => V_xs_2 = V_ys_2 ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_inj__map__eq__map,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.49 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2) % 219.21/219.49 <=> V_xs_2 = V_ys_2 ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__ident,axiom, % 219.21/219.49 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 219.21/219.49 % 219.21/219.49 fof(fact_set__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map_Osimps_I2_J,axiom, % 219.21/219.49 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_zip__same__conv__map,axiom, % 219.21/219.49 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ). % 219.21/219.49 % 219.21/219.49 fof(fact_zip__map__map,axiom, % 219.21/219.49 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_zip__map1,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__zip__map,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__zip__map2,axiom, % 219.21/219.49 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_zip__map2,axiom, % 219.21/219.49 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__append,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_hd__map,axiom, % 219.21/219.49 ! [V_f_2,T_c,T_b,V_xs_2] : % 219.21/219.49 ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.21/219.49 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_drop__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_list__size__map,axiom, % 219.21/219.49 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ). % 219.21/219.49 % 219.21/219.49 fof(fact_List_Omap_Ocomp,axiom, % 219.21/219.49 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__comp__map,axiom, % 219.21/219.49 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_List_Omap_Ocompositionality,axiom, % 219.21/219.49 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__map,axiom, % 219.21/219.49 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ). % 219.21/219.49 % 219.21/219.49 fof(fact_List_Omap_Oidentity,axiom, % 219.21/219.49 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_List_Omap_Oid,axiom, % 219.21/219.49 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_nth__map,axiom, % 219.21/219.49 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.49 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__fun__upd,axiom, % 219.21/219.49 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 219.21/219.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.49 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_distinct__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 219.21/219.49 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 219.21/219.49 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__abs,axiom, % 219.21/219.49 ! [V_xs_2,T_b] : % 219.21/219.49 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 219.21/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_uminus__listsum__map,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( class_Groups_Oab__group__add(T_b) % 219.21/219.49 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_inj__map,axiom, % 219.21/219.49 ! [V_f_2,T_c,T_b] : % 219.21/219.49 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 219.21/219.49 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_inj__mapD,axiom, % 219.21/219.49 ! [V_f_2,T_c,T_b] : % 219.21/219.49 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) % 219.21/219.49 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 219.21/219.49 ! [V_f_2,V_xs_2,T_b,T_c] : % 219.21/219.49 ( class_Groups_Ocomm__monoid__add(T_c) % 219.21/219.49 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__triv,axiom, % 219.21/219.49 ! [V_xs_2,V_r_2,T_c,T_b] : % 219.21/219.49 ( class_Rings_Osemiring__1(T_b) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_product_Osimps_I2_J,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__map__remove1,axiom, % 219.21/219.49 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 219.21/219.49 ( class_Groups_Ocomm__monoid__add(T_c) % 219.21/219.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_inj__on__mapI,axiom, % 219.21/219.49 ! [V_A_2,V_f_2,T_c,T_b] : % 219.21/219.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2))) % 219.21/219.49 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_Nitpick_Osetsum_H__def,axiom, % 219.21/219.49 ! [V_f_2,V_A_2,T_b,T_c] : % 219.21/219.49 ( class_Groups_Ocomm__monoid__add(T_c) % 219.21/219.49 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.21/219.49 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) ) % 219.21/219.49 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.21/219.49 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_pick__same,axiom, % 219.21/219.49 ! [V_xs_2,T_b,V_l_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.49 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_sublists_Osimps_I2_J,axiom, % 219.21/219.49 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_less__code__numeral__code,axiom, % 219.21/219.49 ! [V_m_2,V_n_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 219.21/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_zero__code__numeral__def,axiom, % 219.21/219.49 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 219.21/219.49 ! [V_m_2,V_n_2] : % 219.21/219.49 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 219.21/219.49 <=> V_n_2 = V_m_2 ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 219.21/219.49 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.49 % 219.21/219.49 fof(fact_times__code__numeral__code,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_one__code__numeral__def,axiom, % 219.21/219.49 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_code__numeral_Oof__nat__inject,axiom, % 219.21/219.49 ! [V_y_2,V_x_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 219.21/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 219.21/219.49 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 219.21/219.49 <=> V_x_2 = V_y_2 ) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__fst__zip,axiom, % 219.21/219.49 ! [V_ys_2,T_c,V_xs_2,T_b] : % 219.21/219.49 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 219.21/219.49 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_map__snd__zip,axiom, % 219.21/219.49 ! [V_ys_2,T_c,V_xs_2,T_b] : % 219.21/219.49 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 219.21/219.49 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_number__of__code__numeral__def,axiom, % 219.21/219.49 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ). % 219.21/219.49 % 219.21/219.49 fof(fact_zip__map__fst__snd,axiom, % 219.21/219.49 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ). % 219.21/219.49 % 219.21/219.49 fof(fact_plus__code__numeral__code,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_less__eq__code__numeral__code,axiom, % 219.21/219.49 ! [V_m_2,V_n_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2))) % 219.21/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_distinct__set__sublists,axiom, % 219.21/219.49 ! [V_xs_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.49 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_pick__member,axiom, % 219.21/219.49 ! [V_xs_2,T_b,V_i_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 219.21/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_zip__eq__conv,axiom, % 219.21/219.49 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 219.21/219.49 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 219.21/219.49 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 219.21/219.49 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2 % 219.21/219.49 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_list__size__conv__listsum,axiom, % 219.21/219.49 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_code__numeral__not__eq__zero,axiom, % 219.21/219.49 ! [V_i_2] : % 219.21/219.49 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 219.21/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 219.21/219.49 ! [V_l_2,V_k_2,V_f_2,T_b] : % 219.21/219.49 ( class_Groups_Ocomm__monoid__add(T_b) % 219.21/219.49 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 219.21/219.49 ! [V_j_2,V_i_2,V_f_2,T_b] : % 219.21/219.49 ( class_Groups_Ocomm__monoid__add(T_b) % 219.21/219.49 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_select__weight__member,axiom, % 219.21/219.49 ! [V_s_2,V_xs_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) % 219.21/219.49 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_select__weight__def,axiom, % 219.21/219.49 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_select__def,axiom, % 219.21/219.49 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_subtract__code__numeral__code,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_nat__of__inverse,axiom, % 219.21/219.49 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 219.21/219.49 % 219.21/219.49 fof(fact_of__nat__nat__of,axiom, % 219.21/219.49 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 219.21/219.49 % 219.21/219.49 fof(fact_nat__of__of__nat,axiom, % 219.21/219.49 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 219.21/219.49 % 219.21/219.49 fof(fact_times__code__numeral__def,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 219.21/219.49 ! [V_l_2,V_k_2] : % 219.21/219.49 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 219.21/219.49 <=> V_k_2 = V_l_2 ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_code__numeral_Onat__of__inject,axiom, % 219.21/219.49 ! [V_y_2,V_x_2] : % 219.21/219.49 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 219.21/219.49 <=> V_x_2 = V_y_2 ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_type__definition__code__numeral,axiom, % 219.21/219.49 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_less__code__numeral__def,axiom, % 219.21/219.49 ! [V_m_2,V_n_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 219.21/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_nat__of,axiom, % 219.21/219.49 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_nat__of__number,axiom, % 219.21/219.49 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ). % 219.21/219.49 % 219.21/219.49 fof(fact_int__of__def,axiom, % 219.21/219.49 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ). % 219.21/219.49 % 219.21/219.49 fof(fact_less__eq__code__numeral__def,axiom, % 219.21/219.49 ! [V_m_2,V_n_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 219.21/219.49 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_nat__of__code,axiom, % 219.21/219.49 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_nat__of__aux__def,axiom, % 219.21/219.49 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ). % 219.21/219.49 % 219.21/219.49 fof(fact_Suc__code__numeral__def,axiom, % 219.21/219.49 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_minus__code__numeral__def,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_of__nat__inverse,axiom, % 219.21/219.49 ! [V_y_2] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 219.21/219.49 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_plus__code__numeral__def,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_div__code__numeral__def,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_subtract__code__numeral__def,axiom, % 219.21/219.49 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.49 % 219.21/219.49 fof(fact_minus__code__numeral__code,axiom, % 219.21/219.49 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ). % 219.21/219.49 % 219.21/219.49 fof(fact_mod__code__numeral__def,axiom, % 219.21/219.49 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_code__numeral__decr,axiom, % 219.21/219.49 ! [V_k] : % 219.21/219.49 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 219.21/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsum__mono,axiom, % 219.21/219.49 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 219.21/219.49 ( ( class_Groups_Omonoid__add(T_c) % 219.21/219.49 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 219.21/219.49 => ( ! [B_x] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 219.21/219.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 219.21/219.49 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_partition__set,axiom, % 219.21/219.49 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 219.21/219.49 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 219.21/219.49 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_lists__IntI,axiom, % 219.21/219.49 ! [V_B_2,V_A_2,V_l_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 219.21/219.49 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 219.21/219.49 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsp_ONil,axiom, % 219.21/219.49 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsp_Oequations_I1_J,axiom, % 219.21/219.49 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 219.21/219.49 % 219.21/219.49 fof(fact_in__listsp__conv__set,axiom, % 219.21/219.49 ! [V_xs_2,V_A_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 219.21/219.49 <=> ! [B_x] : % 219.21/219.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.49 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsp__infI,axiom, % 219.21/219.49 ! [V_B_2,V_l_2,V_A_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 219.21/219.49 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 219.21/219.49 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsp__inf__eq,axiom, % 219.21/219.49 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsp__conj__eq,axiom, % 219.21/219.49 ! [V_x_2,V_B_2,V_A_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2)) % 219.21/219.49 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 219.21/219.49 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsp_Oequations_I2_J,axiom, % 219.21/219.49 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 219.21/219.49 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 219.21/219.49 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_append__in__listsp__conv,axiom, % 219.21/219.49 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 219.21/219.49 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 219.21/219.49 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 219.21/219.49 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 219.21/219.49 % 219.21/219.49 fof(fact_listsp__mono,axiom, % 219.21/219.50 ! [V_B_2,V_A_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_partition__P,axiom, % 219.21/219.50 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 & ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_partition_Osimps_I1_J,axiom, % 219.21/219.50 ! [V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_listsp__lists__eq,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2)) % 219.21/219.50 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_partition_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_P_2,V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lists__Int__eq,axiom, % 219.21/219.50 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__def,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 219.21/219.50 & ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_all__nth__imp__all__set,axiom, % 219.21/219.50 ! [V_x_2,V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( ! [B_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__map1,axiom, % 219.21/219.50 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2) % 219.21/219.50 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_P_2),V_f_2),V_as_2,V_bs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__map2,axiom, % 219.21/219.50 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2)) % 219.21/219.50 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__append,axiom, % 219.21/219.50 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] : % 219.21/219.50 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 219.21/219.50 => ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2)) % 219.21/219.50 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__appendI,axiom, % 219.21/219.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) % 219.21/219.50 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2) % 219.21/219.50 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__dropI,axiom, % 219.21/219.50 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2) % 219.21/219.50 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__Cons,axiom, % 219.21/219.50 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) % 219.21/219.50 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 219.21/219.50 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__eq,axiom, % 219.21/219.50 ! [T_b,V_ys_2,V_xs_2] : % 219.21/219.50 ( V_xs_2 = V_ys_2 % 219.21/219.50 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__takeI,axiom, % 219.21/219.50 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__lengthD,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__Nil,axiom, % 219.21/219.50 ! [V_ys_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2) % 219.21/219.50 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__Nil2,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c)) % 219.21/219.50 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__nthD2,axiom, % 219.21/219.50 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__nthD,axiom, % 219.21/219.50 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__conv__all__nth,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) % 219.21/219.50 & ! [B_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__update__cong2,axiom, % 219.21/219.50 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))) % 219.21/219.50 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__update__cong,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2)) % 219.21/219.50 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2I,axiom, % 219.21/219.50 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2)))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) % 219.21/219.50 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2) % 219.21/219.50 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 219.21/219.50 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 219.21/219.50 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__remdups,axiom, % 219.21/219.50 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__remdups__leq,axiom, % 219.21/219.50 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups__eq__nil__iff,axiom, % 219.21/219.50 ! [V_x_2,T_b] : % 219.21/219.50 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 219.21/219.50 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups__eq__nil__right__iff,axiom, % 219.21/219.50 ! [V_x_2,T_b] : % 219.21/219.50 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 219.21/219.50 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups_Osimps_I1_J,axiom, % 219.21/219.50 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__remdups__eq,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) % 219.21/219.50 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__remdups,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups__remdups,axiom, % 219.21/219.50 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__remdups__id,axiom, % 219.21/219.50 ! [V_xs,T_a] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.21/219.50 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups__id__iff__distinct,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 219.21/219.50 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups__map__remdups,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remove1__remdups,axiom, % 219.21/219.50 ! [V_x,V_xs,T_a] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.21/219.50 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__remdups__card__conv,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__remdups__concat,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat_Osimps_I1_J,axiom, % 219.21/219.50 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__conv__foldl,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldl__conv__concat,axiom, % 219.21/219.50 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__sort,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 219.21/219.50 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__sort,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__sort,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sort__key__simps_I1_J,axiom, % 219.21/219.50 ! [V_f_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__eq__Nil__conv,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : % 219.21/219.50 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 219.21/219.50 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Nil__eq__concat__conv,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : % 219.21/219.50 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 219.21/219.50 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__concat,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__concat,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__concat,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sort__key__simps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__append,axiom, % 219.21/219.50 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sort__foldl__insort,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__eq__concat__iff,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 219.21/219.50 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 219.21/219.50 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 219.21/219.50 <=> V_xs_2 = V_ys_2 ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__injective,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,T_b] : % 219.21/219.50 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 219.21/219.50 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) ) % 219.21/219.50 => V_xs_2 = V_ys_2 ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__map__singleton,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_n__lists_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose_Osimps_I3_J,axiom, % 219.21/219.50 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__aux__filter__head,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__concat,axiom, % 219.21/219.50 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__sort,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__map,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__filter__map,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__insort__triv,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter_Osimps_I1_J,axiom, % 219.21/219.50 ! [V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose_Osimps_I1_J,axiom, % 219.21/219.50 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__empty__conv,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__filter__le,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sum__length__filter__compl,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__is__subset,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__id__conv,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2 % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__filter,axiom, % 219.21/219.50 ! [V_xs_2,V_Q_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remove1__filter__not,axiom, % 219.21/219.50 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 219.21/219.50 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__remove1,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 219.21/219.50 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__append,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__filter,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_partition__filter1,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_partition__filter__conv,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_partition__filter2,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_P_2)),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_remdups__filter,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oremdups(T_b,V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nth__transpose,axiom, % 219.21/219.50 ! [V_xs_2,T_b,V_i_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__map__map,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__filter,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_P_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__filter__less,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__minus__filter__out,axiom, % 219.21/219.50 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__in__sublist,axiom, % 219.21/219.50 ! [V_s_2,V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__empty,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__filter__conv__card,axiom, % 219.21/219.50 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__aux__filter__tail,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose_Opsimps_I3_J,axiom, % 219.21/219.50 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2))) % 219.21/219.50 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose_Opsimps_I2_J,axiom, % 219.21/219.50 ! [V_xss_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2))) % 219.21/219.50 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sublist__shift__lemma__Suc,axiom, % 219.21/219.50 ! [V_is_2,V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_select__weigth__drop__zero,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pick__drop__zero,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose_Opsimps_I1_J,axiom, % 219.21/219.50 ! [T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b)))) % 219.21/219.50 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__max__length,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__aux__max,axiom, % 219.21/219.50 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldr_Osimps_I1_J,axiom, % 219.21/219.50 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldr_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldr__append,axiom, % 219.21/219.50 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldr__conv__foldl,axiom, % 219.21/219.50 ! [V_a_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Groups_Oab__semigroup__add(T_b) % 219.21/219.50 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldr__map,axiom, % 219.21/219.50 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldl__foldr1,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( class_Groups_Omonoid__add(T_b) % 219.21/219.50 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldl__foldr1__lemma,axiom, % 219.21/219.50 ! [V_xs_2,V_a_2,T_b] : % 219.21/219.50 ( class_Groups_Omonoid__add(T_b) % 219.21/219.50 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__transpose,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sublist__def,axiom, % 219.21/219.50 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sublist__shift__lemma,axiom, % 219.21/219.50 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_atLeastLessThan__upt,axiom, % 219.21/219.50 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__upt,axiom, % 219.21/219.50 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__upt,axiom, % 219.21/219.50 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__add__eq__append,axiom, % 219.21/219.50 ! [V_k,V_j,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__Suc,axiom, % 219.21/219.50 ! [V_j,V_i] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__Suc__append,axiom, % 219.21/219.50 ! [V_j,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_drop__upt,axiom, % 219.21/219.50 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ). % 219.21/219.50 % 219.21/219.50 fof(fact_hd__upt,axiom, % 219.21/219.50 ! [V_j,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__rec,axiom, % 219.21/219.50 ! [V_j,V_i] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__conv__Cons,axiom, % 219.21/219.50 ! [V_j,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_take__upt,axiom, % 219.21/219.50 ! [V_n,V_m,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n)) % 219.21/219.50 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__list__of__set__range,axiom, % 219.21/219.50 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__eq__Nil__conv,axiom, % 219.21/219.50 ! [V_j_2,V_i_2] : % 219.21/219.50 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 219.21/219.50 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__conv__Nil,axiom, % 219.21/219.50 ! [V_i,V_j] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 219.21/219.50 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__0,axiom, % 219.21/219.50 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__upt,axiom, % 219.21/219.50 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__rec__number__of,axiom, % 219.21/219.50 ! [V_n,V_m] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) % 219.21/219.50 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) % 219.21/219.50 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_upt__eq__Cons__conv,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 219.21/219.50 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 219.21/219.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 219.21/219.50 & V_i_2 = V_x_2 % 219.21/219.50 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_last__upt,axiom, % 219.21/219.50 ! [V_j,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__Suc__upt,axiom, % 219.21/219.50 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_atLeastAtMost__upt,axiom, % 219.21/219.50 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_atLeast__upt,axiom, % 219.21/219.50 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nth__upt,axiom, % 219.21/219.50 ! [V_j,V_k,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j)) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_greaterThanAtMost__upt,axiom, % 219.21/219.50 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_greaterThanLessThan__upt,axiom, % 219.21/219.50 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_atMost__upto,axiom, % 219.21/219.50 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__nth,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ). % 219.21/219.50 % 219.21/219.50 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 219.21/219.50 ! [V_n_2,V_m_2,V_f_2,T_b] : % 219.21/219.50 ( class_Groups_Ocomm__monoid__add(T_b) % 219.21/219.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 219.21/219.50 ! [V_n_2,V_m_2,V_f_2,T_b] : % 219.21/219.50 ( class_Groups_Ocomm__monoid__add(T_b) % 219.21/219.50 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nth__map__upt,axiom, % 219.21/219.50 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__rectangle,axiom, % 219.21/219.50 ! [V_n_2,T_b,V_xs_2] : % 219.21/219.50 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 219.21/219.50 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 219.21/219.50 => ( ! [B_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 ) % 219.21/219.50 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_insort__key__remove1,axiom, % 219.21/219.50 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 219.21/219.50 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2 % 219.21/219.50 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted_ONil,axiom, % 219.21/219.50 ! [T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__single,axiom, % 219.21/219.50 ! [V_x,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__upt,axiom, % 219.21/219.50 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__sort,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__insort,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) % 219.21/219.50 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__tl,axiom, % 219.21/219.50 ! [V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted_Oequations_I1_J,axiom, % 219.21/219.50 ! [T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__butlast,axiom, % 219.21/219.50 ! [V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( V_xs != c_List_Olist_ONil(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__take,axiom, % 219.21/219.50 ! [V_n,V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__upto,axiom, % 219.21/219.50 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__remove1,axiom, % 219.21/219.50 ! [V_a,V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__many,axiom, % 219.21/219.50 ! [V_zs,V_y,V_x,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__many__eq,axiom, % 219.21/219.50 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2))) % 219.21/219.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 219.21/219.50 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__drop,axiom, % 219.21/219.50 ! [V_n,V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__insort__insert,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__remdups,axiom, % 219.21/219.50 ! [V_l,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__distinct__set__unique,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 219.21/219.50 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 219.21/219.50 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 219.21/219.50 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__sort__key,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__insort__insert__key,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__map__remove1,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__insort__key,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2))) % 219.21/219.50 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__filter,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__map__same,axiom, % 219.21/219.50 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__same,axiom, % 219.21/219.50 ! [V_xs_2,V_g_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__Cons,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 219.21/219.50 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 & ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__append,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 219.21/219.50 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 219.21/219.50 & ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ! [B_xa] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__insort,axiom, % 219.21/219.50 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 219.21/219.50 => ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hAPP(c_List_Ofilter(T_c,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted_Oequations_I2_J,axiom, % 219.21/219.50 ! [V_a1_2,V_a2_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 219.21/219.50 <=> ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 219.21/219.50 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__list__of__set,axiom, % 219.21/219.50 ! [V_A_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.21/219.50 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 219.21/219.50 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 219.21/219.50 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_insort__remove1,axiom, % 219.21/219.50 ! [V_xs_2,V_a_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__nth__mono,axiom, % 219.21/219.50 ! [V_j,V_i,V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__equals__nth__mono,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 <=> ! [B_j] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => ! [B_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__sorted__distinct__set__unique,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2))) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 219.21/219.50 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 219.21/219.50 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 219.21/219.50 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 219.21/219.50 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__column,axiom, % 219.21/219.50 ! [V_i_2,V_xs_2,T_b] : % 219.21/219.50 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nth__nth__transpose__sorted,axiom, % 219.21/219.50 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 219.21/219.50 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)))) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inj__on__rev,axiom, % 219.21/219.50 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__is__Nil__conv,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 219.21/219.50 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Nil__is__rev__conv,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 219.21/219.50 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev_Osimps_I1_J,axiom, % 219.21/219.50 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact_singleton__rev__conv,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2) % 219.21/219.50 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__singleton__conv,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) % 219.21/219.50 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__append,axiom, % 219.21/219.50 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__rev,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 219.21/219.50 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__concat,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__map,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__filter,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Orev(T_b),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_zip__rev,axiom, % 219.21/219.50 ! [V_ys,T_b,V_xs,T_a] : % 219.21/219.50 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys) % 219.21/219.50 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__rev,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_listsum__rev,axiom, % 219.21/219.50 ! [V_xs,T_a] : % 219.21/219.50 ( class_Groups_Ocomm__monoid__add(T_a) % 219.21/219.50 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__is__rev__conv,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 219.21/219.50 <=> V_xs_2 = V_ys_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__swap,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 219.21/219.50 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__rev__ident,axiom, % 219.21/219.50 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__rev,axiom, % 219.21/219.50 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__rev1,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 219.21/219.50 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__rev,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : % 219.21/219.50 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2)) % 219.21/219.50 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldl__foldr,axiom, % 219.21/219.50 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldr__foldl,axiom, % 219.21/219.50 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__eq__Cons__iff,axiom, % 219.21/219.50 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 219.21/219.50 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_last__rev,axiom, % 219.21/219.50 ! [T_a,V_xs] : % 219.21/219.50 ( V_xs != c_List_Olist_ONil(T_a) % 219.21/219.50 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_hd__rev,axiom, % 219.21/219.50 ! [T_a,V_xs] : % 219.21/219.50 ( V_xs != c_List_Olist_ONil(T_a) % 219.21/219.50 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__transpose,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__foldl__cons,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__drop,axiom, % 219.21/219.50 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__take,axiom, % 219.21/219.50 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rotate__rev,axiom, % 219.21/219.50 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__nth,axiom, % 219.21/219.50 ! [V_xs,T_a,V_n] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__update,axiom, % 219.21/219.50 ! [V_y,V_xs,T_a,V_k] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.21/219.50 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__rev__nth__mono,axiom, % 219.21/219.50 ! [V_j,V_i,V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldr__max__sorted,axiom, % 219.21/219.50 ! [V_y_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 219.21/219.50 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 219.21/219.50 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 219.21/219.50 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.21/219.50 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__transpose__sorted,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 219.21/219.50 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 219.21/219.50 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 219.21/219.50 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__column__length,axiom, % 219.21/219.50 ! [V_i_2,V_xs_2,T_b] : % 219.21/219.50 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpose__transpose,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2))) % 219.21/219.50 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 219.21/219.50 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__takeWhile,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__takeWhile__le,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__takeWhileD,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__eq__all__conv,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2 % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_zip__takeWhile__fst,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_zip__takeWhile__snd,axiom, % 219.21/219.50 ! [V_ys_2,V_P_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__map,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__takeWhile,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__tail,axiom, % 219.21/219.50 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] : % 219.21/219.50 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 219.21/219.50 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__eq__take,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile_Osimps_I1_J,axiom, % 219.21/219.50 ! [V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_return__list__def,axiom, % 219.21/219.50 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__append1,axiom, % 219.21/219.50 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__nth,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nth__length__takeWhile,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__not__last,axiom, % 219.21/219.50 ! [T_b,V_xs_2] : % 219.21/219.50 ( V_xs_2 != c_List_Olist_ONil(T_b) % 219.21/219.50 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 219.21/219.50 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 219.21/219.50 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transfer__nat__int__list__return__embed,axiom, % 219.21/219.50 ! [V_l] : % 219.21/219.50 ( c_List_Onat__list(V_l) % 219.21/219.50 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 219.21/219.50 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_embed__list__def,axiom, % 219.21/219.50 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__neq__rev,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__neq__rev,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__dropWhile__id,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)) = V_xs_2 ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__dropWhile,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_hd__dropWhile,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__dropWhile__le,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__eq__Nil__conv,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__dropWhile,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 219.21/219.50 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 219.21/219.50 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_P_2,V_xs_2) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile_Osimps_I1_J,axiom, % 219.21/219.50 ! [V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__map,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__append1,axiom, % 219.21/219.50 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_ys_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__eq__Cons__conv,axiom, % 219.21/219.50 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 219.21/219.50 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) % 219.21/219.50 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__eq__drop,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__nth,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b,V_j_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_listsum__map__filter,axiom, % 219.21/219.50 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] : % 219.21/219.50 ( class_Groups_Omonoid__add(T_c) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => ( ~ hBOOL(hAPP(V_P_2,B_x)) % 219.21/219.50 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 219.21/219.50 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted__nth__monoI,axiom, % 219.21/219.50 ! [V_xs,T_a] : % 219.21/219.50 ( class_Orderings_Olinorder(T_a) % 219.21/219.50 => ( ! [B_i,B_j] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) ) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__eq__filter,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__eq__take__P__nth,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b,V_n_2] : % 219.21/219.50 ( ! [B_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 219.21/219.50 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 219.21/219.50 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__takeWhile__less__P__nth,axiom, % 219.21/219.50 ! [V_xs_2,T_b,V_P_2,V_j_2] : % 219.21/219.50 ( ! [B_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted_Osimps,axiom, % 219.21/219.50 ! [V_a_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 219.21/219.50 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 219.21/219.50 | ? [B_xs,B_x] : % 219.21/219.50 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 219.21/219.50 & ! [B_xa] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 219.21/219.50 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__removeAll__inj__on,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_not__in__set__insert,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_removeAll__append,axiom, % 219.21/219.50 ! [V_ys,V_xs,V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)),hAPP(c_List_OremoveAll(T_a,V_x),V_ys)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_insert__remdups,axiom, % 219.21/219.50 ! [V_xs,V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oinsert(T_a,V_x,V_xs)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_removeAll__filter__not__eq,axiom, % 219.21/219.50 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_removeAll__filter__not,axiom, % 219.21/219.50 ! [V_xs_2,T_b,V_x_2,V_P_2] : % 219.21/219.50 ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__insert,axiom, % 219.21/219.50 ! [V_x,V_xs,T_a] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.21/219.50 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__removeAll,axiom, % 219.21/219.50 ! [V_x,V_xs,T_a] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.21/219.50 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_removeAll_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_xs,T_a,V_y,V_x] : % 219.21/219.50 ( ( V_x = V_y % 219.21/219.50 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) % 219.21/219.50 & ( V_x != V_y % 219.21/219.50 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_removeAll_Osimps_I1_J,axiom, % 219.21/219.50 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact_removeAll__id,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__remove1__removeAll,axiom, % 219.21/219.50 ! [V_x,V_xs,T_a] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 219.21/219.50 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__set__insert,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_List_Oset__insert,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_insert__Nil,axiom, % 219.21/219.50 ! [V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__removeAll__inj,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__removeAll,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_List_Oinsert__def,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_maps__def,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__map__maps,axiom, % 219.21/219.50 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_maps__simps_I2_J,axiom, % 219.21/219.50 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_maps__simps_I1_J,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_distinct__concat,axiom, % 219.21/219.50 ! [V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 219.21/219.50 => ( ! [B_ys] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 219.21/219.50 => ( ! [B_ys] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => ! [B_zs] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => ( B_ys != B_zs % 219.21/219.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) % 219.21/219.50 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_measures__lesseq,axiom, % 219.21/219.50 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_wf__measures,axiom, % 219.21/219.50 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__measures_I1_J,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_measures__def,axiom, % 219.21/219.50 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__measures_I2_J,axiom, % 219.21/219.50 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) % 219.21/219.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 219.21/219.50 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 219.21/219.50 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_measures__less,axiom, % 219.21/219.50 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_foldl__apply,axiom, % 219.21/219.50 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) ) % 219.21/219.50 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_zip__obtain__same__length,axiom, % 219.21/219.50 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] : % 219.21/219.50 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) ) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pos__not__random__dseq__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_dropWhile__append2,axiom, % 219.21/219.50 ! [V_ys_2,V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_P_2,V_ys_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all2__all__nthI,axiom, % 219.21/219.50 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] : % 219.21/219.50 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2) % 219.21/219.50 => ( ! [B_n] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) ) % 219.21/219.50 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_finite__sorted__distinct__unique,axiom, % 219.21/219.50 ! [V_A_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.21/219.50 => ? [B_x] : % 219.21/219.50 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 219.21/219.50 & c_List_Olinorder__class_Osorted(T_b,B_x) % 219.21/219.50 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 219.21/219.50 & ! [B_y] : % 219.21/219.50 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 219.21/219.50 & c_List_Olinorder__class_Osorted(T_b,B_y) % 219.21/219.50 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 219.21/219.50 => B_y = B_x ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_takeWhile__append2,axiom, % 219.21/219.50 ! [V_ys_2,V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_insort__is__Cons,axiom, % 219.21/219.50 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 219.21/219.50 ( class_Orderings_Olinorder(T_c) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 219.21/219.50 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Cons__eq__filter__iff,axiom, % 219.21/219.50 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) % 219.21/219.50 <=> ? [B_us,B_vs] : % 219.21/219.50 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 219.21/219.50 & ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 & hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__eq__Cons__iff,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] : % 219.21/219.50 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) % 219.21/219.50 <=> ? [B_us,B_vs] : % 219.21/219.50 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs)) % 219.21/219.50 & ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 219.21/219.50 => ~ hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 & hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ball__nth,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b,V_n_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sorted_OCons,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,T_b] : % 219.21/219.50 ( class_Orderings_Olinorder(T_b) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 219.21/219.50 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 219.21/219.50 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__length,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ? [B_n] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__set__conv__decomp,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__simps_I1_J,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 219.21/219.50 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__rev,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 219.21/219.50 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__iff,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__append,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 219.21/219.50 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 219.21/219.50 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__simps_I2_J,axiom, % 219.21/219.50 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__set__conv__decomp__first,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 <=> ? [B_ys] : % 219.21/219.50 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 219.21/219.50 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__set__conv__decomp__last,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 <=> ? [B_ys,B_zs] : % 219.21/219.50 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) % 219.21/219.50 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__length,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ! [B_n] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_finite__induct,axiom, % 219.21/219.50 ! [V_P_2,V_F_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 219.21/219.50 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 219.21/219.50 => ( ! [B_x,B_F] : % 219.21/219.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 219.21/219.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 219.21/219.50 => ( hBOOL(hAPP(V_P_2,B_F)) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 219.21/219.50 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__simps_I1_J,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 219.21/219.50 <=> ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__rev,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 219.21/219.50 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__iff,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__append,axiom, % 219.21/219.50 ! [V_ys_2,V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 219.21/219.50 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 219.21/219.50 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__simps_I2_J,axiom, % 219.21/219.50 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Ball__set__list__all,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__iff__raw,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__all(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex1__simps_I2_J,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 219.21/219.50 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_measure__function__int,axiom, % 219.21/219.50 c_FunDef_Ois__measure(tc_Int_Oint,hAPP(c_Fun_Ocomp(tc_Int_Oint,tc_Nat_Onat,tc_Int_Oint,c_Int_Onat),c_Groups_Oabs__class_Oabs(tc_Int_Oint))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex1__simps_I1_J,axiom, % 219.21/219.50 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_is__measure_Ointros,axiom, % 219.21/219.50 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_is__measure_Oequations,axiom, % 219.21/219.50 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_is__measure_Osimps,axiom, % 219.21/219.50 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_measure__size,axiom, % 219.21/219.50 ! [T_b] : % 219.21/219.50 ( class_Nat_Osize(T_b) % 219.21/219.50 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_measure__snd,axiom, % 219.21/219.50 ! [T_c,V_f_2,T_b] : % 219.21/219.50 ( c_FunDef_Ois__measure(T_b,V_f_2) % 219.21/219.50 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_measure__fst,axiom, % 219.21/219.50 ! [T_c,V_f_2,T_b] : % 219.21/219.50 ( c_FunDef_Ois__measure(T_b,V_f_2) % 219.21/219.50 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex1__iff,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) % 219.21/219.50 & ! [B_y] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_y)) ) % 219.21/219.50 => B_y = B_x ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transfer__morphism__int__nat,axiom, % 219.21/219.50 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 219.21/219.50 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 219.21/219.50 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.21/219.50 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) ) % 219.21/219.50 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.21/219.50 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bool_Osize_I4_J,axiom, % 219.21/219.50 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bool_Osize_I3_J,axiom, % 219.21/219.50 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 219.21/219.50 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_neg__bind__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 219.21/219.50 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 219.21/219.50 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.21/219.50 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) ) % 219.21/219.50 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 219.21/219.50 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Opos__empty__def,axiom, % 219.21/219.50 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pos__empty__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Opos__bind__def,axiom, % 219.21/219.50 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pos__bind__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_neg__map__def,axiom, % 219.21/219.50 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_neg__single__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pos__map__def,axiom, % 219.21/219.50 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Oneg__single__def,axiom, % 219.21/219.50 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pos__single__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Opos__single__def,axiom, % 219.21/219.50 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__splice,axiom, % 219.21/219.50 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_splice_Osimps_I3_J,axiom, % 219.21/219.50 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_splice_Osimps_I1_J,axiom, % 219.21/219.50 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 219.21/219.50 % 219.21/219.50 fof(fact_splice__Nil2,axiom, % 219.21/219.50 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 219.21/219.50 % 219.21/219.50 fof(fact_splice_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ). % 219.21/219.50 % 219.21/219.50 fof(fact_,axiom, % 219.21/219.50 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bij__image__Collect__eq,axiom, % 219.21/219.50 ! [V_P_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_P_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__f__eq,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.21/219.50 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 219.21/219.50 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__f__f,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 219.21/219.50 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__f__f,axiom, % 219.21/219.50 ! [V_x_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__f__eq,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 219.21/219.50 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__def,axiom, % 219.21/219.50 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__inv__eq,axiom, % 219.21/219.50 ! [V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 219.21/219.50 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bij__imp__bij__inv,axiom, % 219.21/219.50 ! [V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 219.21/219.50 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bij__betw__inv__into,axiom, % 219.21/219.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 219.21/219.50 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__inv__into__eq,axiom, % 219.21/219.50 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 219.21/219.50 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_image__inv__into__cancel,axiom, % 219.21/219.50 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 219.21/219.50 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_surj__iff__all,axiom, % 219.21/219.50 ! [V_f_2,T_b,T_c] : % 219.21/219.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.50 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_surj__f__inv__f,axiom, % 219.21/219.50 ! [V_y_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.50 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_image__surj__f__inv__f,axiom, % 219.21/219.50 ! [V_A_2,V_f_2,T_b,T_c] : % 219.21/219.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.50 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__injective,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 219.21/219.50 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 219.21/219.50 => V_x_2 = V_y_2 ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__into,axiom, % 219.21/219.50 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_f__inv__into__f,axiom, % 219.21/219.50 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 219.21/219.50 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__id,axiom, % 219.21/219.50 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__def,axiom, % 219.21/219.50 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inj__on__inv__into,axiom, % 219.21/219.50 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 219.21/219.50 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__image__cancel,axiom, % 219.21/219.50 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 219.21/219.50 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inj__imp__surj__inv,axiom, % 219.21/219.50 ! [V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_image__inv__f__f,axiom, % 219.21/219.50 ! [V_A_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__image__comp,axiom, % 219.21/219.50 ! [V_X_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_surj__imp__inj__inv,axiom, % 219.21/219.50 ! [V_f_2,T_b,T_c] : % 219.21/219.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.50 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_o__inv__o__cancel,axiom, % 219.21/219.50 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_o__inv__distrib,axiom, % 219.21/219.50 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 219.21/219.50 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__into__comp,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)) % 219.21/219.50 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2)))) % 219.21/219.50 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_surj__iff,axiom, % 219.21/219.50 ! [V_f_2,T_b,T_c] : % 219.21/219.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.50 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inv__o__cancel,axiom, % 219.21/219.50 ! [V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inj__iff,axiom, % 219.21/219.50 ! [V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bij__vimage__eq__inv__image,axiom, % 219.21/219.50 ! [V_A_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 219.21/219.50 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_inj__transfer,axiom, % 219.21/219.50 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] : % 219.21/219.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 219.21/219.50 => ( ! [B_y] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) ) % 219.21/219.50 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_small__lazy__list_Osimps,axiom, % 219.21/219.50 ! [V_d_2,T_b] : % 219.21/219.50 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 219.21/219.50 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_small__lazy__prod__def,axiom, % 219.21/219.50 ! [V_d,T_b,T_a] : % 219.21/219.50 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 219.21/219.50 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 219.21/219.50 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_New__DSequence_Opos__union__def,axiom, % 219.21/219.50 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_acyclicP__converse,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2)))) % 219.21/219.50 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_converse__meet,axiom, % 219.21/219.50 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversep__eq,axiom, % 219.21/219.50 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversep__conversep,axiom, % 219.21/219.50 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversep__iff,axiom, % 219.21/219.50 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 219.21/219.50 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversep_Oequations,axiom, % 219.21/219.50 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 219.21/219.50 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversep_Ointros,axiom, % 219.21/219.50 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversepD,axiom, % 219.21/219.50 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversep__noteq,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2)) % 219.21/219.50 <=> V_x_2 != V_y_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_converse__pred__comp,axiom, % 219.21/219.50 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_converse__join,axiom, % 219.21/219.50 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_conversep__converse__eq,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2)) % 219.21/219.50 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pos__union__def,axiom, % 219.21/219.50 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_small__lazy_H_Osimps,axiom, % 219.21/219.50 ! [V_i,V_d] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 219.21/219.50 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 219.21/219.50 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_small__lazy__int__def,axiom, % 219.21/219.50 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_small__lazy_H_Opsimps,axiom, % 219.21/219.50 ! [V_i_2,V_d_2] : % 219.21/219.50 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2))) % 219.21/219.50 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 219.21/219.50 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 219.21/219.50 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_tl__replicate,axiom, % 219.21/219.50 ! [V_x,T_a,V_n] : % 219.21/219.50 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__replicate,axiom, % 219.21/219.50 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__0,axiom, % 219.21/219.50 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact_empty__replicate,axiom, % 219.21/219.50 ! [V_x_2,V_n_2,T_b] : % 219.21/219.50 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 219.21/219.50 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__empty,axiom, % 219.21/219.50 ! [V_x_2,V_n_2,T_b] : % 219.21/219.50 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 219.21/219.50 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_concat__replicate__trivial,axiom, % 219.21/219.50 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact_filter__replicate,axiom, % 219.21/219.50 ! [V_n_2,T_b,V_x_2,V_P_2] : % 219.21/219.50 ( ( hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(V_P_2,V_x_2)) % 219.21/219.50 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_append__replicate__commute,axiom, % 219.21/219.50 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__add,axiom, % 219.21/219.50 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nth__replicate,axiom, % 219.21/219.50 ! [V_x,T_a,V_n,V_i] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 219.21/219.50 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__eq__replicate,axiom, % 219.21/219.50 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 219.21/219.50 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 219.21/219.50 <=> ( V_m_2 = V_n_2 % 219.21/219.50 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 => V_x_2 = V_y_2 ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Bex__set__replicate,axiom, % 219.21/219.50 ! [V_P_2,V_a_2,V_n_2,T_b] : % 219.21/219.50 ( ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 219.21/219.50 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Ball__set__replicate,axiom, % 219.21/219.50 ! [V_P_2,V_a_2,V_n_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2)))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 <=> ( hBOOL(hAPP(V_P_2,V_a_2)) % 219.21/219.50 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_zip__replicate,axiom, % 219.21/219.50 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_drop__replicate,axiom, % 219.21/219.50 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ). % 219.21/219.50 % 219.21/219.50 fof(fact_hd__replicate,axiom, % 219.21/219.50 ! [V_x,T_a,V_n] : % 219.21/219.50 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_take__replicate,axiom, % 219.21/219.50 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ). % 219.21/219.50 % 219.21/219.50 fof(fact_last__replicate,axiom, % 219.21/219.50 ! [V_x,T_a,V_n] : % 219.21/219.50 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_rev__replicate,axiom, % 219.21/219.50 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__Suc,axiom, % 219.21/219.50 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__app__Cons__same,axiom, % 219.21/219.50 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__replicate__const,axiom, % 219.21/219.50 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_length__replicate,axiom, % 219.21/219.50 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__length__filter,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__set__replicate,axiom, % 219.21/219.50 ! [V_y_2,V_n_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2)))) % 219.21/219.50 <=> ( V_x_2 = V_y_2 % 219.21/219.50 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_replicate__append__same,axiom, % 219.21/219.50 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_map__replicate__trivial,axiom, % 219.21/219.50 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__replicate,axiom, % 219.21/219.50 ! [V_x_2,T_b,V_n_2] : % 219.21/219.50 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__replicate__conv__if,axiom, % 219.21/219.50 ! [V_x_2,T_b,V_n_2] : % 219.21/219.50 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 219.21/219.50 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.50 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_set__replicate__Suc,axiom, % 219.21/219.50 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_small__lazy_H_Opinduct,axiom, % 219.21/219.50 ! [V_P_2,V_a1_2,V_a0_2] : % 219.21/219.50 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2))) % 219.21/219.50 => ( ! [B_d,B_i] : % 219.21/219.50 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))) % 219.21/219.50 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_P_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) ) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_eq__comp__r,axiom, % 219.21/219.50 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ). % 219.21/219.50 % 219.21/219.50 fof(fact_field__le__epsilon,axiom, % 219.21/219.50 ! [V_y,V_x,T_a] : % 219.21/219.50 ( class_Fields_Olinordered__field(T_a) % 219.21/219.50 => ( ! [B_e] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) ) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 219.21/219.50 ! [V_lazy__sequence,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a,V_lazy__sequence)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_lazy__sequence)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 219.21/219.50 % 219.21/219.50 fof(fact__01,axiom, % 219.21/219.50 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Oinject,axiom, % 219.21/219.50 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 219.21/219.50 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2) % 219.21/219.50 <=> ( V_a_2 = V_a_H_2 % 219.21/219.50 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 219.21/219.50 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_size__code,axiom, % 219.21/219.50 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence__size__code,axiom, % 219.21/219.50 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_seq__case,axiom, % 219.21/219.50 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_yieldn__def,axiom, % 219.21/219.50 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 219.21/219.50 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_refl__on__INTER,axiom, % 219.21/219.50 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 219.21/219.50 ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 219.21/219.50 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 219.21/219.50 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_in__set__member,axiom, % 219.21/219.50 ! [V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_member__rec_I1_J,axiom, % 219.21/219.50 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2)) % 219.21/219.50 <=> ( V_x_2 = V_y_2 % 219.21/219.50 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_member__set,axiom, % 219.21/219.50 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_member__rec_I2_J,axiom, % 219.21/219.50 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_List_Omember__def,axiom, % 219.21/219.50 ! [V_x_2,V_xs_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 219.21/219.50 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pair__box_Osize_I1_J,axiom, % 219.21/219.50 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex1__iff__raw,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) % 219.21/219.50 & ! [B_y] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_y)) ) % 219.21/219.50 => B_y = B_x ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pair__box_Oinject,axiom, % 219.21/219.50 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 219.21/219.50 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2) % 219.21/219.50 <=> ( V_a_2 = V_a_H_2 % 219.21/219.50 & V_b_2 = V_b_H_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pair__box_Osize_I2_J,axiom, % 219.21/219.50 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pair__box_Orecs,axiom, % 219.21/219.50 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_pair__box_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ). % 219.21/219.50 % 219.21/219.50 fof(fact_THE__default__def,axiom, % 219.21/219.50 ! [V_d_2,T_b,V_P_2] : % 219.21/219.50 ( ( ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(V_P_2,B_x)) % 219.21/219.50 & ! [B_y] : % 219.21/219.50 ( hBOOL(hAPP(V_P_2,B_y)) % 219.21/219.50 => B_y = B_x ) ) % 219.21/219.50 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) ) % 219.21/219.50 & ( ~ ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(V_P_2,B_x)) % 219.21/219.50 & ! [B_y] : % 219.21/219.50 ( hBOOL(hAPP(V_P_2,B_y)) % 219.21/219.50 => B_y = B_x ) ) % 219.21/219.50 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_setsum__UNION__zero,axiom, % 219.21/219.50 ! [V_f_2,V_S_2,T_b,T_c] : % 219.21/219.50 ( class_Groups_Ocomm__monoid__add(T_c) % 219.21/219.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 219.21/219.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 219.21/219.50 => ( ! [B_T1] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 219.21/219.50 => ! [B_T2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 219.21/219.50 => ( B_T1 != B_T2 % 219.21/219.50 => ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 219.21/219.50 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 219.21/219.50 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_finite__maxlen,axiom, % 219.21/219.50 ! [V_M_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 219.21/219.50 => ? [B_n] : % 219.21/219.50 ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 219.21/219.50 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 219.21/219.50 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 219.21/219.50 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ). % 219.21/219.50 % 219.21/219.50 fof(fact__02,axiom, % 219.21/219.50 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 219.21/219.50 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 219.21/219.50 % 219.21/219.50 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 219.21/219.50 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__all__iff__all__interval__int,axiom, % 219.21/219.50 ! [V_j_2,V_i_2,V_P_2] : % 219.21/219.50 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2)) % 219.21/219.50 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 219.21/219.50 ! [V_j_2,V_i_2,V_P_2] : % 219.21/219.50 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2)) % 219.21/219.50 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_P_2),V_i_2,V_j_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_all__interval__int__def,axiom, % 219.21/219.50 ! [V_j_2,V_i_2,V_P_2] : % 219.21/219.50 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 219.21/219.50 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_code__numeral_Orecs_I2_J,axiom, % 219.21/219.50 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Random_Osimps,axiom, % 219.21/219.50 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 219.21/219.50 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 219.21/219.50 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ) % 219.21/219.50 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) % 219.21/219.50 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_code__numeral_Orecs_I1_J,axiom, % 219.21/219.50 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ). % 219.21/219.50 % 219.21/219.50 fof(fact_Random__Sequence_Oempty__def,axiom, % 219.21/219.50 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Random__Sequence_Osingle__def,axiom, % 219.21/219.50 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Random__Sequence_Omap__def,axiom, % 219.21/219.50 ! [V_P_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_P_2) = c_Random__Sequence_Obind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_exE__realizer,axiom, % 219.21/219.50 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2))) % 219.21/219.50 => ( ! [B_x,B_y] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x)) % 219.21/219.50 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 219.21/219.50 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Image__Collect__split,axiom, % 219.21/219.50 ! [V_A_2,V_P_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2)))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lexord__trans,axiom, % 219.21/219.50 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) % 219.21/219.50 => ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__less__than,axiom, % 219.21/219.50 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__lex__prod,axiom, % 219.21/219.50 ! [V_R2_2,T_c,V_R1_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_R1_2) % 219.21/219.50 => ( c_Relation_Otrans(T_c,V_R2_2) % 219.21/219.50 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transD,axiom, % 219.21/219.50 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__def,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 <=> ! [B_x,B_y] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 219.21/219.50 => ! [B_z] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_UN__eq,axiom, % 219.21/219.50 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Union__eq,axiom, % 219.21/219.50 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__inv__image,axiom, % 219.21/219.50 ! [V_f_2,T_c,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__O__subset,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_SUPR__bool__eq,axiom, % 219.21/219.50 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__Int,axiom, % 219.21/219.50 ! [V_s_2,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => ( c_Relation_Otrans(T_b,V_s_2) % 219.21/219.50 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bex__UNIV,axiom, % 219.21/219.50 ! [V_P_2,T_b] : % 219.21/219.50 ( ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__rtrancl,axiom, % 219.21/219.50 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_lexord__transI,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__finite__psubset,axiom, % 219.21/219.50 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__Id__on,axiom, % 219.21/219.50 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trancl__id,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__trancl,axiom, % 219.21/219.50 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__Id,axiom, % 219.21/219.50 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__converse,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 219.21/219.50 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_listrel__trans,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_bex__empty,axiom, % 219.21/219.50 ! [V_P_2,T_b] : % 219.21/219.50 ~ ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_finite__Collect__bex,axiom, % 219.21/219.50 ! [V_Q_2,T_c,V_A_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.21/219.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2))))) % 219.21/219.50 <=> ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 219.21/219.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__reflclI,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_list__ex__iff__raw,axiom, % 219.21/219.50 ! [V_xs_2,V_P_2,T_b] : % 219.21/219.50 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2) % 219.21/219.50 <=> ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Bex__set__list__ex,axiom, % 219.21/219.50 ! [V_P_2,V_xs_2,T_b] : % 219.21/219.50 ( ? [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 219.21/219.50 & hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.50 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_INT__eq,axiom, % 219.21/219.50 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Sup__fun__def,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,T_c,T_b] : % 219.21/219.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.21/219.50 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Sup__apply,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,T_c,T_b] : % 219.21/219.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.21/219.50 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Inf__fun__def,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,T_c,T_b] : % 219.21/219.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.21/219.50 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_Inf__apply,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,T_c,T_b] : % 219.21/219.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 219.21/219.50 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_max__extp_Ointros,axiom, % 219.21/219.50 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 219.21/219.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 219.21/219.50 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 219.21/219.50 => ? [B_xa] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 219.21/219.50 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 219.21/219.50 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transp__def,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Predicate_Otransp(T_b,V_r_2) % 219.21/219.50 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_transpE,axiom, % 219.21/219.50 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 219.21/219.50 ( c_Predicate_Otransp(T_b,V_r_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_equivpE,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 219.21/219.50 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 219.21/219.50 => ( c_Predicate_Osymp(T_b,V_R_2) % 219.21/219.50 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_equivpI,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Predicate_Oreflp(T_b,V_R_2) % 219.21/219.50 => ( c_Predicate_Osymp(T_b,V_R_2) % 219.21/219.50 => ( c_Predicate_Otransp(T_b,V_R_2) % 219.21/219.50 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sympE,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,V_r_2,T_b] : % 219.21/219.50 ( c_Predicate_Osymp(T_b,V_r_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_equivp__reflp__symp__transp,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 219.21/219.50 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 219.21/219.50 & c_Predicate_Osymp(T_b,V_R_2) % 219.21/219.50 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_max__extp_Osimps,axiom, % 219.21/219.50 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 219.21/219.50 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 219.21/219.50 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 219.21/219.50 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 219.21/219.50 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.50 & ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 219.21/219.50 => ? [B_xa] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 219.21/219.50 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_trans__diff__Id,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => ( c_Relation_Oantisym(T_b,V_r_2) % 219.21/219.50 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisym__empty,axiom, % 219.21/219.50 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisym__converse,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 219.21/219.50 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisym__Id,axiom, % 219.21/219.50 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisym__Id__on,axiom, % 219.21/219.50 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisym__subset,axiom, % 219.21/219.50 ! [V_s_2,V_r_2,T_b] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 219.21/219.50 => ( c_Relation_Oantisym(T_b,V_s_2) % 219.21/219.50 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisym__def,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Oantisym(T_b,V_r_2) % 219.21/219.50 <=> ! [B_x,B_y] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 219.21/219.50 => B_x = B_y ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisymD,axiom, % 219.21/219.50 ! [V_b_2,V_a_2,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Oantisym(T_b,V_r_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) % 219.21/219.50 => V_a_2 = V_b_2 ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_antisym__reflcl,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) % 219.21/219.50 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 219.21/219.50 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_fun__lub__def,axiom, % 219.21/219.50 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__trans__comp__subset,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_symD,axiom, % 219.21/219.50 ! [V_b_2,V_a_2,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__def,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 <=> ! [B_x,B_y] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__inv__image,axiom, % 219.21/219.50 ! [V_f_2,T_c,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__Int__converse,axiom, % 219.21/219.50 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__Int,axiom, % 219.21/219.50 ! [V_s_2,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => ( c_Relation_Osym(T_b,V_s_2) % 219.21/219.50 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__rtrancl,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__Id__on,axiom, % 219.21/219.50 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__trancl,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__Un,axiom, % 219.21/219.50 ! [V_s_2,V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => ( c_Relation_Osym(T_b,V_s_2) % 219.21/219.50 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__Id,axiom, % 219.21/219.50 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__conv__converse__eq,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__converse,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 219.21/219.50 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_listrel__sym,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_sym__Un__converse,axiom, % 219.21/219.50 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ). % 219.21/219.50 % 219.21/219.50 fof(fact_equiv__def,axiom, % 219.21/219.50 ! [V_r_2,V_A_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 219.21/219.50 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.21/219.50 & c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_equivI,axiom, % 219.21/219.50 ! [V_r_2,V_A_2,T_b] : % 219.21/219.50 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.21/219.50 => ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => ( c_Relation_Otrans(T_b,V_r_2) % 219.21/219.50 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_equivE,axiom, % 219.21/219.50 ! [V_r_2,V_A_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 219.21/219.50 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 219.21/219.50 => ( c_Relation_Osym(T_b,V_r_2) % 219.21/219.50 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_symp__def,axiom, % 219.21/219.50 ! [V_r_2,T_b] : % 219.21/219.50 ( c_Predicate_Osymp(T_b,V_r_2) % 219.21/219.50 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_part__equivpI,axiom, % 219.21/219.50 ! [T_b,V_R_2] : % 219.21/219.50 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 219.21/219.50 => ( c_Predicate_Osymp(T_b,V_R_2) % 219.21/219.50 => ( c_Predicate_Otransp(T_b,V_R_2) % 219.21/219.50 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_part__equivp__refl__symp__transp,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 219.21/219.50 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 219.21/219.50 & c_Predicate_Osymp(T_b,V_R_2) % 219.21/219.50 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_part__equivp__transp,axiom, % 219.21/219.50 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_part__equivp__symp,axiom, % 219.21/219.50 ! [V_y_2,V_x_2,V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 219.21/219.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 219.21/219.50 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_part__equivp__def,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 219.21/219.50 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 219.21/219.50 & ! [B_x,B_y] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 219.21/219.50 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 219.21/219.50 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 219.21/219.50 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_equivp__implies__part__equivp,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 219.21/219.50 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_part__equivpE,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 219.21/219.50 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 219.21/219.50 => ( c_Predicate_Osymp(T_b,V_R_2) % 219.21/219.50 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_part__equivp__typedef,axiom, % 219.21/219.50 ! [V_R_2,T_b] : % 219.21/219.50 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 219.21/219.50 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_fold__image__UN__disjoint,axiom, % 219.21/219.50 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 219.21/219.50 ( class_Groups_Ocomm__monoid__mult(T_d) % 219.21/219.50 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 219.21/219.50 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 219.21/219.50 => ( ! [B_x] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 219.21/219.50 => ! [B_xa] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 219.21/219.50 => ( B_x != B_xa % 219.21/219.50 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) % 219.21/219.50 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nat__of__cases,axiom, % 219.21/219.50 ! [V_y_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 219.21/219.50 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 219.21/219.50 % 219.21/219.50 fof(fact_nat__of__induct,axiom, % 219.21/219.50 ! [V_P_2,V_y_2] : % 219.21/219.50 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 219.21/219.51 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 219.21/219.51 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_of__nat__cases,axiom, % 219.21/219.51 ! [V_x_2] : % 219.21/219.51 ~ ! [B_y] : % 219.21/219.51 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 219.21/219.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_of__nat__induct,axiom, % 219.21/219.51 ! [V_x_2,V_P_2] : % 219.21/219.51 ( ! [B_y] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 219.21/219.51 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 219.21/219.51 => hBOOL(hAPP(V_P_2,V_x_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 219.21/219.51 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ). % 219.21/219.51 % 219.21/219.51 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 219.21/219.51 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ). % 219.21/219.51 % 219.21/219.51 fof(fact_Least__Suc2,axiom, % 219.21/219.51 ! [V_m_2,V_Q_2,V_n_2,V_P_2] : % 219.21/219.51 ( hBOOL(hAPP(V_P_2,V_n_2)) % 219.21/219.51 => ( hBOOL(hAPP(V_Q_2,V_m_2)) % 219.21/219.51 => ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 219.21/219.51 => ( ! [B_k] : % 219.21/219.51 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_OSuc,B_k))) % 219.21/219.51 <=> hBOOL(hAPP(V_Q_2,B_k)) ) % 219.21/219.51 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_P_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Q_2)) ) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_beyond__def,axiom, % 219.21/219.51 ! [V_l,V_k] : % 219.21/219.51 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 219.21/219.51 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 219.21/219.51 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 219.21/219.51 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_beyond__zero,axiom, % 219.21/219.51 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(fact_curry__def,axiom, % 219.21/219.51 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ). % 219.21/219.51 % 219.21/219.51 fof(fact_refl__on__UNION,axiom, % 219.21/219.51 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 219.21/219.51 ( ! [B_x] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 219.21/219.51 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 219.21/219.51 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_curryI,axiom, % 219.21/219.51 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 219.21/219.51 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_curry__split,axiom, % 219.21/219.51 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ). % 219.21/219.51 % 219.21/219.51 fof(fact_split__curry,axiom, % 219.21/219.51 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ). % 219.21/219.51 % 219.21/219.51 fof(fact_curry__conv,axiom, % 219.21/219.51 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ). % 219.21/219.51 % 219.21/219.51 fof(fact_curryD,axiom, % 219.21/219.51 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 219.21/219.51 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_curryE,axiom, % 219.21/219.51 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 219.21/219.51 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_bex__reg__eqv,axiom, % 219.21/219.51 ! [V_P_2,V_R_2,T_b] : % 219.21/219.51 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 219.21/219.51 => ( ? [B_x] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 219.21/219.51 & hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.51 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_wf__weak__decr__stable,axiom, % 219.21/219.51 ! [V_r_2,V_f_2,T_b] : % 219.21/219.51 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) % 219.21/219.51 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) % 219.21/219.51 => ? [B_i] : % 219.21/219.51 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_in__respects,axiom, % 219.21/219.51 ! [V_R_2,V_x_2,T_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 219.21/219.51 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_Respects__def,axiom, % 219.21/219.51 ! [V_x_2,V_R_2,T_b] : % 219.21/219.51 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 219.21/219.51 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_bex__reg__right,axiom, % 219.21/219.51 ! [V_P_2,V_Q_2,V_R_2,T_b] : % 219.21/219.51 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 219.21/219.51 => ( ! [B_x] : % 219.21/219.51 ( hBOOL(hAPP(V_Q_2,B_x)) % 219.21/219.51 => hBOOL(hAPP(V_P_2,B_x)) ) % 219.21/219.51 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1)) % 219.21/219.51 => ? [B_x] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 219.21/219.51 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_babs__reg__eqv,axiom, % 219.21/219.51 ! [V_P_2,T_c,V_R_2,T_b] : % 219.21/219.51 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 219.21/219.51 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_P_2) = V_P_2 ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_Babs__def,axiom, % 219.21/219.51 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 219.21/219.51 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_converse__rtranclE2,axiom, % 219.21/219.51 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 219.21/219.51 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2) % 219.21/219.51 => ~ ! [B_a,B_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2)) % 219.21/219.51 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_converse__rtrancl__induct2,axiom, % 219.21/219.51 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)) % 219.21/219.51 => ( ! [B_a,B_b,B_aa,B_ba] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2)) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)) % 219.21/219.51 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) ) % 219.21/219.51 => hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_rtrancl__induct2,axiom, % 219.21/219.51 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)) % 219.21/219.51 => ( ! [B_a,B_b] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) % 219.21/219.51 => ! [B_aa,B_ba] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2)) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) % 219.21/219.51 => hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)) ) ) ) % 219.21/219.51 => hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_congruent2I_H,axiom, % 219.21/219.51 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 219.21/219.51 ( ! [B_y1,B_z1] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2)) % 219.21/219.51 => ! [B_y2,B_z2] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2)) % 219.21/219.51 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 219.21/219.51 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_congruentI,axiom, % 219.21/219.51 ! [T_c,V_f_2,V_r_2,T_b] : % 219.21/219.51 ( ! [B_y,B_z] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2)) % 219.21/219.51 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 219.21/219.51 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact__03,axiom, % 219.21/219.51 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ). % 219.21/219.51 % 219.21/219.51 fof(fact__04,axiom, % 219.21/219.51 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ). % 219.21/219.51 % 219.21/219.51 fof(fact__05,axiom, % 219.21/219.51 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ). % 219.21/219.51 % 219.21/219.51 fof(fact_all__interval__nat__def,axiom, % 219.21/219.51 ! [V_j_2,V_i_2,V_P_2] : % 219.21/219.51 ( c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2) % 219.21/219.51 <=> ! [B_x] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2))) % 219.21/219.51 => hBOOL(hAPP(V_P_2,B_x)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact__06,axiom, % 219.21/219.51 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ). % 219.21/219.51 % 219.21/219.51 fof(fact__07,axiom, % 219.21/219.51 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ). % 219.21/219.51 % 219.21/219.51 fof(fact_list__all__iff__all__interval__nat,axiom, % 219.21/219.51 ! [V_j_2,V_i_2,V_P_2] : % 219.21/219.51 ( c_List_Olist__all(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2)) % 219.21/219.51 <=> c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_list__ex__iff__not__all__inverval__nat,axiom, % 219.21/219.51 ! [V_j_2,V_i_2,V_P_2] : % 219.21/219.51 ( c_List_Olist__ex(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2)) % 219.21/219.51 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_P_2),V_i_2,V_j_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_New__DSequence_Opos__map__def,axiom, % 219.21/219.51 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ). % 219.21/219.51 % 219.21/219.51 fof(fact_folding__image_Ocong,axiom, % 219.21/219.51 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 219.21/219.51 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 219.21/219.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 219.21/219.51 => ( ! [B_x] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 219.21/219.51 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 219.21/219.51 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_power__dvd__imp__le,axiom, % 219.21/219.51 ! [V_n,V_m,V_i] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_finite__nonempty__imp__fold1Set,axiom, % 219.21/219.51 ! [V_f_2,V_A_2,T_b] : % 219.21/219.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 219.21/219.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 219.21/219.51 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),B_x1)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_Oorder__refl,axiom, % 219.21/219.51 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__0__right,axiom, % 219.21/219.51 ! [V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__1__left,axiom, % 219.21/219.51 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ). % 219.21/219.51 % 219.21/219.51 fof(fact_unity__coeff__ex,axiom, % 219.21/219.51 ! [V_l_2,V_P_2,T_b] : % 219.21/219.51 ( ( class_Rings_Odvd(T_b) % 219.21/219.51 & class_Rings_Osemiring__0(T_b) ) % 219.21/219.51 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x))) % 219.21/219.51 <=> ? [B_x] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b)))) % 219.21/219.51 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__mult__div__cancel,axiom, % 219.21/219.51 ! [V_b,V_a,T_a] : % 219.21/219.51 ( class_Divides_Osemiring__div(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 219.21/219.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_div__mult__swap,axiom, % 219.21/219.51 ! [V_a,V_b,V_c,T_a] : % 219.21/219.51 ( class_Divides_Osemiring__div(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 219.21/219.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__div__mult__self,axiom, % 219.21/219.51 ! [V_b,V_a,T_a] : % 219.21/219.51 ( class_Divides_Osemiring__div(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 219.21/219.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__div__mult,axiom, % 219.21/219.51 ! [V_c,V_b,V_a,T_a] : % 219.21/219.51 ( class_Divides_Osemiring__div(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 219.21/219.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_div__mult__div__if__dvd,axiom, % 219.21/219.51 ! [V_w,V_z,V_x,V_y,T_a] : % 219.21/219.51 ( class_Divides_Osemiring__div(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w)) % 219.21/219.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__mult__cancel__left,axiom, % 219.21/219.51 ! [V_b_2,V_a_2,V_c_2,T_b] : % 219.21/219.51 ( class_Rings_Oidom(T_b) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2))) % 219.21/219.51 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__mult__cancel__right,axiom, % 219.21/219.51 ! [V_b_2,V_c_2,V_a_2,T_b] : % 219.21/219.51 ( class_Rings_Oidom(T_b) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2))) % 219.21/219.51 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__mult__right,axiom, % 219.21/219.51 ! [V_c,V_b,V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__mult__left,axiom, % 219.21/219.51 ! [V_c,V_b,V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvdI,axiom, % 219.21/219.51 ! [V_k,V_b,V_a,T_a] : % 219.21/219.51 ( class_Rings_Odvd(T_a) % 219.21/219.51 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_mult__dvd__mono,axiom, % 219.21/219.51 ! [V_d,V_c,V_b,V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d)) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__mult,axiom, % 219.21/219.51 ! [V_b,V_c,V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__mult2,axiom, % 219.21/219.51 ! [V_c,V_b,V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__triv__right,axiom, % 219.21/219.51 ! [V_b,V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__triv__left,axiom, % 219.21/219.51 ! [V_b,V_a,T_a] : % 219.21/219.51 ( class_Rings_Ocomm__semiring__1(T_a) % 219.21/219.51 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 219.21/219.51 ! [V_n_2,V_m_2,V_k_2] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))) % 219.21/219.51 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_inf__period_I3_J,axiom, % 219.21/219.51 ! [V_t_2,V_D_2,V_d_2,T_b] : % 219.21/219.51 ( ( class_Rings_Ocomm__ring(T_b) % 219.21/219.51 & class_Rings_Odvd(T_b) ) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 219.21/219.51 => ! [B_x,B_k] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 219.21/219.51 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_inf__period_I4_J,axiom, % 219.21/219.51 ! [V_t_2,V_D_2,V_d_2,T_b] : % 219.21/219.51 ( ( class_Rings_Ocomm__ring(T_b) % 219.21/219.51 & class_Rings_Odvd(T_b) ) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 219.21/219.51 => ! [B_x,B_k] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2))) % 219.21/219.51 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__div__div__eq__mult,axiom, % 219.21/219.51 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] : % 219.21/219.51 ( class_Divides_Osemiring__div(T_b) % 219.21/219.51 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 219.21/219.51 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2)) % 219.21/219.51 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2) % 219.21/219.51 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd__div__eq__mult,axiom, % 219.21/219.51 ! [V_c_2,V_b_2,V_a_2,T_b] : % 219.21/219.51 ( class_Divides_Osemiring__div(T_b) % 219.21/219.51 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 219.21/219.51 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 219.21/219.51 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2 % 219.21/219.51 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 219.21/219.51 ! [V_c_2,V_b_2,V_a_2] : % 219.21/219.51 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) % 219.21/219.51 <=> ( V_a_2 = V_b_2 % 219.21/219.51 & V_b_2 = V_c_2 ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 219.21/219.51 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 219.21/219.51 ! [V_b_2,V_a_2] : % 219.21/219.51 ( V_a_2 = V_b_2 % 219.21/219.51 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OgreaterThanAtMost__empty,axiom, % 219.21/219.51 ! [V_k_2,V_l_2] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 219.21/219.51 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OatLeastLessThan__empty,axiom, % 219.21/219.51 ! [V_a_2,V_b_2] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 219.21/219.51 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OgreaterThanLessThan__empty,axiom, % 219.21/219.51 ! [V_k_2,V_l_2] : % 219.21/219.51 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 219.21/219.51 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom, % 219.21/219.51 ! [V_l_2,V_k_2] : % 219.21/219.51 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 219.21/219.51 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 219.21/219.51 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom, % 219.21/219.51 ! [V_b_2,V_a_2] : % 219.21/219.51 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 219.21/219.51 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 219.21/219.51 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 219.21/219.51 % 219.21/219.51 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom, % 219.21/219.51 ! [V_l_2,V_k_2] : % 219.21/219.51 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) % 219.21/219.51 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 219.21/219.51 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 219.21/219.51 % 219.21/219.51 %----Arity declarations (220) % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 219.21/219.51 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Obounded__lattice(T_1) % 219.21/219.51 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 219.21/219.51 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Obounded__lattice(T_1) % 219.21/219.51 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Obounded__lattice(T_1) % 219.21/219.51 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Olattice(T_1) % 219.21/219.51 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Olattice(T_1) % 219.21/219.51 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Odistrib__lattice(T_1) % 219.21/219.51 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Oboolean__algebra(T_1) % 219.21/219.51 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Orderings_Opreorder,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Orderings_Opreorder(T_1) % 219.21/219.51 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Finite__Set_Ofinite,axiom, % 219.21/219.51 ! [T_1,T_2] : % 219.21/219.51 ( ( class_Finite__Set_Ofinite(T_2) % 219.21/219.51 & class_Finite__Set_Ofinite(T_1) ) % 219.21/219.51 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Lattices_Olattice,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Lattices_Olattice(T_1) % 219.21/219.51 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Orderings_Oorder,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Orderings_Oorder(T_1) % 219.21/219.51 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Orderings_Otop,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Orderings_Otop(T_1) % 219.21/219.51 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Orderings_Oord,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Orderings_Oord(T_1) % 219.21/219.51 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Orderings_Obot,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Orderings_Obot(T_1) % 219.21/219.51 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Groups_Ouminus,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Groups_Ouminus(T_1) % 219.21/219.51 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Groups_Ominus,axiom, % 219.21/219.51 ! [T_2,T_1] : % 219.21/219.51 ( class_Groups_Ominus(T_1) % 219.21/219.51 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_fun__Enum_Oenum,axiom, % 219.21/219.51 ! [T_1,T_2] : % 219.21/219.51 ( ( class_Enum_Oenum(T_2) % 219.21/219.51 & class_Enum_Oenum(T_1) ) % 219.21/219.51 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 219.21/219.51 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 219.21/219.51 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 219.21/219.51 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 219.21/219.51 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 219.21/219.51 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 219.21/219.51 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 219.21/219.51 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 219.21/219.51 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 219.21/219.51 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 219.21/219.51 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 219.21/219.51 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 219.21/219.51 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 219.21/219.51 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 219.21/219.51 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 219.21/219.51 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 219.21/219.51 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 219.21/219.51 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 219.21/219.51 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 219.21/219.51 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 219.21/219.51 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 219.21/219.51 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 219.21/219.51 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 219.21/219.51 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 219.21/219.51 class_Divides_Osemiring__div(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 219.21/219.51 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 219.21/219.51 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 219.21/219.51 class_Groups_Oab__group__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 219.21/219.51 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 219.21/219.51 class_Rings_Oordered__ring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 219.21/219.51 class_Orderings_Opreorder(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 219.21/219.51 class_Orderings_Olinorder(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 219.21/219.51 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 219.21/219.51 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 219.21/219.51 class_Groups_Omonoid__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 219.21/219.51 class_Rings_Osemiring__1(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 219.21/219.51 class_Rings_Osemiring__0(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 219.21/219.51 class_Lattices_Olattice(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 219.21/219.51 class_Groups_Ogroup__add(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 219.21/219.51 class_Divides_Oring__div(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 219.21/219.51 class_Rings_Omult__zero(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 219.21/219.51 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 219.21/219.51 class_Orderings_Oorder(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 219.21/219.51 class_Int_Oring__char__0(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 219.21/219.51 class_Int_Onumber__ring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 219.21/219.51 class_Rings_Osemiring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Orderings_Oord,axiom, % 219.21/219.51 class_Orderings_Oord(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 219.21/219.51 class_Groups_Ouminus(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 219.21/219.51 class_Groups_Osgn__if(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 219.21/219.51 class_Groups_Oabs__if(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 219.21/219.51 class_Rings_Oring__1(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ominus,axiom, % 219.21/219.51 class_Groups_Ominus(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Power_Opower,axiom, % 219.21/219.51 class_Power_Opower(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Ozero,axiom, % 219.21/219.51 class_Groups_Ozero(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oring,axiom, % 219.21/219.51 class_Rings_Oring(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Oidom,axiom, % 219.21/219.51 class_Rings_Oidom(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Int_Onumber,axiom, % 219.21/219.51 class_Int_Onumber(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Groups_Oone,axiom, % 219.21/219.51 class_Groups_Oone(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Int__Oint__Rings_Odvd,axiom, % 219.21/219.51 class_Rings_Odvd(tc_Int_Oint) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 219.21/219.51 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 219.21/219.51 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 219.21/219.51 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 219.21/219.51 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 219.21/219.51 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 219.21/219.51 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 219.21/219.51 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 219.21/219.51 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 219.21/219.51 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 219.21/219.51 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 219.21/219.51 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 219.21/219.51 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 219.21/219.51 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 219.21/219.51 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 219.21/219.51 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 219.21/219.51 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 219.21/219.51 class_Orderings_Owellorder(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 219.21/219.51 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 219.21/219.51 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 219.21/219.51 class_Orderings_Opreorder(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 219.21/219.51 class_Orderings_Olinorder(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 219.21/219.51 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 219.21/219.51 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 219.21/219.51 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 219.21/219.51 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 219.21/219.51 class_Lattices_Olattice(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 219.21/219.51 class_Rings_Omult__zero(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 219.21/219.51 class_Orderings_Oorder(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 219.21/219.51 class_Rings_Osemiring(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 219.21/219.51 class_Orderings_Oord(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 219.21/219.51 class_Orderings_Obot(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 219.21/219.51 class_Groups_Ominus(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Power_Opower,axiom, % 219.21/219.51 class_Power_Opower(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 219.21/219.51 class_Groups_Ozero(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Int_Onumber,axiom, % 219.21/219.51 class_Int_Onumber(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Groups_Oone,axiom, % 219.21/219.51 class_Groups_Oone(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 219.21/219.51 class_Rings_Odvd(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nat__Onat__Nat_Osize,axiom, % 219.21/219.51 class_Nat_Osize(tc_Nat_Onat) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 219.21/219.51 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 219.21/219.51 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 219.21/219.51 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 219.21/219.51 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 219.21/219.51 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 219.21/219.51 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 219.21/219.51 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 219.21/219.51 class_Orderings_Opreorder(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 219.21/219.51 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 219.21/219.51 class_Lattices_Olattice(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 219.21/219.51 class_Orderings_Oorder(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 219.21/219.51 class_Orderings_Otop(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 219.21/219.51 class_Orderings_Oord(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 219.21/219.51 class_Orderings_Obot(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 219.21/219.51 class_Groups_Ouminus(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 219.21/219.51 class_Groups_Ominus(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 219.21/219.51 class_Enum_Oenum(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_HOL__Obool__Nat_Osize,axiom, % 219.21/219.51 class_Nat_Osize(tc_HOL_Obool) ). % 219.21/219.51 % 219.21/219.51 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 219.21/219.51 ! [T_1] : % 219.21/219.51 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 219.21/219.51 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_List__Olist__Nat_Osize,axiom, % 219.21/219.51 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 219.21/219.51 % 219.21/219.51 fof(arity_sum__Finite__Set_Ofinite,axiom, % 219.21/219.51 ! [T_1,T_2] : % 219.21/219.51 ( ( class_Finite__Set_Ofinite(T_2) % 219.21/219.51 & class_Finite__Set_Ofinite(T_1) ) % 219.21/219.51 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_sum__Enum_Oenum,axiom, % 219.21/219.51 ! [T_1,T_2] : % 219.21/219.51 ( ( class_Enum_Oenum(T_2) % 219.21/219.51 & class_Enum_Oenum(T_1) ) % 219.21/219.51 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_sum__Nat_Osize,axiom, % 219.21/219.51 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 219.21/219.51 ! [T_1] : % 219.21/219.51 ( class_Finite__Set_Ofinite(T_1) % 219.21/219.51 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 219.21/219.51 ! [T_1] : % 219.21/219.51 ( class_Enum_Oenum(T_1) % 219.21/219.51 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Option__Ooption__Nat_Osize,axiom, % 219.21/219.51 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 219.21/219.51 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 219.21/219.51 % 219.21/219.51 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 219.21/219.51 ! [T_1,T_2] : % 219.21/219.51 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 219.21/219.51 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 219.21/219.51 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_prod__Finite__Set_Ofinite,axiom, % 219.21/219.51 ! [T_1,T_2] : % 219.21/219.51 ( ( class_Finite__Set_Ofinite(T_2) % 219.21/219.51 & class_Finite__Set_Ofinite(T_1) ) % 219.21/219.51 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_prod__Enum_Oenum,axiom, % 219.21/219.51 ! [T_1,T_2] : % 219.21/219.51 ( ( class_Enum_Oenum(T_2) % 219.21/219.51 & class_Enum_Oenum(T_1) ) % 219.21/219.51 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 219.21/219.51 % 219.21/219.51 fof(arity_prod__Nat_Osize,axiom, % 219.21/219.51 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 219.21/219.51 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 219.21/219.51 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 219.21/219.51 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 219.21/219.51 class_Nat_Osize(tc_Product__Type_Ounit) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 219.21/219.51 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 219.21/219.51 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 219.21/219.51 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 219.21/219.51 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 219.21/219.51 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 219.21/219.51 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 219.21/219.51 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 219.21/219.51 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 219.21/219.51 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 219.21/219.51 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 219.21/219.51 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 219.21/219.51 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 219.21/219.51 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 219.21/219.51 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 219.21/219.51 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 219.21/219.51 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 219.21/219.51 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 219.21/219.51 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 219.21/219.51 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 219.21/219.51 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 219.21/219.51 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 219.21/219.51 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 219.21/219.51 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 219.21/219.51 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 219.21/219.51 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 219.21/219.51 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 219.21/219.51 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 219.21/219.51 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 219.21/219.51 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 219.21/219.51 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 219.21/219.51 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 219.21/219.51 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 219.21/219.51 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 219.21/219.51 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 219.21/219.51 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 219.21/219.51 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 219.21/219.51 % 219.21/219.51 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 219.21/219.51 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 219.21/219.51 % 219.21/219.51 %----Helper facts (20) % 219.21/219.51 fof(help_c__COMBI__1,axiom, % 219.21/219.51 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 219.21/219.51 % 219.21/219.51 fof(help_c__COMBK__1,axiom, % 219.21/219.51 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 219.21/219.51 % 219.21/219.51 fof(help_c__COMBB__1,axiom, % 219.21/219.51 ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__COMBC__1,axiom, % 219.21/219.51 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__COMBS__1,axiom, % 219.21/219.51 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fequal__1,axiom, % 219.21/219.51 ! [V_y_2,V_x_2] : % 219.21/219.51 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 219.21/219.51 | V_x_2 = V_y_2 ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fequal__2,axiom, % 219.21/219.51 ! [V_y_2,V_x_2] : % 219.21/219.51 ( V_x_2 != V_y_2 % 219.21/219.51 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fFalse__1,axiom, % 219.21/219.51 ~ hBOOL(c_fFalse) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fTrue__1,axiom, % 219.21/219.51 hBOOL(c_fTrue) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fNot__1,axiom, % 219.21/219.51 ! [V_P_2] : % 219.21/219.51 ( ~ hBOOL(hAPP(c_fNot,V_P_2)) % 219.21/219.51 | ~ hBOOL(V_P_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fNot__2,axiom, % 219.21/219.51 ! [V_P_2] : % 219.21/219.51 ( ~ ~ hBOOL(V_P_2) % 219.21/219.51 | hBOOL(hAPP(c_fNot,V_P_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fconj__1,axiom, % 219.21/219.51 ! [V_Q_2,V_P_2] : % 219.21/219.51 ( ~ hBOOL(V_P_2) % 219.21/219.51 | ~ hBOOL(V_Q_2) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fconj__2,axiom, % 219.21/219.51 ! [V_Q_2,V_P_2] : % 219.21/219.51 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 219.21/219.51 | hBOOL(V_P_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fconj__3,axiom, % 219.21/219.51 ! [V_Q_2,V_P_2] : % 219.21/219.51 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) % 219.21/219.51 | hBOOL(V_Q_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fdisj__1,axiom, % 219.21/219.51 ! [V_Q_2,V_P_2] : % 219.21/219.51 ( ~ hBOOL(V_P_2) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fdisj__2,axiom, % 219.21/219.51 ! [V_P_2,V_Q_2] : % 219.21/219.51 ( ~ hBOOL(V_Q_2) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fdisj__3,axiom, % 219.21/219.51 ! [V_Q_2,V_P_2] : % 219.21/219.51 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) % 219.21/219.51 | hBOOL(V_P_2) % 219.21/219.51 | hBOOL(V_Q_2) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fimplies__1,axiom, % 219.21/219.51 ! [V_Q_2,V_P_2] : % 219.21/219.51 ( hBOOL(V_P_2) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fimplies__2,axiom, % 219.21/219.51 ! [V_P_2,V_Q_2] : % 219.21/219.51 ( ~ hBOOL(V_Q_2) % 219.21/219.51 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ). % 219.21/219.51 % 219.21/219.51 fof(help_c__fimplies__3,axiom, % 219.21/219.51 ! [V_Q_2,V_P_2] : % 219.21/219.51 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) % 219.21/219.51 | ~ hBOOL(V_P_2) % 219.21/219.51 | hBOOL(V_Q_2) ) ). % 219.21/219.51 % 219.21/219.51 %----Conjectures (3) % 219.21/219.51 fof(conj_0,hypothesis, % 219.21/219.51 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)) ). % 219.21/219.51 % 219.21/219.51 fof(conj_1,hypothesis, % 219.21/219.51 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)) ). % 219.21/219.51 % 219.21/219.51 fof(conj_2,conjecture, % 219.21/219.51 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts) ). % 219.21/219.51 % 219.21/219.51 %------------------------------------------------------------------------------ % 219.21/219.51 %------------------------------------------- % 219.21/219.51 % Proof found % 219.21/219.51 % SZS status Theorem for theBenchmark % 219.21/219.51 % SZS output start Proof % 219.21/219.51 %ClaNum:10533(EqnAxiom:3176) % 219.21/219.51 %VarNum:71750(SingletonVarNum:20636) % 219.21/219.51 %MaxLitNum:8 % 219.21/219.51 %MaxfuncDepth:13 % 219.21/219.51 %SharedTerms:995 % 219.21/219.51 %goalClause: 4728 % 219.21/219.51 %singleGoalClaCount:1 % 219.21/219.51 [3180]P1(a179) % 219.21/219.51 [3181]P2(a923) % 219.21/219.51 [3182]P2(a925) % 219.21/219.51 [3183]P2(a1) % 219.21/219.51 [3184]P2(a91) % 219.21/219.51 [3185]P3(a923) % 219.21/219.51 [3186]P3(a925) % 219.21/219.51 [3187]P3(a1) % 219.21/219.51 [3188]P3(a91) % 219.21/219.51 [3189]P4(a925) % 219.21/219.51 [3190]P4(a1) % 219.21/219.51 [3191]P4(a91) % 219.21/219.51 [3192]P113(a923) % 219.21/219.51 [3193]P113(a925) % 219.21/219.51 [3194]P113(a1) % 219.21/219.51 [3195]P113(a91) % 219.21/219.51 [3196]P5(a923) % 219.21/219.51 [3197]P5(a928) % 219.21/219.51 [3198]P114(a925) % 219.21/219.51 [3199]P6(a923) % 219.21/219.51 [3200]P67(a923) % 219.21/219.51 [3201]P67(a1) % 219.21/219.51 [3202]P96(a923) % 219.21/219.51 [3203]P68(a1) % 219.21/219.51 [3204]P69(a1) % 219.21/219.51 [3205]P102(a923) % 219.21/219.51 [3206]P102(a925) % 219.21/219.51 [3207]P102(a1) % 219.21/219.51 [3208]P107(a923) % 219.21/219.51 [3209]P107(a925) % 219.21/219.51 [3210]P107(a1) % 219.21/219.51 [3211]P108(a923) % 219.21/219.51 [3212]P108(a925) % 219.21/219.51 [3213]P108(a1) % 219.21/219.51 [3214]P103(a923) % 219.21/219.51 [3215]P115(a923) % 219.21/219.51 [3216]P106(a923) % 219.21/219.51 [3217]P106(a925) % 219.21/219.51 [3218]P106(a1) % 219.21/219.51 [3219]P109(a923) % 219.21/219.51 [3220]P109(a925) % 219.21/219.51 [3221]P104(a923) % 219.21/219.51 [3222]P70(a1) % 219.21/219.51 [3223]P83(a923) % 219.21/219.51 [3224]P83(a925) % 219.21/219.51 [3225]P83(a1) % 219.21/219.51 [3226]P83(a91) % 219.21/219.51 [3227]P76(a925) % 219.21/219.51 [3228]P76(a1) % 219.21/219.51 [3229]P76(a91) % 219.21/219.51 [3230]P116(a1) % 219.21/219.51 [3231]P117(a1) % 219.21/219.51 [3232]P71(a923) % 219.21/219.51 [3233]P71(a928) % 219.21/219.51 [3234]P126(a1) % 219.21/219.51 [3235]P78(a925) % 219.21/219.51 [3236]P78(a1) % 219.21/219.51 [3237]P78(a91) % 219.21/219.51 [3238]P86(a925) % 219.21/219.51 [3239]P86(a1) % 219.21/219.51 [3240]P86(a91) % 219.21/219.51 [3241]P79(a925) % 219.21/219.51 [3242]P79(a1) % 219.21/219.51 [3243]P79(a91) % 219.21/219.51 [3244]P87(a925) % 219.21/219.51 [3245]P87(a1) % 219.21/219.51 [3246]P87(a91) % 219.21/219.51 [3247]P143(a925) % 219.21/219.51 [3248]P143(a1) % 219.21/219.51 [3249]P143(a91) % 219.21/219.51 [3250]P129(a925) % 219.21/219.51 [3251]P129(a1) % 219.21/219.51 [3252]P129(a91) % 219.21/219.51 [3253]P144(a1) % 219.21/219.51 [3254]P118(a1) % 219.21/219.51 [3255]P121(a925) % 219.21/219.51 [3256]P121(a1) % 219.21/219.51 [3257]P121(a91) % 219.21/219.51 [3258]P89(a925) % 219.21/219.51 [3259]P89(a1) % 219.21/219.51 [3260]P89(a91) % 219.21/219.51 [3261]P148(a925) % 219.21/219.51 [3262]P148(a1) % 219.21/219.51 [3263]P80(a925) % 219.21/219.51 [3264]P80(a1) % 219.21/219.51 [3265]P80(a91) % 219.21/219.51 [3266]P81(a925) % 219.21/219.51 [3267]P81(a1) % 219.21/219.51 [3268]P81(a91) % 219.21/219.51 [3269]P77(a925) % 219.21/219.51 [3270]P77(a1) % 219.21/219.51 [3271]P77(a91) % 219.21/219.51 [3272]P90(a925) % 219.21/219.51 [3273]P90(a1) % 219.21/219.51 [3274]P90(a91) % 219.21/219.51 [3275]P91(a925) % 219.21/219.51 [3276]P91(a1) % 219.21/219.51 [3277]P91(a91) % 219.21/219.51 [3278]P146(a925) % 219.21/219.51 [3279]P146(a1) % 219.21/219.51 [3280]P146(a91) % 219.21/219.51 [3281]P122(a925) % 219.21/219.51 [3282]P122(a1) % 219.21/219.51 [3283]P122(a91) % 219.21/219.51 [3284]P132(a1) % 219.21/219.51 [3285]P149(a925) % 219.21/219.51 [3286]P149(a1) % 219.21/219.51 [3287]P149(a91) % 219.21/219.51 [3288]P110(a925) % 219.21/219.51 [3289]P110(a1) % 219.21/219.51 [3290]P110(a91) % 219.21/219.51 [3291]P97(a925) % 219.21/219.51 [3292]P97(a1) % 219.21/219.51 [3293]P97(a91) % 219.21/219.51 [3294]P88(a925) % 219.21/219.51 [3295]P88(a1) % 219.21/219.51 [3296]P88(a91) % 219.21/219.51 [3297]P84(a1) % 219.21/219.51 [3298]P133(a925) % 219.21/219.51 [3299]P133(a1) % 219.21/219.51 [3300]P133(a91) % 219.21/219.51 [3301]P147(a1) % 219.21/219.51 [3302]P138(a925) % 219.21/219.51 [3303]P138(a1) % 219.21/219.51 [3304]P138(a91) % 219.21/219.51 [3305]P150(a925) % 219.21/219.51 [3306]P150(a1) % 219.21/219.51 [3307]P150(a91) % 219.21/219.51 [3308]P93(a925) % 219.21/219.51 [3309]P93(a1) % 219.21/219.51 [3310]P93(a91) % 219.21/219.51 [3311]P139(a925) % 219.21/219.51 [3312]P139(a1) % 219.21/219.51 [3313]P139(a91) % 219.21/219.51 [3314]P141(a925) % 219.21/219.51 [3315]P141(a1) % 219.21/219.51 [3316]P141(a91) % 219.21/219.51 [3317]P140(a925) % 219.21/219.51 [3318]P140(a1) % 219.21/219.51 [3319]P140(a91) % 219.21/219.51 [3320]P130(a1) % 219.21/219.51 [3321]P131(a1) % 219.21/219.51 [3322]P127(a925) % 219.21/219.51 [3323]P127(a1) % 219.21/219.51 [3324]P127(a91) % 219.21/219.51 [3325]P134(a925) % 219.21/219.51 [3326]P134(a1) % 219.21/219.51 [3327]P134(a91) % 219.21/219.51 [3328]P135(a925) % 219.21/219.51 [3329]P135(a1) % 219.21/219.51 [3330]P135(a91) % 219.21/219.51 [3331]P145(a1) % 219.21/219.51 [3332]P136(a1) % 219.21/219.51 [3333]P137(a1) % 219.21/219.51 [3334]P98(a1) % 219.21/219.51 [3335]P94(a1) % 219.21/219.51 [3336]P92(a1) % 219.21/219.51 [3337]P142(a1) % 219.21/219.51 [3338]P82(a1) % 219.21/219.51 [3339]P85(a925) % 219.21/219.51 [3340]P85(a1) % 219.21/219.51 [3341]P85(a91) % 219.21/219.51 [3342]P119(a925) % 219.21/219.51 [3343]P119(a1) % 219.21/219.51 [3344]P119(a91) % 219.21/219.51 [3345]P65(a925) % 219.21/219.51 [3346]P65(a1) % 219.21/219.51 [3347]P65(a91) % 219.21/219.51 [3348]P66(a1) % 219.21/219.51 [3349]P99(a1) % 219.21/219.51 [3350]P100(a925) % 219.21/219.51 [3351]P100(a1) % 219.21/219.51 [3352]P100(a91) % 219.21/219.51 [3353]P95(a925) % 219.21/219.51 [3354]P95(a1) % 219.21/219.51 [3355]P95(a91) % 219.21/219.51 [3356]P112(a923) % 219.21/219.51 [3357]P112(a925) % 219.21/219.51 [3358]P112(a928) % 219.21/219.51 [3359]P112(a91) % 219.21/219.51 [3360]P112(a315) % 219.21/219.51 [3361]P111(a1) % 219.21/219.51 [3362]P111(a928) % 219.21/219.51 [3363]P123(a925) % 219.21/219.51 [3364]P123(a1) % 219.21/219.51 [3365]P123(a91) % 219.21/219.51 [3366]P120(a1) % 219.21/219.51 [3367]P105(a923) % 219.21/219.51 [3382]P38(a925,a232) % 219.21/219.51 [3383]P38(a925,a309) % 219.21/219.51 [3384]P39(a925,a232) % 219.21/219.51 [3464]P41(a925,a925,a104) % 219.21/219.51 [4712]~E(a89,a77) % 219.21/219.51 [4713]~P1(a231) % 219.21/219.51 [4728]~P25(a922,a936,a934) % 219.21/219.51 [3177]E(f2(a1),a77) % 219.21/219.51 [3178]E(f92(a91),a3) % 219.21/219.51 [3179]E(f23(a91),a24) % 219.21/219.51 [3368]E(f180(a925),f2(a925)) % 219.21/219.51 [3369]E(f93(a925),f224(a925)) % 219.21/219.51 [3370]E(f102(a925),f225(a925)) % 219.21/219.51 [3371]E(f94(a1),f25(a1)) % 219.21/219.51 [3372]E(f78(a231),f2(a925)) % 219.21/219.51 [3373]E(f78(a179),f2(a925)) % 219.21/219.51 [3374]P7(f72(a1)) % 219.21/219.51 [3375]P7(f2(a1)) % 219.21/219.51 [3430]P38(f931(a925,a925),a26) % 219.21/219.51 [3773]E(f312(a925,a925,a232,a232),a26) % 219.21/219.51 [4714]~E(f72(a1),f2(a1)) % 219.21/219.51 [3376]E(f4(f2(a91)),f2(a925)) % 219.21/219.51 [3377]E(f103(f2(a925)),f2(a925)) % 219.21/219.51 [3386]E(f319(f73(a1),a77),a77) % 219.21/219.51 [3389]E(f319(a104,f2(a925)),f72(a925)) % 219.21/219.51 [3390]E(f319(a96,f72(a1)),f72(a925)) % 219.21/219.51 [3391]E(f319(a3,f72(a925)),f72(a91)) % 219.21/219.51 [3393]E(f319(a3,f2(a925)),f2(a91)) % 219.21/219.51 [3395]E(f319(f95(a1),a77),f2(a1)) % 219.21/219.51 [3396]E(f319(f95(a91),a77),f2(a91)) % 219.21/219.51 [3397]E(f319(a96,f2(a1)),f2(a925)) % 219.21/219.51 [3398]E(f319(f95(a925),a77),f2(a925)) % 219.21/219.51 [3399]E(f319(f181(a923),a231),f2(a925)) % 219.21/219.51 [3400]E(f319(f181(a923),a179),f2(a925)) % 219.21/219.51 [3406]E(f319(f73(a1),f72(a1)),a89) % 219.21/219.51 [3413]E(f319(f73(a1),f2(a1)),f2(a1)) % 219.21/219.51 [3414]E(f319(f92(a1),f72(a925)),f72(a1)) % 219.21/219.51 [3415]E(f319(f92(a1),f2(a925)),f2(a1)) % 219.21/219.51 [3417]E(f319(f181(a91),f2(a91)),f2(a925)) % 219.21/219.51 [3427]E(f319(a96,f72(a1)),f319(a104,f2(a925))) % 219.21/219.51 [3428]E(f310(f931(a925,a925),a26),a27) % 219.21/219.51 [3429]E(f311(f931(a925,a925),a26),a28) % 219.21/219.51 [3456]E(f319(f274(a925),f2(a925)),f180(f932(a925,a923))) % 219.21/219.51 [3457]E(f319(f275(a925),f2(a925)),f234(f932(a925,a923))) % 219.21/219.51 [3466]P42(f180(f932(a1,a923))) % 219.21/219.51 [3500]E(f319(f319(f23(a91),f2(a91)),f72(a91)),f2(a91)) % 219.21/219.51 [3575]P1(f319(f319(f227(a1),a89),f2(a1))) % 219.21/219.51 [3599]P1(f319(f319(f226(a1),f2(a1)),f72(a1))) % 219.21/219.51 [3601]P1(f319(f319(f227(a1),f2(a1)),f72(a1))) % 219.21/219.51 [3804]E(f319(f319(f281(a925,a925,a925),a309),f299(a925,a309)),a232) % 219.21/219.51 [3841]P43(a1,a925,a96,f319(f226(a1),f2(a1))) % 219.21/219.51 [3845]E(f319(f319(f33(a925,f932(a925,a923)),f234(f932(a925,a923))),f274(a925)),f234(f932(a925,a923))) % 219.21/219.51 [3846]E(f319(f319(f33(a925,f932(a925,a923)),f234(f932(a925,a923))),f275(a925)),f234(f932(a925,a923))) % 219.21/219.51 [3847]E(f319(f319(f33(a925,f932(a925,a923)),f234(f932(a925,a923))),f293(a925)),f234(f932(a925,a923))) % 219.21/219.51 [3848]E(f319(f319(f34(a925,f932(a925,a923)),f234(f932(a925,a923))),f296(a925)),f180(f932(a925,a923))) % 219.21/219.51 [3863]P26(a925,a1,f92(a1),f234(f932(a925,a923))) % 219.21/219.51 [3877]P43(a925,a1,f92(a1),f319(f16(a923,a925),a179)) % 219.21/219.51 [4014]E(f319(f66(a925,a91,a1,a3),a96),f95(a91)) % 219.21/219.51 [4233]P61(a91,a925,a20,a3,f234(f932(a925,a923))) % 219.21/219.51 [4238]P61(a1,f932(f931(a925,a925),a923),a99,a83,a90) % 219.21/219.51 [4492]E(f250(a1,a1,a1,a1,f25(a1),f73(a1)),a45) % 219.21/219.51 [4723]~E(f319(f95(a1),a89),f319(f95(a1),a77)) % 219.21/219.51 [4724]~P1(f319(a185,f72(a1))) % 219.21/219.51 [4725]~P1(f319(a185,f2(a1))) % 219.21/219.51 [4751]~P1(f319(f319(f227(a1),a77),f2(a1))) % 219.21/219.51 [3448]E(f319(f319(f23(a1),a89),a89),a77) % 219.21/219.51 [3463]E(f319(f92(a1),f319(a104,f2(a925))),f72(a1)) % 219.21/219.51 [3529]E(f319(f29(a928),f234(f932(a928,a923))),f72(a925)) % 219.21/219.51 [3549]P1(f319(a185,f319(f95(a1),a89))) % 219.21/219.51 [3551]P1(f319(f319(f226(a1),a89),a77)) % 219.21/219.51 [3553]P1(f319(f319(f227(a1),a89),a77)) % 219.21/219.51 [3609]E(f319(f319(f301(a925),f2(a925)),f180(f932(a925,a923))),f319(f293(a925),f2(a925))) % 219.21/219.51 [3664]P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),a77))) % 219.21/219.51 [3676]E(f319(f302(a925,a925,a104),f234(f932(a925,a923))),f319(f296(a925),f2(a925))) % 219.21/219.51 [3711]P9(f931(a925,a925),f234(f932(f931(a925,a925),a923)),a100) % 219.21/219.51 [4021]E(f319(f66(a925,a1,a91,f92(a1)),a20),a22) % 219.21/219.51 [4080]P38(a925,f319(f254(f931(a925,a925)),f319(f249(a925,a925,a923),f227(a925)))) % 219.21/219.51 [4742]~P1(f319(a185,f319(f95(a1),a77))) % 219.21/219.51 [4743]~P1(f319(f319(f226(a1),a77),a89)) % 219.21/219.51 [4744]~P1(f319(f319(f227(a1),a77),a77)) % 219.21/219.51 [4745]~P1(f319(f319(f227(a1),a77),a89)) % 219.21/219.51 [4746]~P1(f319(f319(f227(a1),a89),a89)) % 219.21/219.51 [4755]~P1(f319(f55(a925),f234(f932(a925,a923)))) % 219.21/219.51 [4756]~P1(f319(f55(a1),f234(f932(a1,a923)))) % 219.21/219.51 [4658]E(f319(f249(a1,a1,a923),f319(f319(f8(f932(a1,a923),f932(a1,a923),a1),f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f227(a1),f2(a1))))),f319(f319(f7(a1,a1,f932(a1,a923)),f319(f319(f8(f932(a1,f932(a1,a923)),f932(a1,f932(a1,a923)),a1),f7(a1,a1,a923)),f319(f319(f8(f932(a1,a1),f932(a1,f932(a1,a923)),a1),f319(f8(a1,f932(a1,a923),a1),a316)),a209))),f72(a1)))),a205) % 219.21/219.51 [3748]E(f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89),f319(f73(a1),a89)) % 219.21/219.51 [3786]E(f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89),f319(f319(f23(a1),a77),a89)) % 219.21/219.51 [3895]P1(f319(f319(f226(f932(f924(a922),a923)),a934),a935)) % 219.21/219.51 [3896]P1(f319(f319(f226(f932(f924(a922),a923)),a935),a936)) % 219.21/219.51 [3948]E(f319(f319(f54(f931(a925,a925)),f234(f932(f931(a925,a925),a923))),a100),a90) % 219.21/219.51 [3977]E(f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f72(a1)) % 219.21/219.51 [3978]E(f319(f95(a91),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f72(a91)) % 219.21/219.51 [3979]E(f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f72(a925)) % 219.21/219.51 [3982]E(f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(a104,f2(a925))) % 219.21/219.51 [4360]E(f319(f319(f102(f932(f931(f931(a925,a925),f931(a925,a925)),a923)),a26),f299(f931(a925,a925),f180(f932(f931(f931(a925,a925),f931(a925,a925)),a923)))),a64) % 219.21/219.51 [4426]E(f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),f72(a925)),f2(a925))),f180(f932(f931(a925,a925),a923))))),f72(a1)) % 219.21/219.51 [4427]E(f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),f2(a925)),f2(a925))),f180(f932(f931(a925,a925),a923))))),f2(a1)) % 219.21/219.51 [4440]E(f319(f254(f931(a925,a925)),f319(f249(a925,a925,a923),f319(f319(f8(a925,f932(a925,a923),a925),f319(f7(a925,a925,a923),a316)),a104))),a309) % 219.21/219.51 [4412]E(f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),f319(a104,f319(a104,f2(a925)))) % 219.21/219.51 [4415]E(f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),f319(f319(f74(a925),f72(a925)),f72(a925))) % 219.21/219.51 [4416]E(f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),f319(f29(a923),f234(f932(a923,a923)))) % 219.21/219.51 [4479]P7(f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))) % 219.21/219.51 [4548]P28(f932(f931(a925,a925),a923),f319(f319(f244(f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923),f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923)),a27),a65)) % 219.21/219.51 [4549]P28(f932(f931(a925,a925),a923),f319(f319(f244(f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923),f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923)),a28),a63)) % 219.21/219.51 [4589]E(f319(f319(f102(f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923)),f311(f931(a925,a925),a64)),f319(f319(f301(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),f180(f932(f931(a925,a925),a923))),f180(f932(f931(a925,a925),a923)))),f180(f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923)))),a63) % 219.21/219.51 [4590]E(f319(f319(f102(f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923)),f310(f931(a925,a925),a64)),f319(f319(f301(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),f180(f932(f931(a925,a925),a923))),f180(f932(f931(a925,a925),a923)))),f180(f932(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a923)))),a65) % 219.21/219.51 [4481]E(f319(a96,f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(a104,f319(a104,f2(a925)))) % 219.21/219.51 [4526]E(f319(f92(a1),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))) % 219.21/219.51 [4559]P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.21/219.51 [4560]E(f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89)),f319(a104,f319(a104,f319(a104,f2(a925))))) % 219.21/219.51 [4604]P7(f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))) % 219.21/219.51 [4630]E(f319(f92(a1),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))) % 219.21/219.51 [4643]P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89)))) % 219.21/219.51 [3385]P8(x33851,a316) % 219.21/219.51 [3774]P26(a925,a925,a104,x37741) % 219.21/219.51 [3378]P112(f924(x33781)) % 219.21/219.51 [3379]P112(f929(x33791)) % 219.21/219.51 [3380]P112(f926(x33801)) % 219.21/219.51 [3381]P112(f927(x33811)) % 219.21/219.51 [3401]P38(a1,f97(x34011)) % 219.21/219.51 [3402]P38(a1,f98(x34021)) % 219.21/219.51 [3452]P38(f932(x34521,a923),f306(x34521)) % 219.21/219.51 [3453]P39(f932(x34531,a923),f306(x34531)) % 219.21/219.51 [3478]E(f235(x34781,x34781,a316),a316) % 219.21/219.51 [3493]E(f39(a1,x34931,x34931),f2(a1)) % 219.21/219.51 [3546]P15(x35461,f932(x35461,a923),f301(x35461)) % 219.21/219.51 [4716]~E(f319(a104,x47161),x47161) % 219.21/219.51 [4722]~E(f319(a104,x47221),f2(a925)) % 219.21/219.51 [3387]E(f319(f95(a1),x33871),x33871) % 219.21/219.51 [3388]E(f319(f181(a925),x33881),x33881) % 219.21/219.51 [3403]E(f319(a83,f320(x34031)),x34031) % 219.21/219.51 [3404]E(f319(a3,f595(x34041)),x34041) % 219.21/219.51 [3405]E(f233(x34051,f2(a91)),f2(a91)) % 219.21/219.51 [3418]E(f106(x34181,f105(x34181)),f105(x34181)) % 219.21/219.51 [3419]E(f144(x34191,f105(x34191)),f105(x34191)) % 219.21/219.51 [3424]E(f319(f159(x34241),f105(x34241)),f105(x34241)) % 219.21/219.51 [3425]E(f319(f163(x34251),f105(x34251)),f105(x34251)) % 219.21/219.51 [3426]E(f319(f160(x34261),f105(x34261)),f105(x34261)) % 219.21/219.51 [3431]E(f319(f95(a1),x34311),f319(f94(a1),x34311)) % 219.21/219.51 [3432]E(f319(a83,f319(a99,x34321)),x34321) % 219.21/219.51 [3434]E(f319(a3,f319(a20,x34341)),x34341) % 219.21/219.51 [3435]E(f319(a20,f319(a3,x34351)),x34351) % 219.21/219.51 [3437]P7(f319(f92(a1),x34371)) % 219.21/219.51 [3446]E(f319(f181(f926(x34461)),f105(x34461)),f2(a925)) % 219.21/219.51 [3447]E(f319(f181(f927(x34471)),f111(x34471)),f2(a925)) % 219.21/219.51 [3469]E(f319(f319(f23(a925),x34691),f2(a925)),x34691) % 219.21/219.51 [3470]E(f319(f319(f75(a925),x34701),f72(a925)),x34701) % 219.21/219.51 [3471]E(f319(f319(f75(a1),x34711),f72(a1)),x34711) % 219.21/219.51 [3472]E(f319(f319(f74(a925),x34721),f2(a925)),x34721) % 219.21/219.51 [3473]E(f319(f319(f74(a1),x34731),f2(a1)),x34731) % 219.21/219.51 [3474]E(f319(f319(f225(a925),x34741),f2(a925)),x34741) % 219.21/219.51 [3475]E(f319(f319(f75(a925),x34751),f2(a925)),f2(a925)) % 219.21/219.51 [3476]E(f319(f319(f224(a925),x34761),f2(a925)),f2(a925)) % 219.21/219.51 [3477]E(f319(f319(f30(a1),x34771),f2(a1)),f2(a1)) % 219.21/219.51 [3484]E(f319(f164(x34841),f105(x34841)),f180(f932(x34841,a923))) % 219.21/219.51 [3488]P1(f319(f129(x34881),f105(x34881))) % 219.21/219.51 [3494]E(f319(f146(x34941,x34941),f5(x34941)),f25(f926(x34941))) % 219.21/219.51 [3495]E(f319(f146(x34951,x34951),f25(x34951)),f25(f926(x34951))) % 219.21/219.51 [3496]E(f39(a1,x34961,f2(a1)),x34961) % 219.21/219.51 [3497]E(f319(f226(a925),f319(a104,x34971)),f319(f227(a925),x34971)) % 219.21/219.51 [3498]E(f319(f274(a925),f319(a104,x34981)),f319(f293(a925),x34981)) % 219.21/219.51 [3499]E(f319(f275(a925),f319(a104,x34991)),f319(f296(a925),x34991)) % 219.21/219.51 [3501]E(f39(a1,f2(a1),x35011),f2(a1)) % 219.21/219.51 [3514]E(f319(f319(f74(a925),x35141),f72(a925)),f319(a104,x35141)) % 219.21/219.51 [3523]E(f319(f294(a925,x35231),f2(a925)),f180(f932(a925,a923))) % 219.21/219.51 [3535]E(f295(a925,f2(a925),x35351),f319(f293(a925),x35351)) % 219.21/219.51 [3578]E(f319(f319(f23(a925),f319(a104,x35781)),f72(a925)),x35781) % 219.21/219.51 [3590]E(f41(f2(a1),x35901),f319(f319(f244(a1,a1),f2(a1)),f2(a1))) % 219.21/219.51 [3639]P1(f319(f319(f227(a925),x36391),f319(a104,x36391))) % 219.21/219.51 [3651]P1(f319(f319(f227(a925),f2(a925)),f319(a104,x36511))) % 219.21/219.51 [3876]E(f85(x38761,x38761,f234(f932(x38761,a923)),f25(x38761)),f25(x38761)) % 219.21/219.51 [3935]E(f319(f319(f23(a91),f319(a3,f319(a104,f319(a20,x39351)))),f72(a91)),x39351) % 219.21/219.51 [4005]P1(f319(f319(f226(a1),f319(f73(a1),f319(f92(a1),x40051))),f2(a1))) % 219.21/219.51 [4148]P1(f319(f319(f227(a1),f319(f73(a1),f319(f92(a1),f319(a104,x41481)))),f2(a1))) % 219.21/219.51 [4731]~E(f234(f932(x47311,a923)),f180(f932(x47311,a923))) % 219.21/219.51 [4754]~P1(f319(f319(f227(a925),x47541),f2(a925))) % 219.21/219.51 [4765]~P1(f319(f319(f227(a1),f319(f92(a1),x47651)),f2(a1))) % 219.21/219.51 [3436]E(f112(x34361,f111(f927(x34361))),f111(x34361)) % 219.21/219.51 [3451]E(f171(x34511,f105(f926(x34511))),f105(f926(x34511))) % 219.21/219.51 [3454]E(f319(f319(f75(a1),a77),x34541),a77) % 219.21/219.51 [3455]E(f319(f319(f74(a1),a77),x34551),x34551) % 219.21/219.51 [3458]E(f319(a96,f319(f92(a1),x34581)),x34581) % 219.21/219.51 [3459]E(f319(f319(f23(a1),x34591),a77),x34591) % 219.21/219.51 [3460]E(f319(f319(f74(a1),x34601),a77),x34601) % 219.21/219.51 [3462]E(f319(f319(f23(a925),x34621),x34621),f2(a925)) % 219.21/219.51 [3467]E(f319(f73(a1),f319(f73(a1),x34671)),x34671) % 219.21/219.51 [3468]E(f319(f29(a925),f319(f274(a925),x34681)),x34681) % 219.21/219.51 [3479]E(f319(f319(f75(a925),f72(a925)),x34791),x34791) % 219.21/219.51 [3480]E(f319(f319(f75(a1),f72(a1)),x34801),x34801) % 219.21/219.51 [3481]E(f319(f319(f74(a925),f2(a925)),x34811),x34811) % 219.21/219.51 [3482]E(f319(f319(f74(a1),f2(a1)),x34821),x34821) % 219.21/219.51 [3483]E(f319(f319(f225(a925),f2(a925)),x34831),x34831) % 219.21/219.51 [3489]E(f319(f319(f23(a925),f2(a925)),x34891),f2(a925)) % 219.21/219.51 [3490]E(f319(f319(f75(a925),f2(a925)),x34901),f2(a925)) % 219.21/219.51 [3491]E(f319(f319(f224(a925),f2(a925)),x34911),f2(a925)) % 219.21/219.51 [3492]E(f319(f319(f30(a1),f2(a1)),x34921),f2(a1)) % 219.21/219.51 [3502]E(f120(x35021,f319(f73(a1),x35021)),f124(a1,x35021)) % 219.21/219.51 [3507]E(f319(f294(a925,f2(a925)),x35071),f319(f274(a925),x35071)) % 219.21/219.51 [3508]E(f319(f319(f75(a1),a89),x35081),f319(f73(a1),x35081)) % 219.21/219.51 [3516]E(f319(a96,f319(f95(a1),x35161)),f319(f95(a925),x35161)) % 219.21/219.51 [3517]E(f319(a20,f319(f95(a91),x35171)),f319(f95(a925),x35171)) % 219.21/219.51 [3518]E(f319(f29(a925),f319(f293(a925),x35181)),f319(a104,x35181)) % 219.21/219.51 [3527]E(f319(f319(f74(a925),f72(a925)),x35271),f319(a104,x35271)) % 219.21/219.51 [3531]E(f319(f94(a1),f319(f92(a1),x35311)),f319(f92(a1),x35311)) % 219.21/219.51 [3532]E(f319(f69(a1),f319(f92(a1),x35321)),f319(f92(a1),x35321)) % 219.21/219.51 [3536]E(f319(f29(x35361),f180(f932(x35361,a923))),f2(a925)) % 219.21/219.51 [3538]E(f319(f319(f30(a925),x35381),f319(a104,f2(a925))),x35381) % 219.21/219.51 [3547]E(f39(a925,x35471,f319(a104,f2(a925))),f2(a925)) % 219.21/219.51 [3548]E(f39(a1,x35481,f319(f95(a1),a89)),f2(a1)) % 219.21/219.51 [3562]E(f319(f319(f30(a1),x35621),f319(f95(a1),a89)),f319(f73(a1),x35621)) % 219.21/219.51 [3566]E(f131(a925,f319(f294(a925,x35661),f2(a925))),f105(a925)) % 219.21/219.51 [3567]E(f319(f319(f74(a1),x35671),f72(a1)),f319(f319(f23(a1),x35671),a89)) % 219.21/219.51 [3568]E(f319(f319(f23(a1),x35681),f72(a1)),f319(f319(f74(a1),x35681),a89)) % 219.21/219.51 [3572]P1(f319(f319(f226(a925),x35721),x35721)) % 219.21/219.51 [3573]P1(f319(f319(f226(a1),x35731),x35731)) % 219.21/219.51 [3574]P1(f319(f319(f279(a925),x35741),x35741)) % 219.21/219.51 [3579]E(f319(f73(a1),f319(f95(a1),x35791)),f319(f95(a1),f319(f73(a1),x35791))) % 219.21/219.51 [3580]P1(f319(f55(a925),f319(f274(a925),x35801))) % 219.21/219.51 [3581]P1(f319(f55(a925),f319(f293(a925),x35811))) % 219.21/219.51 [3588]E(f153(x35881,f234(f932(x35881,a923))),f234(f932(f926(x35881),a923))) % 219.21/219.51 [3593]P1(f319(f319(f226(a925),f2(a925)),x35931)) % 219.21/219.51 [3603]E(f319(f319(f74(a925),f103(x36031)),f319(a104,f2(a925))),f103(f319(a104,x36031))) % 219.21/219.51 [3604]E(f319(f254(x36041),f319(f16(a923,x36041),a179)),f234(f932(x36041,a923))) % 219.21/219.51 [3605]E(f319(f254(x36051),f319(f16(a923,x36051),a231)),f180(f932(x36051,a923))) % 219.21/219.51 [3608]E(f319(f319(f301(a925),x36081),f319(f274(a925),x36081)),f319(f274(a925),f319(a104,x36081))) % 219.21/219.51 [3620]E(f319(f319(f74(a1),f72(a1)),f319(f92(a1),x36201)),f319(f92(a1),f319(a104,x36201))) % 219.21/219.51 [3622]E(f319(f319(f143(f926(x36221)),f105(x36221)),f105(f926(x36221))),f48(x36221,f105(x36221))) % 219.21/219.51 [3642]E(f180(f932(f931(x36421,x36421),a923)),f255(x36421,f180(f932(x36421,a923)))) % 219.21/219.51 [3643]E(f319(f300(x36431),f234(f932(x36431,a923))),f234(f932(f932(x36431,a923),a923))) % 219.21/219.51 [3644]E(f319(f73(f932(x36441,a923)),f234(f932(x36441,a923))),f180(f932(x36441,a923))) % 219.21/219.51 [3645]E(f319(f73(f932(x36451,a923)),f180(f932(x36451,a923))),f234(f932(x36451,a923))) % 219.21/219.51 [3647]P1(f319(f55(x36471),f180(f932(x36471,a923)))) % 219.21/219.51 [3649]E(f319(f294(a925,x36491),f319(a104,x36491)),f319(f319(f301(a925),x36491),f180(f932(a925,a923)))) % 219.21/219.51 [3650]E(f79(f931(a925,a925),f42(x36501,f2(a925))),f319(f319(f244(a925,a925),f2(a925)),x36501)) % 219.21/219.51 [3663]E(f319(f319(f301(a925),f319(a104,x36631)),f319(f293(a925),x36631)),f319(f293(a925),f319(a104,x36631))) % 219.21/219.51 [3667]P38(x36671,f180(f932(f931(x36671,x36671),a923))) % 219.21/219.51 [3668]P40(x36681,f180(f932(f931(x36681,x36681),a923))) % 219.21/219.51 [3671]P1(f319(f319(f226(a1),f2(a1)),f319(f92(a1),x36711))) % 219.21/219.51 [3678]E(f319(f319(f74(a925),f319(f181(a925),x36781)),f319(a104,f2(a925))),f319(f181(a925),f319(a104,x36781))) % 219.21/219.51 [3781]P42(f319(f302(a925,a1,f92(a1)),x37811)) % 219.21/219.51 [3819]P57(x38191,f180(f932(x38191,a923)),f180(f932(f931(x38191,x38191),a923))) % 219.21/219.51 [3837]E(f319(f319(f244(a1,a1),f319(f95(a1),a89)),f319(f319(f23(a1),x38371),f72(a1))),f44(f319(f95(a1),a89),x38371)) % 219.21/219.51 [3889]P64(x38891,f319(f16(f932(x38891,a923),x38891),f319(f16(a923,x38891),a231))) % 219.21/219.51 [3903]E(f282(a925,f279(a925),x39031,x39031),f319(f319(f301(a925),x39031),f180(f932(a925,a923)))) % 219.21/219.51 [4092]P1(f319(f319(f321(f932(f931(a925,a925),a923)),f320(x40921)),a90)) % 219.21/219.51 [4117]P1(f319(f319(f321(f932(f931(a925,a925),a923)),f319(a99,x41171)),a90)) % 219.21/219.51 [4247]P26(x42471,f932(x42471,a923),f319(f319(f7(x42471,f932(x42471,a923),f932(x42471,a923)),f301(x42471)),f180(f932(x42471,a923))),f234(f932(x42471,a923))) % 219.21/219.51 [4727]~E(f319(f319(f74(a1),x47271),x47271),a89) % 219.21/219.51 [4741]~E(f319(a3,f319(a104,f319(a20,x47411))),f2(a91)) % 219.21/219.51 [4747]~P1(f319(a185,f319(f92(a1),x47471))) % 219.21/219.51 [4750]~P1(f319(f319(f227(a925),x47501),x47501)) % 219.21/219.51 [4758]~P1(f319(f319(f226(a925),f319(a104,x47581)),x47581)) % 219.21/219.51 [3595]E(f319(a96,f319(f73(a1),f319(f92(a1),x35951))),f2(a925)) % 219.21/219.51 [3598]E(f319(f319(f74(a1),f319(f73(a1),x35981)),x35981),f2(a1)) % 219.21/219.51 [3602]E(f319(f29(a1),f319(f294(a1,f2(a1)),x36021)),f319(a96,x36021)) % 219.21/219.51 [3613]E(f319(f319(f236(a925),f319(a104,f2(a925))),x36131),f319(a104,f2(a925))) % 219.21/219.51 [3708]E(f319(f273(x37081),f180(f932(f931(x37081,x37081),a923))),f180(f932(x37081,a923))) % 219.21/219.51 [3716]E(f32(f932(x37161,a923),f234(f932(f932(x37161,a923),a923))),f180(f932(x37161,a923))) % 219.21/219.51 [3717]E(f32(f932(x37171,a923),f180(f932(f932(x37171,a923),a923))),f234(f932(x37171,a923))) % 219.21/219.51 [3718]E(f31(f932(x37181,a923),f234(f932(f932(x37181,a923),a923))),f234(f932(x37181,a923))) % 219.21/219.51 [3719]E(f31(f932(x37191,a923),f180(f932(f932(x37191,a923),a923))),f180(f932(x37191,a923))) % 219.21/219.51 [3723]P1(f319(f319(f279(a925),f319(a104,f2(a925))),x37231)) % 219.21/219.51 [3764]E(f319(f319(f301(f926(x37641)),f105(x37641)),f180(f932(f926(x37641),a923))),f153(x37641,f180(f932(x37641,a923)))) % 219.21/219.51 [3765]E(f319(f319(f301(f926(x37651)),f105(x37651)),f180(f932(f926(x37651),a923))),f154(x37651,f105(f932(x37651,a923)))) % 219.21/219.51 [3803]E(f319(f319(f74(a925),f4(x38031)),f319(a104,f2(a925))),f4(f319(a3,f319(a104,f319(a20,x38031))))) % 219.21/219.51 [3828]E(f319(f29(a1),f319(f302(a925,a1,f92(a1)),x38281)),f319(f29(a925),x38281)) % 219.21/219.51 [3829]P1(f319(f319(f226(a925),x38291),f319(f319(f75(a925),x38291),x38291))) % 219.21/219.51 [3867]E(f319(f302(a1,a925,a96),f295(a1,f2(a1),f319(f92(a1),x38671))),f319(f293(a925),x38671)) % 219.21/219.51 [3884]E(f319(f319(f30(a925),f319(a104,f2(a925))),f319(f95(a925),x38841)),f319(a96,f319(f319(f30(a1),f72(a1)),f319(f95(a1),x38841)))) % 219.21/219.51 [3886]E(f319(f164(a925),f131(a925,f319(f294(a925,f2(a925)),f319(a104,x38861)))),f319(f293(a925),x38861)) % 219.21/219.51 [3887]E(f319(f319(f74(a925),f319(f181(a91),x38871)),f319(a104,f2(a925))),f319(f181(a91),f319(a3,f319(a104,f319(a20,x38871))))) % 219.21/219.51 [3909]P40(x39091,f299(x39091,f180(f932(f931(x39091,x39091),a923)))) % 219.21/219.51 [3910]P56(x39101,f299(x39101,f180(f932(f931(x39101,x39101),a923)))) % 219.21/219.51 [3911]E(f319(f302(a1,a925,a96),f319(f302(a925,a1,f92(a1)),x39111)),x39111) % 219.21/219.51 [3941]E(f319(f319(f301(a925),f2(a925)),f319(f302(a925,a925,a104),f319(f274(a925),x39411))),f319(f274(a925),f319(a104,x39411))) % 219.21/219.51 [3947]P59(x39471,x39471,f299(x39471,f180(f932(f931(x39471,x39471),a923)))) % 219.21/219.51 [3953]P1(f319(a185,f319(f73(a1),f319(f92(a1),f319(a104,x39531))))) % 219.21/219.51 [3963]E(f319(f319(f23(f932(a925,a923)),f319(f275(a925),x39631)),f319(f319(f301(a925),x39631),f180(f932(a925,a923)))),f319(f275(a925),f319(a104,x39631))) % 219.21/219.51 [3980]E(f319(f319(f74(a1),f319(f319(f23(a1),a77),x39801)),f319(f319(f23(a1),a77),x39801)),f319(f319(f23(a1),a77),f319(f319(f74(a1),x39801),x39801))) % 219.21/219.51 [3994]E(f319(f319(f301(f932(x39941,a923)),f180(f932(x39941,a923))),f180(f932(f932(x39941,a923),a923))),f319(f300(x39941),f180(f932(x39941,a923)))) % 219.21/219.51 [4022]E(f319(f319(f23(f932(a925,a923)),f319(f296(a925),x40221)),f319(f319(f301(a925),f319(a104,x40221)),f180(f932(a925,a923)))),f319(f296(a925),f319(a104,x40221))) % 219.21/219.51 [4129]E(f319(f95(a925),f319(f319(f74(a1),x41291),x41291)),f319(f319(f80(a925,a925),f319(f95(a925),x41291)),f319(f319(f18(a925,a925,a925),f74(a925)),f5(a925)))) % 219.21/219.51 [4501]P15(x45011,f932(x45011,a923),f319(f319(f8(f932(x45011,a923),f932(f932(x45011,a923),f932(x45011,a923)),x45011),f319(f7(f932(x45011,a923),f932(x45011,a923),f932(x45011,a923)),f23(f932(x45011,a923)))),f319(f319(f7(x45011,f932(x45011,a923),f932(x45011,a923)),f301(x45011)),f180(f932(x45011,a923))))) % 219.21/219.51 [4588]E(f319(f254(f931(a1,a1)),f319(f249(a1,a1,a923),f319(f319(f8(f932(a1,a923),f932(a1,a923),a1),f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),x45881)))),f227(a1)))),f97(x45881)) % 219.21/219.51 [4621]E(f319(f254(f931(a1,a1)),f319(f249(a1,a1,a923),f319(f319(f18(a1,f932(a1,a923),f932(a1,a923)),f319(f319(f8(f932(a923,a923),f932(f932(a1,a923),f932(a1,a923)),a1),f8(a923,a923,a1)),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),x46211)))),f227(a1)))),f98(x46211)) % 219.21/219.51 [4674]E(f319(f254(f931(f932(x46741,a923),f932(x46741,a923))),f319(f249(f932(x46741,a923),f932(x46741,a923),a923),f319(f319(f7(f932(x46741,a923),f932(f932(x46741,a923),a923),f932(f932(x46741,a923),a923)),f319(f319(f8(f932(f932(x46741,a923),f932(a923,a923)),f932(f932(f932(x46741,a923),a923),f932(f932(x46741,a923),a923)),f932(x46741,a923)),f18(f932(x46741,a923),a923,a923)),f319(f319(f8(f932(f932(x46741,a923),a923),f932(f932(x46741,a923),f932(a923,a923)),f932(x46741,a923)),f319(f8(a923,f932(a923,a923),f932(x46741,a923)),a317)),f227(f932(x46741,a923))))),f55(x46741)))),f306(x46741)) % 219.21/219.51 [4762]~P1(f319(f55(f926(x47621)),f234(f932(f926(x47621),a923)))) % 219.21/219.51 [4774]~P1(f319(f319(f226(a1),f2(a1)),f319(f73(a1),f319(f92(a1),f319(a104,x47741))))) % 219.21/219.51 [3743]E(f319(f319(f23(a1),f319(f319(f74(a1),x37431),a89)),a89),x37431) % 219.21/219.51 [3757]E(f319(f164(a925),f131(a925,f319(f294(a925,f2(a925)),x37571))),f319(f274(a925),x37571)) % 219.21/219.51 [4001]E(f319(f319(f74(a1),f319(f319(f74(a1),f72(a1)),x40011)),x40011),f319(f319(f23(a1),f319(f319(f74(a1),x40011),x40011)),a89)) % 219.21/219.51 [4049]E(f319(f278(x40491,x40491),f299(x40491,f180(f932(f931(x40491,x40491),a923)))),f299(x40491,f180(f932(f931(x40491,x40491),a923)))) % 219.21/219.51 [4095]P1(f319(f319(f226(a925),x40951),f319(f319(f75(a925),x40951),f319(f319(f75(a925),x40951),x40951)))) % 219.21/219.51 [4364]P1(f319(f55(a925),f319(f254(a925),f319(f319(f7(a925,a925,a923),f226(a925)),x43641)))) % 219.21/219.51 [4365]P1(f319(f55(a925),f319(f254(a925),f319(f319(f7(a925,a925,a923),f227(a925)),x43651)))) % 219.21/219.51 [4637]E(f319(f254(f931(x46371,x46371)),f319(f319(f8(f932(x46371,a923),a923,f931(x46371,x46371)),f81(x46371)),f319(f319(f7(f931(x46371,x46371),f932(x46371,f931(x46371,x46371)),f932(x46371,a923)),f319(f319(f8(f932(f931(x46371,x46371),a923),f932(f932(x46371,f931(x46371,x46371)),f932(x46371,a923)),f931(x46371,x46371)),f8(f931(x46371,x46371),a923,x46371)),a316)),f319(f319(f18(x46371,x46371,f931(x46371,x46371)),f244(x46371,x46371)),f5(x46371))))),f299(x46371,f180(f932(f931(x46371,x46371),a923)))) % 219.21/219.51 [4764]~E(f319(f319(f23(a1),f319(f319(f74(a1),x47641),x47641)),a89),a77) % 219.21/219.51 [4766]~E(f319(f319(f74(a1),f319(f319(f74(a1),f72(a1)),x47661)),x47661),f2(a1)) % 219.21/219.51 [4139]E(f319(f319(f74(a1),f319(f319(f23(a1),a89),x41391)),f319(f319(f23(a1),a89),x41391)),f319(f319(f23(a1),a89),f319(f319(f23(a1),f319(f319(f74(a1),x41391),x41391)),a89))) % 219.21/219.51 [4255]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),a89),x42551)),f319(f319(f23(a1),a89),x42551))),a89),f319(f319(f23(a1),a89),f319(f319(f74(a1),x42551),x42551))) % 219.21/219.51 [4287]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f74(a1),x42871),a89)),f319(f319(f74(a1),x42871),a89))),a89),f319(f319(f74(a1),f319(f319(f74(a1),x42871),x42871)),a89)) % 219.21/219.51 [4325]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),a89),x43251)),f319(f319(f23(a1),a89),x43251))),a89),f319(f319(f23(a1),a77),f319(f319(f23(a1),f319(f319(f74(a1),x43251),x43251)),a89))) % 219.21/219.51 [4422]E(f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x44221),f2(a925))),f180(f932(f931(a925,a925),a923))))),f319(f92(a1),x44221)) % 219.21/219.51 [4432]E(f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),f324(x44321)),f558(x44321))),f180(f932(f931(a925,a925),a923))))),x44321) % 219.21/219.51 [4465]E(f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x44651)),f319(f302(a925,a1,f92(a1)),f319(f254(a925),f319(f319(f8(a1,a923,a925),x44651),f92(a1))))) % 219.21/219.51 [4509]P42(f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x45091))) % 219.21/219.51 [4529]P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x45291),f180(f932(f931(a925,a925),a923)))),a65)) % 219.21/219.51 [4534]E(f319(f302(a1,a925,a96),f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),f319(f319(f8(a925,a923,a1),x45341),a96)))),f319(f254(a925),x45341)) % 219.21/219.51 [4689]E(f304(a925,f319(f319(f33(f931(a925,a925),f932(a925,a923)),f319(a99,x46891)),f319(f249(a925,a925,f932(a925,a923)),f319(f319(f7(a925,f932(a925,a923),f932(a925,f932(a925,a923))),f319(f319(f8(f932(a925,f932(f932(a925,a923),f932(a925,a923))),f932(f932(a925,a923),f932(a925,f932(a925,a923))),a925),f7(a925,f932(a925,a923),f932(a925,a923))),f319(f319(f8(f932(a925,a925),f932(a925,f932(f932(a925,a923),f932(a925,a923))),a925),f319(f8(a925,f932(f932(a925,a923),f932(a925,a923)),a925),f301(a925))),f23(a925)))),f180(f932(a925,a923)))))),f319(a96,x46891)) % 219.21/219.51 [4184]E(f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),x41841),x41841)),a89)),a89),f319(f319(f74(a1),x41841),x41841)) % 219.21/219.51 [4234]E(f319(f319(f23(a1),f319(f319(f23(a1),f319(f319(f74(a1),x42341),x42341)),a89)),a89),f319(f319(f74(a1),f319(f319(f23(a1),x42341),a89)),f319(f319(f23(a1),x42341),a89))) % 219.21/219.51 [4438]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f74(a1),f319(f73(a1),x44381)),a89)),f319(f319(f74(a1),f319(f73(a1),x44381)),a89))),a89),f319(f73(a1),f319(f319(f23(a1),f319(f319(f74(a1),x44381),x44381)),a89))) % 219.21/219.51 [4482]E(f319(f319(f74(a925),x44821),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(a104,f319(a104,x44821))) % 219.21/219.51 [4483]E(f319(f319(f75(a925),x44831),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f74(a925),x44831),x44831)) % 219.21/219.51 [4484]E(f319(f319(f30(a925),f319(f319(f74(a925),x44841),x44841)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x44841) % 219.21/219.51 [4562]E(f39(a925,f319(a104,f319(a104,x45621)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f39(a925,x45621,f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.21/219.51 [4703]E(f319(a83,f319(f319(f33(f931(a925,a925),f932(f931(a925,a925),a923)),f319(a99,x47031)),f319(f249(a925,a925,f932(f931(a925,a925),a923)),f319(f319(f8(f932(a925,f932(f931(a925,a925),a923)),f932(a925,f932(f931(a925,a925),a923)),a925),f319(f8(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923),a925),f277(f931(a925,a925),f931(a925,a925),a100))),f319(f319(f7(a925,f932(f931(a925,a925),a923),f932(a925,f932(f931(a925,a925),a923))),f319(f319(f8(f932(a925,f932(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f932(f932(f931(a925,a925),a923),f932(a925,f932(f931(a925,a925),a923))),a925),f7(a925,f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f8(f932(a925,f931(a925,a925)),f932(a925,f932(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),a925),f319(f8(f931(a925,a925),f932(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),a925),f301(f931(a925,a925)))),f319(f7(a925,a925,f931(a925,a925)),f244(a925,a925))))),f180(f932(f931(a925,a925),a923))))))),f319(f73(a1),x47031)) % 219.21/219.51 [4557]E(f319(f319(f74(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x45571),f319(a104,f319(a104,x45571))) % 219.21/219.51 [4558]E(f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x45581),f319(f319(f74(a925),x45581),x45581)) % 219.21/219.51 [4594]E(f319(f319(f30(a925),f319(a104,f319(a104,x45941))),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(a104,f319(f319(f30(a925),x45941),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.21/219.51 [4644]E(f319(f319(f74(a925),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),x46441),f319(a104,f319(a104,f319(a104,x46441)))) % 219.21/219.51 [4710]E(f319(f249(a1,a1,f931(a1,a1)),f319(f319(f18(a1,f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),f319(f319(f8(f932(a1,f932(f931(a1,a1),f931(a1,a1))),f932(f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),a1),f18(a1,f931(a1,a1),f931(a1,a1))),f319(f319(f8(f932(a1,f931(a1,a1)),f932(a1,f932(f931(a1,a1),f931(a1,a1))),a1),f319(f18(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f319(f319(f8(a923,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f86(f931(a1,a1))),f319(f319(f8(a1,a923,a1),f319(f226(a1),f2(a1))),f319(f319(f7(a1,a1,a1),f23(a1)),x47101))))),f319(f319(f7(a1,f932(a1,a1),f932(a1,f931(a1,a1))),f319(f319(f8(f932(a1,f931(a1,a1)),f932(f932(a1,a1),f932(a1,f931(a1,a1))),a1),f8(a1,f931(a1,a1),a1)),f319(f319(f8(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f319(f319(f7(a1,a1,a1),f319(f319(f8(a1,f932(a1,a1),a1),f74(a1)),f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f72(a1))))),f319(f319(f7(a1,a1,a1),f23(a1)),x47101))))),f319(f319(f8(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))))),f37(x47101)) % 219.21/219.51 [3421]P112(f931(x34211,x34212)) % 219.21/219.51 [3422]P112(f933(x34221,x34222)) % 219.21/219.51 [3423]P112(f930(x34231,x34232)) % 219.21/219.51 [3440]P14(a1,f170(x34401,x34402)) % 219.21/219.51 [3441]P38(x34411,f145(x34411,x34412)) % 219.21/219.51 [3442]P39(x34421,f255(x34421,x34422)) % 219.21/219.51 [3443]P39(x34431,f299(x34431,x34432)) % 219.21/219.51 [3444]P40(x34441,f255(x34441,x34442)) % 219.21/219.51 [3445]P56(x34451,f255(x34451,x34452)) % 219.21/219.51 [3509]P32(x35091,x35092,f105(x35091)) % 219.21/219.51 [3542]P57(x35421,x35422,f255(x35421,x35422)) % 219.21/219.51 [3543]P59(x35431,x35431,f255(x35431,x35432)) % 219.21/219.51 [3806]P26(x38061,x38061,f5(x38061),x38062) % 219.21/219.51 [3807]P26(x38071,x38071,f25(x38071),x38072) % 219.21/219.51 [3815]P33(x38151,x38152,f105(x38151),f105(x38151)) % 219.21/219.51 [3822]P26(f926(x38221),f926(x38221),f160(x38221),x38222) % 219.21/219.51 [4224]P27(x42241,x42241,f25(x42241),x42242,x42242) % 219.21/219.51 [4736]~P34(x47361,x47362,f105(x47361)) % 219.21/219.51 [4737]~P36(x47371,x47372,f105(x47371)) % 219.21/219.51 [3407]E(f319(f5(x34071),x34072),x34072) % 219.21/219.51 [3408]E(f319(f254(x34081),x34082),x34082) % 219.21/219.51 [3410]E(f319(f25(x34101),x34102),x34102) % 219.21/219.51 [3420]E(f319(f183(x34201),x34202),f107(x34201)) % 219.21/219.51 [3438]E(f79(x34381,f319(a316,x34382)),x34382) % 219.21/219.51 [3439]E(f84(x34391,f319(a316,x34392)),x34392) % 219.21/219.51 [3461]E(f319(f117(x34611,x34612),f111(x34611)),f2(a925)) % 219.21/219.51 [3465]E(f319(f128(x34651,x34652),f105(x34651)),f105(x34651)) % 219.21/219.51 [3485]E(f299(x34851,f299(x34851,x34852)),f299(x34851,x34852)) % 219.21/219.51 [3486]E(f144(x34861,f144(x34861,x34862)),f144(x34861,x34862)) % 219.21/219.51 [3504]E(f319(f319(f126(x35041),x35042),f105(x35041)),x35042) % 219.21/219.51 [3510]E(f165(x35101,x35102,f105(x35101)),x35102) % 219.21/219.51 [3511]E(f165(x35111,f105(x35111),x35112),x35112) % 219.21/219.51 [3512]E(f108(x35121,f111(x35121),x35122),x35122) % 219.21/219.51 [3513]E(f161(x35131,f2(a925),x35132),f105(x35131)) % 219.21/219.51 [3519]E(f319(f319(f167(x35191),x35192),f105(x35191)),f105(x35191)) % 219.21/219.51 [3520]E(f319(f319(f130(x35201),x35202),f105(x35201)),f105(x35201)) % 219.21/219.51 [3522]E(f147(x35221,x35222,f105(x35221)),f2(a925)) % 219.21/219.51 [3524]E(f162(x35241,x35242,f105(x35241)),f105(x35241)) % 219.21/219.51 [3525]E(f169(x35251,x35252,f105(x35251)),f105(x35251)) % 219.21/219.51 [3526]E(f168(x35261,f105(x35261),x35262),f105(x35261)) % 219.21/219.51 [3530]E(f319(f164(x35301),f144(x35301,x35302)),f319(f164(x35301),x35302)) % 219.21/219.51 [3533]E(f319(f276(x35331,x35331),f255(x35331,x35332)),x35332) % 219.21/219.51 [3534]E(f319(f256(x35341,x35341),f255(x35341,x35342)),x35342) % 219.21/219.51 [3541]E(f319(f278(x35411,x35411),f255(x35411,x35412)),f255(x35411,x35412)) % 219.21/219.51 [3554]E(f299(f926(x35541),f149(x35541,x35542)),f150(x35541,f299(x35541,x35542))) % 219.21/219.51 [3556]P1(f319(f129(a1),f170(x35561,x35562))) % 219.21/219.51 [3564]E(f319(f276(x35641,x35641),f299(x35641,x35642)),f234(f932(x35641,a923))) % 219.21/219.51 [3565]E(f319(f256(x35651,x35651),f299(x35651,x35652)),f234(f932(x35651,a923))) % 219.21/219.51 [3569]P1(f319(f129(x35691),f144(x35691,x35692))) % 219.21/219.51 [3571]P1(f319(f152(x35711,x35712),f105(x35711))) % 219.21/219.51 [3577]E(f319(f164(a1),f170(x35771,x35772)),f295(a1,x35771,x35772)) % 219.21/219.51 [3591]P60(x35911,f180(f932(x35911,a923)),x35912) % 219.21/219.51 [3596]E(f319(f248(a1,a1),f40(x35961,x35962)),f39(a1,x35961,x35962)) % 219.21/219.51 [3597]E(f319(f294(a925,x35971),f319(a104,x35972)),f295(a925,x35971,x35972)) % 219.21/219.51 [3612]E(f319(f319(f143(x36121),x36122),f105(x36121)),f132(x36121,x36122,f105(x36121))) % 219.21/219.51 [3624]E(f295(a925,f319(a104,x36241),x36242),f297(a925,x36241,x36242)) % 219.21/219.51 [3627]P57(x36271,f234(f932(x36271,a923)),f299(x36271,x36272)) % 219.21/219.51 [3689]E(f319(f319(f23(a925),x36891),f319(a104,x36892)),f319(f29(a925),f298(a925,x36892,x36891))) % 219.21/219.51 [3744]E(f158(x37441,x37442,f105(x37441)),f319(f319(f244(f926(x37441),f926(x37441)),f105(x37441)),f105(x37441))) % 219.21/219.51 [3762]E(f319(f249(x37621,x37622,f931(x37621,x37622)),f244(x37621,x37622)),f25(f931(x37621,x37622))) % 219.21/219.51 [3766]P1(f319(f319(f321(f926(x37661)),f105(x37661)),f153(x37661,x37662))) % 219.21/219.51 [3767]E(f319(f181(f926(x37671)),f106(x37671,x37672)),f319(f319(f23(a925),f319(f181(f926(x37671)),x37672)),f72(a925))) % 219.21/219.51 [3775]P1(f319(f55(a925),f295(a925,x37751,x37752))) % 219.21/219.51 [3776]P1(f319(f55(a925),f297(a925,x37761,x37762))) % 219.21/219.51 [3777]P1(f319(f55(a925),f298(a925,x37771,x37772))) % 219.21/219.51 [3778]P1(f319(f55(a1),f295(a1,x37781,x37782))) % 219.21/219.51 [3779]P1(f319(f55(a1),f297(a1,x37791,x37792))) % 219.21/219.51 [3780]P1(f319(f55(a1),f298(a1,x37801,x37802))) % 219.21/219.51 [3883]E(f319(f302(a925,a925,a104),f295(a925,x38831,x38832)),f295(a925,f319(a104,x38831),f319(a104,x38832))) % 219.21/219.51 [3905]E(f319(f319(f281(x39051,x39051,x39051),f299(x39051,x39052)),f299(x39051,x39052)),f299(x39051,x39052)) % 219.21/219.51 [3939]E(f319(f319(f244(a1,a1),f319(f319(f30(a1),x39391),x39392)),f39(a1,x39391,x39392)),f40(x39391,x39392)) % 219.21/219.51 [3940]E(f319(f319(f244(a91,a91),f319(f319(f30(a91),x39401),x39402)),f39(a91,x39401,x39402)),f21(x39401,x39402)) % 219.21/219.51 [3967]E(f319(f319(f244(a925,a925),f319(f319(f30(a925),x39671),x39672)),f39(a925,x39671,x39672)),f79(f931(a925,a925),f42(x39671,x39672))) % 219.21/219.51 [4018]P1(f319(f319(f227(a925),f319(f319(f23(a925),x40181),x40182)),f319(a104,x40181))) % 219.21/219.51 [4066]P39(x40661,f319(f319(f281(x40661,x40661,x40661),x40662),f299(x40661,x40662))) % 219.21/219.51 [4116]E(f319(f319(f74(a1),f319(f319(f75(a1),x41161),f319(f319(f30(a1),x41162),x41161))),f39(a1,x41162,x41161)),x41162) % 219.21/219.51 [4120]E(f319(f319(f33(a925,f932(f931(f926(x41201),f926(x41201)),a923)),f234(f932(a925,a923))),f135(x41201,x41202)),f137(x41201,x41202)) % 219.21/219.51 [4341]P1(f319(f319(f321(f931(f926(x43411),f926(x43411))),f319(f319(f244(f926(x43411),f926(x43411)),f105(x43411)),f105(x43411))),f150(x43411,x43412))) % 219.21/219.51 [4450]E(f245(x44501,x44501,x44501,a316,f245(x44501,x44501,x44501,x44502,a316)),x44502) % 219.21/219.51 [4494]E(f250(x44941,x44941,x44942,x44942,f5(x44941),f5(x44942)),f25(f931(x44941,x44942))) % 219.21/219.51 [4496]E(f250(x44961,x44961,x44962,x44962,f25(x44961),f25(x44962)),f25(f931(x44961,x44962))) % 219.21/219.51 [3503]E(f319(f160(x35031),f319(f160(x35031),x35032)),x35032) % 219.21/219.51 [3505]E(f319(f319(f130(x35051),f2(a925)),x35052),x35052) % 219.21/219.51 [3521]E(f319(f319(f167(x35211),f2(a925)),x35212),f105(x35211)) % 219.21/219.51 [3528]E(f319(f319(f126(x35281),f105(x35281)),x35282),x35282) % 219.21/219.51 [3537]E(f31(f932(x35371,a923),f319(f300(x35371),x35372)),x35372) % 219.21/219.51 [3539]E(f319(f164(x35391),f319(f159(x35391),x35392)),f319(f164(x35391),x35392)) % 219.21/219.51 [3540]E(f319(f164(x35401),f319(f160(x35401),x35402)),f319(f164(x35401),x35402)) % 219.21/219.51 [3545]E(f319(f319(f23(a91),x35451),x35452),f319(f319(a24,x35451),x35452)) % 219.21/219.51 [3558]E(f319(f319(f75(a925),x35581),x35582),f319(f319(f75(a925),x35582),x35581)) % 219.21/219.51 [3559]E(f319(f319(f75(a1),x35591),x35592),f319(f319(f75(a1),x35592),x35591)) % 219.21/219.51 [3560]E(f319(f319(f74(a925),x35601),x35602),f319(f319(f74(a925),x35602),x35601)) % 219.21/219.51 [3561]E(f319(f319(f74(a1),x35611),x35612),f319(f319(f74(a1),x35612),x35611)) % 219.21/219.51 [3583]E(f319(f319(f175(x35831,x35831),f2(a925)),x35832),f25(x35831)) % 219.21/219.51 [3584]E(f319(f181(f926(x35841)),f319(f159(x35841),x35842)),f319(f181(f926(x35841)),x35842)) % 219.21/219.51 [3585]E(f319(f181(f926(x35851)),f319(f160(x35851),x35852)),f319(f181(f926(x35851)),x35852)) % 219.21/219.51 [3586]E(f168(x35861,x35862,f180(f932(a925,a923))),f105(x35861)) % 219.21/219.51 [3587]E(f319(f319(f146(x35871,x35871),f5(x35871)),x35872),x35872) % 219.21/219.51 [3589]E(f319(f243(a1,a1),f40(x35891,x35892)),f319(f319(f30(a1),x35891),x35892)) % 219.21/219.51 [3606]E(f319(f181(f926(x36061)),f144(x36061,x36062)),f319(f29(x36061),f319(f164(x36061),x36062))) % 219.21/219.51 [3607]E(f319(f273(x36071),f319(f278(x36071,x36071),x36072)),f319(f273(x36071),x36072)) % 219.21/219.51 [3611]P1(f319(f55(x36111),f319(f164(x36111),x36112))) % 219.21/219.51 [3619]E(f319(f319(f74(a1),x36191),f319(f73(a1),x36192)),f319(f319(f23(a1),x36191),x36192)) % 219.21/219.51 [3626]P25(x36261,x36262,f180(f932(f924(x36261),a923))) % 219.21/219.51 [3628]E(f319(f302(x36281,x36281,f5(x36281)),x36282),x36282) % 219.21/219.51 [3629]E(f319(f302(x36291,x36291,f25(x36291)),x36292),x36292) % 219.21/219.51 [3630]E(f319(f303(x36301,x36301,f5(x36301)),x36302),x36302) % 219.21/219.51 [3631]E(f319(f303(x36311,x36311,f25(x36311)),x36312),x36312) % 219.21/219.51 [3632]P1(f319(f234(f932(x36321,a923)),x36322)) % 219.21/219.51 [3634]E(f319(f29(a925),f319(f294(a925,x36341),x36342)),f319(f319(f23(a925),x36342),x36341)) % 219.21/219.51 [3635]E(f319(f294(a925,f319(a104,x36351)),x36352),f298(a925,x36351,x36352)) % 219.21/219.51 [3648]E(f319(f319(f301(x36481),x36482),f180(f932(x36481,a923))),f319(f254(x36481),f319(a316,x36482))) % 219.21/219.51 [3653]E(f299(x36531,f319(f278(x36531,x36531),x36532)),f319(f278(x36531,x36531),f299(x36531,x36532))) % 219.21/219.51 [3658]E(f319(f319(f74(a925),f319(a104,x36581)),x36582),f319(f319(f74(a925),x36581),f319(a104,x36582))) % 219.21/219.51 [3659]E(f319(f319(f23(a925),f319(a104,x36591)),f319(a104,x36592)),f319(f319(f23(a925),x36591),x36592)) % 219.21/219.51 [3665]E(f49(x36651,f2(a925),x36652),f319(f319(f143(f926(x36651)),f105(x36651)),f105(f926(x36651)))) % 219.21/219.51 [3666]E(f319(f29(a925),f297(a925,x36661,x36662)),f319(f319(f23(a925),x36662),x36661)) % 219.21/219.51 [3675]P38(x36751,f319(f319(f280(a925,x36751),a232),x36752)) % 219.21/219.51 [3677]P14(a925,f131(a925,f319(f294(a925,x36771),x36772))) % 219.21/219.51 [3679]P1(f319(f55(a925),f319(f294(a925,x36791),x36792))) % 219.21/219.51 [3680]P1(f319(f55(a1),f319(f294(a1,x36801),x36802))) % 219.21/219.51 [3683]E(f319(f278(f926(x36831),f926(x36831)),f149(x36831,x36832)),f149(x36831,f319(f278(x36831,x36831),x36832))) % 219.21/219.51 [3685]E(f319(f294(a1,x36851),f319(f319(f74(a1),x36852),f72(a1))),f295(a1,x36851,x36852)) % 219.21/219.51 [3688]E(f319(f319(f30(a1),f319(f73(a1),x36881)),f319(f73(a1),x36882)),f319(f319(f30(a1),x36881),x36882)) % 219.21/219.51 [3696]E(f319(f319(f175(f931(x36961,x36961),a923),f72(a925)),x36962),x36962) % 219.21/219.51 [3698]E(f319(f319(f102(f932(x36981,a923)),x36982),f180(f932(x36981,a923))),x36982) % 219.21/219.51 [3699]E(f319(f319(f93(f932(x36991,a923)),x36992),f234(f932(x36991,a923))),x36992) % 219.21/219.51 [3700]E(f319(f319(f23(f932(x37001,a923)),x37002),f180(f932(x37001,a923))),x37002) % 219.21/219.51 [3701]E(f319(f243(a925,a925),f79(f931(a925,a925),f42(x37011,x37012))),f319(f319(f30(a925),x37011),x37012)) % 219.21/219.51 [3707]E(f295(a1,f319(f319(f74(a1),x37071),f72(a1)),x37072),f297(a1,x37071,x37072)) % 219.21/219.51 [3712]E(f319(f248(a925,a925),f79(f931(a925,a925),f42(x37121,x37122))),f39(a925,x37121,x37122)) % 219.21/219.51 [3722]P1(f319(f319(f321(x37221),x37222),f234(f932(x37221,a923)))) % 219.21/219.51 [3727]E(f319(f319(f23(a925),f319(a104,x37271)),x37272),f319(f29(a925),f295(a925,x37272,x37271))) % 219.21/219.51 [3753]E(f319(f319(f102(f932(x37531,a923)),x37532),f234(f932(x37531,a923))),f234(f932(x37531,a923))) % 219.21/219.51 [3754]E(f319(f319(f93(f932(x37541,a923)),x37542),f180(f932(x37541,a923))),f180(f932(x37541,a923))) % 219.21/219.51 [3755]E(f319(f319(f23(f932(x37551,a923)),x37552),f234(f932(x37551,a923))),f180(f932(x37551,a923))) % 219.21/219.51 [3770]E(f39(a1,f319(f73(a1),x37701),f319(f73(a1),x37702)),f319(f73(a1),f39(a1,x37701,x37702))) % 219.21/219.51 [3771]E(f39(a1,f319(f92(a1),x37711),f319(f92(a1),x37712)),f319(f92(a1),f39(a925,x37711,x37712))) % 219.21/219.51 [3782]E(f319(f181(f926(x37821)),f319(f163(x37821),x37822)),f319(f319(f23(a925),f319(f181(f926(x37821)),x37822)),f72(a925))) % 219.21/219.51 [3808]E(f319(f319(f30(a1),f39(a1,x38081,x38082)),x38082),f2(a1)) % 219.21/219.51 [3817]E(f319(a3,f39(a925,f319(a20,x38171),f319(a20,x38172))),f39(a91,x38171,x38172)) % 219.21/219.51 [3850]E(f319(a3,f319(f319(f23(a925),f319(a20,x38501)),f319(a20,x38502))),f319(f319(f23(a91),x38501),x38502)) % 219.21/219.51 [3851]E(f319(a3,f319(f319(f75(a925),f319(a20,x38511)),f319(a20,x38512))),f319(f319(f75(a91),x38511),x38512)) % 219.21/219.51 [3852]E(f319(a3,f319(f319(f74(a925),f319(a20,x38521)),f319(a20,x38522))),f319(f319(f74(a91),x38521),x38522)) % 219.21/219.51 [3853]E(f319(a3,f319(f319(f30(a925),f319(a20,x38531)),f319(a20,x38532))),f319(f319(f30(a91),x38531),x38532)) % 219.21/219.51 [3861]E(f319(f302(a925,a925,a104),f319(f294(a925,x38611),x38612)),f319(f294(a925,f319(a104,x38611)),f319(a104,x38612))) % 219.21/219.51 [3888]P1(f319(f42(x38881,x38882),f79(f931(a925,a925),f42(x38881,x38882)))) % 219.21/219.51 [3914]E(f39(a925,f319(a104,f39(a925,x39141,x39142)),x39142),f39(a925,f319(a104,x39141),x39142)) % 219.21/219.51 [3926]E(f319(f319(f34(f932(x39261,a923),f932(x39261,a923)),x39262),f5(f932(x39261,a923))),f32(f932(x39261,a923),x39262)) % 219.21/219.51 [3927]E(f319(f319(f33(f932(x39271,a923),f932(x39271,a923)),x39272),f5(f932(x39271,a923))),f31(f932(x39271,a923),x39272)) % 219.21/219.51 [3928]E(f319(f302(f926(x39281),f932(x39281,a923),f164(x39281)),f319(f164(f926(x39281)),f48(x39281,x39282))),f319(f300(x39281),f319(f164(x39281),x39282))) % 219.21/219.51 [3932]P1(f319(f319(f321(f932(x39321,a923)),x39322),f319(f300(x39321),x39322))) % 219.21/219.51 [3938]E(f39(a1,f319(f73(a1),f39(a1,x39381,x39382)),x39382),f39(a1,f319(f73(a1),x39381),x39382)) % 219.21/219.51 [3949]P1(f319(f319(f226(f932(x39491,a923)),x39492),f234(f932(x39491,a923)))) % 219.21/219.51 [3951]E(f319(f319(f281(x39511,x39511,x39511),f299(x39511,x39512)),f299(x39511,f299(x39511,x39512))),f299(x39511,x39512)) % 219.21/219.51 [3952]E(f319(f319(f102(f932(x39521,a923)),f319(f256(x39521,x39521),x39522)),f319(f276(x39521,x39521),x39522)),f319(f273(x39521),x39522)) % 219.21/219.51 [3973]E(f305(x39731,x39732,f234(f932(x39731,a923)),f234(f932(x39732,a923))),f234(f932(f933(x39731,x39732),a923))) % 219.21/219.51 [4023]P1(f319(f319(f226(a925),f39(a925,x40231,x40232)),x40231)) % 219.21/219.51 [4047]P1(f319(f319(f226(a1),f319(f73(a1),f319(f92(a1),x40471))),f319(f92(a1),x40472))) % 219.21/219.51 [4071]P1(f319(f319(f321(f932(x40711,a923)),f180(f932(x40711,a923))),f319(f300(x40711),x40712))) % 219.21/219.51 [4076]E(f299(x40761,f319(f319(f281(x40761,x40761,x40761),x40762),f299(x40761,x40762))),f299(x40761,x40762)) % 219.21/219.51 [4079]E(f319(f319(f281(x40791,x40791,x40791),f299(x40791,x40792)),x40792),f319(f319(f281(x40791,x40791,x40791),x40792),f299(x40791,x40792))) % 219.21/219.51 [4081]E(f319(a96,f319(f319(f74(a1),f319(f319(f23(a1),x40811),x40812)),f72(a1))),f319(f29(a1),f295(a1,x40812,x40811))) % 219.21/219.51 [4096]E(f319(f276(x40961,x40961),f319(f319(f281(x40961,x40961,x40961),x40962),f299(x40961,x40962))),f319(f276(x40961,x40961),x40962)) % 219.21/219.51 [4097]E(f319(f256(x40971,x40971),f319(f319(f281(x40971,x40971,x40971),x40972),f299(x40971,x40972))),f319(f256(x40971,x40971),x40972)) % 219.21/219.51 [4115]E(f319(f134(f926(x41151),f926(x41151),f126(x41151),f105(x41151)),f161(f926(x41151),x41152,f105(x41151))),f105(x41151)) % 219.21/219.51 [4124]P26(a925,a925,f319(f319(f7(a925,a925,a925),f74(a925)),x41241),x41242) % 219.21/219.51 [4126]P14(a925,f319(f160(a925),f319(f319(f146(f926(x41261),a925),f181(f926(x41261))),f171(x41261,x41262)))) % 219.21/219.51 [4156]P56(x41561,f319(f319(f102(f932(f931(x41561,x41561),a923)),x41562),f319(f278(x41561,x41561),x41562))) % 219.21/219.51 [4157]P56(x41571,f319(f319(f93(f932(f931(x41571,x41571),a923)),x41572),f319(f278(x41571,x41571),x41572))) % 219.21/219.51 [4168]P1(f319(f319(f227(a1),f319(f73(a1),f319(f92(a1),f319(a104,x41681)))),f319(f92(a1),x41682))) % 219.21/219.51 [4213]E(f319(f134(f926(x42131),x42131,f319(f7(x42131,f926(x42131),f926(x42131)),f143(x42131)),f105(x42131)),x42132),f319(f160(x42131),x42132)) % 219.21/219.51 [4262]P1(f319(f319(f226(f932(f931(f926(x42621),f926(x42621)),a923)),f150(x42621,x42622)),f299(f926(x42621),f149(x42621,x42622)))) % 219.21/219.51 [4291]P1(f319(f42(x42911,x42912),f319(f319(f244(a925,a925),f319(f319(f30(a925),x42911),x42912)),f39(a925,x42911,x42912)))) % 219.21/219.51 [4303]P1(f319(f319(f226(f932(f931(f926(x43031),f926(x43031)),a923)),f149(x43031,f299(x43031,x43032))),f299(f926(x43031),f149(x43031,x43032)))) % 219.21/219.51 [4519]E(f319(f319(f251(f931(a91,a91),a91,f931(a91,a91),f931(x45191,f931(a91,a91))),f259(f319(f157(a91),f319(f319(f146(f931(a91,x45191),a91),f243(a91,x45191)),x45192)))),f319(f319(f8(x45191,f932(f931(a91,a91),f931(x45191,f931(a91,a91))),a91),f244(x45191,f931(a91,a91))),f260(x45191,x45192))),f258(x45191,x45192)) % 219.21/219.51 [4596]E(f215(a925,f931(x45961,f927(x45961)),f2(a925),f319(f249(x45961,f927(x45961),a925),f319(f16(f932(f927(x45961),a925),x45961),f319(f319(f7(f927(x45961),a925,a925),f319(f319(f8(a925,f932(a925,a925),f927(x45961)),f74(a925)),f181(f927(x45961)))),f72(a925)))),f319(f127(x45961),x45962)),f319(f181(f927(x45961)),x45962)) % 219.21/219.51 [4702]E(f319(f249(f932(f931(x47021,x47021),a923),f932(f931(x47021,x47021),a923),f932(f932(x47022,x47021),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923)))),f319(f319(f7(f932(f931(x47021,x47021),a923),f932(f932(f931(x47021,x47021),a923),f932(f932(x47022,x47021),f932(f931(x47022,x47022),a923))),f932(f932(f931(x47021,x47021),a923),f932(f932(x47022,x47021),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923))))),f319(f319(f8(f932(f932(f932(x47022,x47021),f932(f931(x47022,x47022),a923)),f932(f932(x47022,x47021),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923)))),f932(f932(f932(f931(x47021,x47021),a923),f932(f932(x47022,x47021),f932(f931(x47022,x47022),a923))),f932(f932(f931(x47021,x47021),a923),f932(f932(x47022,x47021),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923))))),f932(f931(x47021,x47021),a923)),f8(f932(f932(x47022,x47021),f932(f931(x47022,x47022),a923)),f932(f932(x47022,x47021),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923))),f932(f931(x47021,x47021),a923))),f319(f319(f8(f932(f932(x47022,x47021),f932(f932(f931(x47022,x47022),a923),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923)))),f932(f932(f932(x47022,x47021),f932(f931(x47022,x47022),a923)),f932(f932(x47022,x47021),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923)))),f932(f931(x47021,x47021),a923)),f18(f932(x47022,x47021),f932(f931(x47022,x47022),a923),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923)))),f319(f319(f8(f932(f932(x47022,x47021),f932(f931(x47022,x47022),a923)),f932(f932(x47022,x47021),f932(f932(f931(x47022,x47022),a923),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923)))),f932(f931(x47021,x47021),a923)),f319(f8(f932(f931(x47022,x47022),a923),f932(f932(f931(x47022,x47022),a923),f931(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923))),f932(x47022,x47021)),f244(f932(f931(x47022,x47022),a923),f932(f931(x47022,x47022),a923)))),f280(x47021,x47022))))),f280(x47021,x47022))),f67(x47021,x47022)) % 219.21/219.51 [4748]~E(f319(f300(x47481),x47482),f180(f932(f932(x47481,a923),a923))) % 219.21/219.51 [4757]~P1(f319(f319(f164(x47571),f105(x47571)),x47572)) % 219.21/219.51 [4761]~P1(f319(f319(f321(x47611),x47612),f180(f932(x47611,a923)))) % 219.21/219.51 [4769]~P1(f319(f319(f227(f932(x47691,a923)),x47692),f180(f932(x47691,a923)))) % 219.21/219.51 [3637]E(f319(f319(f23(a925),x36371),f319(f319(f74(a925),x36371),x36372)),f2(a925)) % 219.21/219.51 [3640]E(f319(f319(f102(f932(x36401,a923)),x36402),x36402),x36402) % 219.21/219.51 [3641]E(f319(f319(f93(f932(x36411,a923)),x36412),x36412),x36412) % 219.21/219.51 [3669]E(f319(f319(f23(f932(x36691,a923)),x36692),x36692),f180(f932(x36691,a923))) % 219.21/219.51 [3672]E(f319(f135(x36721,x36722),f2(a925)),f180(f932(f931(f926(x36721),f926(x36721)),a923))) % 219.21/219.51 [3673]E(f319(f319(f74(a925),x36731),f319(a104,x36732)),f319(a104,f319(f319(f74(a925),x36731),x36732))) % 219.21/219.51 [3684]E(f186(f319(f92(a1),x36841),f319(f92(a1),x36842)),f319(f92(a1),f319(f319(f23(a925),x36841),x36842))) % 219.21/219.51 [3687]E(f319(f319(f30(a1),f319(f73(a1),x36871)),x36872),f319(f319(f30(a1),x36871),f319(f73(a1),x36872))) % 219.21/219.51 [3691]E(f319(f29(a1),f319(f294(a1,x36911),x36912)),f319(a96,f319(f319(f23(a1),x36912),x36911))) % 219.21/219.51 [3694]E(f319(f319(f74(a925),f319(a104,x36941)),x36942),f319(a104,f319(f319(f74(a925),x36941),x36942))) % 219.21/219.51 [3697]E(f319(f73(f932(x36971,a923)),f319(f73(f932(x36971,a923)),x36972)),x36972) % 219.21/219.51 [3709]E(f171(x37091,f319(f319(f143(f926(x37091)),f105(x37091)),x37092)),f171(x37091,x37092)) % 219.21/219.51 [3713]E(f319(f319(f74(a925),x37131),f319(f319(f75(a925),x37131),x37132)),f319(f319(f75(a925),x37131),f319(a104,x37132))) % 219.21/219.51 [3720]E(f319(f319(a24,f319(a3,x37201)),f319(a3,x37202)),f319(a3,f319(f319(f23(a925),x37201),x37202))) % 219.21/219.51 [3735]E(f319(f319(f75(a1),f319(f73(a1),x37351)),x37352),f319(f73(a1),f319(f319(f75(a1),x37351),x37352))) % 219.21/219.51 [3737]E(f319(f319(f236(a1),f319(f92(a1),x37371)),x37372),f319(f92(a1),f319(f319(f236(a925),x37371),x37372))) % 219.21/219.51 [3738]E(f319(f319(f75(a91),f319(a3,x37381)),f319(a3,x37382)),f319(a3,f319(f319(f75(a925),x37381),x37382))) % 219.21/219.51 [3739]E(f319(f319(f74(a91),f319(a3,x37391)),f319(a3,x37392)),f319(a3,f319(f319(f74(a925),x37391),x37392))) % 219.21/219.51 [3740]E(f319(f319(f224(a925),f319(a104,x37401)),f319(a104,x37402)),f319(a104,f319(f319(f224(a925),x37401),x37402))) % 219.21/219.51 [3741]E(f319(f319(f225(a925),f319(a104,x37411)),f319(a104,x37412)),f319(a104,f319(f319(f225(a925),x37411),x37412))) % 219.21/219.51 [3746]E(f319(f164(a925),f131(a925,f319(f294(a925,x37461),x37462))),f319(f294(a925,x37461),x37462)) % 219.21/219.51 [3747]E(f304(x37471,f319(f319(f301(x37471),x37472),f180(f932(x37471,a923)))),x37472) % 219.21/219.51 [3751]E(f319(f276(x37511,x37512),f180(f932(f931(x37511,x37512),a923))),f180(f932(x37512,a923))) % 219.21/219.51 [3752]E(f319(f256(x37521,x37522),f180(f932(f931(x37521,x37522),a923))),f180(f932(x37521,a923))) % 219.21/219.51 [3756]E(f319(a96,f319(f319(f23(a1),x37561),x37562)),f319(f29(a1),f297(a1,x37562,x37561))) % 219.21/219.51 [3761]E(f319(f319(f74(a925),x37611),f319(f319(f75(a925),x37612),x37611)),f319(f319(f75(a925),f319(a104,x37612)),x37611)) % 219.21/219.51 [3763]E(f319(f319(f54(x37631),f180(f932(x37631,a923))),x37632),f180(f932(f932(x37631,a923),a923))) % 219.21/219.51 [3772]E(f319(f181(f926(a925)),f131(a925,f319(f294(a925,x37721),x37722))),f319(f319(f23(a925),x37722),x37721)) % 219.21/219.51 [3787]E(f319(f319(f102(f932(x37871,a923)),f180(f932(x37871,a923))),x37872),x37872) % 219.21/219.51 [3788]E(f319(f319(f93(f932(x37881,a923)),f234(f932(x37881,a923))),x37882),x37882) % 219.21/219.51 [3789]E(f319(f319(f74(a1),f319(f73(a1),x37891)),f319(f73(a1),x37892)),f319(f73(a1),f319(f319(f74(a1),x37891),x37892))) % 219.21/219.51 [3794]E(f319(f319(f75(a1),f319(f92(a1),x37941)),f319(f92(a1),x37942)),f319(f92(a1),f319(f319(f75(a925),x37941),x37942))) % 219.21/219.51 [3795]E(f319(f319(f75(a1),f319(f95(a1),x37951)),f319(f95(a1),x37952)),f319(f95(a1),f319(f319(f75(a1),x37951),x37952))) % 219.21/219.51 [3797]E(f319(f319(f74(a1),f319(f92(a1),x37971)),f319(f92(a1),x37972)),f319(f92(a1),f319(f319(f74(a925),x37971),x37972))) % 219.21/219.51 [3798]E(f319(f319(f74(a1),f319(f95(a1),x37981)),f319(f95(a1),x37982)),f319(f95(a1),f319(f319(f74(a1),x37981),x37982))) % 219.21/219.51 [3799]E(f319(f319(f30(a1),f319(f92(a1),x37991)),f319(f92(a1),x37992)),f319(f92(a1),f319(f319(f30(a925),x37991),x37992))) % 219.21/219.51 [3818]E(f319(f319(f6(x38181,a925),f319(f16(a925,x38181),f72(a925))),x38182),f319(f29(x38181),x38182)) % 219.21/219.51 [3823]E(f319(f73(a1),f39(a1,f319(f73(a1),x38231),x38232)),f39(a1,x38231,f319(f73(a1),x38232))) % 219.21/219.51 [3825]E(f319(f164(a1),f170(x38251,f319(f319(f23(a1),x38252),f72(a1)))),f319(f294(a1,x38251),x38252)) % 219.21/219.51 [3830]P1(f319(f319(f226(a925),x38301),f319(f319(f74(a925),x38302),x38301))) % 219.21/219.51 [3831]P1(f319(f319(f226(a925),x38311),f319(f319(f74(a925),x38311),x38312))) % 219.21/219.51 [3833]E(f319(f319(f102(f932(x38331,a923)),f234(f932(x38331,a923))),x38332),f234(f932(x38331,a923))) % 219.21/219.51 [3834]E(f319(f319(f93(f932(x38341,a923)),f180(f932(x38341,a923))),x38342),f180(f932(x38341,a923))) % 219.21/219.51 [3835]E(f319(f319(f23(f932(x38351,a923)),f180(f932(x38351,a923))),x38352),f180(f932(x38351,a923))) % 219.21/219.51 [3842]E(f319(f319(f244(a1,a1),x38421),f319(f73(a1),x38422)),f319(a45,f319(f319(f244(a1,a1),x38421),x38422))) % 219.21/219.51 [3843]E(f319(f294(a1,f319(f319(f74(a1),x38431),f72(a1))),x38432),f298(a1,x38431,x38432)) % 219.21/219.51 [3854]E(f319(f319(f75(a925),x38541),f319(f319(f30(a925),x38542),x38541)),f319(f319(f23(a925),x38542),f39(a925,x38542,x38541))) % 219.21/219.51 [3855]E(f319(f319(f75(a1),x38551),f319(f319(f30(a1),x38552),x38551)),f319(f319(f23(a1),x38552),f39(a1,x38552,x38551))) % 219.21/219.51 [3858]E(f319(f164(a1),f170(f319(f319(f74(a1),x38581),f72(a1)),x38582)),f297(a1,x38581,x38582)) % 219.21/219.51 [3862]P1(f319(f319(f226(f932(x38621,a923)),x38622),x38622)) % 219.21/219.51 [3865]E(f319(f319(f102(f932(x38651,a923)),x38652),f319(f73(f932(x38651,a923)),x38652)),f234(f932(x38651,a923))) % 219.21/219.51 [3866]E(f319(f319(f93(f932(x38661,a923)),x38662),f319(f73(f932(x38661,a923)),x38662)),f180(f932(x38661,a923))) % 219.21/219.51 [3874]E(f319(f319(f23(a925),f319(f319(f23(a925),x38741),f72(a925))),x38742),f319(f319(f23(a925),x38741),f319(a104,x38742))) % 219.21/219.51 [3880]E(f319(f319(f23(f932(x38801,a923)),f234(f932(x38801,a923))),x38802),f319(f73(f932(x38801,a923)),x38802)) % 219.21/219.51 [3881]E(f319(f319(f23(a1),f319(f95(a1),x38811)),f319(f95(a1),x38812)),f319(f95(a1),f319(f319(f74(a1),x38811),f319(f73(a1),x38812)))) % 219.21/219.51 [3894]E(f319(f164(a925),f131(a925,f319(f294(a925,x38941),f319(a104,x38942)))),f295(a925,x38941,x38942)) % 219.21/219.51 [3912]E(f319(f181(f926(f926(x39121))),f48(x39121,x39122)),f319(f319(f236(a925),f319(a104,f319(a104,f2(a925)))),f319(f181(f926(x39121)),x39122))) % 219.21/219.51 [3930]E(f319(f319(f175(f931(x39301,x39301),a923),f2(a925)),x39302),f299(x39301,f180(f932(f931(x39301,x39301),a923)))) % 219.21/219.51 [3934]P1(f319(f129(a925),f131(a925,f319(f294(a925,x39341),x39342)))) % 219.21/219.51 [3950]E(f319(f302(a1,a925,a96),f295(a1,f319(f92(a1),x39501),f319(f92(a1),x39502))),f295(a925,x39501,x39502)) % 219.21/219.51 [3959]E(f177(a925,f2(a925),f5(a925),f319(f319(f23(a925),x39591),x39592)),f319(f319(f23(a925),x39591),f319(a104,x39592))) % 219.21/219.51 [3960]E(f319(a96,f319(f319(f23(a1),x39601),f319(f319(f74(a1),x39602),f72(a1)))),f319(f29(a1),f298(a1,x39602,x39601))) % 219.21/219.51 [3995]E(f319(f319(f146(a925,a925),a104),f131(a925,f319(f294(a925,x39951),x39952))),f131(a925,f319(f294(a925,f319(a104,x39951)),f319(a104,x39952)))) % 219.21/219.51 [4003]E(f319(f164(a1),f170(f319(f319(f74(a1),x40031),f72(a1)),f319(f319(f23(a1),x40032),f72(a1)))),f298(a1,x40031,x40032)) % 219.21/219.51 [4015]P1(f319(f319(f226(f932(x40151,a923)),f180(f932(x40151,a923))),x40152)) % 219.21/219.51 [4019]E(f79(x40191,f319(f319(f7(x40191,x40191,a923),a316),x40192)),x40192) % 219.21/219.51 [4020]E(f84(x40201,f319(f319(f7(x40201,x40201,a923),a316),x40202)),x40202) % 219.21/219.51 [4024]E(f319(f164(a925),f131(a925,f319(f294(a925,f319(a104,x40241)),f319(a104,x40242)))),f297(a925,x40241,x40242)) % 219.21/219.51 [4050]E(f319(f319(f246(x40501,x40502),f234(f932(x40501,a923))),f319(f16(f932(x40502,a923),x40501),f234(f932(x40502,a923)))),f234(f932(f931(x40501,x40502),a923))) % 219.21/219.51 [4083]E(f319(f254(x40831),f319(f319(f8(a923,a923,x40831),a314),x40832)),f319(f73(f932(x40831,a923)),f319(f254(x40831),x40832))) % 219.21/219.51 [4086]E(f319(f254(x40861),f319(f319(f7(x40861,x40861,a923),a316),x40862)),f319(f319(f301(x40861),x40862),f180(f932(x40861,a923)))) % 219.21/219.51 [4093]E(f319(f319(f74(a1),f319(f319(f23(a1),x40931),x40932)),f319(f319(f23(a1),x40931),x40932)),f319(f319(f23(a1),f319(f319(f74(a1),x40931),x40931)),f319(f319(f74(a1),x40932),x40932))) % 219.21/219.51 [4094]E(f319(f319(f74(a1),f319(f319(f74(a1),x40941),x40941)),f319(f319(f74(a1),x40942),x40942)),f319(f319(f74(a1),f319(f319(f74(a1),x40941),x40942)),f319(f319(f74(a1),x40941),x40942))) % 219.21/219.51 [4110]P1(f319(f319(f226(a925),f319(f29(x41101),f319(f164(x41101),x41102))),f319(f181(f926(x41101)),x41102))) % 219.21/219.51 [4111]P1(f319(f319(f226(a925),f319(f181(f926(x41111)),f144(x41111,x41112))),f319(f181(f926(x41111)),x41112))) % 219.21/219.51 [4121]E(f319(f254(x41211),f319(f319(f7(x41211,f932(x41211,a923),a923),f321(x41211)),x41212)),x41212) % 219.21/219.51 [4135]E(f319(f319(f167(x41351),f319(f319(f23(a925),f319(f181(f926(x41351)),x41352)),f72(a925))),x41352),f106(x41351,x41352)) % 219.21/219.51 [4155]E(f177(a925,f2(a925),f319(f319(f8(a925,a925,a925),a104),f319(f224(a925),x41551)),x41552),f319(f319(f224(a925),f319(a104,x41551)),x41552)) % 219.21/219.51 [4160]E(f31(f932(x41601,a923),f319(f302(f932(f931(x41601,x41601),a923),f932(x41601,a923),f273(x41601)),x41602)),f319(f273(x41601),f31(f932(f931(x41601,x41601),a923),x41602))) % 219.21/219.51 [4161]E(f177(a925,f319(a104,x41611),f319(f319(f8(a925,a925,a925),a104),f319(f225(a925),x41611)),x41612),f319(f319(f225(a925),f319(a104,x41611)),x41612)) % 219.21/219.51 [4163]E(f319(f319(f244(a1,a1),f319(f319(f30(a1),f319(f69(a1),x41631)),f319(f69(a1),x41632))),f39(a1,f319(f69(a1),x41631),f319(f69(a1),x41632))),f47(x41631,x41632)) % 219.21/219.51 [4186]P1(f319(f319(f226(f932(f932(x41861,a923),a923)),x41862),f319(f300(x41861),f31(f932(x41861,a923),x41862)))) % 219.21/219.51 [4218]E(f319(f319(f33(x42181,f932(x42181,a923)),x42182),f319(f319(f7(x42181,f932(x42181,a923),f932(x42181,a923)),f301(x42181)),f180(f932(x42181,a923)))),x42182) % 219.21/219.51 [4219]E(f319(f319(f281(x42191,x42191,x42191),f319(f278(x42191,x42191),x42192)),f299(x42191,f319(f278(x42191,x42191),x42192))),f319(f278(x42191,x42191),f319(f319(f281(x42191,x42191,x42191),x42192),f299(x42191,x42192)))) % 219.21/219.51 [4283]E(f319(f164(x42831),f319(f134(f926(x42831),f926(x42831),f126(x42831),f105(x42831)),x42832)),f319(f319(f33(f926(x42831),f932(x42831,a923)),f319(f164(f926(x42831)),x42832)),f164(x42831))) % 219.21/219.51 [4314]E(f319(f319(f102(f932(f931(x43141,x43141),a923)),f299(x43141,f180(f932(f931(x43141,x43141),a923)))),f319(f319(f281(x43141,x43141,x43141),f299(x43141,x43142)),x43142)),f299(x43141,x43142)) % 219.21/219.51 [4350]E(f319(f319(f173(x43501,x43501),x43502),x43502),f319(f319(f146(x43501,f931(x43501,x43501)),f319(f319(f18(x43501,x43501,f931(x43501,x43501)),f244(x43501,x43501)),f5(x43501))),x43502)) % 219.21/219.51 [4461]E(f319(f134(a925,f926(x44611),f319(f7(f926(x44611),a925,a925),f319(f319(f8(a925,f932(a925,a925),f926(x44611)),f225(a925)),f181(f926(x44611)))),f2(a925)),f319(f160(f926(x44611)),x44612)),f319(f181(f926(f926(x44611))),f171(x44611,x44612))) % 219.21/219.51 [4533]E(f319(f319(f280(f931(a925,f926(x45331)),f926(x45331)),f312(a925,f926(x45331),a232,f137(x45331,x45332))),f319(f319(f18(f926(x45331),f926(x45331),f931(a925,f926(x45331))),f319(f319(f8(a925,f932(f926(x45331),f931(a925,f926(x45331))),f926(x45331)),f244(a925,f926(x45331))),f181(f926(x45331)))),f5(f926(x45331)))),f138(x45331,x45332)) % 219.21/219.51 [4660]E(f319(f254(x46601),f319(f319(f8(f932(f932(x46601,a923),a923),a923,x46601),f82(f932(x46601,a923))),f319(f319(f8(f932(f932(x46601,a923),a923),f932(f932(x46601,a923),a923),x46601),f319(f18(f932(x46601,a923),a923,a923),f319(f319(f8(a923,f932(a923,a923),f932(x46601,a923)),a322),f319(f319(f7(f932(x46601,a923),f932(f932(x46601,a923),a923),a923),f321(f932(x46601,a923))),x46602)))),f321(x46601)))),f32(f932(x46601,a923),x46602)) % 219.21/219.51 [4661]E(f319(f254(x46611),f319(f319(f8(f932(f932(x46611,a923),a923),a923,x46611),f81(f932(x46611,a923))),f319(f319(f8(f932(f932(x46611,a923),a923),f932(f932(x46611,a923),a923),x46611),f319(f18(f932(x46611,a923),a923,a923),f319(f319(f8(a923,f932(a923,a923),f932(x46611,a923)),a317),f319(f319(f7(f932(x46611,a923),f932(f932(x46611,a923),a923),a923),f321(f932(x46611,a923))),x46612)))),f321(x46611)))),f31(f932(x46611,a923),x46612)) % 219.21/219.51 [4770]~P1(f319(f319(f227(a1),f319(f92(a1),x47701)),f319(f73(a1),f319(f92(a1),x47702)))) % 219.21/219.51 [3759]E(f319(f319(f23(a925),f319(f319(f74(a925),x37591),x37592)),x37592),x37591) % 219.21/219.51 [3760]E(f319(f319(f23(a925),f319(f319(f74(a925),x37601),x37602)),x37601),x37602) % 219.21/219.51 [3824]E(f319(f319(f74(a925),f319(f319(f23(a925),x38241),x38242)),x38242),f319(f319(f225(a925),x38241),x38242)) % 219.21/219.51 [3937]E(f319(f319(f75(a925),f319(f319(f30(a925),x39371),x39372)),x39372),f319(f319(f23(a925),x39371),f39(a925,x39371,x39372))) % 219.21/219.51 [3964]E(f319(f164(a925),f131(a925,f319(f294(a925,f319(a104,x39641)),x39642))),f298(a925,x39641,x39642)) % 219.21/219.51 [3972]E(f319(f92(a1),f208(f319(a96,f319(f69(a1),x39721)),f319(a96,f319(f69(a1),x39722)))),f319(f319(a209,x39721),x39722)) % 219.21/219.51 [3974]E(f319(f319(f102(f932(x39741,a923)),f319(f73(f932(x39741,a923)),x39742)),x39742),f234(f932(x39741,a923))) % 219.21/219.51 [3975]E(f319(f319(f93(f932(x39751,a923)),f319(f73(f932(x39751,a923)),x39752)),x39752),f180(f932(x39751,a923))) % 219.21/219.51 [3991]P1(f319(f319(f226(a925),f319(f319(f23(a925),x39911),x39912)),x39911)) % 219.21/219.51 [3992]P1(f319(f319(f226(a925),f319(f319(f30(a925),x39921),x39922)),x39921)) % 219.21/219.51 [4016]P1(f319(f319(f227(a925),x40161),f319(a104,f319(f319(f74(a925),x40162),x40161)))) % 219.21/219.51 [4017]P1(f319(f319(f227(a925),x40171),f319(a104,f319(f319(f74(a925),x40171),x40172)))) % 219.21/219.51 [4034]E(f319(f319(f75(a925),f319(a96,f319(f69(a1),x40341))),f319(a96,f319(f69(a1),x40342))),f319(a96,f319(f69(a1),f319(f319(f75(a1),x40341),x40342)))) % 219.21/219.51 [4046]P1(f319(f319(f226(a1),f2(a1)),f319(f319(f236(a1),f319(f69(a1),x40461)),x40462))) % 219.21/219.51 [4114]E(f319(f277(f926(x41141),f926(x41141),f150(x41141,x41142)),f319(f319(f301(f926(x41141)),f105(x41141)),f180(f932(f926(x41141),a923)))),f319(f319(f301(f926(x41141)),f105(x41141)),f180(f932(f926(x41141),a923)))) % 219.21/219.51 [4133]E(f319(f319(f102(f932(f931(x41331,x41331),a923)),f299(x41331,x41332)),f299(x41331,f180(f932(f931(x41331,x41331),a923)))),f299(x41331,x41332)) % 219.21/219.51 [4145]E(f319(f319(f30(a1),f319(f95(a1),f319(f319(f74(a1),x41451),x41451))),f319(f95(a1),f319(f319(f74(a1),x41452),x41452))),f319(f319(f30(a1),f319(f95(a1),x41451)),f319(f95(a1),x41452))) % 219.21/219.51 [4208]E(f319(f319(f236(a1),x42081),f319(f95(a925),f319(f319(f74(a1),x42082),x42082))),f319(f319(f80(a1,a1),f319(f319(f236(a1),x42081),f319(f95(a925),x42082))),f319(f319(f18(a1,a1,a1),f75(a1)),f5(a1)))) % 219.21/219.51 [4214]E(f319(f254(f932(x42141,a923)),f319(f319(f7(f932(x42141,a923),f932(x42141,a923),a923),f226(f932(x42141,a923))),x42142)),f319(f300(x42141),x42142)) % 219.21/219.51 [4230]E(f319(f319(f146(a1,a925),a96),f319(f319(f126(a1),f319(f319(f146(a925,a1),f92(a1)),x42301)),f319(f319(f146(a925,a1),f92(a1)),x42302))),f319(f319(f126(a925),x42301),x42302)) % 219.21/219.51 [4261]E(f319(f302(a1,a1,f319(f319(f7(a1,a1,a1),f74(a1)),x42611)),f319(f294(a1,f2(a1)),f319(f319(f23(a1),x42612),x42611))),f319(f294(a1,x42611),x42612)) % 219.21/219.51 [4263]P58(x42631,f319(f319(f23(f932(f931(x42631,x42631),a923)),x42632),f299(x42631,f180(f932(f931(x42631,x42631),a923))))) % 219.21/219.51 [4281]E(f319(f181(f926(x42811)),f319(f134(f926(x42811),f926(x42811),f126(x42811),f105(x42811)),x42812)),f319(f157(a925),f319(f319(f146(f926(x42811),a925),f181(f926(x42811))),x42812))) % 219.21/219.51 [4285]P57(x42851,f234(f932(x42851,a923)),f319(f319(f102(f932(f931(x42851,x42851),a923)),x42852),f299(x42851,f180(f932(f931(x42851,x42851),a923))))) % 219.21/219.51 [4330]E(f177(a925,f2(a925),f319(f319(f8(a925,a925,a925),a104),f319(f319(f7(a925,a925,a925),f224(a925)),x43301)),x43302),f319(f319(f224(a925),x43302),f319(a104,x43301))) % 219.21/219.51 [4333]E(f177(a925,f319(a104,x43331),f319(f319(f8(a925,a925,a925),a104),f319(f319(f7(a925,a925,a925),f225(a925)),x43331)),x43332),f319(f319(f225(a925),x43332),f319(a104,x43331))) % 219.21/219.51 [4336]E(f319(f302(x43361,f926(x43361),f319(f319(f7(x43361,f926(x43361),f926(x43361)),f143(x43361)),f105(x43361))),x43362),f166(x43361,x43362,f319(f319(f301(f926(x43361)),f105(x43361)),f180(f932(f926(x43361),a923))))) % 219.21/219.51 [4338]E(f319(f319(f102(f932(f931(x43381,x43381),a923)),f319(f319(f281(x43381,x43381,x43381),x43382),f299(x43381,x43382))),f299(x43381,f180(f932(f931(x43381,x43381),a923)))),f299(x43381,x43382)) % 219.21/219.51 [4345]P1(f319(f319(f226(f932(f931(x43451,x43451),a923)),f255(x43451,x43452)),f319(f319(f246(x43451,x43451),x43452),f319(f16(f932(x43451,a923),x43451),x43452)))) % 219.21/219.51 [4348]E(f319(f302(a1,a925,a96),f319(f319(f102(f932(a1,a923)),f319(f302(a925,a1,f92(a1)),x43481)),f319(f302(a925,a1,f92(a1)),x43482))),f319(f319(f102(f932(a925,a923)),x43481),x43482)) % 219.21/219.51 [4349]E(f319(f302(a1,a925,a96),f319(f319(f93(f932(a1,a923)),f319(f302(a925,a1,f92(a1)),x43491)),f319(f302(a925,a1,f92(a1)),x43492))),f319(f319(f93(f932(a925,a923)),x43491),x43492)) % 219.21/219.51 [4352]E(f319(f254(x43521),f319(f319(f8(a923,a923,x43521),a314),f319(f319(f7(x43521,f932(x43521,a923),a923),f321(x43521)),x43522))),f319(f73(f932(x43521,a923)),x43522)) % 219.21/219.51 [4379]E(f319(f134(f926(x43791),f926(x43791),f126(x43791),f105(x43791)),f319(f319(f146(f926(x43791),f926(x43791)),f160(x43791)),f319(f160(f926(x43791)),x43792))),f319(f160(x43791),f319(f134(f926(x43791),f926(x43791),f126(x43791),f105(x43791)),x43792))) % 219.21/219.51 [4405]E(f319(f319(f33(a925,f932(f931(x44051,x44051),a923)),f234(f932(a925,a923))),f319(f319(f7(a925,f932(f931(x44051,x44051),a923),f932(f931(x44051,x44051),a923)),f175(f931(x44051,x44051),a923)),x44052)),f299(x44051,x44052)) % 219.21/219.51 [4423]E(f79(x44231,f319(f319(f8(f932(x44231,a923),a923,x44231),f319(a316,x44232)),f319(f319(f7(x44231,f932(x44231,a923),f932(x44231,a923)),f301(x44231)),f180(f932(x44231,a923))))),f304(x44231,x44232)) % 219.21/219.51 [4431]E(f319(f181(f926(x44311)),f144(x44311,f319(f134(f926(x44311),f926(x44311),f126(x44311),f105(x44311)),x44312))),f319(f29(x44311),f319(f319(f33(f926(x44311),f932(x44311,a923)),f319(f164(f926(x44311)),x44312)),f164(x44311)))) % 219.21/219.51 [4445]E(f319(f319(f102(f932(f931(x44451,x44451),a923)),x44452),f319(f319(f281(x44451,x44451,x44451),f319(f319(f281(x44451,x44451,x44451),x44452),f299(x44451,x44452))),x44452)),f319(f319(f281(x44451,x44451,x44451),x44452),f299(x44451,x44452))) % 219.21/219.51 [4469]P1(f319(f319(f226(f932(f931(x44691,x44691),a923)),f319(f319(f281(x44691,x44691,x44691),x44692),f299(x44691,x44692))),f319(f319(f246(x44691,x44691),f319(f273(x44691),x44692)),f319(f16(f932(x44691,a923),x44691),f319(f273(x44691),x44692))))) % 219.21/219.51 [4510]E(f319(f254(f926(x45101)),f319(f319(f7(f926(x45101),f932(x45101,a923),a923),f319(f319(f8(f932(x45101,a923),f932(f932(x45101,a923),a923),f926(x45101)),f226(f932(x45101,a923))),f164(x45101))),x45102)),f153(x45101,x45102)) % 219.21/219.51 [4521]E(f319(f148(f926(x45211),x45211,f105(x45211),f319(f319(f8(f926(x45211),f932(f926(x45211),f926(x45211)),x45211),f319(f7(f926(x45211),f926(x45211),f926(x45211)),f126(x45211))),f319(f319(f7(x45211,f926(x45211),f926(x45211)),f143(x45211)),f105(x45211)))),x45212),f319(f159(x45211),x45212)) % 219.21/219.51 [4561]P26(f932(x45611,x45612),f932(f931(x45611,x45612),a923),f319(f319(f8(f932(f931(x45611,x45612),a923),f932(f931(x45611,x45612),a923),f932(x45611,x45612)),f254(f931(x45611,x45612))),f319(f319(f8(f932(x45611,f932(x45612,a923)),f932(f931(x45611,x45612),a923),f932(x45611,x45612)),f249(x45611,x45612,a923)),f319(f8(x45612,f932(x45612,a923),x45611),f319(f7(x45612,x45612,a923),a316)))),f234(f932(f932(x45611,x45612),a923))) % 219.21/219.51 [4566]E(f39(a1,f319(f95(a1),f319(f319(f74(a1),x45661),x45661)),f319(f95(a1),f319(f319(f74(a1),x45662),x45662))),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f39(a1,f319(f95(a1),x45661),f319(f95(a1),x45662)))) % 219.21/219.51 [4610]E(f319(f319(f33(x46101,f932(f931(x46101,x46101),a923)),x46102),f319(f319(f7(x46101,f932(f931(x46101,x46101),a923),f932(f931(x46101,x46101),a923)),f319(f319(f8(f931(x46101,x46101),f932(f932(f931(x46101,x46101),a923),f932(f931(x46101,x46101),a923)),x46101),f301(f931(x46101,x46101))),f319(f319(f18(x46101,x46101,f931(x46101,x46101)),f244(x46101,x46101)),f5(x46101)))),f180(f932(f931(x46101,x46101),a923)))),f255(x46101,x46102)) % 219.21/219.51 [4618]E(f194(x46181,f319(f319(f244(a1,a1),f319(f73(a1),f319(f319(f66(f931(a1,a1),a1,x46181,f243(a1,a1)),f204(x46181)),x46182))),f319(f319(f66(f931(a1,a1),a1,x46181,f248(a1,a1)),f204(x46181)),x46182))),f219(x46181,x46182)) % 219.21/219.51 [4699]E(f319(f254(f932(x46991,a923)),f319(f319(f8(f932(f932(x46991,a923),a923),a923,f932(x46991,a923)),f81(f932(x46991,a923))),f319(f319(f7(f932(x46991,a923),f932(f932(x46991,a923),a923),f932(f932(x46991,a923),a923)),f319(f319(f8(f932(f932(x46991,a923),f932(a923,a923)),f932(f932(f932(x46991,a923),a923),f932(f932(x46991,a923),a923)),f932(x46991,a923)),f18(f932(x46991,a923),a923,a923)),f319(f319(f8(f932(f932(x46991,a923),a923),f932(f932(x46991,a923),f932(a923,a923)),f932(x46991,a923)),f319(f8(a923,f932(a923,a923),f932(x46991,a923)),a317)),f319(f319(f7(f932(x46991,a923),f932(f932(x46991,a923),f932(x46991,a923)),f932(f932(x46991,a923),a923)),f319(f319(f8(f932(f932(x46991,a923),a923),f932(f932(f932(x46991,a923),f932(x46991,a923)),f932(f932(x46991,a923),a923)),f932(x46991,a923)),f8(f932(x46991,a923),a923,f932(x46991,a923))),a316)),f73(f932(x46991,a923)))))),f319(f319(f8(f932(f932(x46991,a923),a923),a923,f932(x46991,a923)),f319(f321(f932(x46991,a923)),x46992)),f300(x46991))))),f319(f300(x46991),f319(f73(f932(x46991,a923)),x46992))) % 219.21/219.51 [4768]~E(f319(f319(f74(a1),x47681),x47681),f319(f319(f23(a1),f319(f319(f74(a1),x47682),x47682)),a89)) % 219.21/219.51 [4772]~P1(f319(f319(f227(a925),f319(f319(f74(a925),x47721),x47722)),x47722)) % 219.21/219.51 [4773]~P1(f319(f319(f227(a925),f319(f319(f74(a925),x47731),x47732)),x47731)) % 219.21/219.51 [4051]E(f319(f319(f23(a925),x40511),f319(f319(f75(a925),f319(f319(f30(a925),x40511),x40512)),x40512)),f39(a925,x40511,x40512)) % 219.21/219.51 [4052]E(f319(f319(f23(a1),x40521),f319(f319(f75(a1),f319(f319(f30(a1),x40521),x40522)),x40522)),f39(a1,x40521,x40522)) % 219.21/219.51 [4084]E(f319(f319(f146(a925,x40841),f319(f156(x40841),x40842)),f131(a925,f319(f294(a925,f2(a925)),f319(f181(f926(x40841)),x40842)))),x40842) % 219.21/219.51 [4141]E(f319(f277(x41411,x41411,f299(x41411,f180(f932(f931(x41411,x41411),a923)))),x41412),x41412) % 219.21/219.51 [4266]E(f299(x42661,f319(f319(f102(f932(f931(x42661,x42661),a923)),x42662),f299(x42661,f180(f932(f931(x42661,x42661),a923))))),f299(x42661,x42662)) % 219.21/219.51 [4267]E(f299(x42671,f319(f319(f23(f932(f931(x42671,x42671),a923)),x42672),f299(x42671,f180(f932(f931(x42671,x42671),a923))))),f299(x42671,x42672)) % 219.21/219.51 [4317]E(f319(f319(f23(a1),f319(f319(f23(a1),f319(f319(f74(a1),x43171),x43171)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),x43172),x43172)),a89)),f319(f319(f74(a1),f319(f319(f23(a1),x43171),x43172)),f319(f319(f23(a1),x43171),x43172))) % 219.21/219.51 [4357]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f74(a1),x43571),x43572)),f319(f319(f74(a1),x43571),x43572))),a89),f319(f319(f74(a1),f319(f319(f74(a1),x43571),x43571)),f319(f319(f23(a1),f319(f319(f74(a1),x43572),x43572)),a89))) % 219.21/219.51 [4382]E(f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),x43821),x43821)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),x43822),x43822)),a89)),f319(f319(f74(a1),f319(f319(f74(a1),x43821),f319(f319(f23(a1),x43822),a89))),f319(f319(f74(a1),x43821),f319(f319(f23(a1),x43822),a89)))) % 219.21/219.51 [4393]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),x43931),x43932)),f319(f319(f23(a1),x43931),x43932))),a89),f319(f319(f23(a1),f319(f319(f23(a1),f319(f319(f74(a1),x43931),x43931)),a89)),f319(f319(f74(a1),x43932),x43932))) % 219.21/219.51 [4394]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f74(a1),x43941),x43942)),f319(f319(f74(a1),x43941),x43942))),a89),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),x43941),x43941)),a89)),f319(f319(f74(a1),x43942),x43942))) % 219.21/219.51 [4442]E(f319(f92(a1),f319(f319(f30(a925),f319(f319(f75(a925),f319(a96,f319(f69(a1),x44421))),f319(a96,f319(f69(a1),x44422)))),f208(f319(a96,f319(f69(a1),x44421)),f319(a96,f319(f69(a1),x44422))))),f210(x44421,x44422)) % 219.21/219.51 [4487]E(f319(f319(f251(f931(a91,a91),a91,f931(a91,a91),f931(x44871,f931(a91,a91))),f259(f319(a3,f319(f181(f926(x44871)),x44872)))),f319(f319(f8(x44871,f932(f931(a91,a91),f931(x44871,f931(a91,a91))),a91),f244(x44871,f931(a91,a91))),f319(f319(f8(a925,x44871,a91),f319(f156(x44871),x44872)),a20))),f267(x44871,x44872)) % 219.21/219.51 [4567]E(f319(f134(a925,f926(x45671),f319(f7(f926(x45671),a925,a925),f319(f319(f8(a925,f932(a925,a925),f926(x45671)),f225(a925)),f181(f926(x45671)))),f2(a925)),f319(f160(f926(x45671)),f171(x45671,x45672))),f319(f181(f926(f926(x45671))),f319(f128(f926(x45671),f319(f319(f8(a923,a923,f926(x45671)),a314),f319(f319(f7(f926(x45671),f926(x45671),a923),a316),f105(x45671)))),x45672))) % 219.21/219.51 [4573]E(f319(f319(f33(a925,f932(x45731,a923)),f234(f932(a925,a923))),f319(f319(f7(a925,f932(a925,f932(x45731,a923)),f932(x45731,a923)),f319(f319(f8(f932(a925,a923),f932(f932(a925,f932(x45731,a923)),f932(x45731,a923)),a925),f33(a925,f932(x45731,a923))),f294(a925,f2(a925)))),x45732)),f319(f319(f33(a925,f932(x45731,a923)),f234(f932(a925,a923))),x45732)) % 219.21/219.51 [4595]P1(f319(f55(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),x45951)),f319(f319(f7(a925,a925,a923),f227(a925)),x45952))))) % 219.21/219.51 [4707]E(f319(f254(f931(f926(x47071),f926(x47071))),f319(f249(f926(x47071),f926(x47071),a923),f319(f319(f18(f926(x47071),f932(f926(x47071),a923),f932(f926(x47071),a923)),f319(f319(f8(f932(f926(x47071),f932(a923,a923)),f932(f932(f926(x47071),a923),f932(f926(x47071),a923)),f926(x47071)),f18(f926(x47071),a923,a923)),f319(f319(f8(f932(f926(x47071),a923),f932(f926(x47071),f932(a923,a923)),f926(x47071)),f319(f8(a923,f932(a923,a923),f926(x47071)),a318)),f319(f319(f7(f926(x47071),f932(f926(x47071),a925),f932(f926(x47071),a923)),f319(f319(f8(f932(a925,a923),f932(f932(f926(x47071),a925),f932(f926(x47071),a923)),f926(x47071)),f8(a925,a923,f926(x47071))),f319(f319(f8(a925,f932(a925,a923),f926(x47071)),f227(a925)),f181(f926(x47071))))),f181(f926(x47071)))))),f319(f319(f18(f926(x47071),f932(f926(x47071),a923),f932(f926(x47071),a923)),f319(f319(f8(f932(f926(x47071),f932(a923,a923)),f932(f932(f926(x47071),a923),f932(f926(x47071),a923)),f926(x47071)),f18(f926(x47071),a923,a923)),f319(f319(f8(f932(f926(x47071),a923),f932(f926(x47071),f932(a923,a923)),f926(x47071)),f319(f8(a923,f932(a923,a923),f926(x47071)),a317)),f319(f319(f7(f926(x47071),f932(f926(x47071),a925),f932(f926(x47071),a923)),f319(f319(f8(f932(a925,a923),f932(f932(f926(x47071),a925),f932(f926(x47071),a923)),f926(x47071)),f8(a925,a923,f926(x47071))),f319(f319(f8(a925,f932(a925,a923),f926(x47071)),a316),f181(f926(x47071))))),f181(f926(x47071)))))),f319(f319(f7(f926(x47071),f932(f931(f926(x47071),f926(x47071)),a923),f932(f926(x47071),a923)),f319(f319(f8(f932(f926(x47071),f932(f932(f931(f926(x47071),f926(x47071)),a923),a923)),f932(f932(f931(f926(x47071),f926(x47071)),a923),f932(f926(x47071),a923)),f926(x47071)),f7(f926(x47071),f932(f931(f926(x47071),f926(x47071)),a923),a923)),f319(f319(f8(f932(f926(x47071),f931(f926(x47071),f926(x47071))),f932(f926(x47071),f932(f932(f931(f926(x47071),f926(x47071)),a923),a923)),f926(x47071)),f319(f8(f931(f926(x47071),f926(x47071)),f932(f932(f931(f926(x47071),f926(x47071)),a923),a923),f926(x47071)),f321(f931(f926(x47071),f926(x47071))))),f244(f926(x47071),f926(x47071))))),f137(x47071,x47072)))))),f138(x47071,x47072)) % 219.21/219.51 [4385]E(f319(f319(f74(a1),f319(f319(f74(a1),f319(f319(f75(a1),x43851),x43852)),f319(f319(f75(a1),x43851),x43852))),x43852),f319(f319(f75(a1),f319(f319(f23(a1),f319(f319(f74(a1),x43851),x43851)),a89)),x43852)) % 219.21/219.51 [4486]E(f319(a96,f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x44861),x44862)),f180(f932(f931(a925,a925),a923)))))),f319(f319(f23(a925),x44861),x44862)) % 219.21/219.51 [4490]E(f319(f319(f281(x44901,x44901,x44901),f319(f319(f102(f932(f931(x44901,x44901),a923)),x44902),f299(x44901,f180(f932(f931(x44901,x44901),a923))))),f299(x44901,f319(f319(f102(f932(f931(x44901,x44901),a923)),x44902),f299(x44901,f180(f932(f931(x44901,x44901),a923)))))),f299(x44901,x44902)) % 219.21/219.51 [4527]E(f260(x45271,f319(f128(f931(a91,x45271),f319(f249(a91,x45271,a923),f319(f319(f8(a923,f932(x45271,a923),a91),f16(a923,x45271)),f319(f227(a91),f2(a91))))),x45272)),f260(x45271,x45272)) % 219.21/219.51 [4528]E(f258(x45281,f319(f128(f931(a91,x45281),f319(f249(a91,x45281,a923),f319(f319(f8(a923,f932(x45281,a923),a91),f16(a923,x45281)),f319(f227(a91),f2(a91))))),x45282)),f258(x45281,x45282)) % 219.21/219.51 [4530]E(f319(f73(a1),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x45301),x45302)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x45302),x45301)),f180(f932(f931(a925,a925),a923)))))) % 219.21/219.51 [4586]E(f319(f319(f280(f926(a925),x45861),f137(a925,a232)),f319(f319(f7(x45861,f926(f932(x45861,a925)),f926(a925)),f319(f319(f8(f932(f932(x45861,a925),a925),f932(f926(f932(x45861,a925)),f926(a925)),x45861),f146(f932(x45861,a925),a925)),f319(f7(f932(x45861,a925),x45861,a925),f5(f932(x45861,a925))))),x45862)),f145(x45861,x45862)) % 219.21/219.51 [4607]E(f319(f319(f80(a1,a925),f319(f95(a1),f319(f319(f74(a1),x46071),a89))),f319(f319(f18(a1,a925,a925),f319(f319(f7(a1,a925,f932(a925,a925)),f319(f319(f8(a923,f932(a925,f932(a925,a925)),a1),f86(a925)),a185)),f2(a925))),f319(f319(f8(a925,a925,a1),a104),f319(f319(f8(a925,a925,a1),f319(f224(a925),x46072)),a96)))),f319(f319(f224(a925),f319(a104,x46072)),f319(f95(a925),x46071))) % 219.21/219.51 [4608]E(f319(f319(f80(a1,a925),f319(f95(a1),f319(f319(f74(a1),x46081),a89))),f319(f319(f18(a1,a925,a925),f319(f319(f7(a1,a925,f932(a925,a925)),f319(f319(f8(a923,f932(a925,f932(a925,a925)),a1),f86(a925)),a185)),f319(a104,x46082))),f319(f319(f8(a925,a925,a1),a104),f319(f319(f8(a925,a925,a1),f319(f225(a925),x46082)),a96)))),f319(f319(f225(a925),f319(a104,x46082)),f319(f95(a925),x46081))) % 219.21/219.51 [4628]E(f319(f134(f926(x46281),f926(x46281),f126(x46281),f105(x46281)),f319(f319(f146(f926(x46281),f926(x46281)),f148(f926(x46281),x46281,f105(x46281),f319(f319(f8(f926(x46281),f932(f926(x46281),f926(x46281)),x46281),f16(f926(x46281),f926(x46281))),f319(f319(f7(x46281,f926(x46281),f926(x46281)),f143(x46281)),f105(x46281))))),x46282)),f319(f319(f146(f926(x46281),x46281),f133(x46281)),f319(f128(f926(x46281),f319(f319(f8(a923,a923,f926(x46281)),a314),f319(f319(f7(f926(x46281),f926(x46281),a923),a316),f105(x46281)))),x46282))) % 219.21/219.51 [4690]E(f319(f249(a1,a1,a923),f319(f319(f7(a1,f932(a1,a923),f932(a1,a923)),f319(f319(f8(f932(a1,f932(a923,a923)),f932(f932(a1,a923),f932(a1,a923)),a1),f18(a1,a923,a923)),f319(f319(f8(f932(a1,a923),f932(a1,f932(a923,a923)),a1),f319(f8(a923,f932(a923,a923),a1),a317)),f319(f319(f8(f932(a1,a1),f932(a1,a923),a1),f319(f8(a1,a923,a1),f319(a316,x46901))),f319(f319(f8(a1,f932(a1,a1),a1),f74(a1)),f319(f75(a1),x46902)))))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),f319(a322,f319(f319(f227(a1),f2(a1)),x46902))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),f319(f319(f7(a1,a1,a923),f227(a1)),x46902))))),f319(f319(f8(a923,a923,a1),f319(a322,f319(a314,f319(f319(f227(a1),f2(a1)),x46902)))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f227(a1),x46902))),f319(f319(f7(a1,a1,a923),f226(a1)),f2(a1))))))),f43(x46901,x46902)) % 219.21/219.51 [4693]E(f319(f254(x46931),f319(f319(f8(f932(a925,a923),a923,x46931),f81(a925)),f319(f319(f7(x46931,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),x46931),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),x46931),f319(f8(a923,f932(a923,a923),a925),a317)),f319(f319(f7(x46931,f932(a925,x46931),f932(a925,a923)),f319(f319(f8(f932(x46931,a923),f932(f932(a925,x46931),f932(a925,a923)),x46931),f8(x46931,a923,a925)),a316)),f319(f156(x46931),x46932))))),f319(f319(f7(a925,a925,a923),f227(a925)),f319(f181(f926(x46931)),x46932))))),f319(f164(x46931),x46932)) % 219.21/219.51 [4500]E(f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),x45001),a89)),x45002)),f319(f319(f23(a1),f319(f319(f74(a1),x45001),a89)),x45002))),a89),f319(f319(f23(a1),f319(f319(f74(a1),x45001),x45001)),f319(f319(f23(a1),f319(f319(f74(a1),x45002),x45002)),a89))) % 219.21/219.51 [4623]E(f319(f134(f926(f926(x46231)),f926(f926(x46231)),f126(f926(x46231)),f105(f926(x46231))),f319(f319(f146(f926(x46231),f926(f926(x46231))),f148(f926(f926(x46231)),x46231,f105(f926(x46231)),f319(f16(f932(f926(x46231),f926(f926(x46231))),x46231),f319(f319(f7(f926(x46231),f926(f926(x46231)),f926(f926(x46231))),f143(f926(x46231))),f105(f926(x46231)))))),x46232)),f319(f319(f146(f926(x46231),f926(x46231)),f163(x46231)),f319(f128(f926(x46231),f319(f319(f8(a923,a923,f926(x46231)),a314),f319(f319(f7(f926(x46231),f926(x46231),a923),a316),f105(x46231)))),x46232))) % 219.21/219.51 [4633]E(f319(f319(f80(a1,a925),f319(f95(a1),f319(f319(f74(a1),x46331),a89))),f319(f319(f18(a1,a925,a925),f319(f319(f7(a1,a925,f932(a925,a925)),f319(f319(f8(a923,f932(a925,f932(a925,a925)),a1),f86(a925)),a185)),f2(a925))),f319(f319(f8(a925,a925,a1),a104),f319(f319(f7(a1,a925,a925),f319(f319(f8(a925,f932(a925,a925),a1),f224(a925)),a96)),x46332)))),f319(f319(f224(a925),f319(f95(a925),x46331)),f319(a104,x46332))) % 219.21/219.51 [4634]E(f319(f319(f80(a1,a925),f319(f95(a1),f319(f319(f74(a1),x46341),a89))),f319(f319(f18(a1,a925,a925),f319(f319(f7(a1,a925,f932(a925,a925)),f319(f319(f8(a923,f932(a925,f932(a925,a925)),a1),f86(a925)),a185)),f319(a104,x46342))),f319(f319(f8(a925,a925,a1),a104),f319(f319(f7(a1,a925,a925),f319(f319(f8(a925,f932(a925,a925),a1),f225(a925)),a96)),x46342)))),f319(f319(f225(a925),f319(f95(a925),x46341)),f319(a104,x46342))) % 219.21/219.51 [4622]E(f319(f249(x46221,x46221,a923),f319(f319(f18(x46221,a923,f932(x46221,a923)),f319(f319(f8(f932(x46221,f932(a923,a923)),f932(a923,f932(x46221,a923)),x46221),f7(x46221,a923,a923)),f319(f319(f8(f932(x46221,a923),f932(x46221,f932(a923,a923)),x46221),f319(f8(a923,f932(a923,a923),x46221),a317)),a316))),x46222)),f255(x46221,x46222)) % 219.21/219.51 [4667]E(f319(f319(f30(a925),x46671),f319(f319(f74(a925),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),x46672)),f319(f319(f30(a925),x46671),f319(a104,f319(a104,f319(a104,x46672))))) % 219.21/219.51 [4668]E(f39(a925,x46681,f319(f319(f74(a925),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),x46682)),f39(a925,x46681,f319(a104,f319(a104,f319(a104,x46682))))) % 219.21/219.51 [4669]E(f39(a925,f319(f319(f74(a925),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),x46691),x46692),f39(a925,f319(a104,f319(a104,f319(a104,x46691))),x46692)) % 219.21/219.51 [4681]E(f115(f319(x46811,f319(f319(f75(a91),f319(f95(a91),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),x46812))),f319(f192(x46811),x46812)) % 219.21/219.51 [4682]E(f319(f319(f30(a925),f319(f319(f74(a925),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),x46821)),x46822),f319(f319(f30(a925),f319(a104,f319(a104,f319(a104,x46821)))),x46822)) % 219.21/219.51 [4735]~E(f118(x47351,x47352,x47353),f111(x47351)) % 219.21/219.51 [3487]E(f319(f184(x34871,x34872),x34873),f113(x34871,x34872)) % 219.21/219.51 [3506]E(f319(f191(x35061,x35062),x35063),f319(f121(x35061),x35062)) % 219.21/219.51 [3582]E(f319(f319(f146(x35821,x35822),x35823),f105(x35821)),f105(x35822)) % 219.21/219.51 [3621]E(f319(f176(x36211,x36212,x36213),f2(a925)),x36212) % 219.21/219.51 [3623]E(f319(f319(f173(x36231,x36232),x36233),f105(x36232)),f105(f931(x36231,x36232))) % 219.21/219.51 [3638]E(f319(f181(f926(x36381)),f161(x36381,x36382,x36383)),x36382) % 219.21/219.51 [3657]E(f79(x36571,f56(x36571,x36572,x36573)),f319(f57(x36571,x36572),x36573)) % 219.21/219.51 [3661]E(f235(x36611,x36612,f235(x36612,x36611,x36613)),x36613) % 219.21/219.51 [3681]E(f319(f160(x36811),f161(x36811,x36812,x36813)),f161(x36811,x36812,x36813)) % 219.21/219.51 [3706]E(f132(x37061,x37062,f144(x37061,x37063)),f144(x37061,f132(x37061,x37062,x37063))) % 219.21/219.51 [3725]E(f319(f243(f926(x37251),f926(x37251)),f158(x37251,x37252,x37253)),f319(f128(x37251,x37252),x37253)) % 219.21/219.51 [3768]E(f319(f319(f143(x37681),x37682),f161(x37681,x37683,x37682)),f161(x37681,f319(a104,x37683),x37682)) % 219.21/219.51 [3800]E(f177(x38001,x38002,x38003,f2(a925)),x38002) % 219.21/219.51 [3801]E(f17(x38011,x38012,x38013,f2(a91)),x38012) % 219.21/219.51 [3802]E(f19(x38021,x38022,x38023,f2(a91)),x38022) % 219.21/219.51 [3809]E(f155(x38091,x38092,x38093,f105(x38091)),f105(x38092)) % 219.21/219.51 [3810]E(f122(x38101,x38102,x38103,f111(x38101)),f111(x38102)) % 219.21/219.51 [3816]E(f319(f319(f156(x38161),f319(f319(f143(x38161),x38162),x38163)),f2(a925)),x38162) % 219.21/219.51 [3844]E(f53(x38441,x38442,f105(x38441),x38443),f105(f931(x38441,x38442))) % 219.21/219.51 [3864]P26(x38641,x38642,x38643,f180(f932(x38641,a923))) % 219.21/219.51 [3968]E(f257(x39681,x39682,x39683),f319(f244(f932(a91,f932(a923,f929(f927(x39681)))),f931(a91,a91)),f35(x39681))) % 219.21/219.51 [4025]E(f319(f66(x40251,x40252,x40251,x40253),f25(x40251)),x40253) % 219.21/219.51 [4200]P1(f319(f319(f321(f931(x42001,x42001)),f319(f319(f244(x42001,x42001),x42002),x42002)),f299(x42001,x42003))) % 219.21/219.51 [4777]~P1(f319(f319(f321(f931(f926(x47771),f926(x47771))),f319(f319(f244(f926(x47771),f926(x47771)),x47772),f105(x47771))),f137(x47771,x47773))) % 219.21/219.51 [4778]~P1(f319(f319(f321(f931(f926(x47781),f926(x47781))),f319(f319(f244(f926(x47781),f926(x47781)),x47782),f105(x47781))),f139(x47781,x47783))) % 219.21/219.51 [4779]~P1(f319(f319(f321(f931(f926(x47791),f926(x47791))),f319(f319(f244(f926(x47791),f926(x47791)),x47792),f105(x47791))),f149(x47791,x47793))) % 219.21/219.51 [4780]~P1(f319(f319(f321(f931(f926(x47801),f926(x47801))),f319(f319(f244(f926(x47801),f926(x47801)),f105(x47801)),x47802)),f137(x47801,x47803))) % 219.21/219.51 [4781]~P1(f319(f319(f321(f931(f926(x47811),f926(x47811))),f319(f319(f244(f926(x47811),f926(x47811)),f105(x47811)),x47812)),f149(x47811,x47813))) % 219.21/219.51 [3557]E(f319(f319(f193(x35571),x35572),x35573),f194(x35571,f207(x35572,x35573))) % 219.21/219.51 [3610]E(f319(f278(x36101,x36102),f319(f278(x36102,x36101),x36103)),x36103) % 219.21/219.51 [3633]E(f319(f319(f173(x36331,x36332),f105(x36331)),x36333),f105(f931(x36331,x36332))) % 219.21/219.51 [3636]E(f168(x36361,x36362,f319(f274(a925),x36363)),f319(f319(f167(x36361),x36363),x36362)) % 219.21/219.51 [3654]E(f144(x36541,f319(f128(x36541,x36542),x36543)),f319(f128(x36541,x36542),f144(x36541,x36543))) % 219.21/219.51 [3655]E(f319(f276(x36551,x36552),f319(f278(x36552,x36551),x36553)),f319(f256(x36552,x36551),x36553)) % 219.21/219.51 [3656]E(f319(f256(x36561,x36562),f319(f278(x36562,x36561),x36563)),f319(f276(x36562,x36561),x36563)) % 219.21/219.51 [3674]E(f319(f128(x36741,x36742),f319(f160(x36741),x36743)),f319(f160(x36741),f319(f128(x36741,x36742),x36743))) % 219.21/219.51 [3686]E(f319(f319(f130(x36861),x36862),f319(f163(x36861),x36863)),f319(f319(f130(x36861),f319(a104,x36862)),x36863)) % 219.21/219.51 [3702]E(f319(f302(x37021,x37022,x37023),f180(f932(x37021,a923))),f180(f932(x37022,a923))) % 219.21/219.51 [3703]E(f319(f303(x37031,x37032,x37033),f234(f932(x37032,a923))),f234(f932(x37031,a923))) % 219.21/219.51 [3704]E(f319(f303(x37041,x37042,x37043),f180(f932(x37042,a923))),f180(f932(x37041,a923))) % 219.21/219.51 [3705]E(f319(f277(x37051,x37052,x37053),f180(f932(x37051,a923))),f180(f932(x37052,a923))) % 219.21/219.51 [3731]E(f112(x37311,f118(f927(x37311),x37312,x37313)),f108(x37311,x37312,f112(x37311,x37313))) % 219.21/219.51 [3733]E(f319(f319(f301(x37331),x37332),f319(f164(x37331),x37333)),f319(f164(x37331),f132(x37331,x37332,x37333))) % 219.21/219.51 [3820]E(f319(f302(f931(x38201,x38202),x38202,f248(x38201,x38202)),x38203),f319(f276(x38201,x38202),x38203)) % 219.21/219.51 [3821]E(f319(f302(f931(x38211,x38212),x38211,f243(x38211,x38212)),x38213),f319(f256(x38211,x38212),x38213)) % 219.21/219.51 [3836]E(f319(f164(x38361),f161(x38361,f319(a104,x38362),x38363)),f319(f319(f301(x38361),x38363),f180(f932(x38361,a923)))) % 219.21/219.51 [3893]E(f319(f319(f244(x38931,x38932),f319(f243(x38931,x38932),x38933)),f319(f248(x38931,x38932),x38933)),x38933) % 219.21/219.51 [3902]E(f319(f181(f927(x39021)),f118(x39021,x39022,x39023)),f319(f319(f74(a925),f319(f181(f927(x39021)),x39023)),f319(a104,f2(a925)))) % 219.21/219.51 [3904]E(f319(f319(f249(x39041,x39042,x39041),f16(x39041,x39042)),x39043),f319(f243(x39041,x39042),x39043)) % 219.21/219.51 [4030]E(f319(f66(x40301,x40301,x40302,f25(x40301)),x40303),x40303) % 219.21/219.51 [4037]E(f319(f319(f126(x40371),f161(x40371,x40372,x40373)),f319(f319(f143(x40371),x40373),f105(x40371))),f319(f319(f143(x40371),x40373),f161(x40371,x40372,x40373))) % 219.21/219.51 [4209]P1(f319(f319(f226(f932(x42091,a923)),f319(f164(x42091),f319(f128(x42091,x42092),x42093))),f319(f164(x42091),x42093))) % 219.21/219.51 [4252]P1(f319(f319(f226(f932(x42521,a923)),f319(f164(x42521),f319(f319(f167(x42521),x42522),x42523))),f319(f164(x42521),x42523))) % 219.21/219.51 [4253]P1(f319(f319(f226(f932(x42531,a923)),f319(f164(x42531),f319(f319(f130(x42531),x42532),x42533))),f319(f164(x42531),x42533))) % 219.21/219.51 [4257]P1(f319(f319(f226(f932(x42571,a923)),f319(f164(x42571),f168(x42571,x42572,x42573))),f319(f164(x42571),x42572))) % 219.21/219.51 [4258]P1(f319(f319(f226(f932(x42581,a923)),f319(f164(x42581),f162(x42581,x42582,x42583))),f319(f164(x42581),x42583))) % 219.21/219.51 [4279]P26(f931(x42791,x42792),f931(x42792,x42791),f319(f249(x42791,x42792,f931(x42792,x42791)),f319(f7(x42792,x42791,f931(x42792,x42791)),f244(x42792,x42791))),x42793) % 219.21/219.51 [4290]E(f319(f319(f319(f175(f926(x42901),f926(x42901)),f39(a925,x42902,f319(f181(f926(x42901)),x42903))),f159(x42901)),x42903),f319(f319(f319(f175(f926(x42901),f926(x42901)),x42902),f159(x42901)),x42903)) % 219.21/219.51 [4334]P1(f319(f319(f321(f931(f926(x43341),f926(x43341))),f319(f319(f244(f926(x43341),f926(x43341)),x43342),x43342)),f150(x43341,f299(x43341,x43343)))) % 219.21/219.51 [4473]E(f79(f931(x44731,x44732),f319(f319(f18(f931(x44731,x44732),x44732,a923),f319(f319(f8(x44731,f932(x44732,a923),f931(x44731,x44732)),x44733),f243(x44731,x44732))),f248(x44731,x44732))),f79(f931(x44731,x44732),f319(f249(x44731,x44732,a923),x44733))) % 219.21/219.51 [4474]E(f84(f931(x44741,x44742),f319(f319(f18(f931(x44741,x44742),x44742,a923),f319(f319(f8(x44741,f932(x44742,a923),f931(x44741,x44742)),x44743),f243(x44741,x44742))),f248(x44741,x44742))),f84(f931(x44741,x44742),f319(f249(x44741,x44742,a923),x44743))) % 219.21/219.51 [4507]E(f319(f319(f280(f931(a925,x45071),x45071),f312(a925,x45071,a232,x45072)),f319(f319(f18(x45071,x45071,f931(a925,x45071)),f319(f319(f8(a925,f932(x45071,f931(a925,x45071)),x45071),f244(a925,x45071)),x45073)),f5(x45071))),f313(x45071,x45073,x45072)) % 219.21/219.51 [4569]E(f319(f250(x45691,x45691,x45692,x45692,f5(x45691),f5(x45692)),x45693),x45693) % 219.21/219.52 [4642]E(f319(f134(f926(f926(x46421)),f926(f926(x46421)),f126(f926(x46421)),f105(f926(x46421))),f319(f319(f146(f926(x46421),f926(f926(x46421))),f319(f319(f7(f926(x46421),f926(x46421),f926(f926(x46421))),f319(f319(f8(f932(x46421,f926(x46421)),f932(f926(x46421),f926(f926(x46421))),f926(x46421)),f146(x46421,f926(x46421))),f319(f7(x46421,f926(x46421),f926(x46421)),f143(x46421)))),x46422)),f49(x46421,x46423,x46422))),f49(x46421,f319(a104,x46423),x46422)) % 219.21/219.52 [4698]E(f215(a925,f931(x46981,f927(x46981)),f2(a925),f319(f249(x46981,f927(x46981),a925),f319(f319(f7(x46981,a925,f932(f927(x46981),a925)),f319(f319(f8(f932(f927(x46981),f932(a925,a925)),f932(a925,f932(f927(x46981),a925)),x46981),f7(f927(x46981),a925,a925)),f319(f319(f8(f932(f927(x46981),a925),f932(f927(x46981),f932(a925,a925)),x46981),f319(f8(a925,f932(a925,a925),f927(x46981)),f74(a925))),f319(f319(f7(x46981,f932(f927(x46981),a925),f932(f927(x46981),a925)),f319(f319(f8(f932(a925,a925),f932(f932(f927(x46981),a925),f932(f927(x46981),a925)),x46981),f8(a925,a925,f927(x46981))),f319(f319(f8(a925,f932(a925,a925),x46981),f74(a925)),x46982))),f117(x46981,x46982))))),f72(a925))),f319(f127(x46981),x46983)),f319(f117(x46981,x46982),x46983)) % 219.21/219.52 [4706]E(f319(f319(f80(a1,x47061),f210(f319(f319(f66(f931(a1,a1),a1,x47061,f248(a1,a1)),f204(x47061)),x47062),f319(f319(f66(f931(a1,a1),a1,x47061,f248(a1,a1)),f204(x47061)),x47063))),f319(f319(f18(a1,a1,x47061),f319(f319(f8(a1,f932(a1,x47061),a1),f193(x47061)),f319(f319(f18(a1,a1,a1),f319(f319(f8(a1,f932(a1,a1),a1),f74(a1)),f319(f319(f8(a1,a1,a1),f319(f75(a1),f319(f319(f66(f931(a1,a1),a1,x47061,f243(a1,a1)),f204(x47061)),x47062))),f319(f319(f7(a1,a1,a1),f30(a1)),f319(f319(f66(f931(a1,a1),a1,x47061,f248(a1,a1)),f204(x47061)),x47062))))),f319(f319(f8(a1,a1,a1),f319(f75(a1),f319(f319(f66(f931(a1,a1),a1,x47061,f243(a1,a1)),f204(x47061)),x47063))),f319(f319(f7(a1,a1,a1),f30(a1)),f319(f319(f66(f931(a1,a1),a1,x47061,f248(a1,a1)),f204(x47061)),x47063)))))),f5(a1))),f222(x47061,x47062,x47063)) % 219.21/219.52 [4730]~E(f319(f319(f143(x47301),x47302),x47303),x47303) % 219.21/219.52 [4733]~E(f319(f319(f143(x47331),x47332),x47333),f105(x47331)) % 219.21/219.52 [4739]~E(f319(f319(f301(x47391),x47392),x47393),f180(f932(x47391,a923))) % 219.21/219.52 [4759]~E(f319(f302(x47591,f932(x47591,a923),x47592),x47593),f319(f300(x47591),x47593)) % 219.21/219.52 [3615]E(f319(f319(f151(x36151,f105(x36151)),x36152),x36153),f105(x36151)) % 219.21/219.52 [3616]E(f319(f133(x36161),f319(f319(f143(x36161),x36162),x36163)),x36162) % 219.21/219.52 [3617]E(f319(f163(x36171),f319(f319(f143(x36171),x36172),x36173)),x36173) % 219.21/219.52 [3660]E(f319(f319(f130(x36601),f72(a925)),f319(f319(f143(x36601),x36602),x36603)),x36603) % 219.21/219.52 [3693]E(f106(x36931,f319(f319(f130(x36931),x36932),x36933)),f319(f319(f130(x36931),x36932),f106(x36931,x36933))) % 219.21/219.52 [3695]E(f319(f319(f151(x36951,x36952),x36953),f319(f319(f156(x36951),x36952),x36953)),x36952) % 219.21/219.52 [3715]E(f319(f319(f301(x37151),x37152),f319(f319(f301(x37151),x37152),x37153)),f319(f319(f301(x37151),x37152),x37153)) % 219.21/219.52 [3728]E(f319(f319(f301(x37281),x37282),f319(f164(x37281),x37283)),f319(f164(x37281),f319(f319(f143(x37281),x37282),x37283))) % 219.21/219.52 [3730]E(f319(f319(f130(x37301),x37302),f319(f163(x37301),x37303)),f319(f163(x37301),f319(f319(f130(x37301),x37302),x37303))) % 219.21/219.52 [3742]E(f319(f319(f167(x37421),f72(a925)),f319(f319(f143(x37421),x37422),x37423)),f319(f319(f143(x37421),x37422),f105(x37421))) % 219.21/219.52 [3785]E(f319(f57(x37851,x37852),f319(f319(f301(x37851),x37853),f180(f932(x37851,a923)))),x37853) % 219.21/219.52 [3826]E(f319(f319(f74(a925),x38261),f319(f319(f74(a925),x38262),x38263)),f319(f319(f74(a925),x38262),f319(f319(f74(a925),x38261),x38263))) % 219.21/219.52 [3827]E(f319(f319(f74(a1),x38271),f319(f319(f74(a1),x38272),x38273)),f319(f319(f74(a1),x38272),f319(f319(f74(a1),x38271),x38273))) % 219.21/219.52 [3832]E(f319(f319(f246(x38321,x38322),f180(f932(x38321,a923))),x38323),f180(f932(f931(x38321,x38322),a923))) % 219.21/219.52 [3856]E(f319(f319(f102(f932(x38561,a923)),x38562),x38563),f319(f319(f102(f932(x38561,a923)),x38563),x38562)) % 219.21/219.52 [3857]E(f319(f319(f93(f932(x38571,a923)),x38572),x38573),f319(f319(f93(f932(x38571,a923)),x38573),x38572)) % 219.21/219.52 [3859]E(f319(f319(f126(x38591),x38592),f319(f319(f143(x38591),x38593),f105(x38591))),f319(f159(x38591),f319(f319(f143(x38591),x38593),x38592))) % 219.21/219.52 [3860]E(f319(f319(f126(x38601),f319(f160(x38601),x38602)),f319(f160(x38601),x38603)),f319(f160(x38601),f319(f319(f126(x38601),x38603),x38602))) % 219.21/219.52 [3870]E(f319(f163(x38701),f319(f319(f167(x38701),f319(a104,x38702)),x38703)),f319(f319(f167(x38701),x38702),f319(f163(x38701),x38703))) % 219.21/219.52 [3878]P1(f319(f319(f321(x38781),x38782),f319(f319(f301(x38781),x38782),x38783))) % 219.21/219.52 [3882]E(f319(f319(f34(x38821,f932(x38822,a923)),f180(f932(x38821,a923))),x38823),f234(f932(x38822,a923))) % 219.21/219.52 [3885]E(f319(f277(x38851,x38851,f255(x38851,x38852)),x38853),f319(f319(f93(f932(x38851,a923)),x38852),x38853)) % 219.21/219.52 [3901]E(f319(f181(f926(x39011)),f319(f319(f143(x39011),x39012),x39013)),f319(f319(f74(a925),f319(f181(f926(x39011)),x39013)),f319(a104,f2(a925)))) % 219.21/219.52 [3906]E(f106(x39061,f319(f319(f126(x39061),x39062),f319(f319(f143(x39061),x39063),f105(x39061)))),x39062) % 219.21/219.52 [3907]E(f136(x39071,f319(f319(f126(x39071),x39072),f319(f319(f143(x39071),x39073),f105(x39071)))),x39073) % 219.21/219.52 [3915]E(f319(f319(f126(x39151),f319(f319(f167(x39151),x39152),x39153)),f319(f319(f130(x39151),x39152),x39153)),x39153) % 219.21/219.52 [3924]E(f319(f319(f23(a925),f319(f319(f74(a925),x39241),x39242)),f319(f319(f74(a925),x39243),x39242)),f319(f319(f23(a925),x39241),x39243)) % 219.21/219.52 [3925]E(f319(f319(f23(a925),f319(f319(f74(a925),x39251),x39252)),f319(f319(f74(a925),x39251),x39253)),f319(f319(f23(a925),x39252),x39253)) % 219.21/219.52 [3931]E(f319(f319(f126(x39311),f319(f160(x39311),x39312)),f319(f319(f143(x39311),x39313),f105(x39311))),f319(f160(x39311),f319(f319(f143(x39311),x39313),x39312))) % 219.21/219.52 [3933]E(f319(f319(f74(a925),f319(f181(f926(x39331)),x39332)),f319(f181(f926(x39331)),x39333)),f319(f181(f926(x39331)),f319(f319(f126(x39331),x39332),x39333))) % 219.21/219.52 [3936]E(f319(f319(f74(a925),f319(f181(f926(x39361)),x39362)),f319(f181(f926(x39361)),x39363)),f319(f181(f926(x39361)),f165(x39361,x39362,x39363))) % 219.21/219.52 [3943]E(f319(f319(f102(f932(x39431,a923)),f319(f164(x39431),x39432)),f319(f164(x39431),x39433)),f319(f164(x39431),f319(f319(f126(x39431),x39432),x39433))) % 219.21/219.52 [3944]E(f39(a925,f319(f319(f75(a925),x39441),x39442),f319(f319(f75(a925),x39441),x39443)),f319(f319(f75(a925),x39441),f39(a925,x39442,x39443))) % 219.21/219.52 [3956]E(f319(f319(f167(x39561),f319(f319(f23(a925),x39562),f72(a925))),f319(f163(x39561),x39563)),f319(f163(x39561),f319(f319(f167(x39561),x39562),x39563))) % 219.21/219.52 [3961]E(f319(f319(f93(f932(x39611,a923)),x39612),f319(f73(f932(x39611,a923)),x39613)),f319(f319(f23(f932(x39611,a923)),x39612),x39613)) % 219.21/219.52 [3962]E(f319(f319(f23(f932(x39621,a923)),x39622),f319(f73(f932(x39621,a923)),x39623)),f319(f319(f93(f932(x39621,a923)),x39622),x39623)) % 219.21/219.52 [3984]E(f319(f319(f246(x39841,x39842),x39843),f319(f16(f932(x39842,a923),x39841),f180(f932(x39842,a923)))),f180(f932(f931(x39841,x39842),a923))) % 219.21/219.52 [3986]E(f319(f319(f23(a925),f319(f319(f75(a925),x39861),x39862)),f319(f319(f75(a925),x39861),x39863)),f319(f319(f75(a925),x39861),f319(f319(f23(a925),x39862),x39863))) % 219.21/219.52 [3987]E(f319(f319(f74(a925),f319(f319(f75(a925),x39871),x39872)),f319(f319(f75(a925),x39871),x39873)),f319(f319(f75(a925),x39871),f319(f319(f74(a925),x39872),x39873))) % 219.21/219.52 [3988]E(f319(f319(f23(a1),f319(f319(f75(a1),x39881),x39882)),f319(f319(f75(a1),x39881),x39883)),f319(f319(f75(a1),x39881),f319(f319(f23(a1),x39882),x39883))) % 219.21/219.52 [3989]E(f319(f319(f74(a1),f319(f319(f75(a1),x39891),x39892)),f319(f319(f75(a1),x39891),x39893)),f319(f319(f75(a1),x39891),f319(f319(f74(a1),x39892),x39893))) % 219.21/219.52 [3990]E(f319(f319(f75(a1),f319(f319(f236(a1),x39901),x39902)),f319(f319(f236(a1),x39901),x39903)),f319(f319(f236(a1),x39901),f319(f319(f74(a925),x39902),x39903))) % 219.21/219.52 [4004]E(f319(f319(f33(x40041,f932(x40042,a923)),x40043),f319(f16(f932(x40042,a923),x40041),f180(f932(x40042,a923)))),f180(f932(x40042,a923))) % 219.21/219.52 [4006]E(f39(a925,f319(f319(f75(a925),x40061),x40062),f319(f319(f75(a925),x40063),x40062)),f319(f319(f75(a925),f39(a925,x40061,x40063)),x40062)) % 219.21/219.52 [4011]E(f39(a1,f319(f319(f23(a1),x40111),f39(a1,x40112,x40113)),x40113),f39(a1,f319(f319(f23(a1),x40111),x40112),x40113)) % 219.21/219.52 [4012]E(f39(a1,f319(f319(f75(a1),x40121),f39(a1,x40122,x40123)),x40123),f39(a1,f319(f319(f75(a1),x40121),x40122),x40123)) % 219.21/219.52 [4013]P1(f319(f319(f226(f932(x40131,a923)),x40132),f319(f319(f301(x40131),x40133),x40132))) % 219.21/219.52 [4088]E(f319(f319(f34(f932(x40881,a923),f932(x40881,a923)),x40882),f319(f102(f932(x40881,a923)),x40883)),f319(f319(f102(f932(x40881,a923)),x40883),f32(f932(x40881,a923),x40882))) % 219.21/219.52 [4089]E(f319(f319(f33(f932(x40891,a923),f932(x40891,a923)),x40892),f319(f93(f932(x40891,a923)),x40893)),f319(f319(f93(f932(x40891,a923)),x40893),f31(f932(x40891,a923),x40892))) % 219.21/219.52 [4101]E(f319(f164(x41011),f319(f319(f319(f175(f926(x41011),f926(x41011)),x41012),f159(x41011)),x41013)),f319(f164(x41011),x41013)) % 219.21/219.52 [4105]E(f319(f319(f167(x41051),f319(f181(f926(x41051)),f169(x41051,x41052,x41053))),x41053),f169(x41051,x41052,x41053)) % 219.21/219.52 [4109]E(f319(f181(f926(x41091)),f319(f319(f319(f175(f926(x41091),f926(x41091)),x41092),f159(x41091)),x41093)),f319(f181(f926(x41091)),x41093)) % 219.21/219.52 [4112]E(f319(f319(f249(x41121,x41122,x41122),f319(f16(f932(x41122,x41122),x41121),f5(x41122))),x41123),f319(f248(x41121,x41122),x41123)) % 219.21/219.52 [4118]E(f39(a1,f319(f319(f23(a1),f39(a1,x41181,x41182)),x41183),x41182),f39(a1,f319(f319(f23(a1),x41181),x41183),x41182)) % 219.21/219.52 [4119]E(f39(a1,f319(f319(f236(a1),f39(a1,x41191,x41192)),x41193),x41192),f39(a1,f319(f319(f236(a1),x41191),x41193),x41192)) % 219.21/219.52 [4122]E(f319(f319(f33(f932(f931(x41221,x41222),a923),f932(x41222,a923)),x41223),f276(x41221,x41222)),f319(f276(x41221,x41222),f31(f932(f931(x41221,x41222),a923),x41223))) % 219.21/219.52 [4123]E(f319(f319(f33(f932(f931(x41231,x41232),a923),f932(x41231,a923)),x41233),f256(x41231,x41232)),f319(f256(x41231,x41232),f31(f932(f931(x41231,x41232),a923),x41233))) % 219.21/219.52 [4146]E(f319(f66(x41461,x41461,x41461,x41462),f319(f319(f175(x41461,x41461),x41463),x41462)),f319(f319(f175(x41461,x41461),f319(a104,x41463)),x41462)) % 219.21/219.52 [4164]E(f319(f319(f130(x41641),f319(f319(f23(a925),f319(f181(f926(x41641)),x41642)),x41643)),f319(f160(x41641),x41642)),f319(f160(x41641),f319(f319(f167(x41641),x41643),x41642))) % 219.21/219.52 [4165]E(f319(f319(f167(x41651),f319(f319(f23(a925),f319(f181(f926(x41651)),x41652)),x41653)),f319(f160(x41651),x41652)),f319(f160(x41651),f319(f319(f130(x41651),x41653),x41652))) % 219.21/219.52 [4167]E(f319(f319(f74(a925),f319(f157(a925),f319(f319(f146(x41671,a925),x41672),x41673))),f319(f181(f926(x41671)),x41673)),f147(x41671,x41672,x41673)) % 219.21/219.52 [4187]E(f319(f159(x41871),f319(f319(f319(f175(f926(x41871),f926(x41871)),x41872),f159(x41871)),x41873)),f319(f319(f319(f175(f926(x41871),f926(x41871)),f319(a104,x41872)),f159(x41871)),x41873)) % 219.21/219.52 [4201]P1(f319(f319(f226(a925),f319(f181(f926(x42011)),f319(f128(x42011,x42012),x42013))),f319(f181(f926(x42011)),x42013))) % 219.21/219.52 [4217]E(f319(f319(f102(f932(f932(x42171,a923),a923)),f319(f300(x42171),x42172)),f319(f302(f932(x42171,a923),f932(x42171,a923),f319(f301(x42171),x42173)),f319(f300(x42171),x42172))),f319(f300(x42171),f319(f319(f301(x42171),x42173),x42172))) % 219.21/219.52 [4249]P1(f319(f319(f226(a925),f319(f181(f926(x42491)),f169(x42491,x42492,x42493))),f319(f181(f926(x42491)),x42493))) % 219.21/219.52 [4256]E(f319(f256(x42561,x42562),f319(f254(f931(x42561,x42562)),f319(f249(x42561,x42562,a923),x42563))),f319(f254(x42561),f319(f319(f8(f932(x42562,a923),a923,x42561),f81(x42562)),x42563))) % 219.21/219.52 [4268]E(f319(f302(a925,a925,f319(f319(f7(a925,a925,a925),f74(a925)),x42681)),f295(a925,x42682,x42683)),f295(a925,f319(f319(f74(a925),x42682),x42681),f319(f319(f74(a925),x42683),x42681))) % 219.21/219.52 [4282]E(f319(f302(a925,a925,f319(f319(f7(a925,a925,a925),f74(a925)),x42821)),f319(f294(a925,x42822),x42823)),f319(f294(a925,f319(f319(f74(a925),x42822),x42821)),f319(f319(f74(a925),x42823),x42821))) % 219.21/219.52 [4300]E(f319(f319(f173(x43001,x43002),f319(f319(f146(f931(x43001,x43002),x43001),f243(x43001,x43002)),x43003)),f319(f319(f146(f931(x43001,x43002),x43002),f248(x43001,x43002)),x43003)),x43003) % 219.21/219.52 [4305]E(f319(f319(f74(a925),f319(f319(f75(a925),x43051),f39(a925,f319(f319(f30(a925),x43052),x43051),x43053))),f39(a925,x43052,x43051)),f39(a925,x43052,f319(f319(f75(a925),x43051),x43053))) % 219.21/219.52 [4318]E(f319(f319(f126(x43181),x43182),f319(f134(f926(x43181),f926(x43181),f126(x43181),f105(x43181)),x43183)),f319(f134(f926(x43181),f926(x43181),f126(x43181),x43182),x43183)) % 219.21/219.52 [4339]P1(f319(f319(f321(f931(x43391,x43391)),f319(f319(f244(x43391,x43391),x43392),x43392)),f319(f319(f175(f931(x43391,x43391),a923),f2(a925)),x43393))) % 219.21/219.52 [4344]E(f319(f254(x43441),f319(f319(f8(f932(x43442,a923),a923,x43441),f81(x43442)),f319(f7(x43442,x43441,a923),x43443))),f319(f276(x43442,x43441),f319(f254(f931(x43442,x43441)),f319(f249(x43442,x43441,a923),x43443)))) % 219.21/219.52 [4361]E(f319(f319(f102(f932(x43611,a923)),f319(f319(f33(a925,f932(x43611,a923)),f295(a925,f72(a925),x43612)),x43613)),f319(x43613,f2(a925))),f319(f319(f33(a925,f932(x43611,a923)),f319(f293(a925),x43612)),x43613)) % 219.21/219.52 [4376]E(f319(f134(f926(x43761),f926(x43761),f126(x43761),f105(x43761)),f319(f319(f146(f926(x43761),f926(x43761)),f128(x43761,x43762)),x43763)),f319(f128(x43761,x43762),f319(f134(f926(x43761),f926(x43761),f126(x43761),f105(x43761)),x43763))) % 219.21/219.52 [4380]E(f319(f248(f926(x43801),f926(x43801)),f158(x43801,x43802,x43803)),f319(f128(x43801,f319(f66(a923,a923,x43801,a314),x43802)),x43803)) % 219.21/219.52 [4425]E(f319(f319(f74(a1),f319(f319(f74(a1),f319(f319(f75(a1),x44251),f319(f319(f30(a1),x44252),x44251))),f39(a1,x44252,x44251))),x44253),f319(f319(f74(a1),x44252),x44253)) % 219.21/219.52 [4462]E(f319(f319(f74(a1),f319(f319(f74(a1),f319(f319(f75(a1),f319(f319(f30(a1),x44621),x44622)),x44622)),f39(a1,x44621,x44622))),x44623),f319(f319(f74(a1),x44621),x44623)) % 219.21/219.52 [4488]E(f79(f931(x44881,x44882),f319(f249(x44881,x44882,a923),f319(f319(f8(f932(x44882,f931(x44881,x44882)),f932(x44882,a923),x44881),f319(f8(f931(x44881,x44882),a923,x44882),x44883)),f244(x44881,x44882)))),f79(f931(x44881,x44882),x44883)) % 219.21/219.52 [4489]E(f84(f931(x44891,x44892),f319(f249(x44891,x44892,a923),f319(f319(f8(f932(x44892,f931(x44891,x44892)),f932(x44892,a923),x44891),f319(f8(f931(x44891,x44892),a923,x44892),x44893)),f244(x44891,x44892)))),f84(f931(x44891,x44892),x44893)) % 219.21/219.52 [4516]P1(f319(f319(f226(f932(x45161,a923)),f31(f932(x45161,a923),f319(f319(f93(f932(f932(x45161,a923),a923)),x45162),x45163))),f319(f319(f93(f932(x45161,a923)),f31(f932(x45161,a923),x45162)),f31(f932(x45161,a923),x45163)))) % 219.21/219.52 [4517]E(f319(f160(x45171),f319(f319(f319(f175(f926(x45171),f926(x45171)),f319(f319(f23(a925),f319(f181(f926(x45171)),x45172)),f39(a925,x45173,f319(f181(f926(x45171)),x45172)))),f159(x45171)),x45172)),f319(f319(f319(f175(f926(x45171),f926(x45171)),x45173),f159(x45171)),f319(f160(x45171),x45172))) % 219.21/219.52 [4554]P1(f319(f319(f226(a925),f319(f181(f926(x45541)),f319(f319(f130(x45541),f319(f181(f926(x45541)),f169(x45541,x45542,x45543))),x45543))),f319(f181(f926(x45541)),x45543))) % 219.21/219.52 [4771]~P1(f319(f56(x47711,x47712,f180(f932(x47711,a923))),x47713)) % 219.21/219.52 [4776]~P1(f319(f319(f321(f931(x47761,x47761)),f319(f319(f244(x47761,x47761),x47762),x47763)),f145(x47761,f105(f932(x47761,a925))))) % 219.21/219.52 [3871]E(f319(f181(f926(x38711)),f319(f319(f167(x38711),x38712),x38713)),f319(f319(f224(a925),f319(f181(f926(x38711)),x38713)),x38712)) % 219.21/219.52 [3872]E(f319(f181(f926(x38721)),f319(f319(f130(x38721),x38722),x38723)),f319(f319(f23(a925),f319(f181(f926(x38721)),x38723)),x38722)) % 219.21/219.52 [3900]E(f319(f181(f926(f926(x39001))),f49(x39001,x39002,x39003)),f319(f319(f236(a925),f319(f181(f926(x39001)),x39003)),x39002)) % 219.21/219.52 [3917]E(f319(f319(f30(a925),f319(f319(f30(a925),x39171),x39172)),x39173),f319(f319(f30(a925),x39171),f319(f319(f75(a925),x39172),x39173))) % 219.21/219.52 [3918]E(f319(f319(f23(a925),f319(f319(f23(a925),x39181),x39182)),x39183),f319(f319(f23(a925),x39181),f319(f319(f74(a925),x39182),x39183))) % 219.21/219.52 [3919]E(f319(f319(f75(a925),f319(f319(f75(a925),x39191),x39192)),x39193),f319(f319(f75(a925),x39191),f319(f319(f75(a925),x39192),x39193))) % 219.21/219.52 [3920]E(f319(f319(f75(a1),f319(f319(f75(a1),x39201),x39202)),x39203),f319(f319(f75(a1),x39201),f319(f319(f75(a1),x39202),x39203))) % 219.21/219.52 [3921]E(f319(f319(f74(a925),f319(f319(f74(a925),x39211),x39212)),x39213),f319(f319(f74(a925),x39211),f319(f319(f74(a925),x39212),x39213))) % 219.21/219.52 [3922]E(f319(f319(f74(a1),f319(f319(f74(a1),x39221),x39222)),x39223),f319(f319(f74(a1),x39221),f319(f319(f74(a1),x39222),x39223))) % 219.21/219.52 [3923]E(f319(f319(f236(a1),f319(f319(f236(a1),x39231),x39232)),x39233),f319(f319(f236(a1),x39231),f319(f319(f75(a925),x39232),x39233))) % 219.21/219.52 [3942]E(f154(x39421,f319(f319(f143(f932(x39421,a923)),x39422),x39423)),f166(x39421,x39422,f154(x39421,x39423))) % 219.21/219.52 [3985]E(f319(f319(f23(a925),f319(f319(f23(a925),x39851),x39852)),x39853),f319(f319(f23(a925),f319(f319(f23(a925),x39851),x39853)),x39852)) % 219.21/219.52 [3993]E(f319(f319(f93(f932(x39931,a923)),x39932),f319(f319(f23(f932(x39931,a923)),x39933),x39932)),f180(f932(x39931,a923))) % 219.21/219.52 [3997]E(f319(f319(f146(a925,x39971),f319(f16(x39971,a925),x39972)),f131(a925,f319(f294(a925,f2(a925)),x39973))),f161(x39971,x39973,x39972)) % 219.21/219.52 [4035]E(f32(f932(x40351,a923),f319(f319(f301(f932(x40351,a923)),x40352),x40353)),f319(f319(f93(f932(x40351,a923)),x40352),f32(f932(x40351,a923),x40353))) % 219.21/219.52 [4036]E(f31(f932(x40361,a923),f319(f319(f301(f932(x40361,a923)),x40362),x40363)),f319(f319(f102(f932(x40361,a923)),x40362),f31(f932(x40361,a923),x40363))) % 219.21/219.52 [4038]E(f161(x40381,f319(f181(f926(x40381)),f319(f128(x40381,f319(a316,x40382)),x40383)),x40382),f319(f128(x40381,f319(a316,x40382)),x40383)) % 219.21/219.52 [4040]E(f319(f319(f23(a925),f319(f319(f75(a925),x40401),x40402)),f319(f319(f75(a925),x40403),x40402)),f319(f319(f75(a925),f319(f319(f23(a925),x40401),x40403)),x40402)) % 219.21/219.52 [4041]E(f319(f319(f74(a925),f319(f319(f75(a925),x40411),x40412)),f319(f319(f75(a925),x40413),x40412)),f319(f319(f75(a925),f319(f319(f74(a925),x40411),x40413)),x40412)) % 219.21/219.52 [4042]E(f319(f319(f23(a1),f319(f319(f75(a1),x40421),x40422)),f319(f319(f75(a1),x40423),x40422)),f319(f319(f75(a1),f319(f319(f23(a1),x40421),x40423)),x40422)) % 219.21/219.52 [4043]E(f319(f319(f74(a1),f319(f319(f75(a1),x40431),x40432)),f319(f319(f75(a1),x40433),x40432)),f319(f319(f75(a1),f319(f319(f74(a1),x40431),x40433)),x40432)) % 219.21/219.52 [4045]E(f319(f319(f224(a925),f319(f319(f23(a925),x40451),x40452)),f319(f319(f23(a925),x40453),x40452)),f319(f319(f23(a925),f319(f319(f224(a925),x40451),x40453)),x40452)) % 219.21/219.52 [4065]E(f319(f319(f93(f932(f926(x40651),a923)),f152(x40651,x40652)),f152(x40651,x40653)),f152(x40651,f319(f319(f93(f932(x40651,a923)),x40652),x40653))) % 219.21/219.52 [4068]E(f319(f319(f102(f932(x40681,a923)),x40682),f319(f319(f102(f932(x40681,a923)),x40682),x40683)),f319(f319(f102(f932(x40681,a923)),x40682),x40683)) % 219.21/219.52 [4069]E(f319(f319(f102(f932(x40691,a923)),x40692),f319(f319(f23(f932(x40691,a923)),x40693),x40692)),f319(f319(f102(f932(x40691,a923)),x40692),x40693)) % 219.21/219.52 [4070]E(f319(f319(f93(f932(x40701,a923)),x40702),f319(f319(f93(f932(x40701,a923)),x40702),x40703)),f319(f319(f93(f932(x40701,a923)),x40702),x40703)) % 219.21/219.52 [4082]E(f319(f319(f281(x40821,x40822,x40822),x40823),f299(x40822,f180(f932(f931(x40822,x40822),a923)))),x40823) % 219.21/219.52 [4085]E(f319(f319(f102(f932(x40851,a923)),f319(f319(f301(x40851),x40852),f180(f932(x40851,a923)))),x40853),f319(f319(f301(x40851),x40852),x40853)) % 219.21/219.52 [4104]E(f319(f319(f23(a925),f319(f319(f23(a925),f319(a104,x41041)),x41042)),f319(a104,x41043)),f319(f319(f23(a925),f319(f319(f23(a925),x41041),x41042)),x41043)) % 219.21/219.52 [4131]E(f319(f319(f93(f932(f932(x41311,a923),a923)),f319(f300(x41311),x41312)),f319(f300(x41311),x41313)),f319(f300(x41311),f319(f319(f93(f932(x41311,a923)),x41312),x41313))) % 219.21/219.52 [4134]E(f319(f319(f102(f932(x41341,a923)),f319(f73(f932(x41341,a923)),x41342)),x41343),f319(f73(f932(x41341,a923)),f319(f319(f23(f932(x41341,a923)),x41342),x41343))) % 219.21/219.52 [4143]E(f319(f319(f301(x41431),x41432),f319(f319(f23(f932(x41431,a923)),x41433),f319(f319(f301(x41431),x41432),f180(f932(x41431,a923))))),f319(f319(f301(x41431),x41432),x41433)) % 219.21/219.52 [4153]P1(f319(f319(f226(f932(x41531,a923)),x41532),f319(f319(f102(f932(x41531,a923)),x41533),x41532))) % 219.21/219.52 [4154]P1(f319(f319(f226(f932(x41541,a923)),x41542),f319(f319(f102(f932(x41541,a923)),x41542),x41543))) % 219.21/219.52 [4158]E(f319(f319(f93(f932(x41581,a923)),f319(f73(f932(x41581,a923)),x41582)),f319(f73(f932(x41581,a923)),x41583)),f319(f73(f932(x41581,a923)),f319(f319(f102(f932(x41581,a923)),x41582),x41583))) % 219.21/219.52 [4159]E(f319(f319(f102(f932(x41591,a923)),f319(f73(f932(x41591,a923)),x41592)),f319(f73(f932(x41591,a923)),x41593)),f319(f73(f932(x41591,a923)),f319(f319(f93(f932(x41591,a923)),x41592),x41593))) % 219.21/219.52 [4173]P1(f319(f319(f226(f932(x41731,a923)),f319(f164(x41731),x41732)),f319(f164(x41731),f319(f319(f143(x41731),x41733),x41732)))) % 219.21/219.52 [4185]E(f319(f319(f102(f932(x41851,a923)),f319(f319(f23(f932(x41851,a923)),x41852),x41853)),f319(f319(f93(f932(x41851,a923)),x41852),x41853)),x41852) % 219.21/219.52 [4236]E(f319(f319(f6(x42361,a1),f319(f319(f8(a925,a1,x42361),f92(a1)),x42362)),x42363),f319(f92(a1),f319(f319(f6(x42361,a925),x42362),x42363))) % 219.21/219.52 [4237]E(f319(f319(f9(x42371,a1),f319(f319(f8(a925,a1,x42371),f92(a1)),x42372)),x42373),f319(f92(a1),f319(f319(f9(x42371,a925),x42372),x42373))) % 219.21/219.52 [4284]E(f319(f319(f126(x42841),f169(x42841,x42842,x42843)),f319(f319(f130(x42841),f319(f181(f926(x42841)),f169(x42841,x42842,x42843))),x42843)),x42843) % 219.21/219.52 [4288]E(f319(f73(f932(f931(x42881,x42882),a923)),f319(f319(f246(x42881,x42882),x42883),f319(f16(f932(x42882,a923),x42881),f234(f932(x42882,a923))))),f319(f319(f246(x42881,x42882),f319(f73(f932(x42881,a923)),x42883)),f319(f16(f932(x42882,a923),x42881),f234(f932(x42882,a923))))) % 219.21/219.52 [4289]E(f319(f73(f932(f931(x42891,x42892),a923)),f319(f319(f246(x42891,x42892),f234(f932(x42891,a923))),f319(f16(f932(x42892,a923),x42891),x42893))),f319(f319(f246(x42891,x42892),f234(f932(x42891,a923))),f319(f16(f932(x42892,a923),x42891),f319(f73(f932(x42892,a923)),x42893)))) % 219.21/219.52 [4340]E(f319(f319(f33(f932(x43401,a923),f932(x43401,a923)),x43402),f319(f319(f7(f932(x43401,a923),f932(x43401,a923),f932(x43401,a923)),f93(f932(x43401,a923))),x43403)),f319(f319(f93(f932(x43401,a923)),f31(f932(x43401,a923),x43402)),x43403)) % 219.21/219.52 [4346]E(f319(f134(f926(x43461),f926(x43461),f126(x43461),f105(x43461)),f319(f319(f143(f926(x43461)),x43462),x43463)),f319(f319(f126(x43461),x43462),f319(f134(f926(x43461),f926(x43461),f126(x43461),f105(x43461)),x43463))) % 219.21/219.52 [4367]E(f319(f319(f301(f932(x43671,a923)),f319(f277(x43671,x43671,x43672),f319(f319(f301(x43671),x43673),f180(f932(x43671,a923))))),f180(f932(f932(x43671,a923),a923))),f319(f319(f54(x43671),f319(f319(f301(x43671),x43673),f180(f932(x43671,a923)))),x43672)) % 219.21/219.52 [4377]E(f319(f319(f74(a925),f319(f319(f75(a925),x43771),f319(f319(f30(a925),x43772),x43773))),f319(f319(f30(a925),f319(f319(f75(a925),x43771),f39(a925,x43772,x43773))),x43773)),f319(f319(f30(a925),f319(f319(f75(a925),x43771),x43772)),x43773)) % 219.21/219.52 [4378]E(f319(f319(f74(a1),f319(f319(f75(a1),x43781),f319(f319(f30(a1),x43782),x43783))),f319(f319(f30(a1),f319(f319(f75(a1),x43781),f39(a1,x43782,x43783))),x43783)),f319(f319(f30(a1),f319(f319(f75(a1),x43781),x43782)),x43783)) % 219.21/219.52 [4410]E(f319(f319(f23(f932(x44101,a923)),f319(f164(x44101),x44102)),f319(f319(f301(x44101),x44103),f180(f932(x44101,a923)))),f319(f164(x44101),f319(f128(x44101,f319(f319(f8(a923,a923,x44101),a314),f319(a316,x44103))),x44102))) % 219.21/219.52 [4460]E(f319(f319(f126(x44601),f319(f134(f926(x44601),f926(x44601),f126(x44601),f105(x44601)),x44602)),f319(f134(f926(x44601),f926(x44601),f126(x44601),f105(x44601)),x44603)),f319(f134(f926(x44601),f926(x44601),f126(x44601),f105(x44601)),f319(f319(f126(f926(x44601)),x44602),x44603))) % 219.21/219.52 [4463]E(f319(f319(f244(f926(x44631),f926(x44631)),f319(f128(x44631,x44632),x44633)),f319(f128(x44631,f319(f66(a923,a923,x44631,a314),x44632)),x44633)),f158(x44631,x44632,x44633)) % 219.21/219.52 [4466]E(f319(f319(f74(a925),f319(f319(f74(a925),f319(f319(f30(a925),x44661),x44662)),f319(f319(f30(a925),x44663),x44662))),f319(f319(f30(a925),f319(f319(f74(a925),f39(a925,x44661,x44662)),f39(a925,x44663,x44662))),x44662)),f319(f319(f30(a925),f319(f319(f74(a925),x44661),x44663)),x44662)) % 219.21/219.52 [4467]E(f319(f319(f74(a1),f319(f319(f74(a1),f319(f319(f30(a1),x44671),x44672)),f319(f319(f30(a1),x44673),x44672))),f319(f319(f30(a1),f319(f319(f74(a1),f39(a1,x44671,x44672)),f39(a1,x44673,x44672))),x44672)),f319(f319(f30(a1),f319(f319(f74(a1),x44671),x44673)),x44672)) % 219.21/219.52 [4520]E(f319(f319(f93(f932(f926(x45201),a923)),f319(f319(f7(f926(x45201),f932(f926(x45201),a923),a923),f321(f926(x45201))),f153(x45201,x45202))),f319(f319(f7(f926(x45201),f932(f926(x45201),a923),a923),f321(f926(x45201))),f153(x45201,x45203))),f152(x45201,f319(f319(f93(f932(x45201,a923)),f319(f319(f7(x45201,f932(x45201,a923),a923),f321(x45201)),x45202)),f319(f319(f7(x45201,f932(x45201,a923),a923),f321(x45201)),x45203)))) % 219.21/219.52 [4532]E(f319(f254(x45321),f319(f319(f18(x45321,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45321),a318),f319(f319(f7(x45321,x45321,a923),a316),x45322))),f319(f319(f7(x45321,f932(x45321,a923),a923),f321(x45321)),x45323))),f319(f319(f301(x45321),x45322),x45323)) % 219.21/219.52 [4552]E(f319(f319(f80(f926(f926(x45521)),f926(f926(x45521))),f48(x45521,x45522)),f319(f319(f18(f926(f926(x45521)),f926(f926(x45521)),f926(f926(x45521))),f319(f319(f8(f926(f926(x45521)),f932(f926(f926(x45521)),f926(f926(x45521))),f926(f926(x45521))),f126(f926(x45521))),f319(f146(f926(x45521),f926(x45521)),f319(f143(x45521),x45523)))),f5(f926(f926(x45521))))),f48(x45521,f319(f319(f143(x45521),x45523),x45522))) % 219.21/219.52 [4555]E(f319(f254(x45551),f319(f319(f18(x45551,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45551),a318),f319(f319(f7(x45551,f932(x45551,a923),a923),f321(x45551)),x45552))),f319(f319(f7(x45551,f932(x45551,a923),a923),f321(x45551)),x45553))),f319(f319(f102(f932(x45551,a923)),x45552),x45553)) % 219.21/219.52 [4556]E(f319(f254(x45561),f319(f319(f18(x45561,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45561),a317),f319(f319(f7(x45561,f932(x45561,a923),a923),f321(x45561)),x45562))),f319(f319(f7(x45561,f932(x45561,a923),a923),f321(x45561)),x45563))),f319(f319(f93(f932(x45561,a923)),x45562),x45563)) % 219.21/219.52 [4645]E(f319(f319(f33(x46451,f932(f932(x46451,a923),a923)),x46452),f319(f319(f7(x46451,f932(f932(x46451,a923),a923),f932(f932(x46451,a923),a923)),f319(f319(f8(f932(x46451,a923),f932(f932(f932(x46451,a923),a923),f932(f932(x46451,a923),a923)),x46451),f301(f932(x46451,a923))),f319(f319(f8(f932(x46451,a923),f932(x46451,a923),x46451),f277(x46451,x46451,x46453)),f319(f319(f7(x46451,f932(x46451,a923),f932(x46451,a923)),f301(x46451)),f180(f932(x46451,a923)))))),f180(f932(f932(x46451,a923),a923)))),f319(f319(f54(x46451),x46452),x46453)) % 219.21/219.52 [4647]E(f319(f319(f193(x46471),f319(f319(f75(a1),f319(f319(f66(f931(a1,a1),a1,x46471,f243(a1,a1)),f204(x46471)),x46472)),f319(f319(f66(f931(a1,a1),a1,x46471,f243(a1,a1)),f204(x46471)),x46473))),f319(f319(f75(a1),f319(f319(f66(f931(a1,a1),a1,x46471,f248(a1,a1)),f204(x46471)),x46472)),f319(f319(f66(f931(a1,a1),a1,x46471,f248(a1,a1)),f204(x46471)),x46473))),f220(x46471,x46472,x46473)) % 219.21/219.52 [4650]E(f319(f254(f926(x46501)),f319(f319(f18(f926(x46501),a923,a923),f319(f319(f8(a923,f932(a923,a923),f926(x46501)),a317),f319(f319(f7(f926(x46501),a925,a923),f319(f319(f8(a925,f932(a925,a923),f926(x46501)),a316),f181(f926(x46501)))),x46502))),f319(f319(f7(f926(x46501),f932(x46501,a923),a923),f319(f319(f8(f932(x46501,a923),f932(f932(x46501,a923),a923),f926(x46501)),f226(f932(x46501,a923))),f164(x46501))),f319(f164(x46501),x46503)))),f319(f164(f926(x46501)),f49(x46501,x46502,x46503))) % 219.21/219.52 [4058]E(f39(a925,f319(f319(f74(a925),f319(f319(f75(a925),x40581),x40582)),x40583),x40582),f39(a925,x40583,x40582)) % 219.21/219.52 [4103]E(f131(a925,f319(f294(a925,f319(f319(f74(a925),x41031),x41032)),x41033)),f319(f319(f130(a925),x41032),f131(a925,f319(f294(a925,x41031),x41033)))) % 219.21/219.52 [4142]E(f319(f319(f74(a1),f319(f92(a1),x41421)),f319(f319(f74(a1),f319(f92(a1),x41422)),x41423)),f319(f319(f74(a1),f319(f92(a1),f319(f319(f74(a925),x41421),x41422))),x41423)) % 219.21/219.52 [4149]E(f319(f319(f102(f932(x41491,a923)),f319(f319(f23(f932(x41491,a923)),x41492),x41493)),x41493),f319(f319(f102(f932(x41491,a923)),x41492),x41493)) % 219.21/219.52 [4150]E(f319(f319(f23(f932(x41501,a923)),f319(f319(f23(f932(x41501,a923)),x41502),x41503)),x41503),f319(f319(f23(f932(x41501,a923)),x41502),x41503)) % 219.21/219.52 [4174]E(f319(f319(f281(x41741,x41741,x41742),f299(x41741,f180(f932(f931(x41741,x41741),a923)))),x41743),x41743) % 219.21/219.52 [4182]E(f319(f319(f102(f932(x41821,a923)),f319(f273(x41821),x41822)),f319(f273(x41821),x41823)),f319(f273(x41821),f319(f319(f102(f932(f931(x41821,x41821),a923)),x41822),x41823))) % 219.21/219.52 [4192]E(f258(x41921,f319(f319(f143(f931(a91,x41921)),f319(f319(f244(a91,x41921),f2(a91)),x41922)),x41923)),f258(x41921,x41923)) % 219.21/219.52 [4194]E(f319(f319(f93(f932(x41941,a923)),f32(f932(x41941,a923),x41942)),f32(f932(x41941,a923),x41943)),f32(f932(x41941,a923),f319(f319(f102(f932(f932(x41941,a923),a923)),x41942),x41943))) % 219.21/219.52 [4195]E(f319(f319(f102(f932(x41951,a923)),f31(f932(x41951,a923),x41952)),f31(f932(x41951,a923),x41953)),f31(f932(x41951,a923),f319(f319(f102(f932(f932(x41951,a923),a923)),x41952),x41953))) % 219.21/219.52 [4232]E(f319(f319(f281(x42321,x42321,x42321),f319(f319(f175(f931(x42321,x42321),a923),x42322),x42323)),x42323),f319(f319(f175(f931(x42321,x42321),a923),f319(a104,x42322)),x42323)) % 219.21/219.52 [4276]P1(f319(f319(f226(f932(x42761,a923)),f319(f319(f93(f932(x42761,a923)),x42762),x42763)),x42763)) % 219.21/219.52 [4277]P1(f319(f319(f226(f932(x42771,a923)),f319(f319(f93(f932(x42771,a923)),x42772),x42773)),x42772)) % 219.21/219.52 [4278]P1(f319(f319(f226(f932(x42781,a923)),f319(f319(f23(f932(x42781,a923)),x42782),x42783)),x42782)) % 219.21/219.52 [4302]E(f299(x43021,f319(f319(f102(f932(f931(x43021,x43021),a923)),f299(x43021,x43022)),f299(x43021,x43023))),f299(x43021,f319(f319(f102(f932(f931(x43021,x43021),a923)),x43022),x43023))) % 219.21/219.52 [4306]E(f31(f932(x43061,a923),f319(f319(f301(f932(x43061,a923)),x43062),f319(f319(f301(f932(x43061,a923)),x43063),f180(f932(f932(x43061,a923),a923))))),f319(f319(f102(f932(x43061,a923)),x43062),x43063)) % 219.21/219.52 [4307]E(f32(f932(x43071,a923),f319(f319(f301(f932(x43071,a923)),x43072),f319(f319(f301(f932(x43071,a923)),x43073),f180(f932(f932(x43071,a923),a923))))),f319(f319(f93(f932(x43071,a923)),x43072),x43073)) % 219.21/219.52 [4312]E(f319(f319(f281(x43121,x43121,x43121),f319(f319(f175(f931(x43121,x43121),a923),x43122),x43123)),x43123),f319(f319(f281(x43121,x43121,x43121),x43123),f319(f319(f175(f931(x43121,x43121),a923),x43122),x43123))) % 219.21/219.52 [4381]E(f319(f319(f102(f932(x43811,a923)),f319(f254(x43811),f319(f319(f7(x43811,x43811,a923),a316),x43812))),x43813),f319(f319(f301(x43811),x43812),x43813)) % 219.21/219.52 [4383]E(f319(a96,f319(f319(f6(x43831,a1),f319(f319(f8(a925,a1,x43831),f92(a1)),x43832)),x43833)),f319(f319(f6(x43831,a925),x43832),x43833)) % 219.21/219.52 [4384]E(f319(a96,f319(f319(f9(x43841,a1),f319(f319(f8(a925,a1,x43841),f92(a1)),x43842)),x43843)),f319(f319(f9(x43841,a925),x43842),x43843)) % 219.21/219.52 [4457]E(f319(f148(f926(x44571),x44571,f319(f163(x44571),x44572),f319(f16(f932(f926(x44571),f926(x44571)),x44571),f319(f319(f7(f926(x44571),f926(x44571),f926(x44571)),f126(x44571)),x44572))),x44573),f319(f163(x44571),f319(f319(f126(x44571),x44573),x44572))) % 219.21/219.52 [4485]P1(f319(f319(f226(f932(f932(x44851,a923),a923)),f319(f319(f102(f932(f932(x44851,a923),a923)),f319(f300(x44851),x44852)),f319(f300(x44851),x44853))),f319(f300(x44851),f319(f319(f102(f932(x44851,a923)),x44852),x44853)))) % 219.21/219.52 [4574]E(f319(f254(x45741),f319(f319(f18(x45741,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45741),a317),f319(f319(f7(x45741,f932(x45741,a923),a923),f321(x45741)),x45742))),f319(f319(f8(a923,a923,x45741),a314),f319(f319(f7(x45741,f932(x45741,a923),a923),f321(x45741)),x45743)))),f319(f319(f23(f932(x45741,a923)),x45742),x45743)) % 219.21/219.52 [4598]E(f319(f29(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,a925,a923),f227(a925)),f319(f181(f926(x45981)),x45982)))),f319(f319(f8(x45981,a923,a925),x45983),f319(f156(x45981),x45982))))),f319(f181(f926(x45981)),f319(f128(x45981,x45983),x45982))) % 219.21/219.52 [4600]E(f319(f181(f926(x46001)),f168(x46001,x46002,x46003)),f319(f29(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,a925,a923),f227(a925)),f319(f181(f926(x46001)),x46002)))),f319(f319(f7(a925,f932(a925,a923),a923),f321(a925)),x46003))))) % 219.21/219.52 [4696]E(f319(f319(f93(f932(f931(f926(x46961),f926(x46961)),a923)),f319(f302(f931(f931(x46961,f926(x46961)),f931(x46961,f926(x46961))),f931(f926(x46961),f926(x46961)),f250(f931(x46961,f926(x46961)),f926(x46961),f931(x46961,f926(x46961)),f926(x46961),f319(f249(x46961,f926(x46961),f926(x46961)),f143(x46961)),f319(f249(x46961,f926(x46961),f926(x46961)),f143(x46961)))),f312(x46961,f926(x46961),x46962,f319(f135(x46961,x46962),x46963)))),f319(f254(f931(f926(x46961),f926(x46961))),f319(f249(f926(x46961),f926(x46961),a923),f319(f319(f7(f926(x46961),f932(f926(x46961),a923),f932(f926(x46961),a923)),f319(f319(f8(f932(a923,a923),f932(f932(f926(x46961),a923),f932(f926(x46961),a923)),f926(x46961)),f8(a923,a923,f926(x46961))),f319(f319(f8(a923,f932(a923,a923),f926(x46961)),a317),f319(f319(f7(f926(x46961),a925,a923),f319(f319(f8(a925,f932(a925,a923),f926(x46961)),a316),f181(f926(x46961)))),f319(a104,x46963))))),f319(f319(f7(f926(x46961),a925,a923),f319(f319(f8(a925,f932(a925,a923),f926(x46961)),a316),f181(f926(x46961)))),f319(a104,x46963)))))),f319(f135(x46961,x46962),f319(a104,x46963))) % 219.21/219.52 [4196]E(f39(a925,f319(a104,f319(f319(f74(a925),f319(f319(f75(a925),x41961),x41962)),x41963)),x41962),f39(a925,f319(a104,x41963),x41962)) % 219.21/219.52 [4443]E(f319(f254(x44431),f319(f319(f18(x44431,a923,a923),f319(f319(f8(a923,f932(a923,a923),x44431),a317),x44432)),x44433)),f319(f319(f93(f932(x44431,a923)),f319(f254(x44431),x44432)),f319(f254(x44431),x44433))) % 219.21/219.52 [4444]E(f319(f254(x44441),f319(f319(f18(x44441,a923,a923),f319(f319(f8(a923,f932(a923,a923),x44441),a318),x44442)),x44443)),f319(f319(f102(f932(x44441,a923)),f319(f254(x44441),x44442)),f319(f254(x44441),x44443))) % 219.21/219.52 [4446]E(f319(f319(f126(x44461),f319(f319(f130(x44461),f39(a925,x44462,f319(f181(f926(x44461)),x44463))),x44463)),f319(f319(f167(x44461),f39(a925,x44462,f319(f181(f926(x44461)),x44463))),x44463)),f319(f319(f319(f175(f926(x44461),f926(x44461)),x44462),f159(x44461)),x44463)) % 219.21/219.52 [4452]E(f319(f254(x44521),f319(f319(f18(x44521,a923,a923),f319(f319(f8(a923,f932(a923,a923),x44521),a322),x44522)),x44523)),f319(f319(f102(f932(x44521,a923)),f319(f73(f932(x44521,a923)),f319(f254(x44521),x44522))),f319(f254(x44521),x44523))) % 219.21/219.52 [4468]E(f319(f319(f74(a925),f319(f181(f926(x44681)),f319(f128(x44681,x44682),x44683))),f319(f181(f926(x44681)),f319(f128(x44681,f319(f319(f8(a923,a923,x44681),a314),x44682)),x44683))),f319(f181(f926(x44681)),x44683)) % 219.21/219.52 [4491]P1(f319(f319(f226(f932(x44911,a923)),f319(f319(f102(f932(x44911,a923)),f32(f932(x44911,a923),x44912)),f32(f932(x44911,a923),x44913))),f32(f932(x44911,a923),f319(f319(f93(f932(f932(x44911,a923),a923)),x44912),x44913)))) % 219.21/219.52 [4505]E(f319(f164(x45051),f319(f128(x45051,f319(f319(f8(a923,a923,x45051),a314),f319(f319(f7(x45051,x45051,a923),a316),x45052))),x45053)),f319(f319(f23(f932(x45051,a923)),f319(f164(x45051),x45053)),f319(f319(f301(x45051),x45052),f180(f932(x45051,a923))))) % 219.21/219.52 [4514]P1(f319(f319(f226(f932(f931(x45141,x45141),a923)),f319(f319(f102(f932(f931(x45141,x45141),a923)),f299(x45141,x45142)),f299(x45141,x45143))),f299(x45141,f319(f319(f102(f932(f931(x45141,x45141),a923)),x45142),x45143)))) % 219.21/219.52 [4537]E(f319(f319(f75(a925),f319(a104,f319(a104,f2(a925)))),f319(f319(f6(a925,a925),f319(f319(f8(a925,a925,a925),f319(f74(a925),x45371)),f319(f319(f7(a925,a925,a925),f75(a925)),x45372))),f319(f274(a925),x45373))),f319(f319(f75(a925),x45373),f319(f319(f74(a925),x45371),f319(f319(f74(a925),x45371),f319(f319(f75(a925),f319(f319(f23(a925),x45373),f72(a925))),x45372))))) % 219.21/219.52 [4547]E(f319(f254(x45471),f319(f319(f18(x45471,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45471),a317),f319(f319(f7(x45471,f932(x45471,a923),a923),f321(x45471)),f319(f164(x45471),x45472)))),x45473)),f319(f164(x45471),f319(f128(x45471,x45473),x45472))) % 219.21/219.52 [4695]E(f319(f254(x46951),f319(f319(f8(f932(a925,a923),a923,x46951),f81(a925)),f319(f319(f7(x46951,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),x46951),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),x46951),f319(f8(a923,f932(a923,a923),a925),a317)),f319(f319(f7(x46951,f932(a925,x46951),f932(a925,a923)),f319(f319(f8(f932(x46951,a923),f932(f932(a925,x46951),f932(a925,a923)),x46951),f8(x46951,a923,a925)),a316)),f319(f156(x46951),x46952))))),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,a925,a923),f227(a925)),f319(f181(f926(x46951)),x46952)))),f319(f319(f7(a925,f932(a925,a923),a923),f321(a925)),x46953))))),f319(f164(x46951),f168(x46951,x46952,x46953))) % 219.21/219.52 [4587]E(f319(f254(x45871),f319(f319(f18(x45871,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45871),a322),f319(f319(f8(a923,a923,x45871),a314),f319(f319(f7(x45871,x45871,a923),a316),x45872)))),x45873)),f319(f319(f301(x45871),x45872),f319(f254(x45871),x45873))) % 219.21/219.52 [4619]E(f319(f319(f146(f931(x46191,a925),x46191),f243(x46191,a925)),f319(f128(f931(x46191,a925),f319(f319(f7(f931(x46191,a925),f932(a925,a923),a923),f319(f319(f8(a925,f932(f932(a925,a923),a923),f931(x46191,a925)),f321(a925)),f248(x46191,a925))),x46192)),f319(f319(f173(x46191,a925),x46193),f131(a925,f319(f294(a925,f2(a925)),f319(f181(f926(x46191)),x46193)))))),f168(x46191,x46193,x46192)) % 219.21/219.52 [4646]E(f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f6(a925,a1),f319(f319(f8(a1,a1,a925),f319(f74(a1),x46461)),f319(f319(f7(a925,a1,a1),f319(f319(f8(a1,f932(a1,a1),a925),f75(a1)),f92(a1))),x46462))),f319(f274(a925),x46463))),f319(f319(f75(a1),f319(f92(a1),x46463)),f319(f319(f74(a1),x46461),f319(f319(f74(a1),x46461),f319(f319(f75(a1),f319(f92(a1),f319(f319(f23(a925),x46463),f72(a925)))),x46462))))) % 219.21/219.52 [4688]E(f319(f254(f931(x46881,x46882)),f319(f249(x46881,x46882,a923),f319(f319(f7(x46881,f932(f931(x46882,x46881),a923),f932(x46882,a923)),f319(f319(f8(f932(x46882,f932(f932(f931(x46882,x46881),a923),a923)),f932(f932(f931(x46882,x46881),a923),f932(x46882,a923)),x46881),f7(x46882,f932(f931(x46882,x46881),a923),a923)),f319(f319(f8(f932(x46882,f931(x46882,x46881)),f932(x46882,f932(f932(f931(x46882,x46881),a923),a923)),x46881),f319(f8(f931(x46882,x46881),f932(f932(f931(x46882,x46881),a923),a923),x46882),f321(f931(x46882,x46881)))),f319(f7(x46882,x46881,f931(x46882,x46881)),f244(x46882,x46881))))),x46883))),f319(f278(x46882,x46881),x46883)) % 219.21/219.52 [4708]E(f319(f254(f926(x47081)),f319(f319(f8(f932(x47081,a923),a923,f926(x47081)),f81(x47081)),f319(f319(f8(f932(x47081,f932(f926(x47081),a923)),f932(x47081,a923),f926(x47081)),f319(f8(f932(f926(x47081),a923),a923,x47081),f81(f926(x47081)))),f319(f319(f7(f926(x47081),f932(x47081,f932(f926(x47081),a923)),f932(x47081,f932(f926(x47081),a923))),f319(f319(f8(f932(x47081,f932(f932(f926(x47081),a923),f932(f926(x47081),a923))),f932(f932(x47081,f932(f926(x47081),a923)),f932(x47081,f932(f926(x47081),a923))),f926(x47081)),f18(x47081,f932(f926(x47081),a923),f932(f926(x47081),a923))),f319(f319(f8(f932(x47081,f932(f926(x47081),f932(a923,a923))),f932(x47081,f932(f932(f926(x47081),a923),f932(f926(x47081),a923))),f926(x47081)),f319(f8(f932(f926(x47081),f932(a923,a923)),f932(f932(f926(x47081),a923),f932(f926(x47081),a923)),x47081),f18(f926(x47081),a923,a923))),f319(f319(f8(f932(x47081,f932(f926(x47081),a923)),f932(x47081,f932(f926(x47081),f932(a923,a923))),f926(x47081)),f319(f8(f932(f926(x47081),a923),f932(f926(x47081),f932(a923,a923)),x47081),f319(f8(a923,f932(a923,a923),f926(x47081)),a317))),f319(f319(f7(f926(x47081),f932(x47081,f932(f926(x47081),f926(x47081))),f932(x47081,f932(f926(x47081),a923))),f319(f319(f8(f932(f932(f926(x47081),f926(x47081)),f932(f926(x47081),a923)),f932(f932(x47081,f932(f926(x47081),f926(x47081))),f932(x47081,f932(f926(x47081),a923))),f926(x47081)),f8(f932(f926(x47081),f926(x47081)),f932(f926(x47081),a923),x47081)),f319(f319(f8(f932(f926(x47081),a923),f932(f932(f926(x47081),f926(x47081)),f932(f926(x47081),a923)),f926(x47081)),f8(f926(x47081),a923,f926(x47081))),a316))),f143(x47081)))))),f319(f319(f7(x47081,f932(f926(x47081),a923),f932(f926(x47081),a923)),f319(f319(f8(f932(a923,a923),f932(f932(f926(x47081),a923),f932(f926(x47081),a923)),x47081),f8(a923,a923,f926(x47081))),f319(f319(f8(a923,f932(a923,a923),x47081),a317),f319(f319(f7(x47081,f932(x47081,a923),a923),f321(x47081)),x47082)))),f319(f319(f7(f926(x47081),f932(f926(x47081),a923),a923),f321(f926(x47081))),x47083)))))),f166(x47081,x47082,x47083)) % 219.21/219.52 [4705]E(f319(f319(f80(a1,f931(a1,a1)),f319(f319(f23(a1),x47051),x47052)),f319(f319(f7(a1,f931(a1,a1),f931(a1,a1)),f319(f319(f18(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f319(f319(f8(a923,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f86(f931(a1,a1))),f319(f226(a1),f2(a1)))),f319(f244(a1,a1),f319(f319(f74(a1),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x47053)),f72(a1))))),f319(f319(f244(a1,a1),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x47053)),x47051))),f319(f37(x47052),f319(f319(f244(a1,a1),x47053),x47051))) % 219.21/219.52 [3758]E(f108(x37581,f319(x37582,x37583),f319(x37584,x37583)),f319(f195(x37581,x37582,x37584),x37583)) % 219.21/219.52 [3811]E(f319(f319(f237(x38111,x38112,x38113),x38114),f2(a925)),x38112) % 219.21/219.52 [3849]E(f177(x38491,x38492,x38493,f319(a104,x38494)),f319(x38493,x38494)) % 219.21/219.52 [3890]E(f162(x38901,x38902,f162(x38901,x38903,x38904)),f162(x38901,x38903,f162(x38901,x38902,x38904))) % 219.21/219.52 [3891]E(f118(x38911,x38912,f108(x38911,x38913,x38914)),f108(x38911,f118(x38911,x38912,x38913),x38914)) % 219.21/219.52 [4026]E(f319(f148(x40261,x40262,x40263,x40264),f105(x40262)),x40263) % 219.21/219.52 [4027]E(f319(f134(x40271,x40272,x40273,x40274),f105(x40272)),x40274) % 219.21/219.52 [4064]E(f319(f181(f930(x40641,x40642)),f212(x40641,x40642,x40643,x40644)),f2(a925)) % 219.21/219.52 [4087]E(f319(f249(x40871,x40872,x40873),f247(x40871,x40872,x40873,x40874)),x40874) % 219.21/219.52 [4130]E(f319(f319(f126(x41301),f161(x41301,x41302,x41303)),f161(x41301,x41304,x41303)),f319(f319(f126(x41301),f161(x41301,x41304,x41303)),f161(x41301,x41302,x41303))) % 219.21/219.52 [4215]E(f319(f319(f251(x42151,x42152,x42153,f931(x42152,x42153)),x42154),f244(x42152,x42153)),x42154) % 219.21/219.52 [4225]E(f119(x42251,x42252,x42253,x42254,f111(x42252)),x42253) % 219.21/219.52 [4231]E(f68(x42311,x42312,x42313,x42314,f319(x42313,x42314)),x42313) % 219.21/219.52 [4498]P44(x44981,x44982,x44983,x44984,f180(f932(x44981,a923)),x44984) % 219.21/219.52 [3563]E(f319(f319(f16(x35631,x35632),x35633),x35634),x35633) % 219.21/219.52 [3839]E(f162(x38391,x38392,f319(f128(x38391,x38393),x38394)),f319(f128(x38391,x38393),f162(x38391,x38392,x38394))) % 219.21/219.52 [3873]E(f319(f319(f58(x38731,x38732,x38733),x38734),f180(f932(x38731,a923))),x38734) % 219.21/219.52 [3899]E(f319(f319(f156(x38991),f319(f319(f143(x38991),x38992),x38993)),f319(a104,x38994)),f319(f319(f156(x38991),x38993),x38994)) % 219.21/219.52 [3966]E(f319(f319(x39661,x39662),f319(f176(x39663,x39664,x39661),x39662)),f319(f176(x39663,x39664,x39661),f319(a104,x39662))) % 219.21/219.52 [4007]E(f247(x40071,x40072,x40073,f319(f249(x40071,x40072,x40073),x40074)),x40074) % 219.21/219.52 [4062]E(f319(f319(f151(x40621,f319(f319(f143(x40621),x40622),x40623)),f2(a925)),x40624),f319(f319(f143(x40621),x40624),x40623)) % 219.21/219.52 [4072]E(f319(f319(f33(f932(x40721,a923),f932(x40722,a923)),x40723),f302(x40721,x40722,x40724)),f319(f302(x40721,x40722,x40724),f31(f932(x40721,a923),x40723))) % 219.21/219.52 [4073]E(f319(f319(f33(f932(x40731,a923),f932(x40732,a923)),x40733),f303(x40732,x40731,x40734)),f319(f303(x40732,x40731,x40734),f31(f932(x40731,a923),x40733))) % 219.21/219.52 [4098]E(f112(x40981,f122(x40982,f927(x40981),x40983,x40984)),f319(f110(x40982,x40981,x40984),x40983)) % 219.21/219.52 [4170]E(f319(f117(x41701,x41702),f118(x41701,x41703,x41704)),f319(f319(f74(a925),f319(f319(f74(a925),f319(x41702,x41703)),f319(f117(x41701,x41702),x41704))),f319(a104,f2(a925)))) % 219.21/219.52 [4191]E(f319(f134(x41911,x41912,f319(f7(x41912,x41911,x41911),x41913),x41914),f319(f160(x41912),f105(x41912))),x41914) % 219.21/219.52 [4235]E(f70(x42351,x42352,x42353,x42354,f180(f932(x42351,a923))),x42353) % 219.21/219.52 [4296]E(f215(x42961,f931(x42962,f927(x42962)),x42963,f319(f249(x42962,f927(x42962),x42961),x42964),f319(f127(x42962),f111(x42962))),x42963) % 219.21/219.52 [4428]E(f319(f249(x44281,x44282,x44283),f319(f319(f8(f932(x44282,f931(x44281,x44282)),f932(x44282,x44283),x44281),f319(f8(f931(x44281,x44282),x44283,x44282),x44284)),f244(x44281,x44282))),x44284) % 219.21/219.52 [3749]E(f319(f248(x37491,x37492),f319(f319(f244(x37491,x37492),x37493),x37494)),x37494) % 219.21/219.52 [3750]E(f319(f243(x37501,x37502),f319(f319(f244(x37501,x37502),x37503),x37504)),x37503) % 219.21/219.52 [3783]E(f319(f181(f926(x37831)),f319(f319(f151(x37831,x37832),x37833),x37834)),f319(f181(f926(x37831)),x37832)) % 219.21/219.52 [3784]E(f319(f181(f926(x37841)),f319(f319(f146(x37842,x37841),x37843),x37844)),f319(f181(f926(x37842)),x37844)) % 219.21/219.52 [3805]E(f319(f319(f130(x38051),f319(a104,x38052)),f319(f319(f143(x38051),x38053),x38054)),f319(f319(f130(x38051),x38052),x38054)) % 219.21/219.52 [3868]E(f319(f319(f167(x38681),x38682),f161(x38681,x38683,x38684)),f161(x38681,f319(f319(f224(a925),x38682),x38683),x38684)) % 219.21/219.52 [3869]E(f319(f319(f130(x38691),x38692),f161(x38691,x38693,x38694)),f161(x38691,f319(f319(f23(a925),x38693),x38692),x38694)) % 219.21/219.52 [3875]E(f319(f319(f301(x38751),x38752),f319(f319(f301(x38751),x38753),x38754)),f319(f319(f301(x38751),x38753),f319(f319(f301(x38751),x38752),x38754))) % 219.21/219.52 [3879]E(f319(f319(f146(x38791,x38792),x38793),f106(x38791,x38794)),f106(x38792,f319(f319(f146(x38791,x38792),x38793),x38794))) % 219.21/219.52 [3897]E(f319(f160(x38971),f319(f319(f146(x38972,x38971),x38973),x38974)),f319(f319(f146(x38972,x38971),x38973),f319(f160(x38972),x38974))) % 219.21/219.52 [3898]E(f319(f319(f146(x38981,x38982),x38983),f319(f163(x38981),x38984)),f319(f163(x38982),f319(f319(f146(x38981,x38982),x38983),x38984))) % 219.21/219.52 [3913]E(f319(f319(f167(x39131),f319(a104,x39132)),f319(f319(f143(x39131),x39133),x39134)),f319(f319(f143(x39131),x39133),f319(f319(f167(x39131),x39132),x39134))) % 219.21/219.52 [3916]E(f319(f164(x39161),f319(f319(f146(x39162,x39161),x39163),x39164)),f319(f302(x39162,x39161,x39163),f319(f164(x39162),x39164))) % 219.21/219.52 [3929]E(f319(f319(f146(x39291,x39292),f319(f16(x39292,x39291),x39293)),x39294),f161(x39292,f319(f181(f926(x39291)),x39294),x39293)) % 219.21/219.52 [3965]E(f17(x39651,x39652,x39653,f319(a3,f319(a104,f319(a20,x39654)))),f319(x39653,x39654)) % 219.21/219.52 [3969]E(f319(f319(f126(x39691),f319(f128(x39691,x39692),x39693)),f319(f128(x39691,x39692),x39694)),f319(f128(x39691,x39692),f319(f319(f126(x39691),x39693),x39694))) % 219.21/219.52 [3981]E(f144(x39811,f319(f319(f146(x39812,x39811),x39813),f144(x39812,x39814))),f144(x39811,f319(f319(f146(x39812,x39811),x39813),x39814))) % 219.21/219.52 [3996]E(f319(f278(x39961,x39961),f319(f319(f280(x39962,x39961),x39963),x39964)),f319(f319(f280(x39962,x39961),f319(f278(x39962,x39962),x39963)),x39964)) % 219.21/219.52 [4008]E(f319(f319(f281(x40081,x40082,x40083),x40084),f180(f932(f931(x40082,x40083),a923))),f180(f932(f931(x40081,x40083),a923))) % 219.21/219.52 [4009]E(f319(f319(f167(x40091),f319(f319(f23(a925),x40092),x40093)),f319(f319(f130(x40091),x40093),x40094)),f319(f319(f130(x40091),x40093),f319(f319(f167(x40091),x40092),x40094))) % 219.21/219.52 [4028]E(f319(f319(f126(x40281),f161(x40281,x40282,x40283)),f161(x40281,x40284,x40283)),f161(x40281,f319(f319(f74(a925),x40282),x40284),x40283)) % 219.21/219.52 [4029]E(f319(f319(f319(f270(x40291),x40292),x40293),x40294),f319(f244(f932(a91,f932(a923,f929(f927(x40291)))),f931(a91,a91)),f319(f36(x40291),x40292))) % 219.21/219.52 [4055]E(f32(f932(x40551,a923),f319(f302(x40552,f932(x40551,a923),x40553),x40554)),f319(f319(f34(x40552,f932(x40551,a923)),x40554),x40553)) % 219.21/219.52 [4056]E(f31(f932(x40561,a923),f319(f302(x40562,f932(x40561,a923),x40563),x40564)),f319(f319(f33(x40562,f932(x40561,a923)),x40564),x40563)) % 219.21/219.52 [4057]E(f319(f181(f926(f931(x40571,x40572))),f319(f319(f173(x40571,x40572),x40573),x40574)),f319(f319(f224(a925),f319(f181(f926(x40571)),x40573)),f319(f181(f926(x40572)),x40574))) % 219.21/219.52 [4059]E(f319(f303(x40591,x40592,x40593),f319(f73(f932(x40592,a923)),x40594)),f319(f73(f932(x40591,a923)),f319(f303(x40591,x40592,x40593),x40594))) % 219.21/219.52 [4108]E(f319(f303(x41081,x41082,x41083),f319(f254(x41082),x41084)),f319(f254(x41081),f319(f319(f8(x41082,a923,x41081),x41084),x41083))) % 219.21/219.52 [4125]E(f319(f319(f156(x41251),f319(f319(f126(x41251),x41252),f319(f319(f143(x41251),x41253),x41254))),f319(f181(f926(x41251)),x41252)),x41253) % 219.21/219.52 [4147]E(f319(f302(x41471,x41472,x41473),f319(f303(x41471,x41472,x41473),x41474)),f319(f319(f93(f932(x41472,a923)),x41474),f319(f302(x41471,x41472,x41473),f234(f932(x41471,a923))))) % 219.21/219.52 [4166]P1(f319(f319(f321(x41661),f319(x41662,x41663)),f319(f302(x41664,x41661,x41662),f234(f932(x41664,a923))))) % 219.21/219.52 [4175]E(f19(x41751,x41752,x41753,f319(a3,f319(a104,f319(a20,x41754)))),f319(f319(x41753,x41754),f19(x41751,x41752,x41753,x41754))) % 219.21/219.52 [4179]E(f319(f319(f126(x41791),f161(x41791,x41792,x41793)),f319(f319(f143(x41791),x41793),x41794)),f319(f319(f143(x41791),x41793),f319(f319(f126(x41791),f161(x41791,x41792,x41793)),x41794))) % 219.21/219.52 [4181]E(f319(f319(f246(x41811,x41812),f319(f164(x41811),x41813)),f319(f16(f932(x41812,a923),x41811),f319(f164(x41812),x41814))),f319(f164(f931(x41811,x41812)),f53(x41811,x41812,x41813,x41814))) % 219.21/219.52 [4193]E(f147(x41931,x41932,f319(f319(f143(x41931),x41933),x41934)),f319(f319(f74(a925),f319(f319(f74(a925),f319(x41932,x41933)),f147(x41931,x41932,x41934))),f319(a104,f2(a925)))) % 219.21/219.52 [4206]E(f177(f926(x42061),f319(f319(f143(x42061),x42062),x42063),f319(f319(f7(a925,f926(x42061),f926(x42061)),f130(x42061)),x42063),x42064),f319(f319(f130(x42061),x42064),f319(f319(f143(x42061),x42062),x42063))) % 219.21/219.52 [4207]P26(x42071,f931(x42072,x42071),f323(x42073,x42074,x42072,x42071),f319(f319(f33(x42072,f932(x42071,a923)),x42074),x42073)) % 219.21/219.52 [4216]E(f319(f319(f23(f932(x42161,a923)),f319(f319(f23(f932(x42161,a923)),x42162),x42163)),f319(f319(f301(x42161),x42164),f180(f932(x42161,a923)))),f319(f319(f23(f932(x42161,a923)),x42162),f319(f319(f301(x42161),x42164),x42163))) % 219.21/219.52 [4229]E(f319(f319(f175(f932(x42291,x42292),f932(x42291,x42292)),x42293),f66(x42292,x42292,x42291,x42294)),f66(x42292,x42292,x42291,f319(f319(f175(x42292,x42292),x42293),x42294))) % 219.21/219.52 [4301]E(f319(f319(f319(f175(f926(x43011),f926(x43011)),x43012),f159(x43011)),f319(f319(f319(f175(f926(x43011),f926(x43011)),x43013),f159(x43011)),x43014)),f319(f319(f319(f175(f926(x43011),f926(x43011)),f319(f319(f74(a925),x43012),x43013)),f159(x43011)),x43014)) % 219.21/219.52 [4386]P1(f319(f319(f226(f932(x43861,a923)),f319(f164(x43861),f319(f319(f151(x43861,x43862),x43863),x43864))),f319(f319(f301(x43861),x43864),f319(f164(x43861),x43862)))) % 219.21/219.52 [4418]E(f319(f319(f33(f932(x44181,a923),f932(f931(x44181,x44182),a923)),x44183),f319(f319(f7(f932(x44181,a923),f932(x44181,f932(x44182,a923)),f932(f931(x44181,x44182),a923)),f246(x44181,x44182)),x44184)),f319(f319(f246(x44181,x44182),f31(f932(x44181,a923),x44183)),x44184)) % 219.21/219.52 [4456]E(f201(x44561,x44562,x44563,f319(f66(x44562,f932(a91,f932(a91,f932(f931(a91,a91),f932(a91,f927(x44562))))),x44561,f200(x44562)),x44564)),f202(x44561,x44562,x44564,x44563)) % 219.21/219.52 [4471]E(f197(x44711,x44712,x44713,f319(f66(x44712,f932(a91,f932(a91,f932(f931(a91,a91),f932(a91,f927(f929(x44712)))))),x44711,f196(x44712)),x44714)),f198(x44711,x44712,x44714,x44713)) % 219.21/219.52 [4476]P1(f319(f60(x44761,x44762,x44763,x44764,f180(f932(x44761,a923))),x44764)) % 219.21/219.52 [4515]E(f319(f319(f33(x45151,f932(x45152,a923)),x45153),f319(f319(f7(x45151,f932(x45152,a923),f932(x45152,a923)),f319(f319(f8(x45152,f932(f932(x45152,a923),f932(x45152,a923)),x45151),f301(x45152)),x45154)),f180(f932(x45152,a923)))),f319(f302(x45151,x45152,x45154),x45153)) % 219.21/219.52 [4522]P1(f319(f319(f226(f932(x45221,a923)),f319(f276(x45222,x45221),f319(f319(f93(f932(f931(x45222,x45221),a923)),x45223),x45224))),f319(f319(f93(f932(x45221,a923)),f319(f276(x45222,x45221),x45223)),f319(f276(x45222,x45221),x45224)))) % 219.21/219.52 [4523]P1(f319(f319(f226(f932(x45231,a923)),f319(f256(x45231,x45232),f319(f319(f93(f932(f931(x45231,x45232),a923)),x45233),x45234))),f319(f319(f93(f932(x45231,a923)),f319(f256(x45231,x45232),x45233)),f319(f256(x45231,x45232),x45234)))) % 219.21/219.52 [4583]P1(f319(f319(f226(f932(f931(x45831,x45832),a923)),f319(f302(x45832,f931(x45831,x45832),f323(x45833,x45834,x45831,x45832)),f319(f319(f33(x45831,f932(x45832,a923)),x45834),x45833))),f319(f319(f246(x45831,x45832),x45834),x45833))) % 219.21/219.52 [4584]E(f319(f110(x45841,f931(x45841,x45842),x45843),f319(f319(f8(f932(x45842,f927(f931(x45841,x45842))),f927(f931(x45841,x45842)),x45841),f110(x45842,f931(x45841,x45842),x45844)),f319(f319(f8(f932(x45842,f931(x45841,x45842)),f932(x45842,f927(f931(x45841,x45842))),x45841),f319(f8(f931(x45841,x45842),f927(f931(x45841,x45842)),x45842),f121(f931(x45841,x45842)))),f244(x45841,x45842)))),f123(x45841,x45842,x45843,x45844)) % 219.21/219.52 [4585]E(f268(x45851,x45852,x45853,f319(f66(x45852,f932(a91,f932(a91,f932(f931(a91,a91),f931(f932(a91,f932(a923,f929(f927(x45852)))),f931(a91,a91))))),x45851,f270(x45852)),x45854)),f271(x45851,x45852,x45854,x45853)) % 219.21/219.52 [4625]E(f79(f931(x46251,x46252),f319(f249(x46251,x46252,a923),f319(f319(f7(x46251,f932(x46252,a923),f932(x46252,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x46252,a923),f932(x46252,a923)),x46251),f8(a923,a923,x46252)),f319(f319(f8(a923,f932(a923,a923),x46251),a317),f319(a316,x46253)))),f319(a316,x46254)))),f319(f319(f244(x46251,x46252),x46253),x46254)) % 219.21/219.52 [4626]E(f84(f931(x46261,x46262),f319(f249(x46261,x46262,a923),f319(f319(f7(x46261,f932(x46262,a923),f932(x46262,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x46262,a923),f932(x46262,a923)),x46261),f8(a923,a923,x46262)),f319(f319(f8(a923,f932(a923,a923),x46261),a317),f319(a316,x46263)))),f319(a316,x46264)))),f319(f319(f244(x46261,x46262),x46263),x46264)) % 219.21/219.52 [4697]E(f319(f319(f249(f926(x46971),f926(x46971),f931(f926(x46971),f926(x46971))),f319(f319(f18(f926(x46971),f932(f926(x46971),f931(f926(x46971),f926(x46971))),f932(f926(x46971),f931(f926(x46971),f926(x46971)))),f319(f319(f8(f932(f926(x46971),f932(f931(f926(x46971),f926(x46971)),f931(f926(x46971),f926(x46971)))),f932(f932(f926(x46971),f931(f926(x46971),f926(x46971))),f932(f926(x46971),f931(f926(x46971),f926(x46971)))),f926(x46971)),f18(f926(x46971),f931(f926(x46971),f926(x46971)),f931(f926(x46971),f926(x46971)))),f319(f319(f8(f932(f926(x46971),f931(f926(x46971),f926(x46971))),f932(f926(x46971),f932(f931(f926(x46971),f926(x46971)),f931(f926(x46971),f926(x46971)))),f926(x46971)),f319(f8(f931(f926(x46971),f926(x46971)),f932(f931(f926(x46971),f926(x46971)),f931(f926(x46971),f926(x46971))),f926(x46971)),f319(f86(f931(f926(x46971),f926(x46971))),f319(x46972,x46973)))),f319(f319(f8(f926(x46971),f932(f926(x46971),f931(f926(x46971),f926(x46971))),f926(x46971)),f244(f926(x46971),f926(x46971))),f319(f143(x46971),x46973))))),f319(f319(f7(f926(x46971),f932(f926(x46971),f926(x46971)),f932(f926(x46971),f931(f926(x46971),f926(x46971)))),f319(f319(f8(f932(f926(x46971),f931(f926(x46971),f926(x46971))),f932(f932(f926(x46971),f926(x46971)),f932(f926(x46971),f931(f926(x46971),f926(x46971)))),f926(x46971)),f8(f926(x46971),f931(f926(x46971),f926(x46971)),f926(x46971))),f244(f926(x46971),f926(x46971)))),f319(f143(x46971),x46973)))),f158(x46971,x46972,x46974)),f158(x46971,x46972,f319(f319(f143(x46971),x46973),x46974))) % 219.21/219.52 [3945]E(f319(f319(f167(x39451),x39452),f319(f319(f167(x39451),x39453),x39454)),f319(f319(f167(x39451),f319(f319(f224(a925),x39452),x39453)),x39454)) % 219.21/219.52 [3946]E(f319(f319(f130(x39461),x39462),f319(f319(f130(x39461),x39463),x39464)),f319(f319(f130(x39461),f319(f319(f74(a925),x39462),x39463)),x39464)) % 219.21/219.52 [3957]E(f319(f319(f126(x39571),f319(f319(f143(x39571),x39572),x39573)),x39574),f319(f319(f143(x39571),x39572),f319(f319(f126(x39571),x39573),x39574))) % 219.21/219.52 [3958]E(f319(f319(f126(x39581),f319(f319(f126(x39581),x39582),x39583)),x39584),f319(f319(f126(x39581),x39582),f319(f319(f126(x39581),x39583),x39584))) % 219.21/219.52 [4039]E(f319(f319(f156(x40391),f319(f319(f143(x40391),x40392),x40393)),x40394),f177(x40391,x40392,f319(f156(x40391),x40393),x40394)) % 219.21/219.52 [4048]E(f319(f319(f175(x40481,x40481),x40482),f319(f319(f175(x40481,x40481),x40483),x40484)),f319(f319(f175(x40481,x40481),f319(f319(f75(a925),x40483),x40482)),x40484)) % 219.21/219.52 [4075]E(f319(f319(f102(f932(x40751,a923)),x40752),f319(f319(f301(x40751),x40753),x40754)),f319(f319(f301(x40751),x40753),f319(f319(f102(f932(x40751,a923)),x40752),x40754))) % 219.21/219.52 [4090]E(f319(f319(f319(f175(x40901,x40901),x40902),x40903),f319(x40903,x40904)),f319(x40903,f319(f319(f319(f175(x40901,x40901),x40902),x40903),x40904))) % 219.21/219.52 [4099]E(f319(f319(f281(x40991,x40992,x40993),f180(f932(f931(x40991,x40992),a923))),x40994),f180(f932(f931(x40991,x40993),a923))) % 219.21/219.52 [4113]E(f319(f319(f102(f932(x41131,a923)),f319(f319(f301(x41131),x41132),x41133)),x41134),f319(f319(f301(x41131),x41132),f319(f319(f102(f932(x41131,a923)),x41133),x41134))) % 219.21/219.52 [4132]E(f319(f29(f931(x41321,x41322)),f319(f319(f246(x41321,x41322),x41323),f319(f16(f932(x41322,a923),x41321),x41324))),f319(f319(f75(a925),f319(f29(x41321),x41323)),f319(f29(x41322),x41324))) % 219.21/219.52 [4138]E(f319(f319(f93(f932(x41381,a923)),f319(f319(f301(x41381),x41382),x41383)),f319(f319(f301(x41381),x41382),x41384)),f319(f319(f301(x41381),x41382),f319(f319(f93(f932(x41381,a923)),x41383),x41384))) % 219.21/219.52 [4151]E(f319(f319(f102(f932(x41511,a923)),x41512),f319(f319(f102(f932(x41511,a923)),x41513),x41514)),f319(f319(f102(f932(x41511,a923)),x41513),f319(f319(f102(f932(x41511,a923)),x41512),x41514))) % 219.21/219.52 [4152]E(f319(f319(f93(f932(x41521,a923)),x41522),f319(f319(f93(f932(x41521,a923)),x41523),x41524)),f319(f319(f93(f932(x41521,a923)),x41523),f319(f319(f93(f932(x41521,a923)),x41522),x41524))) % 219.21/219.52 [4162]E(f58(x41621,x41622,f319(f319(f8(x41622,f932(x41622,x41622),x41621),x41623),x41624)),f319(f59(x41622,x41621,x41623),x41624)) % 219.21/219.52 [4171]E(f171(x41711,f319(f319(f146(f926(x41712),f926(x41711)),f319(f146(x41712,x41711),x41713)),x41714)),f319(f319(f146(f926(x41712),f926(x41711)),f319(f146(x41712,x41711),x41713)),f171(x41712,x41714))) % 219.21/219.52 [4190]E(f319(f134(f926(x41901),f926(x41901),f126(x41901),f105(x41901)),f319(f319(f146(x41902,f926(x41901)),x41903),x41904)),f155(x41902,x41901,x41903,x41904)) % 219.21/219.52 [4248]E(f319(f66(x42481,x42481,x42481,f319(f319(f175(x42481,x42481),x42482),x42483)),f319(f319(f175(x42481,x42481),x42484),x42483)),f319(f319(f175(x42481,x42481),f319(f319(f74(a925),x42482),x42484)),x42483)) % 219.21/219.52 [4271]E(f319(f319(f93(f932(x42711,a923)),f319(f319(f102(f932(x42711,a923)),x42712),x42713)),f319(f319(f102(f932(x42711,a923)),x42712),x42714)),f319(f319(f102(f932(x42711,a923)),x42712),f319(f319(f93(f932(x42711,a923)),x42713),x42714))) % 219.21/219.52 [4272]E(f319(f319(f102(f932(x42721,a923)),f319(f319(f93(f932(x42721,a923)),x42722),x42723)),f319(f319(f93(f932(x42721,a923)),x42722),x42724)),f319(f319(f93(f932(x42721,a923)),x42722),f319(f319(f102(f932(x42721,a923)),x42723),x42724))) % 219.21/219.52 [4273]E(f319(f319(f23(f932(x42731,a923)),f319(f319(f93(f932(x42731,a923)),x42732),x42733)),f319(f319(f93(f932(x42731,a923)),x42732),x42734)),f319(f319(f93(f932(x42731,a923)),x42732),f319(f319(f23(f932(x42731,a923)),x42733),x42734))) % 219.21/219.52 [4274]E(f319(f319(f93(f932(x42741,a923)),f319(f319(f23(f932(x42741,a923)),x42742),x42743)),f319(f319(f23(f932(x42741,a923)),x42742),x42744)),f319(f319(f23(f932(x42741,a923)),x42742),f319(f319(f102(f932(x42741,a923)),x42743),x42744))) % 219.21/219.52 [4275]E(f319(f319(f102(f932(x42751,a923)),f319(f319(f23(f932(x42751,a923)),x42752),x42753)),f319(f319(f23(f932(x42751,a923)),x42752),x42754)),f319(f319(f23(f932(x42751,a923)),x42752),f319(f319(f93(f932(x42751,a923)),x42753),x42754))) % 219.21/219.52 [4280]E(f319(f29(f931(x42801,x42802)),f319(f319(f246(x42801,x42802),f319(f319(f301(x42801),x42803),f180(f932(x42801,a923)))),f319(f16(f932(x42802,a923),x42801),x42804))),f319(f29(x42802),x42804)) % 219.21/219.52 [4315]E(f319(f319(f34(x43151,f932(x43152,a923)),x43153),f319(f319(f8(f932(x43152,a923),f932(x43152,a923),x43151),f73(f932(x43152,a923))),x43154)),f319(f73(f932(x43152,a923)),f319(f319(f33(x43151,f932(x43152,a923)),x43153),x43154))) % 219.21/219.52 [4316]E(f319(f319(f33(x43161,f932(x43162,a923)),x43163),f319(f319(f8(f932(x43162,a923),f932(x43162,a923),x43161),f73(f932(x43162,a923))),x43164)),f319(f73(f932(x43162,a923)),f319(f319(f34(x43161,f932(x43162,a923)),x43163),x43164))) % 219.21/219.52 [4332]E(f319(f319(f281(x43321,x43321,x43321),f319(f319(f175(f931(x43321,x43321),a923),x43322),x43323)),f319(f319(f175(f931(x43321,x43321),a923),x43324),x43323)),f319(f319(f175(f931(x43321,x43321),a923),f319(f319(f74(a925),x43322),x43324)),x43323)) % 219.21/219.52 [4362]E(f319(f319(f34(x43621,f932(f932(x43622,a923),a923)),x43623),f319(f319(f8(f932(x43622,a923),f932(f932(x43622,a923),a923),x43621),f300(x43622)),x43624)),f319(f300(x43622),f319(f319(f34(x43621,f932(x43622,a923)),x43623),x43624))) % 219.21/219.52 [4391]E(f319(f319(f33(f932(x43911,a923),f932(x43912,a923)),x43913),f319(f319(f7(f932(x43911,a923),f932(x43911,f932(x43912,a923)),f932(x43912,a923)),f33(x43911,f932(x43912,a923))),x43914)),f319(f319(f33(x43911,f932(x43912,a923)),f31(f932(x43911,a923),x43913)),x43914)) % 219.21/219.52 [4392]E(f319(f319(f34(f932(x43921,a923),f932(x43922,a923)),x43923),f319(f319(f7(f932(x43921,a923),f932(x43921,f932(x43922,a923)),f932(x43922,a923)),f34(x43921,f932(x43922,a923))),x43924)),f319(f319(f34(x43921,f932(x43922,a923)),f31(f932(x43921,a923),x43923)),x43924)) % 219.21/219.52 [4397]E(f319(f319(f146(x43971,x43972),x43973),f319(f134(f926(x43971),f926(x43971),f126(x43971),f105(x43971)),x43974)),f319(f134(f926(x43972),f926(x43972),f126(x43972),f105(x43972)),f319(f319(f146(f926(x43971),f926(x43972)),f319(f146(x43971,x43972),x43973)),x43974))) % 219.21/219.52 [4399]E(f177(f926(x43991),f105(x43991),f319(f319(f8(f926(x43991),f926(x43991),a925),f319(f143(x43991),x43992)),f319(f319(f7(a925,f926(x43991),f926(x43991)),f167(x43991)),x43993)),x43994),f319(f319(f167(x43991),x43994),f319(f319(f143(x43991),x43992),x43993))) % 219.21/219.52 [4437]P1(f319(f319(f226(f932(x44371,a923)),f319(f302(x44372,x44371,x44373),f319(f303(x44372,x44371,x44373),x44374))),x44374)) % 219.21/219.52 [4439]E(f319(f302(f931(x44391,x44392),f931(x44392,x44391),f319(f249(x44391,x44392,f931(x44392,x44391)),f319(f7(x44392,x44391,f931(x44392,x44391)),f244(x44392,x44391)))),f319(f319(f246(x44391,x44392),x44393),f319(f16(f932(x44392,a923),x44391),x44394))),f319(f319(f246(x44392,x44391),x44394),f319(f16(f932(x44391,a923),x44392),x44393))) % 219.21/219.52 [4448]E(f319(f319(f33(x44481,f932(x44482,a923)),x44483),f319(f319(f8(f932(x44481,a923),f932(x44482,a923),x44481),f303(x44482,x44481,x44484)),f319(f319(f7(x44481,f932(x44481,a923),f932(x44481,a923)),f301(x44481)),f180(f932(x44481,a923))))),f319(f303(x44482,x44481,x44484),x44483)) % 219.21/219.52 [4449]E(f319(f319(f33(x44491,f932(x44492,a923)),x44493),f319(f319(f8(f932(x44491,a923),f932(x44492,a923),x44491),f277(x44491,x44492,x44494)),f319(f319(f7(x44491,f932(x44491,a923),f932(x44491,a923)),f301(x44491)),f180(f932(x44491,a923))))),f319(f277(x44491,x44492,x44494),x44493)) % 219.21/219.52 [4536]E(f319(f319(f102(f932(x45361,a923)),f319(f319(f102(f932(x45361,a923)),f319(f319(f93(f932(x45361,a923)),x45362),x45363)),f319(f319(f93(f932(x45361,a923)),x45363),x45364))),f319(f319(f93(f932(x45361,a923)),x45364),x45362)),f319(f319(f93(f932(x45361,a923)),f319(f319(f93(f932(x45361,a923)),f319(f319(f102(f932(x45361,a923)),x45362),x45363)),f319(f319(f102(f932(x45361,a923)),x45363),x45364))),f319(f319(f102(f932(x45361,a923)),x45364),x45362))) % 219.21/219.52 [4599]E(f319(f134(f926(x45991),f926(x45991),f126(x45991),f105(x45991)),f319(f319(f146(x45992,f926(x45991)),f319(f319(f7(x45992,f926(x45991),f926(x45991)),f319(f319(f8(x45991,f932(f926(x45991),f926(x45991)),x45992),f143(x45991)),x45993)),f105(x45991))),x45994)),f319(f319(f146(x45992,x45991),x45993),x45994)) % 219.21/219.52 [4609]E(f319(f319(f80(a1,x46091),f319(f95(a1),f319(f319(f74(a1),x46092),a89))),f319(f319(f18(a1,x46091,x46091),f319(f319(f7(a1,x46091,f932(x46091,x46091)),f319(f319(f8(a923,f932(x46091,f932(x46091,x46091)),a1),f86(x46091)),a185)),x46093)),f319(f319(f8(a925,x46091,a1),x46094),a96))),f177(x46091,x46093,x46094,f319(f95(a925),x46092))) % 219.21/219.52 [4640]E(f319(f254(x46401),f319(f319(f8(f932(x46402,a923),a923,x46401),f81(x46402)),f319(f319(f8(f932(x46402,a923),f932(x46402,a923),x46401),f319(f18(x46402,a923,a923),f319(f319(f8(a923,f932(a923,a923),x46402),a317),f319(f319(f7(x46402,f932(x46402,a923),a923),f321(x46402)),x46403)))),f319(f7(x46402,x46401,a923),x46404)))),f319(f277(x46402,x46401,f319(f254(f931(x46402,x46401)),f319(f249(x46402,x46401,a923),x46404))),x46403)) % 219.21/219.52 [4775]~P1(f319(f319(f180(f932(x47751,f932(x47752,a923))),x47753),x47754)) % 219.21/219.52 [4102]E(f319(f319(f156(x41021),f319(f319(f126(x41021),x41022),x41023)),f319(f319(f74(a925),f319(f181(f926(x41021)),x41022)),x41024)),f319(f319(f156(x41021),x41023),x41024)) % 219.21/219.52 [4107]E(f319(f319(f130(x41071),x41072),f319(f319(f167(x41071),f319(f319(f74(a925),x41073),x41072)),x41074)),f319(f319(f167(x41071),x41073),f319(f319(f130(x41071),x41072),x41074))) % 219.21/219.52 [4204]E(f319(f319(f102(f932(x42041,a923)),f319(f276(x42042,x42041),x42043)),f319(f276(x42042,x42041),x42044)),f319(f276(x42042,x42041),f319(f319(f102(f932(f931(x42042,x42041),a923)),x42043),x42044))) % 219.21/219.52 [4205]E(f319(f319(f102(f932(x42051,a923)),f319(f256(x42051,x42052),x42053)),f319(f256(x42051,x42052),x42054)),f319(f256(x42051,x42052),f319(f319(f102(f932(f931(x42051,x42052),a923)),x42053),x42054))) % 219.21/219.52 [4210]E(f319(f319(f102(f932(x42101,a923)),f319(f319(f102(f932(x42101,a923)),x42102),x42103)),x42104),f319(f319(f102(f932(x42101,a923)),x42102),f319(f319(f102(f932(x42101,a923)),x42103),x42104))) % 219.21/219.52 [4211]E(f319(f319(f93(f932(x42111,a923)),f319(f319(f93(f932(x42111,a923)),x42112),x42113)),x42114),f319(f319(f93(f932(x42111,a923)),x42112),f319(f319(f93(f932(x42111,a923)),x42113),x42114))) % 219.21/219.52 [4212]E(f319(f319(f23(f932(x42121,a923)),f319(f319(f93(f932(x42121,a923)),x42122),x42123)),x42124),f319(f319(f93(f932(x42121,a923)),x42122),f319(f319(f23(f932(x42121,a923)),x42123),x42124))) % 219.21/219.52 [4250]E(f319(f319(f102(f932(f931(x42501,x42502),a923)),f319(f278(x42502,x42501),x42503)),f319(f278(x42502,x42501),x42504)),f319(f278(x42502,x42501),f319(f319(f102(f932(f931(x42502,x42501),a923)),x42503),x42504))) % 219.21/219.52 [4251]E(f319(f319(f93(f932(f931(x42511,x42512),a923)),f319(f278(x42512,x42511),x42513)),f319(f278(x42512,x42511),x42514)),f319(f278(x42512,x42511),f319(f319(f93(f932(f931(x42512,x42511),a923)),x42513),x42514))) % 219.21/219.52 [4264]E(f319(f319(f102(f932(x42641,f932(x42642,a923))),f235(x42642,x42641,x42643)),f235(x42642,x42641,x42644)),f235(x42642,x42641,f319(f319(f102(f932(x42642,f932(x42641,a923))),x42643),x42644))) % 219.21/219.52 [4265]E(f319(f319(f93(f932(x42651,f932(x42652,a923))),f235(x42652,x42651,x42653)),f235(x42652,x42651,x42654)),f235(x42652,x42651,f319(f319(f93(f932(x42652,f932(x42651,a923))),x42653),x42654))) % 219.21/219.52 [4319]E(f319(f319(f93(f932(x43191,a923)),f319(f319(f102(f932(x43191,a923)),x43192),x43193)),f319(f319(f102(f932(x43191,a923)),x43194),x43193)),f319(f319(f102(f932(x43191,a923)),f319(f319(f93(f932(x43191,a923)),x43192),x43194)),x43193)) % 219.21/219.52 [4320]E(f319(f319(f102(f932(x43201,a923)),f319(f319(f93(f932(x43201,a923)),x43202),x43203)),f319(f319(f93(f932(x43201,a923)),x43204),x43203)),f319(f319(f93(f932(x43201,a923)),f319(f319(f102(f932(x43201,a923)),x43202),x43204)),x43203)) % 219.21/219.52 [4321]E(f319(f319(f23(f932(x43211,a923)),f319(f319(f93(f932(x43211,a923)),x43212),x43213)),f319(f319(f93(f932(x43211,a923)),x43214),x43213)),f319(f319(f93(f932(x43211,a923)),f319(f319(f23(f932(x43211,a923)),x43212),x43214)),x43213)) % 219.21/219.52 [4322]E(f319(f319(f102(f932(x43221,a923)),f319(f319(f23(f932(x43221,a923)),x43222),x43223)),f319(f319(f23(f932(x43221,a923)),x43224),x43223)),f319(f319(f23(f932(x43221,a923)),f319(f319(f102(f932(x43221,a923)),x43222),x43224)),x43223)) % 219.21/219.52 [4323]E(f319(f319(f23(f932(x43231,a923)),f319(f319(f93(f932(x43231,a923)),x43232),x43233)),f319(f319(f93(f932(x43231,a923)),x43234),x43233)),f319(f319(f23(f932(x43231,a923)),f319(f319(f93(f932(x43231,a923)),x43232),x43233)),x43234)) % 219.21/219.52 [4335]E(f319(f319(f23(f932(x43351,a923)),f319(f319(f23(f932(x43351,a923)),x43352),f319(f319(f301(x43351),x43353),f180(f932(x43351,a923))))),x43354),f319(f319(f23(f932(x43351,a923)),x43352),f319(f319(f301(x43351),x43353),x43354))) % 219.21/219.52 [4388]E(f319(f319(f102(f932(x43881,a923)),f319(f319(f301(x43881),x43882),f319(f319(f301(x43881),x43883),f180(f932(x43881,a923))))),f319(f273(x43881),x43884)),f319(f273(x43881),f319(f319(f301(f931(x43881,x43881)),f319(f319(f244(x43881,x43881),x43882),x43883)),x43884))) % 219.21/219.52 [4413]E(f319(f319(f33(a925,f932(x44131,a923)),f319(f293(a925),x44132)),f319(f319(f8(a925,f932(x44131,a923),a925),x44133),f319(f319(f7(a925,a925,a925),f74(a925)),x44134))),f319(f319(f33(a925,f932(x44131,a923)),f295(a925,x44134,f319(f319(f74(a925),x44132),x44134))),x44133)) % 219.21/219.52 [4414]E(f166(x44141,f319(f277(x44141,x44141,x44142),f319(f319(f301(x44141),x44143),f180(f932(x44141,a923)))),f319(f277(f926(x44141),f926(x44141),f150(x44141,x44142)),f319(f319(f301(f926(x44141)),x44144),f180(f932(f926(x44141),a923))))),f319(f277(f926(x44141),f926(x44141),f150(x44141,x44142)),f319(f319(f301(f926(x44141)),f319(f319(f143(x44141),x44143),x44144)),f180(f932(f926(x44141),a923))))) % 219.21/219.52 [4478]E(f319(f254(x44781),f319(f319(f7(x44781,f932(x44782,a923),a923),f319(f319(f8(x44782,f932(f932(x44782,a923),a923),x44781),f321(x44782)),x44783)),x44784)),f319(f303(x44781,x44782,x44783),x44784)) % 219.21/219.52 [4568]E(f319(f254(x45681),f319(f319(f7(x45681,f932(f931(x45682,x45681),a923),a923),f319(f319(f8(f931(x45682,x45681),f932(f932(f931(x45682,x45681),a923),a923),x45681),f321(f931(x45682,x45681))),f319(f244(x45682,x45681),x45683))),x45684)),f319(f277(x45682,x45681,x45684),f319(f319(f301(x45682),x45683),f180(f932(x45682,a923))))) % 219.21/219.52 [4582]E(f319(f319(f146(f931(x45821,a925),x45821),f243(x45821,a925)),f319(f128(f931(x45821,a925),f319(f319(f8(a925,a923,f931(x45821,a925)),x45822),f319(f319(f8(a925,a925,f931(x45821,a925)),a104),f248(x45821,a925)))),f319(f319(f173(x45821,a925),x45823),x45824))),f319(f319(f146(f931(x45821,a925),x45821),f243(x45821,a925)),f319(f128(f931(x45821,a925),f319(f319(f8(a925,a923,f931(x45821,a925)),x45822),f248(x45821,a925))),f319(f319(f173(x45821,a925),x45823),f319(f319(f146(a925,a925),a104),x45824))))) % 219.21/219.52 [4591]P1(f319(f319(f226(f932(f932(x45911,a923),a923)),f319(f319(f33(x45912,f932(f932(x45911,a923),a923)),x45913),f319(f319(f8(f932(x45911,a923),f932(f932(x45911,a923),a923),x45912),f300(x45911)),x45914))),f319(f300(x45911),f319(f319(f33(x45912,f932(x45911,a923)),x45913),x45914)))) % 219.21/219.52 [4632]E(f319(f319(f80(a1,x46321),f319(f95(a1),f319(f319(f74(a1),x46322),a89))),f319(f319(f18(a1,x46321,x46321),f319(f319(f7(a1,x46321,f932(x46321,x46321)),f319(f319(f8(a923,f932(x46321,f932(x46321,x46321)),a1),f86(x46321)),a185)),x46323)),f319(f319(f18(a1,x46321,x46321),f319(f319(f8(a925,f932(x46321,x46321),a1),x46324),a96)),f319(f319(f8(a925,x46321,a1),f176(x46321,x46323,x46324)),a96)))),f319(f176(x46321,x46323,x46324),f319(f95(a925),x46322))) % 219.21/219.52 [4656]E(f319(f254(f931(x46561,x46562)),f319(f249(x46561,x46562,a923),f319(f319(f7(x46561,f932(x46562,a923),f932(x46562,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x46562,a923),f932(x46562,a923)),x46561),f8(a923,a923,x46562)),f319(f319(f8(a923,f932(a923,a923),x46561),a317),f319(f319(f7(x46561,f932(x46561,a923),a923),f321(x46561)),x46563)))),f319(f319(f7(x46562,f932(x46562,a923),a923),f321(x46562)),x46564)))),f221(x46561,x46562,x46563,x46564)) % 219.21/219.52 [4692]E(f319(f319(f33(x46921,f932(f931(x46921,x46922),a923)),x46923),f319(f319(f18(x46921,f932(x46922,f932(f931(x46921,x46922),a923)),f932(f931(x46921,x46922),a923)),f319(f319(f8(f932(x46922,a923),f932(f932(x46922,f932(f931(x46921,x46922),a923)),f932(f931(x46921,x46922),a923)),x46921),f33(x46922,f932(f931(x46921,x46922),a923))),x46924)),f319(f319(f7(x46921,f932(f931(x46921,x46922),a923),f932(x46922,f932(f931(x46921,x46922),a923))),f319(f319(f8(f932(x46922,f932(f932(f931(x46921,x46922),a923),f932(f931(x46921,x46922),a923))),f932(f932(f931(x46921,x46922),a923),f932(x46922,f932(f931(x46921,x46922),a923))),x46921),f7(x46922,f932(f931(x46921,x46922),a923),f932(f931(x46921,x46922),a923))),f319(f319(f8(f932(x46922,f931(x46921,x46922)),f932(x46922,f932(f932(f931(x46921,x46922),a923),f932(f931(x46921,x46922),a923))),x46921),f319(f8(f931(x46921,x46922),f932(f932(f931(x46921,x46922),a923),f932(f931(x46921,x46922),a923)),x46922),f301(f931(x46921,x46922)))),f244(x46921,x46922)))),f180(f932(f931(x46921,x46922),a923))))),f319(f319(f246(x46921,x46922),x46923),x46924)) % 219.21/219.52 [4259]E(f319(f319(f126(x42591),f319(f319(f167(x42591),x42592),x42593)),f319(f319(f167(x42591),f319(f319(f23(a925),x42592),f319(f181(f926(x42591)),x42593))),x42594)),f319(f319(f167(x42591),x42592),f319(f319(f126(x42591),x42593),x42594))) % 219.21/219.52 [4260]E(f319(f319(f126(x42601),f319(f319(f130(x42601),x42602),x42603)),f319(f319(f130(x42601),f319(f319(f23(a925),x42602),f319(f181(f926(x42601)),x42603))),x42604)),f319(f319(f130(x42601),x42602),f319(f319(f126(x42601),x42603),x42604))) % 219.21/219.52 [4309]E(f319(f319(f74(a925),f319(f319(f75(a925),x43091),x43092)),f319(f319(f74(a925),f319(f319(f75(a925),x43093),x43092)),x43094)),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f74(a925),x43091),x43093)),x43092)),x43094)) % 219.21/219.52 [4454]E(f84(x44541,f319(f319(f7(x44541,x44542,a923),f319(f319(f8(x44542,f932(x44542,a923),x44541),a316),x44543)),x44544)),f319(f85(x44541,x44542,f234(f932(x44541,a923)),x44543),x44544)) % 219.21/219.52 [4502]P1(f319(f319(f226(f932(x45021,a923)),f319(f319(f23(f932(x45021,a923)),f319(f276(x45022,x45021),x45023)),f319(f276(x45022,x45021),x45024))),f319(f276(x45022,x45021),f319(f319(f23(f932(f931(x45022,x45021),a923)),x45023),x45024)))) % 219.21/219.52 [4503]P1(f319(f319(f226(f932(x45031,a923)),f319(f319(f23(f932(x45031,a923)),f319(f256(x45031,x45032),x45033)),f319(f256(x45031,x45032),x45034))),f319(f256(x45031,x45032),f319(f319(f23(f932(f931(x45031,x45032),a923)),x45033),x45034)))) % 219.21/219.52 [4611]E(f319(f319(f74(a1),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x46111),x46112)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x46113),x46114)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),f319(f319(f74(a925),x46111),x46113)),f319(f319(f74(a925),x46112),x46114))),f180(f932(f931(a925,a925),a923)))))) % 219.21/219.52 [4651]E(f319(f319(f75(a1),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x46511),x46512)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x46513),x46514)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),f319(f319(f74(a925),f319(f319(f75(a925),x46511),x46513)),f319(f319(f75(a925),x46512),x46514))),f319(f319(f74(a925),f319(f319(f75(a925),x46511),x46514)),f319(f319(f75(a925),x46512),x46513)))),f180(f932(f931(a925,a925),a923)))))) % 219.21/219.52 [4672]E(f319(f254(x46721),f319(f319(f8(f932(x46722,a923),a923,x46721),f82(x46722)),f319(f319(f8(f932(x46722,a923),f932(x46722,a923),x46721),f319(f18(x46722,a923,a923),f319(f319(f8(a923,f932(a923,a923),x46722),a322),f319(f319(f7(x46722,f932(x46722,a923),a923),f321(x46722)),x46723)))),f319(f319(f7(x46721,f932(x46722,f932(x46721,a923)),f932(x46722,a923)),f319(f319(f8(f932(f932(x46721,a923),a923),f932(f932(x46722,f932(x46721,a923)),f932(x46722,a923)),x46721),f8(f932(x46721,a923),a923,x46722)),f321(x46721))),x46724)))),f319(f319(f34(x46722,f932(x46721,a923)),x46723),x46724)) % 219.21/219.52 [4704]E(f319(f319(f281(x47041,x47041,x47041),f319(f319(f301(f931(x47041,x47041)),f319(f319(f244(x47041,x47041),x47042),x47043)),x47044)),f299(x47041,f319(f319(f301(f931(x47041,x47041)),f319(f319(f244(x47041,x47041),x47042),x47043)),x47044))),f319(f319(f102(f932(f931(x47041,x47041),a923)),f319(f319(f281(x47041,x47041,x47041),x47044),f299(x47041,x47044))),f319(f254(f931(x47041,x47041)),f319(f249(x47041,x47041,a923),f319(f319(f7(x47041,f932(x47041,a923),f932(x47041,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x47041,a923),f932(x47041,a923)),x47041),f8(a923,a923,x47041)),f319(f319(f8(a923,f932(a923,a923),x47041),a317),f319(f319(f7(x47041,f932(f931(x47041,x47041),a923),a923),f319(f319(f8(f931(x47041,x47041),f932(f932(f931(x47041,x47041),a923),a923),x47041),f321(f931(x47041,x47041))),f319(f319(f7(x47041,x47041,f931(x47041,x47041)),f244(x47041,x47041)),x47042))),f299(x47041,x47044))))),f319(f319(f7(x47041,f932(f931(x47041,x47041),a923),a923),f319(f319(f8(f931(x47041,x47041),f932(f932(f931(x47041,x47041),a923),a923),x47041),f321(f931(x47041,x47041))),f319(f244(x47041,x47041),x47043))),f299(x47041,x47044))))))) % 219.21/219.52 [4504]E(f319(f128(x45041,f319(f319(f18(x45041,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45041),a317),x45042)),x45043)),x45044),f319(f128(x45041,x45043),f319(f128(x45041,x45042),x45044))) % 219.21/219.52 [4605]E(f319(f319(f126(x46051),f319(f319(f319(f86(f926(x46051)),f319(f319(f321(a925),f2(a925)),x46052)),f319(f319(f143(x46051),x46053),f105(x46051))),f105(x46051))),f168(x46051,x46054,f319(f254(a925),f319(f319(f7(a925,f932(a925,a923),a923),f319(f319(f8(a925,f932(f932(a925,a923),a923),a925),f321(a925)),a104)),x46052)))),f168(x46051,f319(f319(f143(x46051),x46053),x46054),x46052)) % 219.21/219.52 [4700]E(f319(f254(f931(x47001,x47002)),f319(f319(f8(f932(a925,a923),a923,f931(x47001,x47002)),f81(a925)),f319(f319(f7(f931(x47001,x47002),f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),f931(x47001,x47002)),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),f931(x47001,x47002)),f319(f8(a923,f932(a923,a923),a925),a317)),f319(f319(f7(f931(x47001,x47002),f932(a925,f931(x47001,x47002)),f932(a925,a923)),f319(f319(f8(f932(f931(x47001,x47002),a923),f932(f932(a925,f931(x47001,x47002)),f932(a925,a923)),f931(x47001,x47002)),f8(f931(x47001,x47002),a923,a925)),a316)),f319(f319(f18(a925,x47002,f931(x47001,x47002)),f319(f319(f8(x47001,f932(x47002,f931(x47001,x47002)),a925),f244(x47001,x47002)),f319(f156(x47001),x47003))),f319(f156(x47002),x47004)))))),f319(f319(f7(a925,a925,a923),f227(a925)),f319(f319(f224(a925),f319(f181(f926(x47001)),x47003)),f319(f181(f926(x47002)),x47004)))))),f319(f164(f931(x47001,x47002)),f319(f319(f173(x47001,x47002),x47003),x47004))) % 219.21/219.52 [4624]E(f319(f254(f931(x46241,x46242)),f319(f249(x46241,x46242,a923),f319(f319(f7(x46241,f932(x46242,a923),f932(x46242,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x46242,a923),f932(x46242,a923)),x46241),f8(a923,a923,x46242)),f319(f319(f8(a923,f932(a923,a923),x46241),a317),x46243))),x46244))),f319(f319(f246(x46241,x46242),f319(f254(x46241),x46243)),f319(f16(f932(x46242,a923),x46241),f319(f254(x46242),x46244)))) % 219.21/219.52 [4627]E(f319(f254(f931(x46271,x46272)),f319(f249(x46271,x46272,a923),f319(f319(f18(x46271,f932(x46272,a923),f932(x46272,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x46272,a923),f932(x46272,a923)),x46271),f8(a923,a923,x46272)),f319(f319(f8(a923,f932(a923,a923),x46271),a317),x46273))),x46274))),f319(f319(f246(x46271,x46272),f319(f254(x46271),x46273)),f319(f319(f8(f932(x46272,a923),f932(x46272,a923),x46271),f254(x46272)),x46274))) % 219.21/219.52 [4639]E(f319(f254(x46391),f319(f319(f8(f932(x46392,a923),a923,x46391),f82(x46392)),f319(f319(f8(f932(x46392,a923),f932(x46392,a923),x46391),f319(f18(x46392,a923,a923),f319(f319(f8(a923,f932(a923,a923),x46392),a322),f319(f319(f7(x46392,f932(x46392,a923),a923),f321(x46392)),x46393)))),x46394))),f319(f319(f34(x46392,f932(x46391,a923)),x46393),f319(f319(f8(f932(x46391,a923),f932(x46391,a923),x46392),f254(x46391)),f319(f7(x46391,x46392,a923),x46394)))) % 219.21/219.52 [4684]E(f319(f319(f146(f931(x46841,a925),x46841),f243(x46841,a925)),f319(f128(f931(x46841,a925),f319(f319(f7(f931(x46841,a925),f932(a925,a923),a923),f319(f319(f8(a925,f932(f932(a925,a923),a923),f931(x46841,a925)),f321(a925)),f248(x46841,a925))),x46842)),f319(f319(f173(x46841,a925),x46843),f131(a925,f319(f294(a925,x46844),f319(f319(f74(a925),x46844),f319(f181(f926(x46841)),x46843))))))),f319(f319(f146(f931(x46841,a925),x46841),f243(x46841,a925)),f319(f128(f931(x46841,a925),f319(f319(f7(f931(x46841,a925),f932(a925,a923),a923),f319(f319(f8(a925,f932(f932(a925,a923),a923),f931(x46841,a925)),f321(a925)),f319(f319(f7(f931(x46841,a925),a925,a925),f319(f319(f8(a925,f932(a925,a925),f931(x46841,a925)),f74(a925)),f248(x46841,a925))),x46844))),x46842)),f319(f319(f173(x46841,a925),x46843),f131(a925,f319(f294(a925,f2(a925)),f319(f181(f926(x46841)),x46843))))))) % 219.21/219.52 [4685]E(f319(a104,f319(f319(f225(a925),f319(f181(f926(x46851)),x46852)),f319(f134(a925,f926(x46853),f319(f7(f926(x46853),a925,a925),f319(f319(f8(a925,f932(a925,a925),f926(x46853)),f225(a925)),f319(f319(f7(f926(x46853),a925,a925),f319(f319(f8(a925,f932(a925,a925),f926(x46853)),f23(a925)),f181(f926(x46853)))),f319(a104,f2(a925))))),f2(a925)),f319(f160(f926(x46853)),f319(f128(f926(x46853),f319(f319(f8(a923,a923,f926(x46853)),a314),f319(f319(f7(f926(x46853),f926(x46853),a923),a316),f105(x46853)))),x46854))))),f319(f319(f225(a925),f319(a104,f319(f181(f926(x46851)),x46852))),f319(f134(a925,f926(x46853),f319(f7(f926(x46853),a925,a925),f319(f319(f8(a925,f932(a925,a925),f926(x46853)),f225(a925)),f181(f926(x46853)))),f2(a925)),f319(f160(f926(x46853)),x46854)))) % 219.21/219.52 [4638]E(f319(f319(f126(x46381),f168(x46381,x46382,x46383)),f168(x46381,x46384,f319(f254(a925),f319(f319(f7(a925,f932(a925,a923),a923),f319(f319(f8(a925,f932(f932(a925,a923),a923),a925),f321(a925)),f319(f319(f7(a925,a925,a925),f74(a925)),f319(f181(f926(x46381)),x46382)))),x46383)))),f168(x46381,f319(f319(f126(x46381),x46382),x46384),x46383)) % 219.21/219.52 [4686]E(f31(f932(x46861,a923),f319(f254(f932(x46861,a923)),f319(f319(f8(f932(x46862,a923),a923,f932(x46861,a923)),f81(x46862)),f319(f319(f8(f932(x46862,a923),f932(x46862,a923),f932(x46861,a923)),f319(f18(x46862,a923,a923),f319(f319(f8(a923,f932(a923,a923),x46862),a317),f319(f319(f7(x46862,f932(x46862,a923),a923),f321(x46862)),x46863)))),f319(f319(f7(f932(x46861,a923),f932(x46862,f932(x46861,a923)),f932(x46862,a923)),f319(f319(f8(f932(f932(x46861,a923),a923),f932(f932(x46862,f932(x46861,a923)),f932(x46862,a923)),f932(x46861,a923)),f8(f932(x46861,a923),a923,x46862)),a316)),x46864))))),f319(f319(f33(x46862,f932(x46861,a923)),x46863),x46864)) % 219.21/219.52 [4687]E(f32(f932(x46871,a923),f319(f254(f932(x46871,a923)),f319(f319(f8(f932(x46872,a923),a923,f932(x46871,a923)),f81(x46872)),f319(f319(f8(f932(x46872,a923),f932(x46872,a923),f932(x46871,a923)),f319(f18(x46872,a923,a923),f319(f319(f8(a923,f932(a923,a923),x46872),a317),f319(f319(f7(x46872,f932(x46872,a923),a923),f321(x46872)),x46873)))),f319(f319(f7(f932(x46871,a923),f932(x46872,f932(x46871,a923)),f932(x46872,a923)),f319(f319(f8(f932(f932(x46871,a923),a923),f932(f932(x46872,f932(x46871,a923)),f932(x46872,a923)),f932(x46871,a923)),f8(f932(x46871,a923),a923,x46872)),a316)),x46874))))),f319(f319(f34(x46872,f932(x46871,a923)),x46873),x46874)) % 219.21/219.52 [4694]E(f319(f319(f143(f926(x46941)),f319(f319(f143(x46941),x46942),f319(f134(f926(x46941),f926(x46941),f126(x46941),f105(x46941)),f319(f319(f146(f926(x46941),f926(x46941)),f148(f926(x46941),x46941,f105(x46941),f319(f319(f8(f926(x46941),f932(f926(x46941),f926(x46941)),x46941),f16(f926(x46941),f926(x46941))),f319(f319(f7(x46941,f926(x46941),f926(x46941)),f143(x46941)),f105(x46941))))),x46943)))),f171(x46941,f319(f319(f143(f926(x46941)),x46944),f319(f134(f926(f926(x46941)),f926(f926(x46941)),f126(f926(x46941)),f105(f926(x46941))),f319(f319(f146(f926(x46941),f926(f926(x46941))),f148(f926(f926(x46941)),x46941,f105(f926(x46941)),f319(f16(f932(f926(x46941),f926(f926(x46941))),x46941),f319(f319(f7(f926(x46941),f926(f926(x46941)),f926(f926(x46941))),f143(f926(x46941))),f105(f926(x46941)))))),x46943))))),f171(x46941,f319(f319(f143(f926(x46941)),f319(f319(f143(x46941),x46942),x46944)),x46943))) % 219.21/219.52 [4701]E(f319(f254(f931(x47011,x47011)),f319(f249(x47011,x47011,a923),f319(f319(f7(x47011,f932(f931(x47012,x47012),a923),f932(x47011,a923)),f319(f319(f8(f932(x47011,f932(f932(f931(x47012,x47012),a923),a923)),f932(f932(f931(x47012,x47012),a923),f932(x47011,a923)),x47011),f7(x47011,f932(f931(x47012,x47012),a923),a923)),f319(f319(f8(f932(x47011,f931(x47012,x47012)),f932(x47011,f932(f932(f931(x47012,x47012),a923),a923)),x47011),f319(f8(f931(x47012,x47012),f932(f932(f931(x47012,x47012),a923),a923),x47011),f321(f931(x47012,x47012)))),f319(f319(f7(x47011,f932(x47011,x47012),f932(x47011,f931(x47012,x47012))),f319(f319(f8(f932(x47012,f931(x47012,x47012)),f932(f932(x47011,x47012),f932(x47011,f931(x47012,x47012))),x47011),f8(x47012,f931(x47012,x47012),x47011)),f319(f319(f8(x47012,f932(x47012,f931(x47012,x47012)),x47011),f244(x47012,x47012)),x47013))),x47013)))),x47014))),f319(f319(f280(x47012,x47011),x47014),x47013)) % 219.21/219.52 [3840]E(f319(f319(f146(x38401,x38402),x38403),f161(x38401,x38404,x38405)),f161(x38402,x38404,f319(x38403,x38405))) % 219.21/219.52 [4172]E(f122(x41721,x41722,x41723,f118(x41721,x41724,x41725)),f118(x41722,f319(x41723,x41724),f122(x41721,x41722,x41723,x41725))) % 219.21/219.52 [4403]E(f319(f68(x44031,x44032,x44033,x44034,x44035),x44034),x44035) % 219.21/219.52 [4455]E(f245(x44551,x44552,x44553,f235(x44552,x44551,x44554),f235(x44553,x44552,x44555)),f235(x44553,x44551,f245(x44553,x44552,x44551,x44555,x44554))) % 219.21/219.52 [4033]E(f319(f319(f249(x40331,x40332,x40333),x40334),x40335),f319(f319(x40334,f319(f243(x40331,x40332),x40335)),f319(f248(x40331,x40332),x40335))) % 219.21/219.52 [4067]E(f319(f319(f319(f59(x40671,x40672,x40673),x40674),x40675),f180(f932(x40672,a923))),x40675) % 219.21/219.52 [4343]E(f319(f66(f926(x43431),f926(x43432),f926(x43433),f319(f146(x43431,x43432),x43434)),f319(f146(x43433,x43431),x43435)),f319(f146(x43433,x43432),f319(f66(x43431,x43432,x43433,x43434),x43435))) % 219.21/219.52 [4417]E(f79(x44171,f60(x44172,x44171,x44173,x44174,x44175)),f319(f319(f58(x44172,x44171,x44173),x44174),x44175)) % 219.21/219.52 [4451]E(f319(f319(f74(a925),f319(f319(f74(a925),f319(x44511,f319(f243(x44512,x44513),x44514))),f319(x44515,f319(f248(x44512,x44513),x44514)))),f319(a104,f2(a925))),f253(x44512,x44513,x44511,x44515,x44514)) % 219.21/219.52 [3970]E(f319(f319(f167(x39701),x39702),f319(f319(f146(x39703,x39701),x39704),x39705)),f319(f319(f146(x39703,x39701),x39704),f319(f319(f167(x39703),x39702),x39705))) % 219.21/219.52 [3971]E(f319(f319(f130(x39711),x39712),f319(f319(f146(x39713,x39711),x39714),x39715)),f319(f319(f146(x39713,x39711),x39714),f319(f319(f130(x39713),x39712),x39715))) % 219.21/219.52 [4002]E(f319(f319(f146(x40021,x40022),x40023),f319(f319(f143(x40021),x40024),x40025)),f319(f319(f143(x40022),f319(x40023,x40024)),f319(f319(f146(x40021,x40022),x40023),x40025))) % 219.21/219.52 [4063]E(f319(f302(x40631,x40632,x40633),f319(f319(f301(x40631),x40634),x40635)),f319(f319(f301(x40632),f319(x40633,x40634)),f319(f302(x40631,x40632,x40633),x40635))) % 219.21/219.52 [4091]E(f165(x40911,f319(f319(f143(x40911),x40912),x40913),f319(f319(f143(x40911),x40914),x40915)),f319(f319(f143(x40911),x40912),f319(f319(f143(x40911),x40914),f165(x40911,x40913,x40915)))) % 219.21/219.52 [4127]E(f319(f319(f173(x41271,x41272),f319(f319(f167(x41271),x41273),x41274)),f319(f319(f167(x41272),x41273),x41275)),f319(f319(f167(f931(x41271,x41272)),x41273),f319(f319(f173(x41271,x41272),x41274),x41275))) % 219.21/219.52 [4128]E(f319(f319(f173(x41281,x41282),f319(f319(f130(x41281),x41283),x41284)),f319(f319(f130(x41282),x41283),x41285)),f319(f319(f130(f931(x41281,x41282)),x41283),f319(f319(f173(x41281,x41282),x41284),x41285))) % 219.21/219.52 [4137]E(f319(f319(f151(x41371,f319(f319(f143(x41371),x41372),x41373)),f319(a104,x41374)),x41375),f319(f319(f143(x41371),x41372),f319(f319(f151(x41371,x41373),x41374),x41375))) % 219.21/219.52 [4140]E(f319(f319(f126(x41401),f319(f319(f146(x41402,x41401),x41403),x41404)),f319(f319(f146(x41402,x41401),x41403),x41405)),f319(f319(f146(x41402,x41401),x41403),f319(f319(f126(x41402),x41404),x41405))) % 219.21/219.52 [4144]E(f319(f319(x41441,x41442),f319(f319(f237(x41443,x41444,x41441),x41442),x41445)),f319(f319(f237(x41443,x41444,x41441),x41442),f319(a104,x41445))) % 219.21/219.52 [4176]E(f155(x41761,x41762,x41763,f319(f319(f143(x41761),x41764),x41765)),f319(f319(f126(x41762),f319(x41763,x41764)),f155(x41761,x41762,x41763,x41765))) % 219.21/219.52 [4188]E(f319(f319(f281(x41881,x41882,x41883),f319(f278(x41882,x41881),x41884)),f319(f278(x41883,x41882),x41885)),f319(f278(x41883,x41881),f319(f319(f281(x41883,x41882,x41881),x41885),x41884))) % 219.21/219.52 [4220]E(f319(f319(f319(f175(f926(x42201),f926(x42201)),x42202),f159(x42201)),f319(f319(f146(x42203,x42201),x42204),x42205)),f319(f319(f146(x42203,x42201),x42204),f319(f319(f319(f175(f926(x42203),f926(x42203)),x42202),f159(x42203)),x42205))) % 219.21/219.52 [4221]E(f319(f319(f251(x42211,x42212,x42211,x42213),f319(f244(x42212,x42211),x42214)),x42215),f319(x42215,x42214)) % 219.21/219.52 [4245]E(f147(x42451,x42452,f319(f319(f146(x42453,x42451),x42454),x42455)),f147(x42453,f319(f66(x42451,a925,x42453,x42452),x42454),x42455)) % 219.21/219.52 [4308]E(f169(f931(x43081,x43082),f319(f66(x43082,a923,f931(x43081,x43082),x43083),f248(x43081,x43082)),f319(f319(f173(x43081,x43082),x43084),x43085)),f319(f319(f173(x43081,x43082),x43084),f169(x43082,x43083,x43085))) % 219.21/219.52 [4313]E(f319(f302(x43131,x43132,f319(f319(f8(x43133,x43132,x43131),x43134),x43135)),f234(f932(x43131,a923))),f319(f302(x43133,x43132,x43134),f319(f302(x43131,x43133,x43135),f234(f932(x43131,a923))))) % 219.21/219.52 [4326]E(f169(f931(x43261,x43262),f319(f66(x43261,a923,f931(x43261,x43262),x43263),f243(x43261,x43262)),f319(f319(f173(x43261,x43262),x43264),x43265)),f319(f319(f173(x43261,x43262),f169(x43261,x43263,x43264)),x43265)) % 219.21/219.52 [4347]E(f319(f319(f102(f932(x43471,a923)),f319(f303(x43471,x43472,x43473),f319(f319(f301(x43472),x43474),f180(f932(x43472,a923))))),f319(f303(x43471,x43472,x43473),x43475)),f319(f303(x43471,x43472,x43473),f319(f319(f301(x43472),x43474),x43475))) % 219.21/219.52 [4402]E(f319(f319(f126(f931(x44021,x44022)),f319(f319(f146(x44022,f931(x44021,x44022)),f319(f244(x44021,x44022),x44023)),x44024)),f53(x44021,x44022,x44025,x44024)),f53(x44021,x44022,f319(f319(f143(x44021),x44023),x44025),x44024)) % 219.21/219.52 [4404]E(f319(f319(f146(x44041,x44042),x44043),f169(x44041,f319(f66(x44042,a923,x44041,x44044),x44043),x44045)),f169(x44042,x44044,f319(f319(f146(x44041,x44042),x44043),x44045))) % 219.21/219.52 [4409]E(f319(f134(x44091,x44092,f319(f7(x44092,x44091,x44091),f319(f7(x44091,x44092,x44091),x44093)),x44094),f319(f160(x44092),f319(f160(x44092),x44095))),f319(f134(x44091,x44092,x44093,x44094),x44095)) % 219.21/219.52 [4512]P1(f319(f319(f226(f932(x45121,a923)),f319(f302(x45122,x45121,x45123),f319(f319(f93(f932(x45122,a923)),x45124),x45125))),f319(f319(f93(f932(x45121,a923)),f319(f302(x45122,x45121,x45123),x45124)),f319(f302(x45122,x45121,x45123),x45125)))) % 219.21/219.52 [4513]P1(f319(f319(f226(f932(x45131,a923)),f319(f277(x45132,x45131,x45133),f319(f319(f93(f932(x45132,a923)),x45134),x45135))),f319(f319(f93(f932(x45131,a923)),f319(f277(x45132,x45131,x45133),x45134)),f319(f277(x45132,x45131,x45133),x45135)))) % 219.21/219.52 [4612]E(f319(f248(x46121,x46122),f319(f250(x46123,x46121,x46122,x46122,x46124,f25(x46122)),x46125)),f319(f248(x46123,x46122),x46125)) % 219.21/219.52 [4613]E(f319(f243(x46131,x46132),f319(f250(x46131,x46131,x46133,x46132,f25(x46131),x46134),x46135)),f319(f243(x46131,x46133),x46135)) % 219.21/219.52 [3812]E(f319(f319(f319(f319(f196(x38121),x38122),x38123),x38124),x38125),f184(x38121,x38122)) % 219.21/219.52 [3813]E(f319(f319(f319(f319(f200(x38131),x38132),x38133),x38134),x38135),f191(x38131,x38132)) % 219.21/219.52 [4177]E(f319(f319(f33(x41771,f932(x41772,a923)),f319(f319(f301(x41771),x41773),x41774)),x41775),f319(f319(f102(f932(x41772,a923)),f319(x41775,x41773)),f319(f319(f33(x41771,f932(x41772,a923)),x41774),x41775))) % 219.21/219.52 [4178]E(f319(f319(f34(x41781,f932(x41782,a923)),f319(f319(f301(x41781),x41783),x41784)),x41785),f319(f319(f93(f932(x41782,a923)),f319(x41785,x41783)),f319(f319(f34(x41781,f932(x41782,a923)),x41784),x41785))) % 219.21/219.52 [4228]E(f319(f110(x42281,x42282,f319(x42283,x42284)),f319(f319(f7(x42281,a91,f927(x42282)),x42285),x42284)),f319(f189(x42281,x42282,x42283,x42285),x42284)) % 219.21/219.52 [4239]E(f319(f319(f102(f932(x42391,a923)),f319(f302(x42392,x42391,x42393),x42394)),f319(f302(x42392,x42391,x42393),x42395)),f319(f302(x42392,x42391,x42393),f319(f319(f102(f932(x42392,a923)),x42394),x42395))) % 219.21/219.52 [4240]E(f319(f319(f102(f932(x42401,a923)),f319(f303(x42401,x42402,x42403),x42404)),f319(f303(x42401,x42402,x42403),x42405)),f319(f303(x42401,x42402,x42403),f319(f319(f102(f932(x42402,a923)),x42404),x42405))) % 219.21/219.52 [4241]E(f319(f319(f93(f932(x42411,a923)),f319(f303(x42411,x42412,x42413),x42414)),f319(f303(x42411,x42412,x42413),x42415)),f319(f303(x42411,x42412,x42413),f319(f319(f93(f932(x42412,a923)),x42414),x42415))) % 219.21/219.52 [4242]E(f319(f319(f23(f932(x42421,a923)),f319(f303(x42421,x42422,x42423),x42424)),f319(f303(x42421,x42422,x42423),x42425)),f319(f303(x42421,x42422,x42423),f319(f319(f23(f932(x42422,a923)),x42424),x42425))) % 219.21/219.52 [4243]E(f319(f319(f102(f932(x42431,a923)),f319(f277(x42432,x42431,x42433),x42434)),f319(f277(x42432,x42431,x42433),x42435)),f319(f277(x42432,x42431,x42433),f319(f319(f102(f932(x42432,a923)),x42434),x42435))) % 219.21/219.52 [4304]E(f319(f319(f151(x43041,f319(f319(f126(x43041),x43042),f319(f319(f143(x43041),x43043),x43044))),f319(f181(f926(x43041)),x43042)),x43045),f319(f319(f126(x43041),x43042),f319(f319(f143(x43041),x43045),x43044))) % 219.21/219.52 [4311]E(f319(f319(f34(x43111,f932(x43112,a923)),x43113),f319(f319(f8(f932(x43112,a923),f932(x43112,a923),x43111),f319(f301(x43112),x43114)),x43115)),f319(f319(f301(x43112),x43114),f319(f319(f34(x43111,f932(x43112,a923)),x43113),x43115))) % 219.21/219.52 [4464]E(f319(f319(f146(x44641,x44642),x44643),f319(f128(x44641,f319(f66(x44642,a923,x44641,x44644),x44643)),x44645)),f319(f128(x44642,x44644),f319(f319(f146(x44641,x44642),x44643),x44645))) % 219.21/219.52 [4470]E(f319(f181(f926(x44701)),f319(f128(x44701,x44702),f319(f319(f146(x44703,x44701),x44704),x44705))),f319(f181(f926(x44703)),f319(f128(x44703,f319(f66(x44701,a923,x44703,x44702),x44704)),x44705))) % 219.21/219.52 [4677]E(f319(f148(f926(f931(x46771,x46772)),x46772,f105(f931(x46771,x46772)),f319(f319(f7(x46772,f932(f926(x46772),f926(f931(x46771,x46772))),f932(f926(x46772),f926(f931(x46771,x46772)))),f319(f319(f8(f932(f926(f931(x46771,x46772)),f926(f931(x46771,x46772))),f932(f932(f926(x46772),f926(f931(x46771,x46772))),f932(f926(x46772),f926(f931(x46771,x46772)))),x46772),f8(f926(f931(x46771,x46772)),f926(f931(x46771,x46772)),f926(x46772))),f319(f319(f8(f931(x46771,x46772),f932(f926(f931(x46771,x46772)),f926(f931(x46771,x46772))),x46772),f143(f931(x46771,x46772))),f319(f244(x46771,x46772),x46773)))),f319(f173(x46771,x46772),x46774))),x46775),f319(f319(f173(x46771,x46772),f319(f319(f143(x46771),x46773),x46774)),x46775)) % 219.21/219.52 [4169]E(f319(f319(f151(x41691,f319(f319(f151(x41691,x41692),x41693),x41694)),x41693),x41695),f319(f319(f151(x41691,x41692),x41693),x41695)) % 219.21/219.52 [4222]E(f319(f276(x42221,x42222),f319(f319(f301(f931(x42221,x42222)),f319(f319(f244(x42221,x42222),x42223),x42224)),x42225)),f319(f319(f301(x42222),x42224),f319(f276(x42221,x42222),x42225))) % 219.21/219.52 [4223]E(f319(f256(x42231,x42232),f319(f319(f301(f931(x42231,x42232)),f319(f319(f244(x42231,x42232),x42233),x42234)),x42235)),f319(f319(f301(x42231),x42233),f319(f256(x42231,x42232),x42235))) % 219.21/219.52 [4269]E(f114(x42691,x42692,f319(x42693,x42694),f319(f319(f7(x42691,a91,f927(f929(x42692))),x42695),x42694)),f319(f187(x42691,x42692,x42693,x42695),x42694)) % 219.21/219.52 [4297]E(f319(f319(f102(f932(f931(x42971,x42972),a923)),f319(f319(f246(x42971,x42972),x42973),x42974)),f319(f319(f246(x42971,x42972),x42975),x42974)),f319(f319(f246(x42971,x42972),f319(f319(f102(f932(x42971,a923)),x42973),x42975)),x42974)) % 219.21/219.52 [4298]E(f319(f319(f93(f932(f931(x42981,x42982),a923)),f319(f319(f246(x42981,x42982),x42983),x42984)),f319(f319(f246(x42981,x42982),x42985),x42984)),f319(f319(f246(x42981,x42982),f319(f319(f93(f932(x42981,a923)),x42983),x42985)),x42984)) % 219.21/219.52 [4299]E(f319(f319(f23(f932(f931(x42991,x42992),a923)),f319(f319(f246(x42991,x42992),x42993),x42994)),f319(f319(f246(x42991,x42992),x42995),x42994)),f319(f319(f246(x42991,x42992),f319(f319(f23(f932(x42991,a923)),x42993),x42995)),x42994)) % 219.21/219.52 [4358]E(f319(f319(f102(f932(x43581,a923)),f319(f319(f33(x43582,f932(x43581,a923)),x43583),x43584)),f319(f319(f33(x43582,f932(x43581,a923)),x43585),x43584)),f319(f319(f33(x43582,f932(x43581,a923)),f319(f319(f102(f932(x43582,a923)),x43583),x43585)),x43584)) % 219.21/219.52 [4359]E(f319(f319(f93(f932(x43591,a923)),f319(f319(f34(x43592,f932(x43591,a923)),x43593),x43594)),f319(f319(f34(x43592,f932(x43591,a923)),x43595),x43594)),f319(f319(f34(x43592,f932(x43591,a923)),f319(f319(f102(f932(x43592,a923)),x43593),x43595)),x43594)) % 219.21/219.52 [4373]E(f319(f319(f33(x43731,f932(x43732,a923)),x43733),f319(f319(f8(f932(x43732,a923),f932(x43732,a923),x43731),f319(f93(f932(x43732,a923)),x43734)),x43735)),f319(f319(f93(f932(x43732,a923)),x43734),f319(f319(f33(x43731,f932(x43732,a923)),x43733),x43735))) % 219.21/219.52 [4374]E(f319(f319(f33(x43741,f932(x43742,a923)),x43743),f319(f319(f8(f932(x43742,a923),f932(x43742,a923),x43741),f319(f23(f932(x43742,a923)),x43744)),x43745)),f319(f319(f23(f932(x43742,a923)),x43744),f319(f319(f34(x43741,f932(x43742,a923)),x43743),x43745))) % 219.21/219.52 [4375]E(f319(f319(f34(x43751,f932(x43752,a923)),x43753),f319(f319(f8(f932(x43752,a923),f932(x43752,a923),x43751),f319(f102(f932(x43752,a923)),x43754)),x43755)),f319(f319(f102(f932(x43752,a923)),x43754),f319(f319(f34(x43751,f932(x43752,a923)),x43753),x43755))) % 219.21/219.52 [4429]E(f177(f926(x44291),f319(f319(f143(x44291),x44292),x44293),f319(f319(f8(f926(x44291),f926(x44291),a925),f319(f143(x44291),x44294)),f319(f319(f7(a925,x44291,f926(x44291)),f151(x44291,x44293)),x44292)),x44295),f319(f319(f151(x44291,f319(f319(f143(x44291),x44294),x44293)),x44295),x44292)) % 219.21/219.52 [4433]E(f319(f319(f33(x44331,f932(f931(x44332,x44333),a923)),x44334),f319(f319(f8(f932(f931(x44333,x44332),a923),f932(f931(x44332,x44333),a923),x44331),f278(x44333,x44332)),x44335)),f319(f278(x44333,x44332),f319(f319(f33(x44331,f932(f931(x44333,x44332),a923)),x44334),x44335))) % 219.21/219.52 [4434]E(f319(f319(f34(x44341,f932(f931(x44342,x44343),a923)),x44344),f319(f319(f8(f932(f931(x44343,x44342),a923),f932(f931(x44342,x44343),a923),x44341),f278(x44343,x44342)),x44345)),f319(f278(x44343,x44342),f319(f319(f34(x44341,f932(f931(x44343,x44342),a923)),x44344),x44345))) % 219.21/219.52 [4535]P1(f319(f319(f226(f932(x45351,a923)),f319(f319(f23(f932(x45351,a923)),f319(f302(x45352,x45351,x45353),x45354)),f319(f302(x45352,x45351,x45353),x45355))),f319(f302(x45352,x45351,x45353),f319(f319(f23(f932(x45352,a923)),x45354),x45355)))) % 219.21/219.52 [4680]E(f319(f148(f926(f931(x46801,x46802)),x46801,f105(f931(x46801,x46802)),f319(f319(f7(x46801,f932(f926(x46801),f926(f931(x46801,x46802))),f932(f926(x46801),f926(f931(x46801,x46802)))),f319(f319(f8(f932(f926(f931(x46801,x46802)),f926(f931(x46801,x46802))),f932(f932(f926(x46801),f926(f931(x46801,x46802))),f932(f926(x46801),f926(f931(x46801,x46802)))),x46801),f8(f926(f931(x46801,x46802)),f926(f931(x46801,x46802)),f926(x46801))),f319(f319(f8(f931(x46801,x46802),f932(f926(f931(x46801,x46802)),f926(f931(x46801,x46802))),x46801),f143(f931(x46801,x46802))),f319(f319(f7(x46801,x46802,f931(x46801,x46802)),f244(x46801,x46802)),x46803)))),f319(f319(f7(f926(x46801),f926(x46802),f926(f931(x46801,x46802))),f173(x46801,x46802)),x46804))),x46805),f319(f319(f173(x46801,x46802),x46805),f319(f319(f143(x46802),x46803),x46804))) % 219.21/219.52 [4398]E(f319(f319(f102(f932(x43981,a923)),f319(f277(x43982,x43981,x43983),x43984)),f319(f277(x43982,x43981,x43985),x43984)),f319(f277(x43982,x43981,f319(f319(f102(f932(f931(x43982,x43981),a923)),x43983),x43985)),x43984)) % 219.21/219.52 [4435]E(f319(f319(f126(f931(x44351,x44352)),f319(f319(f173(x44351,x44352),x44353),f319(f319(f167(x44352),f319(f181(f926(x44351)),x44353)),x44354))),f319(f319(f173(x44351,x44352),x44355),f319(f319(f130(x44352),f319(f181(f926(x44351)),x44353)),x44354))),f319(f319(f173(x44351,x44352),f319(f319(f126(x44351),x44353),x44355)),x44354)) % 219.21/219.52 [4538]E(f319(f319(f246(x45381,x45382),x45383),f319(f319(f18(x45381,f932(x45382,a923),f932(x45382,a923)),f319(f319(f8(f932(x45382,a923),f932(f932(x45382,a923),f932(x45382,a923)),x45381),f102(f932(x45382,a923))),x45384)),x45385)),f319(f319(f102(f932(f931(x45381,x45382),a923)),f319(f319(f246(x45381,x45382),x45383),x45384)),f319(f319(f246(x45381,x45382),x45383),x45385))) % 219.21/219.52 [4539]E(f319(f319(f246(x45391,x45392),x45393),f319(f319(f18(x45391,f932(x45392,a923),f932(x45392,a923)),f319(f319(f8(f932(x45392,a923),f932(f932(x45392,a923),f932(x45392,a923)),x45391),f93(f932(x45392,a923))),x45394)),x45395)),f319(f319(f93(f932(f931(x45391,x45392),a923)),f319(f319(f246(x45391,x45392),x45393),x45394)),f319(f319(f246(x45391,x45392),x45393),x45395))) % 219.21/219.52 [4540]E(f319(f319(f246(x45401,x45402),x45403),f319(f319(f18(x45401,f932(x45402,a923),f932(x45402,a923)),f319(f319(f8(f932(x45402,a923),f932(f932(x45402,a923),f932(x45402,a923)),x45401),f23(f932(x45402,a923))),x45404)),x45405)),f319(f319(f23(f932(f931(x45401,x45402),a923)),f319(f319(f246(x45401,x45402),x45403),x45404)),f319(f319(f246(x45401,x45402),x45403),x45405))) % 219.21/219.52 [4544]E(f319(f319(f33(x45441,f932(x45442,a923)),x45443),f319(f319(f7(x45441,f932(x45442,a923),f932(x45442,a923)),f319(f319(f8(f932(x45442,a923),f932(f932(x45442,a923),f932(x45442,a923)),x45441),f93(f932(x45442,a923))),x45444)),x45445)),f319(f319(f93(f932(x45442,a923)),f319(f319(f33(x45441,f932(x45442,a923)),x45443),x45444)),x45445)) % 219.21/219.52 [4545]E(f319(f319(f33(x45451,f932(x45452,a923)),x45453),f319(f319(f7(x45451,f932(x45452,a923),f932(x45452,a923)),f319(f319(f8(f932(x45452,a923),f932(f932(x45452,a923),f932(x45452,a923)),x45451),f23(f932(x45452,a923))),x45454)),x45455)),f319(f319(f23(f932(x45452,a923)),f319(f319(f33(x45451,f932(x45452,a923)),x45453),x45454)),x45455)) % 219.21/219.52 [4546]E(f319(f319(f34(x45461,f932(x45462,a923)),x45463),f319(f319(f7(x45461,f932(x45462,a923),f932(x45462,a923)),f319(f319(f8(f932(x45462,a923),f932(f932(x45462,a923),f932(x45462,a923)),x45461),f102(f932(x45462,a923))),x45464)),x45465)),f319(f319(f102(f932(x45462,a923)),f319(f319(f34(x45461,f932(x45462,a923)),x45463),x45464)),x45465)) % 219.21/219.52 [4550]E(f319(f319(f33(x45501,f932(x45502,a923)),x45503),f319(f319(f18(x45501,f932(x45502,a923),f932(x45502,a923)),f319(f319(f8(f932(x45502,a923),f932(f932(x45502,a923),f932(x45502,a923)),x45501),f102(f932(x45502,a923))),x45504)),x45505)),f319(f319(f102(f932(x45502,a923)),f319(f319(f33(x45501,f932(x45502,a923)),x45503),x45504)),f319(f319(f33(x45501,f932(x45502,a923)),x45503),x45505))) % 219.21/219.52 [4551]E(f319(f319(f34(x45511,f932(x45512,a923)),x45513),f319(f319(f18(x45511,f932(x45512,a923),f932(x45512,a923)),f319(f319(f8(f932(x45512,a923),f932(f932(x45512,a923),f932(x45512,a923)),x45511),f93(f932(x45512,a923))),x45514)),x45515)),f319(f319(f93(f932(x45512,a923)),f319(f319(f34(x45511,f932(x45512,a923)),x45513),x45514)),f319(f319(f34(x45511,f932(x45512,a923)),x45513),x45515))) % 219.21/219.52 [4564]E(f319(f319(f33(x45641,f932(x45642,a923)),x45643),f319(f319(f18(x45641,f932(x45642,a923),f932(x45642,a923)),f319(f319(f8(f932(x45642,a923),f932(f932(x45642,a923),f932(x45642,a923)),x45641),f102(f932(x45642,a923))),x45644)),x45645)),f319(f319(f102(f932(x45642,a923)),f31(f932(x45642,a923),f319(f302(x45641,f932(x45642,a923),x45644),x45643))),f31(f932(x45642,a923),f319(f302(x45641,f932(x45642,a923),x45645),x45643)))) % 219.21/219.52 [4565]E(f319(f319(f34(x45651,f932(x45652,a923)),x45653),f319(f319(f18(x45651,f932(x45652,a923),f932(x45652,a923)),f319(f319(f8(f932(x45652,a923),f932(f932(x45652,a923),f932(x45652,a923)),x45651),f93(f932(x45652,a923))),x45654)),x45655)),f319(f319(f93(f932(x45652,a923)),f32(f932(x45652,a923),f319(f302(x45651,f932(x45652,a923),x45654),x45653))),f32(f932(x45652,a923),f319(f302(x45651,f932(x45652,a923),x45655),x45653)))) % 219.21/219.52 [4601]E(f319(f319(f130(x46011),f319(f181(f926(x46011)),f169(x46011,x46012,f319(f319(f146(x46013,x46011),x46014),x46015)))),f319(f319(f146(x46013,x46011),x46014),x46015)),f319(f319(f146(x46013,x46011),x46014),f319(f319(f130(x46013),f319(f181(f926(x46013)),f169(x46013,f319(f66(x46011,a923,x46013,x46012),x46014),x46015))),x46015))) % 219.21/219.52 [4477]E(f319(f319(f126(f931(x44771,x44772)),f319(f319(f173(x44771,x44772),f319(f319(f167(x44771),f319(f181(f926(x44772)),x44773)),x44774)),x44773)),f319(f319(f173(x44771,x44772),f319(f319(f130(x44771),f319(f181(f926(x44772)),x44773)),x44774)),x44775)),f319(f319(f173(x44771,x44772),x44774),f319(f319(f126(x44772),x44773),x44775))) % 219.21/219.52 [4592]E(f79(x45921,f319(f319(f18(x45921,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45921),a317),f319(f319(f7(x45921,f932(x45921,a923),a923),f321(x45921)),x45922))),f319(f319(f7(x45921,x45923,a923),f319(f319(f8(x45923,f932(x45923,a923),x45921),a316),x45924)),x45925))),f319(f71(x45921,x45923,x45922,x45924),x45925)) % 219.21/219.52 [4593]E(f84(x45931,f319(f319(f18(x45931,a923,a923),f319(f319(f8(a923,f932(a923,a923),x45931),a317),f319(f319(f7(x45931,f932(x45931,a923),a923),f321(x45931)),x45932))),f319(f319(f7(x45931,x45933,a923),f319(f319(f8(x45933,f932(x45933,a923),x45931),a316),x45934)),x45935))),f319(f85(x45931,x45933,x45932,x45934),x45935)) % 219.21/219.52 [4641]E(f319(f319(f80(a1,x46411),f319(f95(a1),f319(f319(f74(a1),x46412),a89))),f319(f319(f18(a1,x46411,x46411),f319(f319(f7(a1,x46411,f932(x46411,x46411)),f319(f319(f8(a923,f932(x46411,f932(x46411,x46411)),a1),f86(x46411)),a185)),f177(x46411,x46413,x46414,x46415))),f319(f319(f8(a925,x46411,a1),x46414),f319(f319(f7(a1,a925,a925),f319(f319(f8(a925,f932(a925,a925),a1),f74(a925)),a96)),x46415)))),f177(x46411,x46413,x46414,f319(f319(f74(a925),f319(f95(a925),x46412)),x46415))) % 219.21/219.52 [4676]E(f319(f319(f80(a1,x46761),f319(f95(a1),f319(f319(f74(a1),x46762),a89))),f319(f319(f18(a1,x46761,x46761),f319(f319(f7(a1,x46761,f932(x46761,x46761)),f319(f319(f8(a923,f932(x46761,f932(x46761,x46761)),a1),f86(x46761)),a185)),f319(f176(x46761,x46763,x46764),x46765))),f319(f319(f18(a1,x46761,x46761),f319(f319(f8(a925,f932(x46761,x46761),a1),x46764),f319(f319(f7(a1,a925,a925),f319(f319(f8(a925,f932(a925,a925),a1),f74(a925)),a96)),x46765))),f319(f319(f8(a925,x46761,a1),f176(x46761,x46763,x46764)),f319(f319(f7(a1,a925,a925),f319(f319(f8(a925,f932(a925,a925),a1),f74(a925)),a96)),x46765))))),f319(f176(x46761,x46763,x46764),f319(f319(f74(a925),f319(f95(a925),x46762)),x46765))) % 219.21/219.52 [4709]E(f319(f254(f931(x47091,x47092)),f319(f249(x47091,x47092,a923),f319(f319(f8(f932(x47092,f932(x47093,a923)),f932(x47092,a923),x47091),f319(f8(f932(x47093,a923),a923,x47092),f81(x47093))),f319(f319(f7(x47091,f932(x47092,f932(x47093,a923)),f932(x47092,f932(x47093,a923))),f319(f319(f8(f932(f932(x47093,a923),f932(x47093,a923)),f932(f932(x47092,f932(x47093,a923)),f932(x47092,f932(x47093,a923))),x47091),f8(f932(x47093,a923),f932(x47093,a923),x47092)),f319(f319(f8(f932(x47093,f932(a923,a923)),f932(f932(x47093,a923),f932(x47093,a923)),x47091),f18(x47093,a923,a923)),f319(f319(f8(f932(x47093,a923),f932(x47093,f932(a923,a923)),x47091),f319(f8(a923,f932(a923,a923),x47093),a317)),f319(f319(f7(x47091,f932(f931(x47091,x47093),a923),f932(x47093,a923)),f319(f319(f8(f932(x47093,f932(f932(f931(x47091,x47093),a923),a923)),f932(f932(f931(x47091,x47093),a923),f932(x47093,a923)),x47091),f7(x47093,f932(f931(x47091,x47093),a923),a923)),f319(f319(f8(f932(x47093,f931(x47091,x47093)),f932(x47093,f932(f932(f931(x47091,x47093),a923),a923)),x47091),f319(f8(f931(x47091,x47093),f932(f932(f931(x47091,x47093),a923),a923),x47093),f321(f931(x47091,x47093)))),f244(x47091,x47093)))),x47094))))),f319(f319(f7(x47092,f932(f931(x47093,x47092),a923),f932(x47093,a923)),f319(f319(f8(f932(x47093,f932(f932(f931(x47093,x47092),a923),a923)),f932(f932(f931(x47093,x47092),a923),f932(x47093,a923)),x47092),f7(x47093,f932(f931(x47093,x47092),a923),a923)),f319(f319(f8(f932(x47093,f931(x47093,x47092)),f932(x47093,f932(f932(f931(x47093,x47092),a923),a923)),x47092),f319(f8(f931(x47093,x47092),f932(f932(f931(x47093,x47092),a923),a923),x47093),f321(f931(x47093,x47092)))),f319(f7(x47093,x47092,f931(x47093,x47092)),f244(x47093,x47092))))),x47095))))),f319(f319(f281(x47091,x47093,x47092),x47094),x47095)) % 219.21/219.52 [4327]E(f216(x43271,x43272,x43273,x43274,f212(x43271,x43272,x43275,x43276)),f319(f319(x43274,x43275),x43276)) % 219.21/219.52 [4328]E(f217(x43281,x43282,x43283,x43284,f212(x43281,x43282,x43285,x43286)),f319(f319(x43284,x43285),x43286)) % 219.21/219.52 [4453]E(f119(x44531,x44532,x44533,x44534,f118(x44532,x44535,x44536)),f319(f319(f319(x44534,x44535),x44536),f119(x44531,x44532,x44533,x44534,x44536))) % 219.21/219.52 [4472]E(f68(x44721,x44722,f68(x44721,x44722,x44723,x44724,x44725),x44724,x44726),f68(x44721,x44722,x44723,x44724,x44726)) % 219.21/219.52 [4580]E(f319(f66(f931(x45801,x45802),x45802,f931(x45803,x45804),f248(x45801,x45802)),f250(x45803,x45801,x45804,x45802,x45805,x45806)),f319(f66(x45804,x45802,f931(x45803,x45804),x45806),f248(x45803,x45804))) % 219.21/219.52 [4581]E(f319(f66(f931(x45811,x45812),x45811,f931(x45813,x45814),f243(x45811,x45812)),f250(x45813,x45811,x45814,x45812,x45815,x45816)),f319(f66(x45813,x45811,f931(x45813,x45814),x45815),f243(x45813,x45814))) % 219.21/219.52 [4198]E(f319(f319(f66(x41981,x41982,x41983,x41984),x41985),x41986),f319(x41984,f319(x41985,x41986))) % 219.21/219.52 [4337]E(f215(x43371,f931(x43372,f927(x43372)),x43373,f319(f249(x43372,f927(x43372),x43371),x43374),f319(f127(x43372),f118(x43372,x43375,x43376))),f319(f319(x43374,x43375),x43376)) % 219.21/219.52 [4387]E(f218(x43871,x43872,x43873,x43874,f212(x43871,x43872,x43875,x43876)),f319(f319(f74(a925),f319(f319(f74(a925),f319(x43873,x43875)),f319(x43874,x43876))),f319(a104,f2(a925)))) % 219.21/219.52 [4000]E(f319(f319(f249(x40001,x40002,x40003),x40004),f319(f319(f244(x40001,x40002),x40005),x40006)),f319(f319(x40004,x40005),x40006)) % 219.21/219.52 [4060]E(f319(f319(f319(f8(x40601,x40602,x40603),x40604),x40605),x40606),f319(x40604,f319(x40605,x40606))) % 219.21/219.52 [4061]E(f319(f319(f319(f7(x40611,x40612,x40613),x40614),x40615),x40616),f319(f319(x40614,x40616),x40615)) % 219.21/219.52 [4077]E(f319(f319(f319(f18(x40771,x40772,x40773),x40774),x40775),x40776),f319(f319(x40774,x40776),f319(x40775,x40776))) % 219.21/219.52 [4100]E(f319(f148(x41001,x41002,x41003,x41004),f319(f319(f143(x41002),x41005),x41006)),f319(f319(x41004,x41005),x41006)) % 219.21/219.52 [4136]E(f161(f931(x41361,x41362),f319(f319(f224(a925),x41363),x41364),f319(f319(f244(x41361,x41362),x41365),x41366)),f319(f319(f173(x41361,x41362),f161(x41361,x41363,x41365)),f161(x41362,x41364,x41366))) % 219.21/219.52 [4202]E(f319(f319(f143(f931(x42021,x42022)),f319(f319(f244(x42021,x42022),x42023),x42024)),f319(f319(f173(x42021,x42022),x42025),x42026)),f319(f319(f173(x42021,x42022),f319(f319(f143(x42021),x42023),x42025)),f319(f319(f143(x42022),x42024),x42026))) % 219.21/219.52 [4203]E(f319(f319(f146(x42031,x42032),x42033),f319(f319(f151(x42031,x42034),x42035),x42036)),f319(f319(f151(x42032,f319(f319(f146(x42031,x42032),x42033),x42034)),x42035),f319(x42033,x42036))) % 219.21/219.52 [4227]E(f319(f319(f247(x42271,x42272,x42273,x42274),x42275),x42276),f319(x42274,f319(f319(f244(x42271,x42272),x42275),x42276))) % 219.21/219.52 [4244]E(f319(f134(x42441,x42442,x42443,x42444),f319(f319(f143(x42442),x42445),x42446)),f319(f134(x42441,x42442,x42443,f319(f319(x42443,x42444),x42445)),x42446)) % 219.21/219.52 [4270]E(f252(x42701,x42702,x42703,x42704,f319(f319(f244(x42701,x42702),x42705),x42706)),f319(f319(x42704,x42705),x42706)) % 219.21/219.52 [4351]E(f319(f319(f33(x43511,f932(x43512,a923)),x43513),f319(f66(x43514,f932(x43512,a923),x43511,x43515),x43516)),f319(f319(f33(x43514,f932(x43512,a923)),f319(f302(x43511,x43514,x43516),x43513)),x43515)) % 219.21/219.52 [4401]E(f319(f319(f146(x44011,x44012),x44013),f319(f319(f146(x44014,x44011),x44015),x44016)),f319(f319(f146(x44014,x44012),f319(f66(x44011,x44012,x44014,x44013),x44015)),x44016)) % 219.21/219.52 [4407]E(f319(f302(x44071,x44072,f319(f66(x44073,x44072,x44071,x44074),x44075)),x44076),f319(f302(x44073,x44072,x44074),f319(f302(x44071,x44073,x44075),x44076))) % 219.21/219.52 [4408]E(f319(f303(x44081,x44082,f319(f66(x44083,x44082,x44081,x44084),x44085)),x44086),f319(f303(x44081,x44083,x44085),f319(f303(x44083,x44082,x44084),x44086))) % 219.21/219.52 [4436]E(f319(f134(x44361,x44362,x44363,f319(f134(x44361,x44362,x44363,x44364),x44365)),x44366),f319(f134(x44361,x44362,x44363,x44364),f319(f319(f126(x44362),x44365),x44366))) % 219.21/219.52 [4570]E(f319(f250(x45701,x45701,x45702,x45703,f25(x45701),x45704),f319(f319(f244(x45701,x45702),x45705),x45706)),f319(f319(f244(x45701,x45703),x45705),f319(x45704,x45706))) % 219.21/219.52 [4571]E(f319(f250(x45711,x45712,x45713,x45713,x45714,f25(x45713)),f319(f319(f244(x45711,x45713),x45715),x45716)),f319(f319(f244(x45712,x45713),f319(x45714,x45715)),x45716)) % 219.21/219.52 [4659]E(f319(f319(f146(f931(x46591,x46592),f931(x46591,x46593)),f319(f249(x46591,x46592,f931(x46591,x46593)),f319(f319(f7(x46591,f932(x46592,x46593),f932(x46592,f931(x46591,x46593))),f319(f319(f8(f932(x46593,f931(x46591,x46593)),f932(f932(x46592,x46593),f932(x46592,f931(x46591,x46593))),x46591),f8(x46593,f931(x46591,x46593),x46592)),f244(x46591,x46593))),x46594))),f319(f319(f173(x46591,x46592),x46595),x46596)),f319(f319(f173(x46591,x46593),x46595),f319(f319(f146(x46592,x46593),x46594),x46596))) % 219.21/219.52 [4254]E(f319(f319(f66(x42541,x42542,x42543,f319(f16(x42542,x42541),x42544)),x42545),x42546),x42544) % 219.21/219.52 [4286]E(f319(f302(x42861,x42862,x42863),f319(f302(x42864,x42861,x42865),x42866)),f319(f302(x42864,x42862,f319(f319(f8(x42861,x42862,x42864),x42863),x42865)),x42866)) % 219.21/219.52 [4292]E(f319(f319(f33(x42921,f932(x42922,a923)),f319(f302(x42923,x42921,x42924),x42925)),x42926),f319(f319(f33(x42923,f932(x42922,a923)),x42925),f319(f319(f8(x42921,f932(x42922,a923),x42923),x42926),x42924))) % 219.21/219.52 [4293]E(f319(f319(f34(x42931,f932(x42932,a923)),f319(f302(x42933,x42931,x42934),x42935)),x42936),f319(f319(f34(x42933,f932(x42932,a923)),x42935),f319(f319(f8(x42931,f932(x42932,a923),x42933),x42936),x42934))) % 219.21/219.52 [4294]E(f319(f319(f33(x42941,f932(x42942,a923)),x42943),f319(f319(f8(x42944,f932(x42942,a923),x42941),x42945),x42946)),f319(f319(f33(x42944,f932(x42942,a923)),f319(f302(x42941,x42944,x42946),x42943)),x42945)) % 219.21/219.52 [4295]E(f319(f319(f34(x42951,f932(x42952,a923)),x42953),f319(f319(f8(x42954,f932(x42952,a923),x42951),x42955),x42956)),f319(f319(f34(x42954,f932(x42952,a923)),f319(f302(x42951,x42954,x42956),x42953)),x42955)) % 219.21/219.52 [4353]E(f319(f319(f33(x43531,f932(x43532,a923)),x43533),f319(f319(f8(f932(x43534,a923),f932(x43532,a923),x43531),f302(x43534,x43532,x43535)),x43536)),f319(f302(x43534,x43532,x43535),f319(f319(f33(x43531,f932(x43534,a923)),x43533),x43536))) % 219.21/219.52 [4354]E(f319(f319(f33(x43541,f932(x43542,a923)),x43543),f319(f319(f8(f932(x43544,a923),f932(x43542,a923),x43541),f303(x43542,x43544,x43545)),x43546)),f319(f303(x43542,x43544,x43545),f319(f319(f33(x43541,f932(x43544,a923)),x43543),x43546))) % 219.21/219.52 [4355]E(f319(f319(f34(x43551,f932(x43552,a923)),x43553),f319(f319(f8(f932(x43554,a923),f932(x43552,a923),x43551),f303(x43552,x43554,x43555)),x43556)),f319(f303(x43552,x43554,x43555),f319(f319(f34(x43551,f932(x43554,a923)),x43553),x43556))) % 219.21/219.52 [4356]E(f319(f319(f33(x43561,f932(x43562,a923)),x43563),f319(f319(f8(f932(x43564,a923),f932(x43562,a923),x43561),f277(x43564,x43562,x43565)),x43566)),f319(f277(x43564,x43562,x43565),f319(f319(f33(x43561,f932(x43564,a923)),x43563),x43566))) % 219.21/219.52 [4441]E(f319(f134(x44411,x44412,f319(f7(x44412,x44411,x44411),x44413),x44414),f319(f160(x44412),f319(f319(f143(x44412),x44415),x44416))),f319(f319(x44413,x44415),f319(f134(x44411,x44412,f319(f7(x44412,x44411,x44411),x44413),x44414),f319(f160(x44412),x44416)))) % 219.21/219.52 [4499]E(f319(f319(f18(f931(x44991,x44992),x44992,x44993),f319(f319(f8(x44994,f932(x44992,x44993),f931(x44991,x44992)),x44995),f319(f319(f8(x44991,x44994,f931(x44991,x44992)),x44996),f243(x44991,x44992)))),f248(x44991,x44992)),f319(f249(x44991,x44992,x44993),f319(f319(f8(x44994,f932(x44992,x44993),x44991),x44995),x44996))) % 219.21/219.52 [4506]E(f319(f134(x45061,x45062,f319(f7(x45062,x45061,x45061),x45063),f319(f134(x45061,x45062,f319(f7(x45062,x45061,x45061),x45063),x45064),f319(f160(x45062),x45065))),f319(f160(x45062),x45066)),f319(f134(x45061,x45062,f319(f7(x45062,x45061,x45061),x45063),x45064),f319(f160(x45062),f319(f319(f126(x45062),x45066),x45065)))) % 219.21/219.52 [4508]E(f319(f319(f146(f931(x45081,x45082),f931(x45083,x45082)),f319(f249(x45081,x45082,f931(x45083,x45082)),f319(f319(f8(x45083,f932(x45082,f931(x45083,x45082)),x45081),f244(x45083,x45082)),x45084))),f319(f319(f173(x45081,x45082),x45085),x45086)),f319(f319(f173(x45083,x45082),f319(f319(f146(x45081,x45083),x45084),x45085)),x45086)) % 219.21/219.52 [4553]P1(f319(f319(f226(f932(x45531,a923)),f319(f277(x45532,x45531,x45533),f319(f319(f34(x45534,f932(x45532,a923)),x45535),x45536))),f319(f319(f34(x45534,f932(x45531,a923)),x45535),f319(f319(f8(f932(x45532,a923),f932(x45531,a923),x45534),f277(x45532,x45531,x45533)),x45536)))) % 219.21/219.52 [4366]E(f319(f319(f173(x43661,x43662),f319(f319(f151(x43661,x43663),x43664),f319(f243(x43661,x43662),x43665))),f319(f319(f151(x43662,x43666),x43664),f319(f248(x43661,x43662),x43665))),f319(f319(f151(f931(x43661,x43662),f319(f319(f173(x43661,x43662),x43663),x43666)),x43664),x43665)) % 219.21/219.52 [4424]E(f319(f319(f102(f932(f931(x44241,x44242),a923)),f319(f319(f281(x44241,x44243,x44242),x44244),x44245)),f319(f319(f281(x44241,x44243,x44242),x44244),x44246)),f319(f319(f281(x44241,x44243,x44242),x44244),f319(f319(f102(f932(f931(x44243,x44242),a923)),x44245),x44246))) % 219.21/219.52 [4518]E(f319(f319(f301(f931(x45181,x45182)),f319(f319(f244(x45181,x45182),x45183),x45184)),f319(f319(f102(f932(f931(x45181,x45182),a923)),f319(f319(f246(x45181,x45182),x45185),f319(f16(f932(x45182,a923),x45181),f319(f319(f301(x45182),x45184),x45186)))),f319(f319(f246(x45181,x45182),f319(f319(f301(x45181),x45183),x45185)),f319(f16(f932(x45182,a923),x45181),x45186)))),f319(f319(f246(x45181,x45182),f319(f319(f301(x45181),x45183),x45185)),f319(f16(f932(x45182,a923),x45181),f319(f319(f301(x45182),x45184),x45186)))) % 219.21/219.52 [4597]E(f319(f319(f93(f932(x45971,a923)),f319(f303(x45971,x45972,f319(f66(f931(x45972,x45973),x45972,x45971,f243(x45972,x45973)),x45974)),x45975)),f319(f303(x45971,x45973,f319(f66(f931(x45972,x45973),x45973,x45971,f248(x45972,x45973)),x45974)),x45976)),f319(f303(x45971,f931(x45972,x45973),x45974),f319(f319(f246(x45972,x45973),x45975),f319(f16(f932(x45973,a923),x45972),x45976)))) % 219.21/219.52 [4447]E(f319(f319(f102(f932(f931(x44471,x44472),a923)),f319(f319(f281(x44471,x44473,x44472),x44474),x44475)),f319(f319(f281(x44471,x44473,x44472),x44476),x44475)),f319(f319(f281(x44471,x44473,x44472),f319(f319(f102(f932(f931(x44471,x44473),a923)),x44474),x44476)),x44475)) % 219.21/219.52 [4578]E(f319(f319(f33(x45781,f932(x45782,a923)),x45783),f319(f319(f7(x45781,f932(x45784,f932(x45782,a923)),f932(x45782,a923)),f319(f319(f8(f932(x45784,a923),f932(f932(x45784,f932(x45782,a923)),f932(x45782,a923)),x45781),f33(x45784,f932(x45782,a923))),x45785)),x45786)),f319(f319(f33(x45784,f932(x45782,a923)),f319(f319(f33(x45781,f932(x45784,a923)),x45783),x45785)),x45786)) % 219.21/219.52 [4579]E(f319(f319(f34(x45791,f932(x45792,a923)),x45793),f319(f319(f7(x45791,f932(x45794,f932(x45792,a923)),f932(x45792,a923)),f319(f319(f8(f932(x45794,a923),f932(f932(x45794,f932(x45792,a923)),f932(x45792,a923)),x45791),f34(x45794,f932(x45792,a923))),x45795)),x45796)),f319(f319(f34(x45794,f932(x45792,a923)),f319(f319(f33(x45791,f932(x45794,a923)),x45793),x45795)),x45796)) % 219.21/219.52 [4631]E(f319(f249(x46311,x46312,f931(x46313,x46314)),f319(f319(f7(x46311,f932(x46312,x46314),f932(x46312,f931(x46313,x46314))),f319(f319(f8(f932(x46314,f931(x46313,x46314)),f932(f932(x46312,x46314),f932(x46312,f931(x46313,x46314))),x46311),f8(x46314,f931(x46313,x46314),x46312)),f319(f319(f8(x46313,f932(x46314,f931(x46313,x46314)),x46311),f244(x46313,x46314)),x46315))),x46316)),f250(x46311,x46313,x46312,x46314,x46315,x46316)) % 219.21/219.52 [4654]E(f319(f302(x46541,x46542,f319(f319(f18(x46541,x46542,x46542),f319(f319(f18(x46541,x46542,f932(x46542,x46542)),f319(f319(f8(a923,f932(x46542,f932(x46542,x46542)),x46541),f86(x46542)),x46543)),x46544)),x46545)),x46546),f319(f319(f102(f932(x46542,a923)),f319(f302(x46541,x46542,x46544),f319(f319(f93(f932(x46541,a923)),x46546),f319(f254(x46541),x46543)))),f319(f302(x46541,x46542,x46545),f319(f319(f93(f932(x46541,a923)),x46546),f319(f254(x46541),f319(f319(f8(a923,a923,x46541),a314),x46543)))))) % 219.21/219.52 [4666]E(f319(f302(x46661,f931(x46662,x46663),f319(f319(f18(x46661,x46663,f931(x46662,x46663)),f319(f319(f8(x46662,f932(x46663,f931(x46662,x46663)),x46661),f244(x46662,x46663)),x46664)),x46665)),x46666),f319(f319(f246(x46662,x46663),f319(f302(x46661,x46662,x46664),x46666)),f319(f319(f8(f932(x46661,a923),f932(x46663,a923),x46662),f302(x46661,x46663,x46665)),f319(f319(f7(x46662,f932(x46661,a923),f932(x46661,a923)),f319(f319(f8(f932(x46661,a923),f932(f932(x46661,a923),f932(x46661,a923)),x46662),f93(f932(x46661,a923))),f319(f319(f8(f932(x46662,a923),f932(x46661,a923),x46662),f303(x46661,x46662,x46664)),f319(f319(f7(x46662,f932(x46662,a923),f932(x46662,a923)),f301(x46662)),f180(f932(x46662,a923)))))),x46666)))) % 219.21/219.52 [4691]E(f238(x46911,x46912,x46913,x46914,x46915,x46916),f319(x46914,f319(f254(x46911),f319(f319(f8(f932(f932(x46913,x46911),a923),a923,x46911),f81(f932(x46913,x46911))),f319(f319(f8(f932(f932(x46913,x46911),a923),f932(f932(x46913,x46911),a923),x46911),f319(f18(f932(x46913,x46911),a923,a923),f319(f319(f8(a923,f932(a923,a923),f932(x46913,x46911)),a317),f319(f319(f7(f932(x46913,x46911),f932(f932(x46913,x46911),a923),a923),f321(f932(x46913,x46911))),x46915)))),f319(f319(f7(x46911,f932(f932(x46913,x46911),x46911),f932(f932(x46913,x46911),a923)),f319(f319(f8(f932(x46911,a923),f932(f932(f932(x46913,x46911),x46911),f932(f932(x46913,x46911),a923)),x46911),f8(x46911,a923,f932(x46913,x46911))),a316)),f319(f319(f7(f932(x46913,x46911),x46913,x46911),f5(f932(x46913,x46911))),x46916))))))) % 219.21/219.52 [4480]E(f319(f66(x44801,x44802,x44803,x44804),f68(x44803,x44801,x44805,x44806,x44807)),f68(x44803,x44802,f319(f66(x44801,x44802,x44803,x44804),x44805),x44806,f319(x44804,x44807))) % 219.21/219.52 [4614]E(f319(f248(x46141,x46142),f319(f250(x46143,x46141,x46144,x46142,x46145,x46146),x46147)),f319(x46146,f319(f248(x46143,x46144),x46147))) % 219.21/219.52 [4615]E(f319(f243(x46151,x46152),f319(f250(x46153,x46151,x46154,x46152,x46155,x46156),x46157)),f319(x46155,f319(f243(x46153,x46154),x46157))) % 219.21/219.52 [4329]E(f319(f319(f173(x43291,x43292),f319(f319(f151(x43291,x43293),x43294),x43295)),f319(f319(f151(x43292,x43296),x43294),x43297)),f319(f319(f151(f931(x43291,x43292),f319(f319(f173(x43291,x43292),x43293),x43296)),x43294),f319(f319(f244(x43291,x43292),x43295),x43297))) % 219.21/219.52 [4396]E(f319(f319(f319(f251(x43961,x43962,x43963,x43964),x43965),x43966),x43967),f319(f319(f249(x43962,x43963,x43964),x43966),f319(x43965,x43967))) % 219.21/219.52 [4406]E(f319(f319(f319(f251(x44061,x44062,x44063,x44064),x44065),x44066),x44067),f319(f319(x44066,f319(f243(x44062,x44063),f319(x44065,x44067))),f319(f248(x44062,x44063),f319(x44065,x44067)))) % 219.21/219.52 [4458]E(f319(f66(x44581,x44582,x44583,x44584),f319(f66(x44585,x44581,x44583,x44586),x44587)),f319(f66(x44585,x44582,x44583,f319(f66(x44581,x44582,x44585,x44584),x44586)),x44587)) % 219.21/219.52 [4635]E(f319(f250(x46351,x46352,x46353,x46353,x46354,f25(x46353)),f319(f250(x46351,x46351,x46355,x46353,f25(x46351),x46356),x46357)),f319(f319(f244(x46352,x46353),f319(x46354,f319(f243(x46351,x46355),x46357))),f319(x46356,f319(f248(x46351,x46355),x46357)))) % 219.21/219.52 [4636]E(f319(f250(x46361,x46361,x46362,x46363,f25(x46361),x46364),f319(f250(x46365,x46361,x46362,x46362,x46366,f25(x46362)),x46367)),f319(f319(f244(x46361,x46363),f319(x46366,f319(f243(x46365,x46362),x46367))),f319(x46364,f319(f248(x46365,x46362),x46367)))) % 219.21/219.52 [4652]E(f319(f250(x46521,x46522,x46523,x46523,x46524,f25(x46523)),f319(f250(x46525,x46521,x46523,x46523,x46526,f25(x46523)),x46527)),f319(f250(x46525,x46522,x46523,x46523,f319(f66(x46521,x46522,x46525,x46524),x46526),f25(x46523)),x46527)) % 219.21/219.52 [4653]E(f319(f250(x46531,x46531,x46532,x46533,f25(x46531),x46534),f319(f250(x46531,x46531,x46535,x46532,f25(x46531),x46536),x46537)),f319(f250(x46531,x46531,x46535,x46533,f25(x46531),f319(f66(x46532,x46533,x46535,x46534),x46536)),x46537)) % 219.21/219.52 [4663]E(f319(f250(x46631,x46632,x46633,x46633,x46634,f25(x46633)),f319(f250(x46631,x46631,x46635,x46633,f25(x46631),x46636),x46637)),f319(f250(x46632,x46632,x46635,x46633,f25(x46632),x46636),f319(f250(x46631,x46632,x46635,x46635,x46634,f25(x46635)),x46637))) % 219.21/219.52 [4363]E(f319(f319(f281(x43631,x43632,x43633),f319(f319(f281(x43631,x43634,x43632),x43635),x43636)),x43637),f319(f319(f281(x43631,x43634,x43633),x43635),f319(f319(f281(x43634,x43632,x43633),x43636),x43637))) % 219.21/219.52 [4430]E(f319(f319(f249(x44301,x44302,x44303),f319(f66(x44304,f932(x44302,x44303),x44301,x44305),x44306)),x44307),f319(f319(x44305,f319(x44306,f319(f243(x44301,x44302),x44307))),f319(f248(x44301,x44302),x44307))) % 219.21/219.52 [4511]E(f319(f134(x45111,x45112,f319(f7(x45112,x45111,x45111),x45113),x45114),f319(f160(x45112),f319(f319(f146(x45115,x45112),x45116),x45117))),f319(f134(x45111,x45115,f319(f7(x45115,x45111,x45111),f319(f66(x45112,f932(x45111,x45111),x45115,x45113),x45116)),x45114),f319(f160(x45115),x45117))) % 219.21/219.52 [4459]E(f319(f319(f33(x44591,f932(f931(x44592,x44593),a923)),x44594),f319(f319(f8(f932(f931(x44595,x44593),a923),f932(f931(x44592,x44593),a923),x44591),f319(f281(x44592,x44595,x44593),x44596)),x44597)),f319(f319(f281(x44592,x44595,x44593),x44596),f319(f319(f33(x44591,f932(f931(x44595,x44593),a923)),x44594),x44597))) % 219.21/219.52 [4602]E(f319(f319(f33(x46021,f932(f931(x46022,x46023),a923)),x46024),f319(f319(f7(x46021,f932(f931(x46025,x46023),a923),f932(f931(x46022,x46023),a923)),f319(f319(f8(f932(f931(x46022,x46025),a923),f932(f932(f931(x46025,x46023),a923),f932(f931(x46022,x46023),a923)),x46021),f281(x46022,x46025,x46023)),x46026)),x46027)),f319(f319(f281(x46022,x46025,x46023),f319(f319(f33(x46021,f932(f931(x46022,x46025),a923)),x46024),x46026)),x46027)) % 219.21/219.52 [4603]E(f319(f134(x46031,x46032,f319(f319(f7(x46031,f932(x46032,x46033),f932(x46032,x46031)),f319(f319(f8(f932(x46033,x46031),f932(f932(x46032,x46033),f932(x46032,x46031)),x46031),f8(x46033,x46031,x46032)),x46034)),x46035),x46036),x46037),f319(f134(x46031,x46033,x46034,x46036),f319(f319(f146(x46032,x46033),x46035),x46037))) % 219.21/219.52 [4664]E(f319(f319(f34(x46641,f932(x46642,a923)),x46643),f319(f319(f8(f932(x46644,f932(x46642,a923)),f932(x46642,a923),x46641),f319(f34(x46644,f932(x46642,a923)),x46645)),f319(f319(f7(x46641,f932(x46644,f932(x46642,a923)),f932(x46644,f932(x46642,a923))),f319(f319(f8(f932(f932(x46642,a923),f932(x46642,a923)),f932(f932(x46644,f932(x46642,a923)),f932(x46644,f932(x46642,a923))),x46641),f8(f932(x46642,a923),f932(x46642,a923),x46644)),f319(f319(f8(f932(x46642,a923),f932(f932(x46642,a923),f932(x46642,a923)),x46641),f102(f932(x46642,a923))),x46646))),x46647))),f319(f319(f102(f932(x46642,a923)),f319(f319(f34(x46641,f932(x46642,a923)),x46643),x46646)),f319(f319(f34(x46644,f932(x46642,a923)),x46645),x46647))) % 219.21/219.52 [4665]E(f319(f319(f33(x46651,f932(x46652,a923)),x46653),f319(f319(f8(f932(x46654,f932(x46652,a923)),f932(x46652,a923),x46651),f319(f33(x46654,f932(x46652,a923)),x46655)),f319(f319(f7(x46651,f932(x46654,f932(x46652,a923)),f932(x46654,f932(x46652,a923))),f319(f319(f8(f932(f932(x46652,a923),f932(x46652,a923)),f932(f932(x46654,f932(x46652,a923)),f932(x46654,f932(x46652,a923))),x46651),f8(f932(x46652,a923),f932(x46652,a923),x46654)),f319(f319(f8(f932(x46652,a923),f932(f932(x46652,a923),f932(x46652,a923)),x46651),f93(f932(x46652,a923))),x46656))),x46657))),f319(f319(f93(f932(x46652,a923)),f319(f319(f33(x46651,f932(x46652,a923)),x46653),x46656)),f319(f319(f33(x46654,f932(x46652,a923)),x46655),x46657))) % 219.21/219.52 [4657]E(f189(x46571,x46572,f319(f319(f319(x46573,x46574),x46575),x46576),f319(f319(f7(x46571,f931(a91,a91),f932(a91,f927(x46572))),f319(f319(f7(x46571,a91,f932(f931(a91,a91),f932(a91,f927(x46572)))),f319(f319(f7(x46571,a91,f932(a91,f932(f931(a91,a91),f932(a91,f927(x46572))))),x46577),x46574)),x46575)),x46576)),f319(f319(f319(f201(x46571,x46572,x46573,x46577),x46574),x46575),x46576)) % 219.21/219.52 [4671]E(f190(x46711,x46712,f319(f319(f319(x46713,x46714),x46715),x46716),f319(f319(f7(x46711,f931(a91,a91),f932(a91,f927(x46712))),f319(f319(f7(x46711,a91,f932(f931(a91,a91),f932(a91,f927(x46712)))),f319(f319(f7(x46711,a91,f932(a91,f932(f931(a91,a91),f932(a91,f927(x46712))))),x46717),x46714)),x46715)),x46716)),f203(x46711,x46712,x46713,x46717,x46714,x46715,x46716)) % 219.21/219.52 [4662]E(f187(x46621,x46622,f319(f319(f319(x46623,x46624),x46625),x46626),f319(f319(f7(x46621,f931(a91,a91),f932(a91,f927(f929(x46622)))),f319(f319(f7(x46621,a91,f932(f931(a91,a91),f932(a91,f927(f929(x46622))))),f319(f319(f7(x46621,a91,f932(a91,f932(f931(a91,a91),f932(a91,f927(f929(x46622)))))),x46627),x46624)),x46625)),x46626)),f319(f319(f319(f197(x46621,x46622,x46623,x46627),x46624),x46625),x46626)) % 219.21/219.52 [4673]E(f188(x46731,x46732,f319(f319(f319(x46733,x46734),x46735),x46736),f319(f319(f7(x46731,f931(a91,a91),f932(a91,f927(f929(x46732)))),f319(f319(f7(x46731,a91,f932(f931(a91,a91),f932(a91,f927(f929(x46732))))),f319(f319(f7(x46731,a91,f932(a91,f932(f931(a91,a91),f932(a91,f927(f929(x46732)))))),x46737),x46734)),x46735)),x46736)),f199(x46731,x46732,x46733,x46737,x46734,x46735,x46736)) % 219.21/219.52 [4572]E(f319(f250(x45721,x45722,x45723,x45724,x45725,x45726),f319(f319(f244(x45721,x45723),x45727),x45728)),f319(f319(f244(x45722,x45724),f319(x45725,x45727)),f319(x45726,x45728))) % 219.21/219.52 [4675]E(f319(f319(f146(f931(x46751,x46752),f931(x46753,x46754)),f319(f249(x46751,x46752,f931(x46753,x46754)),f319(f319(f7(x46751,f932(x46752,x46754),f932(x46752,f931(x46753,x46754))),f319(f319(f8(f932(x46754,f931(x46753,x46754)),f932(f932(x46752,x46754),f932(x46752,f931(x46753,x46754))),x46751),f8(x46754,f931(x46753,x46754),x46752)),f319(f319(f8(x46753,f932(x46754,f931(x46753,x46754)),x46751),f244(x46753,x46754)),x46755))),x46756))),f319(f319(f173(x46751,x46752),x46757),x46758)),f319(f319(f173(x46753,x46754),f319(f319(f146(x46751,x46753),x46755),x46757)),f319(f319(f146(x46752,x46754),x46756),x46758))) % 219.21/219.52 [4678]E(f319(f319(f146(f931(x46781,x46782),x46783),f319(f249(x46781,x46782,x46783),f319(f319(f8(f932(x46782,f931(x46781,x46784)),f932(x46782,x46783),x46781),f319(f8(f931(x46781,x46784),x46783,x46782),x46785)),f319(f319(f7(x46781,f932(x46782,x46784),f932(x46782,f931(x46781,x46784))),f319(f319(f8(f932(x46784,f931(x46781,x46784)),f932(f932(x46782,x46784),f932(x46782,f931(x46781,x46784))),x46781),f8(x46784,f931(x46781,x46784),x46782)),f244(x46781,x46784))),x46786)))),f319(f319(f173(x46781,x46782),x46787),x46788)),f319(f319(f146(f931(x46781,x46784),x46783),x46785),f319(f319(f173(x46781,x46784),x46787),f319(f319(f146(x46782,x46784),x46786),x46788)))) % 219.21/219.52 [4606]E(f319(f319(f146(f931(x46061,x46062),x46063),f319(f249(x46061,x46062,x46063),f319(f319(f8(f932(x46062,f931(x46064,x46062)),f932(x46062,x46063),x46061),f319(f8(f931(x46064,x46062),x46063,x46062),x46065)),f319(f319(f8(x46064,f932(x46062,f931(x46064,x46062)),x46061),f244(x46064,x46062)),x46066)))),f319(f319(f173(x46061,x46062),x46067),x46068)),f319(f319(f146(f931(x46064,x46062),x46063),x46065),f319(f319(f173(x46064,x46062),f319(f319(f146(x46061,x46064),x46066),x46067)),x46068))) % 219.21/219.52 [4563]E(f319(f319(f249(x45631,x45632,x45633),f319(f319(f8(f932(x45632,f931(x45634,x45635)),f932(x45632,x45633),x45631),f319(f8(f931(x45634,x45635),x45633,x45632),f319(f249(x45634,x45635,x45633),x45636))),x45637)),x45638),f319(f319(f249(x45634,x45635,x45633),x45636),f319(f319(f249(x45631,x45632,f931(x45634,x45635)),x45637),x45638))) % 219.21/219.52 [4679]E(f319(f319(f33(f931(x46791,x46792),f932(f931(x46793,x46794),a923)),f319(f319(f246(x46791,x46792),x46795),f319(f16(f932(x46792,a923),x46791),x46796))),f319(f249(x46791,x46792,f932(f931(x46793,x46794),a923)),f319(f319(f7(x46791,f932(x46792,f932(x46793,f932(x46794,a923))),f932(x46792,f932(f931(x46793,x46794),a923))),f319(f319(f8(f932(f932(x46793,f932(x46794,a923)),f932(f931(x46793,x46794),a923)),f932(f932(x46792,f932(x46793,f932(x46794,a923))),f932(x46792,f932(f931(x46793,x46794),a923))),x46791),f8(f932(x46793,f932(x46794,a923)),f932(f931(x46793,x46794),a923),x46792)),f319(f319(f8(f932(x46793,a923),f932(f932(x46793,f932(x46794,a923)),f932(f931(x46793,x46794),a923)),x46791),f246(x46793,x46794)),x46797))),f319(f319(f8(f932(x46794,a923),f932(x46793,f932(x46794,a923)),x46792),f16(f932(x46794,a923),x46793)),x46798)))),f319(f319(f246(x46793,x46794),f319(f319(f33(x46791,f932(x46793,a923)),x46795),x46797)),f319(f16(f932(x46794,a923),x46793),f319(f319(f33(x46792,f932(x46794,a923)),x46796),x46798)))) % 219.21/219.52 [4620]E(f319(f319(f251(x46201,x46202,x46203,x46204),f319(f319(f251(x46201,x46205,x46206,f931(x46202,x46203)),x46207),x46208)),x46209),f319(f319(f251(x46201,x46205,x46206,x46204),x46207),f319(f319(f7(x46205,f932(x46202,f932(x46203,x46204)),f932(x46206,x46204)),f319(f319(f8(f932(x46206,f931(x46202,x46203)),f932(f932(x46202,f932(x46203,x46204)),f932(x46206,x46204)),x46205),f251(x46206,x46202,x46203,x46204)),x46208)),x46209))) % 219.21/219.52 [4649]E(f319(f66(f931(x46491,x46492),f931(x46493,x46494),f931(x46495,x46496),f250(x46491,x46493,x46492,x46494,x46497,x46498)),f250(x46495,x46491,x46496,x46492,x46499,x464910)),f250(x46495,x46493,x46496,x46494,f319(f66(x46491,x46493,x46495,x46497),x46499),f319(f66(x46492,x46494,x46496,x46498),x464910))) % 219.21/219.52 [4655]E(f319(f250(x46551,x46552,x46553,x46554,x46555,x46556),f319(f250(x46557,x46551,x46558,x46553,x46559,x465510),x465511)),f319(f250(x46557,x46552,x46558,x46554,f319(f66(x46551,x46552,x46557,x46555),x46559),f319(f66(x46553,x46554,x46558,x46556),x465510)),x465511)) % 219.21/219.52 [4782]~P5(x47821)+P5(f929(x47821)) % 219.21/219.52 [4783]~P71(x47831)+P71(f929(x47831)) % 219.21/219.52 [4784]~P111(x47841)+P111(f926(x47841)) % 219.21/219.52 [4787]~P150(x47871)+~E(f72(x47871),f2(x47871)) % 219.21/219.52 [4789]~E(x47891,f2(a91))+E(f319(a22,x47891),f2(a1)) % 219.21/219.52 [4790]~E(x47901,f2(a1))+E(f76(a1,x47901),f2(a1)) % 219.21/219.52 [4796]~P149(x47961)+P29(x47961,f2(x47961)) % 219.21/219.52 [4798]~P4(x47981)+P14(x47981,f105(x47981)) % 219.21/219.52 [4807]P1(x48071)+P1(f319(a314,x48071)) % 219.21/219.52 [4861]~P149(x48611)+~P29(x48611,f72(x48611)) % 219.21/219.52 [4898]~P1(x48981)+~P1(f319(a314,x48981)) % 219.21/219.52 [4919]E(f319(a96,x49191),f2(a925))+~P1(f319(a185,x49191)) % 219.21/219.52 [4985]~P107(x49851)+P15(x49851,x49851,f102(x49851)) % 219.21/219.52 [4986]~P108(x49861)+P15(x49861,x49861,f93(x49861)) % 219.21/219.52 [4987]~P101(x49871)+P15(x49871,x49871,f75(x49871)) % 219.21/219.52 [4988]~P4(x49881)+P15(x49881,x49881,f224(x49881)) % 219.21/219.52 [4989]~P4(x49891)+P15(x49891,x49891,f225(x49891)) % 219.21/219.52 [4990]~P76(x49901)+P17(x49901,x49901,f75(x49901)) % 219.21/219.52 [4793]~E(x47931,f2(a925))+E(f319(f92(a1),x47931),f2(a1)) % 219.21/219.52 [4800]~P99(x48001)+E(f319(f95(x48001),a77),f2(x48001)) % 219.21/219.52 [4803]~E(f596(x48031),f2(a925))+E(f319(f157(a925),x48031),f2(a925)) % 219.21/219.52 [4804]~P3(x48041)+E(f228(x48041,f226(x48041)),f224(x48041)) % 219.21/219.52 [4805]~P3(x48051)+E(f229(x48051,f226(x48051)),f225(x48051)) % 219.21/219.52 [4806]~P94(x48061)+E(f76(x48061,f2(x48061)),f2(x48061)) % 219.21/219.52 [4815]~P149(x48151)+E(f319(f92(x48151),f72(a925)),f72(x48151)) % 219.21/219.52 [4816]~P149(x48161)+E(f319(f92(x48161),f2(a925)),f2(x48161)) % 219.21/219.52 [4817]~P145(x48171)+E(f319(f94(x48171),f72(a1)),f72(x48171)) % 219.21/219.52 [4818]~P145(x48181)+E(f319(f94(x48181),f2(a1)),f2(x48181)) % 219.21/219.52 [4819]E(x48191,f2(a925))+~E(f319(f92(a1),x48191),f2(a1)) % 219.21/219.52 [4855]~P96(x48551)+E(f319(f73(x48551),f234(x48551)),f180(x48551)) % 219.21/219.52 [4856]~P96(x48561)+E(f319(f73(x48561),f180(x48561)),f234(x48561)) % 219.21/219.52 [4857]~P69(x48571)+E(f319(f73(x48571),f2(x48571)),f2(x48571)) % 219.21/219.52 [4858]~P126(x48581)+E(f319(f69(x48581),f72(x48581)),f72(x48581)) % 219.21/219.52 [4859]~P92(x48591)+E(f319(f69(x48591),f2(x48591)),f2(x48591)) % 219.21/219.52 [4860]~P88(x48601)+E(f319(f157(x48601),f105(x48601)),f2(x48601)) % 219.21/219.52 [4878]~P37(x48781)+P42(f319(f164(a1),x48781)) % 219.21/219.52 [4903]~P99(x49031)+E(f319(f73(x49031),f72(x49031)),f319(f95(x49031),a89)) % 219.21/219.52 [4918]~P99(x49181)+P29(x49181,f319(f95(x49181),a77)) % 219.21/219.52 [4944]P37(x49441)+~P42(f319(f164(a1),x49441)) % 219.21/219.52 [4991]E(f319(f92(a1),f319(a96,x49911)),x49911)+P1(f319(a185,x49911)) % 219.21/219.52 [5061]~P119(x50611)+E(f237(x50611,f72(x50611),f75(x50611)),f236(x50611)) % 219.21/219.52 [5094]~P99(x50941)+~P29(x50941,f319(f95(x50941),a89)) % 219.21/219.52 [5242]E(f319(f69(a1),x52421),x52421)+P1(f319(f319(f227(a1),x52421),f2(a1))) % 219.21/219.52 [5260]~E(f319(a96,x52601),f2(a925))+P1(f319(f319(f226(a1),x52601),f2(a1))) % 219.21/219.52 [5329]~P1(f319(a185,x53291))+P1(f319(f319(f227(a1),x53291),f2(a1))) % 219.21/219.52 [5372]~P129(x53721)+P1(f319(f319(f226(x53721),f2(x53721)),f72(x53721))) % 219.21/219.52 [5373]~P145(x53731)+P1(f319(f319(f321(x53731),f72(x53731)),f101(x53731))) % 219.21/219.52 [5374]~P149(x53741)+P1(f319(f319(f321(x53741),f72(x53741)),f178(x53741))) % 219.21/219.52 [5375]~P145(x53751)+P1(f319(f319(f321(x53751),f2(x53751)),f101(x53751))) % 219.21/219.52 [5376]~P149(x53761)+P1(f319(f319(f321(x53761),f2(x53761)),f178(x53761))) % 219.21/219.52 [5377]~P129(x53771)+P1(f319(f319(f227(x53771),f2(x53771)),f72(x53771))) % 219.21/219.52 [5430]E(x54301,f2(a925))+~P1(f319(f319(f226(a925),x54301),f2(a925))) % 219.21/219.52 [5472]E(f319(a96,x54721),f2(a925))+~P1(f319(f319(f226(a1),x54721),f2(a1))) % 219.21/219.52 [5527]P1(f319(a185,x55271))+~P1(f319(f319(f227(a1),x55271),f2(a1))) % 219.21/219.52 [5534]~P4(x55341)+P17(x55341,f926(x55341),f140(x55341,x55341,f5(x55341))) % 219.21/219.52 [5552]P42(x55521)+~P1(f319(f319(f226(a1),f2(a1)),f327(x55521))) % 219.21/219.52 [5557]E(f319(f69(a1),x55571),f319(f73(a1),x55571))+~P1(f319(f319(f227(a1),x55571),f2(a1))) % 219.21/219.52 [5728]~P129(x57281)+~P1(f319(f319(f226(x57281),f72(x57281)),f2(x57281))) % 219.21/219.52 [5729]~P129(x57291)+~P1(f319(f319(f227(x57291),f72(x57291)),f2(x57291))) % 219.21/219.52 [5743]~E(x57431,f2(a925))+P1(f319(f319(f226(a1),f319(f92(a1),x57431)),f2(a1))) % 219.21/219.52 [5744]~E(x57441,f2(a1))+P1(f319(f319(f227(a1),f319(f69(a1),x57441)),f72(a1))) % 219.21/219.52 [5866]~P88(x58661)+E(f134(x58661,x58661,f74(x58661),f2(x58661)),f157(x58661)) % 219.21/219.52 [6041]~P110(x60411)+P26(a925,x60411,f92(x60411),f234(f932(a925,a923))) % 219.21/219.52 [6249]E(x62491,f2(a925))+~P1(f319(f319(f226(a1),f319(f92(a1),x62491)),f2(a1))) % 219.21/219.52 [6250]E(x62501,f2(a1))+~P1(f319(f319(f227(a1),f319(f69(a1),x62501)),f72(a1))) % 219.21/219.52 [7054]~P1(f319(f319(f227(a1),x70541),f2(a1)))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x70541),x70541)),f2(a1))) % 219.21/219.52 [7610]P1(f319(f319(f227(a1),x76101),f2(a1)))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),x76101),x76101)),f2(a1))) % 219.21/219.52 [8157]E(x81571,f319(a3,f2(a925)))+P1(f319(f319(f227(a925),f319(f319(f23(a925),f319(a20,x81571)),f319(a104,f2(a925)))),f319(a20,x81571))) % 219.21/219.52 [8932]~P1(f319(f319(f227(a1),x89321),f2(a1)))+P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x89321),x89321)),a89)),f2(a1))) % 219.21/219.52 [9030]~P1(f319(f319(f227(a1),x90301),f2(a1)))+P1(f319(f319(f227(a1),f319(f319(f74(a1),f319(f319(f74(a1),f72(a1)),x90301)),x90301)),f2(a1))) % 219.21/219.52 [9356]P1(f319(f319(f227(a1),x93561),f2(a1)))+~P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93561),x93561)),a89)),f2(a1))) % 219.21/219.52 [9419]P1(f319(f319(f227(a1),x94191),f2(a1)))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),f319(f319(f74(a1),f72(a1)),x94191)),x94191)),f2(a1))) % 219.21/219.52 [4892]~E(a77,x48921)+E(f319(f319(f74(a1),x48921),x48921),a77) % 219.21/219.52 [4893]~E(x48931,a77)+E(f319(f319(f74(a1),x48931),x48931),a77) % 219.21/219.52 [4904]E(x49041,f2(a1))+E(f319(f319(f30(a1),x49041),x49041),f72(a1)) % 219.21/219.52 [5038]E(x50381,a77)+~E(f319(f319(f74(a1),x50381),x50381),a77) % 219.21/219.52 [5039]E(a77,x50391)+~E(f319(f319(f74(a1),x50391),x50391),a77) % 219.21/219.52 [5051]~P6(x50511)+E(f32(x50511,f234(f932(x50511,a923))),f180(x50511)) % 219.21/219.52 [5052]~P6(x50521)+E(f32(x50521,f180(f932(x50521,a923))),f234(x50521)) % 219.21/219.52 [5053]~P6(x50531)+E(f31(x50531,f234(f932(x50531,a923))),f234(x50531)) % 219.21/219.52 [5054]~P6(x50541)+E(f31(x50541,f180(f932(x50541,a923))),f180(x50541)) % 219.21/219.52 [5055]~P4(x50551)+E(f131(x50551,f180(f932(x50551,a923))),f105(x50551)) % 219.21/219.52 [5198]E(x51981,f2(a925))+P1(f319(f319(f227(a925),f2(a925)),x51981)) % 219.21/219.52 [5217]~P7(x52171)+P1(f319(f319(f226(a1),f2(a1)),x52171)) % 219.21/219.52 [5251]~E(f319(f95(a925),x52511),f2(a925))+P1(f319(f319(f226(a1),x52511),a77)) % 219.21/219.52 [5256]P42(x52561)+P1(f319(f319(f321(a1),f327(x52561)),x52561)) % 219.21/219.52 [5257]E(x52571,f319(a3,f2(a925)))+P1(f319(f319(f226(a91),f72(a91)),x52571)) % 219.21/219.52 [5300]P1(f319(a185,x53001))+P1(f319(f319(f226(a1),f2(a1)),x53001)) % 219.21/219.52 [5354]E(f319(f92(a1),f319(a96,x53541)),f2(a1))+P1(f319(f319(f226(a1),f2(a1)),x53541)) % 219.21/219.52 [5412]E(f319(f92(a1),f319(f95(a925),x54121)),f319(f95(a1),x54121))+P1(f319(a185,f319(f95(a1),x54121))) % 219.21/219.52 [5436]E(f319(f95(a925),x54361),f2(a925))+~P1(f319(a185,f319(f95(a1),x54361))) % 219.21/219.52 [5437]E(f319(f95(a925),x54371),f2(a925))+~P1(f319(f319(f226(a1),x54371),a77)) % 219.21/219.52 [5469]P7(x54691)+~P1(f319(f319(f226(a1),f2(a1)),x54691)) % 219.21/219.52 [5537]E(f319(a104,f371(x55371)),x55371)+~P1(f319(f319(f227(a925),f2(a925)),x55371)) % 219.21/219.52 [5546]E(f319(a104,f319(f95(a925),x55461)),f72(a925))+~P1(f319(a185,f319(f95(a1),x55461))) % 219.21/219.52 [5553]E(f319(f92(a1),f438(x55531)),x55531)+~P1(f319(f319(f227(a1),f2(a1)),x55531)) % 219.21/219.52 [5560]~E(x55601,f319(a3,f2(a925)))+~P1(f319(f319(f226(a91),f72(a91)),x55601)) % 219.21/219.52 [5567]E(f319(f92(a1),f319(f95(a925),x55671)),f2(a1))+~P1(f319(a185,f319(f95(a1),x55671))) % 219.21/219.52 [5593]E(f319(f157(a925),x55931),f2(a925))+P1(f319(f319(f321(a925),f596(x55931)),f319(f164(a925),x55931))) % 219.21/219.52 [5613]E(f319(f92(a1),f319(a96,x56131)),x56131)+~P1(f319(f319(f226(a1),f2(a1)),x56131)) % 219.21/219.52 [5621]~P1(f319(a185,x56211))+~P1(f319(f319(f226(a1),f2(a1)),x56211)) % 219.21/219.52 [5721]E(f319(f319(f74(a925),f72(a925)),f319(f95(a925),x57211)),f72(a925))+~P1(f319(f319(f227(a1),x57211),a77)) % 219.21/219.52 [5785]E(x57851,f2(a925))+~P1(f319(f319(f227(a925),x57851),f319(a104,f2(a925)))) % 219.21/219.52 [5824]E(f319(f319(f23(a925),f319(f95(a925),x58241)),f72(a925)),f2(a925))+~P1(f319(f319(f226(a1),x58241),a77)) % 219.21/219.52 [5825]E(f319(f319(f74(a925),f319(f95(a925),x58251)),f72(a925)),f72(a925))+~P1(f319(f319(f227(a1),x58251),a77)) % 219.21/219.52 [5837]~P42(x58371)+E(f319(f29(a925),f319(f302(a1,a925,a96),x58371)),f319(f29(a1),x58371)) % 219.21/219.52 [5867]~P4(x58671)+E(f228(x58671,f319(f7(x58671,x58671,a923),f226(x58671))),f225(x58671)) % 219.21/219.52 [5868]~P4(x58681)+E(f229(x58681,f319(f7(x58681,x58681,a923),f226(x58681))),f224(x58681)) % 219.21/219.52 [5878]E(f39(a925,f319(a104,f2(a925)),f319(f95(a925),x58781)),f319(a104,f2(a925)))+~P1(f319(a185,f319(f95(a1),x58781))) % 219.21/219.52 [5887]~P1(f319(f319(f227(a1),f2(a1)),x58871))+P1(f319(f319(f226(a1),f72(a1)),x58871)) % 219.21/219.52 [5888]P1(f319(f319(f227(a1),f2(a1)),x58881))+~P1(f319(f319(f226(a1),f72(a1)),x58881)) % 219.21/219.52 [5899]E(f319(a104,f319(f319(f23(a925),x58991),f72(a925))),x58991)+~P1(f319(f319(f227(a925),f2(a925)),x58991)) % 219.21/219.52 [5955]P1(f319(f319(f227(a925),f2(a925)),f438(x59551)))+~P1(f319(f319(f227(a1),f2(a1)),x59551)) % 219.21/219.52 [6016]E(f39(a1,f319(f95(a1),a89),x60161),f319(f319(f23(a1),x60161),f72(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x60161)) % 219.21/219.52 [6054]~P1(f319(f319(f227(a1),a77),x60541))+P1(f319(f319(f227(a925),f2(a925)),f319(f95(a925),x60541))) % 219.21/219.52 [6059]E(f319(a20,f833(x60591)),x60591)+~P1(f319(f319(f321(a925),x60591),f234(f932(a925,a923)))) % 219.21/219.52 [6113]P1(f319(f319(f227(a925),f2(a925)),f319(a96,x61131)))+~P1(f319(f319(f227(a1),f2(a1)),x61131)) % 219.21/219.52 [6163]~P1(f319(f319(f227(a925),f2(a925)),x61631))+P1(f319(f319(f227(a1),f2(a1)),f319(f92(a1),x61631))) % 219.21/219.52 [6199]~P1(f319(f319(f227(a925),f2(a925)),f319(a96,x61991)))+P1(f319(f319(f227(a1),f2(a1)),x61991)) % 219.21/219.52 [6217]~P42(x62171)+E(f319(f302(a925,a1,f92(a1)),f319(f302(a1,a925,a96),x62171)),x62171) % 219.21/219.52 [6230]P1(f319(f319(f227(a1),a77),x62301))+~P1(f319(f319(f227(a925),f2(a925)),f319(f95(a925),x62301))) % 219.21/219.52 [6285]P1(f319(f319(f227(a925),f2(a925)),x62851))+~P1(f319(f319(f227(a1),f2(a1)),f319(f92(a1),x62851))) % 219.21/219.52 [6398]E(f319(f302(a925,a1,f92(a1)),f319(f274(a925),f319(a96,x63981))),f319(f294(a1,f2(a1)),x63981))+~P1(f319(f319(f226(a1),f2(a1)),x63981)) % 219.21/219.52 [6415]~P129(x64151)+P1(f319(f319(f227(x64151),f2(x64151)),f319(f319(f74(x64151),f72(x64151)),f72(x64151)))) % 219.21/219.52 [6464]P1(f319(f319(f227(a925),f319(a104,f2(a925))),f319(a96,x64641)))+~P1(f319(f319(f227(a1),f72(a1)),x64641)) % 219.21/219.52 [6563]E(x65631,f2(a1))+P1(f319(f43(f2(a1),x65631),f319(f319(f244(a1,a1),f2(a1)),f2(a1)))) % 219.21/219.52 [6734]~P1(f319(f319(f227(a925),f319(a104,f2(a925))),f319(a96,x67341)))+P1(f319(f319(f227(a1),f72(a1)),x67341)) % 219.21/219.52 [7168]~P114(x71681)+P38(x71681,f319(f254(f931(x71681,x71681)),f319(f249(x71681,x71681,a923),f227(x71681)))) % 219.21/219.52 [5772]E(f319(f95(a925),f319(f319(f23(a1),x57721),a89)),f319(a104,f319(f95(a925),x57721)))+P1(f319(a185,f319(f95(a1),x57721))) % 219.21/219.52 [5788]~P37(x57881)+E(f319(f319(f146(a925,a1),f92(a1)),f319(f319(f146(a1,a925),a96),x57881)),x57881) % 219.21/219.52 [5905]E(f319(f73(a1),f319(f92(a1),f319(a104,f439(x59051)))),x59051)+~P1(f319(f319(f227(a1),x59051),f2(a1))) % 219.21/219.52 [5915]E(f319(f319(f74(a925),f72(a925)),f319(f95(a925),x59151)),f319(f95(a925),f319(f319(f23(a1),x59151),a89)))+P1(f319(f319(f227(a1),x59151),a77)) % 219.21/219.52 [5957]E(f319(f319(f30(a1),f319(f95(a1),a89)),x59571),f319(f95(a1),a89))+~P1(f319(f319(f227(a1),f2(a1)),x59571)) % 219.21/219.52 [6050]E(f319(f319(f23(a925),f319(f95(a925),x60501)),f72(a925)),f319(f95(a925),f319(f319(f74(a1),x60501),a89)))+P1(f319(f319(f226(a1),x60501),a77)) % 219.21/219.52 [6051]E(f319(f319(f74(a925),f319(f95(a925),x60511)),f72(a925)),f319(f95(a925),f319(f319(f23(a1),x60511),a89)))+P1(f319(f319(f227(a1),x60511),a77)) % 219.21/219.52 [6098]E(f319(a96,f319(f319(f74(a1),f72(a1)),x60981)),f319(a104,f319(a96,x60981)))+~P1(f319(f319(f226(a1),f2(a1)),x60981)) % 219.21/219.52 [6134]E(f319(a104,f319(f319(f23(a925),x61341),f319(a104,f2(a925)))),x61341)+~P1(f319(f319(f227(a925),f2(a925)),x61341)) % 219.21/219.52 [6349]E(f39(a925,f319(a104,f2(a925)),f319(f95(a925),x63491)),f319(a96,f39(a1,f72(a1),f319(f95(a1),x63491))))+P1(f319(a185,f319(f95(a1),x63491))) % 219.21/219.52 [6391]~P1(f319(f319(f226(a1),a77),x63911))+P1(f319(f319(f226(a1),a77),f319(f319(f74(a1),x63911),x63911))) % 219.21/219.52 [6392]~P1(f319(f319(f227(a1),a89),x63921))+P1(f319(f319(f226(a1),a89),f319(f319(f74(a1),x63921),x63921))) % 219.21/219.52 [6393]~P1(f319(f319(f227(a1),a77),x63931))+P1(f319(f319(f227(a1),a77),f319(f319(f74(a1),x63931),x63931))) % 219.21/219.52 [6394]~P1(f319(f319(f227(a1),a89),x63941))+P1(f319(f319(f227(a1),a89),f319(f319(f74(a1),x63941),x63941))) % 219.21/219.52 [6576]~P1(f319(f55(x65761),f234(f932(x65761,a923))))+P1(f319(f55(f929(x65761)),f234(f932(f929(x65761),a923)))) % 219.21/219.52 [6664]~P1(f319(f319(f226(a1),f2(a1)),x66641))+P1(f319(f319(f227(a1),f2(a1)),f319(f319(f74(a1),f72(a1)),x66641))) % 219.21/219.52 [6671]E(f319(f243(a1,a1),f41(f72(a1),f319(f95(a1),x66711))),f319(f319(f30(a1),f72(a1)),f319(f95(a1),x66711)))+~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x66711))) % 219.21/219.52 [6693]E(f319(f248(a1,a1),f41(f72(a1),f319(f95(a1),x66931))),f39(a1,f72(a1),f319(f95(a1),x66931)))+~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x66931))) % 219.21/219.52 [6705]P1(f319(f55(x67051),f234(f932(x67051,a923))))+~P1(f319(f55(f929(x67051)),f234(f932(f929(x67051),a923)))) % 219.21/219.52 [6735]P1(f319(f319(f226(a1),a77),x67351))+~P1(f319(f319(f226(a1),a77),f319(f319(f74(a1),x67351),x67351))) % 219.21/219.52 [6736]P1(f319(f319(f227(a1),a77),x67361))+~P1(f319(f319(f227(a1),a77),f319(f319(f74(a1),x67361),x67361))) % 219.21/219.52 [6737]P1(f319(f319(f227(a1),a89),x67371))+~P1(f319(f319(f226(a1),a89),f319(f319(f74(a1),x67371),x67371))) % 219.21/219.52 [6738]P1(f319(f319(f227(a1),a89),x67381))+~P1(f319(f319(f227(a1),a89),f319(f319(f74(a1),x67381),x67381))) % 219.21/219.52 [7060]~P1(f319(f55(x70601),f234(f932(x70601,a923))))+P1(f319(f319(f227(a925),f2(a925)),f319(f29(x70601),f234(f932(x70601,a923))))) % 219.21/219.52 [7648]P1(f319(f55(a925),x76481))+~P1(f319(f55(a1),f319(f302(a925,a1,f92(a1)),x76481))) % 219.21/219.52 [5696]~E(a89,x56961)+E(f319(f319(f23(a1),f319(f319(f74(a1),x56961),x56961)),a89),a89) % 219.21/219.52 [5697]~E(x56971,a89)+E(f319(f319(f23(a1),f319(f319(f74(a1),x56971),x56971)),a89),a89) % 219.21/219.52 [6225]E(x62251,a89)+~E(f319(f319(f23(a1),f319(f319(f74(a1),x62251),x62251)),a89),a89) % 219.21/219.52 [6226]E(a89,x62261)+~E(f319(f319(f23(a1),f319(f319(f74(a1),x62261),x62261)),a89),a89) % 219.21/219.52 [6632]~E(f319(f95(a925),x66321),f2(a925))+P1(f319(a185,f319(f95(a1),f319(f319(f74(a1),x66321),a89)))) % 219.21/219.52 [6988]~P1(f319(a185,f319(f95(a1),x69881)))+P1(f319(a185,f319(f95(a1),f319(f319(f74(a1),x69881),x69881)))) % 219.21/219.52 [6989]~P1(f319(f319(f226(a1),x69891),a77))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x69891),x69891)),a77)) % 219.21/219.52 [6990]~P1(f319(f319(f226(a1),x69901),a89))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x69901),x69901)),a89)) % 219.21/219.52 [6991]~P1(f319(f319(f227(a1),x69911),a77))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x69911),x69911)),a77)) % 219.21/219.52 [6992]~P1(f319(f319(f226(a1),x69921),a89))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x69921),x69921)),a89)) % 219.21/219.52 [7314]E(f319(f95(a925),x73141),f2(a925))+~P1(f319(a185,f319(f95(a1),f319(f319(f74(a1),x73141),a89)))) % 219.21/219.52 [7565]~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x75651)))+P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),f319(f319(f74(a1),x75651),x75651)))) % 219.21/219.52 [7566]P1(f319(a185,f319(f95(a1),x75661)))+~P1(f319(a185,f319(f95(a1),f319(f319(f74(a1),x75661),x75661)))) % 219.21/219.52 [7567]P1(f319(f319(f226(a1),x75671),a77))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),x75671),x75671)),a77)) % 219.21/219.52 [7568]P1(f319(f319(f226(a1),x75681),a89))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),x75681),x75681)),a89)) % 219.21/219.52 [7569]P1(f319(f319(f226(a1),x75691),a89))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),x75691),x75691)),a89)) % 219.21/219.52 [7570]P1(f319(f319(f227(a1),x75701),a77))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),x75701),x75701)),a77)) % 219.21/219.52 [7926]E(f319(a99,f589(x79261)),x79261)+~P1(f319(f319(f321(f932(f931(a925,a925),a923)),x79261),a90)) % 219.21/219.52 [6549]~P99(x65491)+E(f319(f95(x65491),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f72(x65491)) % 219.21/219.52 [7038]~P1(f319(a185,f319(f95(a1),x70381)))+E(f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),x70381),x70381)),a89)),f2(a925)) % 219.21/219.52 [8102]~P1(f319(f319(f227(a1),f319(f95(a1),x81021)),f2(a1)))+E(f319(f243(a1,a1),f319(a45,f44(f319(f73(a1),f72(a1)),f319(f73(a1),f319(f95(a1),x81021))))),f319(f319(f30(a1),f72(a1)),f319(f95(a1),x81021))) % 219.21/219.52 [8115]~P1(f319(f319(f227(a1),f319(f95(a1),x81151)),f2(a1)))+E(f319(f248(a1,a1),f319(a45,f44(f319(f73(a1),f72(a1)),f319(f73(a1),f319(f95(a1),x81151))))),f39(a1,f72(a1),f319(f95(a1),x81151))) % 219.21/219.52 [8165]~P1(f319(f319(f226(a1),a77),x81651))+P1(f319(f319(f226(a1),a77),f319(f319(f23(a1),f319(f319(f74(a1),x81651),x81651)),a89))) % 219.21/219.52 [8166]~P1(f319(f319(f226(a1),a89),x81661))+P1(f319(f319(f226(a1),a89),f319(f319(f23(a1),f319(f319(f74(a1),x81661),x81661)),a89))) % 219.21/219.52 [8167]~P1(f319(f319(f226(a1),a77),x81671))+P1(f319(f319(f227(a1),a77),f319(f319(f23(a1),f319(f319(f74(a1),x81671),x81671)),a89))) % 219.21/219.52 [8168]~P1(f319(f319(f227(a1),a89),x81681))+P1(f319(f319(f227(a1),a89),f319(f319(f23(a1),f319(f319(f74(a1),x81681),x81681)),a89))) % 219.21/219.52 [8468]~P99(x84681)+~P29(x84681,f319(f95(x84681),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))) % 219.21/219.52 [8652]P1(f319(f319(f226(a1),a77),x86521))+~P1(f319(f319(f226(a1),a77),f319(f319(f23(a1),f319(f319(f74(a1),x86521),x86521)),a89))) % 219.21/219.52 [8653]P1(f319(f319(f226(a1),a77),x86531))+~P1(f319(f319(f227(a1),a77),f319(f319(f23(a1),f319(f319(f74(a1),x86531),x86531)),a89))) % 219.21/219.52 [8654]P1(f319(f319(f226(a1),a89),x86541))+~P1(f319(f319(f226(a1),a89),f319(f319(f23(a1),f319(f319(f74(a1),x86541),x86541)),a89))) % 219.21/219.52 [8655]P1(f319(f319(f227(a1),a89),x86551))+~P1(f319(f319(f227(a1),a89),f319(f319(f23(a1),f319(f319(f74(a1),x86551),x86551)),a89))) % 219.21/219.52 [8979]E(f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),x89791),x89791)),a89)),f319(f319(f80(a925,a925),f319(f95(a925),x89791)),f319(f319(f8(a925,a925,a925),a104),f319(f319(f18(a925,a925,a925),f74(a925)),f5(a925)))))+P1(f319(a185,f319(f95(a1),x89791))) % 219.21/219.52 [9851]E(x98511,f180(f932(f931(a925,a925),a923)))+P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x98511),f180(f932(f931(a925,a925),a923)))),a27)) % 219.21/219.52 [8906]~P1(f319(a185,f319(f95(a1),x89061)))+P1(f319(a185,f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),x89061),x89061)),a89)))) % 219.21/219.52 [8907]~P1(f319(f319(f227(a1),x89071),a77))+P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x89071),x89071)),a89)),a77)) % 219.21/219.52 [8908]~P1(f319(f319(f226(a1),x89081),a89))+P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x89081),x89081)),a89)),a89)) % 219.21/219.52 [8909]~P1(f319(f319(f227(a1),x89091),a77))+P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x89091),x89091)),a89)),a77)) % 219.21/219.52 [8910]~P1(f319(f319(f227(a1),x89101),a89))+P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x89101),x89101)),a89)),a89)) % 219.21/219.52 [9021]~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x90211)))+P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),x90211),x90211)),a89)))) % 219.21/219.52 [9184]~P99(x91841)+E(f319(f319(f74(x91841),f72(x91841)),f72(x91841)),f319(f95(x91841),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))) % 219.21/219.52 [9340]P1(f319(a185,f319(f95(a1),x93401)))+~P1(f319(a185,f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93401),x93401)),a89)))) % 219.21/219.52 [9341]P1(f319(f319(f226(a1),x93411),a89))+~P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93411),x93411)),a89)),a89)) % 219.21/219.52 [9342]P1(f319(f319(f227(a1),x93421),a77))+~P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93421),x93421)),a89)),a77)) % 219.21/219.52 [9343]P1(f319(f319(f227(a1),x93431),a77))+~P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93431),x93431)),a89)),a77)) % 219.21/219.52 [9344]P1(f319(f319(f227(a1),x93441),a89))+~P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93441),x93441)),a89)),a89)) % 219.21/219.52 [9896]~P1(f319(f55(f931(a925,a925)),x98961))+P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),f180(f932(f931(a925,a925),a923))),x98961)),a63)) % 219.21/219.52 [9677]~P149(x96771)+E(f319(f319(f236(x96771),f72(x96771)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f72(x96771)) % 219.21/219.52 [9678]~P149(x96781)+E(f319(f319(f236(x96781),f2(x96781)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f2(x96781)) % 219.21/219.52 [10140]~P1(f319(f319(f227(a925),f72(a925)),x101401))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f30(a925),x101401),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.21/219.52 [10146]~P1(f319(f319(f227(a925),f2(a925)),x101461))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f30(a925),f319(f319(f74(a925),x101461),f72(a925))),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.21/219.52 [10184]~E(f39(a925,x101841,f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f72(a925))+P1(f319(f319(f227(a925),f2(a925)),f39(a925,x101841,f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.21/219.52 [10216]E(f39(a925,x102161,f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f72(a925))+~P1(f319(f319(f227(a925),f2(a925)),f39(a925,x102161,f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.21/219.52 [4824]~P8(x48241,x48242)+P50(x48241,x48242) % 219.21/219.52 [4825]~P38(x48251,x48252)+P62(x48251,x48252) % 219.21/219.52 [4826]~P45(x48261,x48262)+P62(x48261,x48262) % 219.21/219.52 [4828]~P8(x48281,x48282)+P54(x48281,x48282) % 219.21/219.52 [4830]~P16(x48301,x48302)+P54(x48301,x48302) % 219.21/219.52 [4832]~P8(x48321,x48322)+P55(x48321,x48322) % 219.21/219.52 [4834]~P16(x48341,x48342)+P55(x48341,x48342) % 219.21/219.52 [4835]~P8(x48351,x48352)+P16(x48351,x48352) % 219.21/219.52 [4785]~E(x47851,x47852)+E(f261(x47851,x47852),f72(a91)) % 219.21/219.52 [4788]E(f208(x47881,x47882),x47881)+~E(x47882,f2(a925)) % 219.21/219.52 [4795]~E(x47952,f105(x47951))+E(f144(x47951,x47952),f105(x47951)) % 219.21/219.52 [4814]~E(f144(x48142,x48141),f105(x48142))+E(x48141,f105(x48142)) % 219.21/219.52 [4839]~P2(x48392)+P2(f932(x48391,x48392)) % 219.21/219.52 [4840]~P3(x48402)+P3(f932(x48401,x48402)) % 219.21/219.52 [4841]~P113(x48412)+P113(f932(x48411,x48412)) % 219.21/219.52 [4842]~P6(x48422)+P6(f932(x48421,x48422)) % 219.21/219.52 [4843]~P67(x48432)+P67(f932(x48431,x48432)) % 219.21/219.52 [4844]~P96(x48442)+P96(f932(x48441,x48442)) % 219.21/219.52 [4845]~P102(x48452)+P102(f932(x48451,x48452)) % 219.21/219.52 [4846]~P102(x48462)+P107(f932(x48461,x48462)) % 219.21/219.52 [4847]~P102(x48472)+P108(f932(x48471,x48472)) % 219.21/219.52 [4848]~P105(x48482)+P103(f932(x48481,x48482)) % 219.21/219.52 [4849]~P115(x48492)+P115(f932(x48491,x48492)) % 219.21/219.52 [4850]~P106(x48502)+P106(f932(x48501,x48502)) % 219.21/219.52 [4851]~P109(x48512)+P109(f932(x48511,x48512)) % 219.21/219.52 [4852]~P105(x48522)+P104(f932(x48521,x48522)) % 219.21/219.52 [4853]~P83(x48532)+P83(f932(x48531,x48532)) % 219.21/219.52 [4854]~P105(x48542)+P105(f932(x48541,x48542)) % 219.21/219.52 [4867]E(x48671,x48672)+~E(f319(a104,x48671),f319(a104,x48672)) % 219.21/219.52 [4868]E(x48681,x48682)+~E(f319(a99,x48681),f319(a99,x48682)) % 219.21/219.52 [4869]E(x48691,x48692)+~E(f319(a3,x48691),f319(a3,x48692)) % 219.21/219.52 [4871]E(x48711,x48712)+~E(f319(a20,x48711),f319(a20,x48712)) % 219.21/219.52 [4920]P40(x49201,x49202)+~E(f727(x49202,x49201),f728(x49202,x49201)) % 219.21/219.52 [4950]~P62(x49501,x49502)+P40(x49501,f299(x49501,x49502)) % 219.21/219.52 [4951]~P56(x49511,x49512)+P56(x49511,f299(x49511,x49512)) % 219.21/219.52 [4964]~P65(x49641)+E(f39(x49641,x49642,x49642),f2(x49641)) % 219.21/219.52 [4998]~P38(x49981,x49982)+P38(f926(x49981),f138(x49981,x49982)) % 219.21/219.52 [4999]~P38(x49991,x49992)+P38(f926(x49991),f137(x49991,x49992)) % 219.21/219.52 [5000]~P39(x50001,x50002)+P39(f926(x50001),f139(x50001,x50002)) % 219.21/219.52 [5001]~P39(x50011,x50012)+P39(f926(x50011),f150(x50011,x50012)) % 219.21/219.52 [5002]~P56(x50021,x50022)+P56(f926(x50021),f150(x50021,x50022)) % 219.21/219.52 [5099]~P38(x50991,x50992)+P38(f932(x50991,a923),f310(x50991,x50992)) % 219.21/219.52 [5100]~P38(x51001,x51002)+P38(f932(x51001,a923),f311(x51001,x51002)) % 219.21/219.52 [5226]~P7(x52261)+P42(f295(a1,x52261,x52262)) % 219.21/219.52 [5332]~P38(x53321,x53322)+P64(x53321,f61(x53321,x53321,x53322)) % 219.21/219.52 [5831]~P68(x58311)+P26(x58311,x58311,f73(x58311),x58312) % 219.21/219.52 [4809]~E(x48092,f105(x48091))+E(f319(f159(x48091),x48092),f105(x48091)) % 219.21/219.52 [4810]~E(x48102,f105(x48101))+E(f319(f160(x48101),x48102),f105(x48101)) % 219.21/219.52 [4873]E(x48731,f319(a96,x48732))+~E(f319(f92(a1),x48731),x48732) % 219.21/219.52 [4876]E(x48761,f105(x48762))+~E(f319(f159(x48762),x48761),f105(x48762)) % 219.21/219.52 [4877]E(x48771,f105(x48772))+~E(f319(f160(x48772),x48771),f105(x48772)) % 219.21/219.52 [4889]~P99(x48891)+E(f319(f95(x48891),x48892),f319(f94(x48891),x48892)) % 219.21/219.52 [4897]~P71(x48971)+P1(f319(f55(x48971),x48972)) % 219.21/219.52 [4905]~E(f687(x49052,x49051),f105(x49051))+E(f171(x49051,x49052),f105(f926(x49051))) % 219.21/219.52 [4914]~E(x49142,f105(x49141))+E(f319(f164(x49141),x49142),f180(f932(x49141,a923))) % 219.21/219.52 [4915]~E(x49152,f105(x49151))+E(f180(f932(x49151,a923)),f319(f164(x49151),x49152)) % 219.21/219.52 [4917]E(x49171,x49172)+~E(f319(f92(a1),x49171),f319(f92(a1),x49172)) % 219.21/219.52 [4921]E(f206(x49211,x49212),f2(a925))+P1(f319(f55(x49211),x49212)) % 219.21/219.52 [4939]~P126(x49391)+E(f76(x49391,f76(x49391,x49392)),f76(x49391,x49392)) % 219.21/219.52 [4953]~P87(x49531)+E(f319(f319(f236(x49531),x49532),f72(a925)),x49532) % 219.21/219.52 [4954]~P121(x49541)+E(f319(f319(f236(x49541),x49542),f72(a925)),x49542) % 219.21/219.52 [4955]~P56(x49551,x49552)+E(f319(f278(x49551,x49551),x49552),x49552) % 219.21/219.52 [4959]E(x49591,x49592)+E(f261(x49591,x49592),f319(f319(f74(a91),x49592),f72(a91))) % 219.21/219.52 [4962]E(f319(f29(x49621),x49622),f2(a925))+P1(f319(f55(x49621),x49622)) % 219.21/219.52 [4965]~E(f144(x49651,x49652),x49652)+P1(f319(f129(x49651),x49652)) % 219.21/219.52 [4968]~P104(x49681)+E(f319(f319(f102(x49681),x49682),f180(x49681)),x49682) % 219.21/219.52 [4969]~P103(x49691)+E(f319(f319(f93(x49691),x49692),f234(x49691)),x49692) % 219.21/219.52 [4970]~P69(x49701)+E(f319(f319(f23(x49701),x49702),f2(x49701)),x49702) % 219.21/219.52 [4971]~P78(x49711)+E(f319(f319(f75(x49711),x49712),f72(x49711)),x49712) % 219.21/219.52 [4972]~P87(x49721)+E(f319(f319(f75(x49721),x49722),f72(x49721)),x49722) % 219.21/219.52 [4973]~P121(x49731)+E(f319(f319(f75(x49731),x49732),f72(x49731)),x49732) % 219.21/219.52 [4974]~P79(x49741)+E(f319(f319(f74(x49741),x49742),f2(x49741)),x49742) % 219.21/219.52 [4975]~P121(x49751)+E(f319(f319(f74(x49751),x49752),f2(x49751)),x49752) % 219.21/219.52 [4976]~P88(x49761)+E(f319(f319(f74(x49761),x49762),f2(x49761)),x49762) % 219.21/219.52 [4977]~P124(x49771)+E(f319(f319(f283(x49771),x49772),f72(x49771)),x49772) % 219.21/219.52 [4978]~P65(x49781)+E(f319(f319(f30(x49781),x49782),f72(x49781)),x49782) % 219.21/219.52 [4979]~P121(x49791)+E(f319(f319(f236(x49791),x49792),f2(a925)),f72(x49791)) % 219.21/219.52 [4980]~P119(x49801)+E(f319(f319(f236(x49801),x49802),f2(a925)),f72(x49801)) % 219.21/219.52 [4981]~E(x49812,f180(f932(x49811,a923)))+E(f319(f29(x49811),x49812),f2(a925)) % 219.21/219.52 [4992]~P65(x49921)+E(f39(x49921,x49922,f2(x49921)),x49922) % 219.21/219.52 [5003]~P103(x50031)+E(f319(f319(f102(x50031),x50032),f234(x50031)),f234(x50031)) % 219.21/219.52 [5004]~P104(x50041)+E(f319(f319(f93(x50041),x50042),f180(x50041)),f180(x50041)) % 219.21/219.52 [5005]~P121(x50051)+E(f319(f319(f75(x50051),x50052),f2(x50051)),f2(x50051)) % 219.21/219.52 [5006]~P133(x50061)+E(f319(f319(f75(x50061),x50062),f2(x50061)),f2(x50061)) % 219.21/219.52 [5007]~P125(x50071)+E(f319(f319(f283(x50071),x50072),f2(x50071)),f2(x50071)) % 219.21/219.52 [5008]~P65(x50081)+E(f319(f319(f30(x50081),x50082),f2(x50081)),f2(x50081)) % 219.21/219.52 [5010]~P65(x50101)+E(f39(x50101,x50102,f72(x50101)),f2(x50101)) % 219.21/219.52 [5011]~P65(x50111)+E(f39(x50111,f2(x50111),x50112),f2(x50111)) % 219.21/219.52 [5040]E(x50401,f2(a925))+E(f49(x50402,x50401,f105(x50402)),f105(f926(x50402))) % 219.21/219.52 [5063]P56(x50631,x50632)+~E(f319(f278(x50631,x50631),x50632),x50632) % 219.21/219.52 [5064]P38(x50641,x50642)+~E(f597(x50642,x50641),f180(f932(x50641,a923))) % 219.21/219.52 [5065]E(x50651,f105(x50652))+~E(f319(f164(x50652),x50651),f180(f932(x50652,a923))) % 219.21/219.52 [5066]E(x50661,f105(x50662))+~E(f180(f932(x50662,a923)),f319(f164(x50662),x50661)) % 219.21/219.52 [5069]~E(x50691,x50692)+P1(f319(f319(a316,x50691),x50692)) % 219.21/219.52 [5079]P1(x50791)+P1(f319(f319(a322,x50791),x50792)) % 219.21/219.52 [5080]E(x50801,f105(x50802))+E(f319(f319(f156(x50802),x50801),f2(a925)),f319(f133(x50802),x50801)) % 219.21/219.52 [5083]E(f144(x50831,x50832),x50832)+~P1(f319(f129(x50831),x50832)) % 219.21/219.52 [5090]~P1(x50902)+P1(f319(f319(a318,x50901),x50902)) % 219.21/219.52 [5091]~P1(x50911)+P1(f319(f319(a318,x50911),x50912)) % 219.21/219.52 [5092]~P1(x50922)+P1(f319(f319(a322,x50921),x50922)) % 219.21/219.52 [5102]~E(f688(x51022,x51021),f694(x51022,x51021))+P1(f319(f129(x51021),x51022)) % 219.21/219.52 [5109]E(f319(f254(x51091),x51092),f180(f932(x51091,a923)))+P1(f319(x51092,f325(x51092))) % 219.21/219.52 [5110]E(f180(f932(x51101,a923)),f319(f254(x51101),x51102))+P1(f319(x51102,f326(x51102))) % 219.21/219.52 [5180]~P126(x51801)+E(f319(f319(f75(x51801),x51802),f76(x51801,x51802)),f319(f69(x51801),x51802)) % 219.21/219.52 [5191]~E(x51911,f2(a1))+E(f40(x51911,x51912),f319(f319(f244(a1,a1),f2(a1)),f2(a1))) % 219.21/219.52 [5222]~P62(x52221,x52222)+P62(x52221,f319(f278(x52221,x52221),x52222)) % 219.21/219.52 [5223]~P39(x52231,x52232)+P39(x52231,f319(f278(x52231,x52231),x52232)) % 219.21/219.52 [5224]~P40(x52241,x52242)+P40(x52241,f319(f278(x52241,x52241),x52242)) % 219.21/219.52 [5225]~P56(x52251,x52252)+P56(x52251,f319(f278(x52251,x52251),x52252)) % 219.21/219.52 [5247]E(x52471,x52472)+~P1(f319(f319(a316,x52471),x52472)) % 219.21/219.52 [5258]P1(x52581)+~P1(f319(f319(a317,x52582),x52581)) % 219.21/219.52 [5259]P1(x52591)+~P1(f319(f319(a317,x52591),x52592)) % 219.21/219.52 [5264]~P115(x52641)+P1(f319(f319(f226(x52641),x52642),f234(x52641))) % 219.21/219.52 [5265]~P121(x52651)+P1(f319(f319(f279(x52651),x52652),f2(x52651))) % 219.21/219.52 [5269]E(x52691,x52692)+~E(f319(x52691,f433(x52692,x52691)),f319(x52692,f433(x52692,x52691))) % 219.21/219.52 [5302]E(x53021,f2(a925))+E(f208(x53021,f39(a925,x53022,x53021)),f208(x53022,x53021)) % 219.21/219.52 [5307]~P4(x53071)+P14(x53071,f319(f319(f143(x53071),x53072),f105(x53071))) % 219.21/219.52 [5311]E(x53111,f2(a1))+P1(f319(f43(x53112,x53111),f40(x53112,x53111))) % 219.21/219.52 [5327]~P16(x53272,x53271)+P1(f319(f319(x53271,f820(x53271)),f820(x53271))) % 219.21/219.52 [5330]~E(x53301,x53302)+P1(f319(f319(f227(a925),x53301),f319(a104,x53302))) % 219.21/219.52 [5340]~E(x53401,f2(a925))+P1(f319(f319(f227(a925),x53401),f319(a104,x53402))) % 219.21/219.52 [5353]P1(f319(x53531,x53532))+P1(f319(f319(f226(a1),f2(a1)),f426(x53531))) % 219.21/219.52 [5417]P62(x54171,x54172)+~P62(x54171,f319(f278(x54171,x54171),x54172)) % 219.21/219.52 [5418]P39(x54181,x54182)+~P39(x54181,f319(f278(x54181,x54181),x54182)) % 219.21/219.52 [5419]P40(x54191,x54192)+~P40(x54191,f319(f278(x54191,x54191),x54192)) % 219.21/219.52 [5420]P56(x54201,x54202)+~P56(x54201,f319(f278(x54201,x54201),x54202)) % 219.21/219.52 [5423]~E(f39(a925,x54232,x54231),f2(a925))+E(f319(f319(f75(a925),x54231),f452(x54231,x54232)),x54232) % 219.21/219.52 [5424]~E(f39(a1,x54242,x54241),f2(a1))+E(f319(f319(f75(a1),x54241),f453(x54241,x54242)),x54242) % 219.21/219.52 [5450]~P1(f319(x54501,x54502))+P1(f319(f319(f226(a1),f2(a1)),f425(x54501))) % 219.21/219.52 [5461]E(f319(f319(f23(a925),f319(a96,x54611)),f319(a96,x54612)),f319(a96,x54611))+~P1(f319(a185,x54612)) % 219.21/219.52 [5484]E(f264(x54841,x54842),f72(a91))+~P1(f319(f319(f226(a91),x54841),f72(a91))) % 219.21/219.52 [5579]E(f319(f319(f156(x55791),x55792),f688(x55792,x55791)),f319(f319(f156(x55791),x55792),f694(x55792,x55791)))+P1(f319(f129(x55791),x55792)) % 219.21/219.52 [5622]~P1(f319(x56221,f84(x56222,x56221)))+P1(f319(x56221,f608(x56222,x56221))) % 219.21/219.52 [5686]P64(x56861,x56862)+~P1(f319(f307(x56861,x56862),f576(x56862,x56861))) % 219.21/219.52 [5828]~P16(x58282,x58281)+P1(f319(f319(x58281,f821(x58281,x58282)),f821(x58281,x58282))) % 219.21/219.52 [5829]~P16(x58292,x58291)+P1(f319(f319(x58291,f826(x58291,x58292)),f826(x58291,x58292))) % 219.21/219.52 [5838]~E(f319(a104,f39(a925,x58381,x58382)),x58382)+E(f39(a925,f319(a104,x58381),x58382),f2(a925)) % 219.21/219.52 [5894]P38(x58941,x58942)+P1(f319(f319(f321(x58941),f628(x58942,x58941)),f629(x58942,x58941))) % 219.21/219.52 [5901]~P145(x59011)+P1(f319(f319(f321(x59011),f319(f92(x59011),x59012)),f101(x59011))) % 219.21/219.52 [5902]~P149(x59021)+P1(f319(f319(f321(x59021),f319(f92(x59021),x59022)),f178(x59021))) % 219.21/219.52 [5903]~P145(x59031)+P1(f319(f319(f321(x59031),f319(f94(x59031),x59032)),f101(x59031))) % 219.21/219.52 [5904]~P99(x59041)+P1(f319(f319(f321(x59041),f319(f95(x59041),x59042)),f101(x59041))) % 219.21/219.52 [6038]~P39(x60381,x60382)+E(f319(f319(f281(x60381,x60381,x60381),x60382),f299(x60381,x60382)),x60382) % 219.21/219.52 [6053]E(f319(a104,f39(a925,x60531,x60532)),x60532)+E(f39(a925,f319(a104,x60531),x60532),f319(a104,f39(a925,x60531,x60532))) % 219.21/219.52 [6476]P38(x64761,x64762)+~P1(f319(f319(f321(x64761),f559(x64762,x64761)),f308(x64761,x64762))) % 219.21/219.52 [6514]~P129(x65141)+~P1(f319(f319(f227(x65141),f319(f92(x65141),x65142)),f2(x65141))) % 219.21/219.52 [6515]~P92(x65151)+~P1(f319(f319(f227(x65151),f319(f69(x65151),x65152)),f2(x65151))) % 219.21/219.52 [6606]P1(f319(f319(f227(a1),x66061),f39(a1,x66062,x66061)))+~P1(f319(f319(f227(a1),x66061),f2(a1))) % 219.21/219.52 [6707]E(f319(f319(f301(a925),f319(a104,x67071)),f295(a925,x67072,x67071)),f295(a925,x67072,f319(a104,x67071)))+~P1(f319(f319(f226(a925),x67072),f319(a104,x67071))) % 219.21/219.52 [6796]~P4(x67961)+P14(x67961,f142(x67961,x67961,f5(x67961),x67962)) % 219.21/219.52 [6932]E(f319(f159(x69321),x69322),x69322)+~P1(f319(f319(f226(a925),f319(f181(f926(x69321)),x69322)),f72(a925))) % 219.21/219.52 [6952]~P92(x69521)+P1(f319(f319(f226(x69521),f319(f73(x69521),f319(f69(x69521),x69522))),f2(x69521))) % 219.21/219.52 [6984]~P38(x69841,x69842)+P38(x69841,f319(f319(f281(x69841,x69841,x69841),x69842),f299(x69841,x69842))) % 219.21/219.52 [6985]~P56(x69851,x69852)+P56(x69851,f319(f319(f281(x69851,x69851,x69851),x69852),f299(x69851,x69852))) % 219.21/219.52 [7208]~P1(f319(f319(f227(a1),x72082),f2(a1)))+P1(f319(f319(f226(a1),f39(a1,x72081,x72082)),f2(a1))) % 219.21/219.52 [7606]~P149(x76061)+E(f182(x76061,f319(f319(f7(x76061,x76061,x76061),f74(x76061)),f72(x76061)),x76062,f2(x76061)),f319(f92(x76061),x76062)) % 219.21/219.52 [7634]~P131(x76341)+~P1(f319(f319(f227(x76341),f319(f319(f75(x76341),x76342),x76342)),f2(x76341))) % 219.21/219.52 [10310]~P126(x103101)+~P1(f319(f319(f227(x103101),f319(f319(f236(x103101),x103102),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f2(x103101))) % 219.21/219.52 [4874]~E(x48742,f105(x48741))+E(f319(f181(f926(x48741)),x48742),f2(a925)) % 219.21/219.52 [4906]~E(x49061,f2(a925))+E(f319(f319(f74(a925),x49061),x49062),x49062) % 219.21/219.52 [4907]~E(x49072,f2(a925))+E(f319(f319(f75(a925),x49071),x49072),f2(a925)) % 219.21/219.52 [4909]~E(x49091,f2(a925))+E(f319(f319(f75(a925),x49091),x49092),f2(a925)) % 219.21/219.52 [4910]~E(x49102,f2(a925))+E(f319(f319(f236(a925),x49101),x49102),f72(a925)) % 219.21/219.52 [4911]~E(x49112,f2(a1))+E(f319(f319(f30(a1),x49111),x49112),f2(a1)) % 219.21/219.52 [4922]E(x49221,f105(x49222))+~E(f319(f181(f926(x49222)),x49221),f2(a925)) % 219.21/219.52 [4923]~P102(x49231)+E(f319(f319(f102(x49231),x49232),x49232),x49232) % 219.21/219.52 [4925]~P107(x49251)+E(f319(f319(f102(x49251),x49252),x49252),x49252) % 219.21/219.52 [4926]~P102(x49261)+E(f319(f319(f93(x49261),x49262),x49262),x49262) % 219.21/219.52 [4928]~P108(x49281)+E(f319(f319(f93(x49281),x49282),x49282),x49282) % 219.21/219.52 [4930]~P101(x49301)+E(f319(f319(f75(x49301),x49302),x49302),x49302) % 219.21/219.52 [4932]~P4(x49321)+E(f319(f319(f224(x49321),x49322),x49322),x49322) % 219.21/219.52 [4934]~P4(x49341)+E(f319(f319(f225(x49341),x49342),x49342),x49342) % 219.21/219.52 [4952]~P69(x49521)+E(f319(f319(f23(x49521),x49522),x49522),f2(x49521)) % 219.21/219.52 [4966]~P96(x49661)+E(f319(f73(x49661),f319(f73(x49661),x49662)),x49662) % 219.21/219.52 [4967]~P69(x49671)+E(f319(f73(x49671),f319(f73(x49671),x49672)),x49672) % 219.21/219.52 [4984]~E(x49842,f2(a925))+E(f319(f319(f236(a925),x49841),x49842),f319(a104,f2(a925))) % 219.21/219.52 [5019]~P104(x50191)+E(f319(f319(f102(x50191),f180(x50191)),x50192),x50192) % 219.21/219.52 [5020]~P103(x50201)+E(f319(f319(f93(x50201),f234(x50201)),x50202),x50202) % 219.21/219.52 [5021]~P78(x50211)+E(f319(f319(f75(x50211),f72(x50211)),x50212),x50212) % 219.21/219.52 [5022]~P87(x50221)+E(f319(f319(f75(x50221),f72(x50221)),x50222),x50222) % 219.21/219.52 [5023]~P121(x50231)+E(f319(f319(f75(x50231),f72(x50231)),x50232),x50232) % 219.21/219.52 [5024]~P79(x50241)+E(f319(f319(f74(x50241),f2(x50241)),x50242),x50242) % 219.21/219.52 [5025]~P121(x50251)+E(f319(f319(f74(x50251),f2(x50251)),x50252),x50252) % 219.21/219.52 [5026]~P88(x50261)+E(f319(f319(f74(x50261),f2(x50261)),x50262),x50262) % 219.21/219.52 [5044]~P103(x50441)+E(f319(f319(f102(x50441),f234(x50441)),x50442),f234(x50441)) % 219.21/219.52 [5045]~P104(x50451)+E(f319(f319(f93(x50451),f180(x50451)),x50452),f180(x50451)) % 219.21/219.52 [5046]~P121(x50461)+E(f319(f319(f75(x50461),f2(x50461)),x50462),f2(x50461)) % 219.21/219.52 [5047]~P133(x50471)+E(f319(f319(f75(x50471),f2(x50471)),x50472),f2(x50471)) % 219.21/219.52 [5048]~P87(x50481)+E(f319(f319(f236(x50481),f72(x50481)),x50482),f72(x50481)) % 219.21/219.52 [5049]~P124(x50491)+E(f319(f319(f283(x50491),f2(x50491)),x50492),f2(x50491)) % 219.21/219.52 [5050]~P65(x50501)+E(f319(f319(f30(x50501),f2(x50501)),x50502),f2(x50501)) % 219.21/219.52 [5058]E(x50581,f105(x50582))+E(f136(x50582,f319(f160(x50582),x50581)),f319(f133(x50582),x50581)) % 219.21/219.52 [5059]E(x50591,f105(x50592))+E(f319(f133(x50592),f319(f160(x50592),x50591)),f136(x50592,x50591)) % 219.21/219.52 [5060]E(x50601,f2(a925))+~E(f319(f319(f74(a925),x50602),x50601),x50602) % 219.21/219.52 [5067]~P145(x50671)+E(f319(f94(x50671),f319(f92(a1),x50672)),f319(f92(x50671),x50672)) % 219.21/219.52 [5068]~P99(x50681)+E(f319(f94(x50681),f319(f95(a1),x50682)),f319(f95(x50681),x50682)) % 219.21/219.52 [5075]E(x50751,f72(a925))+~E(f319(f319(f75(a925),x50752),x50751),f72(a925)) % 219.21/219.52 [5076]E(x50761,f72(a925))+~E(f319(f319(f75(a925),x50761),x50762),f72(a925)) % 219.21/219.52 [5077]E(x50771,f2(a925))+~E(f319(f319(f74(a925),x50772),x50771),f2(a925)) % 219.21/219.52 [5078]E(x50781,f2(a925))+~E(f319(f319(f74(a925),x50781),x50782),f2(a925)) % 219.21/219.52 [5095]~P92(x50951)+E(f319(f69(x50951),f319(f73(x50951),x50952)),f319(f69(x50951),x50952)) % 219.21/219.52 [5096]~P126(x50961)+E(f319(f69(x50961),f319(f92(x50961),x50962)),f319(f92(x50961),x50962)) % 219.21/219.52 [5097]~P92(x50971)+E(f319(f69(x50971),f319(f69(x50971),x50972)),f319(f69(x50971),x50972)) % 219.21/219.52 [5098]~P79(x50981)+E(f319(f157(x50981),f319(f160(x50981),x50982)),f319(f157(x50981),x50982)) % 219.21/219.52 [5103]~E(x51031,f319(a104,f2(a925)))+E(f319(f319(f236(a925),x51031),x51032),f319(a104,f2(a925))) % 219.21/219.52 [5112]~P69(x51121)+E(f319(f319(f23(x51121),f2(x51121)),x51122),f319(f73(x51121),x51122)) % 219.21/219.52 [5113]~E(x51132,f2(a925))+E(f131(a925,f319(f294(a925,x51131),x51132)),f105(a925)) % 219.21/219.52 [5122]~P99(x51221)+E(f319(f319(f74(x51221),x51222),f319(f95(x51221),a77)),x51222) % 219.21/219.52 [5123]E(x51231,f2(a1))+E(f41(f319(f69(a1),x51232),f319(f69(a1),x51231)),f47(x51232,x51231)) % 219.21/219.52 [5139]~E(x51391,x51392)+P1(f319(f319(f226(a925),x51391),x51392)) % 219.21/219.52 [5146]~E(x51461,f2(a91))+E(f319(f319(f74(a925),f319(a20,x51461)),x51462),x51462) % 219.21/219.52 [5147]~E(f319(f95(a1),x51472),f319(f92(a1),x51471))+E(x51471,f319(a96,f319(f95(a1),x51472))) % 219.21/219.52 [5148]~P6(x51481)+E(f87(x51481,f319(f16(x51481,x51481),x51482)),x51482) % 219.21/219.52 [5161]~P7(x51611)+P7(f319(f319(f236(a1),x51611),x51612)) % 219.21/219.52 [5162]~P96(x51621)+E(f319(f319(f102(x51621),x51622),f319(f73(x51621),x51622)),f234(x51621)) % 219.21/219.52 [5163]~P96(x51631)+E(f319(f319(f93(x51631),x51632),f319(f73(x51631),x51632)),f180(x51631)) % 219.21/219.52 [5164]~P69(x51641)+E(f319(f319(f74(x51641),x51642),f319(f73(x51641),x51642)),f2(x51641)) % 219.21/219.52 [5188]E(x51881,f2(a925))+~E(f319(f73(a1),f319(f92(a1),x51882)),f319(f92(a1),x51881)) % 219.21/219.52 [5189]E(x51891,f2(a925))+~E(f319(f73(a1),f319(f92(a1),x51891)),f319(f92(a1),x51892)) % 219.21/219.52 [5199]E(f186(x51991,x51992),f2(a1))+P1(f319(f319(f226(a1),x51992),x51991)) % 219.21/219.52 [5200]E(f170(x52001,x52002),f105(a1))+P1(f319(f319(f226(a1),x52001),x52002)) % 219.21/219.52 [5201]E(f233(x52011,x52012),f2(a91))+P1(f319(f319(f227(a91),x52011),x52012)) % 219.21/219.52 [5214]E(x52141,f319(a104,f2(a925)))+~E(f319(f319(f75(a925),x52142),x52141),f319(a104,f2(a925))) % 219.21/219.52 [5215]E(x52151,f319(a104,f2(a925)))+~E(f319(f319(f75(a925),x52151),x52152),f319(a104,f2(a925))) % 219.21/219.52 [5216]~P2(x52161)+P1(f319(f319(f226(x52161),x52162),x52162)) % 219.21/219.52 [5219]~P99(x52191)+E(f319(f319(f75(x52191),x52192),f319(f95(x52191),a89)),f319(f73(x52191),x52192)) % 219.21/219.52 [5239]~P145(x52391)+E(f319(f73(x52391),f319(f94(x52391),x52392)),f319(f94(x52391),f319(f73(a1),x52392))) % 219.21/219.52 [5240]~P99(x52401)+E(f319(f73(x52401),f319(f95(x52401),x52402)),f319(f95(x52401),f319(f73(a1),x52402))) % 219.21/219.52 [5270]~E(x52701,f319(a104,x52702))+P1(f319(f319(f227(a925),f2(a925)),x52701)) % 219.21/219.52 [5288]~P4(x52881)+E(f319(f73(f932(x52881,a923)),f319(f296(x52881),x52882)),f319(f293(x52881),x52882)) % 219.21/219.52 [5289]~P4(x52891)+E(f319(f73(f932(x52891,a923)),f319(f274(x52891),x52892)),f319(f275(x52891),x52892)) % 219.21/219.52 [5290]~P4(x52901)+E(f319(f73(f932(x52901,a923)),f319(f275(x52901),x52902)),f319(f274(x52901),x52902)) % 219.21/219.52 [5291]~P4(x52911)+E(f319(f73(f932(x52911,a923)),f319(f293(x52911),x52912)),f319(f296(x52911),x52912)) % 219.21/219.52 [5301]~E(f319(f92(a1),x53012),x53011)+P1(f319(f319(f226(a1),f2(a1)),x53011)) % 219.21/219.52 [5310]~E(x53102,f2(a1))+E(f47(x53101,x53102),f319(f319(f244(a1,a1),f2(a1)),f319(f69(a1),x53101))) % 219.21/219.52 [5312]~P109(x53121)+P1(f319(f319(f226(x53121),f180(x53121)),x53122)) % 219.21/219.52 [5345]E(x53451,x53452)+~E(f319(f319(f74(a1),x53451),x53451),f319(f319(f74(a1),x53452),x53452)) % 219.21/219.52 [5352]~P1(f319(x53521,x53522))+P1(f319(x53521,f319(a96,f425(x53521)))) % 219.21/219.52 [5378]~P126(x53781)+E(f319(f319(f75(x53781),f76(x53781,x53782)),f319(f69(x53781),x53782)),x53782) % 219.21/219.52 [5385]~E(x53852,f2(a925))+E(f79(f931(a925,a925),f42(x53851,x53852)),f319(f319(f244(a925,a925),f2(a925)),x53851)) % 219.21/219.52 [5390]~E(x53901,x53902)+~P1(f319(f319(f227(a925),x53901),x53902)) % 219.21/219.52 [5391]~E(x53911,x53912)+~P1(f319(f319(f227(a1),x53911),x53912)) % 219.21/219.52 [5394]~P149(x53941)+E(f319(f319(f74(x53941),f72(x53941)),f319(f92(x53941),x53942)),f319(f92(x53941),f319(a104,x53942))) % 219.21/219.52 [5398]~E(x53981,f2(a925))+~P1(f319(f319(f227(a925),x53982),x53981)) % 219.21/219.52 [5413]E(f144(x54131,x54132),x54132)+~E(f319(f181(f926(x54131)),f144(x54131,x54132)),f319(f181(f926(x54131)),x54132)) % 219.21/219.52 [5414]E(f319(f29(x54141),f319(f164(x54141),x54142)),f319(f181(f926(x54141)),x54142))+~P1(f319(f129(x54141),x54142)) % 219.21/219.52 [5428]~P1(f319(x54281,f329(x54281)))+P1(f319(x54281,f319(f92(a1),x54282))) % 219.21/219.52 [5438]E(f233(x54381,x54382),x54382)+~P1(f319(f319(f227(a91),x54381),x54382)) % 219.21/219.52 [5440]E(f264(x54401,x54402),f72(a91))+~P1(f319(f319(f227(a91),x54402),x54401)) % 219.21/219.52 [5441]E(f170(x54411,x54412),f105(a1))+~P1(f319(f319(f227(a1),x54412),x54411)) % 219.21/219.52 [5442]E(f120(x54421,x54422),f107(a1))+~P1(f319(f319(f227(a1),x54421),x54422)) % 219.21/219.52 [5444]~P113(x54441)+E(f295(x54441,x54442,x54442),f319(f319(f301(x54441),x54442),f180(f932(x54441,a923)))) % 219.21/219.52 [5464]~E(f319(f319(f23(a925),x54641),x54642),f2(a925))+P1(f319(f319(f226(a925),x54641),x54642)) % 219.21/219.52 [5481]~E(x54812,f2(a925))+E(f49(x54811,x54812,f105(x54811)),f319(f319(f143(f926(x54811)),f105(x54811)),f105(f926(x54811)))) % 219.21/219.52 [5485]~P2(x54851)+~P1(f319(f319(f227(x54851),x54852),x54852)) % 219.21/219.52 [5487]~E(f39(a1,x54871,x54872),f2(a1))+E(f39(a1,x54871,f319(f73(a1),x54872)),f2(a1)) % 219.21/219.52 [5489]~E(f39(a1,x54891,x54892),f2(a1))+E(f39(a1,f319(f73(a1),x54891),x54892),f2(a1)) % 219.21/219.52 [5496]E(f319(f294(a925,x54961),f319(a104,x54962)),f180(f932(a925,a923)))+P1(f319(f319(f226(a925),x54961),x54962)) % 219.21/219.52 [5519]E(f131(a925,f319(f294(a925,x55191),x55192)),f105(a925))+P1(f319(f319(f227(a925),x55191),x55192)) % 219.21/219.52 [5524]~E(f319(f29(x55241),f319(f164(x55241),x55242)),f319(f181(f926(x55241)),x55242))+P1(f319(f129(x55241),x55242)) % 219.21/219.52 [5528]~P1(f319(f129(x55281),x55282))+P1(f319(f129(x55281),f319(f159(x55281),x55282))) % 219.21/219.52 [5529]~P1(f319(f129(x55291),x55292))+P1(f319(f129(x55291),f319(f163(x55291),x55292))) % 219.21/219.52 [5530]~P1(f319(f129(x55301),x55302))+P1(f319(f129(x55301),f319(f160(x55301),x55302))) % 219.21/219.52 [5538]P1(f319(x55381,x55382))+~P1(f319(x55381,f319(a96,f426(x55381)))) % 219.21/219.52 [5539]P1(f319(f319(f226(a925),x55392),x55391))+P1(f319(f319(f226(a925),x55391),x55392)) % 219.21/219.52 [5540]P1(f319(f319(f226(a1),x55402),x55401))+P1(f319(f319(f226(a1),x55401),x55402)) % 219.21/219.52 [5544]~P92(x55441)+P1(f319(f319(f226(x55441),x55442),f319(f69(x55441),x55442))) % 219.21/219.52 [5547]P1(f319(x55471,f330(x55471)))+~P1(f319(x55471,f319(f92(a1),x55472))) % 219.21/219.52 [5571]E(f319(f319(f23(a925),x55711),x55712),f2(a925))+~P1(f319(f319(f226(a925),x55711),x55712)) % 219.21/219.52 [5572]E(f319(f319(f30(a925),x55721),x55722),f2(a925))+~P1(f319(f319(f227(a925),x55721),x55722)) % 219.21/219.52 [5591]E(f39(a925,x55911,x55912),x55911)+~P1(f319(f319(f227(a925),x55911),x55912)) % 219.21/219.52 [5599]E(f39(a1,x55991,f319(f73(a1),x55992)),f284(x55991,x55992))+P1(f319(f319(f226(a1),f2(a1)),x55992)) % 219.21/219.52 [5611]E(f319(f319(f23(a1),x56111),x56112),f186(x56111,x56112))+~P1(f319(f319(f226(a1),x56112),x56111)) % 219.21/219.52 [5631]P1(f319(f319(f226(a1),f2(a1)),f329(x56311)))+P1(f319(x56311,f319(f92(a1),x56312))) % 219.21/219.52 [5644]~P129(x56441)+P1(f319(f319(f226(x56441),f2(x56441)),f319(f92(x56441),x56442))) % 219.21/219.52 [5645]~P92(x56451)+P1(f319(f319(f226(x56451),f2(x56451)),f319(f69(x56451),x56452))) % 219.21/219.52 [5672]E(f319(f319(f74(a925),x56721),f331(x56722,x56721)),x56722)+~P1(f319(f319(f226(a925),x56721),x56722)) % 219.21/219.52 [5684]~E(f319(f95(a1),x56841),f319(f92(a1),x56842))+P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x56841))) % 219.21/219.52 [5687]E(f295(a1,x56871,x56872),f180(f932(a1,a923)))+~P1(f319(f319(f227(a1),x56872),x56871)) % 219.21/219.52 [5690]~P126(x56901)+E(f319(f319(f75(x56901),f319(f69(x56901),x56902)),f319(f69(x56901),x56902)),f319(f319(f75(x56901),x56902),x56902)) % 219.21/219.52 [5695]E(f131(a925,f319(f294(a925,x56951),f319(a104,x56952))),f105(a925))+P1(f319(f319(f226(a925),x56951),x56952)) % 219.21/219.52 [5699]E(f319(f319(f30(a1),x56991),x56992),f285(x56991,x56992))+~P1(f319(f319(f226(a1),f2(a1)),x56992)) % 219.21/219.52 [5719]P1(f319(f129(x57191),x57192))+~P1(f319(f129(x57191),f319(f159(x57191),x57192))) % 219.21/219.52 [5720]P1(f319(f129(x57201),x57202))+~P1(f319(f129(x57201),f319(f160(x57201),x57202))) % 219.21/219.52 [5745]P1(f319(f55(a925),x57451))+P1(f319(f319(f321(a925),f332(x57451,x57452)),x57451)) % 219.21/219.52 [5746]P1(f319(f55(a925),x57461))+P1(f319(f319(f321(a925),f351(x57461,x57462)),x57461)) % 219.21/219.52 [5749]P1(f319(f319(f227(a925),x57492),f319(a104,x57491)))+P1(f319(f319(f227(a925),x57491),x57492)) % 219.21/219.52 [5750]E(f39(a1,x57501,x57502),f284(x57501,x57502))+~P1(f319(f319(f226(a1),f2(a1)),x57502)) % 219.21/219.52 [5753]E(f131(a925,f319(f294(a925,x57531),x57532)),f105(a925))+~P1(f319(f319(f226(a925),x57532),x57531)) % 219.21/219.52 [5754]~P68(x57541)+E(f319(f302(x57541,x57541,f73(x57541)),f319(f296(x57541),x57542)),f319(f274(x57541),f319(f73(x57541),x57542))) % 219.21/219.52 [5755]~P68(x57551)+E(f319(f302(x57551,x57551,f73(x57551)),f319(f274(x57551),x57552)),f319(f296(x57551),f319(f73(x57551),x57552))) % 219.21/219.52 [5756]~P68(x57561)+E(f319(f302(x57561,x57561,f73(x57561)),f319(f275(x57561),x57562)),f319(f293(x57561),f319(f73(x57561),x57562))) % 219.21/219.52 [5757]~P68(x57571)+E(f319(f302(x57571,x57571,f73(x57571)),f319(f293(x57571),x57572)),f319(f275(x57571),f319(f73(x57571),x57572))) % 219.21/219.52 [5768]E(x57681,f180(f932(x57682,a923)))+P1(f319(f319(f321(x57682),f825(x57681,x57682)),x57681)) % 219.21/219.52 [5769]E(x57691,f180(f932(x57692,a923)))+P1(f319(f319(f321(x57692),f837(x57691,x57692)),x57691)) % 219.21/219.52 [5780]~P1(f319(f319(f227(a925),x57801),x57802))+P1(f319(f319(f226(a925),x57801),x57802)) % 219.21/219.52 [5781]~P1(f319(f319(f227(a1),x57811),x57812))+P1(f319(f319(f226(a1),x57811),x57812)) % 219.21/219.52 [5797]E(f41(x57971,x57972),f319(f319(f244(a1,a1),f2(a1)),x57971))+~P1(f319(f319(f227(a1),x57971),x57972)) % 219.21/219.52 [5799]E(f207(f319(f73(a1),x57991),f319(f73(a1),x57992)),f207(x57991,x57992))+~P1(f319(f319(f227(a1),x57992),f2(a1))) % 219.21/219.52 [5810]E(x58101,x58102)+~E(f319(a3,f319(a104,f319(a20,x58101))),f319(a3,f319(a104,f319(a20,x58102)))) % 219.21/219.52 [5815]E(f41(x58151,x58152),f319(f319(f244(a1,a1),f2(a1)),x58151))+~P1(f319(f319(f226(a1),x58152),f2(a1))) % 219.21/219.52 [5844]E(f39(a925,f319(f95(a925),x58441),f319(f95(a925),x58442)),f2(a925))+~P1(f319(a185,f319(f95(a1),x58441))) % 219.21/219.52 [5859]P1(f319(f319(f226(a1),f2(a1)),f330(x58591)))+~P1(f319(x58591,f319(f92(a1),x58592))) % 219.21/219.52 [5892]P42(f295(a1,x58921,x58922))+~P1(f319(f319(f226(a1),f2(a1)),x58921)) % 219.21/219.52 [5897]~P1(f319(f55(x58971),x58972))+P1(f319(f55(f932(x58971,a923)),f319(f300(x58971),x58972))) % 219.21/219.52 [5910]E(f319(f319(f74(a1),x59101),f319(f92(a1),f365(x59102,x59101))),x59102)+~P1(f319(f319(f226(a1),x59101),x59102)) % 219.21/219.52 [5918]P1(f319(f319(f226(a925),x59181),x59182))+P1(f319(f319(f226(a925),f319(a104,x59182)),x59181)) % 219.21/219.52 [5962]E(f319(f319(f30(a925),f319(f95(a925),x59621)),f319(f95(a925),x59622)),f2(a925))+~P1(f319(a185,f319(f95(a1),x59621))) % 219.21/219.52 [5963]E(f319(f319(f75(a925),f319(f95(a925),x59631)),f319(f95(a925),x59632)),f2(a925))+~P1(f319(f319(f227(a1),x59631),a77)) % 219.21/219.52 [5965]P1(f319(f319(f226(a925),x59651),f319(a104,x59652)))+~P1(f319(f319(f226(a925),x59651),x59652)) % 219.21/219.52 [5967]P1(f319(f319(f227(a925),x59671),f319(a104,x59672)))+~P1(f319(f319(f226(a925),x59671),x59672)) % 219.21/219.52 [5969]P1(f319(f319(f227(a925),x59691),f319(a104,x59692)))+~P1(f319(f319(f227(a925),x59691),x59692)) % 219.21/219.52 [5972]~E(x59721,x59722)+P1(f319(f319(f227(a1),x59721),f319(f319(f74(a1),x59722),f72(a1)))) % 219.21/219.52 [5975]E(f39(a1,x59751,x59752),f2(a1))+E(f319(f319(f23(a1),x59752),f39(a1,x59751,x59752)),f39(a1,f319(f73(a1),x59751),x59752)) % 219.21/219.52 [5984]E(x59841,f105(x59842))+P1(f319(f319(f321(x59842),f136(x59842,x59841)),f319(f164(x59842),x59841))) % 219.21/219.52 [5996]E(f79(f931(a925,a925),f42(x59961,x59962)),f319(f319(f244(a925,a925),f2(a925)),x59961))+~P1(f319(f319(f227(a925),x59961),x59962)) % 219.21/219.52 [6031]E(f319(f319(f23(a925),f319(f95(a925),x60311)),f319(f95(a925),x60312)),f319(f95(a925),x60311))+~P1(f319(f319(f227(a1),x60312),a77)) % 219.21/219.52 [6032]E(f319(f319(f74(a925),f319(f95(a925),x60321)),f319(f95(a925),x60322)),f319(f95(a925),x60322))+~P1(f319(f319(f227(a1),x60321),a77)) % 219.21/219.52 [6039]E(f319(a104,f319(f319(f74(a925),x60391),f416(x60392,x60391))),x60392)+~P1(f319(f319(f227(a925),x60391),x60392)) % 219.21/219.52 [6064]P1(f319(x60641,x60642))+~P1(f319(x60641,f319(a83,f588(x60642,x60641)))) % 219.21/219.52 [6065]P1(f319(x60651,x60652))+~P1(f319(x60651,f319(a3,f838(x60652,x60651)))) % 219.21/219.52 [6075]~P1(f319(f319(f227(a925),x60751),f319(a104,x60752)))+P1(f319(f319(f226(a925),x60751),x60752)) % 219.21/219.52 [6125]E(f319(f319(f301(a925),x61251),f319(f294(a925,x61252),x61251)),f319(f294(a925,x61252),f319(a104,x61251)))+~P1(f319(f319(f226(a925),x61252),x61251)) % 219.21/219.52 [6127]E(x61271,f105(x61272))+E(f319(f319(f126(x61272),f106(x61272,x61271)),f319(f319(f143(x61272),f136(x61272,x61271)),f105(x61272))),x61271) % 219.21/219.52 [6144]P1(f319(f55(x61441),x61442))+~P1(f319(f319(f227(a925),f2(a925)),f319(f29(x61441),x61442))) % 219.21/219.52 [6148]~E(x61481,f180(f932(x61482,a923)))+~P1(f319(f319(f227(a925),f2(a925)),f319(f29(x61482),x61481))) % 219.21/219.52 [6160]~P1(f319(f319(f227(a925),x61601),x61602))+P1(f319(f319(f226(a925),f319(a104,x61601)),x61602)) % 219.21/219.52 [6164]~P4(x61641)+E(f142(x61641,x61641,f5(x61641),f144(x61641,x61642)),f131(x61641,f319(f164(x61641),x61642))) % 219.21/219.52 [6167]E(x61671,f105(x61672))+P1(f319(f319(f321(x61672),f319(f133(x61672),x61671)),f319(f164(x61672),x61671))) % 219.21/219.52 [6173]~P129(x61731)+P1(f319(f319(f227(x61731),x61732),f319(f319(f74(x61731),x61732),f72(x61731)))) % 219.21/219.52 [6175]~P92(x61751)+P1(f319(f319(f226(x61751),f319(f73(x61751),x61752)),f319(f69(x61751),x61752))) % 219.21/219.52 [6189]~E(x61891,x61892)+E(f282(a925,f279(a925),x61891,x61892),f319(f319(f301(a925),x61891),f180(f932(a925,a923)))) % 219.21/219.52 [6209]P1(f319(f55(a925),x62091))+~P1(f319(f319(f226(a925),f332(x62091,x62092)),x62092)) % 219.21/219.52 [6210]P1(f319(f55(a925),x62101))+~P1(f319(f319(f227(a925),f351(x62101,x62102)),x62102)) % 219.21/219.52 [6214]~P1(f319(f55(f931(x62141,x62141)),x62142))+P1(f319(f55(x62141),f319(f273(x62141),x62142))) % 219.21/219.52 [6269]~P1(f319(f319(f227(a925),x62692),f319(a104,x62691)))+~P1(f319(f319(f227(a925),x62691),x62692)) % 219.21/219.52 [6270]~P113(x62701)+E(f319(f319(f93(f932(x62701,a923)),f319(f293(x62701),x62702)),f319(f275(x62701),x62702)),f319(f319(f301(x62701),x62702),f180(f932(x62701,a923)))) % 219.21/219.52 [6282]P1(f319(f55(x62821),x62822))+~P1(f319(f55(f932(x62821,a923)),f319(f300(x62821),x62822))) % 219.21/219.52 [6304]P1(f319(f319(f226(a925),f319(a104,x63041)),f319(a104,x63042)))+~P1(f319(f319(f226(a925),x63041),x63042)) % 219.21/219.52 [6305]P1(f319(f319(f226(a925),f319(a20,x63051)),f319(a20,x63052)))+~P1(f319(f319(f226(a91),x63051),x63052)) % 219.21/219.52 [6306]P1(f319(f319(f226(a91),f319(a3,x63061)),f319(a3,x63062)))+~P1(f319(f319(f226(a925),x63061),x63062)) % 219.21/219.52 [6308]P1(f319(f319(f227(a925),f319(a104,x63081)),f319(a104,x63082)))+~P1(f319(f319(f227(a925),x63081),x63082)) % 219.21/219.52 [6309]P1(f319(f319(f227(a925),f319(a20,x63091)),f319(a20,x63092)))+~P1(f319(f319(f227(a91),x63091),x63092)) % 219.21/219.52 [6310]P1(f319(f319(f227(a91),f319(a3,x63101)),f319(a3,x63102)))+~P1(f319(f319(f227(a925),x63101),x63102)) % 219.21/219.52 [6315]E(x63151,x63152)+~E(f319(f302(a925,a1,f92(a1)),x63151),f319(f302(a925,a1,f92(a1)),x63152)) % 219.21/219.52 [6331]P1(f319(f319(f226(a925),x63311),x63312))+~P1(f319(f319(f226(a925),f319(a104,x63311)),x63312)) % 219.21/219.52 [6334]P1(f319(f319(f227(a925),x63341),x63342))+~P1(f319(f319(f226(a925),f319(a104,x63341)),x63342)) % 219.21/219.52 [6335]P1(f319(f319(f227(a925),x63351),x63352))+~P1(f319(f319(f227(a925),f319(a104,x63351)),x63352)) % 219.21/219.52 [6352]E(f39(a1,x63521,x63522),f2(a1))+E(f319(f319(f23(a1),f39(a1,x63521,x63522)),x63522),f39(a1,x63521,f319(f73(a1),x63522))) % 219.21/219.52 [6418]E(f319(f29(f932(x64181,a923)),f319(f300(x64181),x64182)),f319(f319(f236(a925),f319(a104,f319(a104,f2(a925)))),f319(f29(x64181),x64182)))+~P1(f319(f55(x64181),x64182)) % 219.21/219.52 [6421]E(x64211,f105(x64212))+E(f319(f319(f156(x64212),x64211),f319(f319(f23(a925),f319(f181(f926(x64212)),x64211)),f72(a925))),f136(x64212,x64211)) % 219.21/219.52 [6443]E(x64431,f105(x64432))+E(f319(f319(f126(x64432),f319(f163(x64432),x64431)),f319(f319(f143(x64432),f319(f133(x64432),x64431)),f105(x64432))),f319(f159(x64432),x64431)) % 219.21/219.52 [6473]~P1(f319(f55(x64731),f31(f932(x64731,a923),x64732)))+P1(f319(f55(f932(x64731,a923)),x64732)) % 219.21/219.52 [6495]P1(f319(f319(f226(a925),f319(f95(a925),x64951)),f319(f95(a925),x64952)))+~P1(f319(f319(f226(a1),x64951),a77)) % 219.21/219.52 [6516]~P1(f319(f319(f227(a1),x65161),x65162))+P1(f319(f319(f226(a1),x65161),f319(f319(f23(a1),x65162),f72(a1)))) % 219.21/219.52 [6517]~P1(f319(f319(f226(a1),x65171),x65172))+P1(f319(f319(f227(a1),x65171),f319(f319(f74(a1),x65172),f72(a1)))) % 219.21/219.52 [6518]~P1(f319(f319(f227(a1),x65181),x65182))+P1(f319(f319(f227(a1),x65181),f319(f319(f74(a1),x65182),f72(a1)))) % 219.21/219.52 [6520]~P1(f319(f319(f226(a1),x65201),x65202))+P1(f319(f319(f226(a925),f319(f95(a925),x65201)),f319(f95(a925),x65202))) % 219.21/219.52 [6522]~P1(f319(f319(f226(a925),x65221),x65222))+P1(f319(f319(f226(a1),f319(f92(a1),x65221)),f319(f92(a1),x65222))) % 219.21/219.52 [6523]~P1(f319(f319(f226(a1),x65231),x65232))+P1(f319(f319(f226(a1),f319(f95(a1),x65231)),f319(f95(a1),x65232))) % 219.21/219.52 [6525]~P1(f319(f319(f227(a925),x65251),x65252))+P1(f319(f319(f227(a1),f319(f92(a1),x65251)),f319(f92(a1),x65252))) % 219.21/219.52 [6526]~P1(f319(f319(f227(a1),x65261),x65262))+P1(f319(f319(f227(a1),f319(f95(a1),x65261)),f319(f95(a1),x65262))) % 219.21/219.52 [6546]~P1(f319(f319(f226(a925),x65461),x65462))+~P1(f319(f319(f226(a925),f319(a104,x65462)),x65461)) % 219.21/219.52 [6589]~P1(f319(f319(f226(a925),f319(a104,x65891)),f319(a104,x65892)))+P1(f319(f319(f226(a925),x65891),x65892)) % 219.21/219.52 [6590]~P1(f319(f319(f226(a91),f319(a3,x65901)),f319(a3,x65902)))+P1(f319(f319(f226(a925),x65901),x65902)) % 219.21/219.52 [6591]~P1(f319(f319(f226(a925),f319(a20,x65911)),f319(a20,x65912)))+P1(f319(f319(f226(a91),x65911),x65912)) % 219.21/219.52 [6593]~P1(f319(f319(f227(a925),f319(a104,x65931)),f319(a104,x65932)))+P1(f319(f319(f227(a925),x65931),x65932)) % 219.21/219.52 [6594]~P1(f319(f319(f227(a91),f319(a3,x65941)),f319(a3,x65942)))+P1(f319(f319(f227(a925),x65941),x65942)) % 219.21/219.52 [6595]~P1(f319(f319(f227(a925),f319(a96,x65951)),f319(a96,x65952)))+P1(f319(f319(f227(a1),x65951),x65952)) % 219.21/219.52 [6596]~P1(f319(f319(f227(a925),f319(a20,x65961)),f319(a20,x65962)))+P1(f319(f319(f227(a91),x65961),x65962)) % 219.21/219.52 [6638]~P1(f319(f319(f227(a925),f319(a96,x66382)),f319(a96,x66381)))+P1(f319(f319(f227(a1),f2(a1)),x66381)) % 219.21/219.52 [6670]P1(f319(f319(f226(a1),f2(a1)),f39(a1,x66701,x66702)))+~P1(f319(f319(f227(a1),f2(a1)),x66702)) % 219.21/219.52 [6834]P38(x68341,x68342)+~E(f319(f319(f281(x68341,x68341,x68341),x68342),x68342),f180(f932(f931(x68341,x68341),a923))) % 219.21/219.52 [6848]~P38(x68481,x68482)+P38(x68481,f319(f319(f281(x68481,x68481,x68481),x68482),x68482)) % 219.21/219.52 [6859]P1(f319(f319(f226(a1),x68591),x68592))+~P1(f319(f319(f227(a1),x68591),f319(f319(f74(a1),x68592),f72(a1)))) % 219.21/219.52 [6860]P1(f319(f319(f227(a1),x68601),x68602))+~P1(f319(f319(f226(a1),x68601),f319(f319(f23(a1),x68602),f72(a1)))) % 219.21/219.52 [6863]P1(f319(f319(f226(a925),x68631),x68632))+~P1(f319(f319(f226(a1),f319(f92(a1),x68631)),f319(f92(a1),x68632))) % 219.21/219.52 [6864]P1(f319(f319(f226(a1),x68641),x68642))+~P1(f319(f319(f226(a1),f319(f95(a1),x68641)),f319(f95(a1),x68642))) % 219.21/219.52 [6866]P1(f319(f319(f227(a925),x68661),x68662))+~P1(f319(f319(f227(a1),f319(f92(a1),x68661)),f319(f92(a1),x68662))) % 219.21/219.52 [6867]P1(f319(f319(f227(a1),x68671),x68672))+~P1(f319(f319(f227(a925),f319(f95(a925),x68671)),f319(f95(a925),x68672))) % 219.21/219.52 [6868]P1(f319(f319(f227(a1),x68681),x68682))+~P1(f319(f319(f227(a1),f319(f95(a1),x68681)),f319(f95(a1),x68682))) % 219.21/219.52 [6966]~E(f717(x69662,x69661),f105(x69661))+E(f319(f134(f926(x69661),f926(x69661),f126(x69661),f105(x69661)),x69662),f105(x69661)) % 219.21/219.52 [6967]~E(f718(x69672,x69671),f105(x69671))+E(f319(f134(f926(x69671),f926(x69671),f126(x69671),f105(x69671)),x69672),f105(x69671)) % 219.21/219.52 [6971]~P6(x69711)+E(f319(f134(x69711,x69711,f93(x69711),f234(x69711)),x69712),f32(x69711,f319(f164(x69711),x69712))) % 219.21/219.52 [6972]~P6(x69721)+E(f319(f134(x69721,x69721,f102(x69721),f180(x69721)),x69722),f31(x69721,f319(f164(x69721),x69722))) % 219.21/219.52 [6986]E(x69861,f2(a91))+E(f319(f319(f74(a925),f319(a20,f319(f319(f23(a91),x69861),f72(a91)))),f319(a104,x69862)),f319(f319(f74(a925),f319(a20,x69861)),x69862)) % 219.21/219.52 [7035]P1(f319(f319(f227(a1),f319(f319(f23(a1),x70351),x70352)),f2(a1)))+~P1(f319(f319(f227(a1),x70351),x70352)) % 219.21/219.52 [7062]~P4(x70621)+E(f319(f319(f102(f932(x70621,a923)),f319(f319(f301(x70621),x70622),f180(f932(x70621,a923)))),f319(f296(x70621),x70622)),f319(f275(x70621),x70622)) % 219.21/219.52 [7138]~P64(x71381,x71382)+P38(x71381,f319(f254(f931(x71381,x71381)),f319(f249(x71381,x71381,a923),x71382))) % 219.21/219.52 [7139]~P64(x71391,x71392)+P62(x71391,f319(f254(f931(x71391,x71391)),f319(f249(x71391,x71391,a923),x71392))) % 219.21/219.52 [7140]~P54(x71401,x71402)+P39(x71401,f319(f254(f931(x71401,x71401)),f319(f249(x71401,x71401,a923),x71402))) % 219.21/219.52 [7141]~P55(x71411,x71412)+P56(x71411,f319(f254(f931(x71411,x71411)),f319(f249(x71411,x71411,a923),x71412))) % 219.21/219.52 [7142]E(x71421,f180(f932(x71422,a923)))+~P1(f319(f319(f226(f932(x71422,a923)),x71421),f180(f932(x71422,a923)))) % 219.21/219.52 [7223]~P1(f319(f319(f227(a925),f2(a925)),x72232))+P1(f319(f319(f226(a925),f39(a925,x72231,x72232)),x72232)) % 219.21/219.52 [7224]~P1(f319(f319(f226(a1),f2(a1)),x72241))+P1(f319(f319(f226(a1),f39(a1,x72241,x72242)),x72241)) % 219.21/219.52 [7225]~P1(f319(f319(f227(a925),f2(a925)),x72252))+P1(f319(f319(f227(a925),f39(a925,x72251,x72252)),x72252)) % 219.21/219.52 [7227]~P1(f319(f319(f227(a1),f2(a1)),x72272))+P1(f319(f319(f227(a1),f39(a1,x72271,x72272)),x72272)) % 219.21/219.52 [7304]~P113(x73041)+E(f319(f319(f23(f932(x73041,a923)),f319(f319(f301(x73041),x73042),f180(f932(x73041,a923)))),f319(f274(x73041),x73042)),f319(f319(f301(x73041),x73042),f180(f932(x73041,a923)))) % 219.21/219.52 [7379]~P50(x73791,x73792)+P57(x73791,f234(f932(x73791,a923)),f319(f254(f931(x73791,x73791)),f319(f249(x73791,x73791,a923),x73792))) % 219.21/219.52 [7380]P1(f319(x73801,x73802))+P1(f319(f319(f321(f932(f931(a925,a925),a923)),f588(x73802,x73801)),a90)) % 219.21/219.52 [7425]E(f319(f319(f126(a925),f131(a925,f319(f294(a925,x74251),x74252))),f319(f319(f143(a925),x74252),f105(a925))),f131(a925,f319(f294(a925,x74251),f319(a104,x74252))))+~P1(f319(f319(f226(a925),x74251),x74252)) % 219.21/219.52 [7574]E(x75741,f2(a925))+~E(f319(f134(a925,a925,f74(a925),x75741),x75742),f2(a925)) % 219.21/219.52 [7598]~P1(f319(f319(f227(a1),f319(f319(f23(a1),x75981),x75982)),f2(a1)))+P1(f319(f319(f227(a1),x75981),x75982)) % 219.21/219.52 [7626]P38(x76261,x76262)+~P38(x76261,f319(f319(f281(x76261,x76261,x76261),x76262),x76262)) % 219.21/219.52 [7651]~P1(f319(f319(f226(a925),f319(a104,x76511)),x76512))+P1(f177(a923,a231,f319(f226(a925),x76511),x76512)) % 219.21/219.52 [7803]P26(a925,a925,f319(f319(f7(a925,a925,a925),f23(a925)),x78031),x78032)+P1(f319(f319(f321(a925),f442(x78031,x78032)),x78032)) % 219.21/219.52 [7861]E(f319(f319(f319(f59(a925,x78611,f74(a925)),f319(f16(a925,x78611),f72(a925))),f2(a925)),x78612),f319(f29(x78611),x78612))+~P1(f319(f55(x78611),x78612)) % 219.21/219.52 [7903]P26(a925,a925,f319(f319(f7(a925,a925,a925),f23(a925)),x79031),x79032)+~P1(f319(f319(f226(a925),x79031),f442(x79031,x79032))) % 219.21/219.52 [7958]P38(x79581,x79582)+P1(f319(f319(f226(f932(x79581,a923)),f597(x79582,x79581)),f319(f277(x79581,x79581,x79582),f597(x79582,x79581)))) % 219.21/219.52 [7963]P64(x79631,x79632)+~P38(x79631,f319(f254(f931(x79631,x79631)),f319(f249(x79631,x79631,a923),x79632))) % 219.21/219.52 [7964]P54(x79641,x79642)+~P39(x79641,f319(f254(f931(x79641,x79641)),f319(f249(x79641,x79641,a923),x79642))) % 219.21/219.52 [7965]P55(x79651,x79652)+~P56(x79651,f319(f254(f931(x79651,x79651)),f319(f249(x79651,x79651,a923),x79652))) % 219.21/219.52 [8032]P1(f319(f319(f226(a925),f319(a104,x80321)),x80322))+~P1(f177(a923,a231,f319(f226(a925),x80321),x80322)) % 219.21/219.52 [8090]P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),x80901),x80902)),f299(a925,a309)))+~P1(f319(f319(f226(a925),x80901),x80902)) % 219.21/219.52 [8188]P50(x81881,x81882)+~P57(x81881,f234(f932(x81881,a923)),f319(f254(f931(x81881,x81881)),f319(f249(x81881,x81881,a923),x81882))) % 219.21/219.52 [8244]~P1(f319(f129(x82441),x82442))+P1(f319(f129(f932(x82441,a923)),f319(f319(f146(f926(x82441),f932(x82441,a923)),f164(x82441)),f48(x82441,x82442)))) % 219.21/219.52 [8445]~P38(x84451,f319(f278(x84451,x84451),x84452))+P38(x84451,f319(f278(x84451,x84451),f319(f319(f281(x84451,x84451,x84451),x84452),f299(x84451,x84452)))) % 219.21/219.52 [8545]P27(x85451,a925,f515(x85452,x85451),x85452,f319(f294(a925,f2(a925)),f319(f29(x85451),x85452)))+~P1(f319(f55(x85451),x85452)) % 219.21/219.52 [8546]P27(a925,x85461,f458(x85462,x85461),f319(f294(a925,f2(a925)),f319(f29(x85461),x85462)),x85462)+~P1(f319(f55(x85461),x85462)) % 219.21/219.52 [8564]P27(a925,x85641,f451(x85642,x85641),f295(a925,f72(a925),f319(f29(x85641),x85642)),x85642)+~P1(f319(f55(x85641),x85642)) % 219.21/219.52 [8573]P1(f319(f55(f931(x85731,x85731)),f319(f319(f281(x85731,x85731,x85731),x85732),f299(x85731,x85732))))+~P1(f319(f55(f931(x85731,x85731)),x85732)) % 219.21/219.52 [8600]E(x86001,f2(a1))+P1(f319(f43(x86002,x86001),f319(f319(f244(a1,a1),f319(f319(f30(a1),x86002),x86001)),f39(a1,x86002,x86001)))) % 219.21/219.52 [8614]~P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),x86141),x86142)),f299(a925,a309)))+P1(f319(f319(f226(a925),x86141),x86142)) % 219.21/219.52 [8630]~P88(x86301)+E(f319(f134(x86301,x86301,f319(f7(x86301,x86301,x86301),f74(x86301)),f2(x86301)),f319(f160(x86301),x86302)),f319(f134(x86301,x86301,f74(x86301),f2(x86301)),x86302)) % 219.21/219.52 [8806]~P4(x88061)+E(f319(f134(f926(x88061),x88061,f319(f7(x88061,f926(x88061),f926(x88061)),f140(x88061,x88061,f5(x88061))),f105(x88061)),x88062),f142(x88061,x88061,f5(x88061),x88062)) % 219.21/219.52 [8917]~P62(x89171,f319(f254(f931(x89171,x89171)),f319(f249(x89171,x89171,a923),x89172)))+P62(x89171,f319(f254(f931(x89171,x89171)),f319(f249(x89171,x89171,a923),f235(x89171,x89171,x89172)))) % 219.21/219.52 [8931]P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),x89311),x89312)),f319(f319(f281(a925,a925,a925),a309),f299(a925,a309))))+~P1(f319(f319(f227(a925),x89311),x89312)) % 219.21/219.52 [8977]~P1(f319(f55(f931(x89771,x89771)),f319(f319(f281(x89771,x89771,x89771),x89772),f299(x89771,x89772))))+P1(f319(f55(f931(x89771,x89771)),x89772)) % 219.21/219.52 [9036]~P62(x90361,f319(f254(f931(x90361,x90361)),f319(f249(x90361,x90361,a923),f235(x90361,x90361,x90362))))+P62(x90361,f319(f254(f931(x90361,x90361)),f319(f249(x90361,x90361,a923),x90362))) % 219.21/219.52 [9239]P62(x92391,x92392)+P1(f319(f319(f321(f931(x92391,x92391)),f319(f319(f244(x92391,x92391),f623(x92392,x92391)),f623(x92392,x92391))),f319(f319(f281(x92391,x92391,x92391),x92392),f299(x92391,x92392)))) % 219.21/219.52 [9240]P62(x92401,x92402)+P1(f319(f319(f321(f931(x92401,x92401)),f319(f319(f244(x92401,x92401),f633(x92402,x92401)),f633(x92402,x92401))),f319(f319(f281(x92401,x92401,x92401),x92402),f299(x92401,x92402)))) % 219.21/219.52 [9359]~P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),x93591),x93592)),f319(f319(f281(a925,a925,a925),a309),f299(a925,a309))))+P1(f319(f319(f227(a925),x93591),x93592)) % 219.21/219.52 [5284]~P99(x52841)+E(f319(f319(f74(x52841),f319(f95(x52841),a77)),x52842),x52842) % 219.21/219.52 [5317]~P96(x53171)+E(f319(f319(f102(x53171),f319(f73(x53171),x53172)),x53172),f234(x53171)) % 219.21/219.52 [5318]~P96(x53181)+E(f319(f319(f93(x53181),f319(f73(x53181),x53182)),x53182),f180(x53181)) % 219.21/219.52 [5319]~P69(x53191)+E(f319(f319(f74(x53191),f319(f73(x53191),x53192)),x53192),f2(x53191)) % 219.21/219.52 [5320]~P70(x53201)+E(f319(f319(f74(x53201),f319(f73(x53201),x53202)),x53202),f2(x53201)) % 219.21/219.52 [5356]~P99(x53561)+E(f319(f319(f75(x53561),f319(f95(x53561),a89)),x53562),f319(f73(x53561),x53562)) % 219.21/219.52 [5511]~P118(x55111)+E(f319(f319(f75(x55111),f319(f73(x55111),f72(x55111))),x55112),f319(f73(x55111),x55112)) % 219.21/219.52 [5556]E(f319(f69(a1),x55561),f72(a1))+~E(f319(f69(a1),f319(f319(f75(a1),x55561),x55562)),f72(a1)) % 219.21/219.52 [5647]~P99(x56471)+E(f319(f319(f74(x56471),f72(x56471)),f319(f95(x56471),x56472)),f319(f95(x56471),f319(f319(f23(a1),x56472),a89))) % 219.21/219.52 [5700]~P6(x57001)+E(f32(x57001,f319(f319(f301(x57001),x57002),f180(f932(x57001,a923)))),x57002) % 219.21/219.52 [5701]~P6(x57011)+E(f31(x57011,f319(f319(f301(x57011),x57012),f180(f932(x57011,a923)))),x57012) % 219.21/219.52 [5702]~P102(x57021)+E(f10(x57021,f319(f319(f301(x57021),x57022),f180(f932(x57021,a923)))),x57022) % 219.21/219.52 [5703]~P102(x57031)+E(f13(x57031,f319(f319(f301(x57031),x57032),f180(f932(x57031,a923)))),x57032) % 219.21/219.52 [5704]~P4(x57041)+E(f14(x57041,f319(f319(f301(x57041),x57042),f180(f932(x57041,a923)))),x57042) % 219.21/219.52 [5705]~P4(x57051)+E(f15(x57051,f319(f319(f301(x57051),x57052),f180(f932(x57051,a923)))),x57052) % 219.21/219.52 [5727]E(f319(f319(f74(a925),x57271),f319(f319(f23(a925),x57272),x57271)),x57272)+P1(f319(f319(f227(a925),x57272),x57271)) % 219.21/219.52 [5763]E(x57631,f105(x57632))+P1(f319(f319(f227(a925),f2(a925)),f319(f181(f926(x57632)),x57631))) % 219.21/219.52 [5889]~P4(x58891)+E(f11(x58891,f224(x58891),f319(f319(f301(x58891),x58892),f180(f932(x58891,a923)))),x58892) % 219.21/219.52 [5890]~P4(x58901)+E(f12(x58901,f225(x58901),f319(f319(f301(x58901),x58902),f180(f932(x58901,a923)))),x58902) % 219.21/219.52 [5951]E(f319(f319(f23(a925),x59511),f319(f319(f23(a925),x59511),x59512)),x59512)+~P1(f319(f319(f226(a925),x59512),x59511)) % 219.21/219.52 [5952]E(f319(f319(f74(a925),x59521),f319(f319(f23(a925),x59522),x59521)),x59522)+~P1(f319(f319(f226(a925),x59521),x59522)) % 219.21/219.52 [5974]E(f39(a925,f319(f319(f23(a925),x59741),x59742),x59742),f39(a925,x59741,x59742))+P1(f319(f319(f227(a925),x59741),x59742)) % 219.21/219.52 [5985]E(f319(f73(a1),f319(f319(f30(a1),x59851),f319(f73(a1),x59852))),f285(x59851,x59852))+P1(f319(f319(f226(a1),f2(a1)),x59852)) % 219.21/219.52 [5987]~E(x59872,f2(a925))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f236(a925),x59871),x59872))) % 219.21/219.52 [6042]~P99(x60421)+E(f319(f319(f74(x60421),f319(f73(x60421),f72(x60421))),f319(f95(x60421),x60422)),f319(f95(x60421),f319(f319(f74(a1),x60422),a89))) % 219.21/219.52 [6044]E(f319(f319(f236(a925),f319(f95(a925),x60441)),x60442),f319(f319(f236(a925),f2(a925)),x60442))+~P1(f319(a185,f319(f95(a1),x60441))) % 219.21/219.52 [6152]E(f319(f133(a925),f131(a925,f319(f294(a925,x61521),x61522))),x61521)+~P1(f319(f319(f227(a925),x61521),x61522)) % 219.21/219.52 [6168]E(f319(f319(f75(a925),f319(f95(a925),x61681)),f319(f95(a925),x61682)),f319(f95(a925),f319(f319(f75(a1),x61681),x61682)))+P1(f319(f319(f227(a1),x61681),a77)) % 219.21/219.52 [6174]~P131(x61741)+P1(f319(f319(f226(x61741),f2(x61741)),f319(f319(f75(x61741),x61742),x61742))) % 219.21/219.52 [6186]E(f319(f319(f23(a925),f319(a104,x61861)),x61862),f319(a104,f319(f319(f23(a925),x61861),x61862)))+~P1(f319(f319(f226(a925),x61862),x61861)) % 219.21/219.52 [6190]E(f39(a925,f319(f319(f23(a925),x61901),x61902),x61902),f39(a925,x61901,x61902))+~P1(f319(f319(f226(a925),x61902),x61901)) % 219.21/219.52 [6245]E(f319(f319(f236(a925),f319(a96,x62451)),x62452),f319(a96,f319(f319(f236(a1),x62451),x62452)))+~P1(f319(f319(f226(a1),f2(a1)),x62451)) % 219.21/219.52 [6263]P1(f319(f129(x62631),x62632))+P1(f319(f319(f227(a925),f688(x62632,x62631)),f319(f181(f926(x62631)),x62632))) % 219.21/219.52 [6264]P1(f319(f129(x62641),x62642))+P1(f319(f319(f227(a925),f694(x62642,x62641)),f319(f181(f926(x62641)),x62642))) % 219.21/219.52 [6276]~E(x62761,f105(x62762))+~P1(f319(f319(f227(a925),f2(a925)),f319(f181(f926(x62762)),x62761))) % 219.21/219.52 [6287]E(f136(a925,f131(a925,f319(f294(a925,x62871),x62872))),f319(f319(f23(a925),x62872),f72(a925)))+~P1(f319(f319(f227(a925),x62871),x62872)) % 219.21/219.52 [6290]E(f319(f319(f74(a1),x62901),f319(f92(a1),f319(a104,f419(x62902,x62901)))),x62902)+~P1(f319(f319(f227(a1),x62901),x62902)) % 219.21/219.52 [6297]E(x62971,f2(a925))+E(f319(f319(f75(a925),x62972),f319(f319(f236(a925),x62972),f319(f319(f23(a925),x62971),f72(a925)))),f319(f319(f236(a925),x62972),x62971)) % 219.21/219.52 [6325]E(f319(f319(f75(a925),f319(a96,x63251)),f319(a96,x63252)),f319(a96,f319(f319(f75(a1),x63251),x63252)))+~P1(f319(f319(f226(a1),f2(a1)),x63251)) % 219.21/219.52 [6326]E(f319(f319(f30(a925),f319(a96,x63261)),f319(a96,x63262)),f319(a96,f319(f319(f30(a1),x63261),x63262)))+~P1(f319(f319(f226(a1),f2(a1)),x63261)) % 219.21/219.52 [6340]~P121(x63401)+E(f319(f319(f74(x63401),x63402),x63402),f319(f319(f75(x63401),f319(f319(f74(x63401),f72(x63401)),f72(x63401))),x63402)) % 219.21/219.52 [6361]E(f319(f319(f23(a1),f319(f92(a1),x63611)),f319(f92(a1),x63612)),f319(f92(a1),f319(f319(f23(a925),x63611),x63612)))+~P1(f319(f319(f226(a925),x63612),x63611)) % 219.21/219.52 [6363]E(f319(f319(f244(a1,a1),f319(f95(a1),a89)),f319(f319(f74(a1),x63631),x63632)),f44(x63631,x63632))+~P1(f319(f319(f226(a1),x63632),f2(a1))) % 219.21/219.52 [6395]E(f171(x63951,x63952),f105(f926(x63951)))+P1(f319(f319(f321(f926(x63951)),f687(x63952,x63951)),f319(f164(f926(x63951)),x63952))) % 219.21/219.52 [6404]E(f108(a1,f319(f121(a1),x64041),f120(x64042,f319(f319(f74(a1),x64041),f72(a1)))),f120(x64042,x64041))+P1(f319(f319(f227(a1),x64042),x64041)) % 219.21/219.52 [6479]E(f319(f319(f143(a1),x64791),f170(f319(f319(f74(a1),x64791),f72(a1)),x64792)),f170(x64791,x64792))+~P1(f319(f319(f226(a1),x64791),x64792)) % 219.21/219.52 [6519]~P1(f319(f319(f227(a925),x65192),x65191))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f23(a925),x65191),x65192))) % 219.21/219.52 [6551]~P1(f319(f319(f227(a925),x65511),f319(a96,x65512)))+P1(f319(f319(f227(a1),f319(f92(a1),x65511)),x65512)) % 219.21/219.52 [6580]~P4(x65801)+E(f319(f319(f102(f932(x65801,a923)),f319(f274(x65801),x65802)),f319(f319(f301(x65801),x65802),f180(f932(x65801,a923)))),f319(f293(x65801),x65802)) % 219.21/219.52 [6581]~P1(f319(f319(f226(a1),f2(a1)),x65811))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f236(a1),x65811),x65812))) % 219.21/219.52 [6584]~P1(f319(f319(f227(a925),f2(a925)),x65841))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f236(a925),x65841),x65842))) % 219.21/219.52 [6614]~E(f319(x66141,f2(a925)),f2(a925))+E(f319(f319(f6(a925,a925),x66141),f295(a925,f319(a104,f2(a925)),x66142)),f319(f319(f6(a925,a925),x66141),f295(a925,f2(a925),x66142))) % 219.21/219.52 [6678]~P99(x66781)+E(f319(f319(f75(x66781),f319(f319(f74(x66781),f72(x66781)),f72(x66781))),f319(f95(x66781),x66782)),f319(f95(x66781),f319(f319(f74(a1),x66782),x66782))) % 219.21/219.52 [6695]E(f319(f319(f301(a1),x66951),f295(a1,f319(f319(f74(a1),x66951),f72(a1)),x66952)),f295(a1,x66951,x66952))+P1(f319(f319(f227(a1),x66952),x66951)) % 219.21/219.52 [6696]P1(f319(f319(f227(a925),x66961),f319(a96,x66962)))+~P1(f319(f319(f227(a1),f319(f92(a1),x66961)),x66962)) % 219.21/219.52 [6799]E(f319(a96,f319(f319(f30(a1),f319(f95(a1),x67991)),f319(f95(a1),x67992))),f319(f319(f30(a925),f319(f95(a925),x67991)),f319(f95(a925),x67992)))+P1(f319(a185,f319(f95(a1),x67991))) % 219.21/219.52 [6861]P1(f319(f319(f227(a925),x68611),x68612))+~P1(f319(f319(f227(a925),f2(a925)),f319(f319(f23(a925),x68612),x68611))) % 219.21/219.52 [6906]P1(f319(f319(f227(a925),f2(a925)),x69061))+~P1(f319(f319(f227(a925),f2(a925)),f319(f319(f75(a925),x69062),x69061))) % 219.21/219.52 [6907]P1(f319(f319(f227(a925),f2(a925)),x69071))+~P1(f319(f319(f227(a925),f2(a925)),f319(f319(f75(a925),x69071),x69072))) % 219.21/219.52 [6927]~P1(f319(f319(f226(a1),x69271),f2(a1)))+E(f319(f319(f75(a925),f319(a96,f319(f73(a1),x69271))),f319(a96,f319(f73(a1),x69272))),f319(a96,f319(f319(f75(a1),x69271),x69272))) % 219.21/219.52 [6983]~E(x69832,f180(f932(x69831,a923)))+P1(f319(f319(f226(f932(x69831,a923)),x69832),f319(f73(f932(x69831,a923)),x69832))) % 219.21/219.52 [7045]~P99(x70451)+E(f319(f319(f74(x70451),f319(f319(f74(x70451),f2(x70451)),f319(f95(x70451),x70452))),f319(f95(x70451),x70452)),f319(f95(x70451),f319(f319(f74(a1),x70452),x70452))) % 219.21/219.52 [7103]~P1(f319(f319(f227(a1),x71031),x71032))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x71031),f72(a1))),x71032)) % 219.21/219.52 [7169]E(x71691,f2(a925))+~P1(f319(f319(f226(a1),f319(f92(a1),x71692)),f319(f73(a1),f319(f92(a1),x71691)))) % 219.21/219.52 [7170]E(x71701,f2(a925))+~P1(f319(f319(f226(a1),f319(f92(a1),x71701)),f319(f73(a1),f319(f92(a1),x71702)))) % 219.21/219.52 [7271]E(f319(f319(f244(a1,a1),f319(f95(a1),a89)),f319(f319(f74(a1),x72711),x72712)),f44(x72711,x72712))+~P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),x72711),x72712))) % 219.21/219.52 [7316]~P28(x73161,x73162)+P38(x73161,f319(f243(f932(f931(x73161,x73161),a923),f932(f931(x73161,x73161),a923)),x73162)) % 219.21/219.52 [7335]~P1(f319(f319(f226(a925),f319(a104,f2(a925))),x73351))+P1(f319(f319(f226(a925),f319(a104,f2(a925))),f319(f319(f236(a925),x73351),x73352))) % 219.21/219.52 [7515]~P1(f319(f319(f226(a1),x75151),x75152))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x75151),x75151)),f319(f319(f74(a1),x75152),x75152))) % 219.21/219.52 [7520]~P1(f319(f319(f227(a1),x75201),x75202))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x75201),x75201)),f319(f319(f74(a1),x75202),x75202))) % 219.21/219.52 [7575]~P1(f319(f319(f227(a925),f2(a925)),x75751))+P1(f319(f319(f227(a925),f319(f319(f23(a925),x75751),f319(a104,x75752))),x75751)) % 219.21/219.52 [7608]P1(f319(f319(f226(a925),f319(a104,f2(a925))),x76081))+~P1(f319(f319(f226(a925),f319(a104,f2(a925))),f319(f319(f75(a925),x76082),x76081))) % 219.21/219.52 [7609]P1(f319(f319(f226(a925),f319(a104,f2(a925))),x76091))+~P1(f319(f319(f226(a925),f319(a104,f2(a925))),f319(f319(f75(a925),x76091),x76092))) % 219.21/219.52 [7613]P1(f319(f319(f226(a925),f319(f319(f156(a925),x76131),x76132)),f319(f157(a925),x76131)))+~P1(f319(f319(f227(a925),x76132),f319(f181(f926(a925)),x76131))) % 219.21/219.52 [7650]P1(f319(f319(f227(a1),x76501),x76502))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),x76501),f72(a1))),x76502)) % 219.21/219.52 [7692]P1(f319(f55(x76921),f234(f932(x76921,a923))))+~P1(f319(f55(f932(x76922,x76921)),f234(f932(f932(x76922,x76921),a923)))) % 219.21/219.52 [7693]P1(f319(f55(x76931),f234(f932(x76931,a923))))+~P1(f319(f55(f933(x76932,x76931)),f234(f932(f933(x76932,x76931),a923)))) % 219.21/219.52 [7694]P1(f319(f55(x76941),f234(f932(x76941,a923))))+~P1(f319(f55(f933(x76941,x76942)),f234(f932(f933(x76941,x76942),a923)))) % 219.21/219.52 [7731]E(x77311,f180(f932(x77312,a923)))+~P1(f319(f319(f226(f932(x77312,a923)),x77311),f319(f73(f932(x77312,a923)),x77311))) % 219.21/219.52 [7871]E(f319(f134(f926(x78711),f926(x78711),f126(x78711),f105(x78711)),x78712),f105(x78711))+P1(f319(f319(f321(f926(x78711)),f717(x78712,x78711)),f319(f164(f926(x78711)),x78712))) % 219.21/219.52 [7872]E(f319(f134(f926(x78721),f926(x78721),f126(x78721),f105(x78721)),x78722),f105(x78721))+P1(f319(f319(f321(f926(x78721)),f718(x78722,x78721)),f319(f164(f926(x78721)),x78722))) % 219.21/219.52 [8108]P1(f319(f319(f226(a1),x81081),x81082))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),x81081),x81081)),f319(f319(f74(a1),x81082),x81082))) % 219.21/219.52 [8113]P1(f319(f319(f227(a1),x81131),x81132))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),x81131),x81131)),f319(f319(f74(a1),x81132),x81132))) % 219.21/219.52 [8208]~P121(x82081)+E(f319(f319(f75(x82081),f319(f319(f74(x82081),f72(x82081)),f72(x82081))),f319(f319(f6(a925,x82081),f92(x82081)),f295(a925,f72(a925),x82082))),f319(f319(f75(x82081),f319(f92(x82081),x82082)),f319(f319(f74(x82081),f319(f92(x82081),x82082)),f72(x82081)))) % 219.21/219.52 [8258]P1(f319(f319(f321(a925),x82581),x82582))+~P1(f319(f319(f321(a1),f319(f92(a1),x82581)),f319(f302(a925,a1,f92(a1)),x82582))) % 219.21/219.52 [8417]~P1(f319(f55(x84171),x84172))+E(f319(f302(a925,x84171,f456(x84172,x84171)),f319(f254(a925),f319(f319(f7(a925,a925,a923),f227(a925)),f457(x84172,x84171)))),x84172) % 219.21/219.52 [8700]P58(x87001,x87002)+P1(f319(f319(f321(f931(x87001,x87001)),f319(f319(f244(x87001,x87001),f540(x87002,x87001)),f540(x87002,x87001))),x87002)) % 219.21/219.52 [8701]P39(x87011,x87012)+P1(f319(f319(f321(f931(x87011,x87011)),f319(f319(f244(x87011,x87011),f808(x87012,x87011)),f811(x87012,x87011))),x87012)) % 219.21/219.52 [8702]P39(x87021,x87022)+P1(f319(f319(f321(f931(x87021,x87021)),f319(f319(f244(x87021,x87021),f811(x87022,x87021)),f812(x87022,x87021))),x87022)) % 219.21/219.52 [8703]P40(x87031,x87032)+P1(f319(f319(f321(f931(x87031,x87031)),f319(f319(f244(x87031,x87031),f728(x87032,x87031)),f727(x87032,x87031))),x87032)) % 219.21/219.52 [8704]P40(x87041,x87042)+P1(f319(f319(f321(f931(x87041,x87041)),f319(f319(f244(x87041,x87041),f727(x87042,x87041)),f728(x87042,x87041))),x87042)) % 219.21/219.52 [8705]P56(x87051,x87052)+P1(f319(f319(f321(f931(x87051,x87051)),f319(f319(f244(x87051,x87051),f822(x87052,x87051)),f823(x87052,x87051))),x87052)) % 219.21/219.52 [8849]~P99(x88491)+E(f319(f319(f23(x88491),f72(x88491)),f319(f95(x88491),x88492)),f319(f95(x88491),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f73(a1),x88492)))) % 219.21/219.52 [8974]~P1(f319(f319(f227(f932(a925,a923)),x89741),x89742))+P1(f319(f319(f227(f932(a1,a923)),f319(f302(a925,a1,f92(a1)),x89741)),f319(f302(a925,a1,f92(a1)),x89742))) % 219.21/219.52 [9009]~P1(f319(f319(f227(a1),x90091),x90092))+P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x90091),x90091)),a89)),f319(f319(f74(a1),x90092),x90092))) % 219.21/219.52 [9011]~P1(f319(f319(f227(a1),x90111),x90112))+P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x90111),x90111)),a89)),f319(f319(f74(a1),x90112),x90112))) % 219.21/219.52 [9084]~P1(f319(f319(f321(a925),x90841),f319(f164(a925),x90842)))+P1(f319(f319(f226(a925),x90841),f319(f134(a925,a925,f74(a925),f2(a925)),x90842))) % 219.21/219.52 [9178]P47(x91781,x91782)+~P1(f319(f319(f321(f931(x91781,x91781)),f319(f319(f244(x91781,x91781),f532(x91782,x91781)),f532(x91782,x91781))),x91782)) % 219.21/219.52 [9179]P39(x91791,x91792)+~P1(f319(f319(f321(f931(x91791,x91791)),f319(f319(f244(x91791,x91791),f808(x91792,x91791)),f812(x91792,x91791))),x91792)) % 219.21/219.52 [9180]P56(x91801,x91802)+~P1(f319(f319(f321(f931(x91801,x91801)),f319(f319(f244(x91801,x91801),f823(x91802,x91801)),f822(x91802,x91801))),x91802)) % 219.21/219.52 [9321]~P1(f319(f319(f226(f932(a1,a923)),f319(f302(a925,a1,f92(a1)),x93211)),f319(f302(a925,a1,f92(a1)),x93212)))+P1(f319(f319(f226(f932(a925,a923)),x93211),x93212)) % 219.21/219.52 [9322]~P1(f319(f319(f227(f932(a1,a923)),f319(f302(a925,a1,f92(a1)),x93221)),f319(f302(a925,a1,f92(a1)),x93222)))+P1(f319(f319(f227(f932(a925,a923)),x93221),x93222)) % 219.21/219.52 [9409]P1(f319(f319(f227(a1),x94091),x94092))+~P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x94091),x94091)),a89)),f319(f319(f74(a1),x94092),x94092))) % 219.21/219.52 [9411]P1(f319(f319(f227(a1),x94111),x94112))+~P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x94111),x94111)),a89)),f319(f319(f74(a1),x94112),x94112))) % 219.21/219.52 [10329]~P111(x103291)+E(f108(f926(x103291),f319(f121(f926(x103291)),f105(x103291)),f319(f319(f319(f86(f927(f926(x103291))),f319(f319(f227(a1),f2(a1)),x103292)),f319(f110(f931(x103291,f926(x103291)),f926(x103291),f123(x103291,f926(x103291),f124(x103291,f319(f319(f23(a1),x103292),f72(a1))),f124(f926(x103291),f319(f319(f23(a1),x103292),f72(a1))))),f319(f249(x103291,f926(x103291),f927(f926(x103291))),f319(f319(f8(f932(f926(x103291),f926(x103291)),f932(f926(x103291),f927(f926(x103291))),x103291),f319(f8(f926(x103291),f927(f926(x103291)),f926(x103291)),f121(f926(x103291)))),f143(x103291))))),f107(f926(x103291)))),f124(f926(x103291),x103292)) % 219.21/219.52 [10351]~P1(f319(f55(x103511),x103512))+E(f319(f181(f926(x103511)),f84(f926(x103511),f319(f319(f18(f926(x103511),a923,a923),f319(f319(f8(a923,f932(a923,a923),f926(x103511)),a317),f319(f319(f7(f926(x103511),f932(x103511,a923),a923),f319(f319(f8(f932(x103511,a923),f932(f932(x103511,a923),a923),f926(x103511)),a316),f164(x103511))),x103512))),f129(x103511)))),f206(x103511,x103512)) % 219.21/219.52 [6286]E(f319(f319(f74(a925),f319(f319(f23(a925),x62861),x62862)),x62862),x62861)+~P1(f319(f319(f226(a925),x62862),x62861)) % 219.21/219.52 [6357]E(f319(f319(f30(a925),f319(f319(f75(a925),x63571),x63572)),x63572),x63571)+~P1(f319(f319(f227(a925),f2(a925)),x63572)) % 219.21/219.52 [6358]E(f319(f319(f30(a925),f319(f319(f75(a925),x63581),x63582)),x63581),x63582)+~P1(f319(f319(f227(a925),f2(a925)),x63581)) % 219.21/219.52 [6362]~P79(x63621)+E(f319(f319(f6(a925,x63621),f319(f156(x63621),x63622)),f319(f294(a925,f2(a925)),f319(f181(f926(x63621)),x63622))),f319(f157(x63621),x63622)) % 219.21/219.52 [6471]E(f39(a925,f319(a104,f319(f319(f75(a925),x64711),x64712)),x64711),f72(a925))+~P1(f319(f319(f227(a925),f72(a925)),x64711)) % 219.21/219.52 [6477]E(f319(a104,f319(f319(f74(a925),f319(f95(a925),x64771)),x64772)),f319(f319(f74(a925),f72(a925)),x64772))+~P1(f319(a185,f319(f95(a1),x64771))) % 219.21/219.52 [6506]E(f319(a96,f319(f319(f236(a1),f319(f95(a1),x65061)),x65062)),f319(f319(f236(a925),f319(f95(a925),x65061)),x65062))+P1(f319(a185,f319(f95(a1),x65061))) % 219.21/219.52 [6750]E(f319(f319(f23(a925),x67501),f319(f95(a925),f319(f319(f74(a1),x67502),a89))),f319(f319(f23(a925),f319(a104,x67501)),f319(f95(a925),x67502)))+~P1(f319(f319(f227(a1),a77),x67502)) % 219.21/219.52 [6833]E(x68331,f2(a925))+E(f319(a104,f319(f319(f74(a925),f319(f319(f23(a925),x68331),f72(a925))),x68332)),f319(f319(f74(a925),x68331),x68332)) % 219.21/219.52 [6874]E(x68741,f2(a1))+P1(f319(f319(f227(a1),f2(a1)),f319(f319(f236(a1),f319(f69(a1),x68741)),x68742))) % 219.21/219.52 [6890]~E(x68902,f2(a925))+P1(f319(f319(f227(a1),f2(a1)),f319(f319(f236(a1),f319(f69(a1),x68901)),x68902))) % 219.21/219.52 [6930]E(x69301,f2(a925))+E(f319(f319(f74(a925),x69302),f319(f319(f75(a925),f319(f319(f23(a925),x69301),f72(a925))),x69302)),f319(f319(f75(a925),x69301),x69302)) % 219.21/219.52 [6976]~P1(f319(f319(f226(a1),x69761),x69762))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x69761),a89)),x69762)) % 219.21/219.52 [7107]E(f319(f319(f143(a925),x71071),f131(a925,f319(f294(a925,f319(a104,x71071)),x71072))),f131(a925,f319(f294(a925,x71071),x71072)))+~P1(f319(f319(f227(a925),x71071),x71072)) % 219.21/219.52 [7307]E(x73071,x73072)+~E(f319(f319(f23(a1),f319(f319(f74(a1),x73071),x73071)),a89),f319(f319(f23(a1),f319(f319(f74(a1),x73072),x73072)),a89)) % 219.21/219.52 [7310]E(x73101,f105(x73102))+E(f258(x73102,f319(f319(f146(x73102,f931(a91,x73102)),f319(f244(a91,x73102),f72(a91))),x73101)),f267(x73102,x73101)) % 219.21/219.52 [7546]P1(f319(f319(f226(a1),x75461),x75462))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),x75461),a89)),x75462)) % 219.21/219.52 [8011]~P1(f319(f319(f227(a925),x80111),x80112))+P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),x80111),x80112)),a232)) % 219.21/219.52 [8235]~P1(f319(f319(f227(a91),f2(a91)),x82351))+P1(f319(f319(f227(a91),f319(f243(a91,f931(a91,a91)),f319(f259(x82351),x82352))),x82351)) % 219.21/219.52 [8499]~P39(x84991,x84992)+P39(x84991,f319(f319(f102(f932(f931(x84991,x84991),a923)),x84992),f299(x84991,f180(f932(f931(x84991,x84991),a923))))) % 219.21/219.52 [8500]~P40(x85001,x85002)+P40(x85001,f319(f319(f102(f932(f931(x85001,x85001),a923)),x85002),f299(x85001,f180(f932(f931(x85001,x85001),a923))))) % 219.21/219.52 [8550]~P92(x85501)+P1(f319(f319(f226(x85501),f319(f69(x85501),f319(f157(x85501),x85502))),f319(f157(x85501),f319(f319(f146(x85501,x85501),f69(x85501)),x85502)))) % 219.21/219.52 [8575]P1(f319(f319(f227(a925),x85751),x85752))+~P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),x85751),x85752)),a232)) % 219.21/219.52 [8727]E(f319(f319(f244(x87271,x87271),f648(x87272,x87271)),f648(x87272,x87271)),x87272)+~P1(f319(f319(f321(f931(x87271,x87271)),x87272),f299(x87271,f180(f932(f931(x87271,x87271),a923))))) % 219.21/219.52 [8770]E(f319(f294(a925,x87701),f319(f319(f74(a925),x87701),f319(f29(a925),x87702))),x87702)+~P1(f319(f319(f226(f932(a925,a923)),x87702),f319(f294(a925,x87701),f319(f319(f74(a925),x87701),f319(f29(a925),x87702))))) % 219.21/219.52 [9002]P40(x90021,x90022)+~P40(x90021,f319(f319(f102(f932(f931(x90021,x90021),a923)),x90022),f299(x90021,f180(f932(f931(x90021,x90021),a923))))) % 219.21/219.52 [9129]E(f319(f319(f30(a1),f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),x91291),x91291)),a89))),f319(f95(a1),f319(f319(f74(a1),x91292),x91292))),f319(f319(f30(a1),f319(f95(a1),x91291)),f319(f95(a1),x91292)))+~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x91292))) % 219.21/219.52 [9224]~P39(x92241,x92242)+P1(f319(f319(f226(f932(f931(x92241,x92241),a923)),f319(f319(f281(x92241,x92241,x92241),x92242),x92242)),x92242)) % 219.21/219.52 [9250]E(f169(f926(x92501),f319(f319(f8(a923,a923,f926(x92501)),a314),f319(f319(f7(f926(x92501),f926(x92501),a923),a316),f105(x92501))),x92502),f171(x92501,f171(x92501,x92502)))+~P14(a925,f319(f160(a925),f319(f319(f146(f926(x92501),a925),f181(f926(x92501))),x92502))) % 219.21/219.52 [9253]E(f319(f319(f30(a1),f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),x92531),x92531)),a89))),f319(f95(a1),f319(f319(f74(a1),x92532),x92532))),f319(f319(f30(a1),f319(f319(f74(a1),f319(f95(a1),x92531)),f72(a1))),f319(f95(a1),x92532)))+P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x92532))) % 219.21/219.52 [10121]P1(f319(a185,x101212))+E(f319(f319(f80(a1,a925),f319(f319(f23(a1),x101211),x101212)),f319(f319(f18(a1,a925,a925),f319(f319(f7(a1,a925,f932(a925,a925)),f319(f319(f8(a923,f932(a925,f932(a925,a925)),a1),f86(a925)),a185)),f2(a925))),a96)),f319(f319(f23(a925),f319(a96,x101211)),f319(a96,x101212))) % 219.21/219.52 [10129]E(f319(f319(f80(a1,a925),f319(f95(a1),f319(f319(f74(a1),x101291),f319(f73(a1),x101292)))),f319(f319(f18(a1,a925,a925),f319(f319(f7(a1,a925,f932(a925,a925)),f319(f319(f8(a923,f932(a925,f932(a925,a925)),a1),f86(a925)),a185)),f2(a925))),a96)),f319(f319(f23(a925),f319(f95(a925),x101291)),f319(f95(a925),x101292)))+P1(f319(f319(f227(a1),x101292),a77)) % 219.21/219.52 [10130]~P28(x101301,x101302)+P1(f319(f319(f226(f932(f931(x101301,x101301),a923)),f319(f319(f281(x101301,x101301,x101301),f319(f243(f932(f931(x101301,x101301),a923),f932(f931(x101301,x101301),a923)),x101302)),f319(f248(f932(f931(x101301,x101301),a923),f932(f931(x101301,x101301),a923)),x101302))),f319(f243(f932(f931(x101301,x101301),a923),f932(f931(x101301,x101301),a923)),x101302))) % 219.21/219.52 [10185]~E(f319(f29(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,f932(a925,a923),a923),f321(a925)),x101851))),f319(f319(f7(a925,a925,a923),f227(a925)),f319(a104,x101852))))),f2(a925))+~P1(f319(f319(f321(a925),f2(a925)),x101851)) % 219.21/219.52 [10199]E(f291(a925,f319(f319(f18(a925,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),a925),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),a925),f319(f8(a923,f932(a923,a923),a925),a317)),f279(a925)))),f319(f319(f8(f932(a925,a923),f932(a925,a923),a925),f319(f8(a923,a923,a925),a314)),f319(f7(a925,a925,a923),f279(a925)))),x101991,x101992),f180(f932(a925,a923)))+~P1(f319(f319(f279(a925),x101992),x101991)) % 219.21/219.52 [10203]E(f292(a925,f279(a925),f319(f319(f18(a925,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),a925),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),a925),f319(f8(a923,f932(a923,a923),a925),a317)),f279(a925)))),f319(f319(f8(f932(a925,a923),f932(a925,a923),a925),f319(f8(a923,a923,a925),a314)),f319(f7(a925,a925,a923),f279(a925)))),x102031,x102032),f180(f932(a925,a923)))+P1(f319(f319(f279(a925),x102031),x102032)) % 219.21/219.52 [10204]E(f289(a925,f279(a925),f319(f319(f18(a925,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),a925),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),a925),f319(f8(a923,f932(a923,a923),a925),a317)),f279(a925)))),f319(f319(f8(f932(a925,a923),f932(a925,a923),a925),f319(f8(a923,a923,a925),a314)),f319(f7(a925,a925,a923),f279(a925)))),x102041,x102042),f180(f932(a925,a923)))+P1(f319(f319(f279(a925),x102041),x102042)) % 219.21/219.52 [10207]E(f292(a925,f279(a925),f319(f319(f18(a925,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),a925),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),a925),f319(f8(a923,f932(a923,a923),a925),a317)),f279(a925)))),f319(f319(f8(f932(a925,a923),f932(a925,a923),a925),f319(f8(a923,a923,a925),a314)),f319(f7(a925,a925,a923),f279(a925)))),x102071,x102072),f180(f932(a925,a923)))+~P1(f319(f319(f279(a925),x102072),x102071)) % 219.21/219.52 [10209]E(f289(a925,f279(a925),f319(f319(f18(a925,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),a925),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),a925),f319(f8(a923,f932(a923,a923),a925),a317)),f279(a925)))),f319(f319(f8(f932(a925,a923),f932(a925,a923),a925),f319(f8(a923,a923,a925),a314)),f319(f7(a925,a925,a923),f279(a925)))),x102091,x102092),f180(f932(a925,a923)))+~P1(f319(f319(f279(a925),x102092),x102091)) % 219.21/219.52 [10254]E(f39(a1,f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),x102541),x102541)),a89)),f319(f95(a1),f319(f319(f74(a1),x102542),x102542))),f319(f319(f74(a1),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f39(a1,f319(f95(a1),x102541),f319(f95(a1),x102542)))),f72(a1)))+~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x102542))) % 219.21/219.52 [10263]E(f39(a1,f319(f95(a1),f319(f319(f23(a1),f319(f319(f74(a1),x102631),x102631)),a89)),f319(f95(a1),f319(f319(f74(a1),x102632),x102632))),f319(f319(f23(a1),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f39(a1,f319(f319(f74(a1),f319(f95(a1),x102631)),f72(a1)),f319(f95(a1),x102632)))),f72(a1)))+P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x102632))) % 219.21/219.52 [10319]~P6(x103191)+E(f31(x103191,f319(f254(x103191),f319(f319(f8(f932(x103191,a923),a923,x103191),f82(x103191)),f319(f319(f8(f932(x103191,a923),f932(x103191,a923),x103191),f319(f18(x103191,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103191),a322),f319(f319(f7(x103191,f932(x103191,a923),a923),f321(x103191)),x103192)))),f226(x103191))))),f32(x103191,x103192)) % 219.21/219.52 [10344]~P38(x103441,x103442)+P64(x103441,f319(f319(f7(x103441,f932(f931(x103441,x103441),a923),f932(x103441,a923)),f319(f319(f8(f932(x103441,f932(f932(f931(x103441,x103441),a923),a923)),f932(f932(f931(x103441,x103441),a923),f932(x103441,a923)),x103441),f7(x103441,f932(f931(x103441,x103441),a923),a923)),f319(f319(f8(f932(x103441,f931(x103441,x103441)),f932(x103441,f932(f932(f931(x103441,x103441),a923),a923)),x103441),f319(f8(f931(x103441,x103441),f932(f932(f931(x103441,x103441),a923),a923),x103441),f321(f931(x103441,x103441)))),f244(x103441,x103441)))),x103442)) % 219.21/219.52 [10345]~P9(x103451,f234(f932(x103451,a923)),x103452)+P8(x103451,f319(f319(f7(x103451,f932(f931(x103451,x103451),a923),f932(x103451,a923)),f319(f319(f8(f932(x103451,f932(f932(f931(x103451,x103451),a923),a923)),f932(f932(f931(x103451,x103451),a923),f932(x103451,a923)),x103451),f7(x103451,f932(f931(x103451,x103451),a923),a923)),f319(f319(f8(f932(x103451,f931(x103451,x103451)),f932(x103451,f932(f932(f931(x103451,x103451),a923),a923)),x103451),f319(f8(f931(x103451,x103451),f932(f932(f931(x103451,x103451),a923),a923),x103451),f321(f931(x103451,x103451)))),f244(x103451,x103451)))),x103452)) % 219.21/219.52 [10387]P38(x103871,x103872)+~P64(x103871,f319(f319(f7(x103871,f932(f931(x103871,x103871),a923),f932(x103871,a923)),f319(f319(f8(f932(x103871,f932(f932(f931(x103871,x103871),a923),a923)),f932(f932(f931(x103871,x103871),a923),f932(x103871,a923)),x103871),f7(x103871,f932(f931(x103871,x103871),a923),a923)),f319(f319(f8(f932(x103871,f931(x103871,x103871)),f932(x103871,f932(f932(f931(x103871,x103871),a923),a923)),x103871),f319(f8(f931(x103871,x103871),f932(f932(f931(x103871,x103871),a923),a923),x103871),f321(f931(x103871,x103871)))),f244(x103871,x103871)))),x103872)) % 219.21/219.52 [10388]P9(x103881,f234(f932(x103881,a923)),x103882)+~P8(x103881,f319(f319(f7(x103881,f932(f931(x103881,x103881),a923),f932(x103881,a923)),f319(f319(f8(f932(x103881,f932(f932(f931(x103881,x103881),a923),a923)),f932(f932(f931(x103881,x103881),a923),f932(x103881,a923)),x103881),f7(x103881,f932(f931(x103881,x103881),a923),a923)),f319(f319(f8(f932(x103881,f931(x103881,x103881)),f932(x103881,f932(f932(f931(x103881,x103881),a923),a923)),x103881),f319(f8(f931(x103881,x103881),f932(f932(f931(x103881,x103881),a923),a923),x103881),f321(f931(x103881,x103881)))),f244(x103881,x103881)))),x103882)) % 219.21/219.52 [7495]E(f319(f319(f74(a925),f319(f95(a925),f319(f319(f23(a1),x74951),a89))),x74952),f319(a104,f319(f319(f74(a925),f319(f95(a925),x74951)),x74952)))+P1(f319(a185,f319(f95(a1),x74951))) % 219.21/219.52 [7929]~P99(x79291)+E(f319(f319(f74(x79291),f319(f319(f74(x79291),f72(x79291)),f319(f95(x79291),x79292))),f319(f95(x79291),x79292)),f319(f95(x79291),f319(f319(f23(a1),f319(f319(f74(a1),x79292),x79292)),a89))) % 219.21/219.52 [8577]~P1(f319(f319(f226(a1),x85771),x85772))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x85771),x85771)),f319(f319(f23(a1),f319(f319(f74(a1),x85772),x85772)),a89))) % 219.21/219.52 [8579]~P1(f319(f319(f226(a1),x85791),x85792))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x85791),x85791)),f319(f319(f23(a1),f319(f319(f74(a1),x85792),x85792)),a89))) % 219.21/219.52 [9013]P1(f319(f319(f226(a1),x90131),x90132))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),x90131),x90131)),f319(f319(f23(a1),f319(f319(f74(a1),x90132),x90132)),a89))) % 219.21/219.52 [9015]P1(f319(f319(f226(a1),x90151),x90152))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),x90151),x90151)),f319(f319(f23(a1),f319(f319(f74(a1),x90152),x90152)),a89))) % 219.21/219.52 [9310]~P1(f319(f319(f226(a1),x93101),x93102))+P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93101),x93101)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),x93102),x93102)),a89))) % 219.21/219.52 [9312]~P1(f319(f319(f227(a1),x93121),x93122))+P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x93121),x93121)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),x93122),x93122)),a89))) % 219.21/219.52 [9585]P1(f319(f319(f226(a1),x95851),x95852))+~P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),x95851),x95851)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),x95852),x95852)),a89))) % 219.21/219.52 [9587]P1(f319(f319(f227(a1),x95871),x95872))+~P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),x95871),x95871)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),x95872),x95872)),a89))) % 219.21/219.52 [9620]~P1(f319(f55(x96201),x96202))+P1(f319(f55(f932(x96201,a923)),f319(f254(f932(x96201,a923)),f319(f319(f7(f932(x96201,a923),f932(x96201,a923),a923),f226(f932(x96201,a923))),x96202)))) % 219.21/219.52 [9672]~E(f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),x96721),f180(f932(f931(a925,a925),a923)))),f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),x96722),f180(f932(f931(a925,a925),a923)))))+P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),x96721),x96722)),a100)) % 219.21/219.52 [9759]E(f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),x97591),f180(f932(f931(a925,a925),a923)))),f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),x97592),f180(f932(f931(a925,a925),a923)))))+~P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),x97591),x97592)),a100)) % 219.21/219.52 [9797]P1(f319(f319(f226(a1),f2(a1)),f663(x97971,x97972)))+E(f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x97971)),f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x97972))) % 219.21/219.52 [10328]~P6(x103281)+E(f32(x103281,f319(f254(x103281),f319(f319(f8(f932(x103281,a923),a923,x103281),f82(x103281)),f319(f319(f8(f932(x103281,a923),f932(x103281,a923),x103281),f319(f18(x103281,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103281),a322),f319(f319(f7(x103281,f932(x103281,a923),a923),f321(x103281)),x103282)))),f319(f7(x103281,x103281,a923),f226(x103281)))))),f31(x103281,x103282)) % 219.21/219.52 [10350]P1(f319(f319(f321(a925),f2(a925)),x103501))+E(f319(f29(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,f932(a925,a923),a923),f319(f319(f8(a925,f932(f932(a925,a923),a923),a925),f321(a925)),a104)),x103501))),f319(f319(f7(a925,a925,a923),f227(a925)),x103502)))),f319(f29(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,f932(a925,a923),a923),f321(a925)),x103501))),f319(f319(f7(a925,a925,a923),f227(a925)),f319(a104,x103502)))))) % 219.21/219.52 [7797]~P99(x77971)+E(f319(f319(f75(x77971),x77972),f319(f95(x77971),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),x77972) % 219.21/219.52 [8060]~P99(x80601)+E(f319(f319(f74(x80601),f319(f95(x80601),x80602)),f72(x80601)),f319(f95(x80601),f319(f319(f74(a1),x80602),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))) % 219.21/219.52 [8206]P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x82062)))+E(f319(f319(f236(a1),x82061),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),x82062),x82062)),a89))),f72(a1)) % 219.21/219.52 [9647]~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x96472)))+E(f319(f319(f236(a1),x96471),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),x96472),x96472)),a89))),f319(f319(f80(a1,a1),f319(f319(f236(a1),x96471),f319(f95(a925),x96472))),f319(f319(f18(a1,a1,a1),f319(f319(f8(a1,f932(a1,a1),a1),f75(a1)),f319(f75(a1),x96471))),f5(a1)))) % 219.21/219.52 [10035]~P1(f319(f319(f226(a925),f673(x100352,x100351)),f319(x100351,f673(x100352,x100351))))+P1(f319(f55(a925),f319(f254(a925),f319(f319(f7(a925,a925,a923),f319(f319(f8(a925,f932(a925,a923),a925),f226(a925)),x100351)),x100352)))) % 219.21/219.52 [10175]~P1(f319(f319(f226(a925),f319(f95(a925),x101751)),f319(a104,x101752)))+P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x101751),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),f226(a925)),a96)),x101752)))) % 219.21/219.52 [10176]~P1(f319(f319(f227(a925),f319(f95(a925),x101761)),f319(a104,x101762)))+P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x101761),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),f227(a925)),a96)),x101762)))) % 219.21/219.52 [10238]P1(f319(f319(f226(a925),f319(f95(a925),x102381)),f319(a104,x102382)))+~P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x102381),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),f226(a925)),a96)),x102382)))) % 219.21/219.52 [10239]P1(f319(f319(f227(a925),f319(f95(a925),x102391)),f319(a104,x102392)))+~P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x102391),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),f227(a925)),a96)),x102392)))) % 219.21/219.52 [10269]~P1(f319(f319(f226(a925),f319(a104,x102692)),f319(f95(a925),x102691)))+P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x102691),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f8(a925,a923,a1),f319(f226(a925),x102692)),a96))))) % 219.21/219.52 [10270]~P1(f319(f319(f227(a925),f319(a104,x102702)),f319(f95(a925),x102701)))+P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x102701),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f8(a925,a923,a1),f319(f227(a925),x102702)),a96))))) % 219.21/219.52 [10317]P1(f319(f319(f226(a925),f319(a104,x103171)),f319(f95(a925),x103172)))+~P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x103172),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f8(a925,a923,a1),f319(f226(a925),x103171)),a96))))) % 219.21/219.52 [10318]P1(f319(f319(f227(a925),f319(a104,x103181)),f319(f95(a925),x103182)))+~P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x103182),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f8(a925,a923,a1),f319(f227(a925),x103181)),a96))))) % 219.21/219.52 [10397]~P1(f319(f319(f321(a925),f2(a925)),x103971))+E(f319(a104,f319(f29(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,f932(a925,a923),a923),f319(f319(f8(a925,f932(f932(a925,a923),a923),a925),f321(a925)),a104)),x103971))),f319(f319(f7(a925,a925,a923),f227(a925)),x103972))))),f319(f29(a925),f319(f254(a925),f319(f319(f18(a925,a923,a923),f319(f319(f8(a923,f932(a923,a923),a925),a317),f319(f319(f7(a925,f932(a925,a923),a923),f321(a925)),x103971))),f319(f319(f7(a925,a925,a923),f227(a925)),f319(a104,x103972)))))) % 219.21/219.52 [8753]~P99(x87531)+E(f319(f319(f75(x87531),f319(f95(x87531),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),x87532),x87532) % 219.21/219.52 [8815]~P99(x88151)+E(f319(f319(f74(x88151),f72(x88151)),f319(f95(x88151),x88152)),f319(f95(x88151),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),x88152))) % 219.21/219.52 [8877]~P99(x88771)+E(f319(f319(f23(x88771),f319(f95(x88771),x88772)),f72(x88771)),f319(f95(x88771),f319(f319(f74(a1),x88772),f319(f73(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.21/219.52 [9032]~P1(f319(f319(f227(a925),f319(f95(a925),a77)),x90322))+E(f319(f319(f23(a925),x90321),f319(f319(f23(a925),x90322),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f23(a925),f319(a104,x90321)),x90322)) % 219.21/219.52 [9690]~P121(x96901)+E(f319(f319(f75(x96901),x96902),x96902),f319(f319(f236(x96901),x96902),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.21/219.52 [9691]~P87(x96911)+E(f319(f319(f236(x96911),x96912),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f75(x96911),x96912),x96912)) % 219.21/219.52 [9693]~P99(x96931)+E(f319(f319(f75(x96931),x96932),f319(f95(x96931),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f74(x96931),x96932),x96932)) % 219.21/219.52 [9941]~P145(x99411)+E(f319(f319(f236(x99411),f319(f73(x99411),x99412)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f236(x99411),x99412),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.21/219.52 [9942]~P126(x99421)+E(f319(f319(f236(x99421),f319(f69(x99421),x99422)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f236(x99421),x99422),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.21/219.52 [9938]~P99(x99381)+E(f319(f319(f75(x99381),f319(f95(x99381),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x99382),f319(f319(f74(x99381),x99382),x99382)) % 219.21/219.52 [10070]~P126(x100701)+E(f319(f69(x100701),f319(f319(f236(x100701),x100702),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x100701),x100702),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.21/219.52 [10137]~P126(x101371)+P1(f319(f319(f226(x101371),f2(x101371)),f319(f319(f236(x101371),x101372),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.21/219.52 [10308]~E(f319(a104,x103082),f319(f95(a925),x103081))+P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x103081),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),a316),a96)),x103082))))) % 219.21/219.52 [10309]~E(f319(f95(a925),x103091),f319(a104,x103092))+P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x103091),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),a316),a96)),x103092))))) % 219.21/219.52 [10353]E(f319(a104,x103531),f319(f95(a925),x103532))+~P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x103532),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),a316),a96)),x103531))))) % 219.21/219.52 [10354]E(f319(f95(a925),x103541),f319(a104,x103542))+~P1(f319(f319(f80(a1,a923),f319(f95(a1),f319(f319(f74(a1),x103541),a89))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a322),f319(f319(f8(a923,a923,a1),a314),a185))),f319(f319(f7(a1,a925,a923),f319(f319(f8(a925,f932(a925,a923),a1),a316),a96)),x103542))))) % 219.21/219.52 [10398]~P16(x103981,x103982)+P1(f319(f319(f321(f932(x103981,a923)),f830(x103982,x103981)),f319(f319(f8(f932(x103981,a923),a923,f932(x103981,a923)),f81(x103981)),f319(f319(f8(f932(x103981,a923),f932(x103981,a923),f932(x103981,a923)),f319(f18(x103981,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103981),a317),f319(f319(f18(x103981,x103981,a923),x103982),f5(x103981))))),f319(f319(f7(f932(x103981,a923),f932(x103981,f932(x103981,a923)),f932(x103981,a923)),f319(f319(f8(f932(f932(x103981,a923),a923),f932(f932(x103981,f932(x103981,a923)),f932(x103981,a923)),f932(x103981,a923)),f8(f932(x103981,a923),a923,x103981)),a316)),x103982))))) % 219.21/219.52 [10135]~P99(x101351)+E(f319(f319(f236(x101351),f319(f95(x101351),a89)),f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x101352)),f72(x101351)) % 219.21/219.52 [10136]~P145(x101361)+E(f319(f319(f236(x101361),f319(f73(x101361),f72(x101361))),f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x101362)),f72(x101361)) % 219.21/219.52 [10139]~P87(x101391)+E(f319(f319(f236(x101391),x101392),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),a89))),f319(f319(f75(x101391),f319(f319(f75(x101391),x101392),x101392)),x101392)) % 219.21/219.52 [10333]~P1(f319(f319(f226(a1),f2(a1)),x103332))+E(f39(a1,f319(f319(f74(a1),f72(a1)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103331)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103332)),f319(f319(f74(a1),f72(a1)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f39(a1,x103331,x103332)))) % 219.21/219.52 [10356]~P1(f319(f319(f226(a1),f2(a1)),x103562))+E(f319(f319(f30(a1),f319(f319(f74(a1),f72(a1)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103561))),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103562)),f319(f319(f30(a1),x103561),x103562)) % 219.21/219.52 [10358]~P1(f319(f319(f226(a1),x103582),f2(a1)))+E(f319(f319(f30(a1),f319(f319(f74(a1),f72(a1)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103581))),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103582)),f319(f319(f30(a1),f319(f319(f74(a1),x103581),f72(a1))),x103582)) % 219.21/219.52 [10359]~P1(f319(f319(f226(a1),x103592),f2(a1)))+E(f39(a1,f319(f319(f74(a1),f72(a1)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103591)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103592)),f319(f319(f23(a1),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f39(a1,f319(f319(f74(a1),x103591),f72(a1)),x103592))),f72(a1))) % 219.21/219.52 [10229]~P99(x102291)+E(f319(f319(f236(x102291),f319(f95(x102291),a89)),f319(a104,f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102292))),f319(f95(x102291),a89)) % 219.21/219.52 [10231]~P145(x102311)+E(f319(f319(f236(x102311),f319(f73(x102311),f72(x102311))),f319(a104,f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102312))),f319(f73(x102311),f72(x102311))) % 219.21/219.52 [5150]P39(x51501,x51502)+~P9(x51501,x51503,x51502) % 219.21/219.52 [5152]P56(x51521,x51522)+~P9(x51521,x51523,x51522) % 219.21/219.52 [5326]~P9(x53261,x53262,x53263)+P57(x53261,x53262,x53263) % 219.21/219.52 [8273]~E(x82732,x82733)+P35(x82731,x82731,a316,x82732,x82733) % 219.21/219.52 [8828]E(x88281,x88282)+~P35(x88283,x88283,a316,x88281,x88282) % 219.21/219.52 [4957]E(f161(x49571,x49572,x49573),f105(x49571))+~E(x49572,f2(a925)) % 219.21/219.52 [5125]~E(f161(x51252,x51251,x51253),f105(x51252))+E(x51251,f2(a925)) % 219.21/219.52 [5331]~P38(x53311,x53313)+P38(x53311,f313(x53311,x53312,x53313)) % 219.21/219.52 [5443]~P30(x54431,x54432,x54433)+P32(a1,x54431,f170(x54432,x54433)) % 219.21/219.52 [5509]P30(x55091,x55092,x55093)+~P32(a1,x55091,f170(x55092,x55093)) % 219.21/219.52 [5580]~P9(x55801,x55802,x55803)+P9(f926(x55801),f153(x55801,x55802),f150(x55801,x55803)) % 219.21/219.52 [5581]~P57(x55811,x55812,x55813)+P57(f926(x55811),f153(x55811,x55812),f150(x55811,x55813)) % 219.21/219.52 [5692]P59(x56921,x56922,x56923)+~E(f610(x56923,x56922,x56921),f611(x56923,x56922,x56921)) % 219.21/219.52 [5693]P60(x56931,x56932,x56933)+~E(f626(x56933,x56932,x56931),f627(x56933,x56932,x56931)) % 219.21/219.52 [8279]~E(x82792,x82793)+P27(x82791,x82791,f25(x82791),x82792,x82793) % 219.21/219.52 [8836]E(x88361,x88362)+~P27(x88363,x88363,f25(x88363),x88361,x88362) % 219.21/219.52 [4912]~E(f319(f160(x49122),x49121),x49123)+E(x49121,f319(f160(x49122),x49123)) % 219.21/219.52 [4913]~E(x49132,f319(f160(x49131),x49133))+E(f319(f160(x49131),x49132),x49133) % 219.21/219.52 [4963]E(x49631,x49632)+~E(f319(f160(x49633),x49631),f319(f160(x49633),x49632)) % 219.21/219.52 [5176]~P8(x51763,x51761)+P1(f319(f319(x51761,x51762),x51762)) % 219.21/219.52 [5177]~P50(x51773,x51771)+P1(f319(f319(x51771,x51772),x51772)) % 219.21/219.52 [5179]~P64(x51791,x51792)+P1(f319(f307(x51791,x51792),x51793)) % 219.21/219.52 [5243]~P38(x52431,x52432)+P38(f926(x52431),f319(f135(x52431,x52432),x52433)) % 219.21/219.52 [5248]~P1(f319(x52482,x52483))+~E(f319(f254(x52481),x52482),f180(f932(x52481,a923))) % 219.21/219.52 [5249]~P1(f319(x52492,x52493))+~E(f180(f932(x52491,a923)),f319(f254(x52491),x52492)) % 219.21/219.52 [5261]E(x52611,f2(a925))+E(f136(x52612,f161(x52612,x52611,x52613)),x52613) % 219.21/219.52 [5280]~P1(f319(x52801,x52803))+P1(f319(x52801,f84(x52802,x52801))) % 219.21/219.52 [5281]~P1(f319(x52811,x52813))+P1(f319(x52811,f756(x52811,x52812))) % 219.21/219.52 [5293]E(x52931,f2(a925))+E(f319(f133(x52932),f161(x52932,x52931,x52933)),x52933) % 219.21/219.52 [5406]~E(x54062,x54063)+P1(f319(f319(f321(x54061),x54062),f319(a316,x54063))) % 219.21/219.52 [5421]~E(x54212,f2(a925))+E(f319(f164(x54211),f161(x54211,x54212,x54213)),f180(f932(x54211,a923))) % 219.21/219.52 [5465]E(f319(f160(x54651),x54652),f319(f319(f143(x54651),x54653),f105(x54651)))+~E(x54652,f319(f319(f143(x54651),x54653),f105(x54651))) % 219.21/219.52 [5466]~E(x54663,f319(f319(f143(x54661),x54662),f105(x54661)))+E(f319(f319(f143(x54661),x54662),f105(x54661)),f319(f160(x54661),x54663)) % 219.21/219.52 [5505]~P34(x55051,x55052,x55053)+P34(x55051,x55052,f319(f160(x55051),x55053)) % 219.21/219.52 [5506]~P32(x55061,x55062,x55063)+P32(x55061,x55062,f319(f160(x55061),x55063)) % 219.21/219.52 [5510]E(f319(f29(x55101),f328(x55102,x55103,x55101)),x55102)+~E(f319(f29(x55101),x55103),f319(a104,x55102)) % 219.21/219.52 [5517]~P38(x55171,x55173)+P1(f319(f319(f321(x55171),x55172),f308(x55171,x55173))) % 219.21/219.52 [5521]~E(f319(f160(x55212),x55211),f319(f319(f143(x55212),x55213),f105(x55212)))+E(x55211,f319(f319(f143(x55212),x55213),f105(x55212))) % 219.21/219.52 [5522]~E(f319(f319(f143(x55222),x55223),f105(x55222)),f319(f160(x55222),x55221))+E(x55221,f319(f319(f143(x55222),x55223),f105(x55222))) % 219.21/219.52 [5545]E(f79(f931(a925,a925),f42(x55451,x55452)),x55453)+~P1(f319(f42(x55451,x55452),x55453)) % 219.21/219.52 [5584]P34(x55841,x55842,x55843)+~P34(x55841,x55842,f319(f160(x55841),x55843)) % 219.21/219.52 [5585]P32(x55851,x55852,x55853)+~P32(x55851,x55852,f319(f160(x55851),x55853)) % 219.21/219.52 [5623]P1(f319(f319(x56231,x56232),x56232))+~P1(f319(f262(x56233,x56231),x56232)) % 219.21/219.52 [5624]~P1(f319(f319(x56242,x56243),x56243))+P1(f319(f262(x56241,x56242),x56243)) % 219.21/219.52 [5646]~E(x56462,f105(x56461))+P1(f319(f319(f321(f926(x56461)),x56462),f153(x56461,x56463))) % 219.21/219.52 [5655]~P57(x56551,x56552,x56553)+P57(x56551,x56552,f319(f278(x56551,x56551),x56553)) % 219.21/219.52 [5656]~P60(x56561,x56562,x56563)+P60(x56561,x56562,f319(f278(x56561,x56561),x56563)) % 219.21/219.52 [5673]~P65(x56731)+E(f39(x56731,f39(x56731,x56732,x56733),x56733),f39(x56731,x56732,x56733)) % 219.21/219.52 [5774]E(x57741,x57742)+~P1(f319(f319(f321(x57743),x57741),f319(a316,x57742))) % 219.21/219.52 [5820]~P149(x58201)+E(f182(x58201,x58202,f2(a925),x58203),x58203) % 219.21/219.52 [5842]P57(x58421,x58422,x58423)+~P57(x58421,x58422,f319(f278(x58421,x58421),x58423)) % 219.21/219.52 [5843]P60(x58431,x58432,x58433)+~P60(x58431,x58432,f319(f278(x58431,x58431),x58433)) % 219.21/219.52 [5847]~P4(x58472)+E(f142(x58471,x58472,x58473,f105(x58471)),f105(x58471)) % 219.21/219.52 [5860]E(f162(x58601,x58602,f144(x58601,x58603)),f144(x58601,f162(x58601,x58602,x58603)))+~P1(f319(f129(x58601),x58603)) % 219.21/219.52 [5959]~P1(f319(f319(x59593,x59592),x59592))+P1(f319(f319(f321(x59591),x59592),f262(x59591,x59593))) % 219.21/219.52 [5961]E(f319(f128(x59611,x59612),x59613),f105(x59611))+P1(f319(x59612,f695(x59613,x59612,x59611))) % 219.21/219.52 [6020]E(f62(x60201,x60202,x60203),x60202)+P1(f319(x60203,f757(x60202,x60201,x60203))) % 219.21/219.52 [6118]~P1(f319(f129(x61181),x61182))+P1(f319(f129(x61181),f168(x61181,x61182,x61183))) % 219.21/219.52 [6119]~P1(f319(f129(x61191),x61193))+P1(f319(f129(x61191),f162(x61191,x61192,x61193))) % 219.21/219.52 [6120]~P1(f319(f129(x61201),x61203))+P1(f319(f129(x61201),f169(x61201,x61202,x61203))) % 219.21/219.52 [6121]~P1(f319(f129(x61211),x61213))+P1(f319(f129(x61211),f132(x61211,x61212,x61213))) % 219.21/219.52 [6122]~P151(x61221,x61223,x61222)+P1(f319(x61221,f39(a1,x61222,x61223))) % 219.21/219.52 [6138]~P34(x61383,x61381,x61382)+P1(f319(x61381,f771(x61382,x61381,x61383))) % 219.21/219.52 [6139]~P36(x61393,x61391,x61392)+P1(f319(x61391,f775(x61392,x61391,x61393))) % 219.21/219.52 [6140]~P36(x61403,x61401,x61402)+P1(f319(x61401,f787(x61402,x61401,x61403))) % 219.21/219.52 [6141]~P34(x61413,x61411,x61412)+P1(f319(x61411,f814(x61412,x61411,x61413))) % 219.21/219.52 [6142]~P34(x61423,x61421,x61422)+P1(f319(x61421,f816(x61421,x61422,x61423))) % 219.21/219.52 [6147]P1(f319(f319(x61471,x61472),x61472))+~P1(f319(f319(f321(x61473),x61472),f262(x61473,x61471))) % 219.21/219.52 [6162]E(f319(f128(x61621,x61622),x61623),f169(x61621,x61622,x61623))+P1(f319(x61622,f743(x61623,x61622,x61621))) % 219.21/219.52 [6204]~P1(f319(f129(x62041),x62043))+P1(f319(f129(f926(x62041)),f49(x62041,x62042,x62043))) % 219.21/219.52 [6239]~P113(x62391)+E(f319(f319(f93(f932(x62391,a923)),f319(f274(x62391),x62392)),f295(x62391,x62392,x62393)),f180(f932(x62391,a923))) % 219.21/219.52 [6240]~P113(x62401)+E(f319(f319(f93(f932(x62401,a923)),f319(f293(x62401),x62402)),f297(x62401,x62402,x62403)),f180(f932(x62401,a923))) % 219.21/219.52 [6241]~P113(x62411)+E(f319(f319(f93(f932(x62411,a923)),f319(f293(x62411),x62412)),f298(x62411,x62412,x62413)),f180(f932(x62411,a923))) % 219.21/219.52 [6467]E(f319(f128(x64671,x64672),x64673),x64673)+~P1(f319(x64672,f726(x64673,x64672,x64671))) % 219.21/219.52 [6469]E(f319(f319(f301(x64691),f420(x64692,x64693,x64691)),f328(x64692,x64693,x64691)),x64693)+~E(f319(f29(x64691),x64693),f319(a104,x64692)) % 219.21/219.52 [6484]P151(x64841,x64842,x64843)+~P1(f319(x64841,f39(a1,x64843,x64842))) % 219.21/219.52 [6534]P32(x65341,x65342,x65343)+~P1(f319(x65342,f776(x65343,x65342,x65341))) % 219.21/219.52 [6535]P32(x65351,x65352,x65353)+~P1(f319(x65352,f785(x65352,x65353,x65351))) % 219.21/219.52 [6536]P32(x65361,x65362,x65363)+~P1(f319(x65362,f786(x65363,x65362,x65361))) % 219.21/219.52 [6537]P30(x65371,x65372,x65373)+~P1(f319(x65371,f801(x65373,x65372,x65371))) % 219.21/219.52 [6538]P31(x65381,x65382,x65383)+~P1(f319(x65381,f857(x65383,x65382,x65381))) % 219.21/219.52 [6540]E(f169(x65401,x65402,x65403),x65403)+~P1(f319(x65402,f739(x65403,x65402,x65401))) % 219.21/219.52 [6621]~P1(f319(x66212,f598(x66213,x66212,x66211)))+P1(f319(f240(x66211,x66212),x66213)) % 219.21/219.52 [6622]~P1(f319(x66222,f696(x66223,x66222,x66221)))+P1(f319(f152(x66221,x66222),x66223)) % 219.21/219.52 [6875]~P1(f319(f307(x68751,x68752),f524(x68753,x68752,x68751)))+P1(f319(f307(x68751,x68752),x68753)) % 219.21/219.52 [6876]~P1(f319(f307(x68761,x68762),f539(x68763,x68762,x68761)))+P1(f319(f307(x68761,x68762),x68763)) % 219.21/219.52 [7496]~P65(x74961)+E(f319(f319(f74(x74961),f319(f319(f75(x74961),x74962),f319(f319(f30(x74961),x74963),x74962))),f39(x74961,x74963,x74962)),x74963) % 219.21/219.52 [7526]P30(x75261,x75262,x75263)+P1(f319(f319(f321(a1),f801(x75263,x75262,x75261)),f295(a1,x75262,x75263))) % 219.21/219.52 [7950]E(f319(f319(f244(x79501,x79501),f555(x79502,x79503,x79501)),f555(x79502,x79503,x79501)),x79503)+~P1(f319(f319(f321(f931(x79501,x79501)),x79503),f255(x79501,x79502))) % 219.21/219.52 [8068]~P1(f319(f319(f321(x80681),f560(x80683,x80682,x80681)),f308(x80681,x80683)))+P1(f319(f319(f321(x80681),x80682),f308(x80681,x80683))) % 219.21/219.52 [8069]~P1(f319(f319(f321(x80691),f612(x80693,x80692,x80691)),f308(x80691,x80693)))+P1(f319(f319(f321(x80691),x80692),f308(x80691,x80693))) % 219.21/219.52 [8070]~P1(f319(f319(f321(x80701),f613(x80703,x80702,x80701)),f308(x80701,x80703)))+P1(f319(f319(f321(x80701),x80702),f308(x80701,x80703))) % 219.21/219.52 [8164]P34(a1,x81641,f170(x81642,x81643))+P30(f319(f66(a923,a923,a1,a314),x81641),x81642,x81643) % 219.21/219.52 [8254]~P65(x82541)+E(f319(f319(f74(x82541),f319(f319(f75(x82541),f319(f319(f30(x82541),x82542),x82543)),x82543)),f39(x82541,x82542,x82543)),x82542) % 219.21/219.52 [8301]~E(f319(f29(x83011),x83012),f319(a104,x83013))+~P1(f319(f319(f321(x83011),f420(x83013,x83012,x83011)),f328(x83013,x83012,x83011))) % 219.21/219.52 [8745]~P34(a1,x87451,f170(x87452,x87453))+~P30(f319(f66(a923,a923,a1,a314),x87451),x87452,x87453) % 219.21/219.52 [8933]P1(f319(f319(f226(f932(f931(x89331,x89331),a923)),f299(x89331,x89332)),f299(x89331,x89333)))+~P1(f319(f319(f226(f932(f931(x89331,x89331),a923)),x89332),f299(x89331,x89333))) % 219.21/219.52 [9220]E(x92201,f105(x92202))+~P1(f319(f319(f321(f931(f926(x92202),f926(x92202))),f319(f319(f244(f926(x92202),f926(x92202)),x92201),f105(x92202))),f150(x92202,x92203))) % 219.21/219.52 [9244]E(x92441,f105(x92442))+~P1(f319(f319(f321(f931(f926(x92442),f926(x92442))),f319(f319(f244(f926(x92442),f926(x92442)),f105(x92442)),x92441)),f150(x92442,x92443))) % 219.21/219.52 [9371]E(f319(f319(f143(x93711),f712(x93712,x93713,x93711)),f713(x93712,x93713,x93711)),x93713)+~P1(f319(f319(f321(f931(f926(x93711),f926(x93711))),f319(f319(f244(f926(x93711),f926(x93711)),f105(x93711)),x93713)),f139(x93711,x93712))) % 219.21/219.52 [9613]~P131(x96131)+~P1(f319(f319(f227(x96131),f319(f319(f74(x96131),f319(f319(f75(x96131),x96132),x96132)),f319(f319(f75(x96131),x96133),x96133))),f2(x96131))) % 219.21/219.52 [9665]P1(f319(f55(x96651),x96652))+~P1(f319(f319(f321(f931(f932(x96651,a923),f932(x96651,a923))),f319(f319(f244(f932(x96651,a923),f932(x96651,a923)),x96653),x96652)),f306(x96651))) % 219.21/219.52 [9973]~P48(x99731,x99732,x99733)+P1(f319(f319(f226(a1),f319(f319(f66(f931(a1,a1),a1,x99731,f243(a1,a1)),f204(x99731)),f222(x99731,x99732,f219(x99731,x99733)))),f2(a1))) % 219.21/219.52 [9974]~P49(x99741,x99742,x99743)+P1(f319(f319(f227(a1),f319(f319(f66(f931(a1,a1),a1,x99741,f243(a1,a1)),f204(x99741)),f222(x99741,x99742,f219(x99741,x99743)))),f2(a1))) % 219.21/219.52 [10103]P49(x101031,x101032,x101033)+~P1(f319(f319(f227(a1),f319(f319(f66(f931(a1,a1),a1,x101031,f243(a1,a1)),f204(x101031)),f222(x101031,x101032,f219(x101031,x101033)))),f2(a1))) % 219.21/219.52 [10104]P48(x101041,x101042,x101043)+~P1(f319(f319(f226(a1),f319(f319(f66(f931(a1,a1),a1,x101041,f243(a1,a1)),f204(x101041)),f222(x101041,x101042,f219(x101041,x101043)))),f2(a1))) % 219.21/219.52 [10458]~P126(x104581)+~P1(f319(f319(f227(x104581),f319(f319(f74(x104581),f319(f319(f236(x104581),x104582),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x104581),x104583),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f2(x104581))) % 219.21/219.52 [4942]~E(x49423,f105(x49421))+E(f319(f319(f126(x49421),x49422),x49423),x49422) % 219.21/219.52 [4943]~E(x49432,f105(x49431))+E(f319(f319(f126(x49431),x49432),x49433),x49433) % 219.21/219.52 [4949]~E(x49492,f2(a925))+E(f319(f319(f167(x49491),x49492),x49493),f105(x49491)) % 219.21/219.52 [4958]~E(x49583,f105(x49581))+E(f319(f319(f167(x49581),x49582),x49583),f105(x49581)) % 219.21/219.52 [4997]~E(x49971,x49973)+E(x49971,f319(f319(f126(x49972),f105(x49972)),x49973)) % 219.21/219.52 [5087]~P115(x50872)+E(f319(f234(f932(x50871,x50872)),x50873),f234(x50872)) % 219.21/219.52 [5089]~P109(x50892)+E(f319(f180(f932(x50891,x50892)),x50893),f180(x50892)) % 219.21/219.52 [5107]E(x51071,f105(x51072))+~E(f319(f319(f126(x51072),x51073),x51071),x51073) % 219.21/219.52 [5108]E(x51081,f105(x51082))+~E(f319(f319(f126(x51082),x51081),x51083),x51083) % 219.21/219.52 [5116]E(x51161,f105(x51162))+~E(f319(f319(f126(x51162),x51163),x51161),f105(x51162)) % 219.21/219.52 [5117]E(x51171,f105(x51172))+~E(f319(f319(f126(x51172),x51171),x51173),f105(x51172)) % 219.21/219.52 [5142]~E(x51422,f2(a925))+E(f319(f319(f75(a925),x51421),x51422),f319(f319(f75(a925),x51423),x51422)) % 219.21/219.52 [5144]~E(x51441,f2(a925))+E(f319(f319(f75(a925),x51441),x51442),f319(f319(f75(a925),x51441),x51443)) % 219.21/219.52 [5202]~P102(x52021)+E(f319(f319(f102(x52021),x52022),x52023),f319(f319(f102(x52021),x52023),x52022)) % 219.21/219.52 [5204]~P107(x52041)+E(f319(f319(f102(x52041),x52042),x52043),f319(f319(f102(x52041),x52043),x52042)) % 219.21/219.52 [5205]~P102(x52051)+E(f319(f319(f93(x52051),x52052),x52053),f319(f319(f93(x52051),x52053),x52052)) % 219.21/219.52 [5207]~P108(x52071)+E(f319(f319(f93(x52071),x52072),x52073),f319(f319(f93(x52071),x52073),x52072)) % 219.21/219.52 [5208]~P121(x52081)+E(f319(f319(f75(x52081),x52082),x52083),f319(f319(f75(x52081),x52083),x52082)) % 219.21/219.52 [5209]~P121(x52091)+E(f319(f319(f74(x52091),x52092),x52093),f319(f319(f74(x52091),x52093),x52092)) % 219.21/219.52 [5211]~P4(x52111)+E(f319(f319(f224(x52111),x52112),x52113),f319(f319(f224(x52111),x52113),x52112)) % 219.21/219.52 [5213]~P4(x52131)+E(f319(f319(f225(x52131),x52132),x52133),f319(f319(f225(x52131),x52133),x52132)) % 219.21/219.52 [5275]E(f39(a925,x52751,x52752),f2(a925))+~E(x52751,f319(f319(f75(a925),x52752),x52753)) % 219.21/219.52 [5276]E(f39(a1,x52761,x52762),f2(a1))+~E(x52761,f319(f319(f75(a1),x52762),x52763)) % 219.21/219.52 [5343]E(x53431,x53432)+~E(f319(f319(f74(a925),x53433),x53431),f319(f319(f74(a925),x53433),x53432)) % 219.21/219.52 [5344]E(x53441,x53442)+~E(f319(f319(f74(a925),x53441),x53443),f319(f319(f74(a925),x53442),x53443)) % 219.21/219.52 [5357]~P96(x53571)+E(f319(f319(f93(x53571),x53572),f319(f73(x53571),x53573)),f319(f319(f23(x53571),x53572),x53573)) % 219.21/219.52 [5358]~P69(x53581)+E(f319(f319(f74(x53581),x53582),f319(f73(x53581),x53583)),f319(f319(f23(x53581),x53582),x53583)) % 219.21/219.52 [5359]~P70(x53591)+E(f319(f319(f74(x53591),x53592),f319(f73(x53591),x53593)),f319(f319(f23(x53591),x53592),x53593)) % 219.21/219.52 [5360]~P118(x53601)+E(f319(f319(f74(x53601),x53602),f319(f73(x53601),x53603)),f319(f319(f23(x53601),x53602),x53603)) % 219.21/219.52 [5361]~P69(x53611)+E(f319(f319(f23(x53611),x53612),f319(f73(x53611),x53613)),f319(f319(f74(x53611),x53612),x53613)) % 219.21/219.52 [5399]~P1(f319(x53993,x53992))+P1(f319(f319(f321(x53991),x53992),x53993)) % 219.21/219.52 [5401]~P79(x54012)+E(f319(f319(f6(x54011,x54012),x54013),f180(f932(x54011,a923))),f2(x54012)) % 219.21/219.52 [5403]~P78(x54032)+E(f319(f319(f9(x54031,x54032),x54033),f180(f932(x54031,a923))),f72(x54032)) % 219.21/219.52 [5455]~E(x54552,f319(f319(f74(a925),x54551),x54553))+P1(f319(f319(f226(a925),x54551),x54552)) % 219.21/219.52 [5458]~E(x54582,f180(f932(x54581,a923)))+E(f319(f319(f54(x54581),x54582),x54583),f180(f932(f932(x54581,a923),a923))) % 219.21/219.52 [5459]~E(x54592,f180(f932(x54591,a923)))+E(f180(f932(f932(x54591,a923),a923)),f319(f319(f54(x54591),x54592),x54593)) % 219.21/219.52 [5525]~E(f319(f276(x55252,x55253),x55251),f180(f932(x55253,a923)))+E(x55251,f180(f932(f931(x55252,x55253),a923))) % 219.21/219.52 [5526]~E(f319(f256(x55262,x55263),x55261),f180(f932(x55262,a923)))+E(x55261,f180(f932(f931(x55262,x55263),a923))) % 219.21/219.52 [5558]E(f319(f276(x55581,x55582),x55583),f180(f932(x55582,a923)))+~E(x55583,f180(f932(f931(x55581,x55582),a923))) % 219.21/219.52 [5559]E(f319(f256(x55591,x55592),x55593),f180(f932(x55591,a923)))+~E(x55593,f180(f932(f931(x55591,x55592),a923))) % 219.21/219.52 [5562]E(f266(x55621,x55622,x55623),f319(f319(f23(a91),x55622),x55623))+P1(f319(f319(f227(a91),x55622),x55623)) % 219.21/219.52 [5578]P1(f319(x55781,x55782))+~P1(f319(f319(f321(x55783),x55782),x55781)) % 219.21/219.52 [5616]E(x56161,x56162)+~E(f319(f73(f932(x56163,a923)),x56161),f319(f73(f932(x56163,a923)),x56162)) % 219.21/219.52 [5627]~E(x56271,f180(f932(x56272,a923)))+~P1(f319(f319(f321(x56272),x56273),x56271)) % 219.21/219.52 [5657]~E(x56572,f319(f319(f74(a1),x56571),f319(f92(a1),x56573)))+P1(f319(f319(f226(a1),x56571),x56572)) % 219.21/219.52 [5671]E(f319(f319(f301(x56711),x56712),x56713),x56713)+~P1(f319(f319(f321(x56711),x56712),x56713)) % 219.21/219.52 [5682]E(x56821,f180(f932(x56822,a923)))+~E(f319(f319(f54(x56822),x56821),x56823),f180(f932(f932(x56822,a923),a923))) % 219.21/219.52 [5683]E(x56831,f180(f932(x56832,a923)))+~E(f180(f932(f932(x56832,a923),a923)),f319(f319(f54(x56832),x56831),x56833)) % 219.21/219.52 [5689]~P116(x56891)+E(f319(f319(f75(x56891),f319(f73(x56891),x56892)),f319(f73(x56891),x56893)),f319(f319(f75(x56891),x56892),x56893)) % 219.21/219.52 [5691]~P72(x56911)+E(f319(f319(f283(x56911),f319(f73(x56911),x56912)),f319(f73(x56911),x56913)),f319(f319(f283(x56911),x56912),x56913)) % 219.21/219.52 [5723]~P1(f319(x57233,x57232))+P1(f319(f319(f321(x57231),x57232),f319(f254(x57231),x57233))) % 219.21/219.52 [5748]E(x57481,f2(a925))+E(f319(f164(x57482),f161(x57482,x57481,x57483)),f319(f319(f301(x57482),x57483),f180(f932(x57482,a923)))) % 219.21/219.52 [5767]E(f162(x57671,x57672,x57673),x57673)+P1(f319(f319(f321(x57671),x57672),f319(f164(x57671),x57673))) % 219.21/219.52 [5851]~P1(f319(f129(x58511),x58513))+P1(f319(f129(x58511),f319(f128(x58511,x58512),x58513))) % 219.21/219.52 [5895]~P65(x58951)+E(f319(f319(f30(x58951),f39(x58951,x58952,x58953)),x58953),f2(x58951)) % 219.21/219.52 [5914]E(f168(x59141,f319(f319(f143(x59141),x59142),f105(x59141)),x59143),f105(x59141))+P1(f319(f319(f321(a925),f2(a925)),x59143)) % 219.21/219.52 [5920]E(x59201,f2(a925))+E(f319(f163(x59202),f161(x59202,x59201,x59203)),f161(x59202,f319(f319(f23(a925),x59201),f72(a925)),x59203)) % 219.21/219.52 [5971]E(f319(f319(f143(x59711),x59712),x59713),f132(x59711,x59712,x59713))+P1(f319(f319(f321(x59711),x59712),f319(f164(x59711),x59713))) % 219.21/219.52 [5980]E(x59801,x59802)+~E(f319(f319(f75(a925),f319(a104,x59803)),x59801),f319(f319(f75(a925),f319(a104,x59803)),x59802)) % 219.21/219.52 [5981]~E(x59812,f319(f319(f74(a1),x59811),f319(f92(a1),f319(a104,x59813))))+P1(f319(f319(f227(a1),x59811),x59812)) % 219.21/219.52 [6043]~P31(x60431,x60432,x60433)+P32(a925,x60431,f131(a925,f319(f294(a925,x60432),x60433))) % 219.21/219.52 [6097]~E(x60973,f105(x60971))+E(f319(f319(f319(f175(f926(x60971),f926(x60971)),x60972),f159(x60971)),x60973),f105(x60971)) % 219.21/219.52 [6101]P1(f319(x61011,x61012))+~P1(f319(f319(f321(x61013),x61012),f319(f254(x61013),x61011))) % 219.21/219.52 [6133]E(x61331,x61332)+~E(f319(f319(f301(x61333),x61331),f180(f932(x61333,a923))),f319(f319(f301(x61333),x61332),f180(f932(x61333,a923)))) % 219.21/219.52 [6149]~P113(x61491)+E(f319(f319(f93(f932(x61491,a923)),f319(f274(x61491),x61492)),f319(f294(x61491,x61492),x61493)),f180(f932(x61491,a923))) % 219.21/219.52 [6188]E(f132(x61881,x61882,x61883),x61883)+~P1(f319(f319(f321(x61881),x61882),f319(f164(x61881),x61883))) % 219.21/219.52 [6213]~P68(x62131)+E(f319(f302(x62131,x62131,f73(x62131)),f319(f294(x62131,x62132),x62133)),f297(x62131,f319(f73(x62131),x62133),f319(f73(x62131),x62132))) % 219.21/219.52 [6224]E(f319(f181(f926(x62241)),f162(x62241,x62242,x62243)),f319(f181(f926(x62241)),x62243))+P1(f319(f319(f321(x62241),x62242),f319(f164(x62241),x62243))) % 219.21/219.52 [6275]~P113(x62751)+E(f319(f319(f93(f932(x62751,a923)),f319(f294(x62751,x62752),x62753)),f319(f275(x62751),x62753)),f180(f932(x62751,a923))) % 219.21/219.52 [6295]~P68(x62951)+E(f319(f302(x62951,x62951,f73(x62951)),f295(x62951,x62952,x62953)),f295(x62951,f319(f73(x62951),x62953),f319(f73(x62951),x62952))) % 219.21/219.52 [6296]~P68(x62961)+E(f319(f302(x62961,x62961,f73(x62961)),f298(x62961,x62962,x62963)),f298(x62961,f319(f73(x62961),x62963),f319(f73(x62961),x62962))) % 219.21/219.52 [6359]E(f168(x63591,f319(f319(f143(x63591),x63592),f105(x63591)),x63593),f319(f319(f143(x63591),x63592),f105(x63591)))+~P1(f319(f319(f321(a925),f2(a925)),x63593)) % 219.21/219.52 [6364]P31(x63641,x63642,x63643)+~P32(a925,x63641,f131(a925,f319(f294(a925,x63642),x63643))) % 219.21/219.52 [6367]~P68(x63671)+E(f319(f302(x63671,x63671,f73(x63671)),f297(x63671,x63672,x63673)),f319(f294(x63671,f319(f73(x63671),x63673)),f319(f73(x63671),x63672))) % 219.21/219.52 [6387]~P66(x63871)+E(f39(x63871,f319(f73(x63871),f39(x63871,x63872,x63873)),x63873),f39(x63871,f319(f73(x63871),x63872),x63873)) % 219.21/219.52 [6482]~P1(f319(f55(f931(x64822,x64821)),x64823))+P1(f319(f55(x64821),f319(f276(x64822,x64821),x64823))) % 219.21/219.52 [6483]~P1(f319(f55(f931(x64831,x64832)),x64833))+P1(f319(f55(x64831),f319(f256(x64831,x64832),x64833))) % 219.21/219.52 [6488]~P113(x64881)+E(f319(f319(f93(f932(x64881,a923)),f295(x64881,x64882,x64883)),f319(f296(x64881),x64883)),f180(f932(x64881,a923))) % 219.21/219.52 [6489]~P113(x64891)+E(f319(f319(f93(f932(x64891,a923)),f297(x64891,x64892,x64893)),f319(f296(x64891),x64893)),f180(f932(x64891,a923))) % 219.21/219.52 [6490]~P113(x64901)+E(f319(f319(f93(f932(x64901,a923)),f298(x64901,x64902,x64903)),f319(f275(x64901),x64903)),f180(f932(x64901,a923))) % 219.21/219.52 [6561]E(f319(f319(f156(x65611),x65612),f658(x65612,x65613,x65611)),x65613)+~P1(f319(f319(f321(x65611),x65613),f319(f164(x65611),x65612))) % 219.21/219.52 [6706]E(x67061,f105(x67062))+~E(f319(f319(f319(f175(f926(x67062),f926(x67062)),x67063),f159(x67062)),x67061),f105(x67062)) % 219.21/219.52 [6813]~P1(f319(f55(f931(x68132,x68131)),x68133))+P1(f319(f55(f931(x68131,x68132)),f319(f278(x68132,x68131),x68133))) % 219.21/219.52 [6836]E(x68361,x68362)+~E(f282(a925,f279(a925),x68363,x68361),f319(f319(f301(a925),x68362),f180(f932(a925,a923)))) % 219.21/219.52 [6837]E(x68371,x68372)+~E(f282(a925,f279(a925),x68371,x68372),f319(f319(f301(a925),x68373),f180(f932(a925,a923)))) % 219.21/219.52 [6968]P60(x69681,x69682,x69683)+P1(f319(f319(f321(x69681),f627(x69683,x69682,x69681)),x69682)) % 219.21/219.52 [6969]P60(x69691,x69692,x69693)+P1(f319(f319(f321(x69691),f626(x69693,x69692,x69691)),x69692)) % 219.21/219.52 [6979]P1(f319(f307(x69791,x69792),x69793))+P1(f319(f319(x69792,f524(x69793,x69792,x69791)),x69793)) % 219.21/219.52 [6980]P1(f319(f307(x69801,x69802),x69803))+P1(f319(f319(x69802,f539(x69803,x69802,x69801)),x69803)) % 219.21/219.52 [7011]E(f319(f181(f926(x70111)),f162(x70111,x70112,x70113)),f319(f319(f23(a925),f319(f181(f926(x70111)),x70113)),f72(a925)))+~P1(f319(f319(f321(x70111),x70112),f319(f164(x70111),x70113))) % 219.21/219.52 [7050]P1(f319(f240(x70501,x70502),x70503))+P1(f319(f319(f321(x70501),f598(x70503,x70502,x70501)),x70503)) % 219.21/219.52 [7061]~P1(f319(f55(f931(x70612,x70611)),f319(f278(x70611,x70612),x70613)))+P1(f319(f55(f931(x70611,x70612)),x70613)) % 219.21/219.52 [7119]~P1(f319(f319(f321(x71191),x71192),f319(f164(x71191),f106(x71191,x71193))))+P1(f319(f319(f321(x71191),x71192),f319(f164(x71191),x71193))) % 219.21/219.52 [7153]E(f319(f128(x71531,x71532),x71533),x71533)+P1(f319(f319(f321(x71531),f726(x71533,x71532,x71531)),f319(f164(x71531),x71533))) % 219.21/219.52 [7167]E(f319(f128(x71671,x71672),x71673),f105(x71671))+P1(f319(f319(f321(x71671),f695(x71673,x71672,x71671)),f319(f164(x71671),x71673))) % 219.21/219.52 [7191]P32(x71911,x71912,x71913)+P1(f319(f319(f321(x71911),f776(x71913,x71912,x71911)),f319(f164(x71911),x71913))) % 219.21/219.52 [7192]P32(x71921,x71922,x71923)+P1(f319(f319(f321(x71921),f786(x71923,x71922,x71921)),f319(f164(x71921),x71923))) % 219.21/219.52 [7193]P32(x71931,x71932,x71933)+P1(f319(f319(f321(x71931),f785(x71932,x71933,x71931)),f319(f164(x71931),x71933))) % 219.21/219.52 [7196]E(f169(x71961,x71962,x71963),x71963)+P1(f319(f319(f321(x71961),f739(x71963,x71962,x71961)),f319(f164(x71961),x71963))) % 219.21/219.52 [7272]P1(f319(f152(x72721,x72722),x72723))+P1(f319(f319(f321(x72721),f696(x72723,x72722,x72721)),f319(f164(x72721),x72723))) % 219.21/219.52 [7281]~P34(x72811,x72813,x72812)+P1(f319(f319(f321(x72811),f771(x72812,x72813,x72811)),f319(f164(x72811),x72812))) % 219.21/219.52 [7282]~P36(x72821,x72823,x72822)+P1(f319(f319(f321(x72821),f775(x72822,x72823,x72821)),f319(f164(x72821),x72822))) % 219.21/219.52 [7283]~P36(x72831,x72833,x72832)+P1(f319(f319(f321(x72831),f787(x72832,x72833,x72831)),f319(f164(x72831),x72832))) % 219.21/219.52 [7284]~P34(x72841,x72843,x72842)+P1(f319(f319(f321(x72841),f814(x72842,x72843,x72841)),f319(f164(x72841),x72842))) % 219.21/219.52 [7285]~P34(x72851,x72852,x72853)+P1(f319(f319(f321(x72851),f816(x72852,x72853,x72851)),f319(f164(x72851),x72853))) % 219.21/219.52 [7320]P1(f319(f319(f321(x73201),x73202),f472(x73203,x73202,x73201)))+~P1(f319(f319(f321(x73201),x73202),f31(f932(x73201,a923),x73203))) % 219.21/219.52 [7321]~P79(x73211)+E(f319(f319(f74(x73211),f319(f319(f6(a925,x73211),x73212),f319(f274(a925),x73213))),f319(x73212,x73213)),f319(f319(f6(a925,x73211),x73212),f319(f274(a925),f319(a104,x73213)))) % 219.21/219.52 [7333]P31(x73331,x73332,x73333)+P1(f319(f319(f321(a925),f857(x73333,x73332,x73331)),f319(f294(a925,x73332),x73333))) % 219.21/219.52 [7413]~P34(x74132,x74131,x74133)+P1(f319(x74131,f319(f319(f156(x74132),x74133),f772(x74133,x74131,x74132)))) % 219.21/219.52 [7426]~P1(f319(f319(f321(x74261),x74262),f473(x74262,x74263,x74261)))+P1(f319(f319(f321(x74261),x74262),f32(f932(x74261,a923),x74263))) % 219.21/219.52 [7459]~P79(x74591)+E(f319(f319(f74(x74591),f319(f319(f6(a925,x74591),x74592),f319(f293(a925),x74593))),f319(x74592,f319(a104,x74593))),f319(f319(f6(a925,x74591),x74592),f319(f293(a925),f319(a104,x74593)))) % 219.21/219.52 [7596]P1(f319(f319(f321(f926(x75961)),x75962),f153(x75961,x75963)))+P1(f319(f319(f321(x75961),f678(x75963,x75962,x75961)),f319(f164(x75961),x75962))) % 219.21/219.52 [7611]~P1(f319(f319(f321(f926(x76111)),x76112),f153(x76111,f308(x76111,x76113))))+P1(f319(f319(f321(f926(x76111)),x76112),f308(f926(x76111),f149(x76111,x76113)))) % 219.21/219.52 [7635]~P1(f319(f319(f321(f926(x76351)),x76352),f308(f926(x76351),f149(x76351,x76353))))+P1(f319(f319(f321(f926(x76351)),x76352),f153(x76351,f308(x76351,x76353)))) % 219.21/219.52 [7668]E(f319(f319(f319(f175(f926(x76681),f926(x76681)),x76682),f159(x76681)),x76683),x76683)+~P1(f319(f319(f226(a925),f319(f181(f926(x76681)),x76683)),f72(a925))) % 219.21/219.52 [7701]E(f319(f319(f126(x77011),f773(x77012,x77013,x77011)),f319(f319(f143(x77011),x77013),f774(x77012,x77013,x77011))),x77012)+~P1(f319(f319(f321(x77011),x77013),f319(f164(x77011),x77012))) % 219.21/219.52 [7702]E(f319(f319(f126(x77021),f779(x77022,x77023,x77021)),f319(f319(f143(x77021),x77023),f780(x77022,x77023,x77021))),x77022)+~P1(f319(f319(f321(x77021),x77023),f319(f164(x77021),x77022))) % 219.21/219.52 [7703]E(f319(f319(f126(x77031),f781(x77032,x77033,x77031)),f319(f319(f143(x77031),x77033),f782(x77032,x77033,x77031))),x77032)+~P1(f319(f319(f321(x77031),x77033),f319(f164(x77031),x77032))) % 219.21/219.52 [7723]~P26(x77231,x77232,x77233,f234(f932(x77231,a923)))+P26(f926(x77231),f926(x77232),f319(f146(x77231,x77232),x77233),f234(f932(f926(x77231),a923))) % 219.21/219.52 [7873]E(x78731,f319(f319(f74(a925),f319(f319(f75(a925),f319(f243(a925,a925),x78732)),x78733)),f319(f248(a925,a925),x78732)))+~P1(f319(f42(x78731,x78733),x78732)) % 219.21/219.52 [7881]P26(x78811,x78812,x78813,f234(f932(x78811,a923)))+~P26(f926(x78811),f926(x78812),f319(f146(x78811,x78812),x78813),f234(f932(f926(x78811),a923))) % 219.21/219.52 [7925]P1(f319(f319(f321(f932(x79251,a923)),f473(x79252,x79253,x79251)),x79253))+P1(f319(f319(f321(x79251),x79252),f32(f932(x79251,a923),x79253))) % 219.21/219.52 [8014]P1(f319(f319(f321(f926(x80141)),x80142),f153(x80141,x80143)))+~P1(f319(f319(f321(x80141),f678(x80143,x80142,x80141)),x80143)) % 219.21/219.52 [8117]P32(x81171,x81172,x81173)+~P1(f319(x81172,f319(f319(f156(x81171),x81173),f778(x81173,x81172,x81171)))) % 219.21/219.52 [8142]E(x81421,x81422)+~E(f319(f319(f7(x81423,f932(x81423,a923),a923),f321(x81423)),x81421),f319(f319(f7(x81423,f932(x81423,a923),a923),f321(x81423)),x81422)) % 219.21/219.52 [8150]~P1(f319(f319(f321(f931(x81501,x81501)),x81503),f255(x81501,x81502)))+P1(f319(f319(f321(x81501),f555(x81502,x81503,x81501)),x81502)) % 219.21/219.52 [8152]~P1(f319(f319(f321(x81521),x81523),f31(f932(x81521,a923),x81522)))+P1(f319(f319(f321(f932(x81521,a923)),f472(x81522,x81523,x81521)),x81522)) % 219.21/219.52 [8210]P1(f319(f319(f226(f932(x82101,a923)),x82102),f32(f932(x82101,a923),x82103)))+P1(f319(f319(f321(f932(x82101,a923)),f631(x82102,x82103,x82101)),x82103)) % 219.21/219.52 [8274]P26(x82741,x82742,f85(x82742,x82741,f234(f932(x82742,a923)),x82743),f234(f932(x82741,a923)))+~E(f319(f302(x82742,x82741,x82743),f234(f932(x82742,a923))),f234(f932(x82741,a923))) % 219.21/219.52 [8300]~P1(f319(f319(f226(f932(x83001,a923)),x83002),f631(x83002,x83003,x83001)))+P1(f319(f319(f226(f932(x83001,a923)),x83002),f32(f932(x83001,a923),x83003))) % 219.21/219.52 [8328]~P1(f319(f319(f321(x83281),x83282),f319(f164(x83281),f779(x83283,x83282,x83281))))+~P1(f319(f319(f321(x83281),x83282),f319(f164(x83281),x83283))) % 219.21/219.52 [8329]~P1(f319(f319(f321(x83291),x83292),f319(f164(x83291),f782(x83293,x83292,x83291))))+~P1(f319(f319(f321(x83291),x83292),f319(f164(x83291),x83293))) % 219.21/219.52 [8356]P31(f319(f66(a923,a923,a925,a314),x83561),x83562,x83563)+P34(a925,x83561,f131(a925,f319(f294(a925,x83562),x83563))) % 219.21/219.52 [8520]E(x85201,f105(x85202))+P1(f319(f319(f321(x85202),f319(f243(x85202,f931(a91,a91)),f319(f267(x85202,x85201),x85203))),f319(f164(x85202),x85201))) % 219.21/219.52 [8620]~P77(x86201)+E(f319(f134(x86201,x86201,f319(f7(x86201,x86201,x86201),f74(x86201)),x86202),f319(f160(x86201),x86203)),f319(f134(x86201,x86201,f74(x86201),x86202),x86203)) % 219.21/219.52 [8816]~P26(x88162,x88161,x88163,f234(f932(x88162,a923)))+E(f319(f302(x88161,x88162,f85(x88162,x88161,f234(f932(x88162,a923)),x88163)),f234(f932(x88161,a923))),f234(f932(x88162,a923))) % 219.21/219.52 [8886]~P31(f319(f66(a923,a923,a925,a314),x88861),x88862,x88863)+~P34(a925,x88861,f131(a925,f319(f294(a925,x88862),x88863))) % 219.21/219.52 [9135]~P4(x91351)+E(f319(f164(x91351),f141(x91351,x91351,f5(x91351),x91352,x91353)),f319(f319(f301(x91351),x91352),f319(f164(x91351),x91353))) % 219.21/219.52 [9146]~E(f319(x91463,f319(f85(x91461,x91462,f234(f932(x91461,a923)),x91463),f792(x91463,x91462,x91461))),f792(x91463,x91462,x91461))+E(f319(f302(x91461,x91462,x91463),f234(f932(x91461,a923))),f234(f932(x91462,a923))) % 219.21/219.52 [9148]P1(f319(f319(f227(a925),f2(a925)),f634(x91481,x91482,x91483)))+~P1(f319(f319(f321(f931(x91483,x91483)),x91482),f319(f319(f281(x91483,x91483,x91483),x91481),f299(x91483,x91481)))) % 219.21/219.52 [9431]~P62(x94311,x94312)+~P1(f319(f319(f321(f931(x94311,x94311)),f319(f319(f244(x94311,x94311),x94313),x94313)),f319(f319(f281(x94311,x94311,x94311),x94312),f299(x94311,x94312)))) % 219.21/219.52 [9568]~E(f319(f319(f93(f932(f931(x95681,x95681),a923)),f319(f278(x95681,x95681),x95682)),f299(x95681,x95682)),f180(f932(f931(x95681,x95681),a923)))+~P1(f319(f319(f321(f931(x95681,x95681)),f319(f319(f244(x95681,x95681),x95683),x95683)),f319(f319(f281(x95681,x95681,x95681),x95682),f299(x95681,x95682)))) % 219.21/219.52 [9752]~P1(f319(f55(x97521),x97522))+P1(f319(f319(f226(a925),f319(f29(x97521),f319(f319(f23(f932(x97521,a923)),x97522),f319(f319(f301(x97521),x97523),f180(f932(x97521,a923)))))),f319(f29(x97521),x97522))) % 219.21/219.52 [5263]~E(x52633,f105(x52631))+E(f136(x52631,f319(f319(f143(x52631),x52632),x52633)),x52632) % 219.21/219.52 [5272]~E(x52723,f105(x52721))+E(f106(x52721,f319(f319(f143(x52721),x52722),x52723)),f105(x52721)) % 219.21/219.52 [5304]E(x53041,f105(x53042))+E(f136(x53042,f319(f319(f143(x53042),x53043),x53041)),f136(x53042,x53041)) % 219.21/219.52 [5306]E(x53061,f105(x53062))+E(f136(x53062,f319(f319(f126(x53062),x53063),x53061)),f136(x53062,x53061)) % 219.21/219.52 [5313]~E(x53133,f105(x53131))+E(f106(x53131,f319(f319(f126(x53131),x53132),x53133)),f106(x53131,x53132)) % 219.21/219.52 [5315]~E(x53153,f105(x53151))+E(f136(x53151,f319(f319(f126(x53151),x53152),x53153)),f136(x53151,x53152)) % 219.21/219.52 [5351]E(x53511,f105(x53512))+E(f319(f133(x53512),f319(f319(f126(x53512),x53511),x53513)),f319(f133(x53512),x53511)) % 219.21/219.52 [5379]~E(x53792,f105(x53791))+E(f319(f133(x53791),f319(f319(f126(x53791),x53792),x53793)),f319(f133(x53791),x53793)) % 219.26/219.52 [5431]~P102(x54311)+E(f319(f319(f102(x54311),x54312),f319(f319(f93(x54311),x54312),x54313)),x54312) % 219.26/219.52 [5432]~P102(x54321)+E(f319(f319(f93(x54321),x54322),f319(f319(f102(x54321),x54322),x54323)),x54322) % 219.26/219.52 [5433]~P4(x54331)+E(f319(f319(f224(x54331),x54332),f319(f319(f225(x54331),x54332),x54333)),x54332) % 219.26/219.52 [5434]~P4(x54341)+E(f319(f319(f225(x54341),x54342),f319(f319(f224(x54341),x54342),x54343)),x54342) % 219.26/219.52 [5453]~P65(x54531)+E(f39(x54531,f319(f319(f75(x54531),x54532),x54533),x54533),f2(x54531)) % 219.26/219.52 [5454]~P65(x54541)+E(f39(x54541,f319(f319(f75(x54541),x54542),x54543),x54542),f2(x54541)) % 219.26/219.52 [5520]~P70(x55201)+E(f319(f73(x55201),f319(f319(f23(x55201),x55202),x55203)),f319(f319(f23(x55201),x55203),x55202)) % 219.26/219.52 [5582]E(x55821,f105(x55822))+E(f106(x55822,f319(f319(f143(x55822),x55823),x55821)),f319(f319(f143(x55822),x55823),f106(x55822,x55821))) % 219.26/219.52 [5583]E(x55831,f105(x55832))+E(f106(x55832,f319(f319(f126(x55832),x55833),x55831)),f319(f319(f126(x55832),x55833),f106(x55832,x55831))) % 219.26/219.52 [5586]~P6(x55861)+E(f32(x55861,f319(f319(f301(x55861),x55862),x55863)),f319(f319(f93(x55861),x55862),f32(x55861,x55863))) % 219.26/219.52 [5587]~P6(x55871)+E(f31(x55871,f319(f319(f301(x55871),x55872),x55873)),f319(f319(f102(x55871),x55872),f31(x55871,x55873))) % 219.26/219.52 [5632]~P102(x56321)+E(f319(f319(f102(x56321),x56322),f319(f319(f102(x56321),x56322),x56323)),f319(f319(f102(x56321),x56322),x56323)) % 219.26/219.52 [5634]~P107(x56341)+E(f319(f319(f102(x56341),x56342),f319(f319(f102(x56341),x56342),x56343)),f319(f319(f102(x56341),x56342),x56343)) % 219.26/219.52 [5635]~P102(x56351)+E(f319(f319(f93(x56351),x56352),f319(f319(f93(x56351),x56352),x56353)),f319(f319(f93(x56351),x56352),x56353)) % 219.26/219.52 [5637]~P108(x56371)+E(f319(f319(f93(x56371),x56372),f319(f319(f93(x56371),x56372),x56373)),f319(f319(f93(x56371),x56372),x56373)) % 219.26/219.52 [5638]~P101(x56381)+E(f319(f319(f75(x56381),x56382),f319(f319(f75(x56381),x56382),x56383)),f319(f319(f75(x56381),x56382),x56383)) % 219.26/219.52 [5640]~P4(x56401)+E(f319(f319(f224(x56401),x56402),f319(f319(f224(x56401),x56402),x56403)),f319(f319(f224(x56401),x56402),x56403)) % 219.26/219.52 [5642]~P4(x56421)+E(f319(f319(f225(x56421),x56422),f319(f319(f225(x56421),x56422),x56423)),f319(f319(f225(x56421),x56422),x56423)) % 219.26/219.52 [5649]~P65(x56491)+E(f39(x56491,f319(f319(f74(x56491),x56492),x56493),x56493),f39(x56491,x56492,x56493)) % 219.26/219.52 [5650]~P65(x56501)+E(f39(x56501,f319(f319(f74(x56501),x56502),x56503),x56502),f39(x56501,x56503,x56502)) % 219.26/219.52 [5658]~P116(x56581)+E(f319(f319(f75(x56581),x56582),f319(f73(x56581),x56583)),f319(f73(x56581),f319(f319(f75(x56581),x56582),x56583))) % 219.26/219.52 [5659]~P72(x56591)+E(f319(f319(f283(x56591),x56592),f319(f73(x56591),x56593)),f319(f73(x56591),f319(f319(f283(x56591),x56592),x56593))) % 219.26/219.52 [5660]~P88(x56601)+E(f319(f319(f74(x56601),x56602),f319(f157(x56601),x56603)),f319(f157(x56601),f319(f319(f143(x56601),x56602),x56603))) % 219.26/219.52 [5688]~P116(x56881)+E(f319(f319(f75(x56881),f319(f73(x56881),x56882)),x56883),f319(f319(f75(x56881),x56882),f319(f73(x56881),x56883))) % 219.26/219.52 [5694]~P9(x56941,x56942,x56943)+E(f31(f932(x56941,a923),f319(f319(f54(x56941),x56942),x56943)),x56942) % 219.26/219.52 [5759]~P119(x57591)+E(f319(f319(f75(x57591),x57592),f319(f319(f236(x57591),x57592),x57593)),f319(f319(f236(x57591),x57592),f319(a104,x57593))) % 219.26/219.52 [5760]~P121(x57601)+E(f319(f319(f75(x57601),x57602),f319(f319(f236(x57601),x57602),x57603)),f319(f319(f236(x57601),x57602),f319(a104,x57603))) % 219.26/219.52 [5770]~P69(x57701)+E(f319(f319(f74(x57701),f319(f73(x57701),x57702)),f319(f319(f74(x57701),x57702),x57703)),x57703) % 219.26/219.52 [5793]~P149(x57931)+E(f319(f319(f236(x57931),f319(f92(x57931),x57932)),x57933),f319(f92(x57931),f319(f319(f236(a925),x57932),x57933))) % 219.26/219.52 [5794]~P145(x57941)+E(f319(f319(f236(x57941),f319(f94(x57941),x57942)),x57943),f319(f94(x57941),f319(f319(f236(a1),x57942),x57943))) % 219.26/219.52 [5800]~P92(x58001)+E(f319(f69(x58001),f319(f319(f23(x58001),x58002),x58003)),f319(f69(x58001),f319(f319(f23(x58001),x58003),x58002))) % 219.26/219.52 [5802]~P126(x58021)+E(f319(f319(f75(x58021),f76(x58021,x58022)),f76(x58021,x58023)),f76(x58021,f319(f319(f75(x58021),x58022),x58023))) % 219.26/219.52 [5806]E(x58061,f105(x58062))+E(f319(f319(f126(x58062),f319(f163(x58062),x58061)),x58063),f319(f163(x58062),f319(f319(f126(x58062),x58061),x58063))) % 219.26/219.52 [5811]~E(x58112,f319(a104,f319(f319(f74(a925),x58111),x58113)))+P1(f319(f319(f227(a925),x58111),x58112)) % 219.26/219.52 [5812]~P116(x58121)+E(f319(f319(f75(x58121),f319(f73(x58121),x58122)),x58123),f319(f73(x58121),f319(f319(f75(x58121),x58122),x58123))) % 219.26/219.52 [5813]~P124(x58131)+E(f319(f319(f283(x58131),f319(f73(x58131),x58132)),x58133),f319(f73(x58131),f319(f319(f283(x58131),x58132),x58133))) % 219.26/219.52 [5814]~P126(x58141)+E(f319(f319(f236(x58141),f319(f69(x58141),x58142)),x58143),f319(f69(x58141),f319(f319(f236(x58141),x58142),x58143))) % 219.26/219.52 [5913]E(f845(x59131,x59132,x59133),f856(x59131,x59132,x59133))+E(f319(f319(f93(f932(x59133,a923)),x59132),x59131),f180(f932(x59133,a923))) % 219.26/219.52 [5928]~P79(x59282)+E(f319(f319(f6(x59281,x59282),f319(f16(x59282,x59281),f2(x59282))),x59283),f2(x59282)) % 219.26/219.52 [5929]~P78(x59292)+E(f319(f319(f9(x59291,x59292),f319(f16(x59292,x59291),f72(x59292))),x59293),f72(x59292)) % 219.26/219.52 [5931]~P149(x59311)+E(f319(f319(f75(x59311),f319(f92(x59311),x59312)),f319(f92(x59311),x59313)),f319(f92(x59311),f319(f319(f75(a925),x59312),x59313))) % 219.26/219.52 [5932]~P149(x59321)+E(f319(f319(f74(x59321),f319(f92(x59321),x59322)),f319(f92(x59321),x59323)),f319(f92(x59321),f319(f319(f74(a925),x59322),x59323))) % 219.26/219.52 [5933]~P145(x59331)+E(f319(f319(f23(x59331),f319(f94(x59331),x59332)),f319(f94(x59331),x59333)),f319(f94(x59331),f319(f319(f23(a1),x59332),x59333))) % 219.26/219.52 [5934]~P145(x59341)+E(f319(f319(f75(x59341),f319(f94(x59341),x59342)),f319(f94(x59341),x59343)),f319(f94(x59341),f319(f319(f75(a1),x59342),x59343))) % 219.26/219.52 [5935]~P145(x59351)+E(f319(f319(f74(x59351),f319(f94(x59351),x59352)),f319(f94(x59351),x59353)),f319(f94(x59351),f319(f319(f74(a1),x59352),x59353))) % 219.26/219.52 [5936]~P99(x59361)+E(f319(f319(f23(x59361),f319(f95(x59361),x59362)),f319(f95(x59361),x59363)),f319(f95(x59361),f319(f319(f23(a1),x59362),x59363))) % 219.26/219.52 [5939]~P99(x59391)+E(f319(f319(f75(x59391),f319(f95(x59391),x59392)),f319(f95(x59391),x59393)),f319(f95(x59391),f319(f319(f75(a1),x59392),x59393))) % 219.26/219.52 [5940]~P99(x59401)+E(f319(f319(f74(x59401),f319(f95(x59401),x59402)),f319(f95(x59401),x59403)),f319(f95(x59401),f319(f319(f74(a1),x59402),x59403))) % 219.26/219.52 [5988]~E(x59883,x59882)+P1(f319(f319(f226(f932(x59881,a923)),x59882),x59883)) % 219.26/219.52 [5994]~E(x59942,x59943)+P1(f319(f319(f226(f932(x59941,a923)),x59942),x59943)) % 219.26/219.52 [5999]~P96(x59991)+E(f319(f319(f93(x59991),f319(f73(x59991),x59992)),f319(f73(x59991),x59993)),f319(f73(x59991),f319(f319(f102(x59991),x59992),x59993))) % 219.26/219.52 [6000]~P96(x60001)+E(f319(f319(f102(x60001),f319(f73(x60001),x60002)),f319(f73(x60001),x60003)),f319(f73(x60001),f319(f319(f93(x60001),x60002),x60003))) % 219.26/219.52 [6001]~P69(x60011)+E(f319(f319(f74(x60011),f319(f73(x60011),x60012)),f319(f73(x60011),x60013)),f319(f73(x60011),f319(f319(f74(x60011),x60013),x60012))) % 219.26/219.52 [6002]~P70(x60021)+E(f319(f319(f74(x60021),f319(f73(x60021),x60022)),f319(f73(x60021),x60023)),f319(f73(x60021),f319(f319(f74(x60021),x60022),x60023))) % 219.26/219.52 [6003]~P84(x60031)+E(f319(f319(f225(x60031),f319(f73(x60031),x60032)),f319(f73(x60031),x60033)),f319(f73(x60031),f319(f319(f224(x60031),x60032),x60033))) % 219.26/219.52 [6004]~P84(x60041)+E(f319(f319(f224(x60041),f319(f73(x60041),x60042)),f319(f73(x60041),x60043)),f319(f73(x60041),f319(f319(f225(x60041),x60042),x60043))) % 219.26/219.52 [6005]~P126(x60051)+E(f319(f319(f75(x60051),f319(f69(x60051),x60052)),f319(f69(x60051),x60053)),f319(f69(x60051),f319(f319(f75(x60051),x60052),x60053))) % 219.26/219.52 [6006]~P74(x60061)+E(f319(f319(f283(x60061),f319(f69(x60061),x60062)),f319(f69(x60061),x60063)),f319(f69(x60061),f319(f319(f283(x60061),x60062),x60063))) % 219.26/219.52 [6007]~P88(x60071)+E(f319(f319(f74(x60071),f319(f157(x60071),x60072)),f319(f157(x60071),x60073)),f319(f157(x60071),f319(f319(f126(x60071),x60072),x60073))) % 219.26/219.52 [6008]E(x60081,f180(f932(x60082,a923)))+~E(f319(f319(f102(f932(x60082,a923)),x60083),x60081),f180(f932(x60082,a923))) % 219.26/219.52 [6009]E(x60091,f180(f932(x60092,a923)))+~E(f319(f319(f102(f932(x60092,a923)),x60091),x60093),f180(f932(x60092,a923))) % 219.26/219.52 [6010]~P152(x60101,x60103,x60102)+P1(f319(x60101,f319(f319(f30(a1),x60102),x60103))) % 219.26/219.52 [6067]~P1(f319(f55(x60671),x60673))+P1(f319(f55(x60671),f319(f319(f301(x60671),x60672),x60673))) % 219.26/219.52 [6068]~P1(f319(f129(x60681),x60683))+P1(f319(f129(x60681),f319(f319(f167(x60681),x60682),x60683))) % 219.26/219.52 [6069]~P1(f319(f129(x60691),x60693))+P1(f319(f129(x60691),f319(f319(f130(x60691),x60692),x60693))) % 219.26/219.52 [6102]~P102(x61021)+P1(f319(f319(f226(x61021),x61022),f319(f319(f102(x61021),x61023),x61022))) % 219.26/219.52 [6103]~P107(x61031)+P1(f319(f319(f226(x61031),x61032),f319(f319(f102(x61031),x61033),x61032))) % 219.26/219.52 [6104]~P102(x61041)+P1(f319(f319(f226(x61041),x61042),f319(f319(f102(x61041),x61042),x61043))) % 219.26/219.52 [6105]~P107(x61051)+P1(f319(f319(f226(x61051),x61052),f319(f319(f102(x61051),x61052),x61053))) % 219.26/219.52 [6106]~P4(x61061)+P1(f319(f319(f226(x61061),x61062),f319(f319(f225(x61061),x61063),x61062))) % 219.26/219.52 [6107]~P4(x61071)+P1(f319(f319(f226(x61071),x61072),f319(f319(f225(x61071),x61072),x61073))) % 219.26/219.52 [6108]~P121(x61081)+P1(f319(f319(f279(x61081),x61082),f319(f319(f75(x61081),x61083),x61082))) % 219.26/219.52 [6109]~P121(x61091)+P1(f319(f319(f279(x61091),x61092),f319(f319(f75(x61091),x61092),x61093))) % 219.26/219.52 [6123]~E(x61231,f2(a925))+E(f319(f319(f30(a925),f319(f319(f75(a925),x61231),x61232)),f319(f319(f75(a925),x61231),x61233)),f2(a925)) % 219.26/219.52 [6206]~P99(x62061)+E(f319(f319(f23(x62061),f319(f95(x62061),x62062)),f319(f95(x62061),x62063)),f319(f95(x62061),f319(f319(f74(a1),x62062),f319(f73(a1),x62063)))) % 219.26/219.52 [6265]E(x62651,f2(a925))+E(f319(f319(f30(a925),f319(f319(f75(a925),x62651),x62652)),f319(f319(f75(a925),x62651),x62653)),f319(f319(f30(a925),x62652),x62653)) % 219.26/219.52 [6293]E(f144(x62931,f319(f319(f143(x62931),x62932),x62933)),f319(f319(f143(x62931),x62932),f144(x62931,x62933)))+P1(f319(f319(f321(x62931),x62932),f319(f164(x62931),x62933))) % 219.26/219.52 [6329]P152(x63291,x63292,x63293)+~P1(f319(x63291,f319(f319(f30(a1),x63293),x63292))) % 219.26/219.52 [6400]E(x64001,f105(x64002))+E(f319(f319(f143(x64002),f319(f133(x64002),x64001)),f319(f319(f167(x64002),x64003),f319(f163(x64002),x64001))),f319(f319(f167(x64002),f319(a104,x64003)),x64001)) % 219.26/219.52 [6407]E(f319(f319(f23(f932(x64071,a923)),x64072),x64073),x64072)+~E(f319(f319(f93(f932(x64071,a923)),x64072),x64073),f180(f932(x64071,a923))) % 219.26/219.52 [6422]E(f144(x64221,f319(f319(f143(x64221),x64222),x64223)),f144(x64221,x64223))+~P1(f319(f319(f321(x64221),x64222),f319(f164(x64221),x64223))) % 219.26/219.52 [6452]~P1(f319(f319(f226(a925),x64521),x64523))+P1(f319(f319(f226(a925),x64521),f319(f319(f74(a925),x64522),x64523))) % 219.26/219.52 [6454]~P1(f319(f319(f226(a925),x64541),x64542))+P1(f319(f319(f226(a925),x64541),f319(f319(f74(a925),x64542),x64543))) % 219.26/219.52 [6456]~P1(f319(f319(f227(a925),x64561),x64563))+P1(f319(f319(f227(a925),x64561),f319(f319(f74(a925),x64562),x64563))) % 219.26/219.52 [6458]~P1(f319(f319(f227(a925),x64581),x64582))+P1(f319(f319(f227(a925),x64581),f319(f319(f74(a925),x64582),x64583))) % 219.26/219.52 [6496]P1(f319(f55(x64961),x64962))+~P1(f319(f55(x64961),f319(f319(f301(x64961),x64963),x64962))) % 219.26/219.52 [6497]P1(f319(f129(x64971),x64972))+~P1(f319(f129(x64971),f319(f319(f143(x64971),x64973),x64972))) % 219.26/219.52 [6498]P1(f319(f129(x64981),x64982))+~P1(f319(f129(x64981),f319(f319(f126(x64981),x64983),x64982))) % 219.26/219.52 [6499]P1(f319(f129(x64991),x64992))+~P1(f319(f129(x64991),f319(f319(f126(x64991),x64992),x64993))) % 219.26/219.52 [6550]~P121(x65501)+E(f319(f319(f74(x65501),x65502),f319(f319(f75(x65501),x65503),x65502)),f319(f319(f75(x65501),f319(f319(f74(x65501),x65503),f72(x65501))),x65502)) % 219.26/219.52 [6597]~E(x65971,x65972)+~P1(f319(f319(f227(f932(x65973,a923)),x65971),x65972)) % 219.26/219.52 [6644]P1(f319(f319(f321(x66441),x66442),x66443))+P1(f319(f319(f321(x66441),x66442),f319(f73(f932(x66441,a923)),x66443))) % 219.26/219.52 [6650]E(f136(x66501,f319(f319(f130(x66501),x66502),x66503)),f136(x66501,x66503))+~P1(f319(f319(f227(a925),x66502),f319(f181(f926(x66501)),x66503))) % 219.26/219.52 [6651]E(f319(f319(f167(x66511),x66512),f106(x66511,x66513)),f319(f319(f167(x66511),x66512),x66513))+~P1(f319(f319(f227(a925),x66512),f319(f181(f926(x66511)),x66513))) % 219.26/219.52 [6708]E(f319(f319(f319(f175(f926(x67081),f926(x67081)),x67082),f159(x67081)),x67083),x67083)+~E(f39(a925,x67082,f319(f181(f926(x67081)),x67083)),f2(a925)) % 219.26/219.52 [6715]~P9(x67151,x67153,x67152)+E(f319(f319(f281(x67151,x67151,x67151),f319(f278(x67151,x67151),x67152)),x67152),x67152) % 219.26/219.52 [6757]~E(f319(f319(f102(f932(x67571,a923)),x67572),x67573),x67573)+P1(f319(f319(f226(f932(x67571,a923)),x67572),x67573)) % 219.26/219.52 [6762]~P59(x67621,x67621,x67623)+P59(x67621,x67621,f319(f319(f175(f931(x67621,x67621),a923),x67622),x67623)) % 219.26/219.52 [6766]~P1(f319(f319(f321(x67661),x67663),f319(f164(x67661),x67662)))+P1(f319(f319(f227(a925),f2(a925)),f319(f181(f926(x67661)),x67662))) % 219.26/219.52 [6792]~P92(x67921)+E(f319(f69(x67921),f319(f319(f74(x67921),f319(f69(x67921),x67922)),f319(f69(x67921),x67923))),f319(f319(f74(x67921),f319(f69(x67921),x67922)),f319(f69(x67921),x67923))) % 219.26/219.52 [6802]E(f319(f319(f30(a925),f319(f319(f75(a925),x68021),x68022)),f319(f319(f75(a925),x68021),x68023)),f319(f319(f30(a925),x68022),x68023))+~P1(f319(f319(f227(a925),f2(a925)),x68021)) % 219.26/219.52 [6948]~P1(f319(f55(x69481),x69483))+E(f319(f319(f58(x69481,f932(x69481,a923),f301(x69481)),x69482),x69483),f319(f319(f102(f932(x69481,a923)),x69483),x69482)) % 219.26/219.52 [7004]E(f319(f319(f102(f932(x70041,a923)),x70042),x70043),x70042)+~P1(f319(f319(f226(f932(x70041,a923)),x70043),x70042)) % 219.26/219.52 [7006]E(f319(f319(f102(f932(x70061,a923)),x70062),x70063),x70063)+~P1(f319(f319(f226(f932(x70061,a923)),x70062),x70063)) % 219.26/219.52 [7007]E(f319(f319(f93(f932(x70071,a923)),x70072),x70073),x70073)+~P1(f319(f319(f226(f932(x70071,a923)),x70073),x70072)) % 219.26/219.52 [7008]E(f319(f319(f93(f932(x70081,a923)),x70082),x70083),x70082)+~P1(f319(f319(f226(f932(x70081,a923)),x70082),x70083)) % 219.26/219.52 [7059]~P1(f319(f129(x70591),x70592))+E(f319(f319(f23(f932(x70591,a923)),f319(f164(x70591),x70592)),f319(f319(f301(x70591),x70593),f180(f932(x70591,a923)))),f319(f164(x70591),f162(x70591,x70593,x70592))) % 219.26/219.52 [7114]P38(x71141,x71142)+~P38(x71141,f319(f319(f175(f931(x71141,x71141),a923),x71143),x71142)) % 219.26/219.52 [7130]~E(x71301,f2(a925))+P1(f319(f319(f279(a925),f319(f319(f75(a925),x71301),x71302)),f319(f319(f75(a925),x71301),x71303))) % 219.26/219.52 [7179]P1(f319(f43(x71791,x71792),f319(a45,x71793)))+~P1(f319(f43(f319(f73(a1),x71791),f319(f73(a1),x71792)),x71793)) % 219.26/219.52 [7184]E(f319(f319(f23(f932(x71841,a923)),f319(f319(f301(x71841),x71842),x71843)),f319(f319(f301(x71841),x71842),f180(f932(x71841,a923)))),x71843)+P1(f319(f319(f321(x71841),x71842),x71843)) % 219.26/219.52 [7206]E(f319(f319(f93(f932(x72061,a923)),f319(f164(x72061),x72062)),f319(f164(x72061),x72063)),f180(f932(x72061,a923)))+~P1(f319(f129(x72061),f319(f319(f126(x72061),x72062),x72063))) % 219.26/219.52 [7221]~P1(f319(f319(f321(x72211),x72212),f319(f164(x72211),x72213)))+~P1(f319(f129(x72211),f319(f319(f143(x72211),x72212),x72213))) % 219.26/219.52 [7292]P32(x72921,x72922,x72923)+P1(f319(f319(f227(a925),f778(x72923,x72922,x72921)),f319(f181(f926(x72921)),x72923))) % 219.26/219.52 [7302]E(f319(f319(f93(f932(x73021,a923)),x73022),x73023),f180(f932(x73021,a923)))+P1(f319(f319(f321(x73021),f845(x73023,x73022,x73021)),x73022)) % 219.26/219.52 [7303]E(f319(f319(f93(f932(x73031,a923)),x73032),x73033),f180(f932(x73031,a923)))+P1(f319(f319(f321(x73031),f856(x73033,x73032,x73031)),x73033)) % 219.26/219.52 [7306]E(f106(x73061,f319(f319(f167(x73061),x73062),x73063)),f319(f319(f167(x73061),f319(f319(f23(a925),x73062),f72(a925))),x73063))+~P1(f319(f319(f226(a925),x73062),f319(f181(f926(x73061)),x73063))) % 219.26/219.52 [7366]~P34(x73663,x73662,x73661)+P1(f319(f319(f227(a925),f772(x73661,x73662,x73663)),f319(f181(f926(x73663)),x73661))) % 219.26/219.52 [7386]P1(f319(f319(f227(a925),f2(a925)),x73861))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x73862),x73861)),f319(f319(f75(a925),x73863),x73861))) % 219.26/219.52 [7387]P1(f319(f319(f227(a925),f2(a925)),x73871))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x73871),x73872)),f319(f319(f75(a925),x73871),x73873))) % 219.26/219.52 [7390]~P1(f319(f319(f321(x73901),x73902),x73903))+~P1(f319(f319(f321(x73901),x73902),f319(f73(f932(x73901,a923)),x73903))) % 219.26/219.52 [7396]~P1(f319(f319(f227(f932(x73961,a923)),x73962),x73963))+P1(f319(f319(f226(f932(x73961,a923)),x73962),x73963)) % 219.26/219.52 [7504]~P1(f319(f319(f226(a925),x75043),x75042))+P1(f319(f319(f226(a925),f319(f319(f23(a925),x75041),x75042)),f319(f319(f23(a925),x75041),x75043))) % 219.26/219.52 [7505]~P1(f319(f319(f226(a925),x75051),x75053))+P1(f319(f319(f226(a925),f319(f319(f23(a925),x75051),x75052)),f319(f319(f23(a925),x75053),x75052))) % 219.26/219.52 [7507]~P1(f319(f319(f226(a925),x75072),x75073))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x75071),x75072)),f319(f319(f75(a925),x75071),x75073))) % 219.26/219.52 [7509]~P1(f319(f319(f226(a925),x75091),x75093))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x75091),x75092)),f319(f319(f75(a925),x75093),x75092))) % 219.26/219.52 [7510]~P1(f319(f319(f226(a925),x75102),x75103))+P1(f319(f319(f226(a925),f319(f319(f74(a925),x75101),x75102)),f319(f319(f74(a925),x75101),x75103))) % 219.26/219.52 [7511]~P1(f319(f319(f226(a925),x75111),x75113))+P1(f319(f319(f226(a925),f319(f319(f74(a925),x75111),x75112)),f319(f319(f74(a925),x75113),x75112))) % 219.26/219.52 [7512]~P1(f319(f319(f226(a925),x75121),x75123))+P1(f319(f319(f226(a925),f319(f319(f30(a925),x75121),x75122)),f319(f319(f30(a925),x75123),x75122))) % 219.26/219.52 [7513]~P1(f319(f319(f226(a1),x75132),x75133))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x75131),x75132)),f319(f319(f74(a1),x75131),x75133))) % 219.26/219.52 [7516]~P1(f319(f319(f227(a925),x75162),x75163))+P1(f319(f319(f227(a925),f319(f319(f74(a925),x75161),x75162)),f319(f319(f74(a925),x75161),x75163))) % 219.26/219.52 [7517]~P1(f319(f319(f227(a925),x75171),x75173))+P1(f319(f319(f227(a925),f319(f319(f74(a925),x75171),x75172)),f319(f319(f74(a925),x75173),x75172))) % 219.26/219.52 [7518]~P1(f319(f319(f227(a1),x75181),x75183))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x75181),x75182)),f319(f319(f74(a1),x75183),x75182))) % 219.26/219.52 [7521]~P1(f319(f319(f279(a925),x75212),x75213))+P1(f319(f319(f279(a925),f319(f319(f75(a925),x75211),x75212)),f319(f319(f75(a925),x75211),x75213))) % 219.26/219.52 [7595]E(x75951,x75952)+~P1(f319(f319(f321(x75953),x75951),f319(f319(f301(x75953),x75952),f180(f932(x75953,a923))))) % 219.26/219.52 [7597]~E(f319(f319(f93(f932(x75971,a923)),x75972),x75973),f180(f932(x75971,a923)))+P1(f319(f319(f226(f932(x75971,a923)),x75972),f319(f73(f932(x75971,a923)),x75973))) % 219.26/219.52 [7602]P1(f319(f319(f321(f932(x76021,a923)),x76022),f319(f300(x76021),x76023)))+~P1(f319(f319(f226(f932(x76021,a923)),x76022),x76023)) % 219.26/219.52 [7607]P1(f319(f319(f321(x76071),f737(x76072,x76073,x76071)),x76073))+P1(f319(f319(f226(f932(x76071,a923)),x76073),x76072)) % 219.26/219.52 [7652]E(f319(f319(f143(x76521),f319(f319(f156(x76521),x76522),x76523)),f319(f319(f130(x76521),f319(a104,x76523)),x76522)),f319(f319(f130(x76521),x76523),x76522))+~P1(f319(f319(f227(a925),x76523),f319(f181(f926(x76521)),x76522))) % 219.26/219.52 [7678]P1(f319(f319(f321(f931(x76781,x76781)),x76782),f299(x76781,x76783)))+~P1(f319(f319(f321(f931(x76781,x76781)),x76782),x76783)) % 219.26/219.52 [7687]~P1(f319(f319(f321(f932(x76871,a923)),x76872),f319(f300(x76871),x76873)))+P1(f319(f319(f226(f932(x76871,a923)),x76872),x76873)) % 219.26/219.52 [7729]P1(f319(f319(f226(f932(x77291,a923)),x77292),f31(f932(x77291,a923),x77293)))+~P1(f319(f319(f321(f932(x77291,a923)),x77292),x77293)) % 219.26/219.52 [7753]~P145(x77531)+E(f319(f319(f75(x77531),f319(f319(f236(x77531),f319(f73(x77531),f72(x77531))),x77532)),f319(f319(f236(x77531),x77533),x77532)),f319(f319(f236(x77531),f319(f73(x77531),x77533)),x77532)) % 219.26/219.52 [7775]E(f319(f319(f156(x77751),x77752),f319(f319(f23(a925),f319(f181(f926(x77751)),x77752)),f319(a104,x77753))),f319(f319(f156(x77751),f319(f160(x77751),x77752)),x77753))+~P1(f319(f319(f227(a925),x77753),f319(f181(f926(x77751)),x77752))) % 219.26/219.52 [7792]~E(f319(f319(f93(f932(x77921,a923)),f880(x77923,x77922,x77921)),x77923),f180(f932(x77921,a923)))+E(f319(f319(f93(f932(x77921,a923)),f31(f932(x77921,a923),x77922)),x77923),f180(f932(x77921,a923))) % 219.26/219.52 [7856]~P1(f319(f319(f321(x78563),x78562),f319(f164(x78563),x78561)))+P1(f319(f319(f227(a925),f658(x78561,x78562,x78563)),f319(f181(f926(x78563)),x78561))) % 219.26/219.52 [7864]P1(f319(f319(f321(x78641),f319(f319(f156(x78641),x78642),x78643)),f319(f164(x78641),x78642)))+~P1(f319(f319(f227(a925),x78643),f319(f181(f926(x78641)),x78642))) % 219.26/219.52 [7961]~P1(f319(x79612,f740(x79613,x79612,x79611)))+E(f319(f319(f130(x79611),f319(f181(f926(x79611)),f169(x79611,x79612,x79613))),x79613),f105(x79611)) % 219.26/219.52 [7974]P1(f319(f319(f226(f932(f926(x79741),a923)),f153(x79741,x79742)),f153(x79741,x79743)))+~P1(f319(f319(f226(f932(x79741,a923)),x79742),x79743)) % 219.26/219.52 [7975]P1(f319(f319(f226(f932(f926(x79751),a923)),f152(x79751,x79752)),f152(x79751,x79753)))+~P1(f319(f319(f226(f932(x79751,a923)),x79752),x79753)) % 219.26/219.52 [8001]E(f319(f319(f93(f932(x80011,a923)),f31(f932(x80011,a923),x80012)),x80013),f180(f932(x80011,a923)))+P1(f319(f319(f321(f932(x80011,a923)),f880(x80013,x80012,x80011)),x80012)) % 219.26/219.52 [8003]~P1(f319(f319(f321(f932(x80031,a923)),x80033),x80032))+P1(f319(f319(f226(f932(x80031,a923)),f32(f932(x80031,a923),x80032)),x80033)) % 219.26/219.52 [8005]E(f319(f319(f93(f932(x80051,a923)),x80052),x80053),f180(f932(x80051,a923)))+~P1(f319(f319(f226(f932(x80051,a923)),x80052),f319(f73(f932(x80051,a923)),x80053))) % 219.26/219.52 [8055]E(f319(f319(f23(a925),f319(f319(f74(a925),f319(f157(a925),x80551)),x80552)),f319(f319(f156(a925),x80551),x80553)),f319(f157(a925),f319(f319(f151(a925,x80551),x80553),x80552)))+~P1(f319(f319(f227(a925),x80553),f319(f181(f926(a925)),x80551))) % 219.26/219.52 [8106]P1(f319(f319(f226(a925),x81061),x81062))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),x81063),x81061)),f319(f319(f74(a925),x81063),x81062))) % 219.26/219.52 [8109]P1(f319(f319(f227(a925),x81091),x81092))+~P1(f319(f319(f227(a925),f319(f319(f74(a925),x81093),x81091)),f319(f319(f74(a925),x81093),x81092))) % 219.26/219.52 [8110]P1(f319(f319(f227(a925),x81101),x81102))+~P1(f319(f319(f227(a925),f319(f319(f75(a925),x81103),x81101)),f319(f319(f75(a925),x81103),x81102))) % 219.26/219.52 [8111]P1(f319(f319(f227(a925),x81111),x81112))+~P1(f319(f319(f227(a925),f319(f319(f75(a925),x81111),x81113)),f319(f319(f75(a925),x81112),x81113))) % 219.26/219.52 [8140]P1(f319(f319(f227(a925),f2(a925)),x81401))+~P1(f319(f319(f227(a925),f319(f319(f75(a925),x81402),x81401)),f319(f319(f75(a925),x81403),x81401))) % 219.26/219.52 [8141]P1(f319(f319(f227(a925),f2(a925)),x81411))+~P1(f319(f319(f227(a925),f319(f319(f75(a925),x81411),x81412)),f319(f319(f75(a925),x81411),x81413))) % 219.26/219.52 [8180]~P1(f319(f319(f321(x81801),f737(x81803,x81802,x81801)),x81803))+P1(f319(f319(f226(f932(x81801,a923)),x81802),x81803)) % 219.26/219.52 [8217]E(f239(x82171,x82172,x82173),x82172)+~P1(f319(f319(f226(f932(x82171,a923)),x82173),f319(f319(f301(x82171),x82172),f180(f932(x82171,a923))))) % 219.26/219.52 [8267]~P1(f319(f129(x82671),x82673))+E(f319(f128(x82671,f319(f319(f8(a923,a923,x82671),a314),f319(a316,x82672))),x82673),f162(x82671,x82672,x82673)) % 219.26/219.52 [8292]E(f319(f319(f130(x82921),f319(f181(f926(x82921)),f169(x82921,x82922,x82923))),x82923),f105(x82921))+P1(f319(f319(f321(x82921),f740(x82923,x82922,x82921)),f319(f164(x82921),x82923))) % 219.26/219.52 [8296]E(f319(f319(f126(x82961),f319(f319(f167(x82961),x82962),x82963)),f319(f319(f143(x82961),f319(f319(f156(x82961),x82963),x82962)),f105(x82961))),f319(f319(f167(x82961),f319(a104,x82962)),x82963))+~P1(f319(f319(f227(a925),x82962),f319(f181(f926(x82961)),x82963))) % 219.26/219.52 [8361]E(f319(f128(x83611,f319(f319(f8(a923,a923,x83611),a314),f319(a316,x83612))),x83613),x83613)+P1(f319(f319(f321(x83611),x83612),f319(f164(x83611),x83613))) % 219.26/219.52 [8367]P1(f319(f319(f226(f932(f932(x83671,a923),a923)),f240(x83671,x83672)),f240(x83671,x83673)))+~P1(f319(f319(f226(f932(x83671,a923)),x83672),x83673)) % 219.26/219.52 [8387]P1(f319(f319(f321(f932(x83871,a923)),f656(x83872,x83873,x83871)),x83873))+P1(f319(f319(f226(f932(x83871,a923)),f31(f932(x83871,a923),x83873)),x83872)) % 219.26/219.52 [8408]~P1(f319(f129(x84081),x84083))+P1(f319(f129(x84081),f319(f319(f319(f175(f926(x84081),f926(x84081)),x84082),f159(x84081)),x84083))) % 219.26/219.52 [8414]~P1(f319(f319(f227(a925),x84142),x84143))+P1(f319(f319(f227(a925),f319(f319(f75(a925),f319(a104,x84141)),x84142)),f319(f319(f75(a925),f319(a104,x84141)),x84143))) % 219.26/219.52 [8434]P1(f319(f319(f226(f932(f932(x84341,a923),a923)),f319(f300(x84341),x84342)),f319(f300(x84341),x84343)))+~P1(f319(f319(f226(f932(x84341,a923)),x84342),x84343)) % 219.26/219.52 [8504]~E(f319(f302(x85041,x85042,x85043),f234(f932(x85041,a923))),f234(f932(x85042,a923)))+E(f319(f66(x85041,x85042,x85042,x85043),f85(x85041,x85042,f234(f932(x85041,a923)),x85043)),f25(x85042)) % 219.26/219.52 [8599]~P1(f319(f319(f226(f932(x85991,a923)),x85993),x85992))+P1(f319(f319(f226(f932(x85991,a923)),f319(f73(f932(x85991,a923)),x85992)),f319(f73(f932(x85991,a923)),x85993))) % 219.26/219.52 [8633]E(f319(f302(a925,a925,f319(f319(f7(a925,a925,a925),f23(a925)),x86331)),f319(f294(a925,x86332),x86333)),f319(f294(a925,f319(f319(f23(a925),x86332),x86331)),f319(f319(f23(a925),x86333),x86331)))+~P1(f319(f319(f227(a925),x86331),x86333)) % 219.26/219.52 [8659]~P88(x86591)+E(f319(f319(f74(x86591),x86592),f319(f134(x86591,x86591,f74(x86591),f2(x86591)),x86593)),f319(f134(x86591,x86591,f74(x86591),x86592),x86593)) % 219.26/219.52 [8718]~P1(f319(f319(f226(f932(x87181,a923)),f656(x87183,x87182,x87181)),x87183))+P1(f319(f319(f226(f932(x87181,a923)),f31(f932(x87181,a923),x87182)),x87183)) % 219.26/219.52 [8739]~P92(x87391)+P1(f319(f319(f226(x87391),f319(f69(x87391),f319(f319(f23(x87391),x87392),x87393))),f319(f319(f74(x87391),f319(f69(x87391),x87392)),f319(f69(x87391),x87393)))) % 219.26/219.52 [8740]~P92(x87401)+P1(f319(f319(f226(x87401),f319(f69(x87401),f319(f319(f74(x87401),x87402),x87403))),f319(f319(f74(x87401),f319(f69(x87401),x87402)),f319(f69(x87401),x87403)))) % 219.26/219.52 [8751]E(f319(f319(f74(a1),f319(f319(f75(a1),x87511),f39(a1,f319(f319(f30(a1),x87512),x87511),x87513))),f39(a1,x87512,x87511)),f39(a1,x87512,f319(f319(f75(a1),x87511),x87513)))+~P1(f319(f319(f227(a1),f2(a1)),x87513)) % 219.26/219.52 [8757]E(f319(f319(f126(x87571),f319(f319(f167(x87571),x87572),x87573)),f319(f319(f143(x87571),f319(f133(x87571),f319(f319(f130(x87571),x87572),x87573))),f105(x87571))),f319(f319(f167(x87571),f319(a104,x87572)),x87573))+~P1(f319(f319(f227(a925),x87572),f319(f181(f926(x87571)),x87573))) % 219.26/219.52 [8777]E(f319(f260(x87771,f319(f319(f146(x87771,f931(a91,x87771)),f319(f244(a91,x87771),f72(a91))),x87772)),f319(a3,x87773)),f319(f319(f156(x87771),x87772),x87773))+~P1(f319(f319(f227(a925),x87773),f319(f181(f926(x87771)),x87772))) % 219.26/219.52 [8846]P1(f319(f319(f321(f931(x88461,x88461)),x88462),f319(f319(f281(x88461,x88461,x88461),x88463),f299(x88461,x88463))))+~P1(f319(f319(f321(f931(x88461,x88461)),x88462),x88463)) % 219.26/219.52 [8857]E(f319(f302(x88571,x88572,x88573),f234(f932(x88571,a923))),f234(f932(x88572,a923)))+~E(f319(f66(x88571,x88572,x88572,x88573),f85(x88571,x88572,f234(f932(x88571,a923)),x88573)),f25(x88572)) % 219.26/219.52 [8866]P1(f319(f319(f226(a925),x88661),x88662))+~P1(f319(f319(f226(a925),f319(f319(f75(a925),f319(a104,x88663)),x88661)),f319(f319(f75(a925),f319(a104,x88663)),x88662))) % 219.26/219.52 [8882]P1(f319(f319(f226(f932(x88821,a923)),x88822),x88823))+~P1(f319(f319(f226(f932(x88821,a923)),f319(f73(f932(x88821,a923)),x88823)),f319(f73(f932(x88821,a923)),x88822))) % 219.26/219.52 [8905]P1(f319(f129(x89051),x89052))+~P1(f319(f129(x89051),f319(f319(f319(f175(f926(x89051),f926(x89051)),x89053),f159(x89051)),x89052))) % 219.26/219.52 [8978]E(f319(f277(x89781,x89781,f299(x89781,x89782)),x89783),x89783)+~P1(f319(f319(f226(f932(x89781,a923)),f319(f277(x89781,x89781,x89782),x89783)),x89783)) % 219.26/219.52 [9027]~P4(x90271)+P14(x90271,f319(f128(x90271,f319(f319(f7(x90271,x90271,a923),a316),f319(x90272,x90273))),x90273)) % 219.26/219.52 [9034]~P1(f319(f319(f226(a925),x90341),x90342))+P1(f319(f319(f226(a925),x90341),f319(f134(a925,a925,f74(a925),x90342),x90343))) % 219.26/219.52 [9121]~P1(f319(f319(f321(f931(x91211,x91211)),x91212),f299(x91211,x91213)))+P1(f319(f319(f321(f931(x91211,x91211)),x91212),f319(f319(f175(f931(x91211,x91211),a923),f632(x91213,x91212,x91211)),x91213))) % 219.26/219.52 [9206]~P88(x92061)+E(f319(f319(f74(x92061),x92062),f319(f134(x92061,x92061,f319(f7(x92061,x92061,x92061),f74(x92061)),f2(x92061)),f319(f160(x92061),x92063))),f319(f134(x92061,x92061,f74(x92061),x92062),x92063)) % 219.26/219.52 [9325]~P27(x93252,x93251,x93253,f234(f932(x93252,a923)),f234(f932(x93251,a923)))+E(f85(x93251,x93252,f234(f932(x93251,a923)),f85(x93252,x93251,f234(f932(x93252,a923)),x93253)),x93253) % 219.26/219.52 [9481]P59(x94811,x94812,x94813)+P1(f319(f319(f321(f931(x94811,x94812)),f319(f319(f244(x94811,x94812),f625(x94813,x94812,x94811)),f611(x94813,x94812,x94811))),x94813)) % 219.26/219.52 [9482]P59(x94821,x94822,x94823)+P1(f319(f319(f321(f931(x94821,x94822)),f319(f319(f244(x94821,x94822),f625(x94823,x94822,x94821)),f610(x94823,x94822,x94821))),x94823)) % 219.26/219.52 [9553]~P1(f319(f319(f321(f931(x95531,x95531)),x95532),f319(f319(f281(x95531,x95531,x95531),x95533),f299(x95531,x95533))))+P1(f319(f319(f321(f931(x95531,x95531)),x95532),f319(f319(f175(f931(x95531,x95531),a923),f634(x95533,x95532,x95531)),x95533))) % 219.26/219.52 [9554]~P1(f319(x95541,f319(f319(f156(x95542),x95543),f319(f181(f926(x95542)),f169(x95542,x95541,x95543)))))+~P1(f319(f319(f227(a925),f319(f181(f926(x95542)),f169(x95542,x95541,x95543))),f319(f181(f926(x95542)),x95543))) % 219.26/219.52 [9645]~P1(f319(f319(f226(f932(x96451,a923)),x96452),x96453))+P1(f319(f319(f226(f932(x96451,a923)),f319(f319(f7(x96451,f932(x96451,a923),a923),f321(x96451)),x96452)),f319(f319(f7(x96451,f932(x96451,a923),a923),f321(x96451)),x96453))) % 219.26/219.52 [9704]~P1(f319(f319(f321(f931(f932(x97041,a923),f932(x97041,a923))),f319(f319(f244(f932(x97041,a923),f932(x97041,a923)),x97042),x97043)),f306(x97041)))+P1(f319(f319(f227(f932(x97041,a923)),x97042),x97043)) % 219.26/219.52 [9728]P60(x97281,x97282,x97283)+~P1(f319(f319(f321(f931(x97281,x97281)),f319(f319(f244(x97281,x97281),f627(x97283,x97282,x97281)),f626(x97283,x97282,x97281))),x97283)) % 219.26/219.52 [9729]P60(x97291,x97292,x97293)+~P1(f319(f319(f321(f931(x97291,x97291)),f319(f319(f244(x97291,x97291),f626(x97293,x97292,x97291)),f627(x97293,x97292,x97291))),x97293)) % 219.26/219.52 [9766]~P1(f319(f319(f321(f931(f926(x97661),f926(x97661))),f319(f319(f244(f926(x97661),f926(x97661)),x97662),x97662)),f139(x97661,x97663)))+P1(f319(f319(f321(f931(x97661,x97661)),f319(f319(f244(x97661,x97661),f677(x97662,x97663,x97661)),f677(x97662,x97663,x97661))),x97663)) % 219.26/219.52 [9818]P1(f319(f319(f226(f932(x98181,a923)),x98182),x98183))+~P1(f319(f319(f226(f932(x98181,a923)),f319(f319(f7(x98181,f932(x98181,a923),a923),f321(x98181)),x98182)),f319(f319(f7(x98181,f932(x98181,a923),a923),f321(x98181)),x98183))) % 219.26/219.52 [9900]E(f319(f319(f23(a925),f319(f319(f6(a925,a925),x99001),f319(f274(a925),x99002))),f319(f319(f6(a925,a925),x99003),f319(f274(a925),x99002))),f319(f319(f6(a925,a925),f319(f319(f18(a925,a925,a925),f319(f319(f8(a925,f932(a925,a925),a925),f23(a925)),x99001)),x99003)),f319(f274(a925),x99002)))+~P1(f319(f319(f226(a925),f319(x99003,f436(x99002,x99001,x99003))),f319(x99001,f436(x99002,x99001,x99003)))) % 219.26/219.52 [5848]~P69(x58481)+E(f319(f319(f23(x58481),f319(f319(f74(x58481),x58482),x58483)),x58483),x58482) % 219.26/219.52 [5849]~P69(x58491)+E(f319(f319(f74(x58491),f319(f319(f23(x58491),x58492),x58493)),x58493),x58492) % 219.26/219.52 [6077]~P69(x60771)+E(f319(f319(f74(x60771),x60772),f319(f319(f74(x60771),f319(f73(x60771),x60772)),x60773)),x60773) % 219.26/219.52 [6165]~P87(x61651)+E(f319(f319(f75(x61651),f319(f319(f236(x61651),x61652),x61653)),x61652),f319(f319(f236(x61651),x61652),f319(a104,x61653))) % 219.26/219.52 [6166]~P121(x61661)+E(f319(f319(f75(x61661),f319(f319(f236(x61661),x61662),x61663)),x61662),f319(f319(f236(x61661),x61662),f319(a104,x61663))) % 219.26/219.52 [6384]~P126(x63841)+E(f319(f69(x63841),f319(f319(f236(x63841),f319(f73(x63841),x63842)),x63843)),f319(f69(x63841),f319(f319(f236(x63841),x63842),x63843))) % 219.26/219.52 [6434]~P87(x64341)+E(f319(f319(f75(x64341),f319(f319(f236(x64341),x64342),x64343)),x64342),f319(f319(f75(x64341),x64342),f319(f319(f236(x64341),x64342),x64343))) % 219.26/219.52 [6487]E(f319(f319(f23(a91),f319(f319(f74(a91),x64871),x64872)),x64873),f266(x64871,x64872,x64873))+~P1(f319(f319(f227(a91),x64872),x64873)) % 219.26/219.52 [6511]~E(f319(f319(f130(x65111),x65113),x65112),f105(x65111))+P1(f319(f319(f226(a925),f319(f181(f926(x65111)),x65112)),x65113)) % 219.26/219.52 [6649]E(f319(f319(f75(a925),f319(f95(a925),x66491)),f319(f319(f75(a925),f319(f95(a925),x66492)),x66493)),f2(a925))+~P1(f319(f319(f227(a1),x66491),a77)) % 219.26/219.52 [6665]~P72(x66651)+E(f319(f319(f236(x66651),f319(f319(f283(x66651),f72(x66651)),x66652)),x66653),f319(f319(f283(x66651),f72(x66651)),f319(f319(f236(x66651),x66652),x66653))) % 219.26/219.52 [6744]E(f319(f319(f23(a925),f319(f319(f74(a925),x67441),x67442)),x67443),f319(f319(f23(a925),x67441),f319(f319(f23(a925),x67443),x67442)))+~P1(f319(f319(f226(a925),x67442),x67443)) % 219.26/219.52 [6746]E(f319(f319(f23(a925),f319(f319(f74(a925),x67461),x67462)),x67463),f319(f319(f74(a925),x67461),f319(f319(f23(a925),x67462),x67463)))+~P1(f319(f319(f226(a925),x67463),x67462)) % 219.26/219.53 [6783]~P102(x67831)+P1(f319(f319(f226(x67831),f319(f319(f93(x67831),x67832),x67833)),x67833)) % 219.26/219.53 [6784]~P108(x67841)+P1(f319(f319(f226(x67841),f319(f319(f93(x67841),x67842),x67843)),x67843)) % 219.26/219.53 [6785]~P102(x67851)+P1(f319(f319(f226(x67851),f319(f319(f93(x67851),x67852),x67853)),x67852)) % 219.26/219.53 [6786]~P108(x67861)+P1(f319(f319(f226(x67861),f319(f319(f93(x67861),x67862),x67863)),x67862)) % 219.26/219.53 [6787]~P4(x67871)+P1(f319(f319(f226(x67871),f319(f319(f224(x67871),x67872),x67873)),x67873)) % 219.26/219.53 [6788]~P4(x67881)+P1(f319(f319(f226(x67881),f319(f319(f224(x67881),x67882),x67883)),x67882)) % 219.26/219.53 [6801]E(f319(f319(f30(a1),f319(f319(f30(a1),x68011),x68012)),x68013),f319(f319(f30(a1),x68011),f319(f319(f75(a1),x68012),x68013)))+~P1(f319(f319(f227(a1),f2(a1)),x68013)) % 219.26/219.53 [6857]~P121(x68571)+E(f319(f319(f74(x68571),f319(f319(f75(x68571),x68572),x68573)),x68573),f319(f319(f75(x68571),f319(f319(f74(x68571),x68572),f72(x68571))),x68573)) % 219.26/219.53 [6858]~P99(x68581)+E(f319(f319(f75(x68581),f319(f73(x68581),f319(f95(x68581),x68582))),x68583),f319(f319(f75(x68581),f319(f95(x68581),f319(f73(a1),x68582))),x68583)) % 219.26/219.53 [6933]~P88(x69331)+E(f319(f157(x69331),f319(f319(f146(x69332,x69331),f319(f16(x69331,x69332),f2(x69331))),x69333)),f2(x69331)) % 219.26/219.53 [6949]E(f319(f319(f74(a925),f319(f95(a925),x69491)),f319(f319(f74(a925),f319(f95(a925),x69492)),x69493)),f319(f319(f74(a925),f319(f95(a925),x69492)),x69493))+~P1(f319(a185,f319(f95(a1),x69491))) % 219.26/219.53 [6964]~P6(x69641)+E(f32(x69641,f319(f319(f301(x69641),x69642),f319(f319(f301(x69641),x69643),f180(f932(x69641,a923))))),f319(f319(f93(x69641),x69642),x69643)) % 219.26/219.53 [6965]~P6(x69651)+E(f31(x69651,f319(f319(f301(x69651),x69652),f319(f319(f301(x69651),x69653),f180(f932(x69651,a923))))),f319(f319(f102(x69651),x69652),x69653)) % 219.26/219.53 [6987]E(f319(f319(f167(x69871),x69872),x69873),x69873)+~P1(f319(f319(f226(a925),f319(f181(f926(x69871)),x69873)),x69872)) % 219.26/219.53 [6999]E(f319(f319(f130(x69991),x69992),x69993),f105(x69991))+~P1(f319(f319(f226(a925),f319(f181(f926(x69991)),x69993)),x69992)) % 219.26/219.53 [7010]E(f319(f319(f74(a925),f319(f319(f23(a925),x70101),x70102)),x70103),f319(f319(f23(a925),f319(f319(f74(a925),x70101),x70103)),x70102))+~P1(f319(f319(f226(a925),x70102),x70101)) % 219.26/219.53 [7024]~P1(f319(f319(f227(a925),x70241),x70243))+P1(f319(f319(f227(a925),f319(f319(f23(a925),x70241),x70242)),x70243)) % 219.26/219.53 [7051]~P4(x70511)+E(f162(x70511,x70512,f319(f319(f140(x70511,x70511,f5(x70511)),x70512),x70513)),x70513) % 219.26/219.53 [7143]E(f319(f319(f23(a925),f319(f319(f74(a925),x71431),x71432)),f319(a104,x71433)),f319(f319(f23(a925),x71431),f319(a104,f319(f319(f23(a925),x71433),x71432))))+~P1(f319(f319(f226(a925),x71432),x71433)) % 219.26/219.53 [7144]~P126(x71441)+P1(f319(f319(f226(x71441),f2(x71441)),f319(f319(f236(x71441),f319(f69(x71441),x71442)),x71443))) % 219.26/219.53 [7189]P25(x71891,x71892,x71893)+~P1(f319(f319(f226(f932(f924(x71891),a923)),x71893),x71892)) % 219.26/219.53 [7232]~P1(f319(f55(x72321),x72323))+P1(f319(f55(x72321),f319(f319(f93(f932(x72321,a923)),x72322),x72323))) % 219.26/219.53 [7233]~P1(f319(f55(x72331),x72332))+P1(f319(f55(x72331),f319(f319(f93(f932(x72331,a923)),x72332),x72333))) % 219.26/219.53 [7234]~P1(f319(f55(x72341),x72342))+P1(f319(f55(x72341),f319(f319(f23(f932(x72341,a923)),x72342),x72343))) % 219.26/219.53 [7376]~P38(x73761,x73763)+P38(x73761,f319(f319(f93(f932(f931(x73761,x73761),a923)),x73762),x73763)) % 219.26/219.53 [7377]~P38(x73771,x73772)+P38(x73771,f319(f319(f93(f932(f931(x73771,x73771),a923)),x73772),x73773)) % 219.26/219.53 [7500]~P102(x75001)+E(f10(x75001,f319(f164(x75001),f319(f319(f143(x75001),x75002),x75003))),f319(f134(x75001,x75001,f93(x75001),x75002),x75003)) % 219.26/219.53 [7501]~P102(x75011)+E(f13(x75011,f319(f164(x75011),f319(f319(f143(x75011),x75012),x75013))),f319(f134(x75011,x75011,f102(x75011),x75012),x75013)) % 219.26/219.53 [7502]~P4(x75021)+E(f14(x75021,f319(f164(x75021),f319(f319(f143(x75021),x75022),x75023))),f319(f134(x75021,x75021,f224(x75021),x75022),x75023)) % 219.26/219.53 [7503]~P4(x75031)+E(f15(x75031,f319(f164(x75031),f319(f319(f143(x75031),x75032),x75033))),f319(f134(x75031,x75031,f225(x75031),x75032),x75033)) % 219.26/219.53 [7564]~P1(f319(f55(x75641),x75642))+P1(f319(f319(f226(a925),f319(f29(x75641),x75642)),f319(f29(x75641),f319(f319(f301(x75641),x75643),x75642)))) % 219.26/219.53 [7571]E(f319(f319(f102(f932(a925,a923)),f319(f294(a925,x75711),x75712)),f319(f294(a925,x75712),f319(f319(f74(a925),x75712),x75713))),f319(f294(a925,x75711),f319(f319(f74(a925),x75712),x75713)))+~P1(f319(f319(f226(a925),x75711),x75712)) % 219.26/219.53 [7580]P1(f319(f319(f226(a925),x75801),x75802))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),x75803),x75801)),x75802)) % 219.26/219.53 [7581]P1(f319(f319(f226(a925),x75811),x75812))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),x75811),x75813)),x75812)) % 219.26/219.53 [7582]P1(f319(f319(f227(a925),x75821),x75822))+~P1(f319(f319(f227(a925),f319(f319(f74(a925),x75821),x75823)),x75822)) % 219.26/219.53 [7620]~P4(x76201)+E(f11(x76201,f224(x76201),f319(f164(x76201),f319(f319(f143(x76201),x76202),x76203))),f319(f134(x76201,x76201,f224(x76201),x76202),x76203)) % 219.26/219.53 [7621]~P4(x76211)+E(f12(x76211,f225(x76211),f319(f164(x76211),f319(f319(f143(x76211),x76212),x76213))),f319(f134(x76211,x76211,f225(x76211),x76212),x76213)) % 219.26/219.53 [7625]~E(x76252,f180(f932(f931(x76251,x76251),a923)))+P1(f319(f319(f226(f932(f931(x76251,x76251),a923)),x76252),x76253)) % 219.26/219.53 [7724]E(f319(f319(f102(f932(x77241,a923)),x77242),f319(f319(f23(f932(x77241,a923)),x77243),x77242)),x77243)+~P1(f319(f319(f226(f932(x77241,a923)),x77242),x77243)) % 219.26/219.53 [7725]~P1(f319(f319(f226(a925),x77251),f319(f319(f74(a925),x77253),x77252)))+P1(f319(f319(f226(a925),f319(f319(f23(a925),x77251),x77252)),x77253)) % 219.26/219.53 [7726]~P1(f319(f319(f227(a925),x77261),f319(f319(f23(a925),x77263),x77262)))+P1(f319(f319(f227(a925),f319(f319(f74(a925),x77261),x77262)),x77263)) % 219.26/219.53 [7782]E(x77821,f105(x77822))+E(f319(f133(x77822),f319(f319(f319(f175(f926(x77822),f926(x77822)),x77823),f159(x77822)),x77821)),f319(f319(f156(x77822),x77821),f39(a925,x77823,f319(f181(f926(x77822)),x77821)))) % 219.26/219.53 [7791]E(f319(f319(f301(x77911),x77912),f319(f319(f23(f932(x77911,a923)),x77913),f319(f319(f301(x77911),x77912),f180(f932(x77911,a923))))),x77913)+~P1(f319(f319(f321(x77911),x77912),x77913)) % 219.26/219.53 [7952]P1(f319(f319(f226(a925),x79521),f319(f319(f74(a925),x79522),x79523)))+~P1(f319(f319(f226(a925),f319(f319(f23(a925),x79521),x79523)),x79522)) % 219.26/219.53 [7953]P1(f319(f319(f227(a925),x79531),f319(f319(f23(a925),x79532),x79533)))+~P1(f319(f319(f227(a925),f319(f319(f74(a925),x79531),x79533)),x79532)) % 219.26/219.53 [7978]P1(f319(f55(x79781),x79782))+~P1(f319(f55(x79781),f319(f319(f102(f932(x79781,a923)),x79783),x79782))) % 219.26/219.53 [7979]P1(f319(f55(x79791),x79792))+~P1(f319(f55(x79791),f319(f319(f102(f932(x79791,a923)),x79792),x79793))) % 219.26/219.53 [8053]~P47(x80531,x80533)+P1(f319(f319(f321(f931(x80531,x80531)),f319(f319(f244(x80531,x80531),x80532),x80532)),x80533)) % 219.26/219.53 [8189]E(f319(f319(f156(a925),f131(a925,f319(f294(a925,x81891),x81892))),x81893),f319(f319(f74(a925),x81891),x81893))+~P1(f319(f319(f227(a925),f319(f319(f74(a925),x81891),x81893)),x81892)) % 219.26/219.53 [8256]E(f319(f319(f167(a925),x82561),f131(a925,f319(f294(a925,x82562),x82563))),f131(a925,f319(f294(a925,x82562),f319(f319(f74(a925),x82562),x82561))))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),x82562),x82561)),x82563)) % 219.26/219.53 [8313]~P99(x83131)+E(f319(f319(f236(x83131),x83132),f319(f95(a925),f319(f319(f74(a1),x83133),x83133))),f319(f319(f80(x83131,x83131),f319(f319(f236(x83131),x83132),f319(f95(a925),x83133))),f319(f319(f18(x83131,x83131,x83131),f75(x83131)),f5(x83131)))) % 219.26/219.53 [8580]E(f319(f319(f126(x85801),f319(f319(f167(x85801),x85802),x85803)),f319(f319(f143(x85801),f319(f319(f156(x85801),x85803),x85802)),f319(f319(f130(x85801),f319(a104,x85802)),x85803))),x85803)+~P1(f319(f319(f227(a925),x85802),f319(f181(f926(x85801)),x85803))) % 219.26/219.53 [8587]P1(f319(f319(f226(f932(x85871,a923)),f307(x85871,x85872)),f307(x85871,x85873)))+~P1(f319(f319(f226(f932(x85871,f932(x85871,a923))),x85873),x85872)) % 219.26/219.53 [8588]~P60(x85881,x85882,x85883)+P60(x85881,x85882,f319(f319(f23(f932(f931(x85881,x85881),a923)),x85883),f299(x85881,f180(f932(f931(x85881,x85881),a923))))) % 219.26/219.53 [8607]P1(f319(f319(f226(f932(x86071,a923)),f308(x86071,x86072)),f308(x86071,x86073)))+~P1(f319(f319(f226(f932(f931(x86071,x86071),a923)),x86073),x86072)) % 219.26/219.53 [8613]~P1(f319(f319(f227(f932(x86131,a923)),x86133),x86132))+P1(f319(f319(f321(x86131),f904(x86132,x86133,x86131)),f319(f319(f23(f932(x86131,a923)),x86132),x86133))) % 219.26/219.53 [8615]~P131(x86151)+P1(f319(f319(f226(x86151),f2(x86151)),f319(f319(f74(x86151),f319(f319(f75(x86151),x86152),x86152)),f319(f319(f75(x86151),x86153),x86153)))) % 219.26/219.53 [8648]P1(f319(f319(f226(f932(x86481,a923)),f319(f273(x86481),x86482)),f319(f273(x86481),x86483)))+~P1(f319(f319(f226(f932(f931(x86481,x86481),a923)),x86482),x86483)) % 219.26/219.53 [8679]~P58(x86791,x86792)+~P1(f319(f319(f321(f931(x86791,x86791)),f319(f319(f244(x86791,x86791),x86793),x86793)),x86792)) % 219.26/219.53 [8681]~P38(x86811,x86812)+~P1(f319(f319(f321(f931(x86811,x86811)),f319(f319(f244(x86811,x86811),x86813),x86813)),x86812)) % 219.26/219.53 [8741]P1(f319(f319(f226(f932(x87411,a923)),f32(f932(x87411,a923),x87412)),f32(f932(x87411,a923),x87413)))+~P1(f319(f319(f226(f932(f932(x87411,a923),a923)),x87413),x87412)) % 219.26/219.53 [8742]P1(f319(f319(f226(f932(x87421,a923)),f31(f932(x87421,a923),x87422)),f31(f932(x87421,a923),x87423)))+~P1(f319(f319(f226(f932(f932(x87421,a923),a923)),x87422),x87423)) % 219.26/219.53 [8796]~P9(x87961,x87963,x87962)+P1(f319(f319(f226(f932(f931(x87961,x87961),a923)),x87962),f319(f319(f246(x87961,x87961),x87963),f319(f16(f932(x87961,a923),x87961),x87963)))) % 219.26/219.53 [8797]~P57(x87971,x87973,x87972)+P1(f319(f319(f226(f932(f931(x87971,x87971),a923)),x87972),f319(f319(f246(x87971,x87971),x87973),f319(f16(f932(x87971,a923),x87971),x87973)))) % 219.26/219.53 [8847]~P92(x88471)+P1(f319(f319(f226(x88471),f319(f319(f23(x88471),f319(f69(x88471),x88472)),f319(f69(x88471),x88473))),f319(f69(x88471),f319(f319(f23(x88471),x88473),x88472)))) % 219.26/219.53 [8848]~P92(x88481)+P1(f319(f319(f226(x88481),f319(f319(f23(x88481),f319(f69(x88481),x88482)),f319(f69(x88481),x88483))),f319(f69(x88481),f319(f319(f23(x88481),x88482),x88483)))) % 219.26/219.53 [8880]P1(f319(f319(f226(f932(f931(x88801,x88801),a923)),f299(x88801,x88802)),f299(x88801,x88803)))+~P1(f319(f319(f226(f932(f931(x88801,x88801),a923)),x88802),x88803)) % 219.26/219.53 [8991]~P26(x89912,x89911,x89913,f234(f932(x89912,a923)))+E(f319(f66(x89911,x89912,x89912,f85(x89912,x89911,f234(f932(x89912,a923)),x89913)),x89913),f25(x89912)) % 219.26/219.53 [9052]P60(x90521,x90522,x90523)+~P60(x90521,x90522,f319(f319(f23(f932(f931(x90521,x90521),a923)),x90523),f299(x90521,f180(f932(f931(x90521,x90521),a923))))) % 219.26/219.53 [9072]P1(f319(f319(f226(f932(f931(f926(x90721),f926(x90721)),a923)),f149(x90721,x90722)),f149(x90721,x90723)))+~P1(f319(f319(f226(f932(f931(x90721,x90721),a923)),x90722),x90723)) % 219.26/219.53 [9073]P1(f319(f319(f226(f932(f931(f926(x90731),f926(x90731)),a923)),f150(x90731,x90732)),f150(x90731,x90733)))+~P1(f319(f319(f226(f932(f931(x90731,x90731),a923)),x90732),x90733)) % 219.26/219.53 [9094]~P57(x90941,x90943,x90942)+P1(f319(f319(f226(f932(f931(x90941,x90941),a923)),x90942),f319(f319(f281(x90941,x90941,x90941),f319(f278(x90941,x90941),x90942)),x90942))) % 219.26/219.53 [9149]~P1(f319(f129(x91491),x91492))+E(f319(f128(x91491,f319(f319(f7(x91491,f932(x91491,a923),a923),f321(x91491)),f319(f164(x91491),f168(x91491,x91492,x91493)))),x91492),f168(x91491,x91492,x91493)) % 219.26/219.53 [9204]E(x92041,x92042)+~P1(f319(f319(f321(f931(x92043,x92043)),f319(f319(f244(x92043,x92043),x92041),x92042)),f299(x92043,f180(f932(f931(x92043,x92043),a923))))) % 219.26/219.53 [9288]P1(f319(f319(f321(x92881),x92882),f308(x92881,x92883)))+P1(f319(f319(f321(f931(x92881,x92881)),f319(f319(f244(x92881,x92881),f560(x92883,x92882,x92881)),x92882)),x92883)) % 219.26/219.53 [9289]P1(f319(f319(f321(x92891),x92892),f308(x92891,x92893)))+P1(f319(f319(f321(f931(x92891,x92891)),f319(f319(f244(x92891,x92891),f612(x92893,x92892,x92891)),x92892)),x92893)) % 219.26/219.53 [9290]P1(f319(f319(f321(x92901),x92902),f308(x92901,x92903)))+P1(f319(f319(f321(f931(x92901,x92901)),f319(f319(f244(x92901,x92901),f613(x92903,x92902,x92901)),x92902)),x92903)) % 219.26/219.53 [9326]P26(x93261,x93262,x93263,f234(f932(x93261,a923)))+~E(f319(f66(x93262,x93261,x93261,f85(x93261,x93262,f234(f932(x93261,a923)),x93263)),x93263),f25(x93261)) % 219.26/219.53 [9380]~P1(f319(f319(f321(f926(x93801)),x93803),f153(x93801,x93802)))+P1(f319(f152(x93801,f319(f319(f7(x93801,f932(x93801,a923),a923),f321(x93801)),x93802)),x93803)) % 219.26/219.53 [9405]P1(f319(x94053,x94052))+E(f319(f254(x94051),f319(f319(f18(x94051,a923,a923),f319(f319(f8(a923,f932(a923,a923),x94051),a317),f319(a316,x94052))),x94053)),f180(f932(x94051,a923))) % 219.26/219.53 [9421]~P92(x94211)+P1(f319(f319(f226(x94211),f319(f69(x94211),f319(f319(f23(x94211),f319(f69(x94211),x94212)),f319(f69(x94211),x94213)))),f319(f69(x94211),f319(f319(f23(x94211),x94212),x94213)))) % 219.26/219.53 [9436]~P1(f319(x94363,x94362))+E(f319(f254(x94361),f319(f319(f18(x94361,a923,a923),f319(f319(f8(a923,f932(a923,a923),x94361),a317),f319(a316,x94362))),x94363)),f319(f319(f301(x94361),x94362),f180(f932(x94361,a923)))) % 219.26/219.53 [9445]~P1(f319(f319(f321(f932(x94451,a923)),x94453),f319(f300(x94451),x94452)))+P1(f319(f240(x94451,f319(f319(f7(x94451,f932(x94451,a923),a923),f321(x94451)),x94452)),x94453)) % 219.26/219.53 [9480]P38(x94801,x94802)+P1(f319(f319(f321(f931(x94801,x94801)),f319(f319(f244(x94801,x94801),f319(f568(x94802,x94801),f319(a104,x94803))),f319(f568(x94802,x94801),x94803))),x94802)) % 219.26/219.53 [9622]P1(f319(f319(f321(f926(x96221)),x96222),f153(x96221,x96223)))+~P1(f319(f152(x96221,f319(f319(f7(x96221,f932(x96221,a923),a923),f321(x96221)),x96223)),x96222)) % 219.26/219.53 [9637]P1(f319(f319(f321(f932(x96371,a923)),x96372),f319(f300(x96371),x96373)))+~P1(f319(f240(x96371,f319(f319(f7(x96371,f932(x96371,a923),a923),f321(x96371)),x96373)),x96372)) % 219.26/219.53 [9699]P1(f319(f319(f321(x96991),f319(f260(x96991,x96992),x96993)),f319(f164(x96991),f319(f319(f146(f931(a91,x96991),x96991),f248(a91,x96991)),x96992))))+~P1(f319(f319(f227(a91),x96993),f319(f157(a91),f319(f319(f146(f931(a91,x96991),a91),f243(a91,x96991)),x96992)))) % 219.26/219.53 [9745]P1(f319(f319(f226(f932(f931(f926(x97451),f926(x97451)),a923)),f150(x97451,x97452)),f319(f319(f246(f926(x97451),f926(x97451)),f153(x97451,x97453)),f319(f16(f932(f926(x97451),a923),f926(x97451)),f153(x97451,x97453)))))+~P1(f319(f319(f226(f932(f931(x97451,x97451),a923)),x97452),f319(f319(f246(x97451,x97451),x97453),f319(f16(f932(x97451,a923),x97451),x97453)))) % 219.26/219.53 [9769]P1(f319(f319(f321(x97691),f319(f243(x97691,f931(a91,a91)),f319(f258(x97691,x97692),x97693))),f319(f164(x97691),f319(f319(f146(f931(a91,x97691),x97691),f248(a91,x97691)),x97692))))+~P1(f319(f319(f227(a91),f2(a91)),f319(f157(a91),f319(f319(f146(f931(a91,x97691),a91),f243(a91,x97691)),x97692)))) % 219.26/219.53 [9786]~P1(f319(f319(f226(f932(f931(x97861,x97861),a923)),x97862),f319(f319(f246(x97861,x97861),x97863),f319(f16(f932(x97861,a923),x97861),x97863))))+P1(f319(f319(f226(f932(f931(x97861,x97861),a923)),f319(f319(f281(x97861,x97861,x97861),x97862),f299(x97861,x97862))),f319(f319(f246(x97861,x97861),x97863),f319(f16(f932(x97861,a923),x97861),x97863)))) % 219.26/219.53 [10106]~P38(x101061,x101062)+~P1(f319(f319(f321(f931(x101061,x101061)),f319(f319(f244(x101061,x101061),f319(x101063,f319(a104,f569(x101062,x101061,x101063)))),f319(x101063,f569(x101062,x101061,x101063)))),x101062)) % 219.26/219.53 [10107]~P38(x101071,x101072)+~P1(f319(f319(f321(f931(x101071,x101071)),f319(f319(f244(x101071,x101071),f319(x101073,f319(a104,f620(x101073,x101072,x101071)))),f319(x101073,f620(x101073,x101072,x101071)))),x101072)) % 219.26/219.53 [10368]P1(f319(f319(f226(f932(f931(f932(x103681,a923),f932(x103681,a923)),a923)),f319(f319(f281(f932(x103681,a923),f932(x103681,a923),f932(x103681,a923)),f310(x103681,x103682)),f319(f319(f102(f932(f931(f932(x103681,a923),f932(x103681,a923)),a923)),f310(x103681,x103683)),f319(f319(f301(f931(f932(x103681,a923),f932(x103681,a923))),f319(f319(f244(f932(x103681,a923),f932(x103681,a923)),f180(f932(x103681,a923))),f180(f932(x103681,a923)))),f180(f932(f931(f932(x103681,a923),f932(x103681,a923)),a923)))))),f310(x103681,x103682)))+~P1(f319(f319(f226(f932(f931(x103681,x103681),a923)),f319(f319(f281(x103681,x103681,x103681),x103682),x103683)),x103682)) % 219.26/219.53 [10369]P1(f319(f319(f226(f932(f931(f932(x103691,a923),f932(x103691,a923)),a923)),f319(f319(f281(f932(x103691,a923),f932(x103691,a923),f932(x103691,a923)),f311(x103691,x103692)),f319(f319(f102(f932(f931(f932(x103691,a923),f932(x103691,a923)),a923)),f311(x103691,x103693)),f319(f319(f301(f931(f932(x103691,a923),f932(x103691,a923))),f319(f319(f244(f932(x103691,a923),f932(x103691,a923)),f180(f932(x103691,a923))),f180(f932(x103691,a923)))),f180(f932(f931(f932(x103691,a923),f932(x103691,a923)),a923)))))),f311(x103691,x103692)))+~P1(f319(f319(f226(f932(f931(x103691,x103691),a923)),f319(f319(f281(x103691,x103691,x103691),x103692),x103693)),x103692)) % 219.26/219.53 [7499]~P1(f319(f319(f226(a925),x74992),x74991))+E(f319(f319(f23(a925),f319(a104,f319(f319(f23(a925),x74991),x74992))),x74993),f319(f319(f23(a925),f319(a104,x74991)),f319(f319(f74(a925),x74992),x74993))) % 219.26/219.53 [7539]~P65(x75391)+E(f319(f319(f74(x75391),f39(x75391,x75392,x75393)),f319(f319(f75(x75391),f319(f319(f30(x75391),x75392),x75393)),x75393)),x75392) % 219.26/219.53 [7730]E(f319(f319(f75(a925),f319(f95(a925),x77301)),f319(f319(f75(a925),f319(f95(a925),x77302)),x77303)),f319(f319(f75(a925),f319(f95(a925),f319(f319(f75(a1),x77301),x77302))),x77303))+P1(f319(f319(f227(a1),x77301),a77)) % 219.26/219.53 [8198]~P1(f319(f319(f226(a925),x81983),x81982))+P1(f319(f319(f226(a925),x81981),f319(f319(f23(a925),f319(f319(f74(a925),x81982),x81981)),x81983))) % 219.26/219.53 [8399]~P1(f319(f319(f226(a925),x83991),x83992))+E(f319(f319(f126(a925),f131(a925,f319(f294(a925,x83991),x83992))),f131(a925,f319(f294(a925,x83992),f319(f319(f74(a925),x83992),x83993)))),f131(a925,f319(f294(a925,x83991),f319(f319(f74(a925),x83992),x83993)))) % 219.26/219.53 [8656]~P1(f319(f55(x86561),x86562))+E(f319(a104,f319(f29(x86561),f319(f319(f23(f932(x86561,a923)),x86562),f319(f319(f301(x86561),x86563),f180(f932(x86561,a923)))))),f319(f29(x86561),f319(f319(f301(x86561),x86563),x86562))) % 219.26/219.53 [8697]~P1(f319(f55(x86971),x86972))+E(f319(f319(f74(a925),f72(a925)),f319(f29(x86971),f319(f319(f23(f932(x86971,a923)),x86972),f319(f319(f301(x86971),x86973),f180(f932(x86971,a923)))))),f319(f29(x86971),f319(f319(f301(x86971),x86973),x86972))) % 219.26/219.53 [8889]E(f319(f319(f23(a925),f319(f29(x88891),x88892)),f319(f29(x88891),f319(f319(f93(f932(x88891,a923)),x88892),x88893))),f319(f29(x88891),f319(f319(f23(f932(x88891,a923)),x88892),x88893)))+~P1(f319(f55(x88891),f319(f319(f93(f932(x88891,a923)),x88892),x88893))) % 219.26/219.53 [9144]~P7(f319(x91442,f432(x91442,x91443,x91441)))+E(f319(f92(a1),f319(f319(f6(x91441,a925),f319(f319(f8(a1,a925,x91441),a96),x91442)),x91443)),f319(f319(f6(x91441,a1),x91442),x91443)) % 219.26/219.53 [9145]~P7(f319(x91452,f479(x91452,x91453,x91451)))+E(f319(f92(a1),f319(f319(f9(x91451,a925),f319(f319(f8(a1,a925,x91451),a96),x91452)),x91453)),f319(f319(f9(x91451,a1),x91452),x91453)) % 219.26/219.53 [9187]~P1(f319(f55(x91871),x91873))+P1(f319(f319(f226(a925),f319(f319(f23(a925),f319(f29(x91871),x91872)),f319(f29(x91871),x91873))),f319(f29(x91871),f319(f319(f23(f932(x91871,a923)),x91872),x91873)))) % 219.26/219.53 [9215]P1(f319(f319(f321(x92151),f432(x92152,x92153,x92151)),x92153))+E(f319(f92(a1),f319(f319(f6(x92151,a925),f319(f319(f8(a1,a925,x92151),a96),x92152)),x92153)),f319(f319(f6(x92151,a1),x92152),x92153)) % 219.26/219.53 [9216]P1(f319(f319(f321(x92161),f479(x92162,x92163,x92161)),x92163))+E(f319(f92(a1),f319(f319(f9(x92161,a925),f319(f319(f8(a1,a925,x92161),a96),x92162)),x92163)),f319(f319(f9(x92161,a1),x92162),x92163)) % 219.26/219.53 [9280]E(f79(x92801,f319(f319(f7(x92801,f932(x92801,a923),a923),f321(x92801)),f319(f319(f23(f932(x92801,a923)),x92802),f319(f319(f301(x92801),x92803),f180(f932(x92801,a923)))))),f239(x92801,x92803,x92802))+P1(f319(f319(f226(f932(x92801,a923)),x92802),f319(f319(f301(x92801),x92803),f180(f932(x92801,a923))))) % 219.26/219.53 [9638]E(f319(f319(f146(f926(x96381),x96381),f319(f319(f7(f926(x96381),a925,x96381),f156(x96381)),x96382)),f319(f128(f926(x96381),f319(f319(f8(a925,a923,f926(x96381)),f319(f227(a925),x96382)),f181(f926(x96381)))),x96383)),f319(f319(f156(f926(x96381)),f171(x96381,x96383)),x96382))+~P1(f319(f319(f227(a925),x96382),f319(f181(f926(f926(x96381))),f171(x96381,x96383)))) % 219.26/219.53 [9719]E(f319(f128(x97191,x97192),x97193),f169(x97191,x97192,x97193))+P1(f319(f319(f321(x97191),f743(x97193,x97192,x97191)),f319(f164(x97191),f319(f319(f130(x97191),f319(f181(f926(x97191)),f169(x97191,x97192,x97193))),x97193)))) % 219.26/219.53 [9860]E(f319(f319(f130(x98601),f319(f181(f926(x98601)),f169(x98601,x98602,x98603))),x98603),f105(x98601))+~P1(f319(x98602,f319(f133(x98601),f319(f319(f130(x98601),f319(f181(f926(x98601)),f169(x98601,x98602,x98603))),x98603)))) % 219.26/219.53 [9960]~P1(f319(f319(f321(f931(x99601,x99601)),x99602),f299(x99601,x99603)))+P1(f319(f319(f321(f931(x99601,x99601)),x99602),f319(f319(f33(a925,f932(f931(x99601,x99601),a923)),f234(f932(a925,a923))),f319(f319(f7(a925,f932(f931(x99601,x99601),a923),f932(f931(x99601,x99601),a923)),f175(f931(x99601,x99601),a923)),x99603)))) % 219.26/219.53 [10027]~P1(f319(f319(f226(f932(x100271,a923)),f319(f319(f33(a925,f932(x100271,a923)),f319(f294(a925,f2(a925)),f411(x100273,x100272,x100271))),x100272)),x100273))+P1(f319(f319(f226(f932(x100271,a923)),f319(f319(f33(a925,f932(x100271,a923)),f234(f932(a925,a923))),x100272)),x100273)) % 219.26/219.53 [10077]~P1(f319(f319(f227(a1),f2(a1)),x100773))+P1(f319(f319(f227(a1),x100771),f319(f319(f74(a1),x100772),f319(f319(f75(a1),f319(f319(f74(a1),f319(f69(a1),f319(f319(f23(a1),x100772),x100771))),f72(a1))),x100773)))) % 219.26/219.53 [10093]~P38(x100931,f319(f319(f102(f932(f931(x100931,x100931),a923)),x100932),x100933))+P38(x100931,f319(f319(f102(f932(f931(x100931,x100931),a923)),f319(f319(f102(f932(f931(x100931,x100931),a923)),f319(f319(f281(x100931,x100931,x100931),x100932),x100932)),f319(f319(f281(x100931,x100931,x100931),x100933),x100932))),x100933)) % 219.26/219.53 [10168]P38(x101681,f319(f319(f102(f932(f931(x101681,x101681),a923)),x101682),x101683))+~P38(x101681,f319(f319(f102(f932(f931(x101681,x101681),a923)),f319(f319(f102(f932(f931(x101681,x101681),a923)),f319(f319(f281(x101681,x101681,x101681),x101682),x101682)),f319(f319(f281(x101681,x101681,x101681),x101683),x101682))),x101683)) % 219.26/219.53 [9722]~P145(x97221)+E(f319(f94(x97221),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x97222),x97223)),f180(f932(f931(a925,a925),a923)))))),f319(f319(f23(x97221),f319(f92(x97221),x97222)),f319(f92(x97221),x97223))) % 219.26/219.53 [9806]P1(f319(x98063,x98062))+E(f319(f254(x98061),f319(f319(f18(x98061,a923,a923),f319(f319(f8(a923,f932(a923,a923),x98061),a317),f319(f319(f7(x98061,x98061,a923),a316),x98062))),x98063)),f180(f932(x98061,a923))) % 219.26/219.53 [9808]~P1(f319(x98083,x98082))+E(f319(f254(x98081),f319(f319(f18(x98081,a923,a923),f319(f319(f8(a923,f932(a923,a923),x98081),a317),f319(f319(f7(x98081,x98081,a923),a316),x98082))),x98083)),f319(f319(f301(x98081),x98082),f180(f932(x98081,a923)))) % 219.26/219.53 [10056]E(x100561,x100562)+P1(f319(f319(f235(x100563,x100563,f319(f319(f8(f932(x100563,a923),f932(x100563,a923),x100563),f319(f8(a923,a923,x100563),a314)),a316)),x100561),x100562)) % 219.26/219.53 [10148]~E(x101481,x101482)+~P1(f319(f319(f235(x101483,x101483,f319(f319(f8(f932(x101483,a923),f932(x101483,a923),x101483),f319(f8(a923,a923,x101483),a314)),a316)),x101481),x101482)) % 219.26/219.53 [10160]~P1(f319(f55(x101601),x101603))+E(f319(f319(f58(x101601,f932(x101601,a923),f319(f319(f8(f932(x101601,a923),f932(f932(x101601,a923),f932(x101601,a923)),x101601),f319(f7(f932(x101601,a923),f932(x101601,a923),f932(x101601,a923)),f23(f932(x101601,a923)))),f319(f319(f7(x101601,f932(x101601,a923),f932(x101601,a923)),f301(x101601)),f180(f932(x101601,a923))))),x101602),x101603),f319(f319(f23(f932(x101601,a923)),x101602),x101603)) % 219.26/219.53 [10191]~P1(f319(f319(f227(a1),f2(a1)),x101913))+P1(f319(f319(f227(a1),f319(f319(f23(a1),x101911),f319(f319(f75(a1),f319(f319(f74(a1),f319(f69(a1),f319(f319(f23(a1),x101911),x101912))),f72(a1))),x101913))),x101912)) % 219.26/219.53 [10454]~P1(f319(f319(f321(x104541),x104543),f308(x104541,x104542)))+P1(f319(f307(x104541,f319(f319(f7(x104541,f932(f931(x104541,x104541),a923),f932(x104541,a923)),f319(f319(f8(f932(x104541,f932(f932(f931(x104541,x104541),a923),a923)),f932(f932(f931(x104541,x104541),a923),f932(x104541,a923)),x104541),f7(x104541,f932(f931(x104541,x104541),a923),a923)),f319(f319(f8(f932(x104541,f931(x104541,x104541)),f932(x104541,f932(f932(f931(x104541,x104541),a923),a923)),x104541),f319(f8(f931(x104541,x104541),f932(f932(f931(x104541,x104541),a923),a923),x104541),f321(f931(x104541,x104541)))),f244(x104541,x104541)))),x104542)),x104543)) % 219.26/219.53 [10467]P1(f319(f319(f321(x104671),x104672),f308(x104671,x104673)))+~P1(f319(f307(x104671,f319(f319(f7(x104671,f932(f931(x104671,x104671),a923),f932(x104671,a923)),f319(f319(f8(f932(x104671,f932(f932(f931(x104671,x104671),a923),a923)),f932(f932(f931(x104671,x104671),a923),f932(x104671,a923)),x104671),f7(x104671,f932(f931(x104671,x104671),a923),a923)),f319(f319(f8(f932(x104671,f931(x104671,x104671)),f932(x104671,f932(f932(f931(x104671,x104671),a923),a923)),x104671),f319(f8(f931(x104671,x104671),f932(f932(f931(x104671,x104671),a923),a923),x104671),f321(f931(x104671,x104671)))),f244(x104671,x104671)))),x104673)),x104672)) % 219.26/219.53 [10025]~P1(f319(f55(x100251),f319(f254(x100251),x100253)))+P1(f319(f55(x100251),f319(f254(x100251),f319(f319(f18(x100251,a923,a923),f319(f319(f8(a923,f932(a923,a923),x100251),a317),x100252)),x100253)))) % 219.26/219.53 [10026]~P1(f319(f55(x100261),f319(f254(x100261),x100262)))+P1(f319(f55(x100261),f319(f254(x100261),f319(f319(f18(x100261,a923,a923),f319(f319(f8(a923,f932(a923,a923),x100261),a317),x100262)),x100263)))) % 219.26/219.53 [10127]P1(f319(f55(x101271),f319(f254(x101271),x101272)))+~P1(f319(f55(x101271),f319(f254(x101271),f319(f319(f18(x101271,a923,a923),f319(f319(f8(a923,f932(a923,a923),x101271),a318),x101273)),x101272)))) % 219.26/219.53 [10128]P1(f319(f55(x101281),f319(f254(x101281),x101282)))+~P1(f319(f55(x101281),f319(f254(x101281),f319(f319(f18(x101281,a923,a923),f319(f319(f8(a923,f932(a923,a923),x101281),a318),x101282)),x101283)))) % 219.26/219.53 [10432]~P1(f319(f55(x104321),x104322))+P1(f319(f55(f926(x104321)),f319(f254(f926(x104321)),f319(f319(f18(f926(x104321),a923,a923),f319(f319(f8(a923,f932(a923,a923),f926(x104321)),a317),f319(f319(f7(f926(x104321),f932(x104321,a923),a923),f319(f319(f8(f932(x104321,a923),f932(f932(x104321,a923),a923),f926(x104321)),f226(f932(x104321,a923))),f164(x104321))),x104322))),f319(f319(f7(f926(x104321),a925,a923),f319(f319(f8(a925,f932(a925,a923),f926(x104321)),a316),f181(f926(x104321)))),x104323))))) % 219.26/219.53 [10433]~P1(f319(f55(x104331),x104332))+P1(f319(f55(f926(x104331)),f319(f254(f926(x104331)),f319(f319(f18(f926(x104331),a923,a923),f319(f319(f8(a923,f932(a923,a923),f926(x104331)),a317),f319(f319(f7(f926(x104331),f932(x104331,a923),a923),f319(f319(f8(f932(x104331,a923),f932(f932(x104331,a923),a923),f926(x104331)),f226(f932(x104331,a923))),f164(x104331))),x104332))),f319(f319(f7(f926(x104331),a925,a923),f319(f319(f8(a925,f932(a925,a923),f926(x104331)),f226(a925)),f181(f926(x104331)))),x104333))))) % 219.26/219.53 [10141]~P121(x101411)+E(f319(f319(f236(x101411),x101412),f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x101413)),f319(f319(f75(x101411),f319(f319(f236(x101411),x101412),x101413)),f319(f319(f236(x101411),x101412),x101413))) % 219.26/219.53 [10171]~P87(x101711)+E(f319(f319(f236(x101711),f319(f319(f236(x101711),x101712),x101713)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f236(x101711),x101712),f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x101713))) % 219.26/219.53 [10230]~P145(x102301)+E(f319(f319(f236(x102301),f319(f73(x102301),x102302)),f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102303)),f319(f319(f236(x102301),x102302),f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102303))) % 219.26/219.53 [10376]~P126(x103761)+P1(f319(f319(f226(x103761),f2(x103761)),f319(f319(f74(x103761),f319(f319(f236(x103761),x103762),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x103761),x103763),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))))) % 219.26/219.53 [10240]~P121(x102401)+E(f319(f319(f236(x102401),x102402),f319(a104,f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102403))),f319(f319(f75(x102401),x102402),f319(f319(f75(x102401),f319(f319(f236(x102401),x102402),x102403)),f319(f319(f236(x102401),x102402),x102403)))) % 219.26/219.53 [10293]~P87(x102931)+E(f319(f319(f75(x102931),x102932),f319(f319(f236(x102931),f319(f319(f236(x102931),x102932),x102933)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x102931),x102932),f319(a104,f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102933)))) % 219.26/219.53 [10332]~P126(x103321)+P1(f319(f319(f226(x103321),f2(x103321)),f319(f319(f236(x103321),x103322),f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x103323)))) % 219.26/219.53 [10407]~P99(x104071)+E(f319(f319(f23(x104071),f319(f319(f74(x104071),f319(f319(f236(x104071),x104072),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x104071),x104073),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f319(f319(f75(x104071),f319(f319(f75(x104071),f319(f95(x104071),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x104072)),x104073)),f319(f319(f236(x104071),f319(f319(f23(x104071),x104072),x104073)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.26/219.53 [10408]~P99(x104081)+E(f319(f319(f74(x104081),f319(f319(f74(x104081),f319(f319(f236(x104081),x104082),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x104081),x104083),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f319(f319(f75(x104081),f319(f319(f75(x104081),f319(f95(x104081),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x104082)),x104083)),f319(f319(f236(x104081),f319(f319(f74(x104081),x104082),x104083)),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.26/219.53 [7995]P26(x79951,x79952,x79953,x79954)+~E(f889(x79954,x79953,x79952,x79951),f890(x79954,x79953,x79952,x79951)) % 219.26/219.53 [8290]P35(x82901,x82902,x82903,x82904,f105(x82902))+~E(x82904,f105(x82901)) % 219.26/219.53 [8291]P35(x82911,x82912,x82913,f105(x82911),x82914)+~E(x82914,f105(x82912)) % 219.26/219.53 [8837]~P35(x88372,x88373,x88374,x88371,f105(x88373))+E(x88371,f105(x88372)) % 219.26/219.53 [8838]~P35(x88383,x88382,x88384,f105(x88383),x88381)+E(x88381,f105(x88382)) % 219.26/219.53 [5268]~P18(x52683,x52681,x52684)+E(f319(f319(x52681,x52682),x52682),x52682) % 219.26/219.53 [5518]P1(f319(x55182,x55184))+E(f319(f128(x55181,x55182),f161(x55181,x55183,x55184)),f105(x55181)) % 219.26/219.53 [5555]~E(x55554,f180(f932(x55551,a923)))+E(f319(f302(x55551,x55552,x55553),x55554),f180(f932(x55552,a923))) % 219.26/219.53 [5798]~P1(f319(x57982,x57984))+E(f319(f128(x57981,x57982),f161(x57981,x57983,x57984)),f161(x57981,x57983,x57984)) % 219.26/219.53 [5827]~E(f319(f302(x58272,x58273,x58274),x58271),f180(f932(x58273,a923)))+E(x58271,f180(f932(x58272,a923))) % 219.26/219.53 [6015]~P8(x60151,x60153)+E(f263(x60151,x60152,f262(x60151,x60153),x60154),x60154) % 219.26/219.53 [6124]~P4(x61242)+E(f319(f319(f140(x61241,x61242,x61243),x61244),f105(x61241)),f319(f319(f143(x61241),x61244),f105(x61241))) % 219.26/219.53 [6481]~E(x64811,f180(f932(x64812,a923)))+~P1(f319(f56(x64812,x64813,x64811),x64814)) % 219.26/219.53 [6503]~P63(x65031,x65033,x65034,x65032)+P1(f319(f55(x65031),x65032)) % 219.26/219.53 [6505]~P63(x65051,x65053,x65052,x65054)+P1(f319(f55(x65051),x65052)) % 219.26/219.53 [6513]~P63(x65132,x65133,x65134,x65131)+~E(x65131,f180(f932(x65132,a923))) % 219.26/219.53 [6545]~P113(x65451)+E(f319(f319(f93(f932(x65451,a923)),f319(f294(x65451,x65452),x65453)),f295(x65451,x65453,x65454)),f180(f932(x65451,a923))) % 219.26/219.53 [6572]~P1(f319(f319(x65723,x65724),x65722))+P1(f319(f319(f321(x65721),x65722),f287(x65721,x65723,x65724))) % 219.26/219.53 [6573]~P1(f319(f319(x65733,x65734),x65732))+P1(f319(f319(f321(x65731),x65732),f286(x65731,x65733,x65734))) % 219.26/219.53 [6574]~P1(f319(f319(x65743,x65742),x65744))+P1(f319(f319(f321(x65741),x65742),f290(x65741,x65743,x65744))) % 219.26/219.53 [6575]~P1(f319(f319(x65753,x65752),x65754))+P1(f319(f319(f321(x65751),x65752),f288(x65751,x65753,x65754))) % 219.26/219.53 [6640]~P52(x66404,x66401,x66402,x66403)+P1(f319(f319(x66401,x66402),x66403)) % 219.26/219.53 [6719]~P113(x67191)+E(f319(f319(f93(f932(x67191,a923)),f295(x67191,x67192,x67193)),f297(x67191,x67193,x67194)),f180(f932(x67191,a923))) % 219.26/219.53 [6720]~P113(x67201)+E(f319(f319(f93(f932(x67201,a923)),f295(x67201,x67202,x67203)),f298(x67201,x67203,x67204)),f180(f932(x67201,a923))) % 219.26/219.53 [6721]~P113(x67211)+E(f319(f319(f93(f932(x67211,a923)),f297(x67211,x67212,x67213)),f297(x67211,x67213,x67214)),f180(f932(x67211,a923))) % 219.26/219.53 [6722]~P113(x67221)+E(f319(f319(f93(f932(x67221,a923)),f297(x67221,x67222,x67223)),f298(x67221,x67223,x67224)),f180(f932(x67221,a923))) % 219.26/219.53 [6723]~P113(x67231)+E(f319(f319(f93(f932(x67231,a923)),f298(x67231,x67232,x67233)),f295(x67231,x67233,x67234)),f180(f932(x67231,a923))) % 219.26/219.53 [6760]P1(f319(f319(x67601,x67602),f564(x67602,x67601)))+~P1(f319(f241(x67603,x67604,x67601),x67602)) % 219.26/219.53 [6764]~P52(x67641,x67642,x67643,x67644)+~P1(f319(f319(x67642,x67644),x67643)) % 219.26/219.53 [6844]~P4(x68442)+E(f319(f164(x68441),f142(x68441,x68442,x68443,x68444)),f319(f164(x68441),x68444)) % 219.26/219.53 [6895]~P149(x68951)+E(f182(x68951,x68952,f319(a104,x68953),x68954),f182(x68951,x68952,x68953,f319(x68952,x68954))) % 219.26/219.53 [6958]~P1(f319(f319(f321(x69584),x69583),f287(x69584,x69581,x69582)))+P1(f319(f319(x69581,x69582),x69583)) % 219.26/219.53 [6959]~P1(f319(f319(f321(x69594),x69593),f286(x69594,x69591,x69592)))+P1(f319(f319(x69591,x69592),x69593)) % 219.26/219.53 [6960]~P1(f319(f319(f321(x69604),x69602),f290(x69604,x69601,x69603)))+P1(f319(f319(x69601,x69602),x69603)) % 219.26/219.53 [6961]~P1(f319(f319(f321(x69614),x69612),f288(x69614,x69611,x69613)))+P1(f319(f319(x69611,x69612),x69613)) % 219.26/219.53 [7036]E(f319(f29(f933(x70361,x70362)),f305(x70361,x70362,x70363,x70364)),f2(a925))+P1(f319(f55(x70362),x70364)) % 219.26/219.53 [7037]E(f319(f29(f933(x70371,x70372)),f305(x70371,x70372,x70373,x70374)),f2(a925))+P1(f319(f55(x70371),x70373)) % 219.26/219.53 [7240]~P15(x72404,x72401,x72402)+E(f319(f66(x72401,x72401,x72401,f319(x72402,x72403)),f319(x72402,x72403)),f319(x72402,x72403)) % 219.26/219.53 [7484]E(f269(x74841,x74842,x74843,x74844),f319(f244(f932(a91,f932(a923,f929(f927(x74841)))),f931(a91,a91)),f35(x74841)))+~P1(f319(f319(f226(a91),x74843),f2(a91))) % 219.26/219.53 [8119]~E(x81192,x81193)+P1(f319(f319(f321(f931(x81191,x81191)),f319(f319(f244(x81191,x81191),x81192),x81193)),f299(x81191,x81194))) % 219.26/219.53 [8148]~P26(x81481,x81482,x81483,f234(f932(x81481,a923)))+E(f319(f71(x81481,x81482,f234(f932(x81481,a923)),x81483),f319(x81483,x81484)),x81484) % 219.26/219.53 [8149]~P26(x81491,x81492,x81493,f234(f932(x81491,a923)))+E(f319(f85(x81491,x81492,f234(f932(x81491,a923)),x81493),f319(x81493,x81494)),x81494) % 219.26/219.53 [8239]~P1(f319(f319(f321(f926(x82391)),f319(f319(f143(x82391),x82394),x82392)),f153(x82391,x82393)))+P1(f319(f319(f321(f926(x82391)),x82392),f153(x82391,x82393))) % 219.26/219.53 [8240]~P1(f319(f319(f321(f926(x82401)),f319(f319(f126(x82401),x82404),x82402)),f153(x82401,x82403)))+P1(f319(f319(f321(f926(x82401)),x82402),f153(x82401,x82403))) % 219.26/219.53 [8241]~P1(f319(f319(f321(f926(x82411)),f319(f319(f126(x82411),x82412),x82414)),f153(x82411,x82413)))+P1(f319(f319(f321(f926(x82411)),x82412),f153(x82411,x82413))) % 219.26/219.53 [8252]~P4(x82521)+P14(x82521,f319(f319(f146(x82522,x82521),x82523),f142(x82522,x82521,x82523,x82524))) % 219.26/219.53 [8355]P26(x83554,x83553,x83551,x83552)+E(f319(x83551,f889(x83552,x83551,x83553,x83554)),f319(x83551,f890(x83552,x83551,x83553,x83554))) % 219.26/219.53 [8464]~P26(x84642,x84641,x84644,x84643)+P26(x84641,x84642,f71(x84642,x84641,x84643,x84644),f319(f302(x84642,x84641,x84644),x84643)) % 219.26/219.53 [8605]P38(f931(x86052,x86054),f272(x86052,x86054,x86051,x86053))+P1(f319(x86051,f566(x86052,x86053,x86054,x86051))) % 219.26/219.53 [8725]E(x87251,x87252)+~P1(f319(f319(f321(f931(x87253,x87253)),f319(f319(f244(x87253,x87253),x87251),x87252)),f255(x87253,x87254))) % 219.26/219.53 [8788]~P1(f319(f55(f933(x87883,x87881)),f305(x87883,x87881,x87884,x87882)))+P1(f319(f55(x87881),x87882)) % 219.26/219.53 [8789]~P1(f319(f55(f933(x87891,x87893)),f305(x87891,x87893,x87892,x87894)))+P1(f319(f55(x87891),x87892)) % 219.26/219.53 [8798]~P26(x87981,x87982,x87983,x87984)+P27(x87981,x87982,x87983,x87984,f319(f302(x87981,x87982,x87983),x87984)) % 219.26/219.53 [8800]P12(x88001,x88002,x88003,x88004)+~E(f319(x88004,f858(x88002,x88004,x88003,x88001)),f319(x88004,f859(x88002,x88004,x88003,x88001))) % 219.26/219.53 [8890]~P27(x88902,x88903,x88904,x88901,f180(f932(x88903,a923)))+E(x88901,f180(f932(x88902,a923))) % 219.26/219.53 [8891]~P27(x88913,x88912,x88914,f180(f932(x88913,a923)),x88911)+E(x88911,f180(f932(x88912,a923))) % 219.26/219.53 [8983]P38(f931(x89831,x89832),f272(x89831,x89832,x89833,x89834))+~P38(x89832,f319(x89834,f566(x89831,x89834,x89832,x89833))) % 219.26/219.53 [9558]E(f319(f319(f151(x95581,x95582),f692(x95583,x95584,x95582,x95581)),f693(x95583,x95584,x95582,x95581)),x95584)+~P1(f319(f319(f321(f931(f926(x95581),f926(x95581))),f319(f319(f244(f926(x95581),f926(x95581)),x95582),x95584)),f149(x95581,x95583))) % 219.26/219.53 [9563]~P1(f319(f319(f321(f931(f926(x95631),f926(x95631))),f319(f319(f244(f926(x95631),f926(x95631)),x95632),x95633)),f137(x95631,x95634)))+P1(f319(f319(f321(f931(f926(x95631),f926(x95631))),f319(f319(f244(f926(x95631),f926(x95631)),x95632),x95633)),f139(x95631,x95634))) % 219.26/219.53 [9675]P1(f319(f55(x96751),x96752))+~P1(f319(f319(f321(f931(f932(x96751,a923),f932(x96751,a923))),f319(f319(f244(f932(x96751,a923),f932(x96751,a923)),x96753),x96752)),f311(x96751,x96754))) % 219.26/219.53 [9676]P1(f319(f55(x96761),x96762))+~P1(f319(f319(f321(f931(f932(x96761,a923),f932(x96761,a923))),f319(f319(f244(f932(x96761,a923),f932(x96761,a923)),x96762),x96763)),f311(x96761,x96764))) % 219.26/219.53 [9679]~E(x96791,f180(f932(x96792,a923)))+~P1(f319(f319(f321(f931(f932(x96792,a923),f932(x96792,a923))),f319(f319(f244(f932(x96792,a923),f932(x96792,a923)),x96793),x96791)),f311(x96792,x96794))) % 219.26/219.53 [10343]P12(x103431,x103432,x103433,x103434)+~P1(f319(f319(f249(x103431,x103431,a923),f319(f319(f7(x103431,f932(x103431,x103432),f932(x103431,a923)),f319(f319(f8(f932(x103432,a923),f932(f932(x103431,x103432),f932(x103431,a923)),x103431),f8(x103432,a923,x103431)),f319(f319(f8(x103432,f932(x103432,a923),x103431),a316),x103434))),x103434)),f601(x103434,x103433,x103432,x103431))) % 219.26/219.53 [5168]~E(x51682,f105(x51681))+E(f319(f319(f151(x51681,x51682),x51683),x51684),f105(x51681)) % 219.26/219.53 [5169]~E(x51694,f105(x51691))+E(f319(f319(f146(x51691,x51692),x51693),x51694),f105(x51692)) % 219.26/219.53 [5408]E(x54081,f105(x54082))+~E(f319(f319(f146(x54082,x54083),x54084),x54081),f105(x54083)) % 219.26/219.53 [5409]E(x54091,f105(x54092))+~E(f319(f319(f151(x54092,x54091),x54093),x54094),f105(x54092)) % 219.26/219.53 [5445]E(x54451,x54452)+~E(f319(f319(f126(x54453),x54454),x54451),f319(f319(f126(x54453),x54454),x54452)) % 219.26/219.53 [5446]E(x54461,x54462)+~E(f319(f319(f126(x54463),x54461),x54464),f319(f319(f126(x54463),x54462),x54464)) % 219.26/219.53 [5592]P1(f319(x55923,x55922))+E(f162(x55921,x55922,f319(f128(x55921,x55923),x55924)),f319(f128(x55921,x55923),x55924)) % 219.26/219.53 [5594]~P1(f319(x55942,x55943))+P34(x55941,x55942,f319(f319(f143(x55941),x55943),x55944)) % 219.26/219.53 [5603]E(x56031,x56032)+~E(f131(a925,f319(f294(a925,x56031),x56033)),f319(f319(f143(a925),x56032),x56034)) % 219.26/219.53 [5651]~P28(x56512,x56513)+P28(x56511,f319(f319(f67(x56512,x56511),x56513),x56514)) % 219.26/219.53 [5652]~P38(x56522,x56523)+P38(x56521,f319(f319(f280(x56522,x56521),x56523),x56524)) % 219.26/219.53 [5653]~P39(x56532,x56533)+P39(x56531,f319(f319(f280(x56532,x56531),x56533),x56534)) % 219.26/219.53 [5654]~P56(x56542,x56543)+P56(x56541,f319(f319(f280(x56542,x56541),x56543),x56544)) % 219.26/219.53 [5782]~P34(x57821,x57822,x57824)+P34(x57821,x57822,f319(f319(f143(x57821),x57823),x57824)) % 219.26/219.53 [5783]~P34(x57831,x57832,x57834)+P34(x57831,x57832,f319(f319(f126(x57831),x57833),x57834)) % 219.26/219.53 [5784]~P34(x57841,x57842,x57843)+P34(x57841,x57842,f319(f319(f126(x57841),x57843),x57844)) % 219.26/219.53 [5871]~E(x58711,f105(x58712))+~E(f319(f319(f126(x58712),x58713),f319(f319(f143(x58712),x58714),f105(x58712))),x58711) % 219.26/219.53 [5896]~P32(x58963,x58961,f319(f319(f143(x58963),x58962),x58964))+P1(f319(x58961,x58962)) % 219.26/219.53 [5906]E(f106(x59061,x59062),x59063)+~E(f319(f319(f126(x59061),x59063),f319(f319(f143(x59061),x59064),f105(x59061))),x59062) % 219.26/219.53 [5907]E(f136(x59071,x59072),x59073)+~E(f319(f319(f126(x59071),x59074),f319(f319(f143(x59071),x59073),f105(x59071))),x59072) % 219.26/219.53 [6017]~E(f131(a925,f319(f294(a925,x60171),x60172)),f319(f319(f143(a925),x60173),x60174))+P1(f319(f319(f227(a925),x60171),x60172)) % 219.26/219.53 [6026]P32(x60261,x60262,x60263)+~P32(x60261,x60262,f319(f319(f143(x60261),x60264),x60263)) % 219.26/219.53 [6027]P32(x60271,x60272,x60273)+~P32(x60271,x60272,f319(f319(f126(x60271),x60274),x60273)) % 219.26/219.53 [6028]P32(x60281,x60282,x60283)+~P32(x60281,x60282,f319(f319(f126(x60281),x60283),x60284)) % 219.26/219.53 [6231]E(x62311,f319(f319(f126(x62312),f319(f160(x62312),x62313)),f319(f319(f143(x62312),x62314),f105(x62312))))+~E(f319(f160(x62312),x62311),f319(f319(f143(x62312),x62314),x62313)) % 219.26/219.53 [6402]~P113(x64021)+E(f319(f319(f93(f932(x64021,a923)),f319(f294(x64021,x64022),x64023)),f319(f294(x64021,x64023),x64024)),f180(f932(x64021,a923))) % 219.26/219.53 [6414]E(f319(f319(f156(x64141),f161(x64141,x64142,x64143)),x64144),x64143)+~P1(f319(f319(f227(a925),x64144),x64142)) % 219.26/219.53 [6441]~P79(x64411)+E(f319(f157(x64411),f319(f319(f146(a1,x64411),x64412),f170(x64413,x64414))),f319(f319(f6(a1,x64411),x64412),f319(f164(a1),f170(x64413,x64414)))) % 219.26/219.53 [6442]~P79(x64421)+E(f319(f319(f6(a1,x64421),x64422),f319(f164(a1),f170(x64423,x64424))),f319(f157(x64421),f319(f319(f146(a1,x64421),x64422),f170(x64423,x64424)))) % 219.26/219.53 [6585]~E(x65852,f319(f319(f126(x65851),f319(f160(x65851),x65854)),f319(f319(f143(x65851),x65853),f105(x65851))))+E(f319(f160(x65851),x65852),f319(f319(f143(x65851),x65853),x65854)) % 219.26/219.53 [6603]~P20(x66032,x66033,x66034,x66031)+E(f319(x66031,f180(f932(x66032,a923))),f25(x66033)) % 219.26/219.53 [6629]~P113(x66291)+E(f319(f319(f93(f932(x66291,a923)),f298(x66291,x66292,x66293)),f319(f294(x66291,x66293),x66294)),f180(f932(x66291,a923))) % 219.26/219.53 [6845]E(x68451,f180(f932(x68452,a923)))+~E(f305(x68453,x68452,x68454,x68451),f180(f932(f933(x68453,x68452),a923))) % 219.26/219.53 [6846]E(x68461,f180(f932(x68462,a923)))+~E(f305(x68462,x68463,x68461,x68464),f180(f932(f933(x68462,x68463),a923))) % 219.26/219.53 [6918]~P4(x69182)+E(f319(f181(f926(x69181)),f142(x69181,x69182,x69183,x69184)),f319(f181(f926(x69181)),x69184)) % 219.26/219.53 [6929]~P1(f319(f242(x69293,x69294,x69291),x69292))+P1(f319(f319(x69291,f565(x69292,x69291)),x69292)) % 219.26/219.53 [6970]~P1(f319(f55(x69702),x69704))+P1(f319(f55(x69701),f319(f302(x69702,x69701,x69703),x69704))) % 219.26/219.53 [7202]~P26(x72022,x72021,x72023,x72024)+E(f319(f29(x72021),f319(f302(x72022,x72021,x72023),x72024)),f319(f29(x72022),x72024)) % 219.26/219.53 [7220]E(f319(f302(x72201,x72202,x72203),f319(f303(x72201,x72202,x72203),x72204)),x72204)+~E(f319(f302(x72201,x72202,x72203),f234(f932(x72201,a923))),f234(f932(x72202,a923))) % 219.26/219.53 [7633]~P26(x76331,x76332,x76333,f234(f932(x76331,a923)))+E(f319(f303(x76331,x76332,x76333),f319(f302(x76331,x76332,x76333),x76334)),x76334) % 219.26/219.53 [7913]E(x79131,x79132)+~P1(f319(f319(f321(x79133),x79131),f319(f164(x79133),f161(x79133,x79134,x79132)))) % 219.26/219.53 [7922]~E(x79221,f2(a925))+~P1(f319(f319(f321(x79222),x79223),f319(f164(x79222),f161(x79222,x79221,x79224)))) % 219.26/219.53 [7955]P1(f319(x79551,x79552))+~P1(f319(f319(f321(x79553),x79552),f319(f164(x79553),f169(x79553,x79551,x79554)))) % 219.26/219.53 [8065]~P1(f319(f319(f321(f926(x80651)),f319(f319(f143(x80651),x80652),x80654)),f153(x80651,x80653)))+P1(f319(f319(f321(x80651),x80652),x80653)) % 219.26/219.53 [8195]~P1(f319(f319(f321(x81951),x81952),f319(f164(x81951),f168(x81951,x81953,x81954))))+P1(f319(f319(f321(x81951),x81952),f319(f164(x81951),x81953))) % 219.26/219.53 [8196]~P1(f319(f319(f321(x81961),x81962),f319(f164(x81961),f162(x81961,x81964,x81963))))+P1(f319(f319(f321(x81961),x81962),f319(f164(x81961),x81963))) % 219.26/219.53 [8197]~P1(f319(f319(f321(x81971),x81972),f319(f164(x81971),f169(x81971,x81974,x81973))))+P1(f319(f319(f321(x81971),x81972),f319(f164(x81971),x81973))) % 219.26/219.53 [8207]E(f319(f181(f926(x82071)),x82072),x82073)+~P1(f319(f319(f321(f926(x82071)),x82072),f319(f164(f926(x82071)),f49(x82071,x82073,x82074)))) % 219.26/219.53 [8304]P1(f319(x83043,x83042))+E(f319(f128(x83041,f319(f319(f8(a923,a923,x83041),a314),f319(a316,x83042))),f319(f128(x83041,x83043),x83044)),f319(f128(x83041,x83043),x83044)) % 219.26/219.53 [8415]E(f319(f319(f156(x84151),f169(x84151,x84152,x84153)),x84154),f319(f319(f156(x84151),x84153),x84154))+~P1(f319(f319(f227(a925),x84154),f319(f181(f926(x84151)),f169(x84151,x84152,x84153)))) % 219.26/219.53 [8502]~P79(x85021)+E(f319(f319(f6(a925,x85021),f319(f319(f8(a925,x85021,a925),x85022),a104)),f319(f294(a925,x85023),x85024)),f319(f319(f6(a925,x85021),x85022),f319(f294(a925,f319(a104,x85023)),f319(a104,x85024)))) % 219.26/219.53 [8512]~P79(x85121)+E(f319(f319(f6(a925,x85121),f319(f319(f8(a925,x85121,a925),x85122),a104)),f295(a925,x85123,x85124)),f319(f319(f6(a925,x85121),x85122),f295(a925,f319(a104,x85123),f319(a104,x85124)))) % 219.26/219.53 [8641]~P26(x86411,x86413,x86414,f234(f932(x86411,a923)))+P26(x86411,f932(x86412,x86413),f319(f319(f8(x86413,f932(x86412,x86413),x86411),f16(x86413,x86412)),x86414),f234(f932(x86411,a923))) % 219.26/219.53 [8730]~P26(x87302,x87301,x87304,x87303)+E(f319(f302(x87301,x87302,f71(x87302,x87301,x87303,x87304)),f319(f302(x87302,x87301,x87304),x87303)),x87303) % 219.26/219.53 [8790]~P1(f319(f319(f321(f931(x87901,x87901)),f319(f319(f244(x87901,x87901),x87902),x87904)),f255(x87901,x87903)))+P1(f319(f319(f321(x87901),x87902),x87903)) % 219.26/219.53 [8914]~P26(x89142,x89141,x89143,f234(f932(x89142,a923)))+E(f319(f302(x89141,x89142,f85(x89142,x89141,f234(f932(x89142,a923)),x89143)),f319(f302(x89142,x89141,x89143),x89144)),x89144) % 219.26/219.53 [8989]~P27(x89891,x89892,x89893,x89894,f234(f932(x89892,a923)))+E(f319(f302(x89891,x89892,x89893),f234(f932(x89891,a923))),f234(f932(x89892,a923))) % 219.26/219.53 [9023]~E(f319(f319(f6(x90231,a925),x90234),x90233),f319(a104,x90232))+P1(f319(f319(f321(x90231),f466(x90232,x90233,x90234,x90231)),x90233)) % 219.26/219.53 [9044]~E(f319(f319(f6(x90444,a925),x90441),x90443),f319(a104,x90442))+P1(f319(f319(f227(a925),f2(a925)),f319(x90441,f466(x90442,x90443,x90441,x90444)))) % 219.26/219.53 [9055]~P1(f319(f55(x90552),x90554))+P1(f319(f319(f226(a925),f319(f29(x90551),f319(f302(x90552,x90551,x90553),x90554))),f319(f29(x90552),x90554))) % 219.26/219.53 [9056]E(f319(f319(f244(x90561,x90562),f661(x90563,x90564,x90562,x90561)),f662(x90563,x90564,x90562,x90561)),x90564)+~P1(f319(f319(f321(f931(x90561,x90562)),x90564),f319(f278(x90562,x90561),x90563))) % 219.26/219.53 [9064]P26(x90641,x90642,x90643,x90644)+P1(f319(f319(f321(x90641),f889(x90644,x90643,x90642,x90641)),x90644)) % 219.26/219.53 [9065]P26(x90651,x90652,x90653,x90654)+P1(f319(f319(f321(x90651),f890(x90654,x90653,x90652,x90651)),x90654)) % 219.26/219.53 [9134]P12(x91341,x91342,x91343,x91344)+P1(f319(f319(f321(f931(x91341,x91341)),f601(x91344,x91343,x91342,x91341)),x91343)) % 219.26/219.53 [9192]P1(f319(x91921,x91922))+~P1(f319(x91921,f319(f319(f244(x91923,x91924),f533(x91924,x91923,x91921)),f534(x91924,x91923,x91921)))) % 219.26/219.53 [9209]E(f319(f181(f926(x92091)),x92092),f319(f181(f926(x92091)),x92093))+~P1(f319(f319(f321(f931(f926(x92091),f926(x92091))),f319(f319(f244(f926(x92091),f926(x92091)),x92092),x92093)),f137(x92091,x92094))) % 219.26/219.53 [9210]E(f319(f181(f926(x92101)),x92102),f319(f181(f926(x92101)),x92103))+~P1(f319(f319(f321(f931(f926(x92101),f926(x92101))),f319(f319(f244(f926(x92101),f926(x92101)),x92102),x92103)),f149(x92101,x92104))) % 219.26/219.53 [9213]E(f319(f181(f926(x92131)),x92132),f319(f181(f926(x92131)),x92133))+~P1(f319(f319(f321(f931(f926(x92131),f926(x92131))),f319(f319(f244(f926(x92131),f926(x92131)),x92132),x92133)),f150(x92131,x92134))) % 219.26/219.53 [9284]P1(f319(f319(f226(a925),f147(x92841,x92842,x92843)),f147(x92841,x92844,x92843)))+P1(f319(f319(f321(x92841),f690(x92844,x92842,x92843,x92841)),f319(f164(x92841),x92843))) % 219.26/219.53 [9287]E(f319(f181(f926(x92871)),x92872),f319(f181(f926(x92871)),x92873))+~P1(f319(f319(f321(f931(f926(x92871),f926(x92871))),f319(f319(f244(f926(x92871),f926(x92871)),x92872),x92873)),f299(f926(x92871),f149(x92871,x92874)))) % 219.26/219.53 [9528]~P26(x95281,x95282,x95283,x95284)+~P1(f319(f319(f227(a925),f319(f29(x95282),f319(f302(x95281,x95282,x95283),x95284))),f319(f29(x95281),x95284))) % 219.26/219.53 [9576]~P1(f319(f319(f321(f931(f926(x95761),f926(x95761))),f319(f319(f244(f926(x95761),f926(x95761)),x95762),x95763)),f149(x95761,x95764)))+P1(f319(f319(f321(f931(f926(x95761),f926(x95761))),f319(f319(f244(f926(x95761),f926(x95761)),x95762),x95763)),f150(x95761,f299(x95761,x95764)))) % 219.26/219.53 [9580]~P1(f319(f319(f321(f931(f926(x95801),f926(x95801))),f319(f319(f244(f926(x95801),f926(x95801)),x95802),x95803)),f150(x95801,x95804)))+P1(f319(f319(f321(f931(f926(x95801),f926(x95801))),f319(f319(f244(f926(x95801),f926(x95801)),x95802),x95803)),f299(f926(x95801),f149(x95801,x95804)))) % 219.26/219.53 [9596]P1(f319(f319(f321(f931(x95961,x95961)),f319(f319(f244(x95961,x95961),x95962),x95963)),f299(x95961,x95964)))+~P1(f319(f319(f321(f931(x95961,x95961)),f319(f319(f244(x95961,x95961),x95962),x95963)),f319(f319(f281(x95961,x95961,x95961),x95964),f299(x95961,x95964)))) % 219.26/219.53 [9787]E(f319(f319(f126(x97871),f705(x97872,x97873,x97874,x97871)),f319(f319(f143(x97871),f706(x97872,x97873,x97874,x97871)),f708(x97872,x97873,x97874,x97871))),x97874)+~P1(f319(f319(f321(f931(f926(x97871),f926(x97871))),f319(f319(f244(f926(x97871),f926(x97871)),x97874),x97873)),f149(x97871,x97872))) % 219.26/219.53 [9788]E(f319(f319(f126(x97881),f705(x97882,x97883,x97884,x97881)),f319(f319(f143(x97881),f707(x97882,x97883,x97884,x97881)),f708(x97882,x97883,x97884,x97881))),x97883)+~P1(f319(f319(f321(f931(f926(x97881),f926(x97881))),f319(f319(f244(f926(x97881),f926(x97881)),x97884),x97883)),f149(x97881,x97882))) % 219.26/219.53 [9867]P1(f319(f319(f321(f931(x98671,x98671)),f319(f319(f244(x98671,x98671),x98672),f640(x98673,x98674,x98672,x98671))),f299(x98671,x98673)))+~P1(f319(f319(f321(f931(x98671,x98671)),f319(f319(f244(x98671,x98671),x98672),x98674)),f319(f319(f281(x98671,x98671,x98671),x98673),f299(x98671,x98673)))) % 219.26/219.53 [9939]P1(f319(f319(f226(a925),f147(x99391,x99392,x99393)),f147(x99391,x99394,x99393)))+~P1(f319(f319(f227(a925),f319(x99392,f690(x99394,x99392,x99393,x99391))),f319(x99394,f690(x99394,x99392,x99393,x99391)))) % 219.26/219.53 [10021]P1(f319(f319(f321(f931(x100211,x100211)),f319(f319(f244(x100211,x100211),f649(x100212,x100213,x100214,x100211)),x100213)),f299(x100211,x100212)))+~P1(f319(f319(f321(f931(x100211,x100211)),f319(f319(f244(x100211,x100211),x100214),x100213)),f319(f319(f281(x100211,x100211,x100211),x100212),f299(x100211,x100212)))) % 219.26/219.53 [5427]~E(x54272,x54273)+E(f162(x54271,x54272,f319(f319(f143(x54271),x54273),x54274)),x54274) % 219.26/219.53 [5548]P1(f319(x55482,x55483))+E(f169(x55481,x55482,f319(f319(f143(x55481),x55483),x55484)),f105(x55481)) % 219.26/219.53 [5615]~P67(x56152)+E(f319(f319(f73(f932(x56151,x56152)),x56153),x56154),f319(f73(x56152),f319(x56153,x56154))) % 219.26/219.53 [5628]~E(x56282,f2(a925))+E(f319(f319(f130(x56281),x56282),f319(f319(f143(x56281),x56283),x56284)),f319(f319(f143(x56281),x56283),x56284)) % 219.26/219.53 [5629]P1(f319(x56292,x56293))+E(f319(f128(x56291,x56292),f319(f319(f143(x56291),x56293),x56294)),f319(f128(x56291,x56292),x56294)) % 219.26/219.53 [5765]~E(x57652,x57654)+P1(f319(f319(f319(f301(x57651),x57652),x57653),x57654)) % 219.26/219.53 [5773]E(x57731,f105(x57732))+E(f136(x57733,f319(f319(f146(x57732,x57733),x57734),x57731)),f319(x57734,f136(x57732,x57731))) % 219.26/219.53 [5787]~E(x57871,f57(x57872,x57874))+E(f319(x57871,f319(f319(f301(x57872),x57873),f180(f932(x57872,a923)))),x57873) % 219.26/219.53 [5822]E(x58221,f105(x58222))+E(f319(f133(x58223),f319(f319(f146(x58222,x58223),x58224),x58221)),f319(x58224,f319(f133(x58222),x58221))) % 219.26/219.53 [5926]~P1(f319(x59263,x59264))+P1(f319(f319(f319(f301(x59261),x59262),x59263),x59264)) % 219.26/219.53 [6046]~P19(x60462,x60464,x60461)+E(f319(x60461,f319(f319(f301(x60462),x60463),f180(f932(x60462,a923)))),x60463) % 219.26/219.53 [6073]~E(x60732,x60733)+P1(f319(f319(f321(x60731),x60732),f319(f319(f301(x60731),x60733),x60734))) % 219.26/219.53 [6078]~P102(x60781)+E(f319(f319(f102(x60781),x60782),f319(f319(f102(x60781),x60783),x60784)),f319(f319(f102(x60781),x60783),f319(f319(f102(x60781),x60782),x60784))) % 219.26/219.53 [6080]~P107(x60801)+E(f319(f319(f102(x60801),x60802),f319(f319(f102(x60801),x60803),x60804)),f319(f319(f102(x60801),x60803),f319(f319(f102(x60801),x60802),x60804))) % 219.26/219.53 [6081]~P102(x60811)+E(f319(f319(f93(x60811),x60812),f319(f319(f93(x60811),x60813),x60814)),f319(f319(f93(x60811),x60813),f319(f319(f93(x60811),x60812),x60814))) % 219.26/219.53 [6083]~P108(x60831)+E(f319(f319(f93(x60831),x60832),f319(f319(f93(x60831),x60833),x60834)),f319(f319(f93(x60831),x60833),f319(f319(f93(x60831),x60832),x60834))) % 219.26/219.53 [6084]~P121(x60841)+E(f319(f319(f75(x60841),x60842),f319(f319(f75(x60841),x60843),x60844)),f319(f319(f75(x60841),x60843),f319(f319(f75(x60841),x60842),x60844))) % 219.26/219.53 [6085]~P121(x60851)+E(f319(f319(f74(x60851),x60852),f319(f319(f74(x60851),x60853),x60854)),f319(f319(f74(x60851),x60853),f319(f319(f74(x60851),x60852),x60854))) % 219.26/219.53 [6087]~P4(x60871)+E(f319(f319(f224(x60871),x60872),f319(f319(f224(x60871),x60873),x60874)),f319(f319(f224(x60871),x60873),f319(f319(f224(x60871),x60872),x60874))) % 219.26/219.53 [6089]~P4(x60891)+E(f319(f319(f225(x60891),x60892),f319(f319(f225(x60891),x60893),x60894)),f319(f319(f225(x60891),x60893),f319(f319(f225(x60891),x60892),x60894))) % 219.26/219.53 [6096]E(x60961,x60962)+E(f162(x60963,x60961,f319(f319(f143(x60963),x60962),x60964)),f319(f319(f143(x60963),x60962),f162(x60963,x60961,x60964))) % 219.26/219.53 [6111]~P1(f319(x61112,x61113))+E(f319(f128(x61111,x61112),f319(f319(f143(x61111),x61113),x61114)),f319(f319(f143(x61111),x61113),f319(f128(x61111,x61112),x61114))) % 219.26/219.53 [6251]~P1(f319(x62512,x62513))+E(f169(x62511,x62512,f319(f319(f143(x62511),x62513),x62514)),f319(f319(f143(x62511),x62513),f169(x62511,x62512,x62514))) % 219.26/219.53 [6313]E(x63131,f180(f932(x63132,a923)))+E(f319(f319(f33(x63132,f932(x63133,a923)),x63131),f319(f16(f932(x63133,a923),x63132),x63134)),x63134) % 219.26/219.53 [6314]E(x63141,f180(f932(x63142,a923)))+E(f319(f319(f34(x63142,f932(x63143,a923)),x63141),f319(f16(f932(x63143,a923),x63142),x63144)),x63144) % 219.26/219.53 [6323]~E(x63234,f180(f932(x63232,a923)))+E(f319(f319(f246(x63231,x63232),x63233),f319(f16(f932(x63232,a923),x63231),x63234)),f180(f932(f931(x63231,x63232),a923))) % 219.26/219.53 [6324]~E(x63243,f180(f932(x63241,a923)))+E(f319(f319(f246(x63241,x63242),x63243),f319(f16(f932(x63242,a923),x63241),x63244)),f180(f932(f931(x63241,x63242),a923))) % 219.26/219.53 [6375]E(x63751,f2(a925))+E(f319(f319(f130(x63752),x63751),f319(f319(f143(x63752),x63753),x63754)),f319(f319(f130(x63752),f319(f319(f23(a925),x63751),f72(a925))),x63754)) % 219.26/219.53 [6396]E(x63961,f180(f932(x63962,a923)))+E(f319(f302(x63962,x63963,f319(f16(x63963,x63962),x63964)),x63961),f319(f319(f301(x63963),x63964),f180(f932(x63963,a923)))) % 219.26/219.53 [6399]E(f319(f303(x63991,x63992,f319(f16(x63992,x63991),x63993)),x63994),f180(f932(x63991,a923)))+P1(f319(f319(f321(x63992),x63993),x63994)) % 219.26/219.53 [6465]~E(x64653,f180(f932(x64651,a923)))+E(f319(f319(f33(x64651,f932(x64652,a923)),x64653),f319(f16(f932(x64652,a923),x64651),x64654)),f180(f932(x64652,a923))) % 219.26/219.53 [6466]~E(x64663,f180(f932(x64661,a923)))+E(f319(f319(f34(x64661,f932(x64662,a923)),x64663),f319(f16(f932(x64662,a923),x64661),x64664)),f234(f932(x64662,a923))) % 219.26/219.53 [6468]~P65(x64681)+E(f39(x64681,f319(f319(f75(x64681),x64682),x64683),f319(f319(f75(x64681),x64682),x64684)),f319(f319(f75(x64681),x64682),f39(x64681,x64683,x64684))) % 219.26/219.53 [6639]E(f319(f303(x66391,x66392,f319(f16(x66392,x66391),x66393)),x66394),f234(f932(x66391,a923)))+~P1(f319(f319(f321(x66392),x66393),x66394)) % 219.26/219.53 [6663]~P1(f319(f319(f321(x66631),x66632),x66634))+P1(f319(f319(f321(x66631),x66632),f319(f319(f301(x66631),x66633),x66634))) % 219.26/219.53 [6668]P1(f319(x66681,x66682))+~P1(f319(f152(x66683,x66681),f319(f319(f143(x66683),x66682),x66684))) % 219.26/219.53 [6677]~E(x66773,f319(f319(f23(a925),f319(f181(f926(x66771)),x66772)),f72(a925)))+E(f106(x66771,f319(f319(f151(x66771,x66772),x66773),x66774)),f106(x66771,x66772)) % 219.26/219.53 [6697]~P4(x66971)+E(f319(f319(f93(f932(x66971,a923)),f319(f293(x66971),x66972)),f295(x66971,x66973,x66974)),f295(x66971,x66973,f319(f319(f224(x66971),x66972),x66974))) % 219.26/219.53 [6698]~P4(x66981)+E(f319(f319(f93(f932(x66981,a923)),f319(f275(x66981),x66982)),f295(x66981,x66983,x66984)),f295(x66981,f319(f319(f225(x66981),x66982),x66983),x66984)) % 219.26/219.53 [6714]E(f319(f319(f93(f932(x67141,a923)),x67142),f319(f319(f301(x67141),x67143),x67144)),f319(f319(f93(f932(x67141,a923)),x67142),x67144))+P1(f319(f319(f321(x67141),x67143),x67142)) % 219.26/219.53 [6726]E(f162(x67261,x67262,f319(f319(f126(x67261),x67263),x67264)),f319(f319(f126(x67261),x67263),f162(x67261,x67262,x67264)))+P1(f319(f319(f321(x67261),x67262),f319(f164(x67261),x67263))) % 219.26/219.53 [6731]~P87(x67311)+E(f319(f319(f75(x67311),f319(f319(f236(x67311),x67312),x67313)),f319(f319(f236(x67311),x67312),x67314)),f319(f319(f236(x67311),x67312),f319(f319(f74(a925),x67313),x67314))) % 219.26/219.53 [6732]~P121(x67321)+E(f319(f319(f75(x67321),f319(f319(f236(x67321),x67322),x67323)),f319(f319(f236(x67321),x67322),x67324)),f319(f319(f236(x67321),x67322),f319(f319(f74(a925),x67323),x67324))) % 219.26/219.53 [6769]~P106(x67691)+E(f319(f319(f93(x67691),f319(f319(f102(x67691),x67692),x67693)),f319(f319(f102(x67691),x67692),x67694)),f319(f319(f102(x67691),x67692),f319(f319(f93(x67691),x67693),x67694))) % 219.26/219.53 [6770]~P106(x67701)+E(f319(f319(f102(x67701),f319(f319(f93(x67701),x67702),x67703)),f319(f319(f93(x67701),x67702),x67704)),f319(f319(f93(x67701),x67702),f319(f319(f102(x67701),x67703),x67704))) % 219.26/219.53 [6771]~P121(x67711)+E(f319(f319(f74(x67711),f319(f319(f75(x67711),x67712),x67713)),f319(f319(f75(x67711),x67712),x67714)),f319(f319(f75(x67711),x67712),f319(f319(f74(x67711),x67713),x67714))) % 219.26/219.53 [6772]~P4(x67721)+E(f319(f319(f225(x67721),f319(f319(f224(x67721),x67722),x67723)),f319(f319(f224(x67721),x67722),x67724)),f319(f319(f224(x67721),x67722),f319(f319(f225(x67721),x67723),x67724))) % 219.26/219.53 [6773]~P4(x67731)+E(f319(f319(f224(x67731),f319(f319(f225(x67731),x67732),x67733)),f319(f319(f225(x67731),x67732),x67734)),f319(f319(f225(x67731),x67732),f319(f319(f224(x67731),x67733),x67734))) % 219.26/219.53 [6808]~P65(x68081)+E(f39(x68081,f319(f319(f75(x68081),x68082),x68083),f319(f319(f75(x68081),x68084),x68083)),f319(f319(f75(x68081),f39(x68081,x68082,x68084)),x68083)) % 219.26/219.53 [6811]~E(f319(f181(f926(x68111)),x68113),f319(f181(f926(x68112)),x68114))+E(f319(f319(f146(f931(x68111,x68112),x68112),f248(x68111,x68112)),f319(f319(f173(x68111,x68112),x68113),x68114)),x68114) % 219.26/219.53 [6812]~E(f319(f181(f926(x68121)),x68123),f319(f181(f926(x68122)),x68124))+E(f319(f319(f146(f931(x68121,x68122),x68121),f243(x68121,x68122)),f319(f319(f173(x68121,x68122),x68123),x68124)),x68123) % 219.26/219.53 [6817]P1(f319(f152(x68171,x68172),x68173))+~P1(f319(f152(x68171,x68172),f319(f319(f143(x68171),x68174),x68173))) % 219.26/219.53 [6818]P1(f319(f152(x68181,x68182),x68183))+~P1(f319(f152(x68181,x68182),f319(f319(f126(x68181),x68184),x68183))) % 219.26/219.53 [6819]P1(f319(f152(x68191,x68192),x68193))+~P1(f319(f152(x68191,x68192),f319(f319(f126(x68191),x68193),x68194))) % 219.26/219.53 [6824]~P66(x68241)+E(f39(x68241,f319(f319(f23(x68241),x68242),f39(x68241,x68243,x68244)),x68244),f39(x68241,f319(f319(f23(x68241),x68242),x68243),x68244)) % 219.26/219.53 [6825]~P65(x68251)+E(f39(x68251,f319(f319(f75(x68251),x68252),f39(x68251,x68253,x68254)),x68254),f39(x68251,f319(f319(f75(x68251),x68252),x68253),x68254)) % 219.26/219.53 [6827]~P65(x68271)+E(f39(x68271,f319(f319(f74(x68271),x68272),f39(x68271,x68273,x68274)),x68274),f39(x68271,f319(f319(f74(x68271),x68272),x68273),x68274)) % 219.26/219.53 [6909]~P4(x69091)+E(f319(f319(f93(f932(x69091,a923)),f295(x69091,x69092,x69093)),f319(f293(x69091),x69094)),f295(x69091,x69092,f319(f319(f224(x69091),x69093),x69094))) % 219.26/219.53 [6910]~P4(x69101)+E(f319(f319(f93(f932(x69101,a923)),f295(x69101,x69102,x69103)),f319(f275(x69101),x69104)),f295(x69101,f319(f319(f225(x69101),x69102),x69104),x69103)) % 219.26/219.53 [6913]~E(f319(f181(f926(x69131)),x69133),f319(f181(f926(x69132)),x69134))+E(f319(f319(f173(x69131,x69132),f319(f160(x69131),x69133)),f319(f160(x69132),x69134)),f319(f160(f931(x69131,x69132)),f319(f319(f173(x69131,x69132),x69133),x69134))) % 219.26/219.53 [6926]E(x69261,f319(f319(f23(a925),f319(f181(f926(x69262)),x69263)),f72(a925)))+E(f106(x69262,f319(f319(f151(x69262,x69263),x69261),x69264)),f319(f319(f151(x69262,f106(x69262,x69263)),x69261),x69264)) % 219.26/219.53 [6941]~P1(f319(f129(x69412),x69414))+P1(f319(f129(f931(x69411,x69412)),f319(f319(f173(x69411,x69412),x69413),x69414))) % 219.26/219.53 [6942]~P1(f319(f129(x69421),x69423))+P1(f319(f129(f931(x69421,x69422)),f319(f319(f173(x69421,x69422),x69423),x69424))) % 219.26/219.53 [7205]E(f319(f319(f30(a925),x72051),x72052),x72053)+~P1(f319(f42(x72051,x72052),f319(f319(f244(a925,a925),x72053),x72054))) % 219.26/219.53 [7228]E(f39(a925,x72281,x72282),x72283)+~P1(f319(f42(x72281,x72282),f319(f319(f244(a925,a925),x72284),x72283))) % 219.26/219.53 [7231]P1(f319(f129(x72311),x72312))+~P1(f319(f129(x72313),f319(f319(f146(x72311,x72313),x72314),x72312))) % 219.26/219.53 [7315]E(f162(x73151,x73152,f319(f319(f126(x73151),x73153),x73154)),f319(f319(f126(x73151),f162(x73151,x73152,x73153)),x73154))+~P1(f319(f319(f321(x73151),x73152),f319(f164(x73151),x73153))) % 219.26/219.53 [7408]~P66(x74081)+E(f39(x74081,f319(f319(f23(x74081),f39(x74081,x74082,x74083)),x74084),x74083),f39(x74081,f319(f319(f23(x74081),x74082),x74084),x74083)) % 219.26/219.53 [7411]~P65(x74111)+E(f39(x74111,f319(f319(f75(x74111),f39(x74111,x74112,x74113)),x74114),x74113),f39(x74111,f319(f319(f75(x74111),x74112),x74114),x74113)) % 219.26/219.53 [7412]~P65(x74121)+E(f39(x74121,f319(f319(f74(x74121),f39(x74121,x74122,x74123)),x74124),x74123),f39(x74121,f319(f319(f74(x74121),x74122),x74124),x74123)) % 219.26/219.53 [7604]~E(x76041,f319(f319(f143(x76042),x76043),x76044))+~P1(f319(f319(f226(a925),f319(f181(f926(x76042)),x76041)),f319(f181(f926(x76042)),x76044))) % 219.26/219.53 [7804]P26(x78041,x78042,x78043,f319(f164(x78041),x78044))+~P1(f319(f129(x78042),f319(f319(f146(x78041,x78042),x78043),x78044))) % 219.26/219.53 [7879]~P1(f319(f319(f226(f932(x78791,a923)),x78792),x78794))+P1(f319(f319(f226(f932(x78791,a923)),x78792),f319(f319(f301(x78791),x78793),x78794))) % 219.26/219.53 [7914]~P66(x79141)+E(f39(x79141,f319(f319(f23(x79141),f39(x79141,x79142,x79143)),f39(x79141,x79144,x79143)),x79143),f39(x79141,f319(f319(f23(x79141),x79142),x79144),x79143)) % 219.26/219.53 [7915]~P65(x79151)+E(f39(x79151,f319(f319(f75(x79151),f39(x79151,x79152,x79153)),f39(x79151,x79154,x79153)),x79153),f39(x79151,f319(f319(f75(x79151),x79152),x79154),x79153)) % 219.26/219.53 [7916]~P65(x79161)+E(f39(x79161,f319(f319(f74(x79161),f39(x79161,x79162,x79163)),f39(x79161,x79164,x79163)),x79163),f39(x79161,f319(f319(f74(x79161),x79162),x79164),x79163)) % 219.26/219.53 [8018]~E(f319(x80184,f783(x80184,x80183,x80181,x80182)),f234(f932(x80182,a923)))+E(f319(f319(f34(x80181,f932(x80182,a923)),x80183),x80184),f234(f932(x80182,a923))) % 219.26/219.53 [8019]~E(f319(x80194,f881(x80194,x80193,x80191,x80192)),f180(f932(x80192,a923)))+E(f319(f319(f33(x80191,f932(x80192,a923)),x80193),x80194),f180(f932(x80192,a923))) % 219.26/219.53 [8020]~E(f319(x80204,f877(x80204,x80203,x80202,x80201)),f180(f932(x80202,a923)))+E(f319(f319(f33(x80201,f932(x80202,a923)),x80203),x80204),f180(f932(x80202,a923))) % 219.26/219.53 [8021]~E(f319(x80214,f790(x80214,x80213,x80212,x80211)),f234(f932(x80212,a923)))+E(f319(f319(f34(x80211,f932(x80212,a923)),x80213),x80214),f234(f932(x80212,a923))) % 219.26/219.53 [8416]P1(f319(x84161,x84162))+~P1(f319(f319(f321(x84163),x84162),f319(f319(f93(f932(x84163,a923)),x84164),f319(f254(x84163),x84161)))) % 219.26/219.53 [8453]~P1(f319(f319(f226(f932(x84531,a923)),x84533),x84534))+P1(f319(f319(f226(f932(x84531,a923)),f319(f319(f301(x84531),x84532),x84533)),f319(f319(f301(x84531),x84532),x84534))) % 219.26/219.53 [8463]E(f319(x84631,f895(x84631,x84632,x84633)),x84633)+~P1(f319(f319(f321(x84634),x84633),f319(f302(x84632,x84634,x84631),f234(f932(x84632,a923))))) % 219.26/219.53 [8634]P1(f319(x86342,x86343))+E(f319(f319(f130(x86341),f319(f181(f926(x86341)),f169(x86341,x86342,f319(f319(f143(x86341),x86343),x86344)))),f319(f319(f143(x86341),x86343),x86344)),f319(f319(f143(x86341),x86343),x86344)) % 219.26/219.53 [8744]~P1(f319(f319(f227(a925),f319(x87444,x87442)),f319(x87444,x87443)))+P1(f319(f319(f321(f931(x87441,x87441)),f319(f319(f244(x87441,x87441),x87442),x87443)),f319(f319(f280(a925,x87441),a232),x87444))) % 219.26/219.53 [8841]~P1(f319(x88412,f761(x88414,x88412,x88413,x88411)))+E(f169(x88411,x88412,f319(f319(f126(x88411),x88413),x88414)),f319(f319(f126(x88411),x88413),f169(x88411,x88412,x88414))) % 219.26/219.53 [8918]P26(f926(x89181),f926(x89182),f319(f146(x89181,x89182),x89183),x89184)+~P26(x89181,x89182,x89183,f31(f932(x89181,a923),f319(f302(f926(x89181),f932(x89181,a923),f164(x89181)),x89184))) % 219.26/219.53 [8993]~P1(f319(x89932,x89933))+E(f319(f319(f130(x89931),f319(f181(f926(x89931)),f169(x89931,x89932,f319(f319(f143(x89931),x89933),x89934)))),f319(f319(f143(x89931),x89933),x89934)),f319(f319(f130(x89931),f319(f181(f926(x89931)),f169(x89931,x89932,x89934))),x89934)) % 219.26/219.53 [9035]~E(x90352,x90353)+E(f319(f128(x90351,f319(f319(f8(a923,a923,x90351),a314),f319(a316,x90352))),f319(f319(f143(x90351),x90353),x90354)),f319(f128(x90351,f319(f319(f8(a923,a923,x90351),a314),f319(a316,x90352))),x90354)) % 219.26/219.53 [9045]E(f319(f319(f34(x90451,f932(x90452,a923)),x90453),x90454),f234(f932(x90452,a923)))+P1(f319(f319(f321(x90451),f783(x90454,x90453,x90451,x90452)),x90453)) % 219.26/219.53 [9046]E(f319(f319(f33(x90461,f932(x90462,a923)),x90463),x90464),f180(f932(x90462,a923)))+P1(f319(f319(f321(x90461),f881(x90464,x90463,x90461,x90462)),x90463)) % 219.26/219.53 [9047]E(f319(f319(f33(x90471,f932(x90472,a923)),x90473),x90474),f180(f932(x90472,a923)))+P1(f319(f319(f321(x90471),f877(x90474,x90473,x90472,x90471)),x90473)) % 219.26/219.53 [9048]E(f319(f319(f34(x90481,f932(x90482,a923)),x90483),x90484),f234(f932(x90482,a923)))+P1(f319(f319(f321(x90481),f790(x90484,x90483,x90482,x90481)),x90483)) % 219.26/219.53 [9086]P1(f319(f319(f227(a925),f319(x90861,x90862)),f319(x90861,x90863)))+~P1(f319(f319(f321(f931(x90864,x90864)),f319(f319(f244(x90864,x90864),x90862),x90863)),f319(f319(f280(a925,x90864),a232),x90861))) % 219.26/219.53 [9113]E(f169(x91131,x91132,f319(f319(f126(x91131),x91133),x91134)),f319(f319(f126(x91131),x91133),f169(x91131,x91132,x91134)))+P1(f319(f319(f321(x91131),f761(x91134,x91132,x91133,x91131)),f319(f164(x91131),x91133))) % 219.26/219.53 [9168]~P27(x91681,x91682,x91683,f234(f932(x91681,a923)),f234(f932(x91682,a923)))+E(f319(f302(x91681,x91682,x91683),f319(f73(f932(x91681,a923)),x91684)),f319(f73(f932(x91682,a923)),f319(f302(x91681,x91682,x91683),x91684))) % 219.26/219.53 [9273]P1(f319(f319(f321(x92731),f522(x92732,x92733,x92734,x92731)),x92733))+~P1(f319(f319(f321(f932(x92731,a923)),x92734),f319(f319(f54(x92731),x92733),x92732))) % 219.26/219.53 [9276]E(x92761,x92762)+~P1(f319(f319(f321(f931(x92763,x92763)),f319(f319(f244(x92763,x92763),x92761),x92762)),f319(f319(f175(f931(x92763,x92763),a923),f2(a925)),x92764))) % 219.26/219.53 [9358]E(f319(f277(x93581,x93581,x93582),f319(f319(f301(x93581),f522(x93582,x93583,x93584,x93581)),f180(f932(x93581,a923)))),x93584)+~P1(f319(f319(f321(f932(x93581,a923)),x93584),f319(f319(f54(x93581),x93583),x93582))) % 219.26/219.53 [9363]~P1(f319(f319(f321(f931(x93631,x93631)),f319(f319(f244(x93631,x93631),x93633),x93632)),f299(x93631,x93634)))+P1(f319(f319(f321(f931(x93631,x93631)),f319(f319(f244(x93631,x93631),x93632),x93633)),f299(x93631,f319(f278(x93631,x93631),x93634)))) % 219.26/219.53 [9376]~P65(x93761)+E(f319(f319(f74(x93761),f319(f319(f74(x93761),f319(f319(f75(x93761),x93762),f319(f319(f30(x93761),x93763),x93762))),f39(x93761,x93763,x93762))),x93764),f319(f319(f74(x93761),x93763),x93764)) % 219.26/219.53 [9389]~P1(f319(f319(f321(x93891),x93893),x93894))+P1(f319(f319(f321(f932(x93891,a923)),f319(f277(x93891,x93891,x93892),f319(f319(f301(x93891),x93893),f180(f932(x93891,a923))))),f319(f319(f54(x93891),x93894),x93892))) % 219.26/219.53 [9401]P1(f319(f319(f321(f931(x94011,x94011)),f319(f319(f244(x94011,x94011),x94012),x94013)),f299(x94011,x94014)))+~P1(f319(f319(f321(f931(x94011,x94011)),f319(f319(f244(x94011,x94011),x94013),x94012)),f299(x94011,f319(f278(x94011,x94011),x94014)))) % 219.26/219.53 [9487]E(f319(f319(f151(x94871,f319(f160(x94871),x94872)),f319(f319(f23(a925),f319(f319(f23(a925),f319(f181(f926(x94871)),x94872)),x94873)),f72(a925))),x94874),f319(f160(x94871),f319(f319(f151(x94871,x94872),x94873),x94874)))+~P1(f319(f319(f227(a925),x94873),f319(f181(f926(x94871)),x94872))) % 219.26/219.53 [9491]~P1(f319(x94912,f753(x94914,x94912,x94913,x94911)))+E(f319(f319(f130(x94911),f319(f181(f926(x94911)),f169(x94911,x94912,f319(f319(f126(x94911),x94913),x94914)))),f319(f319(f126(x94911),x94913),x94914)),f319(f319(f130(x94911),f319(f181(f926(x94911)),f169(x94911,x94912,x94914))),x94914)) % 219.26/219.53 [9536]~P26(x95362,x95361,x95363,f234(f932(x95362,a923)))+P1(f319(f319(f226(f932(x95361,a923)),f319(f302(x95362,x95361,x95363),f319(f73(f932(x95362,a923)),x95364))),f319(f73(f932(x95361,a923)),f319(f302(x95362,x95361,x95363),x95364)))) % 219.26/219.53 [9549]~P6(x95491)+E(f319(f134(x95491,x95492,f319(f7(x95492,x95491,x95491),f319(f319(f8(x95491,f932(x95491,x95491),x95492),f102(x95491)),x95493)),f180(x95491)),x95494),f319(f319(f33(x95492,x95491),f319(f164(x95492),x95494)),x95493)) % 219.26/219.53 [9550]~P6(x95501)+E(f319(f134(x95501,x95502,f319(f7(x95502,x95501,x95501),f319(f319(f8(x95501,f932(x95501,x95501),x95502),f93(x95501)),x95503)),f234(x95501)),x95504),f319(f319(f34(x95502,x95501),f319(f164(x95502),x95504)),x95503)) % 219.26/219.53 [9560]E(f319(f319(f130(x95601),f319(f181(f926(x95601)),f169(x95601,x95602,f319(f319(f126(x95601),x95603),x95604)))),f319(f319(f126(x95601),x95603),x95604)),f319(f319(f130(x95601),f319(f181(f926(x95601)),f169(x95601,x95602,x95604))),x95604))+P1(f319(f319(f321(x95601),f753(x95604,x95602,x95603,x95601)),f319(f164(x95601),x95603))) % 219.26/219.53 [9630]~P1(f319(f319(f321(f931(f926(x96304),f926(x96304))),f319(f319(f244(f926(x96304),f926(x96304)),x96303),x96302)),f149(x96304,x96301)))+P1(f319(f319(f227(a925),f692(x96301,x96302,x96303,x96304)),f319(f181(f926(x96304)),x96303))) % 219.26/219.53 [9631]~P65(x96311)+E(f319(f319(f74(x96311),f319(f319(f74(x96311),f319(f319(f75(x96311),f319(f319(f30(x96311),x96312),x96313)),x96313)),f39(x96311,x96312,x96313))),x96314),f319(f319(f74(x96311),x96312),x96314)) % 219.26/219.53 [9661]~P1(f319(f319(f321(f931(f926(x96611),f926(x96611))),f319(f319(f244(f926(x96611),f926(x96611)),x96612),x96613)),f319(f278(f926(x96611),f926(x96611)),f149(x96611,x96614))))+P1(f319(f319(f321(f931(f926(x96611),f926(x96611))),f319(f319(f244(f926(x96611),f926(x96611)),x96612),x96613)),f149(x96611,f319(f278(x96611,x96611),x96614)))) % 219.26/219.53 [9662]P1(f319(f319(f321(f931(f926(x96621),f926(x96621))),f319(f319(f244(f926(x96621),f926(x96621)),x96622),x96623)),f319(f278(f926(x96621),f926(x96621)),f149(x96621,x96624))))+~P1(f319(f319(f321(f931(f926(x96621),f926(x96621))),f319(f319(f244(f926(x96621),f926(x96621)),x96622),x96623)),f149(x96621,f319(f278(x96621,x96621),x96624)))) % 219.26/219.53 [9702]~P1(f319(f319(f321(x97021),x97023),f319(f256(x97021,x97022),x97024)))+P1(f319(f319(f321(f931(x97021,x97022)),f319(f319(f244(x97021,x97022),x97023),f573(x97024,x97022,x97023,x97021))),x97024)) % 219.26/219.53 [9703]~P1(f319(f319(f321(x97031),x97033),f319(f256(x97031,x97032),x97034)))+P1(f319(f319(f321(f931(x97031,x97032)),f319(f319(f244(x97031,x97032),x97033),f575(x97034,x97032,x97033,x97031))),x97034)) % 219.26/219.53 [9862]~P1(f319(f319(f321(f931(x98621,x98621)),f319(f319(f244(x98621,x98621),x98622),x98624)),f319(f319(f281(x98621,x98621,x98621),x98623),f299(x98621,x98623))))+P1(f319(f319(f321(f931(x98621,x98621)),f319(f319(f244(x98621,x98621),x98622),f649(x98623,x98624,x98622,x98621))),x98623)) % 219.26/219.53 [10036]P12(x100361,x100362,x100363,x100364)+P1(f319(f319(f321(f931(x100361,x100361)),f319(f319(f244(x100361,x100361),f859(x100362,x100364,x100363,x100361)),f858(x100362,x100364,x100363,x100361))),x100363)) % 219.26/219.53 [10044]~P1(f319(f319(f321(f931(x100442,x100441)),x100444),f319(f278(x100441,x100442),x100443)))+P1(f319(f319(f321(f931(x100441,x100442)),f319(f319(f244(x100441,x100442),f662(x100443,x100444,x100441,x100442)),f661(x100443,x100444,x100441,x100442))),x100443)) % 219.26/219.53 [10069]~P1(f319(f319(f321(f931(f926(x100691),f926(x100691))),f319(f319(f244(f926(x100691),f926(x100691)),x100694),x100693)),f149(x100691,x100692)))+P1(f319(f319(f321(f931(x100691,x100691)),f319(f319(f244(x100691,x100691),f706(x100692,x100693,x100694,x100691)),f707(x100692,x100693,x100694,x100691))),x100692)) % 219.26/219.53 [10162]~P1(f319(f319(f321(f931(f926(x101621),f926(x101621))),f319(f319(f244(f926(x101621),f926(x101621)),x101622),x101624)),f149(x101621,x101623)))+P1(f319(f319(f321(f931(x101621,x101621)),f319(f319(f244(x101621,x101621),f319(f319(f156(x101621),x101622),f692(x101623,x101624,x101622,x101621))),f693(x101623,x101624,x101622,x101621))),x101623)) % 219.26/219.53 [10182]~P1(f319(f55(x101822),x101824))+E(f319(f319(f319(f59(f932(x101821,a923),x101822,f102(f932(x101821,a923))),f319(f319(f7(x101822,f932(x101821,a923),f932(x101821,a923)),f319(f319(f8(x101821,f932(f932(x101821,a923),f932(x101821,a923)),x101822),f301(x101821)),x101823)),f180(f932(x101821,a923)))),f180(f932(x101821,a923))),x101824),f319(f302(x101822,x101821,x101823),x101824)) % 219.26/219.53 [10297]~P26(x102971,x102972,x102973,f234(f932(x102971,a923)))+P1(f319(f319(f226(f932(x102971,a923)),f319(f303(x102971,x102972,x102973),f319(f319(f301(x102972),x102974),f180(f932(x102972,a923))))),f319(f319(f301(x102971),f79(x102971,f319(f319(f7(x102971,x102972,a923),f319(f319(f8(x102972,f932(x102972,a923),x102971),a316),x102973)),x102974))),f180(f932(x102971,a923))))) % 219.26/219.53 [5833]~E(f319(f319(f126(x58331),x58332),x58334),x58333)+E(f319(f319(f167(x58331),f319(f181(f926(x58331)),x58332)),x58333),x58332) % 219.26/219.53 [5834]~E(f319(f319(f126(x58342),x58343),x58341),x58344)+E(x58341,f319(f319(f130(x58342),f319(f181(f926(x58342)),x58343)),x58344)) % 219.26/219.53 [5845]~E(x58454,f2(a925))+E(f319(f319(f156(x58451),f319(f319(f143(x58451),x58452),x58453)),x58454),x58452) % 219.26/219.53 [6388]~P121(x63881)+E(f319(f319(f236(x63881),f319(f319(f236(x63881),x63882),x63883)),x63884),f319(f319(f236(x63881),x63882),f319(f319(f75(a925),x63883),x63884))) % 219.26/219.53 [6389]~P87(x63891)+E(f319(f319(f236(x63891),f319(f319(f236(x63891),x63892),x63893)),x63894),f319(f319(f236(x63891),x63892),f319(f319(f75(a925),x63893),x63894))) % 219.26/219.53 [6397]E(x63971,f2(a925))+E(f319(f319(f156(x63972),f319(f319(f143(x63972),x63973),x63974)),x63971),f319(f319(f156(x63972),x63974),f319(f319(f23(a925),x63971),f72(a925)))) % 219.26/219.53 [6424]~P124(x64241)+E(f319(f319(f283(x64241),f319(f319(f75(x64241),x64242),x64243)),x64244),f319(f319(f75(x64241),x64242),f319(f319(f283(x64241),x64243),x64244))) % 219.26/219.53 [6426]~P102(x64261)+E(f319(f319(f102(x64261),f319(f319(f102(x64261),x64262),x64263)),x64264),f319(f319(f102(x64261),x64262),f319(f319(f102(x64261),x64263),x64264))) % 219.26/219.53 [6428]~P107(x64281)+E(f319(f319(f102(x64281),f319(f319(f102(x64281),x64282),x64283)),x64284),f319(f319(f102(x64281),x64282),f319(f319(f102(x64281),x64283),x64284))) % 219.26/219.53 [6429]~P102(x64291)+E(f319(f319(f93(x64291),f319(f319(f93(x64291),x64292),x64293)),x64294),f319(f319(f93(x64291),x64292),f319(f319(f93(x64291),x64293),x64294))) % 219.26/219.53 [6431]~P108(x64311)+E(f319(f319(f93(x64311),f319(f319(f93(x64311),x64312),x64313)),x64314),f319(f319(f93(x64311),x64312),f319(f319(f93(x64311),x64313),x64314))) % 219.26/219.53 [6432]~P76(x64321)+E(f319(f319(f75(x64321),f319(f319(f75(x64321),x64322),x64323)),x64324),f319(f319(f75(x64321),x64322),f319(f319(f75(x64321),x64323),x64324))) % 219.26/219.53 [6433]~P121(x64331)+E(f319(f319(f75(x64331),f319(f319(f75(x64331),x64332),x64333)),x64334),f319(f319(f75(x64331),x64332),f319(f319(f75(x64331),x64333),x64334))) % 219.26/219.53 [6435]~P121(x64351)+E(f319(f319(f74(x64351),f319(f319(f74(x64351),x64352),x64353)),x64354),f319(f319(f74(x64351),x64352),f319(f319(f74(x64351),x64353),x64354))) % 219.26/219.53 [6436]~P77(x64361)+E(f319(f319(f74(x64361),f319(f319(f74(x64361),x64362),x64363)),x64364),f319(f319(f74(x64361),x64362),f319(f319(f74(x64361),x64363),x64364))) % 219.26/219.53 [6438]~P4(x64381)+E(f319(f319(f224(x64381),f319(f319(f224(x64381),x64382),x64383)),x64384),f319(f319(f224(x64381),x64382),f319(f319(f224(x64381),x64383),x64384))) % 219.26/219.53 [6440]~P4(x64401)+E(f319(f319(f225(x64401),f319(f319(f225(x64401),x64402),x64403)),x64404),f319(f319(f225(x64401),x64402),f319(f319(f225(x64401),x64403),x64404))) % 219.26/219.53 [6449]~P65(x64491)+E(f39(x64491,f319(f319(f74(x64491),x64492),f319(f319(f75(x64491),x64493),x64494)),x64494),f39(x64491,x64492,x64494)) % 219.26/219.53 [6450]~P65(x64501)+E(f39(x64501,f319(f319(f74(x64501),x64502),f319(f319(f75(x64501),x64503),x64504)),x64503),f39(x64501,x64502,x64503)) % 219.26/219.53 [6586]E(f319(f319(f156(x65861),f319(f319(f167(x65861),x65862),x65863)),x65864),f319(f319(f156(x65861),x65863),x65864))+~P1(f319(f319(f227(a925),x65864),x65862)) % 219.26/219.53 [6765]~E(x67652,x67654)+P1(f319(f319(f164(x67651),f319(f319(f143(x67651),x67652),x67653)),x67654)) % 219.26/219.53 [6767]~P121(x67671)+E(f319(f319(f75(x67671),f319(f319(f75(x67671),x67672),x67673)),x67674),f319(f319(f75(x67671),f319(f319(f75(x67671),x67672),x67674)),x67673)) % 219.26/219.53 [6768]~P121(x67681)+E(f319(f319(f74(x67681),f319(f319(f74(x67681),x67682),x67683)),x67684),f319(f319(f74(x67681),f319(f319(f74(x67681),x67682),x67684)),x67683)) % 219.26/219.53 [6830]~P149(x68302)+E(f319(f319(f6(x68301,x68302),f319(f16(x68302,x68301),x68303)),x68304),f319(f319(f75(x68302),f319(f92(x68302),f319(f29(x68301),x68304))),x68303)) % 219.26/219.53 [7002]E(f319(f319(f93(f932(x70021,a923)),f319(f319(f301(x70021),x70022),x70023)),x70024),f319(f319(f93(f932(x70021,a923)),x70023),x70024))+P1(f319(f319(f321(x70021),x70022),x70024)) % 219.26/219.53 [7073]~P106(x70731)+E(f319(f319(f93(x70731),f319(f319(f102(x70731),x70732),x70733)),f319(f319(f102(x70731),x70734),x70733)),f319(f319(f102(x70731),f319(f319(f93(x70731),x70732),x70734)),x70733)) % 219.26/219.53 [7074]~P106(x70741)+E(f319(f319(f102(x70741),f319(f319(f93(x70741),x70742),x70743)),f319(f319(f93(x70741),x70744),x70743)),f319(f319(f93(x70741),f319(f319(f102(x70741),x70742),x70744)),x70743)) % 219.26/219.53 [7075]~P68(x70751)+E(f319(f319(f224(x70751),f319(f319(f23(x70751),x70752),x70753)),f319(f319(f23(x70751),x70754),x70753)),f319(f319(f23(x70751),f319(f319(f224(x70751),x70752),x70754)),x70753)) % 219.26/219.53 [7076]~P68(x70761)+E(f319(f319(f225(x70761),f319(f319(f23(x70761),x70762),x70763)),f319(f319(f23(x70761),x70764),x70763)),f319(f319(f23(x70761),f319(f319(f225(x70761),x70762),x70764)),x70763)) % 219.26/219.53 [7078]~P122(x70781)+E(f319(f319(f74(x70781),f319(f319(f75(x70781),x70782),x70783)),f319(f319(f75(x70781),x70784),x70783)),f319(f319(f75(x70781),f319(f319(f74(x70781),x70782),x70784)),x70783)) % 219.26/219.53 [7079]~P90(x70791)+E(f319(f319(f224(x70791),f319(f319(f74(x70791),x70792),x70793)),f319(f319(f74(x70791),x70794),x70793)),f319(f319(f74(x70791),f319(f319(f224(x70791),x70792),x70794)),x70793)) % 219.26/219.53 [7080]~P90(x70801)+E(f319(f319(f225(x70801),f319(f319(f74(x70801),x70802),x70803)),f319(f319(f74(x70801),x70804),x70803)),f319(f319(f74(x70801),f319(f319(f225(x70801),x70802),x70804)),x70803)) % 219.26/219.53 [7081]~P4(x70811)+E(f319(f319(f225(x70811),f319(f319(f224(x70811),x70812),x70813)),f319(f319(f224(x70811),x70814),x70813)),f319(f319(f224(x70811),f319(f319(f225(x70811),x70812),x70814)),x70813)) % 219.26/219.53 [7082]~P4(x70821)+E(f319(f319(f224(x70821),f319(f319(f225(x70821),x70822),x70823)),f319(f319(f225(x70821),x70824),x70823)),f319(f319(f225(x70821),f319(f319(f224(x70821),x70822),x70824)),x70823)) % 219.26/219.53 [7083]~P78(x70831)+E(f319(f319(f75(x70831),f319(f319(f236(x70831),x70832),x70833)),f319(f319(f236(x70831),x70834),x70833)),f319(f319(f236(x70831),f319(f319(f75(x70831),x70832),x70834)),x70833)) % 219.26/219.53 [7084]~P121(x70841)+E(f319(f319(f75(x70841),f319(f319(f236(x70841),x70842),x70843)),f319(f319(f236(x70841),x70844),x70843)),f319(f319(f236(x70841),f319(f319(f75(x70841),x70842),x70844)),x70843)) % 219.26/219.53 [7085]~P72(x70851)+E(f319(f319(f283(x70851),f319(f319(f236(x70851),x70852),x70853)),f319(f319(f236(x70851),x70854),x70853)),f319(f319(f236(x70851),f319(f319(f283(x70851),x70852),x70854)),x70853)) % 219.26/219.53 [7086]~P124(x70861)+E(f319(f319(f23(x70861),f319(f319(f283(x70861),x70862),x70863)),f319(f319(f283(x70861),x70864),x70863)),f319(f319(f283(x70861),f319(f319(f23(x70861),x70862),x70864)),x70863)) % 219.26/219.53 [7087]~P124(x70871)+E(f319(f319(f74(x70871),f319(f319(f283(x70871),x70872),x70873)),f319(f319(f283(x70871),x70874),x70873)),f319(f319(f283(x70871),f319(f319(f74(x70871),x70872),x70874)),x70873)) % 219.26/219.53 [7088]~P121(x70881)+E(f319(f319(f74(x70881),f319(f319(f75(x70881),x70882),x70883)),f319(f319(f75(x70881),x70884),x70883)),f319(f319(f75(x70881),f319(f319(f74(x70881),x70882),x70884)),x70883)) % 219.26/219.53 [7120]E(f319(f319(f151(x71201,x71202),x71203),x71204),x71202)+~P1(f319(f319(f226(a925),f319(f181(f926(x71201)),x71202)),x71203)) % 219.26/219.53 [7146]~P1(f319(x71463,x71464))+P1(f319(f319(f319(f102(f932(x71461,a923)),x71462),x71463),x71464)) % 219.26/219.53 [7148]~P1(f319(x71482,x71484))+P1(f319(f319(f319(f102(f932(x71481,a923)),x71482),x71483),x71484)) % 219.26/219.53 [7166]E(f319(f319(f156(x71661),f319(f319(f126(x71661),x71662),x71663)),x71664),f319(f319(f156(x71661),x71662),x71664))+~P1(f319(f319(f227(a925),x71664),f319(f181(f926(x71661)),x71662))) % 219.26/219.53 [7177]E(f319(f319(f23(f932(x71771,a923)),f319(f319(f301(x71771),x71772),x71773)),x71774),f319(f319(f23(f932(x71771,a923)),x71773),x71774))+~P1(f319(f319(f321(x71771),x71772),x71774)) % 219.26/219.53 [7218]~E(f131(a925,f319(f294(a925,x72181),x72182)),f319(f319(f143(a925),x72184),x72183))+E(f131(a925,f319(f294(a925,f319(f319(f74(a925),x72181),f72(a925))),x72182)),x72183) % 219.26/219.53 [7239]~P1(f319(f319(f164(x72391),x72393),x72394))+P1(f319(f319(f164(x72391),f319(f319(f143(x72391),x72392),x72393)),x72394)) % 219.26/219.53 [7289]E(x72891,f2(a925))+E(f319(f319(f143(x72892),x72893),f319(f319(f167(x72892),f319(f319(f23(a925),x72891),f72(a925))),x72894)),f319(f319(f167(x72892),x72891),f319(f319(f143(x72892),x72893),x72894))) % 219.26/219.53 [7392]E(f319(f319(f156(x73921),x73922),f319(f319(f23(a925),x73923),f319(f181(f926(x73921)),x73924))),f319(f319(f156(x73921),f319(f319(f126(x73921),x73924),x73922)),x73923))+P1(f319(f319(f227(a925),x73923),f319(f181(f926(x73921)),x73924))) % 219.26/219.53 [7421]E(f319(f319(f93(f932(x74211,a923)),x74212),f319(f319(f301(x74211),x74213),x74214)),f319(f319(f301(x74211),x74213),f319(f319(f93(f932(x74211,a923)),x74212),x74214)))+~P1(f319(f319(f321(x74211),x74213),x74212)) % 219.26/219.53 [7460]E(f319(f319(f156(x74601),f319(f319(f151(x74601,x74602),x74603),x74604)),x74603),x74604)+~P1(f319(f319(f227(a925),x74603),f319(f181(f926(x74601)),x74602))) % 219.26/219.53 [7482]E(x74821,f180(f932(x74822,a923)))+E(f319(f302(f931(x74823,x74822),x74823,f243(x74823,x74822)),f319(f319(f246(x74823,x74822),x74824),f319(f16(f932(x74822,a923),x74823),x74821))),x74824) % 219.26/219.53 [7483]E(x74831,f180(f932(x74832,a923)))+E(f319(f302(f931(x74832,x74833),x74833,f248(x74832,x74833)),f319(f319(f246(x74832,x74833),x74831),f319(f16(f932(x74833,a923),x74832),x74834))),x74834) % 219.26/219.53 [7555]E(f319(f319(f23(f932(x75551,a923)),f319(f319(f301(x75551),x75552),x75553)),x75554),f319(f319(f301(x75551),x75552),f319(f319(f23(f932(x75551,a923)),x75553),x75554)))+P1(f319(f319(f321(x75551),x75552),x75554)) % 219.26/219.53 [7590]~E(x75904,f180(f932(x75902,a923)))+E(f319(f302(f931(x75901,x75902),x75901,f243(x75901,x75902)),f319(f319(f246(x75901,x75902),x75903),f319(f16(f932(x75902,a923),x75901),x75904))),f180(f932(x75901,a923))) % 219.26/219.53 [7591]~E(x75913,f180(f932(x75911,a923)))+E(f319(f302(f931(x75911,x75912),x75912,f248(x75911,x75912)),f319(f319(f246(x75911,x75912),x75913),f319(f16(f932(x75912,a923),x75911),x75914))),f180(f932(x75912,a923))) % 219.26/219.53 [7642]~P1(f319(f319(f321(x76421),x76422),x76424))+P1(f319(f319(f321(x76421),x76422),f319(f319(f102(f932(x76421,a923)),x76423),x76424))) % 219.26/219.53 [7645]~P1(f319(f319(f321(x76451),x76452),x76453))+P1(f319(f319(f321(x76451),x76452),f319(f319(f102(f932(x76451,a923)),x76453),x76454))) % 219.26/219.53 [7663]E(f319(f319(f93(f932(x76631,a923)),f319(f319(f301(x76631),x76632),x76633)),x76634),f319(f319(f301(x76631),x76632),f319(f319(f93(f932(x76631,a923)),x76633),x76634)))+~P1(f319(f319(f321(x76631),x76632),x76634)) % 219.26/219.53 [7936]P1(f319(x79361,x79362))+~P1(f319(f319(f319(f93(f932(x79363,a923)),x79364),x79361),x79362)) % 219.26/219.53 [7937]P1(f319(x79371,x79372))+~P1(f319(f319(f319(f93(f932(x79373,a923)),x79371),x79374),x79372)) % 219.26/219.53 [7938]E(f319(f319(f6(x79381,a925),x79382),f319(f319(f23(f932(x79381,a923)),x79383),f319(f319(f301(x79381),x79384),f180(f932(x79381,a923))))),f319(f319(f6(x79381,a925),x79382),x79383))+P1(f319(f319(f321(x79381),x79384),x79383)) % 219.26/219.53 [7943]~P79(x79431)+E(f319(f157(x79431),f319(f319(f146(a925,x79431),x79432),f131(a925,f319(f294(a925,x79433),x79434)))),f319(f319(f6(a925,x79431),x79432),f319(f164(a925),f131(a925,f319(f294(a925,x79433),x79434))))) % 219.26/219.53 [7944]~P79(x79441)+E(f319(f319(f6(a925,x79441),x79442),f319(f164(a925),f131(a925,f319(f294(a925,x79443),x79444)))),f319(f157(x79441),f319(f319(f146(a925,x79441),x79442),f131(a925,f319(f294(a925,x79443),x79444))))) % 219.26/219.53 [8058]~E(x80583,x80584)+P1(f319(f56(x80581,x80582,f319(f319(f301(x80581),x80583),f180(f932(x80581,a923)))),x80584)) % 219.26/219.53 [8155]P1(f319(f319(f321(x81551),x81552),f319(f164(x81551),x81553)))+~P1(f319(f319(f321(x81551),x81552),f319(f164(x81551),f319(f319(f167(x81551),x81554),x81553)))) % 219.26/219.53 [8156]P1(f319(f319(f321(x81561),x81562),f319(f164(x81561),x81563)))+~P1(f319(f319(f321(x81561),x81562),f319(f164(x81561),f319(f319(f130(x81561),x81564),x81563)))) % 219.26/219.53 [8228]P1(f319(f319(f321(x82281),x82282),x82283))+~P1(f319(f319(f321(x82281),x82282),f319(f319(f93(f932(x82281,a923)),x82284),x82283))) % 219.26/219.53 [8231]P1(f319(f319(f321(x82311),x82312),x82313))+~P1(f319(f319(f321(x82311),x82312),f319(f319(f93(f932(x82311,a923)),x82313),x82314))) % 219.26/219.53 [8234]P1(f319(f319(f321(x82341),x82342),x82343))+~P1(f319(f319(f321(x82341),x82342),f319(f319(f23(f932(x82341,a923)),x82343),x82344))) % 219.26/219.53 [8249]E(f319(f319(f126(x82491),f319(f319(f167(x82491),x82492),x82493)),f319(f319(f143(x82491),x82494),f319(f319(f130(x82491),f319(a104,x82492)),x82493))),f319(f319(f151(x82491,x82493),x82492),x82494))+~P1(f319(f319(f227(a925),x82492),f319(f181(f926(x82491)),x82493))) % 219.26/219.53 [8272]P1(f319(f319(f321(x82721),x82722),x82723))+~P1(f319(f319(f226(f932(x82721,a923)),f319(f319(f301(x82721),x82722),x82724)),x82723)) % 219.26/219.53 [8309]~P1(f319(f319(f321(x83091),x83092),x83093))+~P1(f319(f319(f321(x83091),x83092),f319(f319(f23(f932(x83091,a923)),x83094),x83093))) % 219.26/219.53 [8342]~P1(f319(f319(f227(a925),x83424),f319(f181(f926(x83421)),x83423)))+P1(f319(f319(f321(x83421),x83422),f319(f164(x83421),f319(f319(f151(x83421,x83423),x83424),x83422)))) % 219.26/219.53 [8395]E(f319(f319(f156(x83951),f319(f319(f130(x83951),x83952),x83953)),x83954),f319(f319(f156(x83951),x83953),f319(f319(f74(a925),x83952),x83954)))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),x83952),x83954)),f319(f181(f926(x83951)),x83953))) % 219.26/219.53 [8404]~P149(x84042)+E(f319(f319(f6(x84041,x84042),f319(f319(f8(a925,x84042,x84041),f92(x84042)),x84043)),x84044),f319(f92(x84042),f319(f319(f6(x84041,a925),x84043),x84044))) % 219.26/219.53 [8405]~P145(x84052)+E(f319(f319(f6(x84051,x84052),f319(f319(f8(a1,x84052,x84051),f94(x84052)),x84053)),x84054),f319(f94(x84052),f319(f319(f6(x84051,a1),x84053),x84054))) % 219.26/219.53 [8455]~P75(x84552)+E(f319(f319(f9(x84551,x84552),f319(f319(f8(x84552,x84552,x84551),f69(x84552)),x84553)),x84554),f319(f69(x84552),f319(f319(f9(x84551,x84552),x84553),x84554))) % 219.26/219.53 [8456]~P70(x84562)+E(f319(f319(f6(x84561,x84562),f319(f319(f8(x84562,x84562,x84561),f73(x84562)),x84563)),x84564),f319(f73(x84562),f319(f319(f6(x84561,x84562),x84563),x84564))) % 219.26/219.53 [8458]E(f319(f319(f6(x84581,a925),x84582),f319(f319(f23(f932(x84581,a923)),x84583),f319(f319(f301(x84581),x84584),f180(f932(x84581,a923))))),f319(f319(f23(a925),f319(f319(f6(x84581,a925),x84582),x84583)),f319(x84582,x84584)))+~P1(f319(f319(f321(x84581),x84584),x84583)) % 219.26/219.53 [8478]P1(f319(f319(f226(f932(x84781,a923)),x84782),x84783))+~P1(f319(f319(f226(f932(x84781,a923)),f319(f319(f301(x84781),x84784),x84782)),x84783)) % 219.26/219.53 [8603]~E(f319(f302(x86032,x86033,x86031),f234(f932(x86032,a923))),f234(f932(x86033,a923)))+E(f319(x86031,f319(f85(x86032,x86033,f234(f932(x86032,a923)),x86031),x86034)),x86034) % 219.26/219.53 [8688]P38(x86881,x86882)+~P38(x86881,f319(f319(f301(f931(x86881,x86881)),f319(f319(f244(x86881,x86881),x86883),x86884)),x86882)) % 219.26/219.53 [8689]P62(x86891,x86892)+~P62(x86891,f319(f319(f301(f931(x86891,x86891)),f319(f319(f244(x86891,x86891),x86893),x86894)),x86892)) % 219.26/219.53 [8694]~P4(x86941)+E(f319(f319(f140(x86941,x86941,f5(x86941)),x86942),f319(f319(f140(x86941,x86941,f5(x86941)),x86943),x86944)),f319(f319(f140(x86941,x86941,f5(x86941)),x86943),f319(f319(f140(x86941,x86941,f5(x86941)),x86942),x86944))) % 219.26/219.53 [8709]E(x87091,x87092)+~P1(f319(f56(x87093,x87094,f319(f319(f301(x87093),x87091),f180(f932(x87093,a923)))),x87092)) % 219.26/219.53 [8721]E(f319(f319(f126(x87211),f319(f319(f167(x87211),x87212),x87213)),f319(f319(f167(x87211),x87214),f319(f319(f130(x87211),x87212),x87213))),f319(f319(f167(x87211),f319(f319(f74(a925),x87212),x87214)),x87213))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),x87212),x87214)),f319(f181(f926(x87211)),x87213))) % 219.26/219.53 [8760]P1(f319(f55(x87601),x87602))+~E(x87602,f319(f302(a925,x87601,x87603),f319(f254(a925),f319(f319(f7(a925,a925,a923),f227(a925)),x87604)))) % 219.26/219.53 [8780]~P95(x87801)+E(f319(f134(x87801,x87801,f74(x87801),f319(f319(f74(x87801),x87802),x87803)),x87804),f319(f319(f74(x87801),x87802),f319(f134(x87801,x87801,f74(x87801),x87803),x87804))) % 219.26/219.53 [8817]P1(f319(f319(f226(f932(x88171,a923)),f319(f256(x88171,x88172),x88173)),f319(f256(x88171,x88172),x88174)))+~P1(f319(f319(f226(f932(f931(x88171,x88172),a923)),x88173),x88174)) % 219.26/219.53 [8829]~P1(f319(f319(f226(a925),x88292),x88294))+P1(f319(f319(f226(f932(x88291,a923)),f319(f164(x88291),f319(f319(f167(x88291),x88292),x88293))),f319(f164(x88291),f319(f319(f167(x88291),x88294),x88293)))) % 219.26/219.53 [8830]~P1(f319(f319(f226(a925),x88304),x88302))+P1(f319(f319(f226(f932(x88301,a923)),f319(f164(x88301),f319(f319(f130(x88301),x88302),x88303))),f319(f164(x88301),f319(f319(f130(x88301),x88304),x88303)))) % 219.26/219.53 [8887]~P1(f319(f55(x88871),f319(f319(f23(f932(x88871,a923)),x88872),x88874)))+P1(f319(f55(x88871),f319(f319(f23(f932(x88871,a923)),x88872),f319(f319(f301(x88871),x88873),x88874)))) % 219.26/219.53 [8929]P1(f319(f319(f321(f931(x89291,x89291)),x89292),f299(x89291,x89293)))+~P1(f319(f319(f321(f931(x89291,x89291)),x89292),f319(f319(f175(f931(x89291,x89291),a923),x89294),x89293))) % 219.26/219.53 [9016]~P1(f319(f55(x90161),f319(f319(f23(f932(x90161,a923)),x90162),f319(f319(f301(x90161),x90164),x90163))))+P1(f319(f55(x90161),f319(f319(f23(f932(x90161,a923)),x90162),x90163))) % 219.26/219.53 [9233]~P102(x92331)+P1(f319(f319(f226(x92331),f319(f319(f102(x92331),x92332),f319(f319(f93(x92331),x92333),x92334))),f319(f319(f93(x92331),f319(f319(f102(x92331),x92332),x92333)),f319(f319(f102(x92331),x92332),x92334)))) % 219.26/219.53 [9234]~P4(x92341)+P1(f319(f319(f226(x92341),f319(f319(f225(x92341),x92342),f319(f319(f224(x92341),x92343),x92344))),f319(f319(f224(x92341),f319(f319(f225(x92341),x92342),x92343)),f319(f319(f225(x92341),x92342),x92344)))) % 219.26/219.53 [9384]E(x93841,x93842)+~P1(f319(f319(f321(f931(x93843,x93843)),f319(f319(f244(x93843,x93843),x93841),x93842)),f319(f164(f931(x93843,x93843)),f319(f319(f173(x93843,x93843),x93844),x93844)))) % 219.26/219.53 [9415]~P1(f319(f319(f321(f931(x94151,x94151)),f319(f319(f244(x94151,x94151),x94153),x94152)),f299(x94151,x94154)))+~P38(x94151,f319(f319(f301(f931(x94151,x94151)),f319(f319(f244(x94151,x94151),x94152),x94153)),x94154)) % 219.26/219.53 [9416]~P1(f319(f319(f321(f931(x94161,x94161)),f319(f319(f244(x94161,x94161),x94163),x94162)),f299(x94161,x94164)))+~P62(x94161,f319(f319(f301(f931(x94161,x94161)),f319(f319(f244(x94161,x94161),x94162),x94163)),x94164)) % 219.26/219.53 [9420]E(x94201,x94202)+E(f319(f128(x94203,f319(f319(f8(a923,a923,x94203),a314),f319(a316,x94201))),f319(f319(f143(x94203),x94202),x94204)),f319(f319(f143(x94203),x94202),f319(f128(x94203,f319(f319(f8(a923,a923,x94203),a314),f319(a316,x94201))),x94204))) % 219.26/219.53 [9451]~P27(x94512,x94511,x94513,f234(f932(x94512,a923)),f234(f932(x94511,a923)))+E(f319(f302(x94511,x94512,f85(x94512,x94511,f234(f932(x94512,a923)),x94513)),x94514),f319(f303(x94512,x94511,x94513),x94514)) % 219.26/219.53 [9466]~P102(x94661)+P1(f319(f319(f226(x94661),f319(f319(f102(x94661),f319(f319(f93(x94661),x94662),x94663)),f319(f319(f93(x94661),x94662),x94664))),f319(f319(f93(x94661),x94662),f319(f319(f102(x94661),x94663),x94664)))) % 219.26/219.53 [9467]~P4(x94671)+P1(f319(f319(f226(x94671),f319(f319(f225(x94671),f319(f319(f224(x94671),x94672),x94673)),f319(f319(f224(x94671),x94672),x94674))),f319(f319(f224(x94671),x94672),f319(f319(f225(x94671),x94673),x94674)))) % 219.26/219.53 [9530]~P27(x95302,x95301,x95304,f234(f932(x95302,a923)),f234(f932(x95301,a923)))+E(f319(f254(x95301),f319(f319(f8(x95302,a923,x95301),x95303),f85(x95302,x95301,f234(f932(x95302,a923)),x95304))),f319(f302(x95302,x95301,x95304),f319(f254(x95302),x95303))) % 219.26/219.53 [9544]~E(f319(f302(x95442,x95441,x95443),f234(f932(x95442,a923))),f234(f932(x95441,a923)))+P1(f319(f319(f226(f932(x95441,a923)),f319(f73(f932(x95441,a923)),f319(f302(x95442,x95441,x95443),x95444))),f319(f302(x95442,x95441,x95443),f319(f73(f932(x95442,a923)),x95444)))) % 219.26/219.53 [9875]P1(f319(f319(f321(f931(x98751,x98751)),f319(f319(f244(x98751,x98751),x98752),x98753)),f319(f278(x98751,x98751),f319(f319(f281(x98751,x98751,x98751),x98754),f299(x98751,x98754)))))+~P1(f319(f319(f321(f931(x98751,x98751)),f319(f319(f244(x98751,x98751),x98752),x98753)),f319(f319(f281(x98751,x98751,x98751),f319(f278(x98751,x98751),x98754)),f299(x98751,f319(f278(x98751,x98751),x98754))))) % 219.26/219.53 [9876]~P1(f319(f319(f321(f931(x98761,x98761)),f319(f319(f244(x98761,x98761),x98762),x98763)),f319(f278(x98761,x98761),f319(f319(f281(x98761,x98761,x98761),x98764),f299(x98761,x98764)))))+P1(f319(f319(f321(f931(x98761,x98761)),f319(f319(f244(x98761,x98761),x98762),x98763)),f319(f319(f281(x98761,x98761,x98761),f319(f278(x98761,x98761),x98764)),f299(x98761,f319(f278(x98761,x98761),x98764))))) % 219.26/219.53 [9897]~P1(f319(f319(f321(x98972),x98974),f319(f276(x98971,x98972),x98973)))+P1(f319(f319(f321(f931(x98971,x98972)),f319(f319(f244(x98971,x98972),f572(x98973,x98971,x98974,x98972)),x98974)),x98973)) % 219.26/219.53 [9898]~P1(f319(f319(f321(x98982),x98984),f319(f276(x98981,x98982),x98983)))+P1(f319(f319(f321(f931(x98981,x98982)),f319(f319(f244(x98981,x98982),f574(x98983,x98981,x98984,x98982)),x98984)),x98983)) % 219.26/219.53 [9926]~P1(f319(f319(f321(x99261),x99264),f319(f319(f102(f932(x99261,a923)),x99262),x99263)))+P1(f319(f319(f319(f102(f932(x99261,a923)),f319(f319(f7(x99261,f932(x99261,a923),a923),f321(x99261)),x99262)),f319(f319(f7(x99261,f932(x99261,a923),a923),f321(x99261)),x99263)),x99264)) % 219.26/219.53 [9927]~P1(f319(f319(f321(x99271),x99274),f319(f319(f93(f932(x99271,a923)),x99272),x99273)))+P1(f319(f319(f319(f93(f932(x99271,a923)),f319(f319(f7(x99271,f932(x99271,a923),a923),f321(x99271)),x99272)),f319(f319(f7(x99271,f932(x99271,a923),a923),f321(x99271)),x99273)),x99274)) % 219.26/219.53 [10019]~P1(f319(f319(f321(f931(x100191,x100191)),f319(f319(f244(x100191,x100191),x100194),x100193)),f319(f319(f281(x100191,x100191,x100191),x100192),f299(x100191,x100192))))+P1(f319(f319(f321(f931(x100191,x100191)),f319(f319(f244(x100191,x100191),f640(x100192,x100193,x100194,x100191)),x100193)),x100192)) % 219.26/219.53 [10057]P1(f319(f319(f321(x100571),x100572),f319(f319(f102(f932(x100571,a923)),x100573),x100574)))+~P1(f319(f319(f319(f102(f932(x100571,a923)),f319(f319(f7(x100571,f932(x100571,a923),a923),f321(x100571)),x100573)),f319(f319(f7(x100571,f932(x100571,a923),a923),f321(x100571)),x100574)),x100572)) % 219.26/219.53 [10058]P1(f319(f319(f321(x100581),x100582),f319(f319(f93(f932(x100581,a923)),x100583),x100584)))+~P1(f319(f319(f319(f93(f932(x100581,a923)),f319(f319(f7(x100581,f932(x100581,a923),a923),f321(x100581)),x100583)),f319(f319(f7(x100581,f932(x100581,a923),a923),f321(x100581)),x100584)),x100582)) % 219.26/219.53 [10348]P33(x103481,f319(f319(f7(x103481,f932(f931(x103481,x103481),a923),f932(x103481,a923)),f319(f319(f8(f932(x103481,f932(f932(f931(x103481,x103481),a923),a923)),f932(f932(f931(x103481,x103481),a923),f932(x103481,a923)),x103481),f7(x103481,f932(f931(x103481,x103481),a923),a923)),f319(f319(f8(f932(x103481,f931(x103481,x103481)),f932(x103481,f932(f932(f931(x103481,x103481),a923),a923)),x103481),f319(f8(f931(x103481,x103481),f932(f932(f931(x103481,x103481),a923),a923),x103481),f321(f931(x103481,x103481)))),f244(x103481,x103481)))),x103482),x103483,x103484)+~P1(f319(f319(f321(f931(f926(x103481),f926(x103481))),f319(f319(f244(f926(x103481),f926(x103481)),x103483),x103484)),f150(x103481,x103482))) % 219.26/219.53 [10352]P63(x103521,f319(f319(f7(x103521,f932(f931(x103521,x103521),a923),f932(x103521,a923)),f319(f319(f8(f932(x103521,f932(f932(f931(x103521,x103521),a923),a923)),f932(f932(f931(x103521,x103521),a923),f932(x103521,a923)),x103521),f7(x103521,f932(f931(x103521,x103521),a923),a923)),f319(f319(f8(f932(x103521,f931(x103521,x103521)),f932(x103521,f932(f932(f931(x103521,x103521),a923),a923)),x103521),f319(f8(f931(x103521,x103521),f932(f932(f931(x103521,x103521),a923),a923),x103521),f321(f931(x103521,x103521)))),f244(x103521,x103521)))),x103522),x103523,x103524)+~P1(f319(f319(f321(f931(f932(x103521,a923),f932(x103521,a923))),f319(f319(f244(f932(x103521,a923),f932(x103521,a923)),x103523),x103524)),f311(x103521,x103522))) % 219.26/219.53 [10386]E(x103861,x103862)+~E(f319(f319(f7(x103863,f932(f931(x103863,x103864),a923),f932(x103864,a923)),f319(f319(f8(f932(x103864,f932(f932(f931(x103863,x103864),a923),a923)),f932(f932(f931(x103863,x103864),a923),f932(x103864,a923)),x103863),f7(x103864,f932(f931(x103863,x103864),a923),a923)),f319(f319(f8(f932(x103864,f931(x103863,x103864)),f932(x103864,f932(f932(f931(x103863,x103864),a923),a923)),x103863),f319(f8(f931(x103863,x103864),f932(f932(f931(x103863,x103864),a923),a923),x103864),f321(f931(x103863,x103864)))),f244(x103863,x103864)))),x103861),f319(f319(f7(x103863,f932(f931(x103863,x103864),a923),f932(x103864,a923)),f319(f319(f8(f932(x103864,f932(f932(f931(x103863,x103864),a923),a923)),f932(f932(f931(x103863,x103864),a923),f932(x103864,a923)),x103863),f7(x103864,f932(f931(x103863,x103864),a923),a923)),f319(f319(f8(f932(x103864,f931(x103863,x103864)),f932(x103864,f932(f932(f931(x103863,x103864),a923),a923)),x103863),f319(f8(f931(x103863,x103864),f932(f932(f931(x103863,x103864),a923),a923),x103864),f321(f931(x103863,x103864)))),f244(x103863,x103864)))),x103862)) % 219.26/219.53 [10389]~P33(x103891,f319(f319(f7(x103891,f932(f931(x103891,x103891),a923),f932(x103891,a923)),f319(f319(f8(f932(x103891,f932(f932(f931(x103891,x103891),a923),a923)),f932(f932(f931(x103891,x103891),a923),f932(x103891,a923)),x103891),f7(x103891,f932(f931(x103891,x103891),a923),a923)),f319(f319(f8(f932(x103891,f931(x103891,x103891)),f932(x103891,f932(f932(f931(x103891,x103891),a923),a923)),x103891),f319(f8(f931(x103891,x103891),f932(f932(f931(x103891,x103891),a923),a923),x103891),f321(f931(x103891,x103891)))),f244(x103891,x103891)))),x103894),x103892,x103893)+P1(f319(f319(f321(f931(f926(x103891),f926(x103891))),f319(f319(f244(f926(x103891),f926(x103891)),x103892),x103893)),f150(x103891,x103894))) % 219.26/219.53 [10390]~P63(x103901,f319(f319(f7(x103901,f932(f931(x103901,x103901),a923),f932(x103901,a923)),f319(f319(f8(f932(x103901,f932(f932(f931(x103901,x103901),a923),a923)),f932(f932(f931(x103901,x103901),a923),f932(x103901,a923)),x103901),f7(x103901,f932(f931(x103901,x103901),a923),a923)),f319(f319(f8(f932(x103901,f931(x103901,x103901)),f932(x103901,f932(f932(f931(x103901,x103901),a923),a923)),x103901),f319(f8(f931(x103901,x103901),f932(f932(f931(x103901,x103901),a923),a923),x103901),f321(f931(x103901,x103901)))),f244(x103901,x103901)))),x103904),x103902,x103903)+P1(f319(f319(f321(f931(f932(x103901,a923),f932(x103901,a923))),f319(f319(f244(f932(x103901,a923),f932(x103901,a923)),x103902),x103903)),f311(x103901,x103904))) % 219.26/219.53 [7712]~P99(x77121)+E(f319(f319(f75(x77121),f319(f95(x77121),x77122)),f319(f319(f75(x77121),f319(f95(x77121),x77123)),x77124)),f319(f319(f75(x77121),f319(f95(x77121),f319(f319(f75(a1),x77122),x77123))),x77124)) % 219.26/219.53 [7713]~P99(x77131)+E(f319(f319(f74(x77131),f319(f95(x77131),x77132)),f319(f319(f23(x77131),f319(f95(x77131),x77133)),x77134)),f319(f319(f23(x77131),f319(f95(x77131),f319(f319(f74(a1),x77132),x77133))),x77134)) % 219.26/219.53 [7714]~P99(x77141)+E(f319(f319(f74(x77141),f319(f95(x77141),x77142)),f319(f319(f74(x77141),f319(f95(x77141),x77143)),x77144)),f319(f319(f74(x77141),f319(f95(x77141),f319(f319(f74(a1),x77142),x77143))),x77144)) % 219.26/219.53 [7754]~P149(x77541)+E(f319(f157(x77541),f319(f319(f146(x77542,x77541),f319(f16(x77541,x77542),x77543)),x77544)),f319(f319(f75(x77541),f319(f92(x77541),f319(f181(f926(x77542)),x77544))),x77543)) % 219.26/219.53 [7992]E(f319(f260(x79921,f319(f319(f143(f931(a91,x79921)),x79922),x79923)),x79924),f319(f248(a91,x79921),x79922))+~P1(f319(f319(f227(a91),x79924),f319(f243(a91,x79921),x79922))) % 219.26/219.53 [8033]~P99(x80331)+E(f319(f319(f74(x80331),f319(f95(x80331),x80332)),f319(f319(f23(x80331),x80333),f319(f95(x80331),x80334))),f319(f319(f74(x80331),f319(f95(x80331),f319(f319(f74(a1),x80332),f319(f73(a1),x80334)))),x80333)) % 219.26/219.53 [8169]E(f319(f260(x81691,x81692),f319(f319(f23(a91),x81693),f319(f243(a91,x81691),x81694))),f319(f260(x81691,f319(f319(f143(f931(a91,x81691)),x81694),x81692)),x81693))+P1(f319(f319(f227(a91),x81693),f319(f243(a91,x81691),x81694))) % 219.26/219.53 [8609]~P1(f319(f319(f321(x86091),x86092),f319(f164(x86091),f106(x86091,x86094))))+P1(f319(f319(f321(x86091),x86092),f319(f164(x86091),f106(x86091,f319(f319(f126(x86091),x86093),x86094))))) % 219.26/219.53 [8610]~P1(f319(f319(f321(x86101),x86102),f319(f164(x86101),f106(x86101,x86103))))+P1(f319(f319(f321(x86101),x86102),f319(f164(x86101),f106(x86101,f319(f319(f126(x86101),x86103),x86104))))) % 219.26/219.53 [8629]E(f319(f319(f102(f932(x86291,a923)),f319(f319(f93(f932(x86291,a923)),x86292),x86293)),x86294),f319(f319(f93(f932(x86291,a923)),x86292),f319(f319(f102(f932(x86291,a923)),x86293),x86294)))+~P1(f319(f319(f226(f932(x86291,a923)),x86294),x86292)) % 219.26/219.53 [8943]~E(f319(f319(f102(f932(x89431,a923)),f319(f319(f93(f932(x89431,a923)),x89433),x89434)),x89432),f319(f319(f93(f932(x89431,a923)),x89433),f319(f319(f102(f932(x89431,a923)),x89434),x89432)))+P1(f319(f319(f226(f932(x89431,a923)),x89432),x89433)) % 219.26/219.53 [9238]~P1(f319(f319(f226(f932(x92381,a923)),x92382),f319(f319(f102(f932(x92381,a923)),x92383),x92384)))+P1(f319(f319(f226(f932(x92381,a923)),f319(f319(f23(f932(x92381,a923)),x92382),x92383)),x92384)) % 219.26/219.53 [9355]~E(f319(f302(x93551,x93552,x93553),f234(f932(x93551,a923))),f234(f932(x93552,a923)))+E(f319(f302(x93551,x93552,x93553),f319(f302(x93552,x93551,f85(x93551,x93552,f234(f932(x93551,a923)),x93553)),x93554)),x93554) % 219.26/219.53 [9360]P1(f319(f319(f226(f932(x93601,a923)),x93602),f319(f319(f102(f932(x93601,a923)),x93603),x93604)))+~P1(f319(f319(f226(f932(x93601,a923)),f319(f319(f23(f932(x93601,a923)),x93602),x93603)),x93604)) % 219.26/219.53 [9447]~P92(x94471)+E(f319(f69(x94471),f319(f319(f6(x94472,x94471),f319(f319(f8(x94471,x94471,x94472),f69(x94471)),x94473)),x94474)),f319(f319(f6(x94472,x94471),f319(f319(f8(x94471,x94471,x94472),f69(x94471)),x94473)),x94474)) % 219.26/219.53 [9621]~P92(x96211)+P1(f319(f319(f226(x96211),f2(x96211)),f319(f319(f6(x96212,x96211),f319(f319(f8(x96211,x96211,x96212),f69(x96211)),x96213)),x96214))) % 219.26/219.53 [9625]~P70(x96251)+E(f319(f157(x96251),f319(f319(f146(x96252,x96251),f319(f66(x96251,x96251,x96252,f73(x96251)),x96253)),x96254)),f319(f73(x96251),f319(f157(x96251),f319(f319(f146(x96252,x96251),x96253),x96254)))) % 219.26/219.53 [9768]~P92(x97681)+P1(f319(f319(f226(x97681),f319(f69(x97681),f319(f319(f6(x97682,x97681),x97683),x97684))),f319(f319(f6(x97682,x97681),f319(f319(f8(x97681,x97681,x97682),f69(x97681)),x97683)),x97684))) % 219.26/219.53 [9799]~E(f319(f319(f74(a925),x97991),x97994),f319(f319(f74(a925),x97993),x97992))+P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),f319(f319(f244(a925,a925),x97991),x97992)),f319(f319(f244(a925,a925),x97993),x97994))),a100)) % 219.26/219.53 [9800]~P1(f319(f319(f227(a925),x98001),x98003))+P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),f319(f319(f244(a925,a925),x98001),x98002)),f319(f319(f244(a925,a925),x98003),x98004))),a26)) % 219.26/219.53 [9801]~P1(f319(f319(f227(a925),x98011),x98013))+P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),f319(f319(f244(a925,a925),x98011),x98012)),f319(f319(f244(a925,a925),x98013),x98014))),a64)) % 219.26/219.53 [9956]E(f319(f319(f74(a925),x99561),x99562),f319(f319(f74(a925),x99563),x99564))+~P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),f319(f319(f244(a925,a925),x99561),x99564)),f319(f319(f244(a925,a925),x99563),x99562))),a100)) % 219.26/219.53 [9992]E(f319(f319(f156(x99921),f319(f319(f130(x99921),f319(f181(f926(x99921)),f169(x99921,x99922,x99923))),x99923)),x99924),f319(f319(f156(x99921),x99923),f319(f319(f74(a925),x99924),f319(f181(f926(x99921)),f169(x99921,x99922,x99923)))))+~P1(f319(f319(f227(a925),x99924),f319(f181(f926(x99921)),f319(f319(f130(x99921),f319(f181(f926(x99921)),f169(x99921,x99922,x99923))),x99923)))) % 219.26/219.53 [10010]~P1(f319(f319(f321(x100102),x100104),f319(f319(f33(x100101,f932(x100102,a923)),f234(f932(x100101,a923))),x100103)))+P1(f319(f319(f319(f33(x100101,f932(x100102,a923)),f234(f932(x100101,a923))),f319(f319(f8(f932(x100102,a923),f932(x100102,a923),x100101),f319(f7(x100102,f932(x100102,a923),a923),f321(x100102))),x100103)),x100104)) % 219.26/219.53 [10011]~P1(f319(f319(f321(x100112),x100114),f319(f319(f34(x100111,f932(x100112,a923)),f234(f932(x100111,a923))),x100113)))+P1(f319(f319(f319(f34(x100111,f932(x100112,a923)),f234(f932(x100111,a923))),f319(f319(f8(f932(x100112,a923),f932(x100112,a923),x100111),f319(f7(x100112,f932(x100112,a923),a923),f321(x100112))),x100113)),x100114)) % 219.26/219.53 [10086]~P1(f319(f43(x100861,x100862),f319(f319(f244(a1,a1),x100864),x100863)))+P1(f319(f43(f319(f73(a1),x100861),x100862),f319(f319(f244(a1,a1),f319(f319(f319(f86(a1),f319(f319(a316,x100863),f2(a1))),f319(f73(a1),x100864)),f319(f319(f23(a1),f319(f73(a1),x100864)),f72(a1)))),f319(f319(f319(f86(a1),f319(f319(a316,x100863),f2(a1))),f2(a1)),f319(f319(f23(a1),x100862),x100863))))) % 219.26/219.53 [10098]P1(f319(f319(f321(x100981),x100982),f319(f319(f33(x100983,f932(x100981,a923)),f234(f932(x100983,a923))),x100984)))+~P1(f319(f319(f319(f33(x100983,f932(x100981,a923)),f234(f932(x100983,a923))),f319(f319(f8(f932(x100981,a923),f932(x100981,a923),x100983),f319(f7(x100981,f932(x100981,a923),a923),f321(x100981))),x100984)),x100982)) % 219.26/219.53 [10099]P1(f319(f319(f321(x100991),x100992),f319(f319(f34(x100993,f932(x100991,a923)),f234(f932(x100993,a923))),x100994)))+~P1(f319(f319(f319(f34(x100993,f932(x100991,a923)),f234(f932(x100993,a923))),f319(f319(f8(f932(x100991,a923),f932(x100991,a923),x100993),f319(f7(x100991,f932(x100991,a923),a923),f321(x100991))),x100994)),x100992)) % 219.26/219.53 [10111]E(f319(f319(f33(a925,f932(x101111,a923)),f234(f932(a925,a923))),x101112),f319(f319(f33(a925,f932(x101111,a923)),f234(f932(a925,a923))),x101113))+~E(f319(f319(f33(a925,f932(x101111,a923)),f319(f294(a925,f2(a925)),f412(x101112,x101114,x101113,x101111))),x101113),f319(f319(f33(a925,f932(x101111,a923)),f319(f294(a925,f2(a925)),f319(f319(f74(a925),f412(x101112,x101114,x101113,x101111)),x101114))),x101112)) % 219.26/219.53 [10465]~P1(f319(f319(f226(f932(f931(x104651,x104652),a923)),x104653),x104654))+P1(f319(f319(f226(f932(x104651,f932(x104652,a923))),f319(f319(f7(x104651,f932(f931(x104651,x104652),a923),f932(x104652,a923)),f319(f319(f8(f932(x104652,f932(f932(f931(x104651,x104652),a923),a923)),f932(f932(f931(x104651,x104652),a923),f932(x104652,a923)),x104651),f7(x104652,f932(f931(x104651,x104652),a923),a923)),f319(f319(f8(f932(x104652,f931(x104651,x104652)),f932(x104652,f932(f932(f931(x104651,x104652),a923),a923)),x104651),f319(f8(f931(x104651,x104652),f932(f932(f931(x104651,x104652),a923),a923),x104652),f321(f931(x104651,x104652)))),f244(x104651,x104652)))),x104653)),f319(f319(f7(x104651,f932(f931(x104651,x104652),a923),f932(x104652,a923)),f319(f319(f8(f932(x104652,f932(f932(f931(x104651,x104652),a923),a923)),f932(f932(f931(x104651,x104652),a923),f932(x104652,a923)),x104651),f7(x104652,f932(f931(x104651,x104652),a923),a923)),f319(f319(f8(f932(x104652,f931(x104651,x104652)),f932(x104652,f932(f932(f931(x104651,x104652),a923),a923)),x104651),f319(f8(f931(x104651,x104652),f932(f932(f931(x104651,x104652),a923),a923),x104652),f321(f931(x104651,x104652)))),f244(x104651,x104652)))),x104654))) % 219.26/219.53 [10481]P1(f319(f319(f226(f932(f931(x104811,x104812),a923)),x104813),x104814))+~P1(f319(f319(f226(f932(x104811,f932(x104812,a923))),f319(f319(f7(x104811,f932(f931(x104811,x104812),a923),f932(x104812,a923)),f319(f319(f8(f932(x104812,f932(f932(f931(x104811,x104812),a923),a923)),f932(f932(f931(x104811,x104812),a923),f932(x104812,a923)),x104811),f7(x104812,f932(f931(x104811,x104812),a923),a923)),f319(f319(f8(f932(x104812,f931(x104811,x104812)),f932(x104812,f932(f932(f931(x104811,x104812),a923),a923)),x104811),f319(f8(f931(x104811,x104812),f932(f932(f931(x104811,x104812),a923),a923),x104812),f321(f931(x104811,x104812)))),f244(x104811,x104812)))),x104813)),f319(f319(f7(x104811,f932(f931(x104811,x104812),a923),f932(x104812,a923)),f319(f319(f8(f932(x104812,f932(f932(f931(x104811,x104812),a923),a923)),f932(f932(f931(x104811,x104812),a923),f932(x104812,a923)),x104811),f7(x104812,f932(f931(x104811,x104812),a923),a923)),f319(f319(f8(f932(x104812,f931(x104811,x104812)),f932(x104812,f932(f932(f931(x104811,x104812),a923),a923)),x104811),f319(f8(f931(x104811,x104812),f932(f932(f931(x104811,x104812),a923),a923),x104812),f321(f931(x104811,x104812)))),f244(x104811,x104812)))),x104814))) % 219.26/219.53 [9494]~P1(f319(f319(f321(f931(x94941,x94941)),x94942),f299(x94941,x94944)))+P1(f319(f319(f321(f931(x94941,x94941)),x94942),f299(x94941,f319(f319(f102(f932(f931(x94941,x94941),a923)),x94943),x94944)))) % 219.26/219.53 [9495]~P1(f319(f319(f321(f931(x94951,x94951)),x94952),f299(x94951,x94953)))+P1(f319(f319(f321(f931(x94951,x94951)),x94952),f299(x94951,f319(f319(f102(f932(f931(x94951,x94951),a923)),x94953),x94954)))) % 219.26/219.53 [10200]~P1(f319(f319(f226(a925),f319(f319(f74(a925),x102001),x102004)),f319(f319(f74(a925),x102003),x102002)))+P1(f319(f319(f226(a1),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102001),x102002)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102003),x102004)),f180(f932(f931(a925,a925),a923))))))) % 219.26/219.53 [10201]~P1(f319(f319(f227(a925),f319(f319(f74(a925),x102011),x102014)),f319(f319(f74(a925),x102013),x102012)))+P1(f319(f319(f227(a1),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102011),x102012)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102013),x102014)),f180(f932(f931(a925,a925),a923))))))) % 219.26/219.53 [10291]P1(f319(f319(f226(a925),f319(f319(f74(a925),x102911),x102912)),f319(f319(f74(a925),x102913),x102914)))+~P1(f319(f319(f226(a1),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102911),x102914)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102913),x102912)),f180(f932(f931(a925,a925),a923))))))) % 219.26/219.53 [10292]P1(f319(f319(f227(a925),f319(f319(f74(a925),x102921),x102922)),f319(f319(f74(a925),x102923),x102924)))+~P1(f319(f319(f227(a1),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102921),x102924)),f180(f932(f931(a925,a925),a923)))))),f319(a83,f319(f277(f931(a925,a925),f931(a925,a925),a100),f319(f319(f301(f931(a925,a925)),f319(f319(f244(a925,a925),x102923),x102922)),f180(f932(f931(a925,a925),a923))))))) % 219.26/219.53 [10334]P1(f319(f319(f226(f932(x103341,a923)),f319(f319(f33(a925,f932(x103341,a923)),f234(f932(a925,a923))),x103342)),f319(f319(f33(a925,f932(x103341,a923)),f234(f932(a925,a923))),x103343)))+~P1(f319(f319(f226(f932(x103341,a923)),f319(f319(f33(a925,f932(x103341,a923)),f319(f294(a925,f2(a925)),f369(x103343,x103344,x103342,x103341))),x103342)),f319(f319(f33(a925,f932(x103341,a923)),f319(f294(a925,f2(a925)),f319(f319(f74(a925),f369(x103343,x103344,x103342,x103341)),x103344))),x103343))) % 219.26/219.53 [10393]P1(f319(f319(f226(a91),x103934),f2(a91)))+E(f319(f319(f251(f931(a91,a91),f931(x103931,f932(a928,a315)),f931(a91,a91),f931(f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91))),f319(x103932,x103933)),f319(f319(f8(f932(f932(a91,f932(a923,f929(f927(x103931)))),f932(f931(a91,a91),f931(f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91)))),f932(f931(a91,a91),f931(f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91))),f931(x103931,f932(a928,a315))),f319(f251(f931(a91,a91),f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91),f931(f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91))),f269(x103931,x103932,f319(f319(f23(a91),x103934),f72(a91)),x103933))),f319(f319(f8(f932(f932(a91,f932(a923,f929(f927(x103931)))),f932(a91,f932(a923,f929(f927(x103931))))),f932(f932(a91,f932(a923,f929(f927(x103931)))),f932(f931(a91,a91),f931(f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91)))),f931(x103931,f932(a928,a315))),f319(f8(f932(a91,f932(a923,f929(f927(x103931)))),f932(f931(a91,a91),f931(f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91))),f932(a91,f932(a923,f929(f927(x103931))))),f244(f932(a91,f932(a923,f929(f927(x103931)))),f931(a91,a91)))),f319(f319(f8(f932(a91,f932(a923,f929(f927(x103931)))),f932(f932(a91,f932(a923,f929(f927(x103931)))),f932(a91,f932(a923,f929(f927(x103931))))),f931(x103931,f932(a928,a315))),f38(x103931)),f319(f319(f8(x103931,f932(a91,f932(a923,f929(f927(x103931)))),f931(x103931,f932(a928,a315))),f36(x103931)),f243(x103931,f932(a928,a315))))))),f269(x103931,x103932,x103934,x103933)) % 219.26/219.53 [10455]~P1(f319(f319(f321(x104552),x104554),f319(f276(x104551,x104552),x104553)))+P1(f319(f242(x104551,x104552,f319(f319(f7(x104551,f932(f931(x104551,x104552),a923),f932(x104552,a923)),f319(f319(f8(f932(x104552,f932(f932(f931(x104551,x104552),a923),a923)),f932(f932(f931(x104551,x104552),a923),f932(x104552,a923)),x104551),f7(x104552,f932(f931(x104551,x104552),a923),a923)),f319(f319(f8(f932(x104552,f931(x104551,x104552)),f932(x104552,f932(f932(f931(x104551,x104552),a923),a923)),x104551),f319(f8(f931(x104551,x104552),f932(f932(f931(x104551,x104552),a923),a923),x104552),f321(f931(x104551,x104552)))),f244(x104551,x104552)))),x104553)),x104554)) % 219.26/219.53 [10456]~P1(f319(f319(f321(x104561),x104564),f319(f256(x104561,x104562),x104563)))+P1(f319(f241(x104561,x104562,f319(f319(f7(x104561,f932(f931(x104561,x104562),a923),f932(x104562,a923)),f319(f319(f8(f932(x104562,f932(f932(f931(x104561,x104562),a923),a923)),f932(f932(f931(x104561,x104562),a923),f932(x104562,a923)),x104561),f7(x104562,f932(f931(x104561,x104562),a923),a923)),f319(f319(f8(f932(x104562,f931(x104561,x104562)),f932(x104562,f932(f932(f931(x104561,x104562),a923),a923)),x104561),f319(f8(f931(x104561,x104562),f932(f932(f931(x104561,x104562),a923),a923),x104562),f321(f931(x104561,x104562)))),f244(x104561,x104562)))),x104563)),x104564)) % 219.26/219.53 [10468]P1(f319(f319(f321(x104681),x104682),f319(f276(x104683,x104681),x104684)))+~P1(f319(f242(x104683,x104681,f319(f319(f7(x104683,f932(f931(x104683,x104681),a923),f932(x104681,a923)),f319(f319(f8(f932(x104681,f932(f932(f931(x104683,x104681),a923),a923)),f932(f932(f931(x104683,x104681),a923),f932(x104681,a923)),x104683),f7(x104681,f932(f931(x104683,x104681),a923),a923)),f319(f319(f8(f932(x104681,f931(x104683,x104681)),f932(x104681,f932(f932(f931(x104683,x104681),a923),a923)),x104683),f319(f8(f931(x104683,x104681),f932(f932(f931(x104683,x104681),a923),a923),x104681),f321(f931(x104683,x104681)))),f244(x104683,x104681)))),x104684)),x104682)) % 219.26/219.53 [10469]P1(f319(f319(f321(x104691),x104692),f319(f256(x104691,x104693),x104694)))+~P1(f319(f241(x104691,x104693,f319(f319(f7(x104691,f932(f931(x104691,x104693),a923),f932(x104693,a923)),f319(f319(f8(f932(x104693,f932(f932(f931(x104691,x104693),a923),a923)),f932(f932(f931(x104691,x104693),a923),f932(x104693,a923)),x104691),f7(x104693,f932(f931(x104691,x104693),a923),a923)),f319(f319(f8(f932(x104693,f931(x104691,x104693)),f932(x104693,f932(f932(f931(x104691,x104693),a923),a923)),x104691),f319(f8(f931(x104691,x104693),f932(f932(f931(x104691,x104693),a923),a923),x104693),f321(f931(x104691,x104693)))),f244(x104691,x104693)))),x104694)),x104692)) % 219.26/219.53 [10122]P1(f319(f152(x101221,x101222),x101223))+~P1(f319(f152(x101221,f319(f319(f18(x101221,a923,a923),f319(f319(f8(a923,f932(a923,a923),x101221),a317),x101224)),x101222)),x101223)) % 219.26/219.53 [10123]P1(f319(f152(x101231,x101232),x101233))+~P1(f319(f152(x101231,f319(f319(f18(x101231,a923,a923),f319(f319(f8(a923,f932(a923,a923),x101231),a317),x101232)),x101234)),x101233)) % 219.26/219.53 [10210]~P121(x102101)+E(f319(f319(f75(x102101),f319(f319(f74(x102101),f72(x102101)),f72(x102101))),f319(f319(f6(a925,x102101),f319(f319(f8(x102101,x102101,a925),f319(f74(x102101),x102102)),f319(f319(f7(a925,x102101,x102101),f319(f319(f8(x102101,f932(x102101,x102101),a925),f75(x102101)),f92(x102101))),x102103))),f319(f274(a925),x102104))),f319(f319(f75(x102101),f319(f92(x102101),x102104)),f319(f319(f74(x102101),x102102),f319(f319(f74(x102101),x102102),f319(f319(f75(x102101),f319(f92(x102101),f319(f319(f23(a925),x102104),f72(a925)))),x102103))))) % 219.26/219.53 [10355]P1(f319(x103551,f570(x103552,x103553,x103554,x103551)))+P38(x103552,f319(f254(f931(x103552,x103552)),f319(f249(x103552,x103552,a923),f319(f319(f8(f932(x103552,a923),f932(x103552,a923),x103552),f319(f18(x103552,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103552),a317),x103551))),f319(f319(f7(x103552,f932(x103552,x103552),f932(x103552,a923)),f319(f319(f8(f932(x103552,a923),f932(f932(x103552,x103552),f932(x103552,a923)),x103552),f8(x103552,a923,x103552)),a316)),x103553))))) % 219.26/219.53 [10370]~P1(f319(f319(f227(a925),f319(x103704,f319(x103703,f570(x103701,x103703,x103704,x103702)))),f319(x103704,f570(x103701,x103703,x103704,x103702))))+P38(x103701,f319(f254(f931(x103701,x103701)),f319(f249(x103701,x103701,a923),f319(f319(f8(f932(x103701,a923),f932(x103701,a923),x103701),f319(f18(x103701,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103701),a317),x103702))),f319(f319(f7(x103701,f932(x103701,x103701),f932(x103701,a923)),f319(f319(f8(f932(x103701,a923),f932(f932(x103701,x103701),f932(x103701,a923)),x103701),f8(x103701,a923,x103701)),a316)),x103703))))) % 219.26/219.53 [10441]~P6(x104411)+E(f32(x104411,f319(f254(x104411),f319(f319(f8(f932(f932(x104412,x104411),a923),a923,x104411),f81(f932(x104412,x104411))),f319(f319(f8(f932(f932(x104412,x104411),a923),f932(f932(x104412,x104411),a923),x104411),f319(f18(f932(x104412,x104411),a923,a923),f319(f319(f8(a923,f932(a923,a923),f932(x104412,x104411)),a317),f319(f319(f7(f932(x104412,x104411),f932(f932(x104412,x104411),a923),a923),f321(f932(x104412,x104411))),x104413)))),f319(f319(f7(x104411,f932(f932(x104412,x104411),x104411),f932(f932(x104412,x104411),a923)),f319(f319(f8(f932(x104411,a923),f932(f932(f932(x104412,x104411),x104411),f932(f932(x104412,x104411),a923)),x104411),f8(x104411,a923,f932(x104412,x104411))),a316)),f319(f319(f7(f932(x104412,x104411),x104412,x104411),f5(f932(x104412,x104411))),x104414)))))),f319(f32(f932(x104412,x104411),x104413),x104414)) % 219.26/219.53 [10442]~P6(x104421)+E(f32(x104421,f319(f254(x104421),f319(f319(f8(f932(f932(x104422,x104421),a923),a923,x104421),f81(f932(x104422,x104421))),f319(f319(f8(f932(f932(x104422,x104421),a923),f932(f932(x104422,x104421),a923),x104421),f319(f18(f932(x104422,x104421),a923,a923),f319(f319(f8(a923,f932(a923,a923),f932(x104422,x104421)),a317),f319(f319(f7(f932(x104422,x104421),f932(f932(x104422,x104421),a923),a923),f321(f932(x104422,x104421))),x104423)))),f319(f319(f7(x104421,f932(f932(x104422,x104421),x104421),f932(f932(x104422,x104421),a923)),f319(f319(f8(f932(x104421,a923),f932(f932(f932(x104422,x104421),x104421),f932(f932(x104422,x104421),a923)),x104421),f8(x104421,a923,f932(x104422,x104421))),a316)),f319(f319(f7(f932(x104422,x104421),x104422,x104421),f5(f932(x104422,x104421))),x104424)))))),f319(f32(f932(x104422,x104421),x104423),x104424)) % 219.26/219.53 [10443]~P6(x104431)+E(f31(x104431,f319(f254(x104431),f319(f319(f8(f932(f932(x104432,x104431),a923),a923,x104431),f81(f932(x104432,x104431))),f319(f319(f8(f932(f932(x104432,x104431),a923),f932(f932(x104432,x104431),a923),x104431),f319(f18(f932(x104432,x104431),a923,a923),f319(f319(f8(a923,f932(a923,a923),f932(x104432,x104431)),a317),f319(f319(f7(f932(x104432,x104431),f932(f932(x104432,x104431),a923),a923),f321(f932(x104432,x104431))),x104433)))),f319(f319(f7(x104431,f932(f932(x104432,x104431),x104431),f932(f932(x104432,x104431),a923)),f319(f319(f8(f932(x104431,a923),f932(f932(f932(x104432,x104431),x104431),f932(f932(x104432,x104431),a923)),x104431),f8(x104431,a923,f932(x104432,x104431))),a316)),f319(f319(f7(f932(x104432,x104431),x104432,x104431),f5(f932(x104432,x104431))),x104434)))))),f319(f31(f932(x104432,x104431),x104433),x104434)) % 219.26/219.53 [10444]~P6(x104441)+E(f31(x104441,f319(f254(x104441),f319(f319(f8(f932(f932(x104442,x104441),a923),a923,x104441),f81(f932(x104442,x104441))),f319(f319(f8(f932(f932(x104442,x104441),a923),f932(f932(x104442,x104441),a923),x104441),f319(f18(f932(x104442,x104441),a923,a923),f319(f319(f8(a923,f932(a923,a923),f932(x104442,x104441)),a317),f319(f319(f7(f932(x104442,x104441),f932(f932(x104442,x104441),a923),a923),f321(f932(x104442,x104441))),x104443)))),f319(f319(f7(x104441,f932(f932(x104442,x104441),x104441),f932(f932(x104442,x104441),a923)),f319(f319(f8(f932(x104441,a923),f932(f932(f932(x104442,x104441),x104441),f932(f932(x104442,x104441),a923)),x104441),f8(x104441,a923,f932(x104442,x104441))),a316)),f319(f319(f7(f932(x104442,x104441),x104442,x104441),f5(f932(x104442,x104441))),x104444)))))),f319(f31(f932(x104442,x104441),x104443),x104444)) % 219.26/219.53 [10496]~P1(f319(f319(f321(f931(x104961,x104961)),f319(f319(f244(x104961,x104961),x104963),x104964)),f319(f319(f102(f932(f931(x104961,x104961),a923)),x104962),f299(x104961,f180(f932(f931(x104961,x104961),a923))))))+P1(f319(f319(f319(f319(f102(f932(x104961,f932(x104961,a923))),f319(f319(f7(x104961,f932(f931(x104961,x104961),a923),f932(x104961,a923)),f319(f319(f8(f932(x104961,f932(f932(f931(x104961,x104961),a923),a923)),f932(f932(f931(x104961,x104961),a923),f932(x104961,a923)),x104961),f7(x104961,f932(f931(x104961,x104961),a923),a923)),f319(f319(f8(f932(x104961,f931(x104961,x104961)),f932(x104961,f932(f932(f931(x104961,x104961),a923),a923)),x104961),f319(f8(f931(x104961,x104961),f932(f932(f931(x104961,x104961),a923),a923),x104961),f321(f931(x104961,x104961)))),f244(x104961,x104961)))),x104962)),a316),x104963),x104964)) % 219.26/219.53 [10507]P1(f319(f319(f321(f931(x105071,x105071)),f319(f319(f244(x105071,x105071),x105072),x105073)),f319(f319(f102(f932(f931(x105071,x105071),a923)),x105074),f299(x105071,f180(f932(f931(x105071,x105071),a923))))))+~P1(f319(f319(f319(f319(f102(f932(x105071,f932(x105071,a923))),f319(f319(f7(x105071,f932(f931(x105071,x105071),a923),f932(x105071,a923)),f319(f319(f8(f932(x105071,f932(f932(f931(x105071,x105071),a923),a923)),f932(f932(f931(x105071,x105071),a923),f932(x105071,a923)),x105071),f7(x105071,f932(f931(x105071,x105071),a923),a923)),f319(f319(f8(f932(x105071,f931(x105071,x105071)),f932(x105071,f932(f932(f931(x105071,x105071),a923),a923)),x105071),f319(f8(f931(x105071,x105071),f932(f932(f931(x105071,x105071),a923),a923),x105071),f321(f931(x105071,x105071)))),f244(x105071,x105071)))),x105074)),a316),x105072),x105073)) % 219.26/219.53 [10452]E(f319(f319(f143(f926(x104521)),f319(f319(f143(x104521),x104522),f319(f134(f926(x104521),f926(x104521),f126(x104521),f105(x104521)),f319(f319(f146(f926(x104521),f926(x104521)),f148(f926(x104521),x104521,f105(x104521),f319(f319(f8(f926(x104521),f932(f926(x104521),f926(x104521)),x104521),f16(f926(x104521),f926(x104521))),f319(f319(f7(x104521,f926(x104521),f926(x104521)),f143(x104521)),f105(x104521))))),x104523)))),f171(x104521,f319(f319(f143(f926(x104521)),x104524),f319(f134(f926(f926(x104521)),f926(f926(x104521)),f126(f926(x104521)),f105(f926(x104521))),f319(f319(f146(f926(x104521),f926(f926(x104521))),f148(f926(f926(x104521)),x104521,f105(f926(x104521)),f319(f16(f932(f926(x104521),f926(f926(x104521))),x104521),f319(f319(f7(f926(x104521),f926(f926(x104521)),f926(f926(x104521))),f143(f926(x104521))),f105(f926(x104521)))))),x104523))))),f171(x104521,f319(f319(f143(f926(x104521)),f319(f319(f143(x104521),x104522),x104524)),x104523)))+~P1(f319(f307(f926(f926(x104521)),f172(x104521)),f319(f319(f143(f926(x104521)),f319(f319(f143(x104521),x104522),x104524)),x104523))) % 219.26/219.53 [10495]~P1(f319(f55(x104952),f319(f254(x104952),x104954)))+P1(f319(f55(x104951),f319(f254(x104951),f319(f319(f8(f932(x104952,a923),a923,x104951),f81(x104952)),f319(f319(f7(x104951,f932(x104952,a923),f932(x104952,a923)),f319(f319(f8(f932(x104952,f932(a923,a923)),f932(f932(x104952,a923),f932(x104952,a923)),x104951),f18(x104952,a923,a923)),f319(f319(f8(f932(x104952,a923),f932(x104952,f932(a923,a923)),x104951),f319(f8(a923,f932(a923,a923),x104952),a317)),f319(f319(f7(x104951,f932(x104952,x104951),f932(x104952,a923)),f319(f319(f8(f932(x104951,a923),f932(f932(x104952,x104951),f932(x104952,a923)),x104951),f8(x104951,a923,x104952)),a316)),x104953)))),x104954))))) % 219.26/219.53 [8981]P26(x89811,x89812,x89813,x89814)+~P27(x89811,x89812,x89813,x89814,x89815) % 219.26/219.53 [5473]E(x54731,x54732)+~E(f161(x54733,x54731,x54734),f161(x54733,x54732,x54735)) % 219.26/219.53 [5474]E(x54741,x54742)+~E(f118(x54743,x54744,x54741),f118(x54743,x54745,x54742)) % 219.26/219.53 [5475]E(x54751,x54752)+~E(f118(x54753,x54751,x54754),f118(x54753,x54752,x54755)) % 219.26/219.53 [8303]~E(f319(x83033,x83034),x83035)+E(f68(x83031,x83032,x83033,x83034,x83035),x83033) % 219.26/219.53 [8839]~E(f68(x88394,x88395,x88391,x88392,x88393),x88391)+E(f319(x88391,x88392),x88393) % 219.26/219.53 [9464]~P27(x94642,x94641,x94644,x94643,x94645)+P27(x94641,x94642,f71(x94642,x94641,x94643,x94644),x94645,x94643) % 219.26/219.53 [9465]~P27(x94652,x94651,x94654,x94653,x94655)+P27(x94651,x94652,f85(x94652,x94651,x94653,x94654),x94655,x94653) % 219.26/219.53 [6279]P1(f319(f242(x62791,x62792,x62793),x62794))+~P1(f319(f319(x62793,x62795),x62794)) % 219.26/219.53 [6281]P1(f319(f241(x62811,x62812,x62813),x62814))+~P1(f319(f319(x62813,x62814),x62815)) % 219.26/219.53 [6755]~E(x67555,f2(a91))+E(f319(f188(x67551,x67552,x67553,x67554),x67555),f116(x67552)) % 219.26/219.53 [6756]~E(x67565,f2(a91))+E(f319(f190(x67561,x67562,x67563,x67564),x67565),f107(x67562)) % 219.26/219.53 [6897]~E(x68973,f2(a91))+E(f319(f265(x68971,x68972,x68973,x68974),x68975),f319(f244(x68971,x68972),x68975)) % 219.26/219.53 [7948]~P21(x79484,x79481,x79482,x79485)+E(f319(f66(x79481,x79481,x79481,f319(x79482,x79483)),f319(x79482,x79483)),f319(x79482,x79483)) % 219.26/219.53 [8343]~P17(x83435,x83431,x83432)+E(f319(f66(x83431,x83431,x83431,f319(x83432,x83433)),f319(x83432,x83434)),f319(f66(x83431,x83431,x83431,f319(x83432,x83434)),f319(x83432,x83433))) % 219.26/219.53 [8671]P1(f319(f319(f321(f931(x86711,x86711)),f319(f319(f244(x86711,x86711),x86712),x86713)),f313(x86711,x86714,x86715)))+~P1(f319(f319(f227(a925),f319(x86714,x86712)),f319(x86714,x86713))) % 219.26/219.53 [8766]~P1(f319(f319(f321(x87664),x87663),f291(x87664,x87661,x87662,x87665)))+P1(f319(f319(x87661,x87662),x87663)) % 219.26/219.53 [8767]~P1(f319(f319(f321(x87674),x87673),f282(x87674,x87671,x87672,x87675)))+P1(f319(f319(x87671,x87672),x87673)) % 219.26/219.53 [8768]~P1(f319(f319(f321(x87684),x87682),f291(x87684,x87681,x87685,x87683)))+P1(f319(f319(x87681,x87682),x87683)) % 219.26/219.53 [8769]~P1(f319(f319(f321(x87694),x87692),f282(x87694,x87691,x87695,x87693)))+P1(f319(f319(x87691,x87692),x87693)) % 219.26/219.53 [8851]~P27(x88511,x88513,x88515,x88512,x88514)+E(f319(f29(x88511),x88512),f319(f29(x88513),x88514)) % 219.26/219.53 [8899]~P27(x88991,x88992,x88993,x88994,x88995)+E(f319(f302(x88991,x88992,x88993),x88994),x88995) % 219.26/219.53 [8919]~P61(x89192,x89191,x89195,x89193,x89194)+E(f319(f302(x89191,x89192,x89193),x89194),f234(f932(x89192,a923))) % 219.26/219.53 [9372]~P35(x93721,x93722,x93723,x93724,x93725)+P35(x93721,x93722,x93723,f319(f160(x93721),x93724),f319(f160(x93722),x93725)) % 219.26/219.53 [9374]~P35(x93741,x93742,x93743,f319(f160(x93741),x93744),x93745)+P35(x93741,x93742,x93743,x93744,f319(f160(x93742),x93745)) % 219.26/219.53 [9375]~P35(x93751,x93752,x93753,x93754,f319(f160(x93752),x93755))+P35(x93751,x93752,x93753,f319(f160(x93751),x93754),x93755) % 219.26/219.53 [9381]P35(x93811,x93812,x93813,x93814,x93815)+~P35(x93811,x93812,x93813,f319(f160(x93811),x93814),f319(f160(x93812),x93815)) % 219.26/219.53 [9789]P1(f319(f319(f321(f931(f926(x97891),f926(x97891))),f319(f319(f244(f926(x97891),f926(x97891)),f319(f319(f143(x97891),x97892),x97893)),f319(f319(f143(x97891),x97892),x97894))),f149(x97891,x97895)))+~P1(f319(f319(f321(f931(f926(x97891),f926(x97891))),f319(f319(f244(f926(x97891),f926(x97891)),x97893),x97894)),f149(x97891,x97895))) % 219.26/219.53 [9790]P1(f319(f319(f321(f931(f926(x97901),f926(x97901))),f319(f319(f244(f926(x97901),f926(x97901)),f319(f319(f126(x97901),x97902),x97903)),f319(f319(f126(x97901),x97902),x97904))),f139(x97901,x97905)))+~P1(f319(f319(f321(f931(f926(x97901),f926(x97901))),f319(f319(f244(f926(x97901),f926(x97901)),x97903),x97904)),f139(x97901,x97905))) % 219.26/219.53 [9999]E(f319(f319(f143(x99991),f672(x99992,x99993,x99994,x99995,x99991)),f674(x99992,x99993,x99994,x99995,x99991)),x99995)+~P1(f319(f319(f321(f931(f926(x99991),f926(x99991))),f319(f319(f244(f926(x99991),f926(x99991)),x99995),f319(f319(f143(x99991),x99994),x99993))),f150(x99991,x99992))) % 219.26/219.53 [10022]E(f319(f319(f143(x100221),f675(x100222,x100223,x100224,x100225,x100221)),f676(x100222,x100223,x100224,x100225,x100221)),x100223)+~P1(f319(f319(f321(f931(f926(x100221),f926(x100221))),f319(f319(f244(f926(x100221),f926(x100221)),f319(f319(f143(x100221),x100225),x100224)),x100223)),f150(x100221,x100222))) % 219.26/219.53 [10172]~P1(f319(f319(f321(f931(f926(x101721),f926(x101721))),f319(f319(f244(f926(x101721),f926(x101721)),f319(f319(f143(x101721),x101725),x101722)),x101724)),f150(x101721,x101723)))+P1(f319(f319(f321(f931(f926(x101721),f926(x101721))),f319(f319(f244(f926(x101721),f926(x101721)),x101722),f676(x101723,x101724,x101722,x101725,x101721))),f150(x101721,x101723))) % 219.26/219.53 [10255]~P1(f319(f319(f321(f931(f926(x102551),f926(x102551))),f319(f319(f244(f926(x102551),f926(x102551)),x102555),f319(f319(f143(x102551),x102554),x102553))),f150(x102551,x102552)))+P1(f319(f319(f321(f931(f926(x102551),f926(x102551))),f319(f319(f244(f926(x102551),f926(x102551)),f674(x102552,x102553,x102554,x102555,x102551)),x102553)),f150(x102551,x102552))) % 219.26/219.53 [10446]P1(f319(f319(f321(f931(x104461,x104461)),f319(f319(f244(x104461,x104461),f319(x104462,f319(f319(f74(a925),x104463),x104464))),f319(x104462,x104463))),f299(x104461,x104465)))+~P1(f319(f319(f321(f931(x104461,x104461)),f319(f319(f244(x104461,x104461),f319(x104462,f319(a104,f624(x104464,x104463,x104465,x104462,x104461)))),f319(x104462,f624(x104464,x104463,x104465,x104462,x104461)))),f299(x104461,x104465))) % 219.26/219.53 [5447]E(x54471,x54472)+~E(f319(f319(f143(x54473),x54474),x54471),f319(f319(f143(x54473),x54475),x54472)) % 219.26/219.53 [5448]E(x54481,x54482)+~E(f319(f319(f143(x54483),x54481),x54484),f319(f319(f143(x54483),x54482),x54485)) % 219.26/219.53 [5490]P1(f319(x54901,x54902))+~E(f319(f128(x54903,x54901),x54904),f319(f319(f143(x54903),x54902),x54905)) % 219.26/219.53 [5491]P1(f319(x54911,x54912))+~E(f319(f319(f143(x54913),x54912),x54914),f319(f128(x54913,x54911),x54915)) % 219.26/219.53 [5648]~E(f319(f319(f130(x56481),x56483),x56482),f319(f319(f143(x56481),x56484),x56485))+E(f319(f319(f156(x56481),x56482),x56483),x56484) % 219.26/219.53 [5786]~P15(x57864,x57865,x57861)+E(f319(f319(x57861,x57862),f319(f319(x57861,x57862),x57863)),f319(f319(x57861,x57862),x57863)) % 219.26/219.53 [6337]~E(x63374,f2(a91))+E(f319(f319(f109(x63371,x63372,x63373),x63374),x63375),f319(f319(f244(f926(x63372),x63371),f105(x63372)),x63375)) % 219.26/219.53 [6406]~P4(x64062)+~E(f319(f319(f140(x64061,x64062,x64063),x64064),x64065),f105(x64061)) % 219.26/219.53 [6794]E(x67941,x67942)+~E(f319(f319(f126(x67943),x67944),f319(f319(f143(x67943),x67941),f105(x67943))),f319(f319(f126(x67943),x67945),f319(f319(f143(x67943),x67942),f105(x67943)))) % 219.26/219.53 [6795]E(x67951,x67952)+~E(f319(f319(f126(x67953),x67951),f319(f319(f143(x67953),x67954),f105(x67953))),f319(f319(f126(x67953),x67952),f319(f319(f143(x67953),x67955),f105(x67953)))) % 219.26/219.53 [7118]E(f319(f319(f301(x71181),f319(x71182,x71183)),f319(f302(x71184,x71181,x71182),x71185)),f319(f302(x71184,x71181,x71182),x71185))+~P1(f319(f319(f321(x71184),x71183),x71185)) % 219.26/219.53 [7124]~P1(f319(x71244,f319(x71243,x71245)))+P1(f319(f319(f303(x71241,x71242,x71243),x71244),x71245)) % 219.26/219.53 [7127]~P1(f319(f319(x71273,x71275),x71274))+P1(f319(f319(f235(x71271,x71272,x71273),x71274),x71275)) % 219.26/219.53 [7222]~E(f319(f302(x72221,x72222,x72223),x72224),x72225)+E(f319(f302(f932(x72221,a923),f932(x72222,a923),f302(x72221,x72222,x72223)),f319(f300(x72221),x72224)),f319(f300(x72222),x72225)) % 219.26/219.53 [7249]E(f319(f263(x72491,x72492,x72493,x72494),x72495),f319(x72494,x72495))+~P1(f319(f319(f321(x72491),x72495),x72493)) % 219.26/219.53 [7563]P26(x75631,x75632,x75633,x75634)+~P26(x75631,x75632,x75633,f319(f319(f301(x75631),x75635),x75634)) % 219.26/219.53 [7667]~P1(f319(f319(f321(x76674),x76673),x76675))+P1(f319(f319(f321(x76671),f319(x76672,x76673)),f319(f302(x76674,x76671,x76672),x76675))) % 219.26/219.53 [7688]~P4(x76882)+E(f142(x76881,x76882,x76883,f319(f128(x76881,x76884),x76885)),f319(f128(x76881,x76884),f142(x76881,x76882,x76883,x76885))) % 219.26/219.53 [7718]P1(f319(x77181,f319(x77182,x77183)))+~P1(f319(f319(f303(x77184,x77185,x77182),x77181),x77183)) % 219.26/219.53 [7721]P1(f319(f319(x77211,x77212),x77213))+~P1(f319(f319(f235(x77214,x77215,x77211),x77213),x77212)) % 219.26/219.53 [7784]~P1(f319(f319(f321(x77843),f319(x77844,x77842)),x77845))+P1(f319(f319(f321(x77841),x77842),f319(f303(x77841,x77843,x77844),x77845))) % 219.26/219.53 [8183]~P1(f319(f319(f321(x81835),x81833),f319(f303(x81835,x81831,x81832),x81834)))+P1(f319(f319(f321(x81831),f319(x81832,x81833)),x81834)) % 219.26/219.53 [8483]~P17(x84832,x84831,x84833)+E(f319(f134(x84831,x84832,f319(f7(x84832,x84831,x84831),x84833),x84834),f144(x84832,x84835)),f319(f319(f58(x84832,x84831,x84833),x84834),f319(f164(x84832),x84835))) % 219.26/219.53 [8505]E(f319(x85051,f760(x85052,x85051,x85053,x85054)),x85054)+~P1(f319(f319(f321(x85055),x85054),f319(f302(x85053,x85055,x85051),x85052))) % 219.26/219.53 [8506]E(f319(x85061,f813(x85062,x85061,x85063,x85064)),x85064)+~P1(f319(f319(f321(x85065),x85064),f319(f302(x85063,x85065,x85061),x85062))) % 219.26/219.53 [8814]~E(x88142,f319(f319(f143(x88141),x88144),x88145))+P1(f319(f319(f321(f931(f926(x88141),f926(x88141))),f319(f319(f244(f926(x88141),f926(x88141)),f105(x88141)),x88142)),f139(x88141,x88143))) % 219.26/219.53 [8860]E(f319(x88601,f319(f85(x88602,x88603,x88604,x88601),x88605)),x88605)+~P1(f319(f319(f321(x88603),x88605),f319(f302(x88602,x88603,x88601),x88604))) % 219.26/219.53 [8863]P26(x88631,x88632,f85(x88632,x88631,x88633,x88634),x88635)+~P1(f319(f319(f226(f932(x88631,a923)),x88635),f319(f302(x88632,x88631,x88634),x88633))) % 219.26/219.53 [8870]~P35(x88701,x88703,x88705,x88702,x88704)+E(f319(f181(f926(x88701)),x88702),f319(f181(f926(x88703)),x88704)) % 219.26/219.53 [8881]P1(f319(f319(f226(f932(x88811,a923)),f319(f319(f34(x88812,f932(x88811,a923)),x88813),x88814)),f319(x88814,x88815)))+~P1(f319(f319(f321(x88812),x88815),x88813)) % 219.26/219.53 [8935]~P61(x89351,x89352,x89353,x89355,x89354)+E(f319(f302(x89351,x89352,x89353),f234(f932(x89351,a923))),x89354) % 219.26/219.53 [9164]E(f319(f128(x91641,x91642),f763(x91643,x91644,x91645,x91642,x91641)),x91643)+~E(f319(f128(x91641,x91642),x91645),f319(f319(f143(x91641),x91644),x91643)) % 219.26/219.53 [9165]E(f319(f128(x91651,x91652),f764(x91653,x91652,x91654,x91655,x91651)),x91654)+~E(f319(f319(f143(x91651),x91655),x91654),f319(f128(x91651,x91652),x91653)) % 219.26/219.53 [9260]E(f319(f181(f926(x92601)),x92602),x92603)+~P1(f319(f319(f321(f931(f926(x92601),f926(x92601))),f319(f319(f244(f926(x92601),f926(x92601)),x92604),x92602)),f319(f135(x92601,x92605),x92603))) % 219.26/219.53 [9261]E(f319(f181(f926(x92611)),x92612),x92613)+~P1(f319(f319(f321(f931(f926(x92611),f926(x92611))),f319(f319(f244(f926(x92611),f926(x92611)),x92612),x92614)),f319(f135(x92611,x92615),x92613))) % 219.26/219.53 [9330]P1(f319(f319(f321(x93301),f760(x93302,x93303,x93301,x93304)),x93302))+~P1(f319(f319(f321(x93305),x93304),f319(f302(x93301,x93305,x93303),x93302))) % 219.26/219.53 [9331]P1(f319(f319(f321(x93311),f813(x93312,x93313,x93311,x93314)),x93312))+~P1(f319(f319(f321(x93315),x93314),f319(f302(x93311,x93315,x93313),x93312))) % 219.26/219.53 [9490]~P41(f932(x94903,a923),f932(x94901,a923),x94902)+P1(f319(f319(f226(f932(x94901,a923)),f319(x94902,f319(f319(f93(f932(x94903,a923)),x94904),x94905))),f319(f319(f93(f932(x94901,a923)),f319(x94902,x94904)),f319(x94902,x94905)))) % 219.26/219.53 [9492]E(f319(f302(x94921,x94922,x94923),f770(x94924,x94923,x94921,x94925,x94922)),x94925)+~P1(f319(f319(f226(f932(x94922,a923)),x94925),f319(f302(x94921,x94922,x94923),x94924))) % 219.26/219.53 [9807]P1(f319(f319(f321(f931(f926(x98071),f926(x98071))),f319(f319(f244(f926(x98071),f926(x98071)),f319(f319(f143(x98071),x98072),x98073)),f319(f319(f143(x98071),x98072),x98074))),f299(f926(x98071),f149(x98071,x98075))))+~P1(f319(f319(f321(f931(f926(x98071),f926(x98071))),f319(f319(f244(f926(x98071),f926(x98071)),x98073),x98074)),f299(f926(x98071),f149(x98071,x98075)))) % 219.26/219.53 [9838]~E(f319(x98383,f715(x98385,x98384,x98383,x98382,x98381)),f319(x98385,f715(x98385,x98384,x98383,x98382,x98381)))+E(f319(f319(f146(x98381,x98382),x98383),x98384),f319(f319(f146(x98381,x98382),x98385),x98384)) % 219.26/219.53 [9916]~E(f319(f128(x99161,x99165),x99164),f319(f319(f143(x99161),x99163),x99162))+E(f319(f319(f126(x99161),f767(x99162,x99163,x99164,x99165,x99161)),f319(f319(f143(x99161),x99163),f763(x99162,x99163,x99164,x99165,x99161))),x99164) % 219.26/219.53 [9917]~E(f319(f319(f143(x99171),x99175),x99174),f319(f128(x99171,x99173),x99172))+E(f319(f319(f126(x99171),f765(x99172,x99173,x99174,x99175,x99171)),f319(f319(f143(x99171),x99175),f764(x99172,x99173,x99174,x99175,x99171))),x99172) % 219.27/219.53 [9921]E(f319(f319(f146(x99211,x99212),x99213),x99214),f319(f319(f146(x99211,x99212),x99215),x99214))+P1(f319(f319(f321(x99211),f715(x99213,x99214,x99215,x99212,x99211)),f319(f164(x99211),x99214))) % 219.27/219.53 [9957]~P1(f319(f319(f321(x99575),x99574),f319(f277(x99571,x99575,x99573),x99572)))+P1(f319(f319(f321(x99571),f530(x99572,x99573,x99571,x99574,x99575)),x99572)) % 219.27/219.53 [9958]~P1(f319(f319(f321(x99585),x99584),f319(f277(x99581,x99585,x99583),x99582)))+P1(f319(f319(f321(x99581),f556(x99582,x99583,x99581,x99584,x99585)),x99582)) % 219.27/219.53 [9993]~P1(f319(f319(f226(f932(x99935,a923)),x99934),f319(f302(x99931,x99935,x99933),x99932)))+P1(f319(f319(f226(f932(x99931,a923)),f770(x99932,x99933,x99931,x99934,x99935)),x99932)) % 219.27/219.53 [10447]E(x104471,f2(a91))+E(f215(f931(f926(x104472),x104473),f931(x104472,x104473),f319(f319(f244(f926(x104472),x104473),f105(x104472)),x104474),f319(f249(x104472,x104473,f931(f926(x104472),x104473)),f319(f319(f7(x104472,f932(x104473,f931(f926(x104472),x104473)),f932(x104473,f931(f926(x104472),x104473))),f319(f319(f8(f932(f931(f926(x104472),x104473),f931(f926(x104472),x104473)),f932(f932(x104473,f931(f926(x104472),x104473)),f932(x104473,f931(f926(x104472),x104473))),x104472),f8(f931(f926(x104472),x104473),f931(f926(x104472),x104473),x104473)),f319(f319(f8(f932(f926(x104472),f932(x104473,f931(f926(x104472),x104473))),f932(f931(f926(x104472),x104473),f931(f926(x104472),x104473)),x104472),f249(f926(x104472),x104473,f931(f926(x104472),x104473))),f319(f319(f8(f932(f926(x104472),f926(x104472)),f932(f926(x104472),f932(x104473,f931(f926(x104472),x104473))),x104472),f319(f8(f926(x104472),f932(x104473,f931(f926(x104472),x104473)),f926(x104472)),f244(f926(x104472),x104473))),f143(x104472))))),f319(f109(x104473,x104472,x104475),f319(f319(f23(a91),x104471),f72(a91))))),f319(x104475,x104474)),f319(f319(f109(x104473,x104472,x104475),x104471),x104474)) % 219.27/219.53 [6220]E(x62201,x62202)+~E(f319(f248(x62203,x62204),f319(f319(f244(x62203,x62204),x62205),x62201)),x62202) % 219.27/219.53 [6221]E(x62211,x62212)+~E(f319(f243(x62213,x62214),f319(f319(f244(x62213,x62214),x62211),x62215)),x62212) % 219.27/219.53 [6480]~E(x64803,f319(f319(f126(x64801),x64804),f319(f319(f143(x64801),x64802),x64805)))+P1(f319(f319(f321(x64801),x64802),f319(f164(x64801),x64803))) % 219.27/219.53 [6883]E(f319(f302(x68831,x68832,f319(f16(x68832,x68831),x68833)),x68834),f319(f319(f301(x68832),x68833),f180(f932(x68832,a923))))+~P1(f319(f319(f321(x68831),x68835),x68834)) % 219.27/219.53 [6957]E(f319(f319(f102(f932(x69571,a923)),f319(f164(x69571),x69572)),f319(f164(x69571),x69573)),f319(f164(x69571),x69574))+~E(f158(x69571,x69575,x69574),f319(f319(f244(f926(x69571),f926(x69571)),x69572),x69573)) % 219.27/219.53 [7056]~P4(x70562)+E(f319(f181(f926(x70561)),f319(f319(f140(x70561,x70562,x70563),x70564),x70565)),f319(a104,f319(f181(f926(x70561)),x70565))) % 219.27/219.53 [7072]~P4(x70722)+E(f319(f164(x70721),f319(f319(f140(x70721,x70722,x70723),x70724),x70725)),f319(f319(f301(x70721),x70724),f319(f164(x70721),x70725))) % 219.27/219.53 [7344]~P121(x73441)+E(f319(f319(f75(x73441),f319(f319(f75(x73441),x73442),x73443)),f319(f319(f75(x73441),x73444),x73445)),f319(f319(f75(x73441),f319(f319(f75(x73441),x73442),x73444)),f319(f319(f75(x73441),x73443),x73445))) % 219.27/219.53 [7345]~P121(x73451)+E(f319(f319(f74(x73451),f319(f319(f74(x73451),x73452),x73453)),f319(f319(f74(x73451),x73454),x73455)),f319(f319(f74(x73451),f319(f319(f74(x73451),x73452),x73454)),f319(f319(f74(x73451),x73453),x73455))) % 219.27/219.53 [7346]~P72(x73461)+E(f319(f319(f283(x73461),f319(f319(f75(x73461),x73462),x73463)),f319(f319(f75(x73461),x73464),x73465)),f319(f319(f75(x73461),f319(f319(f283(x73461),x73462),x73464)),f319(f319(f283(x73461),x73463),x73465))) % 219.27/219.53 [7360]~P4(x73601)+E(f295(x73601,f319(f319(f225(x73601),x73602),x73603),f319(f319(f224(x73601),x73604),x73605)),f319(f319(f93(f932(x73601,a923)),f295(x73601,x73602,x73604)),f295(x73601,x73603,x73605))) % 219.27/219.53 [7361]~P4(x73611)+E(f297(x73611,f319(f319(f225(x73611),x73612),x73613),f319(f319(f224(x73611),x73614),x73615)),f319(f319(f93(f932(x73611,a923)),f297(x73611,x73612,x73614)),f297(x73611,x73613,x73615))) % 219.27/219.53 [7362]~P4(x73621)+E(f298(x73621,f319(f319(f225(x73621),x73622),x73623),f319(f319(f224(x73621),x73624),x73625)),f319(f319(f93(f932(x73621,a923)),f298(x73621,x73622,x73624)),f298(x73621,x73623,x73625))) % 219.27/219.53 [7363]~P4(x73631)+E(f319(f319(f93(f932(x73631,a923)),f319(f294(x73631,x73632),x73633)),f319(f294(x73631,x73634),x73635)),f319(f294(x73631,f319(f319(f225(x73631),x73632),x73634)),f319(f319(f224(x73631),x73633),x73635))) % 219.27/219.53 [7485]~P1(f319(x74851,f529(x74853,x74852,x74851)))+P1(f319(x74851,f319(f319(f244(x74852,x74853),x74854),x74855))) % 219.27/219.53 [7593]~E(x75932,f319(x75934,x75935))+P1(f319(f319(f321(x75931),x75932),f319(f302(x75933,x75931,x75934),f234(f932(x75933,a923))))) % 219.27/219.53 [7664]~P15(x76643,x76642,x76644)+P15(x76641,x76642,f319(f319(f8(x76643,f932(x76642,x76642),x76641),x76644),x76645)) % 219.27/219.53 [7665]~P17(x76653,x76652,x76654)+P17(x76651,x76652,f319(f319(f8(x76653,f932(x76652,x76652),x76651),x76654),x76655)) % 219.27/219.53 [7801]~P26(x78011,x78012,x78013,x78014)+P26(x78011,x78012,x78013,f319(f319(f23(f932(x78011,a923)),x78014),x78015)) % 219.27/219.53 [7957]~P1(f319(f319(x79573,x79574),x79575))+P1(f319(f319(f249(x79571,x79572,a923),x79573),f319(f319(f244(x79571,x79572),x79574),x79575))) % 219.27/219.53 [8071]~P1(f319(x80712,x80714))+~E(f319(f319(f130(x80711),f319(f181(f926(x80711)),f169(x80711,x80712,x80713))),x80713),f319(f319(f143(x80711),x80714),x80715)) % 219.27/219.53 [8091]P26(x80911,x80912,x80913,x80914)+~P26(x80911,x80912,x80913,f319(f319(f102(f932(x80911,a923)),x80915),x80914)) % 219.27/219.53 [8092]P26(x80921,x80922,x80923,x80924)+~P26(x80921,x80922,x80923,f319(f319(f102(f932(x80921,a923)),x80924),x80925)) % 219.27/219.53 [8139]~P4(x81392)+E(f319(f319(f140(x81391,x81392,x81393),x81394),f142(x81391,x81392,x81393,x81395)),f142(x81391,x81392,x81393,f319(f319(f143(x81391),x81394),x81395))) % 219.27/219.53 [8459]~P15(x84592,x84591,x84593)+E(f319(f134(x84591,x84592,f319(f7(x84592,x84591,x84591),x84593),x84594),x84595),f319(f319(f58(x84592,x84591,x84593),x84594),f319(f164(x84592),x84595))) % 219.27/219.53 [8488]~E(f319(f319(f130(x84881),f319(f181(f926(x84881)),f169(x84881,x84882,x84883))),x84883),f319(f319(f143(x84881),x84884),x84885))+E(f319(f319(f126(x84881),f169(x84881,x84882,x84883)),f319(f319(f143(x84881),x84884),x84885)),x84883) % 219.27/219.53 [8516]P1(f319(f319(x85161,x85162),x85163))+~P1(f319(f319(f249(x85164,x85165,a923),x85161),f319(f319(f244(x85164,x85165),x85162),x85163))) % 219.27/219.53 [8999]P1(f319(f319(f226(f932(x89991,a923)),f319(f302(x89992,x89991,x89993),x89994)),f319(f302(x89992,x89991,x89993),x89995)))+~P1(f319(f319(f226(f932(x89992,a923)),x89994),x89995)) % 219.27/219.53 [9000]P1(f319(f319(f226(f932(x90001,a923)),f319(f303(x90001,x90002,x90003),x90004)),f319(f303(x90001,x90002,x90003),x90005)))+~P1(f319(f319(f226(f932(x90002,a923)),x90004),x90005)) % 219.27/219.53 [9079]E(x90791,f2(a91))+E(f319(f319(f251(x90792,x90793,x90792,f931(x90793,x90792)),f319(x90794,x90795)),f265(x90793,x90792,f319(f319(f23(a91),x90791),f72(a91)),x90794)),f319(f265(x90793,x90792,x90791,x90794),x90795)) % 219.27/219.53 [9191]P1(f319(f319(f247(x91911,x91912,a923,x91913),x91914),x91915))+~P1(f319(x91913,f319(f319(f244(x91911,x91912),x91914),x91915))) % 219.27/219.53 [9470]~P1(f319(f319(f247(x94702,x94703,a923,x94701),x94704),x94705))+P1(f319(x94701,f319(f319(f244(x94702,x94703),x94704),x94705))) % 219.27/219.53 [9656]~P1(f319(f319(f321(x96562),x96565),f319(f302(x96561,x96562,x96564),x96563)))+P1(f319(f319(f321(x96561),f319(f85(x96561,x96562,x96563,x96564),x96565)),x96563)) % 219.27/219.53 [9747]~P1(f319(f55(x97473),f319(f302(x97472,x97473,x97475),f234(f932(x97472,a923)))))+P1(f319(f55(x97471),f319(f302(x97472,x97471,f319(f319(f8(x97473,x97471,x97472),x97474),x97475)),f234(f932(x97472,a923))))) % 219.27/219.53 [9774]P1(f319(f319(f226(f932(f932(x97741,a923),a923)),f319(f302(f932(x97742,a923),f932(x97741,a923),f302(x97742,x97741,x97743)),f319(f300(x97742),x97744))),f319(f300(x97741),x97745)))+~P1(f319(f319(f226(f932(x97741,a923)),f319(f302(x97742,x97741,x97743),x97744)),x97745)) % 219.27/219.53 [9846]E(x98461,x98462)+~P1(f319(f60(x98463,x98464,x98465,x98461,f180(f932(x98463,a923))),x98462)) % 219.27/219.53 [9863]E(f319(f319(f244(x98631,x98632),f584(x98633,x98634,x98635,x98632,x98631)),f585(x98633,x98634,x98635,x98632,x98631)),x98635)+~P1(f319(f319(f321(f931(x98631,x98632)),x98635),f319(f319(f246(x98631,x98632),x98634),x98633))) % 219.27/219.53 [9963]P1(f319(f319(f321(x99631),f584(x99632,x99633,x99634,x99635,x99631)),x99633))+~P1(f319(f319(f321(f931(x99631,x99635)),x99634),f319(f319(f246(x99631,x99635),x99633),x99632))) % 219.27/219.53 [9975]P1(f319(f319(f321(x99751),f824(x99752,x99753,x99754,x99755,x99751)),x99755))+P1(f319(f319(f226(f932(x99754,a923)),f319(f302(x99751,x99754,x99753),x99755)),x99752)) % 219.27/219.53 [10131]P1(f319(f319(f321(x101311),f585(x101312,x101313,x101314,x101311,x101315)),f319(x101312,f584(x101312,x101313,x101314,x101311,x101315))))+~P1(f319(f319(f321(f931(x101315,x101311)),x101314),f319(f319(f246(x101315,x101311),x101313),x101312))) % 219.27/219.53 [10151]P1(f319(f319(f321(f931(x101511,x101511)),f319(f319(f244(x101511,x101511),x101512),f645(x101513,x101514,x101515,x101512,x101511))),x101513))+~P1(f319(f319(f321(f931(x101511,x101511)),f319(f319(f244(x101511,x101511),x101512),x101515)),f319(f319(f175(f931(x101511,x101511),a923),f319(a104,x101514)),x101513))) % 219.27/219.53 [10152]P1(f319(f319(f321(f931(x101521,x101521)),f319(f319(f244(x101521,x101521),x101522),f647(x101523,x101524,x101525,x101522,x101521))),x101523))+~P1(f319(f319(f321(f931(x101521,x101521)),f319(f319(f244(x101521,x101521),x101522),x101525)),f319(f319(f175(f931(x101521,x101521),a923),f319(a104,x101524)),x101523))) % 219.27/219.53 [10169]~P1(f319(f319(f321(f931(f926(x101691),f926(x101691))),f319(f319(f244(f926(x101691),f926(x101691)),f319(f319(f143(x101691),x101692),x101695)),x101694)),f150(x101691,x101693)))+P1(f319(f319(f321(f931(x101691,x101691)),f319(f319(f244(x101691,x101691),x101692),f675(x101693,x101694,x101695,x101692,x101691))),x101693)) % 219.27/219.53 [10192]~P1(f319(f319(f321(x101921),f319(x101923,f824(x101925,x101923,x101921,x101924,x101922))),x101925))+P1(f319(f319(f226(f932(x101921,a923)),f319(f302(x101922,x101921,x101923),x101924)),x101925)) % 219.27/219.53 [6558]P1(f319(x65582,x65584))+E(f169(x65581,x65582,f319(f319(f126(x65581),x65583),f319(f319(f143(x65581),x65584),x65585))),f169(x65581,x65582,x65583)) % 219.27/219.53 [6609]~P102(x66092)+E(f319(f319(f319(f102(f932(x66091,x66092)),x66093),x66094),x66095),f319(f319(f102(x66092),f319(x66093,x66095)),f319(x66094,x66095))) % 219.27/219.53 [6611]~P102(x66112)+E(f319(f319(f319(f93(f932(x66111,x66112)),x66113),x66114),x66115),f319(f319(f93(x66112),f319(x66113,x66115)),f319(x66114,x66115))) % 219.27/219.53 [6613]~P83(x66132)+E(f319(f319(f319(f23(f932(x66131,x66132)),x66133),x66134),x66135),f319(f319(f23(x66132),f319(x66133,x66135)),f319(x66134,x66135))) % 219.27/219.53 [6630]E(x66301,x66302)+E(f319(f319(f156(x66303),f319(f319(f151(x66303,x66304),x66301),x66305)),x66302),f319(f319(f156(x66303),x66304),x66302)) % 219.27/219.53 [6903]~E(x69034,f180(f932(x69033,a923)))+E(f319(f319(f102(f932(x69031,a923)),x69032),f319(f319(f33(x69033,f932(x69031,a923)),x69034),x69035)),x69032) % 219.27/219.53 [6904]~E(x69044,f180(f932(x69043,a923)))+E(f319(f319(f93(f932(x69041,a923)),x69042),f319(f319(f34(x69043,f932(x69041,a923)),x69044),x69045)),x69042) % 219.27/219.53 [6905]~E(x69054,f180(f932(x69053,a923)))+E(f319(f319(f23(f932(x69051,a923)),x69052),f319(f319(f33(x69053,f932(x69051,a923)),x69054),x69055)),x69052) % 219.27/219.53 [6922]~E(x69224,f180(f932(x69223,a923)))+E(f319(f319(f301(x69221),x69222),f319(f319(f33(x69223,f932(x69221,a923)),x69224),x69225)),f319(f319(f301(x69221),x69222),f180(f932(x69221,a923)))) % 219.27/219.53 [7710]E(f319(f319(f156(x77101),f319(f319(f146(x77102,x77101),x77103),x77104)),x77105),f319(x77103,f319(f319(f156(x77102),x77104),x77105)))+~P1(f319(f319(f227(a925),x77105),f319(f181(f926(x77102)),x77104))) % 219.27/219.53 [7772]E(f319(f319(f102(f932(x77721,a923)),f319(x77722,x77723)),f319(f319(f33(x77724,f932(x77721,a923)),x77725),x77722)),f319(f319(f33(x77724,f932(x77721,a923)),x77725),x77722))+~P1(f319(f319(f321(x77724),x77723),x77725)) % 219.27/219.53 [7773]E(f319(f319(f93(f932(x77731,a923)),f319(x77732,x77733)),f319(f319(f34(x77734,f932(x77731,a923)),x77735),x77732)),f319(f319(f34(x77734,f932(x77731,a923)),x77735),x77732))+~P1(f319(f319(f321(x77734),x77733),x77735)) % 219.27/219.53 [8381]~E(x83813,f180(f932(x83811,a923)))+E(f319(f319(f33(x83811,f932(x83812,a923)),x83813),f319(f319(f8(f932(x83812,a923),f932(x83812,a923),x83811),f319(f301(x83812),x83814)),x83815)),f180(f932(x83812,a923))) % 219.27/219.53 [8386]~P1(f319(f319(f321(x83864),x83863),x83865))+P1(f319(f319(f226(f932(x83861,a923)),f319(x83862,x83863)),f319(f319(f33(x83864,f932(x83861,a923)),x83865),x83862))) % 219.27/219.53 [8515]~E(f319(x85154,x85152),x85155)+P1(f319(f319(f321(x85151),x85152),f319(f303(x85151,x85153,x85154),f319(f319(f301(x85153),x85155),f180(f932(x85153,a923)))))) % 219.27/219.53 [8563]~P59(x85631,x85632,f319(f278(x85632,x85631),x85633))+E(f319(f319(f93(f932(x85631,a923)),f319(f277(x85632,x85631,x85633),x85634)),f319(f277(x85632,x85631,x85633),x85635)),f319(f277(x85632,x85631,x85633),f319(f319(f93(f932(x85632,a923)),x85634),x85635))) % 219.27/219.53 [8638]E(x86381,f2(a91))+E(f319(f110(x86382,x86383,f319(x86384,f319(f319(f23(a91),x86381),f72(a91)))),f319(f319(f7(x86382,a91,f927(x86383)),x86385),x86381)),f319(f190(x86382,x86383,x86384,x86385),x86381)) % 219.27/219.53 [8678]E(x86781,f180(f932(x86782,a923)))+E(f319(f319(f33(x86782,f932(x86783,a923)),x86781),f319(f319(f8(f932(x86783,a923),f932(x86783,a923),x86782),f319(f301(x86783),x86784)),x86785)),f319(f319(f301(x86783),x86784),f319(f319(f33(x86782,f932(x86783,a923)),x86781),x86785))) % 219.27/219.53 [8731]~P26(x87312,x87311,x87313,f234(f932(x87312,a923)))+E(f319(f319(f93(f932(x87311,a923)),f319(f302(x87312,x87311,x87313),x87314)),f319(f302(x87312,x87311,x87313),x87315)),f319(f302(x87312,x87311,x87313),f319(f319(f93(f932(x87312,a923)),x87314),x87315))) % 219.27/219.53 [8732]~P26(x87322,x87321,x87323,f234(f932(x87322,a923)))+E(f319(f319(f23(f932(x87321,a923)),f319(f302(x87322,x87321,x87323),x87324)),f319(f302(x87322,x87321,x87323),x87325)),f319(f302(x87322,x87321,x87323),f319(f319(f23(f932(x87322,a923)),x87324),x87325))) % 219.27/219.53 [8801]~P1(f319(f319(f61(x88011,x88012,x88015),x88013),x88014))+P1(f319(f319(f321(f931(x88011,x88012)),f319(f319(f244(x88011,x88012),x88013),x88014)),x88015)) % 219.27/219.53 [8833]P1(f319(f319(f321(x88331),x88332),f319(f276(x88333,x88331),x88334)))+~P1(f319(f319(f321(f931(x88333,x88331)),f319(f319(f244(x88333,x88331),x88335),x88332)),x88334)) % 219.27/219.53 [8835]P1(f319(f319(f321(x88351),x88352),f319(f256(x88351,x88353),x88354)))+~P1(f319(f319(f321(f931(x88351,x88353)),f319(f319(f244(x88351,x88353),x88352),x88355)),x88354)) % 219.27/219.53 [8982]P1(f319(f319(f61(x89821,x89822,x89823),x89824),x89825))+~P1(f319(f319(f321(f931(x89821,x89822)),f319(f319(f244(x89821,x89822),x89824),x89825)),x89823)) % 219.27/219.53 [9022]E(f319(x90221,x90222),x90223)+~P1(f319(f319(f321(x90224),x90222),f319(f303(x90224,x90225,x90221),f319(f319(f301(x90225),x90223),f180(f932(x90225,a923)))))) % 219.27/219.53 [9257]P1(f319(f319(f321(f931(x92571,x92572)),f319(f319(f244(x92571,x92572),x92573),x92574)),f319(f278(x92572,x92571),x92575)))+~P1(f319(f319(f321(f931(x92572,x92571)),f319(f319(f244(x92572,x92571),x92574),x92573)),x92575)) % 219.27/219.53 [9275]~P1(f319(f319(x92751,x92755),x92754))+P1(f319(f319(x92751,f319(f248(x92752,x92753),f319(f319(f244(x92752,x92753),x92754),x92755))),f319(f243(x92752,x92753),f319(f319(f244(x92752,x92753),x92754),x92755)))) % 219.27/219.53 [9305]~P1(f319(f319(f321(f931(x93052,x93051)),f319(f319(f244(x93052,x93051),x93054),x93053)),f319(f278(x93051,x93052),x93055)))+P1(f319(f319(f321(f931(x93051,x93052)),f319(f319(f244(x93051,x93052),x93053),x93054)),x93055)) % 219.27/219.53 [9338]~P1(f319(f319(f321(f931(x93383,x93381)),f319(f319(f244(x93383,x93381),x93385),x93382)),x93384))+P1(f319(f319(f321(x93381),x93382),f319(f277(x93383,x93381,x93384),f319(f319(f301(x93383),x93385),f180(f932(x93383,a923)))))) % 219.27/219.53 [9387]P1(f319(f319(f321(f931(x93871,x93872)),f319(f319(f244(x93871,x93872),x93873),x93874)),x93875))+~P1(f319(f319(f321(x93872),x93874),f319(f277(x93871,x93872,x93875),f319(f319(f301(x93871),x93873),f180(f932(x93871,a923)))))) % 219.27/219.53 [9477]~P79(x94771)+E(f319(f319(f6(a925,x94771),x94772),f295(a925,f319(f319(f74(a925),x94773),x94774),f319(f319(f74(a925),x94775),x94774))),f319(f319(f6(a925,x94771),f319(f319(f8(a925,x94771,a925),x94772),f319(f319(f7(a925,a925,a925),f74(a925)),x94774))),f295(a925,x94773,x94775))) % 219.27/219.53 [9497]~P79(x94971)+E(f319(f319(f6(a925,x94971),x94972),f319(f294(a925,f319(f319(f74(a925),x94973),x94974)),f319(f319(f74(a925),x94975),x94974))),f319(f319(f6(a925,x94971),f319(f319(f8(a925,x94971,a925),x94972),f319(f319(f7(a925,a925,a925),f74(a925)),x94974))),f319(f294(a925,x94973),x94975))) % 219.27/219.53 [9555]~P26(x95551,x95552,x95553,f234(f932(x95551,a923)))+E(f319(f319(f146(x95551,x95552),x95553),f319(f128(x95551,f319(f319(f8(a923,a923,x95551),a314),f319(a316,x95554))),x95555)),f319(f128(x95552,f319(f319(f8(a923,a923,x95552),a314),f319(a316,f319(x95553,x95554)))),f319(f319(f146(x95551,x95552),x95553),x95555))) % 219.27/219.53 [9573]~P26(x95731,x95732,x95733,f319(f319(f301(x95731),x95734),f319(f164(x95731),x95735)))+E(f319(f319(f146(x95731,x95732),x95733),f319(f128(x95731,f319(f319(f8(a923,a923,x95731),a314),f319(a316,x95734))),x95735)),f319(f128(x95732,f319(f319(f8(a923,a923,x95732),a314),f319(a316,f319(x95733,x95734)))),f319(f319(f146(x95731,x95732),x95733),x95735))) % 219.27/219.53 [9735]P1(f319(f319(f321(f931(f926(x97351),f926(x97351))),f319(f319(f244(f926(x97351),f926(x97351)),f319(f319(f143(x97351),x97352),x97353)),f319(f319(f143(x97351),x97354),x97353))),f149(x97351,x97355)))+~P1(f319(f319(f321(f931(x97351,x97351)),f319(f319(f244(x97351,x97351),x97352),x97354)),x97355)) % 219.27/219.53 [9858]E(f319(f319(f301(x98581),f906(x98582,x98583,x98584,x98585,x98581)),f908(x98582,x98583,x98584,x98585,x98581)),f319(f319(f301(x98581),x98584),x98583))+~P1(f319(f56(x98581,x98585,f319(f319(f301(x98581),x98584),x98583)),x98582)) % 219.27/219.53 [9859]E(f319(f319(f301(x98591),f909(x98592,x98593,x98594,x98595,x98591)),f910(x98592,x98593,x98594,x98595,x98591)),f319(f319(f301(x98591),x98594),x98593))+~P1(f319(f56(x98591,x98595,f319(f319(f301(x98591),x98594),x98593)),x98592)) % 219.27/219.53 [9944]P1(f319(f319(f321(x99441),f392(x99442,x99443,x99444,x99445,x99441)),x99444))+P1(f319(f319(f319(f34(x99441,f932(x99445,a923)),x99444),x99443),x99442)) % 219.27/219.53 [9945]P1(f319(f319(f321(x99451),f670(x99452,x99453,x99454,x99455,x99451)),x99455))+P1(f319(f319(f319(f34(x99451,f932(x99452,a923)),x99455),x99454),x99453)) % 219.27/219.53 [9950]P1(f319(f319(f321(x99501),f409(x99502,x99503,x99501,x99504,x99505)),x99503))+P1(f319(f319(f321(x99505),x99504),f319(f319(f34(x99501,f932(x99505,a923)),x99503),x99502))) % 219.27/219.53 [9951]P1(f319(f319(f321(x99511),f682(x99512,x99513,x99514,x99515,x99511)),x99515))+P1(f319(f319(f321(x99514),x99513),f319(f319(f34(x99511,f932(x99514,a923)),x99515),x99512))) % 219.27/219.53 [9961]P1(f319(f319(f321(x99611),f891(x99612,x99613,x99611,x99614,x99615)),x99613))+P1(f319(f319(f226(f932(x99615,a923)),x99614),f319(f319(f34(x99611,f932(x99615,a923)),x99613),x99612))) % 219.27/219.53 [9962]P1(f319(f319(f321(x99621),f514(x99622,x99623,x99624,x99625,x99621)),x99625))+P1(f319(f319(f226(f932(x99624,a923)),x99623),f319(f319(f34(x99621,f932(x99624,a923)),x99625),x99622))) % 219.27/219.53 [9964]P1(f319(f319(x99641,f402(x99642,x99641,x99643,x99644,x99645)),x99642))+~P1(f319(f319(f319(f33(x99645,f932(x99644,a923)),x99643),x99641),x99642)) % 219.27/219.53 [9965]P1(f319(f319(x99651,f691(x99652,x99651,x99653,x99654,x99655)),x99652))+~P1(f319(f319(f319(f33(x99655,f932(x99654,a923)),x99653),x99651),x99652)) % 219.27/219.53 [9969]P1(f319(f319(f321(x99691),f402(x99692,x99693,x99694,x99695,x99691)),x99694))+~P1(f319(f319(f319(f33(x99691,f932(x99695,a923)),x99694),x99693),x99692)) % 219.27/219.53 [9970]P1(f319(f319(f321(x99701),f691(x99702,x99703,x99704,x99705,x99701)),x99704))+~P1(f319(f319(f319(f33(x99701,f932(x99705,a923)),x99704),x99703),x99702)) % 219.27/219.53 [9971]P57(x99714,f319(f319(f34(x99711,f932(x99714,a923)),x99715),x99713),f319(f319(f34(x99711,f932(f931(x99714,x99714),a923)),x99715),x99712))+P1(f319(f319(f321(x99711),f797(x99712,x99713,x99714,x99715,x99711)),x99715)) % 219.27/219.53 [9972]P57(x99724,f319(f319(f33(x99721,f932(x99724,a923)),x99725),x99723),f319(f319(f33(x99721,f932(f931(x99724,x99724),a923)),x99725),x99722))+P1(f319(f319(f321(x99721),f842(x99722,x99723,x99724,x99725,x99721)),x99725)) % 219.27/219.53 [9983]P1(f319(f319(f321(x99831),f417(x99832,x99833,x99831,x99834,x99835)),x99833))+~P1(f319(f319(f321(x99835),x99834),f319(f319(f33(x99831,f932(x99835,a923)),x99833),x99832))) % 219.27/219.53 [9984]P1(f319(f319(f321(x99841),f704(x99842,x99843,x99841,x99844,x99845)),x99843))+~P1(f319(f319(f321(x99845),x99844),f319(f319(f33(x99841,f932(x99845,a923)),x99843),x99842))) % 219.27/219.53 [9990]P1(f319(f319(f321(x99901),x99902),f319(x99903,f417(x99903,x99904,x99905,x99902,x99901))))+~P1(f319(f319(f321(x99901),x99902),f319(f319(f33(x99905,f932(x99901,a923)),x99904),x99903))) % 219.27/219.53 [9991]P1(f319(f319(f321(x99911),x99912),f319(x99913,f704(x99913,x99914,x99915,x99912,x99911))))+~P1(f319(f319(f321(x99911),x99912),f319(f319(f33(x99915,f932(x99911,a923)),x99914),x99913))) % 219.27/219.53 [10078]~P1(f319(f319(x100784,f392(x100785,x100784,x100783,x100782,x100781)),x100785))+P1(f319(f319(f319(f34(x100781,f932(x100782,a923)),x100783),x100784),x100785)) % 219.27/219.53 [10079]~P1(f319(f319(x100794,f670(x100792,x100795,x100794,x100793,x100791)),x100795))+P1(f319(f319(f319(f34(x100791,f932(x100792,a923)),x100793),x100794),x100795)) % 219.27/219.53 [10082]~P1(f319(f319(f321(x100821),x100822),f319(x100825,f409(x100825,x100824,x100823,x100822,x100821))))+P1(f319(f319(f321(x100821),x100822),f319(f319(f34(x100823,f932(x100821,a923)),x100824),x100825))) % 219.27/219.53 [10083]~P1(f319(f319(f321(x100831),x100832),f319(x100835,f682(x100835,x100832,x100831,x100834,x100833))))+P1(f319(f319(f321(x100831),x100832),f319(f319(f34(x100833,f932(x100831,a923)),x100834),x100835))) % 219.27/219.53 [10087]~P57(x100871,f319(x100874,f842(x100875,x100874,x100871,x100873,x100872)),f319(x100875,f842(x100875,x100874,x100871,x100873,x100872)))+P57(x100871,f319(f319(f33(x100872,f932(x100871,a923)),x100873),x100874),f319(f319(f33(x100872,f932(f931(x100871,x100871),a923)),x100873),x100875)) % 219.27/219.53 [10088]~P57(x100881,f319(x100884,f797(x100885,x100884,x100881,x100883,x100882)),f319(x100885,f797(x100885,x100884,x100881,x100883,x100882)))+P57(x100881,f319(f319(f34(x100882,f932(x100881,a923)),x100883),x100884),f319(f319(f34(x100882,f932(f931(x100881,x100881),a923)),x100883),x100885)) % 219.27/219.53 [10089]~P1(f319(f319(f226(f932(x100891,a923)),x100892),f319(x100895,f891(x100895,x100894,x100893,x100892,x100891))))+P1(f319(f319(f226(f932(x100891,a923)),x100892),f319(f319(f34(x100893,f932(x100891,a923)),x100894),x100895))) % 219.27/219.53 [10090]~P1(f319(f319(f226(f932(x100901,a923)),x100902),f319(x100905,f514(x100905,x100902,x100901,x100904,x100903))))+P1(f319(f319(f226(f932(x100901,a923)),x100902),f319(f319(f34(x100903,f932(x100901,a923)),x100904),x100905))) % 219.27/219.53 [10155]~P1(f319(f319(f321(x101551),f906(x101555,x101554,x101553,x101552,x101551)),f908(x101555,x101554,x101553,x101552,x101551)))+~P1(f319(f56(x101551,x101552,f319(f319(f301(x101551),x101553),x101554)),x101555)) % 219.27/219.53 [10156]~P1(f319(f319(f321(x101561),f909(x101565,x101564,x101563,x101562,x101561)),f910(x101565,x101564,x101563,x101562,x101561)))+~P1(f319(f56(x101561,x101562,f319(f319(f301(x101561),x101563),x101564)),x101565)) % 219.27/219.53 [10157]~P1(f319(f319(f321(f931(x101571,x101571)),f319(f319(f244(x101571,x101571),x101572),x101575)),f319(f319(f175(f931(x101571,x101571),a923),f319(a104,x101574)),x101573)))+P1(f319(f319(f321(f931(x101571,x101571)),f319(f319(f244(x101571,x101571),x101572),f646(x101573,x101574,x101575,x101572,x101571))),f319(f319(f175(f931(x101571,x101571),a923),x101574),x101573))) % 219.27/219.53 [10163]P1(f319(f60(x101631,x101631,x101632,f906(x101633,x101634,x101635,x101632,x101631),f908(x101633,x101634,x101635,x101632,x101631)),x101633))+~P1(f319(f56(x101631,x101632,f319(f319(f301(x101631),x101635),x101634)),x101633)) % 219.27/219.53 [10164]P1(f319(f60(x101641,x101641,x101642,f909(x101643,x101644,x101645,x101642,x101641),f910(x101643,x101644,x101645,x101642,x101641)),x101643))+~P1(f319(f56(x101641,x101642,f319(f319(f301(x101641),x101645),x101644)),x101643)) % 219.27/219.53 [10174]~P4(x101741)+P14(x101741,f319(f319(f146(x101742,x101741),x101743),f319(f128(x101742,f319(f319(f7(x101742,x101741,a923),f319(f319(f8(x101741,f932(x101741,a923),x101742),a316),x101743)),f319(x101744,x101745))),x101745))) % 219.27/219.53 [10227]~P1(f319(f319(f321(x102272),x102275),f319(f277(x102271,x102272,x102274),x102273)))+P1(f319(f319(f321(f931(x102271,x102272)),f319(f319(f244(x102271,x102272),f530(x102273,x102274,x102271,x102275,x102272)),x102275)),x102274)) % 219.27/219.53 [10228]~P1(f319(f319(f321(x102282),x102285),f319(f277(x102281,x102282,x102284),x102283)))+P1(f319(f319(f321(f931(x102281,x102282)),f319(f319(f244(x102281,x102282),f556(x102283,x102284,x102281,x102285,x102282)),x102285)),x102284)) % 219.27/219.53 [10248]~P1(f319(f319(f321(f931(x102481,x102481)),f319(f319(f244(x102481,x102481),x102485),x102484)),f319(f319(f175(f931(x102481,x102481),a923),f319(a104,x102483)),x102482)))+P1(f319(f319(f321(f931(x102481,x102481)),f319(f319(f244(x102481,x102481),f646(x102482,x102483,x102484,x102485,x102481)),x102484)),x102482)) % 219.27/219.53 [10251]~P1(f319(f319(f321(f931(x102511,x102511)),f319(f319(f244(x102511,x102511),x102515),x102514)),f319(f319(f175(f931(x102511,x102511),a923),f319(a104,x102513)),x102512)))+P1(f319(f319(f321(f931(x102511,x102511)),f319(f319(f244(x102511,x102511),f645(x102512,x102513,x102514,x102515,x102511)),x102514)),f319(f319(f175(f931(x102511,x102511),a923),x102513),x102512))) % 219.27/219.53 [10252]~P1(f319(f319(f321(f931(x102521,x102521)),f319(f319(f244(x102521,x102521),x102525),x102524)),f319(f319(f175(f931(x102521,x102521),a923),f319(a104,x102523)),x102522)))+P1(f319(f319(f321(f931(x102521,x102521)),f319(f319(f244(x102521,x102521),f647(x102522,x102523,x102524,x102525,x102521)),x102524)),f319(f319(f175(f931(x102521,x102521),a923),x102523),x102522))) % 219.27/219.53 [10253]~P1(f319(f319(f321(f931(f926(x102531),f926(x102531))),f319(f319(f244(f926(x102531),f926(x102531)),x102535),f319(f319(f143(x102531),x102534),x102533))),f150(x102531,x102532)))+P1(f319(f319(f321(f931(x102531,x102531)),f319(f319(f244(x102531,x102531),f672(x102532,x102533,x102534,x102535,x102531)),x102534)),x102532)) % 219.27/219.53 [7793]~E(x77933,f180(f932(x77932,a923)))+E(f319(f319(f102(f932(x77931,a923)),f319(f319(f33(x77932,f932(x77931,a923)),x77933),x77934)),x77935),x77935) % 219.27/219.53 [7794]~E(x77943,f180(f932(x77942,a923)))+E(f319(f319(f93(f932(x77941,a923)),f319(f319(f34(x77942,f932(x77941,a923)),x77943),x77944)),x77945),x77945) % 219.27/219.53 [8223]~E(x82233,f180(f932(x82232,a923)))+E(f319(f319(f23(f932(x82231,a923)),f319(f319(f34(x82232,f932(x82231,a923)),x82233),x82234)),x82235),f319(f319(f23(f932(x82231,a923)),f234(f932(x82231,a923))),x82235)) % 219.27/219.53 [8354]E(f319(f319(f151(x83541,f319(f319(f126(x83541),x83542),x83543)),x83544),x83545),f319(f319(f126(x83541),f319(f319(f151(x83541,x83542),x83544),x83545)),x83543))+~P1(f319(f319(f227(a925),x83544),f319(f181(f926(x83541)),x83542))) % 219.27/219.53 [8628]E(f319(f319(f156(x86281),f319(f319(f146(a925,x86281),x86282),f131(a925,f319(f294(a925,x86283),x86284)))),x86285),f319(x86282,f319(f319(f74(a925),x86283),x86285)))+~P1(f319(f319(f227(a925),x86285),f319(f319(f23(a925),x86284),x86283))) % 219.27/219.53 [8642]E(x86421,f2(a91))+E(f114(x86422,x86423,f319(x86424,f319(f319(f23(a91),x86421),f72(a91))),f319(f319(f7(x86422,a91,f927(f929(x86423))),x86425),x86421)),f319(f188(x86422,x86423,x86424,x86425),x86421)) % 219.27/219.53 [8668]~E(x86683,f180(f932(x86681,a923)))+E(f319(f319(f33(x86681,f932(x86682,a923)),x86683),f319(f319(f8(f932(x86682,a923),f932(x86682,a923),x86681),f319(f102(f932(x86682,a923)),x86684)),x86685)),f180(f932(x86682,a923))) % 219.27/219.53 [8669]~E(x86693,f180(f932(x86691,a923)))+E(f319(f319(f34(x86691,f932(x86692,a923)),x86693),f319(f319(f8(f932(x86692,a923),f932(x86692,a923),x86691),f319(f93(f932(x86692,a923)),x86694)),x86695)),f234(f932(x86692,a923))) % 219.27/219.53 [8670]~E(x86703,f180(f932(x86701,a923)))+E(f319(f319(f34(x86701,f932(x86702,a923)),x86703),f319(f319(f8(f932(x86702,a923),f932(x86702,a923),x86701),f319(f23(f932(x86702,a923)),x86704)),x86705)),f234(f932(x86702,a923))) % 219.27/219.53 [8672]~P143(x86722)+E(f319(f319(f6(x86721,x86722),f319(f319(f8(x86722,x86722,x86721),f319(f75(x86722),x86723)),x86724)),x86725),f319(f319(f75(x86722),x86723),f319(f319(f6(x86721,x86722),x86724),x86725))) % 219.27/219.53 [8966]E(x89661,f180(f932(x89662,a923)))+E(f319(f319(f33(x89662,f932(x89663,a923)),x89661),f319(f319(f8(f932(x89663,a923),f932(x89663,a923),x89662),f319(f102(f932(x89663,a923)),x89664)),x89665)),f319(f319(f102(f932(x89663,a923)),x89664),f319(f319(f33(x89662,f932(x89663,a923)),x89661),x89665))) % 219.27/219.53 [8967]E(x89671,f180(f932(x89672,a923)))+E(f319(f319(f34(x89672,f932(x89673,a923)),x89671),f319(f319(f8(f932(x89673,a923),f932(x89673,a923),x89672),f319(f93(f932(x89673,a923)),x89674)),x89675)),f319(f319(f93(f932(x89673,a923)),x89674),f319(f319(f34(x89672,f932(x89673,a923)),x89671),x89675))) % 219.27/219.53 [8968]E(x89681,f180(f932(x89682,a923)))+E(f319(f319(f34(x89682,f932(x89683,a923)),x89681),f319(f319(f8(f932(x89683,a923),f932(x89683,a923),x89682),f319(f23(f932(x89683,a923)),x89684)),x89685)),f319(f319(f23(f932(x89683,a923)),x89684),f319(f319(f33(x89682,f932(x89683,a923)),x89681),x89685))) % 219.27/219.53 [9173]~P1(f319(f319(f227(a925),f319(x91734,x91732)),f319(x91734,x91733)))+P1(f319(f319(f321(f931(x91731,x91731)),f319(f319(f244(x91731,x91731),x91732),x91733)),f145(x91731,f319(f319(f143(f932(x91731,a925)),x91734),x91735)))) % 219.27/219.53 [9424]~P41(f932(x94245,a923),f932(x94241,a923),x94242)+P1(f319(f319(f226(f932(x94241,a923)),f319(f319(f102(f932(x94241,a923)),f319(x94242,x94243)),f319(x94242,x94244))),f319(x94242,f319(f319(f102(f932(x94245,a923)),x94243),x94244)))) % 219.27/219.53 [9443]~P26(x94432,x94431,x94433,f319(f319(f102(f932(x94432,a923)),x94434),x94435))+E(f319(f319(f93(f932(x94431,a923)),f319(f302(x94432,x94431,x94433),f319(f319(f23(f932(x94432,a923)),x94434),x94435))),f319(f302(x94432,x94431,x94433),f319(f319(f23(f932(x94432,a923)),x94435),x94434))),f180(f932(x94431,a923))) % 219.27/219.53 [9701]~P26(x97013,x97011,x97015,f234(f932(x97013,a923)))+E(f319(f66(x97011,x97012,x97013,f319(f66(x97013,x97012,x97011,x97014),f85(x97013,x97011,f234(f932(x97013,a923)),x97015))),x97015),x97014) % 219.27/219.53 [9731]~P1(f319(f319(f226(f932(x97313,a923)),f319(f277(x97311,x97313,x97314),x97312)),x97315))+P1(f319(f319(f226(f932(x97311,a923)),x97312),f319(f73(f932(x97311,a923)),f319(f277(x97313,x97311,f319(f278(x97311,x97313),x97314)),f319(f73(f932(x97313,a923)),x97315))))) % 219.27/219.53 [9756]~P26(x97561,x97562,x97563,f319(f319(f301(x97561),x97564),x97565))+~P1(f319(f319(f321(x97562),f319(x97563,x97564)),f319(f302(x97561,x97562,x97563),f319(f319(f23(f932(x97561,a923)),x97565),f319(f319(f301(x97561),x97564),f180(f932(x97561,a923))))))) % 219.27/219.53 [9811]P1(f319(f319(f226(f932(x98111,a923)),f319(f277(x98112,x98111,x98113),x98114)),x98115))+~P1(f319(f319(f226(f932(x98112,a923)),x98114),f319(f73(f932(x98112,a923)),f319(f277(x98111,x98112,f319(f278(x98112,x98111),x98113)),f319(f73(f932(x98111,a923)),x98115))))) % 219.27/219.53 [9885]~P92(x98851)+P1(f319(f319(f226(x98851),f319(f69(x98851),f319(f319(f23(x98851),f319(f319(f74(x98851),x98852),x98853)),f319(f319(f74(x98851),x98854),x98855)))),f319(f319(f74(x98851),f319(f69(x98851),f319(f319(f23(x98851),x98852),x98854))),f319(f69(x98851),f319(f319(f23(x98851),x98853),x98855))))) % 219.27/219.53 [10006]P1(f319(f319(f321(x100061),f900(x100062,x100063,x100064,x100061,x100065)),x100064))+P1(f319(f319(f226(f932(x100065,a923)),f319(f319(f33(x100061,f932(x100065,a923)),x100064),x100063)),x100062)) % 219.27/219.53 [10007]P1(f319(f319(f321(x100071),f537(x100072,x100073,x100074,x100075,x100071)),x100075))+P1(f319(f319(f226(f932(x100074,a923)),f319(f319(f33(x100071,f932(x100074,a923)),x100075),x100073)),x100072)) % 219.27/219.53 [10194]~P1(f319(f319(f226(f932(x101941,a923)),f319(x101944,f900(x101945,x101944,x101943,x101942,x101941))),x101945))+P1(f319(f319(f226(f932(x101941,a923)),f319(f319(f33(x101942,f932(x101941,a923)),x101943),x101944)),x101945)) % 219.27/219.53 [10195]~P1(f319(f319(f226(f932(x101951,a923)),f319(x101954,f537(x101955,x101954,x101951,x101953,x101952))),x101955))+P1(f319(f319(f226(f932(x101951,a923)),f319(f319(f33(x101952,f932(x101951,a923)),x101953),x101954)),x101955)) % 219.27/219.53 [8779]E(f319(f319(f126(x87791),x87792),f319(f319(f151(x87791,x87793),f319(f319(f23(a925),x87794),f319(f181(f926(x87791)),x87792))),x87795)),f319(f319(f151(x87791,f319(f319(f126(x87791),x87792),x87793)),x87794),x87795))+P1(f319(f319(f227(a925),x87794),f319(f181(f926(x87791)),x87792))) % 219.27/219.53 [8808]~P146(x88081)+E(f319(f319(f74(x88081),f319(f319(f75(x88081),x88082),x88083)),f319(f319(f74(x88081),f319(f319(f75(x88081),x88084),x88083)),x88085)),f319(f319(f74(x88081),f319(f319(f75(x88081),f319(f319(f74(x88081),x88082),x88084)),x88083)),x88085)) % 219.27/219.53 [9396]~P143(x93961)+E(f319(f157(x93961),f319(f319(f146(x93962,x93961),f319(f319(f8(x93961,x93961,x93962),f319(f75(x93961),x93963)),x93964)),x93965)),f319(f319(f75(x93961),x93963),f319(f157(x93961),f319(f319(f146(x93962,x93961),x93964),x93965)))) % 219.27/219.53 [9572]E(f319(f181(f926(x95721)),f319(f319(f167(x95721),f319(f319(f224(a925),f319(f181(f926(x95721)),x95722)),f319(f181(f926(x95723)),x95724))),x95722)),f319(f181(f926(x95723)),f319(f319(f167(x95723),f319(f319(f224(a925),f319(f181(f926(x95721)),x95722)),f319(f181(f926(x95723)),x95724))),x95724)))+P1(f319(x95725,f319(f319(f173(x95721,x95723),x95722),x95724))) % 219.27/219.53 [9821]~P143(x98212)+E(f319(f319(f6(x98211,x98212),f319(f319(f7(x98211,x98212,x98212),f319(f319(f8(x98212,f932(x98212,x98212),x98211),f75(x98212)),x98213)),x98214)),x98215),f319(f319(f75(x98212),f319(f319(f6(x98211,x98212),x98213),x98215)),x98214)) % 219.27/219.53 [9822]~P73(x98222)+E(f319(f319(f6(x98221,x98222),f319(f319(f7(x98221,x98222,x98222),f319(f319(f8(x98222,f932(x98222,x98222),x98221),f283(x98222)),x98223)),x98224)),x98225),f319(f319(f283(x98222),f319(f319(f6(x98221,x98222),x98223),x98225)),x98224)) % 219.27/219.53 [9829]~P70(x98292)+E(f319(f319(f6(x98291,x98292),f319(f319(f18(x98291,x98292,x98292),f319(f319(f8(x98292,f932(x98292,x98292),x98291),f23(x98292)),x98293)),x98294)),x98295),f319(f319(f23(x98292),f319(f319(f6(x98291,x98292),x98293),x98295)),f319(f319(f6(x98291,x98292),x98294),x98295))) % 219.27/219.53 [9830]~P79(x98302)+E(f319(f319(f6(x98301,x98302),f319(f319(f18(x98301,x98302,x98302),f319(f319(f8(x98302,f932(x98302,x98302),x98301),f74(x98302)),x98303)),x98304)),x98305),f319(f319(f74(x98302),f319(f319(f6(x98301,x98302),x98303),x98305)),f319(f319(f6(x98301,x98302),x98304),x98305))) % 219.27/219.53 [9831]~P78(x98312)+E(f319(f319(f9(x98311,x98312),f319(f319(f18(x98311,x98312,x98312),f319(f319(f8(x98312,f932(x98312,x98312),x98311),f75(x98312)),x98313)),x98314)),x98315),f319(f319(f75(x98312),f319(f319(f9(x98311,x98312),x98313),x98315)),f319(f319(f9(x98311,x98312),x98314),x98315))) % 219.27/219.53 [9870]~E(x98703,f180(f932(x98701,a923)))+E(f319(f319(f33(x98701,f932(x98702,a923)),x98703),f319(f319(f7(x98701,f932(x98702,a923),f932(x98702,a923)),f319(f319(f8(f932(x98702,a923),f932(f932(x98702,a923),f932(x98702,a923)),x98701),f102(f932(x98702,a923))),x98704)),x98705)),f180(f932(x98702,a923))) % 219.27/219.53 [9871]~E(x98713,f180(f932(x98711,a923)))+E(f319(f319(f34(x98711,f932(x98712,a923)),x98713),f319(f319(f7(x98711,f932(x98712,a923),f932(x98712,a923)),f319(f319(f8(f932(x98712,a923),f932(f932(x98712,a923),f932(x98712,a923)),x98711),f93(f932(x98712,a923))),x98714)),x98715)),f234(f932(x98712,a923))) % 219.27/219.53 [9872]~E(x98723,f180(f932(x98721,a923)))+E(f319(f319(f34(x98721,f932(x98722,a923)),x98723),f319(f319(f7(x98721,f932(x98722,a923),f932(x98722,a923)),f319(f319(f8(f932(x98722,a923),f932(f932(x98722,a923),f932(x98722,a923)),x98721),f23(f932(x98722,a923))),x98724)),x98725)),f234(f932(x98722,a923))) % 219.27/219.53 [9893]E(x98931,f180(f932(x98932,a923)))+E(f319(f319(f33(x98932,f932(x98933,a923)),x98931),f319(f319(f7(x98932,f932(x98933,a923),f932(x98933,a923)),f319(f319(f8(f932(x98933,a923),f932(f932(x98933,a923),f932(x98933,a923)),x98932),f102(f932(x98933,a923))),x98934)),x98935)),f319(f319(f102(f932(x98933,a923)),f319(f319(f33(x98932,f932(x98933,a923)),x98931),x98934)),x98935)) % 219.27/219.53 [9894]E(x98941,f180(f932(x98942,a923)))+E(f319(f319(f34(x98942,f932(x98943,a923)),x98941),f319(f319(f7(x98942,f932(x98943,a923),f932(x98943,a923)),f319(f319(f8(f932(x98943,a923),f932(f932(x98943,a923),f932(x98943,a923)),x98942),f93(f932(x98943,a923))),x98944)),x98945)),f319(f319(f93(f932(x98943,a923)),f319(f319(f34(x98942,f932(x98943,a923)),x98941),x98944)),x98945)) % 219.27/219.53 [9895]E(x98951,f180(f932(x98952,a923)))+E(f319(f319(f34(x98952,f932(x98953,a923)),x98951),f319(f319(f7(x98952,f932(x98953,a923),f932(x98953,a923)),f319(f319(f8(f932(x98953,a923),f932(f932(x98953,a923),f932(x98953,a923)),x98952),f23(f932(x98953,a923))),x98954)),x98955)),f319(f319(f23(f932(x98953,a923)),f319(f319(f34(x98952,f932(x98953,a923)),x98951),x98954)),x98955)) % 219.27/219.53 [9448]~P1(f319(f319(f226(a925),x94481),x94484))+E(f319(f319(f23(a925),f319(f319(f74(a925),f319(f319(f75(a925),x94481),x94482)),x94483)),f319(f319(f74(a925),f319(f319(f75(a925),x94484),x94482)),x94485)),f319(f319(f23(a925),x94483),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x94484),x94481)),x94482)),x94485))) % 219.27/219.53 [10060]~P143(x100601)+E(f319(f157(x100601),f319(f319(f146(x100602,x100601),f319(f319(f7(x100602,x100601,x100601),f319(f319(f8(x100601,f932(x100601,x100601),x100602),f75(x100601)),x100603)),x100604)),x100605)),f319(f319(f75(x100601),f319(f157(x100601),f319(f319(f146(x100602,x100601),x100603),x100605))),x100604)) % 219.27/219.53 [10066]~P70(x100661)+E(f319(f157(x100661),f319(f319(f146(x100662,x100661),f319(f319(f18(x100662,x100661,x100661),f319(f319(f8(x100661,f932(x100661,x100661),x100662),f23(x100661)),x100663)),x100664)),x100665)),f319(f319(f23(x100661),f319(f157(x100661),f319(f319(f146(x100662,x100661),x100663),x100665))),f319(f157(x100661),f319(f319(f146(x100662,x100661),x100664),x100665)))) % 219.27/219.53 [10067]~P79(x100671)+E(f319(f157(x100671),f319(f319(f146(x100672,x100671),f319(f319(f18(x100672,x100671,x100671),f319(f319(f8(x100671,f932(x100671,x100671),x100672),f74(x100671)),x100673)),x100674)),x100675)),f319(f319(f74(x100671),f319(f157(x100671),f319(f319(f146(x100672,x100671),x100673),x100675))),f319(f157(x100671),f319(f319(f146(x100672,x100671),x100674),x100675)))) % 219.27/219.53 [10218]P1(f319(x102181,f319(f319(f173(x102182,x102183),x102184),x102185)))+~P1(f319(x102181,f319(f319(f173(x102182,x102183),f319(f319(f167(x102182),f319(f319(f224(a925),f319(f181(f926(x102182)),x102184)),f319(f181(f926(x102183)),x102185))),x102184)),f319(f319(f167(x102183),f319(f319(f224(a925),f319(f181(f926(x102182)),x102184)),f319(f181(f926(x102183)),x102185))),x102185)))) % 219.27/219.53 [10480]~P1(f319(f319(f321(f931(x104802,x104801)),f319(f319(f244(x104802,x104801),x104804),x104805)),f319(f278(x104801,x104802),x104803)))+P1(f319(f319(f235(x104801,x104802,f319(f319(f7(x104801,f932(f931(x104801,x104802),a923),f932(x104802,a923)),f319(f319(f8(f932(x104802,f932(f932(f931(x104801,x104802),a923),a923)),f932(f932(f931(x104801,x104802),a923),f932(x104802,a923)),x104801),f7(x104802,f932(f931(x104801,x104802),a923),a923)),f319(f319(f8(f932(x104802,f931(x104801,x104802)),f932(x104802,f932(f932(f931(x104801,x104802),a923),a923)),x104801),f319(f8(f931(x104801,x104802),f932(f932(f931(x104801,x104802),a923),a923),x104802),f321(f931(x104801,x104802)))),f244(x104801,x104802)))),x104803)),x104804),x104805)) % 219.27/219.53 [10492]P1(f319(f319(f321(f931(x104921,x104922)),f319(f319(f244(x104921,x104922),x104923),x104924)),f319(f278(x104922,x104921),x104925)))+~P1(f319(f319(f235(x104922,x104921,f319(f319(f7(x104922,f932(f931(x104922,x104921),a923),f932(x104921,a923)),f319(f319(f8(f932(x104921,f932(f932(f931(x104922,x104921),a923),a923)),f932(f932(f931(x104922,x104921),a923),f932(x104921,a923)),x104922),f7(x104921,f932(f931(x104922,x104921),a923),a923)),f319(f319(f8(f932(x104921,f931(x104922,x104921)),f932(x104921,f932(f932(f931(x104922,x104921),a923),a923)),x104922),f319(f8(f931(x104922,x104921),f932(f932(f931(x104922,x104921),a923),a923),x104921),f321(f931(x104922,x104921)))),f244(x104922,x104921)))),x104925)),x104923),x104924)) % 219.27/219.53 [9700]~P1(f319(f319(f226(a925),x97004),x97001))+E(f319(f319(f23(a925),f319(f319(f74(a925),f319(f319(f75(a925),x97001),x97002)),x97003)),f319(f319(f74(a925),f319(f319(f75(a925),x97004),x97002)),x97005)),f319(f319(f23(a925),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x97001),x97004)),x97002)),x97003)),x97005)) % 219.27/219.53 [7493]E(x74931,x74932)+~E(f212(x74933,x74934,x74935,x74931),f212(x74933,x74934,x74936,x74932)) % 219.27/219.53 [7494]E(x74941,x74942)+~E(f212(x74943,x74944,x74941,x74945),f212(x74943,x74944,x74942,x74946)) % 219.27/219.53 [8612]~P20(x86125,x86121,x86122,x86126)+E(f319(f66(x86121,x86121,x86121,f319(x86122,x86123)),f319(x86122,x86124)),f319(f66(x86121,x86121,x86121,f319(x86122,x86124)),f319(x86122,x86123))) % 219.27/219.53 [8852]~P61(x88524,x88525,x88522,x88521,x88526)+E(f319(x88521,f319(x88522,x88523)),x88523) % 219.27/219.53 [9020]P26(x90201,x90202,x90203,x90204)+~P26(x90201,x90205,f319(f66(x90202,x90205,x90201,x90206),x90203),x90204) % 219.27/219.53 [9093]~E(x90936,x90934)+E(f319(f68(x90931,x90932,x90933,x90934,x90935),x90936),x90935) % 219.27/219.53 [9100]E(x91001,x91002)+E(f319(f68(x91003,x91004,x91005,x91002,x91006),x91001),f319(x91005,x91001)) % 219.27/219.53 [9112]~P26(x91124,x91122,f319(f66(x91121,x91122,x91124,x91123),x91125),x91126)+P26(x91121,x91122,x91123,f319(f302(x91124,x91121,x91125),x91126)) % 219.27/219.53 [9771]P53(x97711,x97712,x97713,x97714,x97715,x97716)+~P1(f319(f319(x97713,f319(x97714,x97715)),f319(x97714,x97716))) % 219.27/219.53 [9832]P1(f319(f55(x98321),x98322))+~P1(f319(f60(x98321,x98323,x98324,x98325,x98322),x98326)) % 219.27/219.53 [9841]~P1(f319(f319(f321(x98414),x98413),f292(x98414,x98415,x98411,x98412,x98416)))+P1(f319(f319(x98411,x98412),x98413)) % 219.27/219.53 [9842]~P1(f319(f319(f321(x98424),x98423),f289(x98424,x98421,x98425,x98422,x98426)))+P1(f319(f319(x98421,x98422),x98423)) % 219.27/219.53 [9843]~P1(f319(f319(f321(x98434),x98432),f292(x98434,x98431,x98435,x98436,x98433)))+P1(f319(f319(x98431,x98432),x98433)) % 219.27/219.53 [9844]~P1(f319(f319(f321(x98444),x98442),f289(x98444,x98445,x98441,x98446,x98443)))+P1(f319(f319(x98441,x98442),x98443)) % 219.27/219.53 [9907]~P53(x99075,x99076,x99071,x99072,x99073,x99074)+P1(f319(f319(x99071,f319(x99072,x99073)),f319(x99072,x99074))) % 219.27/219.53 [10371]P13(x103711,x103712,x103713,x103714,x103715,x103716)+~E(f319(f319(x103716,f860(x103713,x103716,x103715,x103712,x103714,x103711)),f864(x103713,x103716,x103715,x103712,x103714,x103711)),f319(f319(x103716,f861(x103713,x103716,x103715,x103712,x103714,x103711)),f865(x103713,x103716,x103715,x103712,x103714,x103711))) % 219.27/219.53 [5977]E(x59771,x59772)+~E(f319(f319(f244(x59773,x59774),x59775),x59771),f319(f319(f244(x59773,x59774),x59776),x59772)) % 219.27/219.53 [5979]E(x59791,x59792)+~E(f319(f319(f244(x59793,x59794),x59791),x59795),f319(f319(f244(x59793,x59794),x59792),x59796)) % 219.27/219.53 [6117]~P17(x61175,x61176,x61171)+E(f319(f319(x61171,x61172),f319(f319(x61171,x61173),x61174)),f319(f319(x61171,x61173),f319(f319(x61171,x61172),x61174))) % 219.27/219.53 [7557]~P33(x75574,x75571,f319(f319(f143(x75574),x75572),x75575),f319(f319(f143(x75574),x75573),x75576))+P1(f319(f319(x75571,x75572),x75573)) % 219.27/219.53 [7910]P33(x79101,x79102,x79103,x79104)+~P33(x79101,x79102,f319(f319(f143(x79101),x79105),x79103),f319(f319(f143(x79101),x79106),x79104)) % 219.27/219.53 [8956]~P61(x89565,x89561,x89562,x89566,x89564)+P1(f319(f319(f321(x89561),f319(x89562,x89563)),x89564)) % 219.27/219.53 [9140]E(f319(f70(x91401,x91402,x91403,x91404,x91405),x91406),f319(x91403,x91406))+P1(f319(f319(f321(x91401),x91406),x91405)) % 219.27/219.53 [9162]~E(x91623,f319(f319(f143(x91621),x91625),x91626))+P1(f319(f319(f321(f931(f926(x91621),f926(x91621))),f319(f319(f244(f926(x91621),f926(x91621)),x91622),f319(f319(f126(x91621),x91622),x91623))),f139(x91621,x91624))) % 219.27/219.53 [9167]E(f319(f70(x91671,x91672,x91673,x91674,x91675),x91676),f319(x91674,x91676))+~P1(f319(f319(f321(x91671),x91676),x91675)) % 219.27/219.53 [9402]~P35(x94021,x94022,x94023,x94025,x94026)+P35(x94021,x94022,x94023,f319(f319(f167(x94021),x94024),x94025),f319(f319(f167(x94022),x94024),x94026)) % 219.27/219.53 [9403]~P35(x94031,x94032,x94033,x94035,x94036)+P35(x94031,x94032,x94033,f319(f319(f130(x94031),x94034),x94035),f319(f319(f130(x94032),x94034),x94036)) % 219.27/219.53 [9666]E(f319(f302(x96661,x96662,f68(x96661,x96662,x96663,x96664,x96665)),x96666),f319(f302(x96661,x96662,x96663),x96666))+P1(f319(f319(f321(x96661),x96664),x96666)) % 219.27/219.53 [9669]E(f319(f319(f146(x96691,x96692),f68(x96691,x96692,x96693,x96694,x96695)),x96696),f319(f319(f146(x96691,x96692),x96693),x96696))+P1(f319(f319(f321(x96691),x96694),f319(f164(x96691),x96696))) % 219.27/219.53 [9905]~P24(x99054,x99052,x99055,x99053,x99056,x99051)+E(f319(x99051,f180(f932(x99052,a923))),x99053) % 219.27/219.53 [10158]~E(f319(x101584,f319(f243(x101581,x101583),x101585)),f319(x101586,f319(f243(x101581,x101583),x101585)))+E(f319(f250(x101581,x101582,x101583,x101583,x101584,f25(x101583)),x101585),f319(f250(x101581,x101582,x101583,x101583,x101586,f25(x101583)),x101585)) % 219.27/219.53 [10159]~E(f319(x101594,f319(f248(x101591,x101592),x101595)),f319(x101596,f319(f248(x101591,x101592),x101595)))+E(f319(f250(x101591,x101591,x101592,x101593,f25(x101591),x101594),x101595),f319(f250(x101591,x101591,x101592,x101593,f25(x101591),x101596),x101595)) % 219.27/219.53 [10213]~E(f319(f250(x102132,x102136,x102133,x102133,x102131,f25(x102133)),x102134),f319(f250(x102132,x102136,x102133,x102133,x102135,f25(x102133)),x102134))+E(f319(x102131,f319(f243(x102132,x102133),x102134)),f319(x102135,f319(f243(x102132,x102133),x102134))) % 219.27/219.53 [10214]~E(f319(f250(x102142,x102142,x102143,x102146,f25(x102142),x102141),x102144),f319(f250(x102142,x102142,x102143,x102146,f25(x102142),x102145),x102144))+E(f319(x102141,f319(f248(x102142,x102143),x102144)),f319(x102145,f319(f248(x102142,x102143),x102144))) % 219.27/219.53 [9060]P1(f319(f319(f321(x90601),x90602),x90603))+~P1(f319(f319(f321(f931(x90601,x90604)),f319(f319(f244(x90601,x90604),x90602),x90605)),f319(f319(f246(x90601,x90604),x90603),x90606))) % 219.27/219.53 [9076]P1(f319(f319(f321(x90761),x90762),f319(x90763,x90764)))+~P1(f319(f319(f321(f931(x90765,x90761)),f319(f319(f244(x90765,x90761),x90764),x90762)),f319(f319(f246(x90765,x90761),x90766),x90763))) % 219.27/219.53 [9521]P1(f319(f319(f321(f931(x95211,x95211)),f319(f319(f244(x95211,x95211),f319(x95212,x95213)),f319(x95212,x95214))),x95215))+~P1(f319(f319(f321(f931(x95216,x95216)),f319(f319(f244(x95216,x95216),x95213),x95214)),f319(f319(f280(x95211,x95216),x95215),x95212))) % 219.27/219.53 [9541]~P1(f319(f319(f321(f931(x95414,x95414)),f319(f319(f244(x95414,x95414),f319(x95416,x95412)),f319(x95416,x95413))),x95415))+P1(f319(f319(f321(f931(x95411,x95411)),f319(f319(f244(x95411,x95411),x95412),x95413)),f319(f319(f280(x95414,x95411),x95415),x95416))) % 219.27/219.53 [10217]E(f319(f319(f244(x102171,x102172),f666(x102173,x102174,x102175,x102176,x102172,x102171)),f667(x102173,x102174,x102175,x102176,x102172,x102171)),x102176)+~P1(f319(f319(f321(f931(x102171,x102172)),x102176),f319(f319(f281(x102171,x102175,x102172),x102174),x102173))) % 219.27/219.53 [10222]~E(f319(x102223,f907(x102224,x102222,x102226,x102223,x102225,x102221)),f319(x102226,f907(x102224,x102222,x102226,x102223,x102225,x102221)))+E(f319(f319(f93(f932(x102221,a923)),f319(f303(x102221,x102222,x102223),x102224)),x102225),f319(f319(f93(f932(x102221,a923)),f319(f303(x102221,x102222,x102226),x102224)),x102225)) % 219.27/219.53 [10284]E(f319(f319(f93(f932(x102841,a923)),f319(f303(x102841,x102842,x102843),x102844)),x102845),f319(f319(f93(f932(x102841,a923)),f319(f303(x102841,x102842,x102846),x102844)),x102845))+P1(f319(f319(f321(x102841),f907(x102844,x102842,x102843,x102846,x102845,x102841)),x102845)) % 219.27/219.53 [10437]~P1(f319(f319(f321(f931(x104371,x104376)),x104375),f319(f319(f281(x104371,x104372,x104376),x104374),x104373)))+P1(f319(f319(f321(f931(x104371,x104372)),f319(f319(f244(x104371,x104372),f666(x104373,x104374,x104372,x104375,x104376,x104371)),f668(x104373,x104374,x104372,x104375,x104376,x104371))),x104374)) % 219.27/219.53 [10438]~P1(f319(f319(f321(f931(x104386,x104382)),x104385),f319(f319(f281(x104386,x104381,x104382),x104384),x104383)))+P1(f319(f319(f321(f931(x104381,x104382)),f319(f319(f244(x104381,x104382),f668(x104383,x104384,x104381,x104385,x104382,x104386)),f667(x104383,x104384,x104381,x104385,x104382,x104386))),x104383)) % 219.27/219.53 [10439]P13(x104391,x104392,x104393,x104394,x104395,x104396)+P1(f319(f319(f321(f931(x104392,x104392)),f319(f319(f244(x104392,x104392),f865(x104393,x104396,x104395,x104392,x104394,x104391)),f864(x104393,x104396,x104395,x104392,x104394,x104391))),x104395)) % 219.27/219.53 [10440]P13(x104401,x104402,x104403,x104404,x104405,x104406)+P1(f319(f319(f321(f931(x104401,x104401)),f319(f319(f244(x104401,x104401),f861(x104403,x104406,x104405,x104402,x104404,x104401)),f860(x104403,x104406,x104405,x104402,x104404,x104401))),x104404)) % 219.27/219.53 [7980]~P6(x79802)+E(f319(f319(f33(x79801,x79802),x79803),f319(f319(f7(x79801,x79804,x79802),x79805),x79806)),f319(f319(f319(f33(x79801,f932(x79804,x79802)),x79803),x79805),x79806)) % 219.27/219.53 [7981]~P6(x79812)+E(f319(f319(f34(x79811,x79812),x79813),f319(f319(f7(x79811,x79814,x79812),x79815),x79816)),f319(f319(f319(f34(x79811,f932(x79814,x79812)),x79813),x79815),x79816)) % 219.27/219.53 [8761]E(f319(f319(f33(x87611,f932(x87612,a923)),x87613),f319(f319(f8(f932(x87612,a923),f932(x87612,a923),x87611),f319(f301(x87612),x87614)),x87615)),f319(f319(f301(x87612),x87614),f319(f319(f33(x87611,f932(x87612,a923)),x87613),x87615)))+~P1(f319(f319(f321(x87611),x87616),x87613)) % 219.27/219.53 [9218]~P6(x92182)+E(f319(f319(f33(x92181,x92182),x92183),f319(f319(f8(f932(x92184,x92182),x92182,x92181),f319(f33(x92184,x92182),x92185)),f319(f7(x92184,x92181,x92182),x92186))),f319(f319(f33(x92184,x92182),x92185),f319(f319(f8(f932(x92181,x92182),x92182,x92184),f319(f33(x92181,x92182),x92183)),x92186))) % 219.27/219.53 [9219]~P6(x92192)+E(f319(f319(f34(x92191,x92192),x92193),f319(f319(f8(f932(x92194,x92192),x92192,x92191),f319(f34(x92194,x92192),x92195)),f319(f7(x92194,x92191,x92192),x92196))),f319(f319(f34(x92194,x92192),x92195),f319(f319(f8(f932(x92191,x92192),x92192,x92194),f319(f34(x92191,x92192),x92193)),x92196))) % 219.27/219.53 [9428]P1(f319(f319(f321(x94281),x94282),f319(f164(x94281),x94283)))+~P1(f319(f319(f321(f931(x94284,x94281)),f319(f319(f244(x94284,x94281),x94285),x94282)),f319(f164(f931(x94284,x94281)),f319(f319(f173(x94284,x94281),x94286),x94283)))) % 219.27/219.53 [9429]P1(f319(f319(f321(x94291),x94292),f319(f164(x94291),x94293)))+~P1(f319(f319(f321(f931(x94291,x94294)),f319(f319(f244(x94291,x94294),x94292),x94295)),f319(f164(f931(x94291,x94294)),f319(f319(f173(x94291,x94294),x94293),x94296)))) % 219.27/219.53 [9537]P1(f319(f319(f226(f932(x95371,a923)),f319(f277(x95372,x95371,x95373),x95374)),x95375))+~P1(f319(f319(f226(f932(f931(x95372,x95371),a923)),x95373),f319(f319(f246(x95372,x95371),x95376),f319(f16(f932(x95371,a923),x95372),x95375)))) % 219.27/219.53 [9542]~P27(x95424,x95422,x95425,f234(f932(x95424,a923)),f234(f932(x95422,a923)))+E(f319(f319(f34(x95421,f932(x95422,a923)),x95423),f319(f319(f8(f932(x95424,a923),f932(x95422,a923),x95421),f302(x95424,x95422,x95425)),x95426)),f319(f302(x95424,x95422,x95425),f319(f319(f34(x95421,f932(x95424,a923)),x95423),x95426))) % 219.27/219.53 [9734]P1(f319(f319(f321(f931(f926(x97341),f926(x97341))),f319(f319(f244(f926(x97341),f926(x97341)),f319(f319(f143(x97341),x97342),x97343)),f319(f319(f143(x97341),x97344),x97345))),f139(x97341,x97346)))+~P1(f319(f319(f321(f931(x97341,x97341)),f319(f319(f244(x97341,x97341),x97342),x97344)),x97346)) % 219.27/219.53 [10212]E(f319(f319(f244(x102121,x102122),f604(x102123,x102124,x102125,x102122,x102121,x102126)),f607(x102123,x102124,x102125,x102122,x102121,x102126)),x102126)+P1(f319(f319(f321(x102125),x102124),f319(f319(f249(x102121,x102122,f932(x102125,a923)),x102123),x102126))) % 219.27/219.53 [10219]E(f319(f319(f244(x102191,x102192),f605(x102193,x102194,x102192,x102191,x102195,x102196)),f606(x102193,x102194,x102192,x102191,x102195,x102196)),x102193)+~P1(f319(f319(f321(x102196),x102195),f319(f319(f249(x102191,x102192,f932(x102196,a923)),x102194),x102193))) % 219.27/219.53 [10384]P1(f319(f319(f321(x103841),x103842),f319(f319(x103843,f605(x103844,x103843,x103845,x103846,x103842,x103841)),f606(x103844,x103843,x103845,x103846,x103842,x103841))))+~P1(f319(f319(f321(x103841),x103842),f319(f319(f249(x103846,x103845,f932(x103841,a923)),x103843),x103844))) % 219.27/219.53 [10409]~P1(f319(f319(f321(x104091),x104092),f319(f319(x104095,f604(x104095,x104092,x104091,x104094,x104093,x104096)),f607(x104095,x104092,x104091,x104094,x104093,x104096))))+P1(f319(f319(f321(x104091),x104092),f319(f319(f249(x104093,x104094,f932(x104091,a923)),x104095),x104096))) % 219.27/219.53 [8658]E(x86581,x86582)+E(f319(f319(f151(x86583,f319(f319(f151(x86583,x86584),x86581),x86585)),x86582),x86586),f319(f319(f151(x86583,f319(f319(f151(x86583,x86584),x86582),x86586)),x86581),x86585)) % 219.27/219.53 [9796]~P1(f319(f319(f321(x97963),x97966),x97965))+E(f319(f319(f301(x97961),x97962),f319(f302(x97963,x97961,x97964),f319(f319(f23(f932(x97963,a923)),x97965),f319(f319(f301(x97963),x97966),f180(f932(x97963,a923)))))),f319(f302(x97963,x97961,f68(x97963,x97961,x97964,x97966,x97962)),x97965)) % 219.27/219.53 [9298]~P1(f319(f319(x92984,x92985),x92986))+P1(f319(f319(f319(f319(f102(f932(x92981,f932(x92982,a923))),x92983),x92984),x92985),x92986)) % 219.27/219.53 [9300]~P1(f319(f319(x93003,x93005),x93006))+P1(f319(f319(f319(f319(f102(f932(x93001,f932(x93002,a923))),x93003),x93004),x93005),x93006)) % 219.27/219.53 [9593]P1(f319(f319(x95931,x95932),x95933))+~P1(f319(f319(f319(f319(f93(f932(x95934,f932(x95935,a923))),x95936),x95931),x95932),x95933)) % 219.27/219.53 [9594]P1(f319(f319(x95941,x95942),x95943))+~P1(f319(f319(f319(f319(f93(f932(x95944,f932(x95945,a923))),x95941),x95946),x95942),x95943)) % 219.27/219.53 [10048]~P79(x100482)+E(f319(f319(f6(x100481,x100482),f319(f319(f7(x100481,f932(x100483,a923),x100482),f319(f319(f8(f932(x100483,x100482),f932(f932(x100483,a923),x100482),x100481),f6(x100483,x100482)),x100484)),x100485)),x100486),f319(f319(f6(f931(x100481,x100483),x100482),f319(f249(x100481,x100483,x100482),x100484)),f319(f319(f246(x100481,x100483),x100486),f319(f16(f932(x100483,a923),x100481),x100485)))) % 219.27/219.53 [10049]~P78(x100492)+E(f319(f319(f9(x100491,x100492),f319(f319(f7(x100491,f932(x100493,a923),x100492),f319(f319(f8(f932(x100493,x100492),f932(f932(x100493,a923),x100492),x100491),f9(x100493,x100492)),x100494)),x100495)),x100496),f319(f319(f9(f931(x100491,x100493),x100492),f319(f249(x100491,x100493,x100492),x100494)),f319(f319(f246(x100491,x100493),x100496),f319(f16(f932(x100493,a923),x100491),x100495)))) % 219.27/219.53 [10183]~P79(x101832)+E(f319(f319(f6(x101831,x101832),f319(f319(f7(x101831,f932(x101833,a923),x101832),f319(f319(f8(f932(x101833,x101832),f932(f932(x101833,a923),x101832),x101831),f6(x101833,x101832)),f319(f7(x101833,x101831,x101832),x101834))),x101835)),x101836),f319(f319(f6(x101833,x101832),f319(f319(f7(x101833,f932(x101831,a923),x101832),f319(f319(f8(f932(x101831,x101832),f932(f932(x101831,a923),x101832),x101833),f6(x101831,x101832)),x101834)),x101836)),x101835)) % 219.27/219.53 [10504]~P1(f319(f319(f321(f931(x105041,x105042)),f319(f319(f244(x105041,x105042),x105045),x105046)),f319(f319(f102(f932(f931(x105041,x105042),a923)),x105043),x105044)))+P1(f319(f319(f319(f319(f102(f932(x105041,f932(x105042,a923))),f319(f319(f7(x105041,f932(f931(x105041,x105042),a923),f932(x105042,a923)),f319(f319(f8(f932(x105042,f932(f932(f931(x105041,x105042),a923),a923)),f932(f932(f931(x105041,x105042),a923),f932(x105042,a923)),x105041),f7(x105042,f932(f931(x105041,x105042),a923),a923)),f319(f319(f8(f932(x105042,f931(x105041,x105042)),f932(x105042,f932(f932(f931(x105041,x105042),a923),a923)),x105041),f319(f8(f931(x105041,x105042),f932(f932(f931(x105041,x105042),a923),a923),x105042),f321(f931(x105041,x105042)))),f244(x105041,x105042)))),x105043)),f319(f319(f7(x105041,f932(f931(x105041,x105042),a923),f932(x105042,a923)),f319(f319(f8(f932(x105042,f932(f932(f931(x105041,x105042),a923),a923)),f932(f932(f931(x105041,x105042),a923),f932(x105042,a923)),x105041),f7(x105042,f932(f931(x105041,x105042),a923),a923)),f319(f319(f8(f932(x105042,f931(x105041,x105042)),f932(x105042,f932(f932(f931(x105041,x105042),a923),a923)),x105041),f319(f8(f931(x105041,x105042),f932(f932(f931(x105041,x105042),a923),a923),x105042),f321(f931(x105041,x105042)))),f244(x105041,x105042)))),x105044)),x105045),x105046)) % 219.27/219.53 [10505]~P1(f319(f319(f321(f931(x105051,x105052)),f319(f319(f244(x105051,x105052),x105055),x105056)),f319(f319(f93(f932(f931(x105051,x105052),a923)),x105053),x105054)))+P1(f319(f319(f319(f319(f93(f932(x105051,f932(x105052,a923))),f319(f319(f7(x105051,f932(f931(x105051,x105052),a923),f932(x105052,a923)),f319(f319(f8(f932(x105052,f932(f932(f931(x105051,x105052),a923),a923)),f932(f932(f931(x105051,x105052),a923),f932(x105052,a923)),x105051),f7(x105052,f932(f931(x105051,x105052),a923),a923)),f319(f319(f8(f932(x105052,f931(x105051,x105052)),f932(x105052,f932(f932(f931(x105051,x105052),a923),a923)),x105051),f319(f8(f931(x105051,x105052),f932(f932(f931(x105051,x105052),a923),a923),x105052),f321(f931(x105051,x105052)))),f244(x105051,x105052)))),x105053)),f319(f319(f7(x105051,f932(f931(x105051,x105052),a923),f932(x105052,a923)),f319(f319(f8(f932(x105052,f932(f932(f931(x105051,x105052),a923),a923)),f932(f932(f931(x105051,x105052),a923),f932(x105052,a923)),x105051),f7(x105052,f932(f931(x105051,x105052),a923),a923)),f319(f319(f8(f932(x105052,f931(x105051,x105052)),f932(x105052,f932(f932(f931(x105051,x105052),a923),a923)),x105051),f319(f8(f931(x105051,x105052),f932(f932(f931(x105051,x105052),a923),a923),x105052),f321(f931(x105051,x105052)))),f244(x105051,x105052)))),x105054)),x105055),x105056)) % 219.27/219.53 [10515]P1(f319(f319(f321(f931(x105151,x105152)),f319(f319(f244(x105151,x105152),x105153),x105154)),f319(f319(f102(f932(f931(x105151,x105152),a923)),x105155),x105156)))+~P1(f319(f319(f319(f319(f102(f932(x105151,f932(x105152,a923))),f319(f319(f7(x105151,f932(f931(x105151,x105152),a923),f932(x105152,a923)),f319(f319(f8(f932(x105152,f932(f932(f931(x105151,x105152),a923),a923)),f932(f932(f931(x105151,x105152),a923),f932(x105152,a923)),x105151),f7(x105152,f932(f931(x105151,x105152),a923),a923)),f319(f319(f8(f932(x105152,f931(x105151,x105152)),f932(x105152,f932(f932(f931(x105151,x105152),a923),a923)),x105151),f319(f8(f931(x105151,x105152),f932(f932(f931(x105151,x105152),a923),a923),x105152),f321(f931(x105151,x105152)))),f244(x105151,x105152)))),x105155)),f319(f319(f7(x105151,f932(f931(x105151,x105152),a923),f932(x105152,a923)),f319(f319(f8(f932(x105152,f932(f932(f931(x105151,x105152),a923),a923)),f932(f932(f931(x105151,x105152),a923),f932(x105152,a923)),x105151),f7(x105152,f932(f931(x105151,x105152),a923),a923)),f319(f319(f8(f932(x105152,f931(x105151,x105152)),f932(x105152,f932(f932(f931(x105151,x105152),a923),a923)),x105151),f319(f8(f931(x105151,x105152),f932(f932(f931(x105151,x105152),a923),a923),x105152),f321(f931(x105151,x105152)))),f244(x105151,x105152)))),x105156)),x105153),x105154)) % 219.27/219.53 [10516]P1(f319(f319(f321(f931(x105161,x105162)),f319(f319(f244(x105161,x105162),x105163),x105164)),f319(f319(f93(f932(f931(x105161,x105162),a923)),x105165),x105166)))+~P1(f319(f319(f319(f319(f93(f932(x105161,f932(x105162,a923))),f319(f319(f7(x105161,f932(f931(x105161,x105162),a923),f932(x105162,a923)),f319(f319(f8(f932(x105162,f932(f932(f931(x105161,x105162),a923),a923)),f932(f932(f931(x105161,x105162),a923),f932(x105162,a923)),x105161),f7(x105162,f932(f931(x105161,x105162),a923),a923)),f319(f319(f8(f932(x105162,f931(x105161,x105162)),f932(x105162,f932(f932(f931(x105161,x105162),a923),a923)),x105161),f319(f8(f931(x105161,x105162),f932(f932(f931(x105161,x105162),a923),a923),x105162),f321(f931(x105161,x105162)))),f244(x105161,x105162)))),x105165)),f319(f319(f7(x105161,f932(f931(x105161,x105162),a923),f932(x105162,a923)),f319(f319(f8(f932(x105162,f932(f932(f931(x105161,x105162),a923),a923)),f932(f932(f931(x105161,x105162),a923),f932(x105162,a923)),x105161),f7(x105162,f932(f931(x105161,x105162),a923),a923)),f319(f319(f8(f932(x105162,f931(x105161,x105162)),f932(x105162,f932(f932(f931(x105161,x105162),a923),a923)),x105161),f319(f8(f931(x105161,x105162),f932(f932(f931(x105161,x105162),a923),a923),x105162),f321(f931(x105161,x105162)))),f244(x105161,x105162)))),x105166)),x105163),x105164)) % 219.27/219.53 [10498]~P1(f319(f319(f321(f931(x104982,x104983)),f319(f319(f244(x104982,x104983),x104985),x104986)),f319(f319(f33(x104981,f932(f931(x104982,x104983),a923)),f234(f932(x104981,a923))),x104984)))+P1(f319(f319(f319(f319(f33(x104981,f932(x104982,f932(x104983,a923))),f234(f932(x104981,a923))),f319(f319(f8(f932(f931(x104982,x104983),a923),f932(x104982,f932(x104983,a923)),x104981),f319(f7(x104982,f932(f931(x104982,x104983),a923),f932(x104983,a923)),f319(f319(f8(f932(x104983,f932(f932(f931(x104982,x104983),a923),a923)),f932(f932(f931(x104982,x104983),a923),f932(x104983,a923)),x104982),f7(x104983,f932(f931(x104982,x104983),a923),a923)),f319(f319(f8(f932(x104983,f931(x104982,x104983)),f932(x104983,f932(f932(f931(x104982,x104983),a923),a923)),x104982),f319(f8(f931(x104982,x104983),f932(f932(f931(x104982,x104983),a923),a923),x104983),f321(f931(x104982,x104983)))),f244(x104982,x104983))))),x104984)),x104985),x104986)) % 219.27/219.53 [10499]~P1(f319(f319(f321(f931(x104992,x104993)),f319(f319(f244(x104992,x104993),x104995),x104996)),f319(f319(f34(x104991,f932(f931(x104992,x104993),a923)),f234(f932(x104991,a923))),x104994)))+P1(f319(f319(f319(f319(f34(x104991,f932(x104992,f932(x104993,a923))),f234(f932(x104991,a923))),f319(f319(f8(f932(f931(x104992,x104993),a923),f932(x104992,f932(x104993,a923)),x104991),f319(f7(x104992,f932(f931(x104992,x104993),a923),f932(x104993,a923)),f319(f319(f8(f932(x104993,f932(f932(f931(x104992,x104993),a923),a923)),f932(f932(f931(x104992,x104993),a923),f932(x104993,a923)),x104992),f7(x104993,f932(f931(x104992,x104993),a923),a923)),f319(f319(f8(f932(x104993,f931(x104992,x104993)),f932(x104993,f932(f932(f931(x104992,x104993),a923),a923)),x104992),f319(f8(f931(x104992,x104993),f932(f932(f931(x104992,x104993),a923),a923),x104993),f321(f931(x104992,x104993)))),f244(x104992,x104993))))),x104994)),x104995),x104996)) % 219.27/219.53 [10509]P1(f319(f319(f321(f931(x105091,x105092)),f319(f319(f244(x105091,x105092),x105093),x105094)),f319(f319(f33(x105095,f932(f931(x105091,x105092),a923)),f234(f932(x105095,a923))),x105096)))+~P1(f319(f319(f319(f319(f33(x105095,f932(x105091,f932(x105092,a923))),f234(f932(x105095,a923))),f319(f319(f8(f932(f931(x105091,x105092),a923),f932(x105091,f932(x105092,a923)),x105095),f319(f7(x105091,f932(f931(x105091,x105092),a923),f932(x105092,a923)),f319(f319(f8(f932(x105092,f932(f932(f931(x105091,x105092),a923),a923)),f932(f932(f931(x105091,x105092),a923),f932(x105092,a923)),x105091),f7(x105092,f932(f931(x105091,x105092),a923),a923)),f319(f319(f8(f932(x105092,f931(x105091,x105092)),f932(x105092,f932(f932(f931(x105091,x105092),a923),a923)),x105091),f319(f8(f931(x105091,x105092),f932(f932(f931(x105091,x105092),a923),a923),x105092),f321(f931(x105091,x105092)))),f244(x105091,x105092))))),x105096)),x105093),x105094)) % 219.27/219.53 [10510]P1(f319(f319(f321(f931(x105101,x105102)),f319(f319(f244(x105101,x105102),x105103),x105104)),f319(f319(f34(x105105,f932(f931(x105101,x105102),a923)),f234(f932(x105105,a923))),x105106)))+~P1(f319(f319(f319(f319(f34(x105105,f932(x105101,f932(x105102,a923))),f234(f932(x105105,a923))),f319(f319(f8(f932(f931(x105101,x105102),a923),f932(x105101,f932(x105102,a923)),x105105),f319(f7(x105101,f932(f931(x105101,x105102),a923),f932(x105102,a923)),f319(f319(f8(f932(x105102,f932(f932(f931(x105101,x105102),a923),a923)),f932(f932(f931(x105101,x105102),a923),f932(x105102,a923)),x105101),f7(x105102,f932(f931(x105101,x105102),a923),a923)),f319(f319(f8(f932(x105102,f931(x105101,x105102)),f932(x105102,f932(f932(f931(x105101,x105102),a923),a923)),x105101),f319(f8(f931(x105101,x105102),f932(f932(f931(x105101,x105102),a923),a923),x105102),f321(f931(x105101,x105102)))),f244(x105101,x105102))))),x105106)),x105103),x105104)) % 219.27/219.53 [7660]E(f319(x76601,f319(x76602,x76603)),f319(x76604,x76603))+~E(f319(f66(x76605,x76606,x76607,x76601),x76602),x76604) % 219.27/219.53 [9812]E(x98121,x98122)+E(f68(x98123,x98124,f68(x98123,x98124,x98125,x98121,x98126),x98122,x98127),f68(x98123,x98124,f68(x98123,x98124,x98125,x98122,x98127),x98121,x98126)) % 219.27/219.53 [9904]~P23(x99043,x99044,x99041,x99045,x99046,x99047)+E(f319(f319(x99041,x99042),x99042),x99042) % 219.27/219.53 [6222]~E(f319(f319(f146(x62221,x62225),x62226),x62222),f319(f319(f146(x62223,x62225),x62227),x62224))+E(f319(f181(f926(x62221)),x62222),f319(f181(f926(x62223)),x62224)) % 219.27/219.53 [8691]E(f319(x86911,f319(x86912,x86913)),f319(x86914,x86913))+~E(f319(f66(x86915,x86916,x86917,x86911),x86912),f319(f66(x86916,x86916,x86917,f25(x86916)),x86914)) % 219.27/219.53 [9049]~P35(x90494,x90495,x90491,f319(f319(f143(x90494),x90492),x90496),f319(f319(f143(x90495),x90493),x90497))+P1(f319(f319(x90491,x90492),x90493)) % 219.27/219.53 [9435]P35(x94351,x94352,x94353,x94354,x94355)+~P35(x94351,x94352,x94353,f319(f319(f143(x94351),x94356),x94354),f319(f319(f143(x94352),x94357),x94355)) % 219.27/219.53 [10084]P1(f319(f319(x100841,x100842),f563(x100843,x100842,x100844,x100841)))+~P1(f319(f319(f245(x100845,x100846,x100847,x100841,x100844),x100842),x100843)) % 219.27/219.53 [10108]P1(f319(f319(x101081,f563(x101082,x101083,x101081,x101084)),x101082))+~P1(f319(f319(f245(x101085,x101086,x101087,x101084,x101081),x101083),x101082)) % 219.27/219.53 [9171]~P21(x91716,x91711,x91713,x91717)+E(f319(f66(x91711,x91711,x91712,f319(x91713,x91714)),f319(f66(x91711,x91711,x91712,f319(x91713,x91714)),x91715)),f319(f66(x91711,x91711,x91712,f319(x91713,x91714)),x91715)) % 219.27/219.53 [9545]~P35(x95453,x95452,x95454,f319(f319(f146(x95451,x95453),x95455),x95456),x95457)+P35(x95451,x95452,f319(f319(f8(x95453,f932(x95452,a923),x95451),x95454),x95455),x95456,x95457) % 219.27/219.53 [9569]P35(x95691,x95692,x95693,f319(f319(f146(x95694,x95691),x95695),x95696),x95697)+~P35(x95694,x95692,f319(f319(f8(x95691,f932(x95692,a923),x95694),x95693),x95695),x95696,x95697) % 219.27/219.53 [9170]~P1(f319(f319(f321(x91701),x91702),f319(f319(x91705,x91706),x91707)))+P1(f319(f319(f321(x91701),x91702),f319(f319(f249(x91703,x91704,f932(x91701,a923)),x91705),f319(f319(f244(x91703,x91704),x91706),x91707)))) % 219.27/219.53 [9460]P1(f319(f319(f319(x94601,x94602),x94603),x94604))+~P1(f319(f319(f319(f249(x94605,x94606,f932(x94607,a923)),x94601),f319(f319(f244(x94605,x94606),x94602),x94603)),x94604)) % 219.27/219.53 [9608]P1(f319(f319(f321(x96081),f319(f319(x96082,x96083),x96084)),f319(f302(f931(x96085,x96086),x96081,f319(f249(x96085,x96086,x96081),x96082)),x96087)))+~P1(f319(f319(f321(f931(x96085,x96086)),f319(f319(f244(x96085,x96086),x96083),x96084)),x96087)) % 219.27/219.53 [9959]P1(f319(f319(f321(f931(f926(x99591),f926(x99591))),f319(f319(f244(f926(x99591),f926(x99591)),f319(f319(f126(x99591),x99592),f319(f319(f143(x99591),x99593),x99594))),f319(f319(f126(x99591),x99592),f319(f319(f143(x99591),x99595),x99596)))),f139(x99591,x99597)))+~P1(f319(f319(f321(f931(x99591,x99591)),f319(f319(f244(x99591,x99591),x99593),x99595)),x99597)) % 219.27/219.53 [10031]~P35(x100311,x100313,x100314,x100316,f319(f319(f146(x100312,x100313),x100315),x100317))+P35(x100311,x100312,f319(f319(f7(x100311,f932(x100312,x100313),f932(x100312,a923)),f319(f319(f8(f932(x100313,a923),f932(f932(x100312,x100313),f932(x100312,a923)),x100311),f8(x100313,a923,x100312)),x100314)),x100315),x100316,x100317) % 219.27/219.53 [10112]P35(x101121,x101122,x101123,x101124,f319(f319(f146(x101125,x101122),x101126),x101127))+~P35(x101121,x101125,f319(f319(f7(x101121,f932(x101125,x101122),f932(x101125,a923)),f319(f319(f8(f932(x101122,a923),f932(f932(x101125,x101122),f932(x101125,a923)),x101121),f8(x101122,a923,x101125)),x101123)),x101126),x101124,x101127) % 219.27/219.53 [10424]P1(f319(f319(f321(x104241),f465(x104242,x104243,x104244,x104245,x104246,x104247,x104241)),x104245))+P1(f319(f319(f319(f319(f34(x104241,f932(x104247,f932(x104246,a923))),x104245),x104244),x104243),x104242)) % 219.27/219.53 [10425]P1(f319(f319(f321(x104251),f507(x104252,x104253,x104254,x104255,x104256,x104257,x104251)),x104257))+P1(f319(f319(f319(f319(f34(x104251,f932(x104253,f932(x104252,a923))),x104257),x104256),x104255),x104254)) % 219.27/219.53 [10426]P1(f319(f319(f321(x104261),f450(x104262,x104263,x104264,x104265,x104266,x104267,x104261)),x104265))+~P1(f319(f319(f319(f319(f33(x104261,f932(x104267,f932(x104266,a923))),x104265),x104264),x104263),x104262)) % 219.27/219.53 [10427]P1(f319(f319(f321(x104271),f497(x104272,x104273,x104274,x104275,x104276,x104277,x104271)),x104275))+~P1(f319(f319(f319(f319(f33(x104271,f932(x104277,f932(x104276,a923))),x104275),x104274),x104273),x104272)) % 219.27/219.53 [10461]P1(f319(f319(f319(x104611,f450(x104612,x104613,x104611,x104614,x104615,x104616,x104617)),x104613),x104612))+~P1(f319(f319(f319(f319(f33(x104617,f932(x104616,f932(x104615,a923))),x104614),x104611),x104613),x104612)) % 219.27/219.53 [10462]P1(f319(f319(f319(x104621,f497(x104622,x104623,x104621,x104624,x104625,x104626,x104627)),x104623),x104622))+~P1(f319(f319(f319(f319(f33(x104627,f932(x104626,f932(x104625,a923))),x104624),x104621),x104623),x104622)) % 219.27/219.53 [10477]~P1(f319(f319(f319(x104775,f465(x104777,x104776,x104775,x104774,x104773,x104772,x104771)),x104776),x104777))+P1(f319(f319(f319(f319(f34(x104771,f932(x104772,f932(x104773,a923))),x104774),x104775),x104776),x104777)) % 219.27/219.53 [10478]~P1(f319(f319(f319(x104785,f507(x104783,x104782,x104787,x104786,x104785,x104784,x104781)),x104786),x104787))+P1(f319(f319(f319(f319(f34(x104781,f932(x104782,f932(x104783,a923))),x104784),x104785),x104786),x104787)) % 219.27/219.53 [10497]~P1(f319(f319(f321(f931(x104971,x104973)),f319(f319(f244(x104971,x104973),x104976),x104977)),f319(f319(f281(x104971,x104972,x104973),x104974),x104975)))+P1(f319(f319(f245(x104971,x104972,x104973,f319(f319(f7(x104971,f932(f931(x104971,x104972),a923),f932(x104972,a923)),f319(f319(f8(f932(x104972,f932(f932(f931(x104971,x104972),a923),a923)),f932(f932(f931(x104971,x104972),a923),f932(x104972,a923)),x104971),f7(x104972,f932(f931(x104971,x104972),a923),a923)),f319(f319(f8(f932(x104972,f931(x104971,x104972)),f932(x104972,f932(f932(f931(x104971,x104972),a923),a923)),x104971),f319(f8(f931(x104971,x104972),f932(f932(f931(x104971,x104972),a923),a923),x104972),f321(f931(x104971,x104972)))),f244(x104971,x104972)))),x104974),f319(f319(f7(x104972,f932(f931(x104972,x104973),a923),f932(x104973,a923)),f319(f319(f8(f932(x104973,f932(f932(f931(x104972,x104973),a923),a923)),f932(f932(f931(x104972,x104973),a923),f932(x104973,a923)),x104972),f7(x104973,f932(f931(x104972,x104973),a923),a923)),f319(f319(f8(f932(x104973,f931(x104972,x104973)),f932(x104973,f932(f932(f931(x104972,x104973),a923),a923)),x104972),f319(f8(f931(x104972,x104973),f932(f932(f931(x104972,x104973),a923),a923),x104973),f321(f931(x104972,x104973)))),f244(x104972,x104973)))),x104975)),x104976),x104977)) % 219.27/219.53 [10508]P1(f319(f319(f321(f931(x105081,x105082)),f319(f319(f244(x105081,x105082),x105083),x105084)),f319(f319(f281(x105081,x105085,x105082),x105086),x105087)))+~P1(f319(f319(f245(x105081,x105085,x105082,f319(f319(f7(x105081,f932(f931(x105081,x105085),a923),f932(x105085,a923)),f319(f319(f8(f932(x105085,f932(f932(f931(x105081,x105085),a923),a923)),f932(f932(f931(x105081,x105085),a923),f932(x105085,a923)),x105081),f7(x105085,f932(f931(x105081,x105085),a923),a923)),f319(f319(f8(f932(x105085,f931(x105081,x105085)),f932(x105085,f932(f932(f931(x105081,x105085),a923),a923)),x105081),f319(f8(f931(x105081,x105085),f932(f932(f931(x105081,x105085),a923),a923),x105085),f321(f931(x105081,x105085)))),f244(x105081,x105085)))),x105086),f319(f319(f7(x105085,f932(f931(x105085,x105082),a923),f932(x105082,a923)),f319(f319(f8(f932(x105082,f932(f932(f931(x105085,x105082),a923),a923)),f932(f932(f931(x105085,x105082),a923),f932(x105082,a923)),x105085),f7(x105082,f932(f931(x105085,x105082),a923),a923)),f319(f319(f8(f932(x105082,f931(x105085,x105082)),f932(x105082,f932(f932(f931(x105085,x105082),a923),a923)),x105085),f319(f8(f931(x105085,x105082),f932(f932(f931(x105085,x105082),a923),a923),x105082),f321(f931(x105085,x105082)))),f244(x105085,x105082)))),x105087)),x105083),x105084)) % 219.27/219.53 [10436]~P143(x104362)+E(f319(f319(f6(x104361,x104362),f319(f319(f7(x104361,f932(x104363,a923),x104362),f319(f319(f8(f932(x104363,x104362),f932(f932(x104363,a923),x104362),x104361),f6(x104363,x104362)),f319(f319(f7(x104361,f932(x104363,x104362),f932(x104363,x104362)),f319(f319(f8(f932(x104362,x104362),f932(f932(x104363,x104362),f932(x104363,x104362)),x104361),f8(x104362,x104362,x104363)),f319(f319(f8(x104362,f932(x104362,x104362),x104361),f75(x104362)),x104364))),x104365))),x104366)),x104367),f319(f319(f75(x104362),f319(f319(f6(x104361,x104362),x104364),x104367)),f319(f319(f6(x104363,x104362),x104365),x104366))) % 219.27/219.53 [9493]~P20(x94937,x94931,x94933,x94938)+E(f319(f66(x94931,x94931,x94932,f319(x94933,x94934)),f319(f66(x94931,x94931,x94932,f319(x94933,x94935)),x94936)),f319(f66(x94931,x94931,x94932,f319(x94933,x94935)),f319(f66(x94931,x94931,x94932,f319(x94933,x94934)),x94936))) % 219.27/219.53 [10502]E(f319(f319(f244(x105021,x105022),f319(x105023,f586(x105024,x105025,x105023,x105026,x105027,x105028,x105022,x105021))),f319(x105025,f587(x105024,x105025,x105023,x105026,x105027,x105028,x105022,x105021))),x105028)+~P1(f319(f319(f321(f931(x105021,x105022)),x105028),f319(f302(f931(x105027,x105026),f931(x105021,x105022),f250(x105027,x105021,x105026,x105022,x105023,x105025)),x105024))) % 219.27/219.53 [10521]~P1(f319(f319(f321(f931(x105218,x105217)),x105216),f319(f302(f931(x105211,x105212),f931(x105218,x105217),f250(x105211,x105218,x105212,x105217,x105215,x105214)),x105213)))+P1(f319(f319(f321(f931(x105211,x105212)),f319(f319(f244(x105211,x105212),f586(x105213,x105214,x105215,x105212,x105211,x105216,x105217,x105218)),f587(x105213,x105214,x105215,x105212,x105211,x105216,x105217,x105218))),x105213)) % 219.27/219.53 [9946]P1(f319(f319(f321(f931(f931(x99461,x99462),f931(x99461,x99462))),f319(f319(f244(f931(x99461,x99462),f931(x99461,x99462)),f319(f319(f244(x99461,x99462),x99463),x99464)),f319(f319(f244(x99461,x99462),x99465),x99466))),f312(x99461,x99462,x99467,x99468)))+~P1(f319(f319(f321(f931(x99461,x99461)),f319(f319(f244(x99461,x99461),x99463),x99465)),x99467)) % 219.27/219.53 [10491]E(f319(f134(x104911,x104912,f319(f7(x104912,x104911,x104911),x104913),f319(x104914,x104915)),x104916),f319(x104914,f319(f134(x104917,x104912,f319(f7(x104912,x104917,x104917),x104918),x104915),x104916)))+P1(f319(f319(f321(x104912),f754(x104915,x104918,x104914,x104913,x104917,x104911,x104916,x104912)),f319(f164(x104912),x104916))) % 219.27/219.53 [10511]~E(f319(f66(x105111,x105111,x105117,f319(x105113,f754(x105115,x105118,x105114,x105113,x105117,x105111,x105116,x105112))),x105114),f319(f66(x105117,x105111,x105117,x105114),f319(x105118,f754(x105115,x105118,x105114,x105113,x105117,x105111,x105116,x105112))))+E(f319(f134(x105111,x105112,f319(f7(x105112,x105111,x105111),x105113),f319(x105114,x105115)),x105116),f319(x105114,f319(f134(x105117,x105112,f319(f7(x105112,x105117,x105117),x105118),x105115),x105116))) % 219.27/219.53 [8696]E(f319(x86961,f319(x86962,x86963)),f319(x86964,f319(x86965,x86963)))+~E(f319(f66(x86966,x86967,x86968,x86961),x86962),f319(f66(x86969,x86967,x86968,x86964),x86965)) % 219.27/219.53 [10349]P1(f319(f319(f321(f931(x103491,x103492)),f319(f319(f244(x103491,x103492),f319(x103493,x103494)),f319(x103495,x103496))),f319(f302(f931(x103497,x103498),f931(x103491,x103492),f250(x103497,x103491,x103498,x103492,x103493,x103495)),x103499)))+~P1(f319(f319(f321(f931(x103497,x103498)),f319(f319(f244(x103497,x103498),x103494),x103496)),x103499)) % 219.27/219.53 [8994]~E(f319(x89944,f319(x89945,x89946)),f319(x89949,f319(x899410,x899411)))+E(f319(f319(f66(x89941,x89942,x89943,x89944),x89945),x89946),f319(f319(f66(x89947,x89942,x89948,x89949),x899410),x899411)) % 219.27/219.53 [4791]~P4(x47911)+~P108(x47911)+E(f93(x47911),f224(x47911)) % 219.27/219.53 [4792]~P4(x47921)+~P107(x47921)+E(f102(x47921),f225(x47921)) % 219.27/219.53 [5037]~P126(x50371)+~P99(x50371)+E(f319(f69(x50371),f319(f95(x50371),a89)),f72(x50371)) % 219.27/219.53 [5328]E(x53281,f2(a1))+E(f76(a1,x53281),f319(f73(a1),f72(a1)))+P1(f319(f319(f227(a1),f2(a1)),x53281)) % 219.27/219.53 [5533]E(x55331,f2(a1))+E(f76(a1,x55331),f72(a1))+~P1(f319(f319(f227(a1),f2(a1)),x55331)) % 219.27/219.53 [7561]~P42(x75611)+P1(f319(f55(a1),x75611))+~P1(f319(f55(a925),f319(f302(a1,a925,a96),x75611))) % 219.27/219.53 [9903]E(x99031,f180(f932(f931(a925,a925),a923)))+~P1(f319(f55(f931(a925,a925)),x99031))+P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),f180(f932(f931(a925,a925),a923))),x99031)),a28)) % 219.27/219.53 [10085]E(x100851,f2(a925))+E(x100851,f319(a104,f2(a925)))+~P1(f319(f319(f227(a925),x100851),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.27/219.53 [10379]E(x103791,f2(a91))+E(f319(f319(f74(a1),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(a22,f319(f319(f30(a91),x103791),f319(f95(a91),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))))),f72(a1)),f319(a22,x103791))+E(f39(a91,x103791,f319(f95(a91),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f2(a91)) % 219.27/219.53 [10224]E(x102241,f2(a91))+~E(f39(a91,x102241,f319(f95(a91),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f2(a91))+E(f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(a22,f319(f319(f30(a91),x102241),f319(f95(a91),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f319(a22,x102241)) % 219.27/219.53 [4872]~P62(x48721,x48722)+P45(x48721,x48722)+~P46(a923) % 219.27/219.53 [4801]~P149(x48011)+P29(x48011,x48012)+~E(x48012,f2(x48011)) % 219.27/219.53 [4802]~P4(x48021)+P14(x48021,x48022)+~E(x48022,f105(x48021)) % 219.27/219.53 [4811]~P126(x48111)+~E(x48112,f2(x48111))+E(f76(x48111,x48112),f2(x48111)) % 219.27/219.53 [4812]~P94(x48121)+~E(x48122,f2(x48121))+E(f76(x48121,x48122),f2(x48121)) % 219.27/219.53 [4820]~P149(x48202)+~P29(x48202,x48201)+E(x48201,f2(x48202)) % 219.27/219.53 [4865]~P126(x48652)+~E(f76(x48652,x48651),f2(x48652))+E(x48651,f2(x48652)) % 219.27/219.53 [4879]~P5(x48792)+~P5(x48791)+P5(f932(x48791,x48792)) % 219.27/219.53 [4880]~P5(x48802)+~P5(x48801)+P5(f931(x48801,x48802)) % 219.27/219.53 [4881]~P5(x48812)+~P5(x48811)+P5(f933(x48811,x48812)) % 219.27/219.53 [4882]~P71(x48822)+~P71(x48821)+P71(f932(x48821,x48822)) % 219.27/219.53 [4883]~P71(x48832)+~P71(x48831)+P71(f931(x48831,x48832)) % 219.27/219.53 [4884]~P71(x48842)+~P71(x48841)+P71(f933(x48841,x48842)) % 219.27/219.53 [4885]~P7(x48852)+~P7(x48851)+P7(f186(x48851,x48852)) % 219.27/219.53 [4886]~P111(x48862)+~P111(x48861)+P111(f931(x48861,x48862)) % 219.27/219.53 [5009]~P4(x50091)+~P14(x50091,x50092)+P14(x50091,f144(x50091,x50092)) % 219.27/219.53 [5252]~P7(x52522)+~P7(x52521)+P7(f39(a1,x52521,x52522)) % 219.27/219.53 [4822]~P84(x48221)+~E(x48222,f2(x48221))+E(f319(f73(x48221),x48222),x48222) % 219.27/219.53 [4837]~P145(x48371)+~E(x48372,f2(a1))+E(f319(f94(x48371),x48372),f2(x48371)) % 219.27/219.53 [4838]~P98(x48381)+~E(x48382,f2(a1))+E(f319(f94(x48381),x48382),f2(x48381)) % 219.27/219.53 [4862]~P69(x48621)+~E(f2(x48621),x48622)+E(f319(f73(x48621),x48622),f2(x48621)) % 219.27/219.53 [4863]~P69(x48631)+~E(x48632,f2(x48631))+E(f319(f73(x48631),x48632),f2(x48631)) % 219.27/219.53 [4864]~P92(x48641)+~E(x48642,f2(x48641))+E(f319(f69(x48641),x48642),f2(x48641)) % 219.27/219.53 [4888]~P84(x48882)+E(x48881,f2(x48882))+~E(f319(f73(x48882),x48881),x48881) % 219.27/219.53 [4890]E(x48901,f319(a96,x48902))+~E(x48901,f2(a925))+~E(x48902,f319(f92(a1),x48901)) % 219.27/219.53 [4891]E(f319(a96,x48911),x48912)+~E(x48912,f2(a925))+~E(x48911,f319(f92(a1),x48912)) % 219.27/219.53 [4895]~P98(x48952)+E(x48951,f2(a1))+~E(f319(f94(x48952),x48951),f2(x48952)) % 219.27/219.53 [4899]~P69(x48992)+E(x48991,f2(x48992))+~E(f319(f73(x48992),x48991),f2(x48992)) % 219.27/219.53 [4900]~P92(x49002)+E(x49001,f2(x49002))+~E(f319(f69(x49002),x49001),f2(x49002)) % 219.27/219.53 [4901]~P69(x49011)+E(f2(x49011),x49012)+~E(f319(f73(x49011),x49012),f2(x49011)) % 219.27/219.53 [5084]~P4(x50841)+~P14(x50841,x50842)+P14(x50841,f319(f163(x50841),x50842)) % 219.27/219.53 [5111]~P1(x51112)+~P1(x51111)+P1(f319(f319(a317,x51111),x51112)) % 219.27/219.53 [5145]~E(f72(a925),f2(a925))+E(f319(f29(x51451),x51452),f2(a925))+~P1(f319(f55(x51451),x51452)) % 219.27/219.53 [5182]~P143(x51821)+~P119(x51821)+E(f319(f319(f236(x51821),f2(x51821)),f319(a104,x51822)),f2(x51821)) % 219.27/219.53 [5220]~P4(x52201)+P14(x52201,f131(x52201,x52202))+~P1(f319(f55(x52201),x52202)) % 219.27/219.53 [5221]~P4(x52211)+P14(x52211,f747(x52212,x52211))+~P1(f319(f55(x52211),x52212)) % 219.27/219.53 [5244]~P4(x52441)+E(f319(f164(x52441),f131(x52441,x52442)),x52442)+~P1(f319(f55(x52441),x52442)) % 219.27/219.53 [5245]~P4(x52451)+E(f319(f164(x52451),f747(x52452,x52451)),x52452)+~P1(f319(f55(x52451),x52452)) % 219.27/219.53 [5274]P1(x52741)+P1(x52742)+~P1(f319(f319(a318,x52742),x52741)) % 219.27/219.53 [5287]E(x52871,f180(f932(x52872,a923)))+~E(f319(f29(x52872),x52871),f2(a925))+~P1(f319(f55(x52872),x52871)) % 219.27/219.53 [5292]P1(x52921)+~P1(x52922)+~P1(f319(f319(a322,x52922),x52921)) % 219.27/219.53 [5347]~P82(x53471)+E(f319(f69(x53471),x53472),x53472)+P1(f319(f319(f227(x53471),x53472),f2(x53471))) % 219.27/219.53 [5348]~P6(x53482)+~P41(x53482,x53482,x53481)+E(f319(x53481,f88(x53482,x53481)),f88(x53482,x53481)) % 219.27/219.53 [5349]~P6(x53492)+~P41(x53492,x53492,x53491)+E(f319(x53491,f87(x53492,x53491)),f87(x53492,x53491)) % 219.27/219.53 [5410]~P5(x54102)+~P1(f319(f50(x54102),x54101))+P1(f319(x54101,f835(x54101,x54102))) % 219.27/219.53 [5411]~P5(x54112)+~P1(f319(f50(x54112),x54111))+P1(f319(x54111,f902(x54111,x54112))) % 219.27/219.53 [5451]E(x54511,f105(x54512))+P1(f319(f129(x54512),f106(x54512,x54511)))+~P1(f319(f129(x54512),x54511)) % 219.27/219.53 [5456]~P4(x54561)+~P1(f319(f55(x54561),x54562))+P1(f319(f129(x54561),f131(x54561,x54562))) % 219.27/219.53 [5457]~P4(x54571)+~P1(f319(f55(x54571),x54572))+P1(f319(f129(x54571),f747(x54572,x54571))) % 219.27/219.53 [5462]~P145(x54621)+E(f319(f92(x54621),f319(a96,x54622)),f319(f94(x54621),x54622))+P1(f319(f319(f227(a1),x54622),f2(a1))) % 219.27/219.53 [5483]P8(x54832,x54831)+E(f319(x54831,f516(x54831)),f319(x54831,f554(x54831)))+P1(f319(f319(x54831,f516(x54831)),f554(x54831))) % 219.27/219.53 [5495]E(f319(f92(a1),f430(x54951,x54952)),x54951)+P1(f319(x54952,f319(a96,x54951)))+~P1(f319(x54952,f2(a925))) % 219.27/219.53 [5507]~P5(x55071)+~P1(f319(x55072,f758(x55072,x55071)))+P1(f319(f51(x55071),x55072)) % 219.27/219.53 [5508]~P5(x55081)+~P1(f319(x55082,f836(x55082,x55081)))+P1(f319(f51(x55081),x55082)) % 219.27/219.53 [5543]~P126(x55431)+~E(f76(x55431,x55432),f319(f73(x55431),f72(x55431)))+P1(f319(f319(f227(x55431),x55432),f2(x55431))) % 219.27/219.53 [5617]~E(x56172,f2(a1))+E(f207(x56171,x56172),f319(f319(f244(a1,a1),f2(a1)),f72(a1)))+P1(f319(f319(f227(a1),x56172),f2(a1))) % 219.27/219.53 [5618]~E(x56181,f2(a1))+E(f207(x56181,x56182),f319(f319(f244(a1,a1),f2(a1)),f72(a1)))+P1(f319(f319(f227(a1),x56182),f2(a1))) % 219.27/219.53 [5670]E(f319(f92(a1),f430(x56701,x56702)),x56701)+P1(f319(x56702,f319(a96,x56701)))+P1(f319(f319(f227(a1),x56701),f2(a1))) % 219.27/219.53 [5737]~P126(x57371)+E(f76(x57371,x57372),f319(f73(x57371),f72(x57371)))+~P1(f319(f319(f227(x57371),x57372),f2(x57371))) % 219.27/219.53 [5738]~P92(x57381)+E(f319(f69(x57381),x57382),f319(f73(x57381),x57382))+~P1(f319(f319(f226(x57381),x57382),f2(x57381))) % 219.27/219.53 [5739]~P92(x57391)+E(f319(f69(x57391),x57392),f319(f73(x57391),x57392))+~P1(f319(f319(f227(x57391),x57392),f2(x57391))) % 219.27/219.53 [5740]~P82(x57401)+E(f319(f69(x57401),x57402),f319(f73(x57401),x57402))+~P1(f319(f319(f227(x57401),x57402),f2(x57401))) % 219.27/219.53 [5839]~P1(f319(x58391,f430(x58392,x58391)))+P1(f319(x58391,f319(a96,x58392)))+~P1(f319(x58391,f2(a925))) % 219.27/219.53 [5846]E(x58461,f2(a925))+E(f319(a104,f372(x58462,x58461)),x58461)+~P1(f319(f319(f227(a925),x58461),f319(a104,x58462))) % 219.27/219.53 [5850]P8(x58501,x58502)+~E(f319(x58502,f516(x58502)),f319(x58502,f554(x58502)))+~P1(f319(f319(x58502,f516(x58502)),f554(x58502))) % 219.27/219.53 [5869]~P4(x58691)+P14(x58691,x58692)+P1(f319(f319(f226(a925),f730(x58692,x58691)),f731(x58692,x58691))) % 219.27/219.53 [5870]~P4(x58701)+P14(x58701,x58702)+P1(f319(f319(f226(a925),f738(x58702,x58701)),f742(x58702,x58701))) % 219.27/219.53 [5956]~P92(x59561)+~E(x59562,f2(x59561))+P1(f319(f319(f226(x59561),f319(f69(x59561),x59562)),f2(x59561))) % 219.27/219.53 [6045]~P1(f319(x60451,f430(x60452,x60451)))+P1(f319(x60451,f319(a96,x60452)))+P1(f319(f319(f227(a1),x60452),f2(a1))) % 219.27/219.53 [6071]~P1(f319(x60711,f319(a96,x60712)))+P1(f319(x60711,f2(a925)))+~P1(f319(f319(f227(a1),x60712),f2(a1))) % 219.27/219.53 [6417]~P126(x64171)+~P1(f319(f319(f227(x64171),x64172),f2(x64171)))+P1(f319(f319(f227(x64171),f76(x64171,x64172)),f2(x64171))) % 219.27/219.53 [6531]~P126(x65311)+P1(f319(f319(f226(x65311),f319(f94(x65311),x65312)),f2(x65311)))+~P1(f319(f319(f226(a1),x65312),f2(a1))) % 219.27/219.53 [6532]~P126(x65321)+P1(f319(f319(f227(x65321),f319(f94(x65321),x65322)),f2(x65321)))+~P1(f319(f319(f227(a1),x65322),f2(a1))) % 219.27/219.53 [6541]~P92(x65412)+E(x65411,f2(x65412))+~P1(f319(f319(f226(x65412),f319(f69(x65412),x65411)),f2(x65412))) % 219.27/219.53 [6619]~P145(x66191)+~P1(f319(f319(f321(x66191),x66192),f101(x66191)))+P1(f319(f319(f321(x66191),f319(f73(x66191),x66192)),f101(x66191))) % 219.27/219.53 [6652]~P126(x66521)+~P1(f319(f319(f227(x66521),f76(x66521,x66522)),f2(x66521)))+P1(f319(f319(f227(x66521),x66522),f2(x66521))) % 219.27/219.53 [6828]~P126(x68282)+~P1(f319(f319(f226(x68282),f319(f94(x68282),x68281)),f2(x68282)))+P1(f319(f319(f226(a1),x68281),f2(a1))) % 219.27/219.53 [6829]~P126(x68292)+~P1(f319(f319(f227(x68292),f319(f94(x68292),x68291)),f2(x68292)))+P1(f319(f319(f227(a1),x68291),f2(a1))) % 219.27/219.53 [6915]~P6(x69151)+~P41(x69151,x69151,x69152)+P1(f319(f319(f226(x69151),f319(x69152,f88(x69151,x69152))),f88(x69151,x69152))) % 219.27/219.53 [6916]~P6(x69161)+~P41(x69161,x69161,x69162)+P1(f319(f319(f226(x69161),f319(x69162,f87(x69161,x69162))),f87(x69161,x69162))) % 219.27/219.53 [7336]~P84(x73361)+~P1(f319(f319(f226(x73361),x73362),f2(x73361)))+P1(f319(f319(f226(x73361),f319(f319(f74(x73361),x73362),x73362)),f2(x73361))) % 219.27/219.53 [7338]~P126(x73381)+~P1(f319(f319(f227(x73381),x73382),f2(x73381)))+P1(f319(f319(f227(x73381),f319(f319(f74(x73381),x73382),x73382)),f2(x73381))) % 219.27/219.53 [7339]~P84(x73391)+~P1(f319(f319(f227(x73391),x73392),f2(x73391)))+P1(f319(f319(f227(x73391),f319(f319(f74(x73391),x73392),x73392)),f2(x73391))) % 219.27/219.53 [7904]~P84(x79041)+~P1(f319(f319(f226(x79041),f319(f319(f74(x79041),x79042),x79042)),f2(x79041)))+P1(f319(f319(f226(x79041),x79042),f2(x79041))) % 219.27/219.53 [7905]~P126(x79051)+~P1(f319(f319(f227(x79051),f319(f319(f74(x79051),x79052),x79052)),f2(x79051)))+P1(f319(f319(f227(x79051),x79052),f2(x79051))) % 219.27/219.53 [7906]~P84(x79061)+~P1(f319(f319(f227(x79061),f319(f319(f74(x79061),x79062),x79062)),f2(x79061)))+P1(f319(f319(f227(x79061),x79062),f2(x79061))) % 219.27/219.53 [4936]~E(x49362,f72(a925))+~E(x49361,f72(a925))+E(f319(f319(f75(a925),x49361),x49362),f72(a925)) % 219.27/219.53 [4937]~E(x49372,f72(a1))+~E(x49371,f72(a1))+E(f319(f319(f75(a1),x49371),x49372),f72(a1)) % 219.27/219.53 [4938]~E(x49382,f2(a925))+~E(x49381,f2(a925))+E(f319(f319(f74(a925),x49381),x49382),f2(a925)) % 219.27/219.53 [4993]~P124(x49932)+E(x49931,f2(x49932))+E(f319(f319(f283(x49932),x49931),x49931),f72(x49932)) % 219.27/219.53 [4994]~P65(x49942)+E(x49941,f2(x49942))+E(f319(f319(f30(x49942),x49941),x49941),f72(x49942)) % 219.27/219.53 [4995]~P125(x49952)+E(x49951,f2(x49952))+E(f319(f319(f283(x49952),x49951),x49951),f72(x49952)) % 219.27/219.53 [5015]~P144(x50151)+~E(x50152,f72(x50151))+E(f319(f319(f75(x50151),x50152),x50152),f72(x50151)) % 219.27/219.53 [5016]~P84(x50161)+~E(x50162,f2(x50161))+E(f319(f319(f74(x50161),x50162),x50162),f2(x50161)) % 219.27/219.53 [5017]~P125(x50171)+~E(x50172,f2(x50171))+E(f319(f319(f283(x50171),x50172),x50172),f2(x50171)) % 219.27/219.53 [5062]~E(x50622,f2(a925))+~E(x50621,f2(a925))+E(f319(f73(a1),f319(f92(a1),x50621)),f319(f92(a1),x50622)) % 219.27/219.53 [5081]E(x50811,f72(a925))+E(x50812,f2(a925))+~E(f319(f319(f75(a925),x50812),x50811),x50812) % 219.27/219.53 [5093]E(x50931,f2(a925))+E(x50932,f2(a925))+~E(f319(f319(f75(a925),x50932),x50931),f2(a925)) % 219.27/219.53 [5120]~E(x51202,f2(a925))+~E(x51201,f319(a104,f2(a925)))+E(f319(f319(f74(a925),x51201),x51202),f319(a104,f2(a925))) % 219.27/219.53 [5121]~E(x51211,f2(a925))+~E(x51212,f319(a104,f2(a925)))+E(f319(f319(f74(a925),x51211),x51212),f319(a104,f2(a925))) % 219.27/219.53 [5128]E(x51281,f72(a1))+E(x51282,f319(f95(a1),a89))+~E(f319(f319(f75(a1),x51281),x51282),f72(a1)) % 219.27/219.53 [5129]E(x51291,f72(a1))+E(x51292,f319(f95(a1),a89))+~E(f319(f319(f75(a1),x51292),x51291),f72(a1)) % 219.27/219.53 [5130]E(x51301,f72(a1))+E(x51301,f319(f95(a1),a89))+~E(f319(f319(f75(a1),x51302),x51301),f72(a1)) % 219.27/219.53 [5132]E(x51321,f72(a1))+E(x51321,f319(f95(a1),a89))+~E(f319(f319(f75(a1),x51321),x51322),f72(a1)) % 219.27/219.53 [5154]~P84(x51542)+E(x51541,f2(x51542))+~E(f319(f319(f74(x51542),x51541),x51541),f2(x51542)) % 219.27/219.53 [5160]~E(x51601,f319(f95(a1),a89))+~E(x51602,f319(f95(a1),a89))+E(f319(f319(f75(a1),x51601),x51602),f72(a1)) % 219.27/219.53 [5171]E(x51711,f2(a925))+E(x51712,f2(a925))+~E(f319(f319(f74(a925),x51712),x51711),f319(a104,f2(a925))) % 219.27/219.53 [5181]~P72(x51811)+~P99(x51811)+E(f319(f319(f283(x51811),x51812),f319(f95(x51811),a77)),f2(x51811)) % 219.27/219.53 [5187]~P144(x51871)+~E(x51872,f319(f73(x51871),f72(x51871)))+E(f319(f319(f75(x51871),x51872),x51872),f72(x51871)) % 219.27/219.53 [5192]~P7(x51922)+~P7(x51921)+P7(f319(f319(f75(a1),x51921),x51922)) % 219.27/219.53 [5193]~P7(x51932)+~P7(x51931)+P7(f319(f319(f74(a1),x51931),x51932)) % 219.27/219.53 [5194]~P7(x51942)+~P7(x51941)+P7(f319(f319(f30(a1),x51941),x51942)) % 219.27/219.53 [5196]~E(x51962,f2(a1))+E(x51961,f2(a1))+E(f40(x51961,x51962),f319(f319(f244(a1,a1),f2(a1)),x51961)) % 219.27/219.53 [5218]~E(x52182,f319(a104,f2(a925)))+~E(x52181,f319(a104,f2(a925)))+E(f319(f319(f75(a925),x52181),x52182),f319(a104,f2(a925))) % 219.27/219.53 [5235]E(x52351,f2(a925))+E(x52352,f319(a104,f2(a925)))+~E(f319(f319(f236(a925),x52352),x52351),f319(a104,f2(a925))) % 219.27/219.53 [5236]E(x52361,f2(a925))+E(x52361,f319(a104,f2(a925)))+~E(f319(f319(f74(a925),x52362),x52361),f319(a104,f2(a925))) % 219.27/219.53 [5237]E(x52371,f2(a925))+E(x52371,f319(a104,f2(a925)))+~E(f319(f319(f74(a925),x52371),x52372),f319(a104,f2(a925))) % 219.27/219.53 [5246]~P72(x52461)+~P99(x52461)+E(f319(f319(f283(x52461),x52462),f319(f95(x52461),a89)),f319(f73(x52461),x52462)) % 219.27/219.53 [5266]E(x52661,f319(a96,x52662))+~E(x52661,f2(a925))+P1(f319(f319(f226(a1),f2(a1)),x52662)) % 219.27/219.53 [5267]E(f319(a96,x52671),x52672)+~E(x52672,f2(a925))+P1(f319(f319(f226(a1),f2(a1)),x52671)) % 219.27/219.53 [5283]E(x52831,f319(a104,f2(a925)))+E(x52832,f319(a104,f2(a925)))+~E(f319(f319(f74(a925),x52831),x52832),f319(a104,f2(a925))) % 219.27/219.53 [5294]~E(x52941,f319(a96,x52942))+E(x52941,f2(a925))+P1(f319(f319(f226(a1),f2(a1)),x52942)) % 219.27/219.53 [5295]~E(f319(a96,x52952),x52951)+E(x52951,f2(a925))+P1(f319(f319(f226(a1),f2(a1)),x52952)) % 219.27/219.53 [5321]~P102(x53211)+E(f319(f57(x53211,f93(x53211)),x53212),f10(x53211,x53212))+~P1(f319(f55(x53211),x53212)) % 219.27/219.53 [5322]~P102(x53221)+E(f319(f57(x53221,f102(x53221)),x53222),f13(x53221,x53222))+~P1(f319(f55(x53221),x53222)) % 219.27/219.53 [5323]~P4(x53231)+E(f319(f57(x53231,f224(x53231)),x53232),f14(x53231,x53232))+~P1(f319(f55(x53231),x53232)) % 219.27/219.53 [5324]~P4(x53241)+E(f319(f57(x53241,f225(x53241)),x53242),f15(x53241,x53242))+~P1(f319(f55(x53241),x53242)) % 219.27/219.53 [5405]E(x54051,x54052)+~E(f319(f319(f23(a925),x54052),x54051),f2(a925))+~E(f319(f319(f23(a925),x54051),x54052),f2(a925)) % 219.27/219.53 [5422]P7(x54221)+~P42(x54222)+~P1(f319(f319(f321(a1),x54221),x54222)) % 219.27/219.53 [5452]~P126(x54521)+~E(f76(x54521,x54522),f72(x54521))+P1(f319(f319(f227(x54521),f2(x54521)),x54522)) % 219.27/219.53 [5463]~P99(x54631)+E(f319(f92(x54631),f319(f95(a925),x54632)),f319(f95(x54631),x54632))+P1(f319(a185,f319(f95(a1),x54632))) % 219.27/219.53 [5468]~P45(x54681,x54682)+P46(a923)+P1(f319(f55(f931(x54681,x54681)),x54682)) % 219.27/219.53 [5535]~P4(x55351)+E(f319(f57(x55351,f224(x55351)),x55352),f11(x55351,f224(x55351),x55352))+~P1(f319(f55(x55351),x55352)) % 219.27/219.53 [5536]~P4(x55361)+E(f319(f57(x55361,f225(x55361)),x55362),f12(x55361,f225(x55361),x55362))+~P1(f319(f55(x55361),x55362)) % 219.27/219.53 [5550]E(x55501,x55502)+P1(f319(f319(f227(a925),x55502),x55501))+P1(f319(f319(f227(a925),x55501),x55502)) % 219.27/219.53 [5551]E(x55511,x55512)+P1(f319(f319(f227(a1),x55512),x55511))+P1(f319(f319(f227(a1),x55511),x55512)) % 219.27/219.53 [5604]~P99(x56041)+E(f319(f92(x56041),f319(f95(a925),x56042)),f2(x56041))+~P1(f319(a185,f319(f95(a1),x56042))) % 219.27/219.53 [5607]~E(x56072,f319(a96,x56071))+E(x56071,f319(f92(a1),x56072))+~P1(f319(f319(f226(a1),f2(a1)),x56071)) % 219.27/219.53 [5608]~E(f319(a96,x56081),x56082)+E(x56081,f319(f92(a1),x56082))+~P1(f319(f319(f226(a1),f2(a1)),x56081)) % 219.27/219.53 [5609]~E(x56091,f319(a96,x56092))+E(f319(f92(a1),x56091),x56092)+~P1(f319(f319(f226(a1),f2(a1)),x56092)) % 219.27/219.53 [5619]E(x56191,f319(a96,x56192))+~E(x56192,f319(f92(a1),x56191))+~P1(f319(f319(f226(a1),f2(a1)),x56192)) % 219.27/219.53 [5620]E(f319(a96,x56201),x56202)+~E(x56201,f319(f92(a1),x56202))+~P1(f319(f319(f226(a1),f2(a1)),x56201)) % 219.27/219.53 [5661]~P92(x56612)+E(x56611,f2(x56612))+P1(f319(f319(f227(x56612),f2(x56612)),f319(f69(x56612),x56611))) % 219.27/219.53 [5726]~P126(x57261)+E(f76(x57261,x57262),f72(x57261))+~P1(f319(f319(f227(x57261),f2(x57261)),x57262)) % 219.27/219.53 [5730]~P99(x57301)+E(f319(f92(x57301),f319(f95(a925),x57302)),f2(x57301))+P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x57302))) % 219.27/219.53 [5741]~P92(x57411)+E(f319(f69(x57411),x57412),x57412)+~P1(f319(f319(f226(x57411),f2(x57411)),x57412)) % 219.27/219.53 [5742]~P92(x57421)+E(f319(f69(x57421),x57422),x57422)+~P1(f319(f319(f227(x57421),f2(x57421)),x57422)) % 219.27/219.53 [5751]E(x57511,f2(a925))+~E(f131(a925,f319(f294(a925,x57512),x57511)),f105(a925))+P1(f319(f319(f226(a925),x57511),x57512)) % 219.27/219.53 [5761]~P79(x57611)+E(f319(f319(f6(x57611,x57611),f5(x57611)),f319(f164(x57611),x57612)),f319(f157(x57611),x57612))+~P1(f319(f129(x57611),x57612)) % 219.27/219.53 [5764]~P145(x57641)+E(f319(f92(x57641),f319(a96,x57642)),f319(f94(x57641),x57642))+~P1(f319(f319(f226(a1),f2(a1)),x57642)) % 219.27/219.53 [5791]E(x57911,x57912)+P1(f319(f319(f227(a925),x57911),x57912))+~P1(f319(f319(f226(a925),x57911),x57912)) % 219.27/219.53 [5792]E(x57921,x57922)+P1(f319(f319(f227(a1),x57921),x57922))+~P1(f319(f319(f226(a1),x57921),x57922)) % 219.27/219.53 [5795]E(x57951,f72(a1))+~E(f319(f319(f75(a1),x57952),x57951),f72(a1))+~P1(f319(f319(f227(a1),f2(a1)),x57952)) % 219.27/219.53 [5796]E(x57961,f72(a1))+~E(f319(f319(f75(a1),x57961),x57962),f72(a1))+~P1(f319(f319(f227(a1),f2(a1)),x57961)) % 219.27/219.53 [5836]~P42(x58362)+P1(f319(f319(f226(a1),f2(a1)),x58361))+~P1(f319(f319(f321(a1),x58361),x58362)) % 219.27/219.53 [5856]~P62(x58561,x58562)+P38(x58561,x58562)+~P1(f319(f55(f931(x58561,x58561)),x58562)) % 219.27/219.53 [5858]~P62(x58581,x58582)+P45(x58581,x58582)+~P1(f319(f55(f931(x58581,x58581)),x58582)) % 219.27/219.53 [5900]E(x59001,f180(f932(x59002,a923)))+~P1(f319(f55(x59002),x59001))+P1(f319(f319(f227(a925),f2(a925)),f319(f29(x59002),x59001))) % 219.27/219.53 [5927]~P1(f319(x59271,x59272))+P1(f319(x59271,f2(a925)))+P1(f319(f319(f227(a925),f440(x59272,x59271)),x59272)) % 219.27/219.53 [5950]E(x59501,f2(a925))+~E(f319(f157(a925),x59502),f2(a925))+~P1(f319(f319(f321(a925),x59501),f319(f164(a925),x59502))) % 219.27/219.53 [6018]E(x60181,x60182)+~P1(f319(f319(f226(a925),x60182),x60181))+~P1(f319(f319(f226(a925),x60181),x60182)) % 219.27/219.53 [6019]E(x60191,x60192)+~P1(f319(f319(f226(a1),x60192),x60191))+~P1(f319(f319(f226(a1),x60191),x60192)) % 219.27/219.53 [6021]E(f319(f29(x60211),x60212),f2(a925))+~P1(f319(f55(x60211),x60212))+P1(f319(f319(f321(x60211),f517(x60212,x60211)),x60212)) % 219.27/219.53 [6030]E(f44(x60301,x60302),f40(x60301,x60302))+P1(f319(f319(f226(a1),f2(a1)),x60301))+~P1(f319(f319(f227(a1),f2(a1)),x60302)) % 219.27/219.53 [6057]~P1(f319(x60571,f427(x60571)))+P1(f319(x60571,f319(a96,x60572)))+~P1(f319(f319(f226(a1),f2(a1)),x60572)) % 219.27/219.53 [6060]P1(f319(f319(f226(a925),x60601),f333(x60602)))+~P1(f319(f55(a925),x60602))+~P1(f319(f319(f321(a925),x60601),x60602)) % 219.27/219.53 [6061]P1(f319(f319(f227(a925),x60611),f352(x60612)))+~P1(f319(f55(a925),x60612))+~P1(f319(f319(f321(a925),x60611),x60612)) % 219.27/219.53 [6093]E(x60931,x60932)+~P1(f319(f319(f227(a925),x60931),f319(a104,x60932)))+P1(f319(f319(f227(a925),x60931),x60932)) % 219.27/219.53 [6129]E(x61291,f319(a104,x61292))+~P1(f319(f319(f226(a925),x61291),f319(a104,x61292)))+P1(f319(f319(f226(a925),x61291),x61292)) % 219.27/219.53 [6145]P1(f319(x61451,f431(x61451)))+~P1(f319(x61451,f319(a96,x61452)))+~P1(f319(f319(f226(a1),f2(a1)),x61452)) % 219.27/219.53 [6161]~P1(f319(x61611,x61612))+~P1(f319(f319(f226(a1),f2(a1)),x61612))+P1(f319(x61611,f319(f92(a1),f370(x61611)))) % 219.27/219.53 [6172]~P92(x61722)+~E(x61721,f2(x61722))+~P1(f319(f319(f227(x61722),f2(x61722)),f319(f69(x61722),x61721))) % 219.27/219.53 [6197]~P62(x61971,x61972)+P38(x61971,f319(f278(x61971,x61971),x61972))+~P1(f319(f55(f931(x61971,x61971)),x61972)) % 219.27/219.53 [6208]~P99(x62081)+E(f319(f92(x62081),f319(f95(a925),x62082)),f319(f95(x62081),x62082))+~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x62082))) % 219.27/219.53 [6211]E(f319(a104,x62111),x62112)+~P1(f319(f319(f227(a925),x62111),x62112))+P1(f319(f319(f227(a925),f319(a104,x62111)),x62112)) % 219.27/219.53 [6228]E(f319(f319(f30(a1),x62281),x62282),f2(a1))+~P1(f319(f319(f226(a1),x62281),f2(a1)))+~P1(f319(f319(f227(a1),x62282),x62281)) % 219.27/219.53 [6238]E(f39(a1,x62381,x62382),x62381)+~P1(f319(f319(f226(a1),x62381),f2(a1)))+~P1(f319(f319(f227(a1),x62382),x62381)) % 219.27/219.53 [6252]E(f41(x62521,x62522),f40(x62521,x62522))+~P1(f319(f319(f226(a1),f2(a1)),x62521))+~P1(f319(f319(f226(a1),f2(a1)),x62522)) % 219.27/219.53 [6262]E(f319(f319(f30(a1),x62621),x62622),f2(a1))+~P1(f319(f319(f226(a1),f2(a1)),x62621))+~P1(f319(f319(f227(a1),x62621),x62622)) % 219.27/219.53 [6271]E(f39(a925,f319(f95(a925),x62711),f319(f95(a925),x62712)),f319(f95(a925),x62711))+P1(f319(a185,f319(f95(a1),x62711)))+~P1(f319(a185,f319(f95(a1),x62712))) % 219.27/219.53 [6273]E(f39(a1,x62731,x62732),x62731)+~P1(f319(f319(f226(a1),f2(a1)),x62731))+~P1(f319(f319(f227(a1),x62731),x62732)) % 219.27/219.53 [6274]E(x62741,x62742)+~P1(f319(f319(f227(a925),x62741),f319(a104,x62742)))+~P1(f319(f319(f226(a925),x62742),x62741)) % 219.27/219.53 [6288]~P84(x62881)+~P1(f319(f319(f226(x62881),x62882),f2(x62881)))+P1(f319(f319(f226(x62881),x62882),f319(f73(x62881),x62882))) % 219.27/219.53 [6289]~P126(x62891)+~P1(f319(f319(f227(x62891),x62892),f2(x62891)))+P1(f319(f319(f227(x62891),x62892),f319(f73(x62891),x62892))) % 219.27/219.53 [6298]~P6(x62981)+E(f319(f319(f58(x62981,x62981,f93(x62981)),f234(x62981)),x62982),f32(x62981,x62982))+~P1(f319(f55(x62981),x62982)) % 219.27/219.53 [6299]~P6(x62991)+E(f319(f319(f58(x62991,x62991,f102(x62991)),f180(x62991)),x62992),f31(x62991,x62992))+~P1(f319(f55(x62991),x62992)) % 219.27/219.53 [6316]~P126(x63161)+~P1(f319(f319(f226(a1),f2(a1)),x63162))+P1(f319(f319(f226(x63161),f2(x63161)),f319(f94(x63161),x63162))) % 219.27/219.53 [6317]~P129(x63171)+~P1(f319(f319(f227(a925),f2(a925)),x63172))+P1(f319(f319(f227(x63171),f2(x63171)),f319(f92(x63171),x63172))) % 219.27/219.53 [6318]~P126(x63181)+~P1(f319(f319(f227(a1),f2(a1)),x63182))+P1(f319(f319(f227(x63181),f2(x63181)),f319(f94(x63181),x63182))) % 219.27/219.53 [6321]~P7(x63212)+~P7(x63211)+E(f319(f302(a925,a1,f92(a1)),f295(a925,f319(a96,x63211),f319(a96,x63212))),f295(a1,x63211,x63212)) % 219.27/219.53 [6327]P1(f319(x63271,x63272))+~P1(f319(f319(f226(a1),f2(a1)),x63272))+~P1(f319(x63271,f319(f92(a1),f373(x63271)))) % 219.27/219.53 [6356]E(f319(f319(f74(a925),f319(f95(a925),x63561)),f319(f95(a925),x63562)),f319(f95(a925),x63561))+P1(f319(f319(f227(a1),x63561),a77))+~P1(f319(f319(f227(a1),x63562),a77)) % 219.27/219.53 [6360]~P126(x63601)+P1(f319(f319(f227(x63601),f2(x63601)),f76(x63601,x63602)))+~P1(f319(f319(f227(x63601),f2(x63601)),x63602)) % 219.27/219.53 [6372]~P68(x63721)+~P1(f319(f319(f226(x63721),x63722),f2(x63721)))+P1(f319(f319(f226(x63721),f2(x63721)),f319(f73(x63721),x63722))) % 219.27/219.53 [6373]~P68(x63731)+~P1(f319(f319(f227(x63731),x63732),f2(x63731)))+P1(f319(f319(f227(x63731),f2(x63731)),f319(f73(x63731),x63732))) % 219.27/219.53 [6376]E(x63761,f234(f932(x63762,a923)))+~E(f319(f29(x63762),x63761),f319(f29(x63762),f234(f932(x63762,a923))))+~P1(f319(f55(x63762),f234(f932(x63762,a923)))) % 219.27/219.53 [6408]~P84(x64081)+P1(f319(f319(f226(x64081),x64082),f2(x64081)))+~P1(f319(f319(f226(x64081),x64082),f319(f73(x64081),x64082))) % 219.27/219.53 [6409]~P126(x64091)+P1(f319(f319(f227(x64091),x64092),f2(x64091)))+~P1(f319(f319(f227(x64091),x64092),f319(f73(x64091),x64092))) % 219.27/219.53 [6419]~P99(x64191)+P1(f319(f319(f321(x64191),f319(f95(x64191),x64192)),f178(x64191)))+~P1(f319(f319(f226(a1),a77),x64192)) % 219.27/219.53 [6448]E(x64481,f2(a925))+~P1(f319(f319(f227(a925),x64481),f319(a104,x64482)))+P1(f319(f319(f227(a925),f372(x64482,x64481)),x64482)) % 219.27/219.53 [6470]~P126(x64701)+~P1(f319(f319(f227(x64701),f2(x64701)),f76(x64701,x64702)))+P1(f319(f319(f227(x64701),f2(x64701)),x64702)) % 219.27/219.53 [6472]~E(f319(f95(a925),x64722),f319(f95(a925),x64721))+P1(f319(f319(f226(a1),f319(f95(a1),x64721)),f2(a1)))+~P1(f319(a185,f319(f95(a1),x64722))) % 219.27/219.53 [6501]E(f319(f243(a1,a1),f44(x65011,x65012)),f319(f319(f30(a1),x65011),x65012))+~P1(f319(f319(f227(a1),x65011),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x65012)) % 219.27/219.53 [6539]E(f319(f248(a1,a1),f44(x65391,x65392)),f39(a1,x65391,x65392))+~P1(f319(f319(f227(a1),x65391),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x65392)) % 219.27/219.53 [6542]~P126(x65422)+~P1(f319(f319(f226(x65422),f2(x65422)),f319(f94(x65422),x65421)))+P1(f319(f319(f226(a1),f2(a1)),x65421)) % 219.27/219.53 [6543]~P129(x65432)+~P1(f319(f319(f227(x65432),f2(x65432)),f319(f92(x65432),x65431)))+P1(f319(f319(f227(a925),f2(a925)),x65431)) % 219.27/219.53 [6544]~P126(x65442)+~P1(f319(f319(f227(x65442),f2(x65442)),f319(f94(x65442),x65441)))+P1(f319(f319(f227(a1),f2(a1)),x65441)) % 219.27/219.53 [6547]E(f319(f243(a1,a1),f41(x65471,x65472)),f319(f319(f30(a1),x65471),x65472))+~P1(f319(f319(f226(a1),f2(a1)),x65472))+~P1(f319(f319(f227(a1),f2(a1)),x65471)) % 219.27/219.53 [6562]E(f319(f248(a1,a1),f41(x65621,x65622)),f39(a1,x65621,x65622))+~P1(f319(f319(f226(a1),f2(a1)),x65622))+~P1(f319(f319(f227(a1),f2(a1)),x65621)) % 219.27/219.53 [6577]~P68(x65771)+P1(f319(f319(f226(x65771),x65772),f2(x65771)))+~P1(f319(f319(f226(x65771),f2(x65771)),f319(f73(x65771),x65772))) % 219.27/219.53 [6578]~P68(x65781)+P1(f319(f319(f227(x65781),x65782),f2(x65781)))+~P1(f319(f319(f227(x65781),f2(x65781)),f319(f73(x65781),x65782))) % 219.27/219.53 [6601]~P6(x66011)+~P41(x66011,x66011,x66012)+P1(f319(f319(f226(x66011),f88(x66011,x66012)),f319(x66012,f88(x66011,x66012)))) % 219.27/219.53 [6602]~P6(x66021)+~P41(x66021,x66021,x66022)+P1(f319(f319(f226(x66021),f87(x66021,x66022)),f319(x66022,f87(x66021,x66022)))) % 219.27/219.53 [6607]P1(f319(f43(x66071,x66072),f44(x66071,x66072)))+~P1(f319(f319(f227(a1),x66071),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x66072)) % 219.27/219.53 [6631]P1(f319(f43(x66311,x66312),f41(x66311,x66312)))+~P1(f319(f319(f226(a1),f2(a1)),x66311))+~P1(f319(f319(f227(a1),f2(a1)),x66312)) % 219.27/219.53 [6675]~P68(x66751)+P1(f319(f319(f226(x66751),f319(f73(x66751),x66752)),f2(x66751)))+~P1(f319(f319(f226(x66751),f2(x66751)),x66752)) % 219.27/219.53 [6676]~P68(x66761)+P1(f319(f319(f227(x66761),f319(f73(x66761),x66762)),f2(x66761)))+~P1(f319(f319(f227(x66761),f2(x66761)),x66762)) % 219.27/219.53 [6694]E(f319(f319(f23(a925),f319(a96,x66941)),f319(a96,x66942)),f319(a96,f186(x66941,x66942)))+~P1(f319(f319(f226(a1),f2(a1)),x66942))+~P1(f319(f319(f226(a1),f2(a1)),x66941)) % 219.27/219.53 [6712]P1(f319(f319(f226(a1),f2(a1)),f186(x67121,x67122)))+~P1(f319(f319(f226(a1),f2(a1)),x67122))+~P1(f319(f319(f226(a1),f2(a1)),x67121)) % 219.27/219.53 [6749]~P1(f319(x67491,x67492))+P1(f319(x67491,f2(a925)))+P1(f319(x67491,f319(f319(f74(a925),f440(x67492,x67491)),f72(a925)))) % 219.27/219.53 [6835]E(f319(f95(a925),x68351),f319(f95(a925),x68352))+~P1(f319(f319(f226(a1),f319(f95(a1),x68352)),f2(a1)))+~P1(f319(a185,f319(f95(a1),x68351))) % 219.27/219.53 [6847]~E(x68471,f2(a925))+~E(f697(x68472,x68471),f2(a925))+E(f319(f134(a925,a925,f74(a925),x68471),x68472),f2(a925)) % 219.27/219.53 [6871]~P1(f319(f55(x68711),f903(x68712,x68711)))+~P1(f319(f55(f932(x68711,a923)),x68712))+P1(f319(f55(x68711),f31(f932(x68711,a923),x68712))) % 219.27/219.53 [6877]E(x68771,x68772)+P1(f319(f319(f227(a1),x68771),x68772))+~P1(f319(f319(f227(a1),x68771),f319(f319(f74(a1),x68772),f72(a1)))) % 219.27/219.53 [6878]P1(f319(f319(f226(a925),f319(a96,x68781)),f319(a96,x68782)))+~P1(f319(f319(f226(a1),f2(a1)),x68782))+~P1(f319(f319(f226(a1),x68781),x68782)) % 219.27/219.53 [6879]P1(f319(f319(f226(a925),f319(a96,x68791)),f319(a96,x68792)))+~P1(f319(f319(f227(a1),f2(a1)),x68791))+~P1(f319(f319(f226(a1),x68791),x68792)) % 219.27/219.53 [6881]P1(f319(f319(f227(a925),f319(a96,x68811)),f319(a96,x68812)))+~P1(f319(f319(f226(a1),f2(a1)),x68811))+~P1(f319(f319(f227(a1),x68811),x68812)) % 219.27/219.53 [6882]P1(f319(f319(f227(a925),f319(a96,x68821)),f319(a96,x68822)))+~P1(f319(f319(f227(a1),f2(a1)),x68822))+~P1(f319(f319(f227(a1),x68821),x68822)) % 219.27/219.53 [6894]E(f39(a925,f319(a96,x68941),f319(a96,x68942)),f319(a96,f39(a1,x68941,x68942)))+~P1(f319(f319(f226(a1),f2(a1)),x68942))+~P1(f319(f319(f226(a1),f2(a1)),x68941)) % 219.27/219.53 [6920]~P68(x69201)+~P1(f319(f319(f226(x69201),f319(f73(x69201),x69202)),f2(x69201)))+P1(f319(f319(f226(x69201),f2(x69201)),x69202)) % 219.27/219.53 [6921]~P68(x69211)+~P1(f319(f319(f227(x69211),f319(f73(x69211),x69212)),f2(x69211)))+P1(f319(f319(f227(x69211),f2(x69211)),x69212)) % 219.27/219.53 [6936]~P1(f319(f319(f227(a1),a77),x69362))+~P1(f319(f319(f227(a1),x69361),x69362))+P1(f319(f319(f227(a925),f319(f95(a925),x69361)),f319(f95(a925),x69362))) % 219.27/219.53 [7025]~P1(f319(f319(f226(a1),f2(a1)),x70251))+P1(f319(f319(f227(a925),f319(a96,x70251)),x70252))+~P1(f319(f319(f227(a1),x70251),f319(f92(a1),x70252))) % 219.27/219.53 [7030]P1(f319(x70301,x70302))+~P1(f319(x70301,f319(a20,f834(x70301,x70302))))+~P1(f319(f319(f321(a925),x70302),f234(f932(a925,a923)))) % 219.27/219.53 [7041]E(x70411,f2(a1))+E(f39(a1,x70412,x70411),f2(a1))+E(f319(f319(f23(a1),f319(f73(a1),f319(f319(f30(a1),x70412),x70411))),f72(a1)),f319(f319(f30(a1),x70412),f319(f73(a1),x70411))) % 219.27/219.53 [7055]~P1(f319(f319(f226(a1),f2(a1)),x70551))+~P1(f319(f319(f227(a925),f319(a96,x70551)),x70552))+P1(f319(f319(f227(a1),x70551),f319(f92(a1),x70552))) % 219.27/219.53 [7093]~P1(f319(f319(f226(a925),f319(a96,x70931)),f319(a96,x70932)))+~P1(f319(f319(f226(a1),f2(a1)),x70932))+P1(f319(f319(f226(a1),x70931),x70932)) % 219.27/219.53 [7094]~P1(f319(f319(f226(a925),f319(a96,x70941)),f319(a96,x70942)))+~P1(f319(f319(f227(a1),f2(a1)),x70941))+P1(f319(f319(f226(a1),x70941),x70942)) % 219.27/219.53 [7123]P1(f319(f319(f226(a1),x71231),x71232))+~P1(f319(f319(f226(a925),f319(f95(a925),x71231)),f319(f95(a925),x71232)))+P1(f319(f319(f226(a1),x71231),a77)) % 219.27/219.53 [7149]P1(f319(f319(f226(a1),f2(a1)),f39(a1,x71491,x71492)))+~P1(f319(f319(f226(a1),f2(a1)),x71492))+~P1(f319(f319(f226(a1),f2(a1)),x71491)) % 219.27/219.53 [7244]P1(f319(f319(f227(a1),a77),x72441))+~P1(f319(f319(f227(a1),x72442),x72441))+~P1(f319(f319(f227(a925),f319(f95(a925),x72442)),f319(f95(a925),x72441))) % 219.27/219.53 [7299]E(f319(f319(f244(a1,a1),f319(f319(f30(a1),x72991),x72992)),f39(a1,x72991,x72992)),f44(x72991,x72992))+~P1(f319(f319(f227(a1),x72991),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x72992)) % 219.27/219.53 [7319]E(f319(f319(f244(a1,a1),f319(f319(f30(a1),x73191),x73192)),f39(a1,x73191,x73192)),f41(x73191,x73192))+~P1(f319(f319(f226(a1),f2(a1)),x73192))+~P1(f319(f319(f226(a1),f2(a1)),x73191)) % 219.27/219.53 [7373]~P101(x73732)+E(x73731,f105(x73732))+E(f319(f134(x73732,x73732,f75(x73732),f319(f133(x73732),x73731)),f319(f163(x73732),x73731)),f319(f57(x73732,f75(x73732)),f319(f164(x73732),x73731))) % 219.27/219.53 [7490]~E(x74901,f2(a925))+E(f319(f134(a925,a925,f74(a925),x74901),x74902),f2(a925))+P1(f319(f319(f321(a925),f697(x74902,x74901)),f319(f164(a925),x74902))) % 219.27/219.53 [7541]~P1(f319(f319(f226(a1),x75411),f2(a1)))+P1(f319(f319(f226(a1),f319(f319(f30(a1),x75411),x75412)),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x75412)) % 219.27/219.53 [7542]~P1(f319(f319(f227(a1),x75422),f2(a1)))+P1(f319(f319(f226(a1),f319(f319(f30(a1),x75421),x75422)),f2(a1)))+~P1(f319(f319(f226(a1),f2(a1)),x75421)) % 219.27/219.53 [7543]~P1(f319(f319(f227(a1),x75432),f2(a1)))+P1(f319(f319(f227(a1),f319(f319(f30(a1),x75431),x75432)),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x75431)) % 219.27/219.53 [7545]~P1(f319(f319(f227(a1),x75451),f2(a1)))+P1(f319(f319(f227(a1),f319(f319(f30(a1),x75451),x75452)),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x75452)) % 219.27/219.53 [7551]P1(f319(f319(f321(f932(x75511,a923)),f903(x75512,x75511)),x75512))+~P1(f319(f55(f932(x75511,a923)),x75512))+P1(f319(f55(x75511),f31(f932(x75511,a923),x75512))) % 219.27/219.53 [7639]P26(x76391,x76391,x76392,f234(f932(x76391,a923)))+~E(f319(f302(x76391,x76391,x76392),f234(f932(x76391,a923))),f234(f932(x76391,a923)))+~P1(f319(f55(x76391),f234(f932(x76391,a923)))) % 219.27/219.53 [7758]~P26(x77581,x77581,x77582,f234(f932(x77581,a923)))+E(f319(f302(x77581,x77581,x77582),f234(f932(x77581,a923))),f234(f932(x77581,a923)))+~P1(f319(f55(x77581),f234(f932(x77581,a923)))) % 219.27/219.53 [7897]E(f319(f319(f30(a1),x78971),x78972),f319(f95(a1),a89))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),x78971),x78972)),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x78971)) % 219.27/219.53 [7954]~P1(f319(f319(f227(a1),x79542),f2(a1)))+~P1(f319(f319(f227(a1),f319(f319(f30(a1),x79541),x79542)),f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x79541)) % 219.27/219.53 [7959]E(f319(f319(f74(a1),x79591),x79592),f39(a1,x79591,x79592))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),x79591),x79592)),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x79591)) % 219.27/219.53 [7962]P1(f319(f319(f227(a1),x79621),f2(a1)))+~P1(f319(f319(f227(a1),f319(f319(f30(a1),x79621),x79622)),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x79622)) % 219.27/219.53 [8663]~P4(x86631)+P14(x86631,x86632)+~P1(f319(f319(f226(x86631),f319(f319(f156(x86631),x86632),f730(x86632,x86631))),f319(f319(f156(x86631),x86632),f731(x86632,x86631)))) % 219.27/219.53 [8664]~P4(x86641)+P14(x86641,x86642)+~P1(f319(f319(f226(x86641),f319(f319(f156(x86641),x86642),f738(x86642,x86641))),f319(f319(f156(x86641),x86642),f742(x86642,x86641)))) % 219.27/219.53 [5893]E(x58931,f2(a1))+~E(f39(a1,x58932,x58931),f2(a1))+E(f319(f319(f30(a1),x58932),f319(f73(a1),x58931)),f319(f73(a1),f319(f319(f30(a1),x58932),x58931))) % 219.27/219.53 [5911]~P42(x59112)+~P42(x59111)+P42(f319(f319(f102(f932(a1,a923)),x59111),x59112)) % 219.27/219.53 [5912]~P42(x59122)+~P42(x59121)+P42(f319(f319(f93(f932(a1,a923)),x59121),x59122)) % 219.27/219.53 [5930]~P72(x59301)+~P99(x59301)+E(f319(f73(x59301),f319(f319(f283(x59301),f72(x59301)),x59302)),f319(f319(f283(x59301),f319(f95(x59301),a89)),x59302)) % 219.27/219.53 [6049]E(x60491,f2(a1))+~E(f39(a1,x60492,x60491),f2(a1))+E(f319(f319(f30(a1),f319(f73(a1),x60492)),x60491),f319(f73(a1),f319(f319(f30(a1),x60492),x60491))) % 219.27/219.53 [6191]~P4(x61911)+P14(x61911,x61912)+P1(f319(f319(f227(a925),f731(x61912,x61911)),f319(f181(f926(x61911)),x61912))) % 219.27/219.53 [6192]~P4(x61921)+P14(x61921,x61922)+P1(f319(f319(f227(a925),f742(x61922,x61921)),f319(f181(f926(x61921)),x61922))) % 219.27/219.53 [6350]~P99(x63501)+~E(f319(f95(x63501),x63502),f2(x63501))+P29(x63501,f319(f95(x63501),f319(f319(f74(a1),x63502),f319(f73(a1),a77)))) % 219.27/219.53 [6351]~P99(x63511)+~E(f319(f95(x63511),x63512),f2(x63511))+P29(x63511,f319(f95(x63511),f319(f319(f74(a1),a77),f319(f73(a1),x63512)))) % 219.27/219.53 [6353]E(f319(a45,f41(f319(f73(a1),x63531),f319(f73(a1),x63532))),f40(x63531,x63532))+P1(f319(f319(f226(a1),f2(a1)),x63531))+P1(f319(f319(f227(a1),f2(a1)),x63532)) % 219.27/219.53 [6478]~E(x64782,f2(a925))+~E(x64781,f2(a925))+P1(f319(f319(f226(a1),f319(f92(a1),x64781)),f319(f73(a1),f319(f92(a1),x64782)))) % 219.27/219.53 [6507]E(f319(f319(f74(a925),f319(f95(a925),x65071)),f319(f95(a925),x65072)),f319(f95(a925),f319(f319(f74(a1),x65071),x65072)))+P1(f319(f319(f227(a1),x65071),a77))+P1(f319(f319(f227(a1),x65072),a77)) % 219.27/219.53 [6641]~P84(x66411)+~P1(f319(f319(f226(x66411),f2(x66411)),x66412))+P1(f319(f319(f226(x66411),f319(f73(x66411),x66412)),x66412)) % 219.27/219.53 [6642]~P84(x66421)+~P1(f319(f319(f227(x66421),f2(x66421)),x66422))+P1(f319(f319(f227(x66421),f319(f73(x66421),x66422)),x66422)) % 219.27/219.53 [6821]E(f319(f319(f23(a925),f319(a96,x68211)),f319(a96,x68212)),f319(a96,f319(f319(f23(a1),x68211),x68212)))+~P1(f319(f319(f226(a1),f2(a1)),x68212))+~P1(f319(f319(f226(a1),x68212),x68211)) % 219.27/219.53 [6855]E(f319(a96,f39(a1,f319(f95(a1),x68551),f319(f95(a1),x68552))),f39(a925,f319(f95(a925),x68551),f319(f95(a925),x68552)))+P1(f319(a185,f319(f95(a1),x68551)))+P1(f319(a185,f319(f95(a1),x68552))) % 219.27/219.53 [6872]~P84(x68721)+P1(f319(f319(f226(x68721),f2(x68721)),x68722))+~P1(f319(f319(f226(x68721),f319(f73(x68721),x68722)),x68722)) % 219.27/219.53 [6873]~P84(x68731)+P1(f319(f319(f227(x68731),f2(x68731)),x68732))+~P1(f319(f319(f227(x68731),f319(f73(x68731),x68732)),x68732)) % 219.27/219.53 [6886]~P84(x68861)+~P1(f319(f319(f226(x68861),f2(x68861)),x68862))+P1(f319(f319(f226(x68861),f2(x68861)),f319(f319(f74(x68861),x68862),x68862))) % 219.27/219.53 [6888]~P84(x68881)+~P1(f319(f319(f227(x68881),f2(x68881)),x68882))+P1(f319(f319(f227(x68881),f2(x68881)),f319(f319(f74(x68881),x68882),x68882))) % 219.27/219.53 [6901]E(f319(f319(f74(a925),f319(a96,x69011)),f319(a96,x69012)),f319(a96,f319(f319(f74(a1),x69011),x69012)))+~P1(f319(f319(f226(a1),f2(a1)),x69012))+~P1(f319(f319(f226(a1),f2(a1)),x69011)) % 219.27/219.53 [6912]E(x69121,f2(a925))+P1(f319(f319(f227(a925),f2(a925)),x69122))+~P1(f319(f319(f227(a925),f2(a925)),f319(f319(f236(a925),x69122),x69121))) % 219.27/219.53 [6946]~P99(x69461)+E(f319(f95(x69461),x69462),f2(x69461))+~P29(x69461,f319(f95(x69461),f319(f319(f74(a1),a77),f319(f73(a1),x69462)))) % 219.27/219.53 [6947]~P99(x69471)+E(f319(f95(x69471),x69472),f2(x69471))+~P29(x69471,f319(f95(x69471),f319(f319(f74(a1),x69472),f319(f73(a1),a77)))) % 219.27/219.53 [7003]~P1(f319(f55(x70031),x70032))+~P1(f319(f55(x70031),f234(f932(x70031,a923))))+P1(f319(f55(x70031),f319(f73(f932(x70031,a923)),x70032))) % 219.27/219.53 [7026]~P1(f319(f319(f227(a1),f2(a1)),x70262))+~P1(f319(f319(f226(a1),x70262),x70261))+P1(f319(f319(f227(a1),f2(a1)),f319(f319(f30(a1),x70261),x70262))) % 219.27/219.53 [7027]~P1(f319(f319(f226(a1),x70271),f2(a1)))+~P1(f319(f319(f227(a1),x70272),f2(a1)))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f30(a1),x70271),x70272))) % 219.27/219.53 [7067]~P1(f319(f319(f226(a1),f2(a1)),x70672))+~P1(f319(f319(f226(a1),f2(a1)),x70671))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f75(a1),x70671),x70672))) % 219.27/219.53 [7068]~P1(f319(f319(f226(a1),f2(a1)),x70682))+~P1(f319(f319(f226(a1),f2(a1)),x70681))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),x70681),x70682))) % 219.27/219.53 [7069]~P1(f319(f319(f226(a1),f2(a1)),x70692))+~P1(f319(f319(f226(a1),f2(a1)),x70691))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f30(a1),x70691),x70692))) % 219.27/219.53 [7070]~P1(f319(f319(f226(a1),f2(a1)),x70701))+~P1(f319(f319(f227(a1),f2(a1)),x70702))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f30(a1),x70701),x70702))) % 219.27/219.53 [7071]~P1(f319(f319(f227(a925),f2(a925)),x70712))+~P1(f319(f319(f227(a925),f2(a925)),x70711))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f75(a925),x70711),x70712))) % 219.27/219.53 [7136]E(x71361,f2(a1))+E(f39(a1,x71362,x71361),f2(a1))+E(f319(f319(f23(a1),f319(f73(a1),f319(f319(f30(a1),x71362),x71361))),f72(a1)),f319(f319(f30(a1),f319(f73(a1),x71362)),x71361)) % 219.27/219.53 [7190]P1(f319(f319(f227(a925),f2(a925)),x71901))+P1(f319(f319(f227(a925),f2(a925)),x71902))+~P1(f319(f319(f227(a925),f2(a925)),f319(f319(f74(a925),x71902),x71901))) % 219.27/219.53 [7194]~P84(x71941)+P1(f319(f319(f226(x71941),f2(x71941)),x71942))+~P1(f319(f319(f226(x71941),f2(x71941)),f319(f319(f74(x71941),x71942),x71942))) % 219.27/219.53 [7195]~P84(x71951)+P1(f319(f319(f227(x71951),f2(x71951)),x71952))+~P1(f319(f319(f227(x71951),f2(x71951)),f319(f319(f74(x71951),x71952),x71952))) % 219.27/219.53 [7245]~P1(f319(f55(x72451),x72452))+P1(f319(f55(x72451),f234(f932(x72451,a923))))+~P1(f319(f55(x72451),f319(f73(f932(x72451,a923)),x72452))) % 219.27/219.53 [7311]P1(f319(f319(f226(a1),x73111),f2(a1)))+~P1(f319(f319(f227(a1),x73112),f2(a1)))+~P1(f319(f319(f226(a1),f2(a1)),f319(f319(f30(a1),x73111),x73112))) % 219.27/219.53 [7317]~P1(f319(f319(f227(a1),f2(a1)),x73171))+P1(f319(f319(f226(a1),x73171),x73172))+~P1(f319(f319(f227(a1),f2(a1)),f319(f319(f30(a1),x73172),x73171))) % 219.27/219.53 [7318]~P1(f319(f319(f226(a1),f2(a1)),x73182))+P1(f319(f319(f226(a1),x73181),x73182))+~P1(f319(f319(f227(a1),f2(a1)),f319(f319(f30(a1),x73182),x73181))) % 219.27/219.53 [7348]P1(f319(f319(f226(a1),f2(a1)),x73481))+~P1(f319(f319(f227(a1),f2(a1)),x73482))+~P1(f319(f319(f226(a1),f2(a1)),f319(f319(f30(a1),x73481),x73482))) % 219.27/219.53 [7349]P1(f319(f319(f227(a1),f2(a1)),x73491))+~P1(f319(f319(f226(a1),f2(a1)),x73492))+~P1(f319(f319(f227(a1),f2(a1)),f319(f319(f30(a1),x73492),x73491))) % 219.27/219.53 [7789]~P1(f319(f55(x77892),f234(f932(x77892,a923))))+~P1(f319(f55(x77891),f234(f932(x77891,a923))))+P1(f319(f55(f931(x77891,x77892)),f234(f932(f931(x77891,x77892),a923)))) % 219.27/219.53 [7790]~P1(f319(f55(x77902),f234(f932(x77902,a923))))+~P1(f319(f55(x77901),f234(f932(x77901,a923))))+P1(f319(f55(f933(x77901,x77902)),f234(f932(f933(x77901,x77902),a923)))) % 219.27/219.53 [7862]~P1(f319(f319(f227(a925),f319(a104,f2(a925))),x78621))+~P1(f319(f319(f227(a925),f319(a104,f2(a925))),x78622))+P1(f319(f319(f227(a925),x78621),f319(f319(f75(a925),x78622),x78621))) % 219.27/219.53 [7863]~P1(f319(f319(f227(a925),f319(a104,f2(a925))),x78631))+~P1(f319(f319(f227(a925),f319(a104,f2(a925))),x78632))+P1(f319(f319(f227(a925),x78631),f319(f319(f75(a925),x78631),x78632))) % 219.27/219.53 [7896]E(f319(f29(x78961),f234(f932(x78961,a923))),f319(a104,f2(a925)))+P1(f319(f55(x78962),f234(f932(x78962,a923))))+~P1(f319(f55(f932(x78962,x78961)),f234(f932(f932(x78962,x78961),a923)))) % 219.27/219.53 [8022]~P1(f319(f319(f226(a925),f319(a104,f2(a925))),x80221))+~P1(f319(f319(f226(a925),f319(a104,f2(a925))),x80222))+P1(f319(f319(f226(a925),f319(a104,f2(a925))),f319(f319(f75(a925),x80221),x80222))) % 219.27/219.53 [8023]~P1(f319(f319(f227(a925),f319(a104,f2(a925))),x80232))+~P1(f319(f319(f227(a925),f319(a104,f2(a925))),x80231))+P1(f319(f319(f227(a925),f319(a104,f2(a925))),f319(f319(f75(a925),x80231),x80232))) % 219.27/219.53 [8370]~P113(x83701)+P41(a925,x83701,x83702)+~P1(f319(f319(f226(x83701),f319(x83702,f374(x83702,x83701))),f319(x83702,f319(a104,f374(x83702,x83701))))) % 219.27/219.53 [8712]E(x87121,f105(x87122))+~P1(f319(f129(x87122),x87121))+E(f169(x87122,f319(f319(f8(a923,a923,x87122),a314),f319(f319(f7(x87122,x87122,a923),a316),f136(x87122,x87121))),x87121),f106(x87122,x87121)) % 219.27/219.53 [8810]~P42(x88102)+~P42(x88101)+E(f319(f302(a925,a1,f92(a1)),f319(f319(f102(f932(a925,a923)),f319(f302(a1,a925,a96),x88101)),f319(f302(a1,a925,a96),x88102))),f319(f319(f102(f932(a1,a923)),x88101),x88102)) % 219.27/219.53 [8811]~P42(x88112)+~P42(x88111)+E(f319(f302(a925,a1,f92(a1)),f319(f319(f93(f932(a925,a923)),f319(f302(a1,a925,a96),x88111)),f319(f302(a1,a925,a96),x88112))),f319(f319(f93(f932(a1,a923)),x88111),x88112)) % 219.27/219.53 [9486]~P99(x94861)+~E(f319(f95(x94861),x94862),f72(x94861))+P29(x94861,f319(f95(x94861),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f73(a1),x94862)))) % 219.27/219.53 [9732]~P99(x97321)+E(f319(f95(x97321),x97322),f72(x97321))+~P29(x97321,f319(f95(x97321),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f73(a1),x97322)))) % 219.27/219.53 [10518]E(x105181,f2(a1))+E(x105182,f2(a1))+E(f319(f250(a1,a1,a1,a1,f25(a1),f319(f75(a1),f76(a1,x105182))),f319(f319(f319(f86(f931(a1,a1)),f319(f319(a316,f76(a1,x105181)),f76(a1,x105182))),f47(x105181,x105182)),f319(f319(f249(a1,a1,f931(a1,a1)),f319(f319(f18(a1,f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),f319(f319(f8(f932(a1,f932(f931(a1,a1),f931(a1,a1))),f932(f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),a1),f18(a1,f931(a1,a1),f931(a1,a1))),f319(f319(f8(f931(a1,a1),f932(a1,f932(f931(a1,a1),f931(a1,a1))),a1),f319(f7(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f319(f319(f8(a923,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f86(f931(a1,a1))),f319(f319(f7(a1,a1,a923),a316),f2(a1))))),f319(f319(f7(a1,a1,f931(a1,a1)),f319(f319(f8(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f73(a1))),f2(a1))))),f319(f319(f7(a1,f932(a1,a1),f932(a1,f931(a1,a1))),f319(f319(f8(f932(a1,f931(a1,a1)),f932(f932(a1,a1),f932(a1,f931(a1,a1))),a1),f8(a1,f931(a1,a1),a1)),f319(f319(f8(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f319(f319(f7(a1,a1,a1),f319(f319(f8(a1,f932(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f319(f23(a1),f319(f69(a1),x105182))))),f47(x105181,x105182)))),f40(x105181,x105182)) % 219.27/219.53 [10519]E(x105191,f2(a1))+E(x105192,f2(a1))+E(f319(f250(a1,a1,a1,a1,f25(a1),f319(f75(a1),f76(a1,x105192))),f319(f319(f319(f86(f931(a1,a1)),f319(f319(a318,f319(f319(a317,f319(f319(f227(a1),f2(a1)),x105192)),f319(f319(f226(a1),f2(a1)),x105191))),f319(f319(a317,f319(f319(f227(a1),x105192),f2(a1))),f319(f319(f227(a1),x105191),f2(a1))))),f47(x105191,x105192)),f319(f319(f249(a1,a1,f931(a1,a1)),f319(f319(f18(a1,f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),f319(f319(f8(f932(a1,f932(f931(a1,a1),f931(a1,a1))),f932(f932(a1,f931(a1,a1)),f932(a1,f931(a1,a1))),a1),f18(a1,f931(a1,a1),f931(a1,a1))),f319(f319(f8(f931(a1,a1),f932(a1,f932(f931(a1,a1),f931(a1,a1))),a1),f319(f7(a1,f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),f319(f319(f8(a923,f932(f931(a1,a1),f932(f931(a1,a1),f931(a1,a1))),a1),f86(f931(a1,a1))),f319(f319(f7(a1,a1,a923),a316),f2(a1))))),f319(f319(f7(a1,a1,f931(a1,a1)),f319(f319(f8(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f73(a1))),f2(a1))))),f319(f319(f7(a1,f932(a1,a1),f932(a1,f931(a1,a1))),f319(f319(f8(f932(a1,f931(a1,a1)),f932(f932(a1,a1),f932(a1,f931(a1,a1))),a1),f8(a1,f931(a1,a1),a1)),f319(f319(f8(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f319(f319(f7(a1,a1,a1),f319(f319(f8(a1,f932(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f319(f23(a1),f319(f69(a1),x105192))))),f47(x105191,x105192)))),f40(x105191,x105192)) % 219.27/219.53 [5919]~P126(x59191)+~P99(x59191)+E(f319(f69(x59191),f319(f319(f236(x59191),f319(f95(x59191),a89)),x59192)),f72(x59191)) % 219.27/219.53 [6420]~P145(x64201)+~P1(f319(f319(f227(a1),x64202),f2(a1)))+E(f319(f73(x64201),f319(f92(x64201),f319(a96,f319(f73(a1),x64202)))),f319(f94(x64201),x64202)) % 219.27/219.53 [6624]P1(f319(f319(f226(a91),x66241),f72(a91)))+E(f319(f319(f74(a91),f72(a91)),f264(x66241,f319(f319(f30(a91),x66242),x66241))),f264(x66241,x66242))+P1(f319(f319(f227(a91),x66242),x66241)) % 219.27/219.53 [7235]~P98(x72351)+~P1(f319(f319(f321(x72351),x72352),f101(x72351)))+~E(f319(f319(f74(x72351),f319(f319(f74(x72351),f72(x72351)),x72352)),x72352),f2(x72351)) % 219.27/219.53 [7350]~P1(f319(f319(f226(a1),x73502),f2(a1)))+~P1(f319(f319(f227(a1),x73501),f2(a1)))+E(f319(f243(a1,a1),f319(a45,f41(f319(f73(a1),x73501),f319(f73(a1),x73502)))),f319(f319(f30(a1),x73501),x73502)) % 219.27/219.53 [7367]~P1(f319(f319(f226(a1),x73672),f2(a1)))+~P1(f319(f319(f227(a1),x73671),f2(a1)))+E(f319(f248(a1,a1),f319(a45,f41(f319(f73(a1),x73671),f319(f73(a1),x73672)))),f39(a1,x73671,x73672)) % 219.27/219.53 [7375]~P1(f319(f319(f227(a1),x73752),f2(a1)))+E(f319(f243(a1,a1),f319(a45,f44(f319(f73(a1),x73751),f319(f73(a1),x73752)))),f319(f319(f30(a1),x73751),x73752))+~P1(f319(f319(f227(a1),f2(a1)),x73751)) % 219.27/219.53 [7393]~P1(f319(f319(f227(a1),x73932),f2(a1)))+E(f319(f248(a1,a1),f319(a45,f44(f319(f73(a1),x73931),f319(f73(a1),x73932)))),f39(a1,x73931,x73932))+~P1(f319(f319(f227(a1),f2(a1)),x73931)) % 219.27/219.53 [7446]E(f319(f319(f30(a1),f319(f319(f236(a1),x74461),x74462)),x74461),f319(f319(f236(a1),x74461),f319(f319(f23(a925),x74462),f319(a104,f2(a925)))))+~P1(f319(f319(f227(a925),f2(a925)),x74462))+~P1(f319(f319(f227(a1),f2(a1)),x74461)) % 219.27/219.53 [7548]~P1(f319(f319(f227(a925),f2(a925)),x75481))+~P1(f319(f319(f227(a925),f2(a925)),x75482))+P1(f319(f319(f227(a925),f319(f319(f23(a925),x75481),x75482)),x75481)) % 219.27/219.53 [7549]~P1(f319(f319(f227(a925),f2(a925)),x75491))+~P1(f319(f319(f227(a925),f72(a925)),x75492))+P1(f319(f319(f227(a925),f319(f319(f30(a925),x75491),x75492)),x75491)) % 219.27/219.53 [7550]~P1(f319(f319(f227(a1),f2(a1)),x75501))+~P1(f319(f319(f227(a1),f72(a1)),x75502))+P1(f319(f319(f227(a1),f319(f319(f30(a1),x75501),x75502)),x75501)) % 219.27/219.53 [7685]E(x76851,f2(a925))+~E(x76852,f2(a1))+~P1(f319(f319(f227(a1),f2(a1)),f319(f319(f236(a1),f319(f69(a1),x76852)),x76851))) % 219.27/219.53 [8054]~P1(f319(x80541,x80542))+P1(f319(x80541,f2(a925)))+E(f319(a104,f230(a925,f319(f319(f8(a925,a923,a925),x80541),a104))),f230(a925,x80541)) % 219.27/219.53 [8103]~E(x81032,f105(f926(x81031)))+E(f319(f181(f926(f926(x81031))),f171(x81031,x81032)),f2(a925))+~P14(a925,f319(f160(a925),f319(f319(f146(f926(x81031),a925),f181(f926(x81031))),x81032))) % 219.27/219.53 [8357]P1(f319(x83571,x83572))+~P1(f319(x83571,f319(a99,f590(x83571,x83572))))+~P1(f319(f319(f321(f932(f931(a925,a925),a923)),x83572),a90)) % 219.27/219.53 [8374]E(x83741,f105(f926(x83742)))+E(f319(f181(f926(x83742)),f319(f319(f156(f926(x83742)),x83741),f2(a925))),f319(f181(f926(f926(x83742))),f171(x83742,x83741)))+~P14(a925,f319(f160(a925),f319(f319(f146(f926(x83742),a925),f181(f926(x83742))),x83741))) % 219.27/219.53 [8517]~P39(x85171,x85172)+~P40(x85171,x85172)+P39(x85171,f319(f319(f23(f932(f931(x85171,x85171),a923)),x85172),f299(x85171,f180(f932(f931(x85171,x85171),a923))))) % 219.27/219.53 [9097]~P1(f319(f55(x90971),f319(f254(x90971),x90972)))+~P1(f319(f55(x90971),f234(f932(x90971,a923))))+P1(f319(f55(x90971),f319(f254(x90971),f319(f319(f8(a923,a923,x90971),a314),x90972)))) % 219.27/219.53 [9163]E(f319(f319(f244(a925,a925),f319(a104,f319(f319(f30(a925),f319(f319(f23(a925),x91631),x91632)),x91632))),f39(a925,f319(f319(f23(a925),x91631),x91632),x91632)),f79(f931(a925,a925),f42(x91631,x91632)))+~P1(f319(f319(f227(a925),f2(a925)),x91632))+~P1(f319(f319(f226(a925),x91632),x91631)) % 219.27/219.53 [9452]~P1(f319(f55(x94521),f319(f254(x94521),x94522)))+P1(f319(f55(x94521),f234(f932(x94521,a923))))+~P1(f319(f55(x94521),f319(f254(x94521),f319(f319(f8(a923,a923,x94521),a314),x94522)))) % 219.27/219.53 [10197]P28(x101971,x101972)+~P38(x101971,f319(f243(f932(f931(x101971,x101971),a923),f932(f931(x101971,x101971),a923)),x101972))+~P1(f319(f319(f226(f932(f931(x101971,x101971),a923)),f319(f319(f281(x101971,x101971,x101971),f319(f243(f932(f931(x101971,x101971),a923),f932(f931(x101971,x101971),a923)),x101972)),f319(f248(f932(f931(x101971,x101971),a923),f932(f931(x101971,x101971),a923)),x101972))),f319(f243(f932(f931(x101971,x101971),a923),f932(f931(x101971,x101971),a923)),x101972))) % 219.27/219.53 [10295]~E(f292(a925,f279(a925),f319(f319(f18(a925,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),a925),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),a925),f319(f8(a923,f932(a923,a923),a925),a317)),f279(a925)))),f319(f319(f8(f932(a925,a923),f932(a925,a923),a925),f319(f8(a923,a923,a925),a314)),f319(f7(a925,a925,a923),f279(a925)))),x102952,x102951),f180(f932(a925,a923)))+~P1(f319(f319(f279(a925),x102952),x102951))+P1(f319(f319(f279(a925),x102951),x102952)) % 219.27/219.53 [10296]~E(f289(a925,f279(a925),f319(f319(f18(a925,f932(a925,a923),f932(a925,a923)),f319(f319(f8(f932(a925,f932(a923,a923)),f932(f932(a925,a923),f932(a925,a923)),a925),f18(a925,a923,a923)),f319(f319(f8(f932(a925,a923),f932(a925,f932(a923,a923)),a925),f319(f8(a923,f932(a923,a923),a925),a317)),f279(a925)))),f319(f319(f8(f932(a925,a923),f932(a925,a923),a925),f319(f8(a923,a923,a925),a314)),f319(f7(a925,a925,a923),f279(a925)))),x102962,x102961),f180(f932(a925,a923)))+~P1(f319(f319(f279(a925),x102962),x102961))+P1(f319(f319(f279(a925),x102961),x102962)) % 219.27/219.53 [7476]~P1(f319(f319(f227(a925),f2(a925)),x74762))+P1(f319(f319(f227(a925),x74761),x74762))+E(f319(a104,f319(f319(f30(a925),f319(f319(f23(a925),x74761),x74762)),x74762)),f319(f319(f30(a925),x74761),x74762)) % 219.27/219.53 [7612]~P1(f319(f319(f227(a925),f2(a925)),x76122))+~P1(f319(f319(f226(a925),x76122),x76121))+E(f319(a104,f319(f319(f30(a925),f319(f319(f23(a925),x76121),x76122)),x76122)),f319(f319(f30(a925),x76121),x76122)) % 219.27/219.53 [8581]~P99(x85811)+~P98(x85811)+~P29(x85811,f319(f95(x85811),f319(f319(f23(a1),f319(f319(f74(a1),x85812),x85812)),a89))) % 219.27/219.53 [9357]E(x93571,f2(a925))+E(f319(f319(f249(a925,a925,f931(a925,a925)),f319(f319(f8(a925,f932(a925,f931(a925,a925)),a925),f244(a925,a925)),a104)),f79(f931(a925,a925),f42(f319(f319(f23(a925),x93572),x93571),x93571))),f79(f931(a925,a925),f42(x93572,x93571)))+P1(f319(f319(f227(a925),x93572),x93571)) % 219.27/219.53 [9540]~P39(x95401,x95402)+~P56(x95401,x95402)+P1(f319(f319(f226(f932(f931(x95401,x95401),a923)),f319(f319(f281(x95401,x95401,x95401),f319(f278(x95401,x95401),x95402)),x95402)),x95402)) % 219.27/219.53 [9798]P1(f319(x97982,f663(x97982,x97981)))+P1(f319(x97981,f663(x97982,x97981)))+E(f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x97981)),f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x97982))) % 219.27/219.53 [9802]~P1(f319(x98022,f663(x98022,x98021)))+~P1(f319(x98021,f663(x98022,x98021)))+E(f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x98021)),f319(f254(a1),f319(f319(f18(a1,a923,a923),f319(f319(f8(a923,f932(a923,a923),a1),a317),f319(f226(a1),f2(a1)))),x98022))) % 219.27/219.53 [7820]~P73(x78201)+~P99(x78201)+E(f319(f319(f283(x78201),x78202),f319(f95(x78201),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))),x78202) % 219.27/219.53 [9485]~P99(x94851)+~E(f319(f95(x94851),x94852),f72(x94851))+P29(x94851,f319(f95(x94851),f319(f319(f74(a1),x94852),f319(f73(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.27/219.53 [9673]~P144(x96731)+~E(x96732,f72(x96731))+E(f319(f319(f236(x96731),x96732),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f72(x96731)) % 219.27/219.53 [9674]~P144(x96741)+~E(x96742,f2(x96741))+E(f319(f319(f236(x96741),x96742),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f2(x96741)) % 219.27/219.53 [9689]~P144(x96891)+~E(x96892,f319(f73(x96891),f72(x96891)))+E(f319(f319(f236(x96891),x96892),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f72(x96891)) % 219.27/219.53 [9733]~P99(x97331)+E(f319(f95(x97331),x97332),f72(x97331))+~P29(x97331,f319(f95(x97331),f319(f319(f74(a1),x97332),f319(f73(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.27/219.53 [10138]~P126(x101382)+E(x101381,f2(x101382))+P1(f319(f319(f227(x101382),f2(x101382)),f319(f319(f236(x101382),x101381),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.27/219.53 [10196]~P126(x101962)+~E(x101961,f2(x101962))+~P1(f319(f319(f227(x101962),f2(x101962)),f319(f319(f236(x101962),x101961),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.27/219.53 [10232]P1(f319(f319(f226(a1),x102321),f2(a1)))+P1(f319(f319(f227(a1),x102322),x102321))+E(f319(f37(x102321),f41(x102322,f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102321))),f41(x102322,x102321)) % 219.27/219.53 [10233]~P1(f319(f319(f227(a1),f2(a1)),x102331))+P1(f319(f319(f227(a1),x102332),x102331))+E(f319(f37(x102331),f41(x102332,f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102331))),f41(x102332,x102331)) % 219.27/219.53 [10234]P1(f319(f319(f226(a1),x102341),f2(a1)))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),x102342),x102341)))+E(f319(f37(x102341),f44(x102342,f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102341))),f44(x102342,x102341)) % 219.27/219.53 [10235]~P1(f319(f319(f227(a1),f2(a1)),x102351))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),x102352),x102351)))+E(f319(f37(x102351),f44(x102352,f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102351))),f44(x102352,x102351)) % 219.27/219.53 [10236]~P149(x102361)+~P1(f319(f319(f226(a1),f2(a1)),x102362))+E(f319(f92(x102361),f319(a96,f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x102362))),f319(f319(f74(x102361),f319(f92(x102361),f319(a96,x102362))),f319(f92(x102361),f319(a96,x102362)))) % 219.27/219.53 [5253]~P151(x52531,x52533,x52532)+~E(x52533,f2(a1))+P1(f319(x52531,x52532)) % 219.27/219.53 [5383]~P4(x53831)+~P14(x53831,x53833)+P14(x53831,f162(x53831,x53832,x53833)) % 219.27/219.53 [5384]~P4(x53841)+~P14(x53841,x53843)+P14(x53841,f169(x53841,x53842,x53843)) % 219.27/219.53 [4946]~P69(x49462)+~E(x49463,f319(f73(x49462),x49461))+E(x49461,f319(f73(x49462),x49463)) % 219.27/219.53 [4948]~P69(x49481)+~E(f319(f73(x49481),x49483),x49482)+E(f319(f73(x49481),x49482),x49483) % 219.27/219.53 [5027]~P4(x50273)+E(x50271,x50272)+~E(f319(f296(x50273),x50271),f319(f296(x50273),x50272)) % 219.27/219.53 [5028]~P4(x50283)+E(x50281,x50282)+~E(f319(f274(x50283),x50281),f319(f274(x50283),x50282)) % 219.27/219.53 [5029]~P4(x50293)+E(x50291,x50292)+~E(f319(f275(x50293),x50291),f319(f275(x50293),x50292)) % 219.27/219.53 [5030]~P4(x50303)+E(x50301,x50302)+~E(f319(f293(x50303),x50301),f319(f293(x50303),x50302)) % 219.27/219.53 [5031]~P96(x50313)+E(x50311,x50312)+~E(f319(f73(x50313),x50311),f319(f73(x50313),x50312)) % 219.27/219.53 [5032]~P69(x50323)+E(x50321,x50322)+~E(f319(f73(x50323),x50321),f319(f73(x50323),x50322)) % 219.27/219.53 [5033]~P110(x50333)+E(x50331,x50332)+~E(f319(f92(x50333),x50331),f319(f92(x50333),x50332)) % 219.27/219.53 [5034]~P98(x50343)+E(x50341,x50342)+~E(f319(f94(x50343),x50341),f319(f94(x50343),x50342)) % 219.27/219.53 [5136]~P5(x51361)+~P1(f319(x51362,x51363))+P1(f319(f50(x51361),x51362)) % 219.27/219.53 [5173]~P5(x51733)+P1(f319(x51731,x51732))+~P1(f319(f51(x51733),x51731)) % 219.27/219.53 [5273]~P152(x52731,x52732,x52733)+~E(x52732,f2(a1))+P1(f319(x52731,f2(a1))) % 219.27/219.53 [5309]~P114(x53092)+~P1(f319(x53091,x53093))+P1(f319(x53091,f230(x53092,x53091))) % 219.27/219.53 [5316]~E(x53161,f2(a925))+E(f328(x53161,x53162,x53163),f180(f932(x53163,a923)))+~E(f319(f29(x53163),x53162),f319(a104,x53161)) % 219.27/219.53 [5467]~E(x54672,f2(a925))+E(f319(f243(a925,a925),x54671),f2(a925))+~P1(f319(f42(x54673,x54672),x54671)) % 219.27/219.53 [5504]P1(f319(x55041,x55042))+~E(x55043,f319(f92(a1),x55042))+~P1(f319(x55041,f319(a96,x55043))) % 219.27/219.53 [5983]~E(x59833,f2(a925))+~P1(f319(x59831,x59832))+P1(f319(x59831,f39(a925,x59832,x59833))) % 219.27/219.53 [6040]~P114(x60401)+~P1(f319(x60402,x60403))+~P1(f319(f319(f227(x60401),x60403),f230(x60401,x60402))) % 219.27/219.53 [6223]~P111(x62232)+~P111(x62231)+E(f123(x62231,x62232,f124(x62231,x62233),f124(x62232,x62233)),f124(f931(x62231,x62232),x62233)) % 219.27/219.53 [6401]~E(x64013,f2(a925))+P1(f319(x64011,x64012))+~P1(f319(x64011,f39(a925,x64012,x64013))) % 219.27/219.53 [6413]~P6(x64131)+~P1(f319(f319(f226(x64131),x64132),f319(x64133,x64132)))+P1(f319(f319(f226(x64131),x64132),f88(x64131,x64133))) % 219.27/219.53 [6898]E(x68981,f180(f932(x68982,a923)))+~P1(f319(f55(x68982),x68981))+P1(f319(f56(x68982,x68983,x68981),f870(x68983,x68981,x68982))) % 219.27/219.53 [7092]E(x70921,f2(a925))+~P1(f319(x70922,f518(x70921,x70923,x70922)))+P1(f319(x70922,f39(a925,x70923,x70921))) % 219.27/219.53 [7200]~P6(x72001)+~P1(f319(f319(f226(x72001),x72002),f434(x72003,x72002,x72001)))+P1(f319(f319(f226(x72001),x72002),f32(x72001,x72003))) % 219.27/219.53 [7201]~P6(x72011)+~P1(f319(f319(f226(x72011),x72012),f710(x72012,x72013,x72011)))+P1(f319(f319(f226(x72011),x72012),f32(x72011,x72013))) % 219.27/219.53 [7203]~P1(f319(x72031,x72032))+~P1(f319(x72031,f518(x72033,x72032,x72031)))+P1(f319(x72031,f39(a925,x72032,x72033))) % 219.27/219.53 [7305]E(x73051,f105(x73052))+E(f319(f319(f143(x73052),f711(x73053,x73051,x73052)),f714(x73053,x73051,x73052)),x73051)+~P1(f319(f319(f321(f926(x73052)),x73051),f153(x73052,x73053))) % 219.27/219.53 [7337]~P145(x73371)+~P1(f319(f319(f321(x73371),x73372),f101(x73371)))+P1(f319(f319(f321(x73371),f319(f319(f236(x73371),x73372),x73373)),f101(x73371))) % 219.27/219.53 [7657]P38(x76571,x76572)+~P1(f319(f319(f321(x76571),x76573),f629(x76572,x76571)))+P1(f319(f319(f321(x76571),f660(x76572,x76571,x76573)),f629(x76572,x76571))) % 219.27/219.53 [7924]E(x79241,f105(x79242))+~P1(f319(f319(f321(f926(x79242)),x79241),f153(x79242,x79243)))+P1(f319(f319(f321(f926(x79242)),f714(x79243,x79241,x79242)),f153(x79242,x79243))) % 219.27/219.53 [7976]E(x79761,f2(a925))+E(f319(f319(f74(a925),f319(f319(f75(a925),x79761),f519(x79761,x79762,x79763))),f518(x79761,x79762,x79763)),x79762)+P1(f319(x79763,f39(a925,x79762,x79761))) % 219.27/219.53 [8017]~P1(f319(x80173,x80172))+E(f319(f319(f74(a925),f319(f319(f75(a925),x80171),f519(x80171,x80172,x80173))),f518(x80171,x80172,x80173)),x80172)+P1(f319(x80173,f39(a925,x80172,x80171))) % 219.27/219.53 [8160]P1(f319(f319(f227(a1),x81601),f508(x81602,x81603,x81601)))+P1(f319(f319(x81603,f319(f319(f30(a1),x81602),x81601)),f39(a1,x81602,x81601)))+~P1(f319(f319(f227(a1),x81601),f2(a1))) % 219.27/219.53 [8430]P1(f319(f319(x84302,f319(f319(f30(a1),x84301),x84303)),f39(a1,x84301,x84303)))+~P1(f319(f319(f227(a1),x84303),f2(a1)))+P1(f319(f319(f226(a1),f508(x84301,x84302,x84303)),f2(a1))) % 219.27/219.53 [8616]E(f319(f319(f74(a1),f319(f319(f75(a1),x86161),f509(x86162,x86163,x86161))),f508(x86162,x86163,x86161)),x86162)+P1(f319(f319(x86163,f319(f319(f30(a1),x86162),x86161)),f39(a1,x86162,x86161)))+~P1(f319(f319(f227(a1),x86161),f2(a1))) % 219.27/219.53 [8858]~P1(f319(f319(x88581,f509(x88582,x88581,x88583)),f508(x88582,x88581,x88583)))+P1(f319(f319(x88581,f319(f319(f30(a1),x88582),x88583)),f39(a1,x88582,x88583)))+~P1(f319(f319(f227(a1),x88583),f2(a1))) % 219.27/219.53 [9110]~P4(x91101)+~P14(x91101,x91103)+P14(x91101,f141(x91101,x91101,f5(x91101),x91102,x91103)) % 219.27/219.53 [9618]~P130(x96182)+E(x96181,f2(x96182))+~P1(f319(f319(f226(x96182),f319(f319(f74(x96182),f319(f319(f75(x96182),x96183),x96183)),f319(f319(f75(x96182),x96181),x96181))),f2(x96182))) % 219.27/219.53 [9619]~P130(x96192)+E(x96191,f2(x96192))+~P1(f319(f319(f226(x96192),f319(f319(f74(x96192),f319(f319(f75(x96192),x96191),x96191)),f319(f319(f75(x96192),x96193),x96193))),f2(x96192))) % 219.27/219.53 [10450]~P126(x104501)+~P1(f319(f319(f227(x104501),x104502),f2(x104501)))+P1(f319(f319(f227(x104501),f319(f319(f236(x104501),x104502),f319(a104,f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x104503)))),f2(x104501))) % 219.27/219.53 [10459]~P126(x104592)+E(x104591,f2(x104592))+~P1(f319(f319(f226(x104592),f319(f319(f74(x104592),f319(f319(f236(x104592),x104593),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x104592),x104591),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f2(x104592))) % 219.27/219.53 [10460]~P126(x104602)+E(x104601,f2(x104602))+~P1(f319(f319(f226(x104602),f319(f319(f74(x104602),f319(f319(f236(x104602),x104601),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x104602),x104603),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f2(x104602))) % 219.27/219.53 [4982]~E(x49822,x49823)+~P69(x49821)+E(f319(f319(f23(x49821),x49822),x49823),f2(x49821)) % 219.27/219.53 [4983]~E(x49832,x49833)+~P70(x49831)+E(f319(f319(f23(x49831),x49832),x49833),f2(x49831)) % 219.27/219.53 [4996]~P148(x49961)+~E(x49963,f2(x49961))+E(f319(f319(f74(x49961),x49962),x49963),x49962) % 219.27/219.53 [5013]~P147(x50131)+~E(x50133,f2(x50131))+E(f319(f319(f75(x50131),x50132),x50133),f2(x50131)) % 219.27/219.53 [5014]~P147(x50141)+~E(x50142,f2(x50141))+E(f319(f319(f75(x50141),x50142),x50143),f2(x50141)) % 219.27/219.53 [5036]~E(x50363,f105(x50361))+~E(x50362,f105(x50361))+E(f319(f319(f126(x50361),x50362),x50363),f105(x50361)) % 219.27/219.53 [5126]~P148(x51262)+E(x51261,f2(x51262))+~E(f319(f319(f74(x51262),x51263),x51261),x51263) % 219.27/219.53 [5127]~P69(x51271)+~E(x51272,f319(f73(x51271),x51273))+E(f319(f319(f74(x51271),x51272),x51273),f2(x51271)) % 219.27/219.53 [5134]E(x51341,f105(x51342))+E(x51343,f2(a925))+~E(f319(f319(f167(x51342),x51343),x51341),f105(x51342)) % 219.27/219.53 [5140]~P69(x51403)+E(x51401,x51402)+~E(f319(f319(f23(x51403),x51401),x51402),f2(x51403)) % 219.27/219.53 [5141]~P70(x51413)+E(x51411,x51412)+~E(f319(f319(f23(x51413),x51411),x51412),f2(x51413)) % 219.27/219.53 [5155]~P144(x51552)+E(x51551,f2(x51552))+~E(f319(f319(f236(x51552),x51551),x51553),f2(x51552)) % 219.27/219.53 [5156]~P103(x51562)+E(x51561,f234(x51562))+~E(f319(f319(f93(x51562),x51563),x51561),f234(x51562)) % 219.27/219.53 [5157]~P103(x51572)+E(x51571,f234(x51572))+~E(f319(f319(f93(x51572),x51571),x51573),f234(x51572)) % 219.27/219.53 [5158]~P104(x51582)+E(x51581,f180(x51582))+~E(f319(f319(f102(x51582),x51583),x51581),f180(x51582)) % 219.27/219.53 [5159]~P104(x51592)+E(x51591,f180(x51592))+~E(f319(f319(f102(x51592),x51591),x51593),f180(x51592)) % 219.27/219.53 [5227]~P69(x52272)+E(x52271,f319(f73(x52272),x52273))+~E(f319(f319(f74(x52272),x52271),x52273),f2(x52272)) % 219.27/219.53 [5228]~P69(x52281)+E(f319(f73(x52281),x52282),x52283)+~E(f319(f319(f74(x52281),x52282),x52283),f2(x52281)) % 219.27/219.53 [5230]~E(x52302,x52303)+~P2(x52301)+P1(f319(f319(f226(x52301),x52302),x52303)) % 219.27/219.53 [5232]~E(x52322,x52323)+~P113(x52321)+P1(f319(f319(f226(x52321),x52322),x52323)) % 219.27/219.53 [5333]~P117(x53331)+~E(x53332,f319(f73(x53331),x53333))+E(f319(f319(f75(x53331),x53332),x53332),f319(f319(f75(x53331),x53333),x53333)) % 219.27/219.53 [5341]~P4(x53411)+~P14(x53411,x53413)+P14(x53411,f319(f319(f167(x53411),x53412),x53413)) % 219.27/219.53 [5342]~P4(x53421)+~P14(x53421,x53423)+P14(x53421,f319(f319(f130(x53421),x53422),x53423)) % 219.27/219.53 [5381]E(x53811,x53812)+E(x53813,f2(a925))+~E(f319(f319(f75(a925),x53813),x53811),f319(f319(f75(a925),x53813),x53812)) % 219.27/219.53 [5382]E(x53821,x53822)+E(x53823,f2(a925))+~E(f319(f319(f75(a925),x53821),x53823),f319(f319(f75(a925),x53822),x53823)) % 219.27/219.53 [5460]~E(x54602,x54603)+~P113(x54601)+E(f295(x54601,x54602,x54603),f319(f319(f301(x54601),x54602),f180(f932(x54601,a923)))) % 219.27/219.53 [5502]~E(x55021,x55022)+~P4(x55023)+~P1(f319(f319(f227(x55023),x55021),x55022)) % 219.27/219.53 [5503]~E(x55031,x55032)+~P113(x55033)+~P1(f319(f319(f227(x55033),x55031),x55032)) % 219.27/219.53 [5515]~P113(x55151)+E(f319(f294(x55151,x55152),x55153),f180(f932(x55151,a923)))+P1(f319(f319(f227(x55151),x55152),x55153)) % 219.27/219.53 [5563]~P113(x55631)+E(f295(x55631,x55632,x55633),f180(f932(x55631,a923)))+P1(f319(f319(f226(x55631),x55632),x55633)) % 219.27/219.53 [5564]~P113(x55641)+E(f297(x55641,x55642,x55643),f180(f932(x55641,a923)))+P1(f319(f319(f227(x55641),x55642),x55643)) % 219.27/219.53 [5565]~P113(x55651)+E(f180(f932(x55651,a923)),f295(x55651,x55652,x55653))+P1(f319(f319(f226(x55651),x55652),x55653)) % 219.27/219.53 [5566]~P113(x55661)+E(f180(f932(x55661,a923)),f297(x55661,x55662,x55663))+P1(f319(f319(f227(x55661),x55662),x55663)) % 219.27/219.53 [5574]~P107(x55741)+~E(f319(f319(f102(x55741),x55742),x55743),x55743)+P1(f319(f319(f226(x55741),x55742),x55743)) % 219.27/219.53 [5575]~P108(x55751)+~E(f319(f319(f93(x55751),x55752),x55753),x55752)+P1(f319(f319(f226(x55751),x55752),x55753)) % 219.27/219.53 [5576]~P4(x55761)+~E(f319(f319(f224(x55761),x55762),x55763),x55762)+P1(f319(f319(f226(x55761),x55762),x55763)) % 219.27/219.53 [5577]~P4(x55771)+~E(f319(f319(f225(x55771),x55772),x55773),x55773)+P1(f319(f319(f226(x55771),x55772),x55773)) % 219.27/219.53 [5596]~P4(x55961)+P14(x55961,x55962)+~P14(x55961,f319(f319(f143(x55961),x55963),x55962)) % 219.27/219.53 [5597]~P4(x55971)+P14(x55971,x55972)+~P14(x55971,f319(f319(f126(x55971),x55973),x55972)) % 219.27/219.53 [5598]~P4(x55981)+P14(x55981,x55982)+~P14(x55981,f319(f319(f126(x55981),x55982),x55983)) % 219.27/219.53 [5663]~P4(x56631)+P1(f319(f319(f226(x56631),x56633),x56632))+P1(f319(f319(f226(x56631),x56632),x56633)) % 219.27/219.53 [5668]~P4(x56681)+P1(f319(f319(f227(x56681),x56683),x56682))+P1(f319(f319(f226(x56681),x56682),x56683)) % 219.27/219.53 [5706]~P107(x57061)+E(f319(f319(f102(x57061),x57062),x57063),x57062)+~P1(f319(f319(f226(x57061),x57063),x57062)) % 219.27/219.53 [5708]~P107(x57081)+E(f319(f319(f102(x57081),x57082),x57083),x57083)+~P1(f319(f319(f226(x57081),x57082),x57083)) % 219.27/219.53 [5709]~P108(x57091)+E(f319(f319(f93(x57091),x57092),x57093),x57093)+~P1(f319(f319(f226(x57091),x57093),x57092)) % 219.27/219.53 [5711]~P108(x57111)+E(f319(f319(f93(x57111),x57112),x57113),x57112)+~P1(f319(f319(f226(x57111),x57112),x57113)) % 219.27/219.53 [5712]~P4(x57121)+E(f319(f319(f224(x57121),x57122),x57123),x57123)+~P1(f319(f319(f226(x57121),x57123),x57122)) % 219.27/219.53 [5714]~P4(x57141)+E(f319(f319(f224(x57141),x57142),x57143),x57142)+~P1(f319(f319(f226(x57141),x57142),x57143)) % 219.27/219.53 [5715]~P4(x57151)+E(f319(f319(f225(x57151),x57152),x57153),x57152)+~P1(f319(f319(f226(x57151),x57153),x57152)) % 219.27/219.53 [5717]~P4(x57171)+E(f319(f319(f225(x57171),x57172),x57173),x57173)+~P1(f319(f319(f226(x57171),x57172),x57173)) % 219.27/219.53 [5724]~P124(x57242)+E(x57241,f2(x57242))+E(f319(f319(f283(x57242),f319(f73(x57242),x57243)),f319(f73(x57242),x57241)),f319(f319(f283(x57242),x57243),x57241)) % 219.27/219.53 [5775]~P113(x57751)+E(f319(f294(x57751,x57752),x57753),f180(f932(x57751,a923)))+~P1(f319(f319(f226(x57751),x57753),x57752)) % 219.27/219.53 [5807]~P113(x58071)+E(f295(x58071,x58072,x58073),f180(f932(x58071,a923)))+~P1(f319(f319(f227(x58071),x58073),x58072)) % 219.27/219.53 [5808]~P113(x58081)+E(f297(x58081,x58082,x58083),f180(f932(x58081,a923)))+~P1(f319(f319(f226(x58081),x58083),x58082)) % 219.27/219.53 [5809]~P113(x58091)+E(f298(x58091,x58092,x58093),f180(f932(x58091,a923)))+~P1(f319(f319(f226(x58091),x58093),x58092)) % 219.27/219.53 [5852]~P114(x58521)+~P1(f319(x58522,x58523))+P1(f319(f319(f226(x58521),f230(x58521,x58522)),x58523)) % 219.27/219.53 [5862]~E(f319(f319(f23(a925),x58621),x58623),x58622)+E(x58621,f319(f319(f74(a925),x58622),x58623))+~P1(f319(f319(f226(a925),x58623),x58621)) % 219.27/219.53 [5863]~E(x58631,f319(f319(f74(a925),x58633),x58632))+E(f319(f319(f23(a925),x58631),x58632),x58633)+~P1(f319(f319(f226(a925),x58632),x58631)) % 219.27/219.53 [5908]~P1(f319(x59081,x59083))+P1(f319(x59081,f354(x59081,x59082)))+~P1(f319(f319(f226(a925),x59083),x59082)) % 219.27/219.53 [5909]~P1(f319(x59091,x59093))+P1(f319(x59091,f360(x59091,x59092)))+~P1(f319(f319(f227(a925),x59093),x59092)) % 219.27/219.53 [5917]~P113(x59171)+~E(f319(f294(x59171,x59172),x59173),f180(f932(x59171,a923)))+~P1(f319(f319(f227(x59171),x59172),x59173)) % 219.27/219.53 [5922]~P2(x59221)+~P1(f319(f319(f227(x59221),x59222),x59223))+P1(f319(f319(f226(x59221),x59222),x59223)) % 219.27/219.53 [5924]~P113(x59241)+~P1(f319(f319(f227(x59241),x59242),x59243))+P1(f319(f319(f226(x59241),x59242),x59243)) % 219.27/219.53 [6033]~P113(x60331)+~E(f295(x60331,x60332,x60333),f180(f932(x60331,a923)))+~P1(f319(f319(f226(x60331),x60332),x60333)) % 219.27/219.53 [6034]~P113(x60341)+~E(f297(x60341,x60342,x60343),f180(f932(x60341,a923)))+~P1(f319(f319(f227(x60341),x60342),x60343)) % 219.27/219.53 [6035]~P113(x60351)+~E(f180(f932(x60351,a923)),f295(x60351,x60352,x60353))+~P1(f319(f319(f226(x60351),x60352),x60353)) % 219.27/219.53 [6036]~P113(x60361)+~E(f180(f932(x60361,a923)),f297(x60361,x60362,x60363))+~P1(f319(f319(f227(x60361),x60362),x60363)) % 219.27/219.53 [6047]P1(f319(x60471,x60472))+~P1(f319(x60471,f361(x60471,x60473)))+~P1(f319(f319(f226(a925),x60472),x60473)) % 219.27/219.53 [6048]P1(f319(x60481,x60482))+~P1(f319(x60481,f366(x60481,x60483)))+~P1(f319(f319(f227(a925),x60482),x60483)) % 219.27/219.53 [6056]~E(x60561,f319(a104,x60563))+P1(f319(f319(f227(a925),x60561),f319(a104,x60562)))+~P1(f319(f319(f227(a925),x60563),x60562)) % 219.27/219.53 [6076]E(x60761,x60762)+~E(f319(f319(f75(a925),x60763),x60761),f319(f319(f75(a925),x60763),x60762))+~P1(f319(f319(f227(a925),f2(a925)),x60763)) % 219.27/219.53 [6136]E(f319(x61361,f355(x61361,x61362,x61363)),f72(a925))+~E(f319(f319(f6(x61363,a925),x61361),x61362),f72(a925))+~P1(f319(f55(x61363),x61362)) % 219.27/219.53 [6153]~P6(x61531)+P1(f319(f319(f226(x61531),x61532),f31(x61531,x61533)))+~P1(f319(f319(f321(x61531),x61532),x61533)) % 219.27/219.53 [6176]~P2(x61761)+~P1(f319(f319(f227(x61761),x61763),x61762))+~P1(f319(f319(f226(x61761),x61762),x61763)) % 219.27/219.53 [6180]~P2(x61801)+~P1(f319(f319(f227(x61801),x61803),x61802))+~P1(f319(f319(f227(x61801),x61802),x61803)) % 219.27/219.53 [6183]~P4(x61831)+~P1(f319(f319(f227(x61831),x61833),x61832))+~P1(f319(f319(f226(x61831),x61832),x61833)) % 219.27/219.53 [6184]~P4(x61841)+~P1(f319(f319(f227(x61841),x61843),x61842))+~P1(f319(f319(f227(x61841),x61842),x61843)) % 219.27/219.53 [6185]~P113(x61851)+~P1(f319(f319(f227(x61851),x61853),x61852))+~P1(f319(f319(f227(x61851),x61852),x61853)) % 219.27/219.53 [6207]~E(x62072,x62073)+~E(x62071,x62072)+E(f282(a925,f279(a925),x62071,x62072),f319(f319(f301(a925),x62073),f180(f932(a925,a923)))) % 219.27/219.53 [6215]~E(f319(x62152,f356(x62152,x62153,x62151)),f2(a925))+E(f319(f319(f6(x62151,a925),x62152),x62153),f2(a925))+~P1(f319(f55(x62151),x62153)) % 219.27/219.53 [6216]~E(f319(x62162,f454(x62162,x62163,x62161)),f72(a925))+E(f319(f319(f9(x62161,a925),x62162),x62163),f72(a925))+~P1(f319(f55(x62161),x62163)) % 219.27/219.53 [6232]~P3(x62321)+~P1(f319(f319(f227(x62321),x62323),x62322))+P1(f319(f319(f321(x62321),x62322),f319(f296(x62321),x62323))) % 219.27/219.53 [6233]~P3(x62331)+~P1(f319(f319(f226(x62331),x62333),x62332))+P1(f319(f319(f321(x62331),x62332),f319(f275(x62331),x62333))) % 219.27/219.53 [6234]~P3(x62341)+~P1(f319(f319(f227(x62341),x62342),x62343))+P1(f319(f319(f321(x62341),x62342),f319(f274(x62341),x62343))) % 219.27/219.53 [6235]~P3(x62351)+~P1(f319(f319(f226(x62351),x62352),x62353))+P1(f319(f319(f321(x62351),x62352),f319(f293(x62351),x62353))) % 219.27/219.53 [6247]E(f319(x62471,f418(x62471,x62472,x62473)),f319(a104,f2(a925)))+~E(f319(f319(f6(x62473,a925),x62471),x62472),f319(a104,f2(a925)))+~P1(f319(f55(x62473),x62472)) % 219.27/219.53 [6328]~P6(x63281)+~P1(f319(f319(f321(x63281),x63283),x63282))+P1(f319(f319(f226(x63281),f32(x63281,x63282)),x63283)) % 219.27/219.53 [6347]~P1(f319(f319(f226(a925),x63471),x63473))+P1(f319(f319(f226(a925),x63471),x63472))+~P1(f319(f319(f226(a925),x63473),x63472)) % 219.27/219.53 [6348]~P1(f319(f319(f226(a1),x63481),x63483))+P1(f319(f319(f226(a1),x63481),x63482))+~P1(f319(f319(f226(a1),x63483),x63482)) % 219.27/219.53 [6368]~P3(x63681)+~P1(f319(f319(f321(x63681),x63683),f319(f275(x63681),x63682)))+P1(f319(f319(f226(x63681),x63682),x63683)) % 219.27/219.53 [6369]~P3(x63691)+~P1(f319(f319(f321(x63691),x63692),f319(f293(x63691),x63693)))+P1(f319(f319(f226(x63691),x63692),x63693)) % 219.27/219.53 [6370]~P3(x63701)+~P1(f319(f319(f321(x63701),x63703),f319(f296(x63701),x63702)))+P1(f319(f319(f227(x63701),x63702),x63703)) % 219.27/219.53 [6371]~P3(x63711)+~P1(f319(f319(f321(x63711),x63712),f319(f274(x63711),x63713)))+P1(f319(f319(f227(x63711),x63712),x63713)) % 219.27/219.53 [6445]~P1(f319(x64451,x64452))+P1(f319(x64451,f800(x64451)))+~P1(f319(f319(f321(x64453),x64452),f234(f932(x64453,a923)))) % 219.27/219.53 [6553]~P113(x65531)+~P41(a925,x65531,x65532)+P1(f319(f319(f226(x65531),f319(x65532,x65533)),f319(x65532,f319(a104,x65533)))) % 219.27/219.53 [6587]~P74(x65871)+P1(f319(f319(f227(x65871),f2(x65871)),f469(x65873,x65872,x65871)))+P1(f319(f319(f226(x65871),x65872),x65873)) % 219.27/219.53 [6588]~P75(x65881)+P1(f319(f319(f227(x65881),f2(x65881)),f788(x65883,x65882,x65881)))+P1(f319(f319(f226(x65881),x65882),x65883)) % 219.27/219.53 [6658]~P68(x66581)+~P1(f319(f319(f226(x66581),x66583),f319(f73(x66581),x66582)))+P1(f319(f319(f226(x66581),x66582),f319(f73(x66581),x66583))) % 219.27/219.53 [6660]~P68(x66601)+~P1(f319(f319(f227(x66601),x66603),f319(f73(x66601),x66602)))+P1(f319(f319(f227(x66601),x66602),f319(f73(x66601),x66603))) % 219.27/219.53 [6672]~P1(f319(f319(f227(a925),x66721),x66723))+~P1(f319(f319(f227(a925),x66723),x66722))+P1(f319(f319(f227(a925),f319(a104,x66721)),x66722)) % 219.27/219.53 [6700]~P129(x67001)+P1(f319(f319(f226(x67001),f319(f92(x67001),x67002)),f319(f92(x67001),x67003)))+~P1(f319(f319(f226(a925),x67002),x67003)) % 219.27/219.53 [6701]~P126(x67011)+P1(f319(f319(f226(x67011),f319(f94(x67011),x67012)),f319(f94(x67011),x67013)))+~P1(f319(f319(f226(a1),x67012),x67013)) % 219.27/219.53 [6703]~P126(x67031)+P1(f319(f319(f227(x67031),f319(f94(x67031),x67032)),f319(f94(x67031),x67033)))+~P1(f319(f319(f227(a1),x67032),x67033)) % 219.27/219.53 [6704]~P129(x67041)+P1(f319(f319(f227(x67041),f319(f92(x67041),x67042)),f319(f92(x67041),x67043)))+~P1(f319(f319(f227(a925),x67042),x67043)) % 219.27/219.53 [6710]~P4(x67101)+E(f319(f319(f102(f932(x67101,a923)),f319(f274(x67101),x67102)),f319(f294(x67101,x67102),x67103)),f319(f274(x67101),x67103))+~P1(f319(f319(f226(x67101),x67102),x67103)) % 219.27/219.53 [6740]~P96(x67401)+~P1(f319(f319(f226(x67401),x67403),x67402))+P1(f319(f319(f226(x67401),f319(f73(x67401),x67402)),f319(f73(x67401),x67403))) % 219.27/219.53 [6742]~P68(x67421)+~P1(f319(f319(f226(x67421),x67423),x67422))+P1(f319(f319(f226(x67421),f319(f73(x67421),x67422)),f319(f73(x67421),x67423))) % 219.27/219.53 [6743]~P68(x67431)+~P1(f319(f319(f227(x67431),x67433),x67432))+P1(f319(f319(f227(x67431),f319(f73(x67431),x67432)),f319(f73(x67431),x67433))) % 219.27/219.53 [6777]~P4(x67771)+E(f319(f319(f102(f932(x67771,a923)),f319(f274(x67771),x67772)),f295(x67771,x67772,x67773)),f319(f293(x67771),x67773))+~P1(f319(f319(f226(x67771),x67772),x67773)) % 219.27/219.53 [6778]~P4(x67781)+E(f319(f319(f102(f932(x67781,a923)),f319(f293(x67781),x67782)),f297(x67781,x67782,x67783)),f319(f293(x67781),x67783))+~P1(f319(f319(f226(x67781),x67782),x67783)) % 219.27/219.53 [6779]~P4(x67791)+E(f319(f319(f102(f932(x67791,a923)),f319(f293(x67791),x67792)),f298(x67791,x67792,x67793)),f319(f274(x67791),x67793))+~P1(f319(f319(f227(x67791),x67792),x67793)) % 219.27/219.53 [6816]~P4(x68161)+E(f319(f319(f102(f932(x68161,a923)),f319(f294(x68161,x68162),x68163)),f319(f275(x68161),x68163)),f319(f275(x68161),x68162))+~P1(f319(f319(f226(x68161),x68162),x68163)) % 219.27/219.53 [6884]~P6(x68841)+~P1(f319(f319(f226(x68841),f319(x68842,x68843)),x68843))+P1(f319(f319(f226(x68841),f87(x68841,x68842)),x68843)) % 219.27/219.53 [6973]~P4(x69731)+E(f319(f319(f102(f932(x69731,a923)),f295(x69731,x69732,x69733)),f319(f296(x69731),x69733)),f319(f275(x69731),x69732))+~P1(f319(f319(f226(x69731),x69732),x69733)) % 219.27/219.53 [6974]~P4(x69741)+E(f319(f319(f102(f932(x69741,a923)),f297(x69741,x69742,x69743)),f319(f296(x69741),x69743)),f319(f296(x69741),x69742))+~P1(f319(f319(f226(x69741),x69742),x69743)) % 219.27/219.53 [6975]~P4(x69751)+E(f319(f319(f102(f932(x69751,a923)),f298(x69751,x69752,x69753)),f319(f275(x69751),x69753)),f319(f296(x69751),x69752))+~P1(f319(f319(f227(x69751),x69752),x69753)) % 219.27/219.53 [6994]P1(f319(x69941,x69942))+~P1(f319(f319(f226(a925),x69942),x69943))+P1(f319(f319(f321(a925),f361(x69941,x69943)),f295(a925,f2(a925),x69943))) % 219.27/219.53 [7028]E(x70281,x70282)+~E(f319(f319(f156(x70283),x70281),f659(x70283,x70282,x70281)),f319(f319(f156(x70283),x70282),f659(x70283,x70282,x70281)))+~E(f319(f181(f926(x70283)),x70281),f319(f181(f926(x70283)),x70282)) % 219.27/219.53 [7033]~E(x70333,f319(f319(f30(a925),x70331),x70332))+~P1(f319(f319(f227(a925),f2(a925)),x70332))+P1(f319(f319(f227(a925),x70331),f319(f319(f75(a925),x70332),f319(a104,x70333)))) % 219.27/219.53 [7049]~P1(f319(x70491,x70493))+~P1(f319(f319(f226(a925),x70493),x70492))+P1(f319(f319(f321(a925),f354(x70491,x70492)),f295(a925,f2(a925),x70492))) % 219.27/219.53 [7090]~P1(f319(x70901,x70903))+P1(f319(x70901,f362(x70901,x70902)))+~P1(f319(f319(f321(a925),x70903),f295(a925,f2(a925),x70902))) % 219.27/219.53 [7109]~P129(x71093)+~P1(f319(f319(f226(x71093),f319(f92(x71093),x71091)),f319(f92(x71093),x71092)))+P1(f319(f319(f226(a925),x71091),x71092)) % 219.27/219.53 [7110]~P126(x71103)+~P1(f319(f319(f226(x71103),f319(f94(x71103),x71101)),f319(f94(x71103),x71102)))+P1(f319(f319(f226(a1),x71101),x71102)) % 219.27/219.53 [7112]~P129(x71123)+~P1(f319(f319(f227(x71123),f319(f92(x71123),x71121)),f319(f92(x71123),x71122)))+P1(f319(f319(f227(a925),x71121),x71122)) % 219.27/219.53 [7113]~P126(x71133)+~P1(f319(f319(f227(x71133),f319(f94(x71133),x71131)),f319(f94(x71133),x71132)))+P1(f319(f319(f227(a1),x71131),x71132)) % 219.27/219.53 [7129]~P129(x71291)+~P1(f319(f319(f227(x71291),f72(x71291)),x71292))+P1(f319(f319(f227(x71291),f72(x71291)),f319(f319(f236(x71291),x71292),f319(a104,x71293)))) % 219.27/219.53 [7132]~P96(x71321)+~P1(f319(f319(f226(x71321),f319(f73(x71321),x71323)),f319(f73(x71321),x71322)))+P1(f319(f319(f226(x71321),x71322),x71323)) % 219.27/219.53 [7133]~P68(x71331)+~P1(f319(f319(f226(x71331),f319(f73(x71331),x71333)),f319(f73(x71331),x71332)))+P1(f319(f319(f226(x71331),x71332),x71333)) % 219.27/219.53 [7134]~P68(x71341)+~P1(f319(f319(f227(x71341),f319(f73(x71341),x71343)),f319(f73(x71341),x71342)))+P1(f319(f319(f227(x71341),x71342),x71343)) % 219.27/219.53 [7158]P1(f319(x71581,x71582))+~P1(f319(x71581,f363(x71581,x71583)))+~P1(f319(f319(f321(a925),x71582),f295(a925,f2(a925),x71583))) % 219.27/219.53 [7178]~P74(x71781)+P1(f319(f319(f227(x71781),f469(x71783,x71782,x71781)),f72(x71781)))+P1(f319(f319(f226(x71781),x71782),x71783)) % 219.27/219.53 [7197]~E(f39(a925,x71973,x71972),f39(a925,x71971,x71972))+E(f319(f319(f74(a925),x71971),f319(f319(f75(a925),x71972),f520(x71971,x71972,x71973))),x71973)+~P1(f319(f319(f226(a925),x71971),x71973)) % 219.27/219.53 [7252]E(f319(f319(f6(x72521,a925),x72522),x72523),f2(a925))+~P1(f319(f55(x72521),x72523))+P1(f319(f319(f321(x72521),f356(x72522,x72523,x72521)),x72523)) % 219.27/219.53 [7253]E(f319(f319(f9(x72531,a925),x72532),x72533),f72(a925))+~P1(f319(f55(x72531),x72533))+P1(f319(f319(f321(x72531),f454(x72532,x72533,x72531)),x72533)) % 219.27/219.53 [7275]~P4(x72751)+~P1(f319(f319(f226(x72751),x72753),x72752))+P1(f319(f319(f226(f932(x72751,a923)),f319(f296(x72751),x72752)),f319(f296(x72751),x72753))) % 219.27/219.53 [7276]~P4(x72761)+~P1(f319(f319(f226(x72761),x72762),x72763))+P1(f319(f319(f226(f932(x72761,a923)),f319(f274(x72761),x72762)),f319(f274(x72761),x72763))) % 219.27/219.53 [7277]~P113(x72771)+~P1(f319(f319(f226(x72771),x72773),x72772))+P1(f319(f319(f226(f932(x72771,a923)),f319(f275(x72771),x72772)),f319(f275(x72771),x72773))) % 219.27/219.53 [7278]~P113(x72781)+~P1(f319(f319(f226(x72781),x72782),x72783))+P1(f319(f319(f226(f932(x72781,a923)),f319(f293(x72781),x72782)),f319(f293(x72781),x72783))) % 219.27/219.53 [7279]~P4(x72791)+~P1(f319(f319(f227(x72791),x72792),x72793))+P1(f319(f319(f227(f932(x72791,a923)),f319(f274(x72791),x72792)),f319(f274(x72791),x72793))) % 219.27/219.53 [7290]~P6(x72901)+P1(f319(f319(f226(x72901),x72902),f32(x72901,x72903)))+P1(f319(f319(f321(x72901),f434(x72903,x72902,x72901)),x72903)) % 219.27/219.53 [7291]~P6(x72911)+P1(f319(f319(f226(x72911),x72912),f32(x72911,x72913)))+P1(f319(f319(f321(x72911),f710(x72912,x72913,x72911)),x72913)) % 219.27/219.53 [7297]~P68(x72971)+P1(f319(f319(f226(x72971),f319(f319(f23(x72971),x72972),x72973)),f2(x72971)))+~P1(f319(f319(f226(x72971),x72972),x72973)) % 219.27/219.53 [7298]~P68(x72981)+P1(f319(f319(f227(x72981),f319(f319(f23(x72981),x72982),x72983)),f2(x72981)))+~P1(f319(f319(f227(x72981),x72982),x72983)) % 219.27/219.53 [7340]P1(f319(x73401,x73402))+P1(f319(f319(f226(a925),f363(x73401,x73403)),x73403))+~P1(f319(f319(f321(a925),x73402),f295(a925,f2(a925),x73403))) % 219.27/219.53 [7382]~E(f319(f319(f6(x73821,a925),x73822),x73823),f72(a925))+~P1(f319(f55(x73821),x73823))+P1(f319(f319(f321(x73821),f355(x73822,x73823,x73821)),x73823)) % 219.27/219.53 [7383]~P1(f319(x73831,x73833))+P1(f319(f319(f226(a925),f362(x73831,x73832)),x73832))+~P1(f319(f319(f321(a925),x73833),f295(a925,f2(a925),x73832))) % 219.27/219.53 [7422]~P6(x74221)+P1(f319(f319(f321(x74221),f428(x74223,x74222,x74221)),x74222))+P1(f319(f319(f226(x74221),f31(x74221,x74222)),x74223)) % 219.27/219.53 [7423]~P6(x74231)+P1(f319(f319(f321(x74231),f723(x74233,x74232,x74231)),x74232))+P1(f319(f319(f226(x74231),f31(x74231,x74232)),x74233)) % 219.27/219.53 [7457]~E(f319(f319(f6(x74571,a925),x74572),x74573),f319(a104,f2(a925)))+~P1(f319(f55(x74571),x74573))+P1(f319(f319(f321(x74571),f418(x74572,x74573,x74571)),x74573)) % 219.27/219.53 [7468]E(x74681,f2(a925))+P1(f319(x74682,f39(a925,x74683,x74681)))+P1(f319(f319(f227(a925),f518(x74681,x74683,x74682)),x74681)) % 219.27/219.53 [7577]~P1(f319(x75771,x75772))+P1(f319(x75771,f39(a925,x75772,x75773)))+P1(f319(f319(f227(a925),f518(x75773,x75772,x75771)),x75773)) % 219.27/219.53 [7689]E(x76891,f105(x76892))+~P1(f319(f319(f321(f926(x76892)),x76891),f153(x76892,x76893)))+P1(f319(f319(f321(x76892),f711(x76893,x76891,x76892)),x76893)) % 219.27/219.53 [7711]~P4(x77111)+E(f319(f319(f102(f932(x77111,a923)),f319(f319(f301(x77111),x77112),f180(f932(x77111,a923)))),f298(x77111,x77112,x77113)),f319(f294(x77111,x77112),x77113))+~P1(f319(f319(f227(x77111),x77112),x77113)) % 219.27/219.53 [7732]~P4(x77321)+E(f319(f319(f102(f932(x77321,a923)),f319(f319(f301(x77321),x77322),f180(f932(x77321,a923)))),f297(x77321,x77322,x77323)),f295(x77321,x77322,x77323))+~P1(f319(f319(f226(x77321),x77322),x77323)) % 219.27/219.53 [7842]~P4(x78421)+P1(f319(f319(f226(x78421),x78422),x78423))+~P1(f319(f319(f226(f932(x78421,a923)),f319(f296(x78421),x78423)),f319(f296(x78421),x78422))) % 219.27/219.53 [7843]~P113(x78431)+P1(f319(f319(f226(x78431),x78432),x78433))+~P1(f319(f319(f226(f932(x78431,a923)),f319(f275(x78431),x78433)),f319(f275(x78431),x78432))) % 219.27/219.53 [7844]~P4(x78441)+P1(f319(f319(f226(x78441),x78442),x78443))+~P1(f319(f319(f226(f932(x78441,a923)),f319(f274(x78441),x78442)),f319(f274(x78441),x78443))) % 219.27/219.53 [7845]~P113(x78451)+P1(f319(f319(f226(x78451),x78452),x78453))+~P1(f319(f319(f226(f932(x78451,a923)),f319(f293(x78451),x78452)),f319(f293(x78451),x78453))) % 219.27/219.53 [7846]~P4(x78461)+P1(f319(f319(f227(x78461),x78462),x78463))+~P1(f319(f319(f227(f932(x78461,a923)),f319(f274(x78461),x78462)),f319(f274(x78461),x78463))) % 219.27/219.53 [7869]~P68(x78691)+~P1(f319(f319(f226(x78691),f319(f319(f23(x78691),x78692),x78693)),f2(x78691)))+P1(f319(f319(f226(x78691),x78692),x78693)) % 219.27/219.53 [7870]~P68(x78701)+~P1(f319(f319(f227(x78701),f319(f319(f23(x78701),x78702),x78703)),f2(x78701)))+P1(f319(f319(f227(x78701),x78702),x78703)) % 219.27/219.53 [8024]E(x80241,f2(a925))+~E(f319(f134(a925,a925,f74(a925),x80242),x80243),f2(a925))+~P1(f319(f319(f321(a925),x80241),f319(f164(a925),x80243))) % 219.27/219.53 [8028]~P6(x80281)+~P1(f319(f319(f226(x80281),f428(x80283,x80282,x80281)),x80283))+P1(f319(f319(f226(x80281),f31(x80281,x80282)),x80283)) % 219.27/219.53 [8029]~P6(x80291)+~P1(f319(f319(f226(x80291),f723(x80293,x80292,x80291)),x80293))+P1(f319(f319(f226(x80291),f31(x80291,x80292)),x80293)) % 219.27/219.53 [8186]P1(f319(f319(f226(a1),f2(a1)),f512(x81861,x81862,x81863)))+P1(f319(f319(x81862,f319(f319(f30(a1),x81861),x81863)),f39(a1,x81861,x81863)))+~P1(f319(f319(f227(a1),f2(a1)),x81863)) % 219.27/219.53 [8275]E(x82751,x82752)+~E(f319(f181(f926(x82753)),x82751),f319(f181(f926(x82753)),x82752))+~P1(f319(f319(f249(x82753,x82753,a923),a316),f685(x82753,x82751,x82752))) % 219.27/219.53 [8346]~P38(x83462,x83463)+E(x83461,f180(f932(x83462,a923)))+~P1(f319(f319(f226(f932(x83462,a923)),x83461),f319(f277(x83462,x83462,x83463),x83461))) % 219.27/219.53 [8376]~P75(x83761)+~P1(f319(f319(f226(x83761),x83762),f319(f319(f74(x83761),x83763),f788(x83763,x83762,x83761))))+P1(f319(f319(f226(x83761),x83762),x83763)) % 219.27/219.53 [8412]P57(x84121,x84122,x84123)+P1(f319(f319(f321(x84121),f593(x84123,x84122,x84121)),x84122))+P1(f319(f319(f321(f931(x84121,x84121)),f594(x84123,x84122,x84121)),x84123)) % 219.27/219.53 [8433]P1(f319(f319(x84332,f319(f319(f30(a1),x84331),x84333)),f39(a1,x84331,x84333)))+~P1(f319(f319(f227(a1),f2(a1)),x84333))+P1(f319(f319(f227(a1),f512(x84331,x84332,x84333)),x84333)) % 219.27/219.53 [8457]E(f319(f302(a925,a925,f319(f319(f7(a925,a925,a925),f23(a925)),x84571)),f319(f294(a925,x84572),x84573)),f180(f932(a925,a923)))+P1(f319(f319(f227(a925),x84571),x84573))+P1(f319(f319(f227(a925),x84572),x84573)) % 219.27/219.53 [8570]E(f319(f302(a925,a925,f319(f319(f7(a925,a925,a925),f23(a925)),x85701)),f319(f294(a925,x85702),x85703)),f319(f319(f301(a925),f2(a925)),f180(f932(a925,a923))))+P1(f319(f319(f227(a925),x85701),x85703))+~P1(f319(f319(f227(a925),x85702),x85703)) % 219.27/219.53 [8584]~P4(x85841)+E(f141(x85841,x85841,f5(x85841),x85842,x85843),x85843)+~P1(f319(f319(f321(x85841),x85842),f319(f164(x85841),x85843))) % 219.27/219.53 [8597]P26(x85971,x85971,x85972,x85973)+~P1(f319(f55(x85971),x85973))+~P1(f319(f319(f226(f932(x85971,a923)),x85973),f319(f302(x85971,x85971,x85972),x85973))) % 219.27/219.53 [8624]E(f319(f319(f74(a1),f319(f319(f75(a1),x86241),f513(x86242,x86243,x86241))),f512(x86242,x86243,x86241)),x86242)+P1(f319(f319(x86243,f319(f319(f30(a1),x86242),x86241)),f39(a1,x86242,x86241)))+~P1(f319(f319(f227(a1),f2(a1)),x86241)) % 219.27/219.53 [8865]~P1(f319(f319(x88651,f513(x88652,x88651,x88653)),f512(x88652,x88651,x88653)))+P1(f319(f319(x88651,f319(f319(f30(a1),x88652),x88653)),f39(a1,x88652,x88653)))+~P1(f319(f319(f227(a1),f2(a1)),x88653)) % 219.27/219.53 [9764]~P1(f319(f55(x97641),x97642))+~P1(f319(f319(f321(x97641),x97643),x97642))+P1(f319(f319(f227(a925),f319(f29(x97641),f319(f319(f23(f932(x97641,a923)),x97642),f319(f319(f301(x97641),x97643),f180(f932(x97641,a923)))))),f319(f29(x97641),x97642))) % 219.27/219.53 [10392]P57(x103921,x103922,x103923)+~P1(f319(f319(f249(x103921,x103921,a923),f319(f319(f7(x103921,f932(x103921,a923),f932(x103921,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x103921,a923),f932(x103921,a923)),x103921),f8(a923,a923,x103921)),f319(f319(f8(a923,f932(a923,a923),x103921),a317),f319(f319(f7(x103921,f932(x103921,a923),a923),f321(x103921)),x103922)))),f319(f319(f7(x103921,f932(x103921,a923),a923),f321(x103921)),x103922))),f594(x103923,x103922,x103921)))+P1(f319(f319(f321(x103921),f593(x103923,x103922,x103921)),x103922)) % 219.27/219.53 [5685]~P124(x56852)+E(x56851,f2(x56852))+E(f319(f319(f283(x56852),x56853),f319(f73(x56852),x56851)),f319(f73(x56852),f319(f319(f283(x56852),x56853),x56851))) % 219.27/219.53 [5823]~E(x58233,f180(f932(x58231,a923)))+~E(x58232,f180(f932(x58231,a923)))+E(f319(f319(f102(f932(x58231,a923)),x58232),x58233),f180(f932(x58231,a923))) % 219.27/219.53 [5882]~E(x58823,f2(a925))+~P1(f319(x58821,f2(a925)))+P1(f319(x58821,f319(f319(f30(a925),x58822),x58823))) % 219.27/219.53 [6025]~P75(x60252)+E(x60251,f2(x60252))+E(f319(f319(f283(x60252),f319(f69(x60252),x60253)),f319(f69(x60252),x60251)),f319(f69(x60252),f319(f319(f283(x60252),x60253),x60251))) % 219.27/219.53 [6146]~P65(x61461)+E(f319(f319(f75(x61461),x61462),f319(f319(f30(x61461),x61463),x61462)),x61463)+~P1(f319(f319(f279(x61461),x61462),x61463)) % 219.27/219.53 [6201]~P1(f319(f55(x62011),x62013))+E(f319(f29(x62011),f319(f319(f301(x62011),x62012),x62013)),f319(a104,f319(f29(x62011),x62013)))+P1(f319(f319(f321(x62011),x62012),x62013)) % 219.27/219.53 [6277]~E(x62772,f2(a925))+P1(f319(x62771,f2(a925)))+~P1(f319(x62771,f319(f319(f30(a925),x62773),x62772))) % 219.27/219.53 [6294]~P1(f319(f55(x62941),x62943))+E(f319(f29(x62941),f319(f319(f301(x62941),x62942),x62943)),f319(f29(x62941),x62943))+~P1(f319(f319(f321(x62941),x62942),x62943)) % 219.27/219.53 [6330]~P1(f319(f55(x63301),x63303))+E(f319(f29(x63301),f319(f319(f301(x63301),x63302),x63303)),f319(f319(f74(a925),f72(a925)),f319(f29(x63301),x63303)))+P1(f319(f319(f321(x63301),x63302),x63303)) % 219.27/219.53 [6446]E(f319(f319(f74(a925),x64461),f357(x64461,x64462,x64463)),x64462)+~P1(f319(x64463,f2(a925)))+P1(f319(x64463,f319(f319(f23(a925),x64462),x64461))) % 219.27/219.53 [6447]E(f319(f319(f74(a925),x64471),f358(x64471,x64472,x64473)),x64472)+~P1(f319(x64473,f2(a925)))+P1(f319(x64473,f319(f319(f23(a925),x64472),x64471))) % 219.27/219.53 [6493]~P6(x64931)+~P1(f319(f55(x64931),x64933))+E(f319(f319(f58(x64931,x64931,f102(x64931)),x64932),x64933),f319(f319(f102(x64931),x64932),f31(x64931,x64933))) % 219.27/219.53 [6494]~P6(x64941)+~P1(f319(f55(x64941),x64943))+E(f319(f319(f58(x64941,x64941,f93(x64941)),x64942),x64943),f319(f319(f93(x64941),x64942),f32(x64941,x64943))) % 219.27/219.53 [6500]~P99(x65001)+~E(f319(f95(x65001),x65002),f319(f95(x65001),x65003))+P29(x65001,f319(f95(x65001),f319(f319(f74(a1),x65002),f319(f73(a1),x65003)))) % 219.27/219.53 [6509]~P145(x65091)+E(f319(f319(f23(x65091),f319(f92(x65091),x65092)),f319(f92(x65091),x65093)),f319(f92(x65091),f319(f319(f23(a925),x65092),x65093)))+~P1(f319(f319(f226(a925),x65093),x65092)) % 219.27/219.53 [6598]E(f319(f319(f74(a925),x65981),f357(x65981,x65982,x65983)),x65982)+P1(f319(f319(f227(a925),x65982),x65981))+P1(f319(x65983,f319(f319(f23(a925),x65982),x65981))) % 219.27/219.53 [6599]E(f319(f319(f74(a925),x65991),f358(x65991,x65992,x65993)),x65992)+P1(f319(f319(f227(a925),x65992),x65991))+P1(f319(x65993,f319(f319(f23(a925),x65992),x65991))) % 219.27/219.53 [6616]~P126(x66161)+E(f319(f319(f75(x66161),f319(f69(x66161),x66162)),x66163),f319(f69(x66161),f319(f319(f75(x66161),x66162),x66163)))+~P1(f319(f319(f226(x66161),f2(x66161)),x66163)) % 219.27/219.53 [6617]~P74(x66171)+E(f319(f319(f283(x66171),f319(f69(x66171),x66172)),x66173),f319(f69(x66171),f319(f319(f283(x66171),x66172),x66173)))+~P1(f319(f319(f227(x66171),f2(x66171)),x66173)) % 219.27/219.53 [6625]~P102(x66251)+~P1(f319(f55(x66251),x66253))+E(f319(f319(f58(x66251,x66251,f93(x66251)),x66252),x66253),f10(x66251,f319(f319(f301(x66251),x66252),x66253))) % 219.27/219.53 [6626]~P102(x66261)+~P1(f319(f55(x66261),x66263))+E(f319(f319(f58(x66261,x66261,f102(x66261)),x66262),x66263),f13(x66261,f319(f319(f301(x66261),x66262),x66263))) % 219.27/219.53 [6627]~P4(x66271)+~P1(f319(f55(x66271),x66273))+E(f319(f319(f58(x66271,x66271,f224(x66271)),x66272),x66273),f14(x66271,f319(f319(f301(x66271),x66272),x66273))) % 219.27/219.53 [6628]~P4(x66281)+~P1(f319(f55(x66281),x66283))+E(f319(f319(f58(x66281,x66281,f225(x66281)),x66282),x66283),f15(x66281,f319(f319(f301(x66281),x66282),x66283))) % 219.27/219.53 [6674]E(x66741,f105(x66742))+~E(f171(x66742,x66743),f105(f926(x66742)))+~P1(f319(f319(f321(f926(x66742)),x66741),f319(f164(f926(x66742)),x66743))) % 219.27/219.53 [6718]~P1(f319(f129(x67181),x67183))+P1(f319(f319(f321(x67181),x67182),f319(f164(x67181),x67183)))+P1(f319(f129(x67181),f319(f319(f143(x67181),x67182),x67183))) % 219.27/219.53 [6729]~P101(x67291)+~P1(f319(f55(x67291),x67293))+E(f319(f57(x67291,f75(x67291)),f319(f319(f301(x67291),x67292),x67293)),f319(f319(f58(x67291,x67291,f75(x67291)),x67292),x67293)) % 219.27/219.53 [6751]~P4(x67511)+~P1(f319(f55(x67511),x67513))+E(f11(x67511,f224(x67511),f319(f319(f301(x67511),x67512),x67513)),f319(f319(f58(x67511,x67511,f224(x67511)),x67512),x67513)) % 219.27/219.53 [6752]~P4(x67521)+~P1(f319(f55(x67521),x67523))+E(f12(x67521,f225(x67521),f319(f319(f301(x67521),x67522),x67523)),f319(f319(f58(x67521,x67521,f225(x67521)),x67522),x67523)) % 219.27/219.53 [6754]P1(f319(x67541,f2(a925)))+~P1(f319(f319(f227(a925),x67542),x67543))+~P1(f319(x67541,f319(f319(f23(a925),x67542),x67543))) % 219.27/219.53 [6775]~P92(x67751)+P1(f319(f319(f226(x67751),x67752),x67753))+~P1(f319(f319(f226(x67751),f319(f69(x67751),x67752)),x67753)) % 219.27/219.53 [6776]~P126(x67761)+P1(f319(f319(f227(x67761),x67762),x67763))+~P1(f319(f319(f227(x67761),f319(f69(x67761),x67762)),x67763)) % 219.27/219.53 [6793]E(x67931,f105(x67932))+E(f319(f133(x67932),f319(f319(f130(x67932),x67933),x67931)),f319(f319(f156(x67932),x67931),x67933))+~P1(f319(f319(f227(a925),x67933),f319(f181(f926(x67932)),x67931))) % 219.27/219.53 [6849]~P1(f319(x68491,x68493))+P1(f319(x68491,f367(x68491,x68492)))+~P1(f319(f319(f321(a925),x68493),f319(f294(a925,f2(a925)),x68492))) % 219.27/219.53 [6869]P1(f319(x68691,x68692))+~P1(f319(f319(f227(a925),x68692),x68693))+P1(f319(f319(f321(a925),f366(x68691,x68693)),f319(f294(a925,f2(a925)),x68693))) % 219.27/219.53 [6885]~P129(x68851)+~P1(f319(f319(f226(x68851),f72(x68851)),x68852))+P1(f319(f319(f226(x68851),f72(x68851)),f319(f319(f236(x68851),x68852),x68853))) % 219.27/219.53 [6887]~P129(x68871)+~P1(f319(f319(f226(x68871),f2(x68871)),x68872))+P1(f319(f319(f226(x68871),f2(x68871)),f319(f319(f236(x68871),x68872),x68873))) % 219.27/219.53 [6889]~P129(x68891)+~P1(f319(f319(f227(x68891),f2(x68891)),x68892))+P1(f319(f319(f227(x68891),f2(x68891)),f319(f319(f236(x68891),x68892),x68893))) % 219.27/219.53 [6914]~P1(f319(x69141,x69143))+~P1(f319(f319(f227(a925),x69143),x69142))+P1(f319(f319(f321(a925),f360(x69141,x69142)),f319(f294(a925,f2(a925)),x69142))) % 219.27/219.53 [6924]P1(f319(f55(x69241),x69242))+~P1(f319(f55(x69241),x69243))+~P1(f319(f319(f226(f932(x69241,a923)),x69242),x69243)) % 219.27/219.53 [6931]P1(f319(x69311,x69312))+~P1(f319(x69311,f368(x69311,x69313)))+~P1(f319(f319(f321(a925),x69312),f319(f294(a925,f2(a925)),x69313))) % 219.27/219.53 [6943]E(x69431,f2(a925))+P1(f319(x69432,f470(x69431,x69433,x69432)))+~P1(f319(x69432,f319(f319(f30(a925),x69433),x69431))) % 219.27/219.53 [6950]~P130(x69502)+E(x69501,f2(x69502))+~E(f319(f319(f74(x69502),f319(f319(f75(x69502),x69503),x69503)),f319(f319(f75(x69502),x69501),x69501)),f2(x69502)) % 219.27/219.53 [6951]~P130(x69512)+E(x69511,f2(x69512))+~E(f319(f319(f74(x69512),f319(f319(f75(x69512),x69511),x69511)),f319(f319(f75(x69512),x69513),x69513)),f2(x69512)) % 219.27/219.53 [6995]E(x69951,f2(a925))+~P1(f319(x69952,f471(x69951,x69953,x69952)))+P1(f319(x69952,f319(f319(f30(a925),x69953),x69951))) % 219.27/219.53 [7000]~P4(x70001)+~P14(x70001,x70003)+P14(x70001,f319(f319(f140(x70001,x70001,f5(x70001)),x70002),x70003)) % 219.27/219.53 [7042]P1(f319(x70421,f470(x70422,x70423,x70421)))+P1(f319(x70421,f2(a925)))+~P1(f319(x70421,f319(f319(f30(a925),x70423),x70422))) % 219.27/219.53 [7048]~P99(x70481)+E(f319(f95(x70481),x70482),f319(f95(x70481),x70483))+~P29(x70481,f319(f95(x70481),f319(f319(f74(a1),x70482),f319(f73(a1),x70483)))) % 219.27/219.53 [7116]E(x71161,f2(a1))+E(x71162,f2(a1))+~P1(f319(f43(x71162,x71162),f319(f319(f244(a1,a1),x71163),x71161))) % 219.27/219.53 [7117]E(x71171,f72(a1))+E(x71172,f2(a1))+~P1(f319(f43(x71172,x71172),f319(f319(f244(a1,a1),x71171),x71173))) % 219.27/219.53 [7131]P1(f319(x71311,x71312))+P1(f319(f319(f227(a925),f368(x71311,x71313)),x71313))+~P1(f319(f319(f321(a925),x71312),f319(f294(a925,f2(a925)),x71313))) % 219.27/219.53 [7154]~P1(f319(x71541,f357(x71543,x71542,x71541)))+~P1(f319(x71541,f2(a925)))+P1(f319(x71541,f319(f319(f23(a925),x71542),x71543))) % 219.27/219.53 [7155]~P1(f319(x71551,f358(x71553,x71552,x71551)))+~P1(f319(x71551,f2(a925)))+P1(f319(x71551,f319(f319(f23(a925),x71552),x71553))) % 219.27/219.53 [7156]~P1(f319(x71561,f471(x71563,x71562,x71561)))+~P1(f319(x71561,f2(a925)))+P1(f319(x71561,f319(f319(f30(a925),x71562),x71563))) % 219.27/219.53 [7174]~P1(f319(x71741,x71743))+P1(f319(f319(f227(a925),f367(x71741,x71742)),x71742))+~P1(f319(f319(f321(a925),x71743),f319(f294(a925,f2(a925)),x71742))) % 219.27/219.53 [7175]E(f319(f319(f23(a925),f319(f319(f23(a925),x71751),x71752)),f319(f319(f23(a925),x71753),x71752)),f319(f319(f23(a925),x71751),x71753))+~P1(f319(f319(f226(a925),x71752),x71751))+~P1(f319(f319(f226(a925),x71752),x71753)) % 219.27/219.53 [7211]~P68(x72111)+~P1(f319(f319(f226(x72111),f319(f73(x72111),x72113)),x72112))+P1(f319(f319(f226(x72111),f319(f73(x72111),x72112)),x72113)) % 219.27/219.53 [7213]~P92(x72131)+~P1(f319(f319(f226(x72131),f319(f69(x72131),x72132)),x72133))+P1(f319(f319(f226(x72131),f319(f73(x72131),x72132)),x72133)) % 219.27/219.53 [7215]~P68(x72151)+~P1(f319(f319(f227(x72151),f319(f73(x72151),x72153)),x72152))+P1(f319(f319(f227(x72151),f319(f73(x72151),x72152)),x72153)) % 219.27/219.53 [7216]~P126(x72161)+~P1(f319(f319(f227(x72161),f319(f69(x72161),x72162)),x72163))+P1(f319(f319(f227(x72161),f319(f73(x72161),x72162)),x72163)) % 219.27/219.53 [7247]~P1(f319(x72473,f357(x72472,x72471,x72473)))+P1(f319(f319(f227(a925),x72471),x72472))+P1(f319(x72473,f319(f319(f23(a925),x72471),x72472))) % 219.27/219.53 [7248]~P1(f319(x72483,f358(x72482,x72481,x72483)))+P1(f319(f319(f227(a925),x72481),x72482))+P1(f319(x72483,f319(f319(f23(a925),x72481),x72482))) % 219.27/219.53 [7301]~E(f883(x73013,x73012,x73011),f884(x73013,x73012,x73011))+E(f319(f319(f93(f932(x73011,a923)),x73012),f31(f932(x73011,a923),x73013)),f180(f932(x73011,a923)))+P1(f319(f319(f321(f932(x73011,a923)),x73012),x73013)) % 219.27/219.53 [7309]~P1(f319(f55(x73091),x73093))+P1(f319(f55(x73091),f32(f932(x73091,a923),x73092)))+~P1(f319(f319(f321(f932(x73091,a923)),x73093),x73092)) % 219.27/219.53 [7369]~P4(x73691)+E(f319(f319(f102(f932(x73691,a923)),f319(f294(x73691,x73692),x73693)),f319(f319(f301(x73691),x73693),f180(f932(x73691,a923)))),f295(x73691,x73692,x73693))+~P1(f319(f319(f226(x73691),x73692),x73693)) % 219.27/219.53 [7372]E(x73721,f2(a925))+P1(f319(f319(f227(a925),f501(x73721,x73723,x73722)),x73721))+P1(f319(x73722,f319(f319(f30(a925),x73723),x73721))) % 219.27/219.53 [7401]P1(f319(f319(f227(a925),f319(f181(f926(x74011)),x74012)),f802(x74013,x74011)))+~P1(f319(f55(f926(x74011)),x74013))+~P1(f319(f319(f321(f926(x74011)),x74012),x74013)) % 219.27/219.53 [7407]E(x74071,x74072)+~P1(f319(f319(f226(f932(x74073,a923)),x74071),x74072))+P1(f319(f319(f227(f932(x74073,a923)),x74071),x74072)) % 219.27/219.53 [7419]E(x74191,x74192)+~E(f319(f181(f926(x74193)),x74191),f319(f181(f926(x74193)),x74192))+P1(f319(f319(f227(a925),f659(x74193,x74191,x74192)),f319(f181(f926(x74193)),x74192))) % 219.27/219.53 [7469]P9(x74691,x74692,x74693)+~E(f319(f256(x74691,x74691),x74693),x74692)+~E(f319(f319(f281(x74691,x74691,x74691),f319(f278(x74691,x74691),x74693)),x74693),x74693) % 219.27/219.53 [7547]~P1(f319(x75471,f2(a925)))+P1(f319(f319(f227(a925),f501(x75473,x75472,x75471)),x75473))+P1(f319(x75471,f319(f319(f30(a925),x75472),x75473))) % 219.27/219.53 [7556]~P4(x75561)+E(f319(f319(f102(f932(x75561,a923)),f298(x75561,x75562,x75563)),f319(f319(f301(x75561),x75563),f180(f932(x75561,a923)))),f297(x75561,x75562,x75563))+~P1(f319(f319(f227(x75561),x75562),x75563)) % 219.27/219.53 [7646]~P1(f319(f55(x76461),x76463))+P1(f319(f319(f226(a925),f319(f29(x76461),x76462)),f319(f29(x76461),x76463)))+~P1(f319(f319(f226(f932(x76461,a923)),x76462),x76463)) % 219.27/219.53 [7647]~P1(f319(f55(x76471),x76473))+P1(f319(f319(f227(a925),f319(f29(x76471),x76472)),f319(f29(x76471),x76473)))+~P1(f319(f319(f227(f932(x76471,a923)),x76472),x76473)) % 219.27/219.53 [7777]E(x77771,x77772)+~P1(f319(f319(f226(f932(x77773,a923)),x77772),x77771))+~P1(f319(f319(f226(f932(x77773,a923)),x77771),x77772)) % 219.27/219.53 [7780]~P4(x77801)+P14(x77801,x77802)+~P14(x77801,f319(f319(f140(x77801,x77801,f5(x77801)),x77803),x77802)) % 219.27/219.53 [7851]~P1(f319(f319(f227(a925),x78513),x78512))+~P1(f319(f319(f227(a925),x78513),x78511))+P1(f319(f319(f227(a925),f319(f319(f23(a925),x78511),x78512)),f319(f319(f23(a925),x78511),x78513))) % 219.27/219.53 [7852]~P1(f319(f319(f226(a925),x78522),x78521))+~P1(f319(f319(f227(a925),x78521),x78523))+P1(f319(f319(f227(a925),f319(f319(f23(a925),x78521),x78522)),f319(f319(f23(a925),x78523),x78522))) % 219.27/219.53 [7867]~P1(f319(f319(f227(a1),x78672),f2(a1)))+~P1(f319(f319(f226(a1),x78673),x78671))+P1(f319(f319(f226(a1),f319(f319(f30(a1),x78671),x78672)),f319(f319(f30(a1),x78673),x78672))) % 219.27/219.53 [7884]~P1(f319(f319(f227(a925),f2(a925)),x78843))+~P1(f319(f319(f226(a925),x78843),x78842))+P1(f319(f319(f226(a925),f319(f319(f30(a925),x78841),x78842)),f319(f319(f30(a925),x78841),x78843))) % 219.27/219.53 [7885]~P1(f319(f319(f227(a1),f2(a1)),x78852))+~P1(f319(f319(f226(a1),x78851),x78853))+P1(f319(f319(f226(a1),f319(f319(f30(a1),x78851),x78852)),f319(f319(f30(a1),x78853),x78852))) % 219.27/219.53 [7889]~P1(f319(f319(f227(a925),f2(a925)),x78892))+~P1(f319(f319(f227(a925),x78891),x78893))+P1(f319(f319(f227(a925),f319(f319(f75(a925),x78891),x78892)),f319(f319(f75(a925),x78893),x78892))) % 219.27/219.53 [7890]~P1(f319(f319(f227(a925),f2(a925)),x78901))+~P1(f319(f319(f227(a925),x78902),x78903))+P1(f319(f319(f227(a925),f319(f319(f75(a925),x78901),x78902)),f319(f319(f75(a925),x78901),x78903))) % 219.27/219.53 [7891]~P1(f319(f319(f227(a1),f2(a1)),x78911))+~P1(f319(f319(f227(a1),x78912),x78913))+P1(f319(f319(f227(a1),f319(f319(f75(a1),x78911),x78912)),f319(f319(f75(a1),x78911),x78913))) % 219.27/219.53 [7939]E(x79391,f2(a925))+E(f319(f319(f74(a925),f319(f319(f75(a925),x79391),f471(x79391,x79392,x79393))),f501(x79391,x79392,x79393)),x79392)+P1(f319(x79393,f319(f319(f30(a925),x79392),x79391))) % 219.27/219.53 [7998]E(f319(f319(f74(a925),f319(f319(f75(a925),x79981),f471(x79981,x79982,x79983))),f501(x79981,x79982,x79983)),x79982)+~P1(f319(x79983,f2(a925)))+P1(f319(x79983,f319(f319(f30(a925),x79982),x79981))) % 219.27/219.53 [8015]~P1(f319(f55(x80151),x80153))+P1(f319(f319(f321(x80151),f474(x80152,x80153,x80151)),x80153))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f9(x80151,a925),x80152),x80153))) % 219.27/219.53 [8016]~P1(f319(f55(x80161),x80163))+P1(f319(f319(f321(x80161),f511(x80162,x80163,x80161)),x80163))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f9(x80161,a925),x80162),x80163))) % 219.27/219.53 [8118]E(x81181,f2(a925))+P1(f319(f319(f279(a925),x81182),x81183))+~P1(f319(f319(f279(a925),f319(f319(f75(a925),x81181),x81182)),f319(f319(f75(a925),x81181),x81183))) % 219.27/219.53 [8311]E(x83111,f180(f932(x83112,a923)))+E(x83111,f319(f319(f301(x83112),x83113),f180(f932(x83112,a923))))+~P1(f319(f319(f226(f932(x83112,a923)),x83111),f319(f319(f301(x83112),x83113),f180(f932(x83112,a923))))) % 219.27/219.53 [8347]~P1(f319(f319(f227(a925),f72(a925)),x83473))+P1(f319(f319(f226(a925),x83471),x83472))+~P1(f319(f319(f279(a925),f319(f319(f236(a925),x83473),x83471)),f319(f319(f236(a925),x83473),x83472))) % 219.27/219.53 [8349]~P1(f319(f319(f227(a925),f2(a925)),x83493))+P1(f319(f319(f226(a925),x83491),x83492))+~P1(f319(f319(f226(a925),f319(f319(f75(a925),x83493),x83491)),f319(f319(f75(a925),x83493),x83492))) % 219.27/219.53 [8350]~P1(f319(f319(f227(a925),f2(a925)),x83503))+P1(f319(f319(f226(a925),x83501),x83502))+~P1(f319(f319(f226(a925),f319(f319(f75(a925),x83501),x83503)),f319(f319(f75(a925),x83502),x83503))) % 219.27/219.53 [8352]~P1(f319(f319(f227(a925),f2(a925)),x83523))+P1(f319(f319(f227(a925),x83521),x83522))+~P1(f319(f319(f227(a925),f319(f319(f236(a925),x83523),x83521)),f319(f319(f236(a925),x83523),x83522))) % 219.27/219.53 [8393]~E(f319(f319(f93(f932(x83931,a923)),f884(x83933,x83932,x83931)),f883(x83933,x83932,x83931)),f180(f932(x83931,a923)))+E(f319(f319(f93(f932(x83931,a923)),x83932),f31(f932(x83931,a923),x83933)),f180(f932(x83931,a923)))+P1(f319(f319(f321(f932(x83931,a923)),x83932),x83933)) % 219.27/219.53 [8407]E(x84071,f105(x84072))+~E(f319(f134(f926(x84072),f926(x84072),f126(x84072),f105(x84072)),x84073),f105(x84072))+~P1(f319(f319(f321(f926(x84072)),x84071),f319(f164(f926(x84072)),x84073))) % 219.27/219.53 [8462]E(x84621,f180(f932(f932(x84622,a923),a923)))+P1(f319(f319(f321(f932(x84622,a923)),f882(x84623,x84621,x84622)),x84621))+P1(f319(f319(f226(f932(x84622,a923)),f32(f932(x84622,a923),x84621)),x84623)) % 219.27/219.53 [8469]~P78(x84691)+~P79(x84691)+E(f319(f319(f6(a1,x84691),f319(f319(f8(a925,x84691,a1),x84692),a96)),f319(f302(a925,a1,f92(a1)),x84693)),f319(f319(f6(a925,x84691),x84692),x84693)) % 219.27/219.53 [8470]~P78(x84701)+~P79(x84701)+E(f319(f319(f9(a1,x84701),f319(f319(f8(a925,x84701,a1),x84702),a96)),f319(f302(a925,a1,f92(a1)),x84703)),f319(f319(f9(a925,x84701),x84702),x84703)) % 219.27/219.53 [8513]~P1(f319(f55(x85131),x85133))+~P1(f319(f319(f227(a925),f2(a925)),f319(x85132,f474(x85132,x85133,x85131))))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f9(x85131,a925),x85132),x85133))) % 219.27/219.53 [8514]~P1(f319(f55(x85141),x85143))+~P1(f319(f319(f227(a925),f2(a925)),f319(x85142,f511(x85142,x85143,x85141))))+P1(f319(f319(f227(a925),f2(a925)),f319(f319(f9(x85141,a925),x85142),x85143))) % 219.27/219.53 [8551]~P73(x85512)+E(x85511,f72(x85512))+E(f319(f319(f283(x85512),f319(f319(f23(x85512),f319(f319(f236(x85512),x85511),x85513)),f72(x85512))),f319(f319(f23(x85512),x85511),f72(x85512))),f319(f319(f6(a925,x85512),f319(f236(x85512),x85511)),f319(f294(a925,f2(a925)),x85513))) % 219.27/219.53 [8608]E(x86081,f2(a925))+~P1(f319(x86083,f319(f319(f30(a925),x86082),x86081)))+P1(f319(f319(f227(a925),x86082),f319(f319(f75(a925),x86081),f319(a104,f470(x86081,x86082,x86083))))) % 219.27/219.53 [8627]P1(f319(x86271,f2(a925)))+~P1(f319(x86271,f319(f319(f30(a925),x86272),x86273)))+P1(f319(f319(f227(a925),x86272),f319(f319(f75(a925),x86273),f319(a104,f470(x86273,x86272,x86271))))) % 219.27/219.53 [8665]E(x86651,f2(a925))+~P1(f319(x86653,f319(f319(f30(a925),x86652),x86651)))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x86651),f470(x86651,x86652,x86653))),x86652)) % 219.27/219.53 [8698]P1(f319(x86981,f2(a925)))+~P1(f319(x86981,f319(f319(f30(a925),x86983),x86982)))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x86982),f470(x86982,x86983,x86981))),x86983)) % 219.27/219.53 [8706]~P4(x87061)+E(f319(f319(f140(x87061,x87061,f5(x87061)),x87062),x87063),f141(x87061,x87061,f5(x87061),x87062,x87063))+P1(f319(f319(f321(x87061),x87062),f319(f164(x87061),x87063))) % 219.27/219.53 [8743]~E(f319(x87433,f599(x87432,x87433,x87431)),f319(x87433,f603(x87432,x87433,x87431)))+~P64(x87431,f319(x87433,f600(x87432,x87433,x87431)))+P64(x87431,f319(f319(f33(x87432,f932(x87431,f932(x87431,a923))),f234(f932(x87432,a923))),x87433)) % 219.27/219.53 [8752]E(x87521,f180(f932(f932(x87522,a923),a923)))+~P1(f319(f319(f226(f932(x87522,a923)),f882(x87523,x87521,x87522)),x87523))+P1(f319(f319(f226(f932(x87522,a923)),f32(f932(x87522,a923),x87521)),x87523)) % 219.27/219.53 [8813]~P75(x88131)+~P1(f319(f319(f227(x88131),x88132),x88133))+P1(f319(f319(f227(x88131),x88132),f319(f319(f283(x88131),f319(f319(f74(x88131),x88132),x88133)),f319(f319(f74(x88131),f72(x88131)),f72(x88131))))) % 219.27/219.53 [8871]~P1(f319(f319(x88711,f531(x88711,x88713,x88712)),f535(x88711,x88713,x88712)))+P1(f319(f319(x88711,x88712),x88713))+~P1(f319(f307(f931(a1,a1),a46),f319(f319(f244(a1,a1),x88712),x88713))) % 219.27/219.53 [8872]~P1(f319(f319(x88721,f536(x88721,x88723,x88722)),f538(x88721,x88723,x88722)))+P1(f319(f319(x88721,x88722),x88723))+~P1(f319(f307(f931(a1,a1),a52),f319(f319(f244(a1,a1),x88722),x88723))) % 219.27/219.53 [8873]~P1(f319(f319(x88731,f541(x88731,x88733,x88732)),f542(x88731,x88733,x88732)))+P1(f319(f319(x88731,x88732),x88733))+~P1(f319(f307(f931(a1,a1),a213),f319(f319(f244(a1,a1),x88732),x88733))) % 219.27/219.53 [8874]~P1(f319(f319(x88741,f543(x88741,x88743,x88742)),f544(x88741,x88743,x88742)))+P1(f319(f319(x88741,x88742),x88743))+~P1(f319(f307(f931(a925,a925),a211),f319(f319(f244(a925,a925),x88742),x88743))) % 219.27/219.53 [8875]~P1(f319(f319(x88751,f698(x88751,x88753,x88752)),f699(x88751,x88753,x88752)))+P1(f319(f319(x88751,x88752),x88753))+~P1(f319(f307(f931(a1,a1),a174),f319(f319(f244(a1,a1),x88752),x88753))) % 219.27/219.53 [8876]~P1(f319(f319(x88761,f795(x88761,x88763,x88762)),f796(x88761,x88763,x88762)))+P1(f319(f319(x88761,x88762),x88763))+~P1(f319(f307(f931(a1,a1),a125),f319(f319(f244(a1,a1),x88762),x88763))) % 219.27/219.53 [9153]P1(f319(f319(x91531,x91532),x91533))+P1(f319(f307(f931(a925,a925),a211),f319(f319(f244(a925,a925),f543(x91531,x91533,x91532)),f544(x91531,x91533,x91532))))+~P1(f319(f307(f931(a925,a925),a211),f319(f319(f244(a925,a925),x91532),x91533))) % 219.27/219.53 [9154]P1(f319(f319(x91541,x91542),x91543))+P1(f319(f307(f931(a1,a1),a46),f319(f319(f244(a1,a1),f531(x91541,x91543,x91542)),f535(x91541,x91543,x91542))))+~P1(f319(f307(f931(a1,a1),a46),f319(f319(f244(a1,a1),x91542),x91543))) % 219.27/219.53 [9155]P1(f319(f319(x91551,x91552),x91553))+P1(f319(f307(f931(a1,a1),a52),f319(f319(f244(a1,a1),f536(x91551,x91553,x91552)),f538(x91551,x91553,x91552))))+~P1(f319(f307(f931(a1,a1),a52),f319(f319(f244(a1,a1),x91552),x91553))) % 219.27/219.53 [9156]P1(f319(f319(x91561,x91562),x91563))+P1(f319(f307(f931(a1,a1),a213),f319(f319(f244(a1,a1),f541(x91561,x91563,x91562)),f542(x91561,x91563,x91562))))+~P1(f319(f307(f931(a1,a1),a213),f319(f319(f244(a1,a1),x91562),x91563))) % 219.27/219.53 [9157]P1(f319(f319(x91571,x91572),x91573))+P1(f319(f307(f931(a1,a1),a174),f319(f319(f244(a1,a1),f698(x91571,x91573,x91572)),f699(x91571,x91573,x91572))))+~P1(f319(f307(f931(a1,a1),a174),f319(f319(f244(a1,a1),x91572),x91573))) % 219.27/219.53 [9158]P1(f319(f319(x91581,x91582),x91583))+P1(f319(f307(f931(a1,a1),a125),f319(f319(f244(a1,a1),f795(x91581,x91583,x91582)),f796(x91581,x91583,x91582))))+~P1(f319(f307(f931(a1,a1),a125),f319(f319(f244(a1,a1),x91582),x91583))) % 219.27/219.53 [9499]~P1(f319(f55(x94991),x94993))+P1(f319(f319(f321(f931(f932(x94991,a923),f932(x94991,a923))),f319(f319(f244(f932(x94991,a923),f932(x94991,a923)),x94992),x94993)),f306(x94991)))+~P1(f319(f319(f227(f932(x94991,a923)),x94992),x94993)) % 219.27/219.53 [9574]~P64(x95741,f319(x95743,f600(x95742,x95743,x95741)))+P64(x95741,f319(f319(f33(x95742,f932(x95741,f932(x95741,a923))),f234(f932(x95742,a923))),x95743))+~E(f319(f319(f93(f932(x95741,a923)),f241(x95741,x95741,f319(x95743,f599(x95742,x95743,x95741)))),f242(x95741,x95741,f319(x95743,f603(x95742,x95743,x95741)))),f180(f932(x95741,a923))) % 219.27/219.53 [9779]P57(x97791,x97792,x97793)+P1(f319(f319(f321(f931(x97791,x97791)),f594(x97793,x97792,x97791)),x97793))+~P1(f319(f319(f321(f931(x97791,x97791)),f319(f319(f244(x97791,x97791),f593(x97793,x97792,x97791)),f593(x97793,x97792,x97791))),x97793)) % 219.27/219.53 [10395]P57(x103951,x103952,x103953)+~P1(f319(f319(f249(x103951,x103951,a923),f319(f319(f7(x103951,f932(x103951,a923),f932(x103951,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x103951,a923),f932(x103951,a923)),x103951),f8(a923,a923,x103951)),f319(f319(f8(a923,f932(a923,a923),x103951),a317),f319(f319(f7(x103951,f932(x103951,a923),a923),f321(x103951)),x103952)))),f319(f319(f7(x103951,f932(x103951,a923),a923),f321(x103951)),x103952))),f594(x103953,x103952,x103951)))+~P1(f319(f319(f321(f931(x103951,x103951)),f319(f319(f244(x103951,x103951),f593(x103953,x103952,x103951)),f593(x103953,x103952,x103951))),x103953)) % 219.27/219.53 [5864]~P65(x58642)+E(x58641,f2(x58642))+E(f319(f319(f30(x58642),f319(f319(f75(x58642),x58643),x58641)),x58641),x58643) % 219.27/219.53 [5865]~P65(x58652)+E(x58651,f2(x58652))+E(f319(f319(f30(x58652),f319(f319(f75(x58652),x58651),x58653)),x58651),x58653) % 219.27/219.53 [6510]~P65(x65101)+E(f319(f319(f75(x65101),f319(f319(f30(x65101),x65102),x65103)),x65103),x65102)+~P1(f319(f319(f279(x65101),x65103),x65102)) % 219.27/219.53 [6673]~P79(x66731)+~E(f319(x66732,f2(a925)),f2(x66731))+E(f319(f319(f6(a925,x66731),x66732),f319(f294(a925,f319(a104,f2(a925))),x66733)),f319(f319(f6(a925,x66731),x66732),f319(f294(a925,f2(a925)),x66733))) % 219.27/219.53 [6809]~P65(x68092)+E(x68091,f2(x68092))+E(f319(f319(f30(x68092),f319(f319(f74(x68092),x68093),x68091)),x68091),f319(f319(f74(x68092),f319(f319(f30(x68092),x68093),x68091)),f72(x68092))) % 219.27/219.53 [6810]~P65(x68102)+E(x68101,f2(x68102))+E(f319(f319(f30(x68102),f319(f319(f74(x68102),x68101),x68103)),x68101),f319(f319(f74(x68102),f319(f319(f30(x68102),x68103),x68101)),f72(x68102))) % 219.27/219.53 [7031]~P1(f319(x70313,f2(a1)))+P1(f319(f319(f226(a925),x70311),x70312))+P1(f319(x70313,f319(f92(a1),f319(f319(f23(a925),x70312),x70311)))) % 219.27/219.53 [7137]P1(f319(f319(f227(a925),x71372),x71371))+P1(f319(f319(f226(a925),x71371),x71372))+P1(f319(x71373,f319(f92(a1),f319(f319(f23(a925),x71372),x71371)))) % 219.27/219.53 [7209]E(f319(f319(f74(a925),f319(f95(a925),x72091)),f319(f319(f74(a925),f319(f95(a925),x72092)),x72093)),f319(f319(f74(a925),f319(f95(a925),x72091)),x72093))+P1(f319(a185,f319(f95(a1),x72091)))+~P1(f319(a185,f319(f95(a1),x72092))) % 219.27/219.53 [7287]~E(x72872,f319(f319(f30(a925),x72873),x72871))+~P1(f319(f319(f227(a925),f2(a925)),x72871))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x72871),x72872)),x72873)) % 219.27/219.53 [7404]~P1(f319(f55(x74041),x74043))+~P1(f319(f55(x74041),x74042))+P1(f319(f55(x74041),f319(f319(f102(f932(x74041,a923)),x74042),x74043))) % 219.27/219.53 [7454]~P39(x74541,x74543)+~P39(x74541,x74542)+P39(x74541,f319(f319(f93(f932(f931(x74541,x74541),a923)),x74542),x74543)) % 219.27/219.53 [7455]~P56(x74551,x74553)+~P56(x74551,x74552)+P56(x74551,f319(f319(f102(f932(f931(x74551,x74551),a923)),x74552),x74553)) % 219.27/219.53 [7456]~P56(x74561,x74563)+~P56(x74561,x74562)+P56(x74561,f319(f319(f93(f932(f931(x74561,x74561),a923)),x74562),x74563)) % 219.27/219.53 [7695]~P4(x76951)+~P1(f319(f55(x76951),x76952))+E(f131(x76951,f319(f319(f23(f932(x76951,a923)),x76952),f319(f319(f301(x76951),x76953),f180(f932(x76951,a923))))),f162(x76951,x76953,f131(x76951,x76952))) % 219.27/219.53 [7756]P1(f319(x77561,f2(a1)))+~P1(f319(f319(f227(a925),x77562),x77563))+~P1(f319(x77561,f319(f92(a1),f319(f319(f23(a925),x77562),x77563)))) % 219.27/219.53 [7774]~P1(f319(f55(x77741),x77742))+E(f319(f29(x77741),f319(f319(f23(f932(x77741,a923)),x77742),f319(f319(f301(x77741),x77743),f180(f932(x77741,a923))))),f319(f29(x77741),x77742))+P1(f319(f319(f321(x77741),x77743),x77742)) % 219.27/219.53 [7907]~P129(x79071)+~P1(f319(f319(f227(x79071),f72(x79071)),x79072))+P1(f319(f319(f227(x79071),f72(x79071)),f319(f319(f75(x79071),x79072),f319(f319(f236(x79071),x79072),x79073)))) % 219.27/219.53 [7949]~P1(f319(f55(x79491),x79493))+E(f319(f319(f23(a925),f319(f29(x79491),x79492)),f319(f29(x79491),x79493)),f319(f29(x79491),f319(f319(f23(f932(x79491,a923)),x79492),x79493)))+~P1(f319(f319(f226(f932(x79491,a923)),x79493),x79492)) % 219.27/219.53 [8006]~P1(f319(f319(f226(a925),x80062),x80063))+~P1(f319(f319(f226(a925),x80061),f319(f319(f23(a925),x80063),x80062)))+P1(f319(f319(f226(a925),f319(f319(f74(a925),x80061),x80062)),x80063)) % 219.27/219.53 [8061]P1(f319(f55(x80611),x80612))+~P1(f319(f55(x80611),x80613))+~P1(f319(f55(x80611),f319(f319(f23(f932(x80611,a923)),x80612),x80613))) % 219.27/219.53 [8067]~P1(f319(f55(x80671),x80672))+E(f319(f29(x80671),f319(f319(f23(f932(x80671,a923)),x80672),f319(f319(f301(x80671),x80673),f180(f932(x80671,a923))))),f319(f319(f23(a925),f319(f29(x80671),x80672)),f72(a925)))+~P1(f319(f319(f321(x80671),x80673),x80672)) % 219.27/219.53 [8143]P64(x81431,x81432)+~P64(x81431,x81433)+~P1(f319(f319(f226(f932(x81431,f932(x81431,a923))),x81432),x81433)) % 219.27/219.53 [8185]~P1(f319(f319(f226(a925),x81853),x81852))+P1(f319(f319(f226(a925),x81851),f319(f319(f23(a925),x81852),x81853)))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),x81851),x81853)),x81852)) % 219.27/219.53 [8203]P38(x82031,x82032)+~P38(x82031,x82033)+~P1(f319(f319(f226(f932(f931(x82031,x82031),a923)),x82032),x82033)) % 219.27/219.53 [8204]P62(x82041,x82042)+~P62(x82041,x82043)+~P1(f319(f319(f226(f932(f931(x82041,x82041),a923)),x82042),x82043)) % 219.27/219.53 [8205]P40(x82051,x82052)+~P40(x82051,x82053)+~P1(f319(f319(f226(f932(f931(x82051,x82051),a923)),x82052),x82053)) % 219.27/219.53 [8440]~P129(x84401)+~P1(f319(f319(f227(x84401),f72(x84401)),x84402))+P1(f319(f319(f227(x84401),f319(f319(f236(x84401),x84402),x84403)),f319(f319(f75(x84401),x84402),f319(f319(f236(x84401),x84402),x84403)))) % 219.27/219.53 [8532]~P1(f319(x85321,f2(a1)))+~P1(f319(x85321,f319(f319(f23(a1),f319(f92(a1),x85322)),f319(f92(a1),x85323))))+P1(f319(x85321,f319(f92(a1),f319(f319(f23(a925),x85322),x85323)))) % 219.27/219.53 [8547]~P1(f319(f319(f226(a925),x85473),x85472))+P1(f319(x85471,f319(f319(f23(a1),f319(f92(a1),x85472)),f319(f92(a1),x85473))))+~P1(f319(x85471,f319(f92(a1),f319(f319(f23(a925),x85472),x85473)))) % 219.27/219.53 [8567]P1(f319(f319(f227(a925),x85671),x85672))+~P1(f319(x85673,f319(f319(f23(a1),f319(f92(a1),x85671)),f319(f92(a1),x85672))))+P1(f319(x85673,f319(f92(a1),f319(f319(f23(a925),x85671),x85672)))) % 219.27/219.53 [8621]~P130(x86212)+E(x86211,f2(x86212))+P1(f319(f319(f227(x86212),f2(x86212)),f319(f319(f74(x86212),f319(f319(f75(x86212),x86213),x86213)),f319(f319(f75(x86212),x86211),x86211)))) % 219.27/219.53 [8622]~P130(x86222)+E(x86221,f2(x86222))+P1(f319(f319(f227(x86222),f2(x86222)),f319(f319(f74(x86222),f319(f319(f75(x86222),x86221),x86221)),f319(f319(f75(x86222),x86223),x86223)))) % 219.27/219.53 [8726]~P1(f319(f319(f227(a925),f2(a925)),x87261))+~P1(f319(f319(f227(a1),x87262),x87263))+P1(f319(f319(f227(a1),f319(f319(f75(a1),f319(f92(a1),x87261)),x87262)),f319(f319(f75(a1),f319(f92(a1),x87261)),x87263))) % 219.27/219.53 [8781]E(f319(f319(f93(f932(x87811,a923)),x87812),f31(f932(x87811,a923),x87813)),f180(f932(x87811,a923)))+P1(f319(f319(f321(f932(x87811,a923)),x87812),x87813))+P1(f319(f319(f321(f932(x87811,a923)),f884(x87813,x87812,x87811)),f319(f319(f301(f932(x87811,a923)),x87812),x87813))) % 219.27/219.53 [8782]E(f319(f319(f93(f932(x87821,a923)),x87822),f31(f932(x87821,a923),x87823)),f180(f932(x87821,a923)))+P1(f319(f319(f321(f932(x87821,a923)),x87822),x87823))+P1(f319(f319(f321(f932(x87821,a923)),f883(x87823,x87822,x87821)),f319(f319(f301(f932(x87821,a923)),x87822),x87823))) % 219.27/219.53 [8812]E(x88121,x88122)+~E(f319(f181(f926(x88123)),x88121),f319(f181(f926(x88123)),x88122))+P1(f319(f319(f321(f931(x88123,x88123)),f685(x88123,x88121,x88122)),f319(f164(f931(x88123,x88123)),f319(f319(f173(x88123,x88123),x88122),x88121)))) % 219.27/219.53 [9063]E(f299(x90631,x90632),f299(x90631,x90633))+~P1(f319(f319(f226(f932(f931(x90631,x90631),a923)),x90633),f299(x90631,x90632)))+~P1(f319(f319(f226(f932(f931(x90631,x90631),a923)),x90632),x90633)) % 219.27/219.53 [9131]~P57(x91311,f234(f932(x91311,a923)),x91313)+P1(f319(f319(f226(f932(f931(f926(x91311),f926(x91311)),a923)),f149(x91311,x91312)),f150(x91311,x91313)))+~P1(f319(f319(f226(f932(f931(x91311,x91311),a923)),x91312),x91313)) % 219.27/219.53 [9333]P38(x93331,x93332)+~P1(f319(f319(f321(x93331),x93333),f629(x93332,x93331)))+P1(f319(f319(f321(f931(x93331,x93331)),f319(f319(f244(x93331,x93331),f660(x93332,x93331,x93333)),x93333)),x93332)) % 219.27/219.53 [9368]~P1(f319(f55(x93681),x93682))+P1(f319(f55(f932(x93681,a923)),f319(f319(f54(x93681),x93682),x93683)))+~P1(f319(f319(f226(f932(f931(x93681,x93681),a923)),x93683),f319(f319(f246(x93681,x93681),x93682),f319(f16(f932(x93681,a923),x93681),x93682)))) % 219.27/219.53 [9406]P57(x94061,x94062,x94063)+P1(f319(f319(f321(x94061),f583(x94063,x94062,x94061)),x94062))+~P1(f319(f319(f226(f932(f931(x94061,x94061),a923)),x94063),f319(f319(f246(x94061,x94061),x94062),f319(f16(f932(x94061,a923),x94061),x94062)))) % 219.27/219.53 [9407]P57(x94071,x94072,x94073)+P1(f319(f319(f321(x94071),f591(x94072,x94073,x94071)),x94072))+~P1(f319(f319(f226(f932(f931(x94071,x94071),a923)),x94073),f319(f319(f246(x94071,x94071),x94072),f319(f16(f932(x94071,a923),x94071),x94072)))) % 219.27/219.53 [9442]~P75(x94421)+~P1(f319(f319(f227(x94421),x94422),x94423))+P1(f319(f319(f227(x94421),f319(f319(f283(x94421),f319(f319(f74(x94421),x94422),x94423)),f319(f319(f74(x94421),f72(x94421)),f72(x94421)))),x94423)) % 219.27/219.53 [9471]~P74(x94711)+P1(f319(f319(f226(x94711),x94712),x94713))+~P1(f319(f319(f226(x94711),f319(f319(f75(x94711),f469(x94713,x94712,x94711)),x94712)),x94713)) % 219.27/219.53 [9609]E(f319(f181(f926(f926(x96091))),f319(f128(f926(x96091),f319(f319(f8(a925,a923,f926(x96091)),f319(f227(a925),x96092)),f181(f926(x96091)))),f171(x96091,x96093))),f319(f181(f926(x96091)),f319(f319(f156(f926(x96091)),x96093),x96092)))+~P14(a925,f319(f160(a925),f319(f319(f146(f926(x96091),a925),f181(f926(x96091))),x96093)))+~P1(f319(f319(f227(a925),x96092),f319(f181(f926(f926(x96091))),x96093))) % 219.27/219.53 [9725]~P38(x97251,x97252)+P28(x97251,f319(f319(f244(f932(f931(x97251,x97251),a923),f932(f931(x97251,x97251),a923)),x97252),x97253))+~P1(f319(f319(f226(f932(f931(x97251,x97251),a923)),f319(f319(f281(x97251,x97251,x97251),x97252),x97253)),x97252)) % 219.27/219.53 [9730]E(f319(f319(f146(f926(x97301),x97301),f319(f319(f7(f926(x97301),a925,x97301),f156(x97301)),x97302)),f319(f128(f926(x97301),f319(f319(f8(a925,a923,f926(x97301)),f319(f227(a925),x97302)),f181(f926(x97301)))),f171(x97301,x97303))),f319(f319(f156(f926(x97301)),x97303),x97302))+~P14(a925,f319(f160(a925),f319(f319(f146(f926(x97301),a925),f181(f926(x97301))),x97303)))+~P1(f319(f319(f227(a925),x97302),f319(f181(f926(f926(x97301))),x97303))) % 219.27/219.53 [9868]P57(x98681,x98682,x98683)+~P1(f319(f319(f321(f931(x98681,x98681)),f319(f319(f244(x98681,x98681),f583(x98683,x98682,x98681)),f583(x98683,x98682,x98681))),x98683))+~P1(f319(f319(f226(f932(f931(x98681,x98681),a923)),x98683),f319(f319(f246(x98681,x98681),x98682),f319(f16(f932(x98681,a923),x98681),x98682)))) % 219.27/219.53 [9869]P57(x98691,x98692,x98693)+~P1(f319(f319(f321(f931(x98691,x98691)),f319(f319(f244(x98691,x98691),f591(x98692,x98693,x98691)),f591(x98692,x98693,x98691))),x98693))+~P1(f319(f319(f226(f932(f931(x98691,x98691),a923)),x98693),f319(f319(f246(x98691,x98691),x98692),f319(f16(f932(x98691,a923),x98691),x98692)))) % 219.27/219.53 [10055]~P145(x100551)+~P128(x100551)+E(f319(f319(f283(x100551),f319(f94(x100551),f319(f319(f66(f931(a1,a1),a1,x100552,f243(a1,a1)),f204(x100552)),x100553))),f319(f94(x100551),f319(f319(f66(f931(a1,a1),a1,x100552,f248(a1,a1)),f204(x100552)),x100553))),f214(x100552,x100551,x100553)) % 219.27/219.53 [10264]~E(x102643,f2(a925))+~E(f319(f181(f926(x102641)),f319(f319(f156(f926(x102641)),x102642),f733(x102643,x102641,x102642))),x102643)+E(f319(f319(f146(a925,f926(x102641)),f319(f319(f7(a925,f926(a925),f926(x102641)),f319(f319(f8(f932(a925,x102641),f932(f926(a925),f926(x102641)),a925),f146(a925,x102641)),f319(f7(a925,a925,x102641),f319(f319(f8(f926(x102641),f932(a925,x102641),a925),f156(x102641)),f319(f156(f926(x102641)),x102642))))),f131(a925,f319(f294(a925,f2(a925)),f319(f181(f926(f926(x102641))),x102642))))),f131(a925,f319(f294(a925,f2(a925)),x102643))),f171(x102641,x102642)) % 219.27/219.53 [10265]E(x102651,f105(f926(x102652)))+~E(f319(f181(f926(x102652)),f319(f319(f156(f926(x102652)),x102651),f733(x102653,x102652,x102651))),x102653)+E(f319(f319(f146(a925,f926(x102652)),f319(f319(f7(a925,f926(a925),f926(x102652)),f319(f319(f8(f932(a925,x102652),f932(f926(a925),f926(x102652)),a925),f146(a925,x102652)),f319(f7(a925,a925,x102652),f319(f319(f8(f926(x102652),f932(a925,x102652),a925),f156(x102652)),f319(f156(f926(x102652)),x102651))))),f131(a925,f319(f294(a925,f2(a925)),f319(f181(f926(f926(x102652))),x102651))))),f131(a925,f319(f294(a925,f2(a925)),x102653))),f171(x102652,x102651)) % 219.27/219.53 [10266]~E(x102663,f2(a925))+E(f319(f319(f146(a925,f926(x102661)),f319(f319(f7(a925,f926(a925),f926(x102661)),f319(f319(f8(f932(a925,x102661),f932(f926(a925),f926(x102661)),a925),f146(a925,x102661)),f319(f7(a925,a925,x102661),f319(f319(f8(f926(x102661),f932(a925,x102661),a925),f156(x102661)),f319(f156(f926(x102661)),x102662))))),f131(a925,f319(f294(a925,f2(a925)),f319(f181(f926(f926(x102661))),x102662))))),f131(a925,f319(f294(a925,f2(a925)),x102663))),f171(x102661,x102662))+P1(f319(f319(f227(a925),f733(x102663,x102661,x102662)),f319(f181(f926(f926(x102661))),x102662))) % 219.27/219.53 [10267]E(x102671,f105(f926(x102672)))+E(f319(f319(f146(a925,f926(x102672)),f319(f319(f7(a925,f926(a925),f926(x102672)),f319(f319(f8(f932(a925,x102672),f932(f926(a925),f926(x102672)),a925),f146(a925,x102672)),f319(f7(a925,a925,x102672),f319(f319(f8(f926(x102672),f932(a925,x102672),a925),f156(x102672)),f319(f156(f926(x102672)),x102671))))),f131(a925,f319(f294(a925,f2(a925)),f319(f181(f926(f926(x102672))),x102671))))),f131(a925,f319(f294(a925,f2(a925)),x102673))),f171(x102672,x102671))+P1(f319(f319(f227(a925),f733(x102673,x102672,x102671)),f319(f181(f926(f926(x102672))),x102671))) % 219.27/219.53 [7946]E(f319(f319(f74(a925),f319(f95(a925),x79461)),f319(f319(f74(a925),f319(f95(a925),x79462)),x79463)),f319(f319(f74(a925),f319(f95(a925),f319(f319(f74(a1),x79461),x79462))),x79463))+P1(f319(a185,f319(f95(a1),x79461)))+P1(f319(a185,f319(f95(a1),x79462))) % 219.27/219.53 [8717]~P1(f319(f55(x87171),x87172))+~P1(f319(f319(f321(x87171),x87173),x87172))+E(f319(a104,f319(f29(x87171),f319(f319(f23(f932(x87171,a923)),x87172),f319(f319(f301(x87171),x87173),f180(f932(x87171,a923)))))),f319(f29(x87171),x87172)) % 219.27/219.53 [8733]~P1(f319(f55(x87331),x87332))+~P1(f319(f319(f321(x87331),x87333),x87332))+E(f319(f319(f74(a925),f72(a925)),f319(f29(x87331),f319(f319(f23(f932(x87331,a923)),x87332),f319(f319(f301(x87331),x87333),f180(f932(x87331,a923)))))),f319(f29(x87331),x87332)) % 219.27/219.53 [8821]~P4(x88211)+~P1(f319(f55(x88211),x88213))+E(f319(f319(f140(x88211,x88211,f5(x88211)),x88212),f131(x88211,f319(f319(f23(f932(x88211,a923)),x88213),f319(f319(f301(x88211),x88212),f180(f932(x88211,a923)))))),f131(x88211,f319(f319(f301(x88211),x88212),x88213))) % 219.27/219.53 [8987]~P1(f319(f55(x89871),x89873))+~P1(f319(f55(x89871),x89872))+E(f319(f319(f74(a925),f319(f29(x89871),f319(f319(f102(f932(x89871,a923)),x89872),x89873))),f319(f29(x89871),f319(f319(f93(f932(x89871,a923)),x89872),x89873))),f319(f319(f74(a925),f319(f29(x89871),x89872)),f319(f29(x89871),x89873))) % 219.27/219.53 [10211]~P26(x102111,f932(f932(x102111,a923),a923),f319(f319(f7(x102111,f932(f931(x102111,x102111),a923),f932(f932(x102111,a923),a923)),f319(f319(f8(f932(x102111,a923),f932(f932(f931(x102111,x102111),a923),f932(f932(x102111,a923),a923)),x102111),f54(x102111)),f319(f319(f7(x102111,f932(x102111,a923),f932(x102111,a923)),f301(x102111)),f180(f932(x102111,a923))))),x102113),x102112)+~P1(f319(f55(x102111),x102112))+E(f319(f29(f932(x102111,a923)),f319(f319(f54(x102111),x102112),x102113)),f319(f29(x102111),x102112)) % 219.27/219.53 [10506]~P41(f932(x105061,a923),f932(x105061,a923),x105062)+~P1(f319(f319(f226(f932(x105061,a923)),x105063),f319(x105062,f87(f932(x105061,a923),f319(f319(f7(f932(x105061,a923),f932(x105061,a923),f932(x105061,a923)),f319(f319(f8(f932(x105061,a923),f932(f932(x105061,a923),f932(x105061,a923)),f932(x105061,a923)),f102(f932(x105061,a923))),f319(f319(f7(f932(x105061,a923),f932(x105061,a923),f932(x105061,a923)),f319(f319(f8(f932(x105061,a923),f932(f932(x105061,a923),f932(x105061,a923)),f932(x105061,a923)),f102(f932(x105061,a923))),x105062)),x105063))),f88(f932(x105061,a923),x105062))))))+P1(f319(f319(f226(f932(x105061,a923)),f87(f932(x105061,a923),f319(f319(f7(f932(x105061,a923),f932(x105061,a923),f932(x105061,a923)),f319(f319(f8(f932(x105061,a923),f932(f932(x105061,a923),f932(x105061,a923)),f932(x105061,a923)),f102(f932(x105061,a923))),f319(f319(f7(f932(x105061,a923),f932(x105061,a923),f932(x105061,a923)),f319(f319(f8(f932(x105061,a923),f932(f932(x105061,a923),f932(x105061,a923)),f932(x105061,a923)),f102(f932(x105061,a923))),x105062)),x105063))),f88(f932(x105061,a923),x105062)))),f319(x105062,f87(f932(x105061,a923),f319(f319(f7(f932(x105061,a923),f932(x105061,a923),f932(x105061,a923)),f319(f319(f8(f932(x105061,a923),f932(f932(x105061,a923),f932(x105061,a923)),f932(x105061,a923)),f102(f932(x105061,a923))),f319(f319(f7(f932(x105061,a923),f932(x105061,a923),f932(x105061,a923)),f319(f319(f8(f932(x105061,a923),f932(f932(x105061,a923),f932(x105061,a923)),f932(x105061,a923)),f102(f932(x105061,a923))),x105062)),x105063))),f88(f932(x105061,a923),x105062)))))) % 219.27/219.53 [8218]~P99(x82181)+P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x82183)))+E(f319(f319(f236(x82181),x82182),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),x82183),x82183)),a89))),f72(x82181)) % 219.27/219.53 [9710]~P99(x97101)+~P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),x97103)))+E(f319(f319(f236(x97101),x97102),f319(f95(a925),f319(f319(f23(a1),f319(f319(f74(a1),x97103),x97103)),a89))),f319(f319(f80(x97101,x97101),f319(f319(f236(x97101),x97102),f319(f95(a925),x97103))),f319(f319(f18(x97101,x97101,x97101),f319(f319(f8(x97101,f932(x97101,x97101),x97101),f75(x97101)),f319(f75(x97101),x97102))),f5(x97101)))) % 219.27/219.53 [10120]~P1(f319(f129(x101201),x101203))+~P1(f319(f319(f321(x101201),x101202),f319(f164(x101201),x101203)))+E(f319(f319(f130(x101201),f319(f181(f926(x101201)),f169(x101201,f319(f319(f8(a923,a923,x101201),a314),f319(f319(f7(x101201,x101201,a923),a316),x101202)),f319(f160(x101201),x101203)))),f319(f160(x101201),x101203)),f319(f319(f143(x101201),x101202),f319(f160(x101201),f169(x101201,f319(f319(f8(a923,a923,x101201),a314),f319(f319(f7(x101201,x101201,a923),a316),x101202)),x101203)))) % 219.27/219.53 [10180]P1(f319(f319(f226(f932(f931(x101801,x101801),a923)),f299(x101801,x101802)),x101803))+~P1(f319(f319(f226(f932(f931(x101801,x101801),a923)),f299(x101801,f180(f932(f931(x101801,x101801),a923)))),x101803))+~P1(f319(f319(f226(f932(f931(x101801,x101801),a923)),f319(f319(f281(x101801,x101801,x101801),f319(f319(f93(f932(f931(x101801,x101801),a923)),f299(x101801,x101802)),x101803)),x101802)),x101803)) % 219.27/219.53 [10033]~P1(f319(f55(x100331),f319(f254(x100331),x100333)))+~P1(f319(f55(x100331),f319(f254(x100331),x100332)))+P1(f319(f55(x100331),f319(f254(x100331),f319(f319(f18(x100331,a923,a923),f319(f319(f8(a923,f932(a923,a923),x100331),a318),x100332)),x100333)))) % 219.27/219.53 [10331]P1(f319(f319(f226(f932(f931(x103311,x103311),a923)),f319(f319(f281(x103311,x103311,x103311),x103312),f299(x103311,x103312))),x103313))+~P1(f319(f319(f226(f932(f931(x103311,x103311),a923)),x103312),x103313))+~P1(f319(f319(f226(f932(f931(x103311,x103311),a923)),f319(f319(f281(x103311,x103311,x103311),f319(f319(f93(f932(f931(x103311,x103311),a923)),f319(f319(f281(x103311,x103311,x103311),x103312),f299(x103311,x103312))),x103313)),x103312)),x103313)) % 219.27/219.53 [10281]~P126(x102812)+E(x102811,f2(x102812))+~E(f319(f319(f74(x102812),f319(f319(f236(x102812),x102813),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x102812),x102811),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f2(x102812)) % 219.27/219.53 [10282]~P126(x102822)+E(x102821,f2(x102822))+~E(f319(f319(f74(x102822),f319(f319(f236(x102822),x102821),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x102822),x102823),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f2(x102822)) % 219.27/219.53 [10288]~P1(f319(f129(x102881),x102883))+~P1(f319(f319(f321(x102881),x102882),f319(f164(x102881),x102883)))+E(f319(f160(x102881),f319(f163(x102881),f319(f319(f130(x102881),f319(f181(f926(x102881)),f169(x102881,f319(f319(f8(a923,a923,x102881),a314),f319(f319(f7(x102881,x102881,a923),a316),x102882)),x102883))),x102883))),f169(x102881,f319(f319(f8(a923,a923,x102881),a314),f319(f319(f7(x102881,x102881,a923),a316),x102882)),f319(f160(x102881),x102883))) % 219.27/219.53 [10377]~P126(x103772)+E(x103771,f2(x103772))+P1(f319(f319(f227(x103772),f2(x103772)),f319(f319(f74(x103772),f319(f319(f236(x103772),x103773),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x103772),x103771),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))))) % 219.27/219.53 [10378]~P126(x103782)+E(x103781,f2(x103782))+P1(f319(f319(f227(x103782),f2(x103782)),f319(f319(f74(x103782),f319(f319(f236(x103782),x103781),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x103782),x103783),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))))) % 219.27/219.53 [10434]~P126(x104341)+P1(f319(f319(f226(x104341),f2(x104341)),x104342))+~P1(f319(f319(f226(x104341),f2(x104341)),f319(f319(f236(x104341),x104342),f319(a104,f319(f319(f75(a925),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),x104343))))) % 219.27/219.53 [5698]~P25(x56981,x56984,x56983)+P25(x56981,x56982,x56983)+~P25(x56981,x56982,x56984) % 219.27/219.53 [5165]~E(x51652,f84(x51653,x51651))+P1(f319(x51651,x51652))+~P1(f319(x51651,x51654)) % 219.27/219.53 [5416]E(f62(x54163,x54162,x54164),x54162)+E(x54161,f757(x54162,x54163,x54164))+~P1(f319(x54164,x54161)) % 219.27/219.53 [6730]E(f62(x67301,x67302,x67303),f79(x67301,x67303))+~E(f798(x67302,x67301,x67303,x67304),x67304)+~P1(f319(x67303,x67304)) % 219.27/219.53 [6944]~P38(x69442,x69444)+~P38(x69441,x69443)+P38(f931(x69441,x69442),f312(x69441,x69442,x69443,x69444)) % 219.27/219.53 [6945]~P39(x69452,x69454)+~P39(x69451,x69453)+P39(f931(x69451,x69452),f312(x69451,x69452,x69453,x69454)) % 219.27/219.53 [5355]~P8(x53554,x53551)+~E(f319(x53551,x53552),f319(x53551,x53553))+P1(f319(f319(x53551,x53552),x53553)) % 219.27/219.53 [5512]~P8(x55124,x55121)+E(f319(x55121,x55122),f319(x55121,x55123))+~P1(f319(f319(x55121,x55122),x55123)) % 219.27/219.53 [5513]~P16(x55134,x55131)+E(f319(x55131,x55132),f319(x55131,x55133))+~P1(f319(f319(x55131,x55132),x55133)) % 219.27/219.53 [5605]~P19(x56053,x56054,x56051)+E(f319(x56051,x56052),f319(f57(x56053,x56054),x56052))+~P1(f319(f55(x56053),x56052)) % 219.27/219.53 [5606]~P10(x56063,x56064,x56061)+E(f319(x56061,x56062),f319(f57(x56063,x56064),x56062))+~P1(f319(f55(x56063),x56062)) % 219.27/219.53 [5731]~P8(x57314,x57311)+~P1(f319(f319(x57311,x57313),x57312))+P1(f319(f319(x57311,x57312),x57313)) % 219.27/219.53 [5732]~P55(x57324,x57321)+~P1(f319(f319(x57321,x57323),x57322))+P1(f319(f319(x57321,x57322),x57323)) % 219.27/219.53 [5733]~P16(x57334,x57331)+~P1(f319(f319(x57331,x57333),x57332))+P1(f319(f319(x57331,x57332),x57333)) % 219.27/219.53 [5734]~P16(x57343,x57341)+P1(f319(f319(x57341,x57342),x57342))+~P1(f319(f319(x57341,x57344),x57342)) % 219.27/219.53 [5735]~P16(x57353,x57351)+P1(f319(f319(x57351,x57352),x57352))+~P1(f319(f319(x57351,x57352),x57354)) % 219.27/219.53 [5805]E(x58051,x58052)+~E(f319(f243(x58053,x58054),x58051),f319(f243(x58053,x58054),x58052))+~E(f319(f248(x58053,x58054),x58051),f319(f248(x58053,x58054),x58052)) % 219.27/219.53 [5832]E(x58321,x58322)+~P1(f319(f42(x58323,x58324),x58322))+~P1(f319(f42(x58323,x58324),x58321)) % 219.27/219.53 [6024]~P79(x60242)+E(f223(x60241,x60242,x60243,x60244),f2(x60242))+P1(f319(f55(x60241),x60244)) % 219.27/219.53 [6074]~P8(x60743,x60742)+~P1(f319(x60741,x60744))+P1(f319(x60741,f839(x60741,x60742,x60743))) % 219.27/219.53 [6171]~P1(f319(f307(x61711,x61712),x61714))+P1(f319(f307(x61711,x61712),x61713))+~P1(f319(f319(x61712,x61713),x61714)) % 219.27/219.53 [6604]P52(x66041,x66042,x66043,x66044)+P1(f319(f319(x66042,x66044),x66043))+~P1(f319(f319(x66042,x66043),x66044)) % 219.27/219.53 [6978]~P30(x69781,x69783,x69784)+P1(f319(x69781,x69782))+~P1(f319(f319(f321(a1),x69782),f295(a1,x69783,x69784))) % 219.27/219.53 [7171]~P8(x71711,x71713)+~P1(f319(x71712,x71714))+P1(f319(f319(f321(x71711),f839(x71712,x71713,x71711)),f262(x71711,x71713))) % 219.27/219.53 [8056]E(x80561,f2(a925))+~P1(f319(x80562,x80563))+P1(f319(x80562,f791(x80562,x80563,x80561,x80564))) % 219.27/219.53 [8138]~P4(x81382)+~P1(f319(f129(x81381),x81384))+P1(f319(f129(x81381),f142(x81381,x81382,x81383,x81384))) % 219.27/219.53 [8184]E(f62(x81841,x81842,x81843),f79(x81841,x81843))+~P1(f319(x81843,x81844))+P1(f319(x81843,f798(x81842,x81841,x81843,x81844))) % 219.27/219.53 [8365]~P1(f319(f55(x83652),x83654))+~P1(f319(f55(x83651),x83653))+P1(f319(f55(f933(x83651,x83652)),f305(x83651,x83652,x83653,x83654))) % 219.27/219.53 [8366]~P1(f319(f129(x83662),x83664))+~P1(f319(f129(x83661),x83663))+P1(f319(f129(f931(x83661,x83662)),f53(x83661,x83662,x83663,x83664))) % 219.27/219.53 [8369]P1(f319(f319(f321(f926(x83691)),f319(f319(f126(x83691),x83692),x83693)),f153(x83691,x83694)))+~P1(f319(f319(f321(f926(x83691)),x83693),f153(x83691,x83694)))+~P1(f319(f319(f321(f926(x83691)),x83692),f153(x83691,x83694))) % 219.27/219.53 [8651]E(x86511,f2(a925))+P1(f319(x86512,x86513))+~P1(f319(x86512,f794(x86512,x86513,x86511,x86514))) % 219.27/219.53 [8690]~P4(x86903)+~P1(f319(f129(x86901),f142(x86901,x86903,x86904,x86902)))+P1(f319(f129(x86901),x86902)) % 219.27/219.53 [8976]~P1(f319(f319(f321(f931(x89761,x89761)),f319(f319(f244(x89761,x89761),x89762),x89764)),f299(x89761,x89763)))+P1(f319(f319(f321(x89761),x89762),f308(x89761,x89763)))+~P1(f319(f319(f321(x89761),x89764),f308(x89761,x89763))) % 219.27/219.53 [5336]~P79(x53362)+E(f319(f319(f6(x53361,x53362),x53363),x53364),f2(x53362))+P1(f319(f55(x53361),x53364)) % 219.27/219.53 [5339]~P78(x53392)+E(f319(f319(f9(x53391,x53392),x53393),x53394),f72(x53392))+P1(f319(f55(x53391),x53394)) % 219.27/219.53 [5477]~P80(x54773)+E(x54771,x54772)+~E(f319(f319(f74(x54773),x54774),x54771),f319(f319(f74(x54773),x54774),x54772)) % 219.27/219.53 [5478]~P81(x54783)+E(x54781,x54782)+~E(f319(f319(f74(x54783),x54784),x54781),f319(f319(f74(x54783),x54784),x54782)) % 219.27/219.53 [5480]~P80(x54803)+E(x54801,x54802)+~E(f319(f319(f74(x54803),x54801),x54804),f319(f319(f74(x54803),x54802),x54804)) % 219.27/219.53 [5573]~P123(x55731)+~E(x55733,f319(f319(f75(x55731),x55732),x55734))+P1(f319(f319(f279(x55731),x55732),x55733)) % 219.27/219.53 [5601]~P6(x56013)+E(x56011,f180(f932(x56012,a923)))+E(f319(f319(f33(x56012,x56013),x56011),f319(f16(x56013,x56012),x56014)),x56014) % 219.27/219.53 [5602]~P6(x56023)+E(x56021,f180(f932(x56022,a923)))+E(f319(f319(f34(x56022,x56023),x56021),f319(f16(x56023,x56022),x56024)),x56024) % 219.27/219.53 [5818]~P113(x58183)+E(x58181,x58182)+~E(f295(x58183,x58184,x58181),f319(f319(f301(x58183),x58182),f180(f932(x58183,a923)))) % 219.27/219.53 [5819]~P113(x58193)+E(x58191,x58192)+~E(f295(x58193,x58191,x58192),f319(f319(f301(x58193),x58194),f180(f932(x58193,a923)))) % 219.27/219.53 [5880]~P36(x58803,x58801,x58804)+P36(x58803,x58801,f319(f319(f143(x58803),x58802),x58804))+P1(f319(x58801,x58802)) % 219.27/219.53 [5982]~P32(x59821,x59822,x59824)+~P1(f319(x59822,x59823))+P32(x59821,x59822,f319(f319(f143(x59821),x59823),x59824)) % 219.27/219.53 [6126]P1(f319(x61261,x61262))+~P1(f319(f240(x61263,x61261),x61264))+~P1(f319(f319(f321(x61263),x61262),x61264)) % 219.27/219.53 [6135]~P32(x61351,x61352,x61354)+~P32(x61351,x61352,x61353)+P32(x61351,x61352,f319(f319(f126(x61351),x61353),x61354)) % 219.27/219.53 [6150]P34(x61501,x61502,x61503)+~P34(x61501,x61502,f319(f319(f143(x61501),x61504),x61503))+P1(f319(x61502,x61504)) % 219.27/219.53 [6151]P36(x61511,x61512,x61513)+~P36(x61511,x61512,f319(f319(f143(x61511),x61514),x61513))+P1(f319(x61512,x61514)) % 219.27/219.53 [6229]P34(x62291,x62292,x62293)+P34(x62291,x62292,x62294)+~P34(x62291,x62292,f319(f319(f126(x62291),x62294),x62293)) % 219.27/219.53 [6248]~P79(x62481)+E(f319(f319(f6(a925,x62481),x62482),f319(f294(a925,x62483),f319(a104,x62484))),f2(x62481))+~P1(f319(f319(f227(a925),x62484),x62483)) % 219.27/219.53 [6253]~P66(x62531)+~E(f39(x62531,x62532,x62533),f39(x62531,x62534,x62533))+E(f39(x62531,f319(f73(x62531),x62532),x62533),f39(x62531,f319(f73(x62531),x62534),x62533)) % 219.27/219.53 [6319]P1(f319(x63191,x63192))+~E(f319(f128(x63193,x63191),x63194),x63194)+~P1(f319(f319(f321(x63193),x63192),f319(f164(x63193),x63194))) % 219.27/219.53 [6338]~E(f319(f319(f74(a925),x63383),x63382),f319(f319(f74(a925),x63381),x63384))+~P1(f319(f319(f227(a925),x63383),x63384))+P1(f319(f319(f227(a925),x63381),x63382)) % 219.27/219.53 [6344]P34(x63441,x63442,x63443)+~P1(f319(x63442,x63444))+~P1(f319(f319(f321(x63441),x63444),f319(f164(x63441),x63443))) % 219.27/219.53 [6383]~P32(x63833,x63831,x63834)+P1(f319(x63831,x63832))+~P1(f319(f319(f321(x63833),x63832),f319(f164(x63833),x63834))) % 219.27/219.53 [6385]~E(f319(f128(x63851,x63852),x63853),f105(x63851))+~P1(f319(x63852,x63854))+~P1(f319(f319(f321(x63851),x63854),f319(f164(x63851),x63853))) % 219.27/219.53 [6386]~E(f169(x63863,x63861,x63864),x63864)+P1(f319(x63861,x63862))+~P1(f319(f319(f321(x63863),x63862),f319(f164(x63863),x63864))) % 219.27/219.53 [6412]~E(x64124,f180(f932(x64122,a923)))+~E(x64123,f180(f932(x64121,a923)))+E(f305(x64121,x64122,x64123,x64124),f180(f932(f933(x64121,x64122),a923))) % 219.27/219.53 [6560]P1(f319(x65601,x65602))+~P1(f319(f152(x65603,x65601),x65604))+~P1(f319(f319(f321(x65603),x65602),f319(f164(x65603),x65604))) % 219.27/219.53 [6699]~P31(x66991,x66993,x66994)+P1(f319(x66991,x66992))+~P1(f319(f319(f321(a925),x66992),f319(f294(a925,x66993),x66994))) % 219.27/219.53 [6839]~P79(x68391)+E(f319(f319(f6(a925,x68391),x68392),f295(a925,x68393,f319(a104,x68394))),f2(x68391))+~P1(f319(f319(f227(a925),f319(a104,x68394)),x68393)) % 219.27/219.53 [6981]~P4(x69811)+E(f319(f319(f23(f932(x69811,a923)),f319(f294(x69811,x69812),x69813)),f319(f294(x69811,x69812),x69814)),f319(f294(x69811,x69814),x69813))+~P1(f319(f319(f226(x69811),x69812),x69814)) % 219.27/219.53 [7052]~E(x70523,x70524)+E(x70521,f2(a925))+P1(f319(f319(f321(x70522),x70523),f319(f164(x70522),f161(x70522,x70521,x70524)))) % 219.27/219.53 [7334]~P1(f319(f319(f321(f926(x73341)),x73344),f153(x73341,x73343)))+P1(f319(f319(f321(x73341),x73342),x73343))+~P1(f319(f319(f321(x73341),x73342),f319(f164(x73341),x73344))) % 219.27/219.53 [7341]~P38(x73411,x73412)+P1(f319(f319(f321(x73411),f630(x73412,x73411,x73413)),x73413))+~P1(f319(f319(f321(x73411),x73414),x73413)) % 219.27/219.53 [7398]~P79(x73981)+E(f319(f319(f319(f59(x73981,x73982,f74(x73981)),x73983),f2(x73981)),x73984),f319(f319(f6(x73982,x73981),x73983),x73984))+~P1(f319(f55(x73982),x73984)) % 219.27/219.53 [7400]~P78(x74001)+E(f319(f319(f319(f59(x74001,x74002,f75(x74001)),x74003),f72(x74001)),x74004),f319(f319(f9(x74002,x74001),x74003),x74004))+~P1(f319(f55(x74002),x74004)) % 219.27/219.53 [7429]P26(x74291,x74292,x74293,x74294)+~E(f319(f29(x74292),f319(f302(x74291,x74292,x74293),x74294)),f319(f29(x74291),x74294))+~P1(f319(f55(x74291),x74294)) % 219.27/219.53 [7618]~P79(x76181)+E(f319(f319(f74(x76181),f319(x76182,x76183)),f319(f319(f6(a925,x76181),x76182),f297(a925,x76183,x76184))),f319(f319(f6(a925,x76181),x76182),f295(a925,x76183,x76184)))+~P1(f319(f319(f226(a925),x76183),x76184)) % 219.27/219.53 [7627]~P79(x76271)+~P26(x76272,x76271,x76273,x76274)+E(f319(f319(f6(x76271,x76271),f25(x76271)),f319(f302(x76272,x76271,x76273),x76274)),f319(f319(f6(x76272,x76271),x76273),x76274)) % 219.27/219.53 [7628]~P78(x76281)+~P26(x76282,x76281,x76283,x76284)+E(f319(f319(f9(x76281,x76281),f25(x76281)),f319(f302(x76282,x76281,x76283),x76284)),f319(f319(f9(x76282,x76281),x76283),x76284)) % 219.27/219.53 [7677]E(f319(f29(f933(x76771,x76772)),f305(x76771,x76772,x76773,x76774)),f319(f319(f74(a925),f319(f29(x76771),x76773)),f319(f29(x76772),x76774)))+~P1(f319(f55(x76772),x76774))+~P1(f319(f55(x76771),x76773)) % 219.27/219.53 [7757]E(x77571,x77572)+P1(f319(f319(f321(x77573),x77571),f319(f164(x77573),f162(x77573,x77572,x77574))))+~P1(f319(f319(f321(x77573),x77571),f319(f164(x77573),x77574))) % 219.27/219.53 [7900]~P1(f319(f319(f226(f932(x79001,a923)),x79004),f319(x79003,x79004)))+~P1(f319(f319(f321(x79001),x79002),x79004))+P1(f319(f319(f321(x79001),x79002),f88(f932(x79001,a923),x79003))) % 219.27/219.53 [7985]~P79(x79851)+E(f319(f319(f74(x79851),f319(f319(f6(a925,x79851),x79852),f319(f294(a925,x79853),x79854))),f319(x79852,x79854)),f319(f319(f6(a925,x79851),x79852),f319(f294(a925,x79853),f319(a104,x79854))))+P1(f319(f319(f227(a925),x79854),x79853)) % 219.27/219.53 [8035]~P26(x80351,x80352,x80353,f234(f932(x80351,a923)))+~P1(f319(f55(x80352),x80354))+P1(f319(f55(x80351),f319(f303(x80351,x80352,x80353),x80354))) % 219.27/219.53 [8153]P1(f319(f319(f321(f926(x81531)),f319(f319(f143(x81531),x81532),x81533)),f153(x81531,x81534)))+~P1(f319(f319(f321(f926(x81531)),x81533),f153(x81531,x81534)))+~P1(f319(f319(f321(x81531),x81532),x81534)) % 219.27/219.53 [8242]~E(f319(f302(x82423,x82421,x82424),f234(f932(x82423,a923))),f234(f932(x82421,a923)))+P1(f319(f55(x82421),x82422))+~P1(f319(f55(x82423),f319(f303(x82423,x82421,x82424),x82422))) % 219.27/219.53 [8337]~P26(x83371,x83373,x83374,x83372)+P1(f319(f55(x83371),x83372))+~P1(f319(f55(x83373),f319(f302(x83371,x83373,x83374),x83372))) % 219.27/219.53 [8359]~E(x83592,x83593)+P1(f319(f319(f321(f931(x83591,x83591)),f319(f319(f244(x83591,x83591),x83592),x83593)),f255(x83591,x83594)))+~P1(f319(f319(f321(x83591),x83592),x83594)) % 219.27/219.53 [8394]~P79(x83941)+E(f319(f319(f74(x83941),f319(f319(f6(a925,x83941),x83942),f295(a925,x83943,x83944))),f319(x83942,f319(a104,x83944))),f319(f319(f6(a925,x83941),x83942),f295(a925,x83943,f319(a104,x83944))))+P1(f319(f319(f227(a925),f319(a104,x83944)),x83943)) % 219.27/219.53 [8454]P1(f319(x84541,x84542))+~P1(f319(x84541,f319(f319(f156(x84543),x84544),f684(x84541,x84544,x84543))))+~P1(f319(f319(f321(x84543),x84542),f319(f164(x84543),x84544))) % 219.27/219.53 [8596]~P1(f319(f319(f321(x85961),x85962),f308(x85961,x85964)))+P1(f319(f319(f321(f926(x85961)),f319(f319(f143(x85961),x85962),x85963)),f308(f926(x85961),f149(x85961,x85964))))+~P1(f319(f319(f321(f926(x85961)),x85963),f308(f926(x85961),f149(x85961,x85964)))) % 219.27/219.53 [8611]~P26(x86112,x86113,x86114,f896(x86114,x86113,x86112,x86111))+P26(x86112,x86113,x86114,f32(f932(x86112,a923),x86111))+E(x86111,f180(f932(f932(x86112,a923),a923))) % 219.27/219.53 [8885]E(x88851,x88852)+~P1(f319(f319(f321(f931(x88853,x88853)),f319(f319(f244(x88853,x88853),x88851),x88852)),f299(x88853,x88854)))+P1(f319(f319(f321(x88853),x88851),f319(f256(x88853,x88853),x88854))) % 219.27/219.53 [9169]E(x91691,f2(a925))+P1(f319(x91692,x91693))+P1(f319(f319(f321(x91694),f794(x91692,x91693,x91691,x91694)),f319(f164(x91694),f161(x91694,x91691,x91693)))) % 219.27/219.53 [9181]E(x91811,f2(a925))+~P1(f319(x91813,x91814))+P1(f319(f319(f321(x91812),f791(x91813,x91814,x91811,x91812)),f319(f164(x91812),f161(x91812,x91811,x91814)))) % 219.27/219.53 [9183]~P27(x91831,x91832,x91833,f234(f932(x91831,a923)),f234(f932(x91832,a923)))+~P1(f319(f55(x91832),x91834))+P1(f319(f55(x91831),f319(f303(x91831,x91832,x91833),x91834))) % 219.27/219.53 [9186]P26(x91862,x91863,x91864,f32(f932(x91862,a923),x91861))+E(x91861,f180(f932(f932(x91862,a923),a923)))+P1(f319(f319(f321(f932(x91862,a923)),f896(x91864,x91863,x91862,x91861)),x91861)) % 219.27/219.53 [9303]~P27(x93033,x93031,x93034,f234(f932(x93033,a923)),f234(f932(x93031,a923)))+P1(f319(f55(x93031),x93032))+~P1(f319(f55(x93033),f319(f303(x93033,x93031,x93034),x93032))) % 219.27/219.53 [9320]P1(f319(f55(x93201),x93202))+~P1(f319(f55(x93204),f319(f302(x93201,x93204,x93203),x93202)))+P1(f319(f319(f321(x93201),f467(x93203,x93204,x93202,x93201)),x93202)) % 219.27/219.53 [9417]~P6(x94172)+E(f319(f319(f58(x94171,x94172,f319(f319(f8(x94172,f932(x94172,x94172),x94171),f102(x94172)),x94173)),f180(x94172)),x94174),f319(f319(f33(x94171,x94172),x94174),x94173))+~P1(f319(f55(x94171),x94174)) % 219.27/219.53 [9418]~P6(x94182)+E(f319(f319(f58(x94181,x94182,f319(f319(f8(x94182,f932(x94182,x94182),x94181),f93(x94182)),x94183)),f234(x94182)),x94184),f319(f319(f34(x94181,x94182),x94184),x94183))+~P1(f319(f55(x94181),x94184)) % 219.27/219.53 [9502]P1(f319(x95021,x95022))+~P1(f319(x95021,f319(f319(f156(x95023),x95024),f719(x95022,x95021,x95024,x95023))))+~P1(f319(f319(f321(x95023),x95022),f319(f164(x95023),x95024))) % 219.27/219.53 [9524]E(x95241,x95242)+~P1(f319(f319(f321(f931(x95243,x95243)),f319(f319(f244(x95243,x95243),x95241),x95242)),f299(x95243,x95244)))+P1(f319(f319(f321(f931(x95243,x95243)),f319(f319(f244(x95243,x95243),x95241),x95242)),f319(f319(f281(x95243,x95243,x95243),x95244),f299(x95243,x95244)))) % 219.27/219.53 [9575]~E(f319(f181(f926(x95751)),x95752),f319(f181(f926(x95751)),x95753))+~P1(f319(f319(f321(f931(f926(x95751),f926(x95751))),f319(f319(f244(f926(x95751),f926(x95751)),x95752),x95753)),f139(x95751,x95754)))+P1(f319(f319(f321(f931(f926(x95751),f926(x95751))),f319(f319(f244(f926(x95751),f926(x95751)),x95752),x95753)),f137(x95751,x95754))) % 219.27/219.53 [9815]P32(x98151,f319(f319(f18(x98151,a923,a923),f319(f319(f8(a923,f932(a923,a923),x98151),a318),f319(f319(f8(a923,a923,x98151),a314),x98152))),f319(a316,x98153)),x98154)+~P1(f319(x98152,x98153))+~P36(x98151,x98152,f319(f319(f143(x98151),x98153),x98154)) % 219.27/219.53 [9994]~P32(x99941,f319(f319(f18(x99941,a923,a923),f319(f319(f8(a923,f932(a923,a923),x99941),a318),f319(f319(f8(a923,a923,x99941),a314),x99942))),f319(a316,x99943)),x99944)+~P1(f319(x99942,x99943))+P36(x99941,x99942,f319(f319(f143(x99941),x99943),x99944)) % 219.27/219.53 [9998]~P36(x99981,x99982,x99984)+~P32(x99981,f319(f319(f18(x99981,a923,a923),f319(f319(f8(a923,f932(a923,a923),x99981),a318),f319(f319(f8(a923,a923,x99981),a314),x99982))),f319(a316,x99983)),x99984)+P36(x99981,x99982,f319(f319(f143(x99981),x99983),x99984)) % 219.27/219.53 [10034]~P70(x100341)+E(f319(f319(f6(a925,x100341),f319(f319(f18(a925,x100341,x100341),f319(f319(f8(x100341,f932(x100341,x100341),a925),f23(x100341)),x100342)),f319(f319(f8(a925,x100341,a925),x100342),f319(f319(f7(a925,a925,a925),f74(a925)),f72(a925))))),f295(a925,x100343,x100344)),f2(x100341))+P1(f319(f319(f226(a925),x100343),x100344)) % 219.27/219.53 [10280]~P38(x102802,x102804)+~P26(x102802,x102801,x102803,f234(f932(x102802,a923)))+P38(x102801,f319(f302(f931(x102802,x102802),f931(x102801,x102801),f250(x102802,x102801,x102802,x102801,x102803,x102803)),x102804)) % 219.27/219.53 [10470]~E(f319(f181(f926(x104701)),x104703),f319(f181(f926(x104701)),x104702))+P1(f319(f319(f321(f931(f926(x104701),f926(x104701))),f319(f319(f244(f926(x104701),f926(x104701)),x104702),x104703)),f150(x104701,x104704)))+~P1(f319(f319(f249(x104701,x104701,a923),f319(f319(f7(x104701,f932(f931(x104701,x104701),a923),f932(x104701,a923)),f319(f319(f8(f932(x104701,f932(f932(f931(x104701,x104701),a923),a923)),f932(f932(f931(x104701,x104701),a923),f932(x104701,a923)),x104701),f7(x104701,f932(f931(x104701,x104701),a923),a923)),f319(f319(f8(f932(x104701,f931(x104701,x104701)),f932(x104701,f932(f932(f931(x104701,x104701),a923),a923)),x104701),f319(f8(f931(x104701,x104701),f932(f932(f931(x104701,x104701),a923),a923),x104701),f321(f931(x104701,x104701)))),f244(x104701,x104701)))),x104704)),f686(x104704,x104703,x104702,x104701))) % 219.27/219.53 [6300]~P65(x63001)+~E(x63002,f2(x63001))+E(f319(f319(f30(x63001),f319(f319(f75(x63001),x63002),x63003)),f319(f319(f75(x63001),x63002),x63004)),f2(x63001)) % 219.27/219.53 [6341]E(x63411,f105(x63412))+E(x63413,f319(f319(f23(a925),f319(f181(f926(x63412)),x63411)),f72(a925)))+E(f136(x63412,f319(f319(f151(x63412,x63411),x63413),x63414)),f136(x63412,x63411)) % 219.27/219.53 [6374]E(x63741,x63742)+P1(f319(x63743,x63742))+~P1(f319(f319(f319(f301(x63744),x63741),x63743),x63742)) % 219.27/219.53 [6390]~P79(x63901)+~P1(f319(f129(x63902),x63904))+E(f319(f157(x63901),f319(f319(f146(x63902,x63901),x63903),x63904)),f319(f319(f6(x63902,x63901),x63903),f319(f164(x63902),x63904))) % 219.27/219.53 [6405]~P78(x64052)+~P1(f319(f55(x64051),x64054))+E(f319(f319(f9(x64051,x64052),f319(f16(x64052,x64051),x64053)),x64054),f319(f319(f236(x64052),x64053),f319(f29(x64051),x64054))) % 219.27/219.53 [6459]~P72(x64592)+E(x64591,f2(x64592))+E(f319(f319(f283(x64592),f319(f319(f75(x64592),x64593),x64591)),f319(f319(f75(x64592),x64594),x64591)),f319(f319(f283(x64592),x64593),x64594)) % 219.27/219.53 [6460]~P72(x64602)+E(x64601,f2(x64602))+E(f319(f319(f283(x64602),f319(f319(f75(x64602),x64601),x64603)),f319(f319(f75(x64602),x64601),x64604)),f319(f319(f283(x64602),x64603),x64604)) % 219.27/219.53 [6461]~P65(x64612)+E(x64611,f2(x64612))+E(f319(f319(f30(x64612),f319(f319(f75(x64612),x64613),x64611)),f319(f319(f75(x64612),x64614),x64611)),f319(f319(f30(x64612),x64613),x64614)) % 219.27/219.53 [6463]~P65(x64632)+E(x64631,f2(x64632))+E(f319(f319(f30(x64632),f319(f319(f75(x64632),x64631),x64633)),f319(f319(f75(x64632),x64631),x64634)),f319(f319(f30(x64632),x64633),x64634)) % 219.27/219.53 [6528]P1(f319(x65281,x65282))+~E(x65283,f319(f319(f74(a925),x65284),x65282))+~P1(f319(x65281,f319(f319(f23(a925),x65283),x65284))) % 219.27/219.53 [6615]~P1(f319(x66152,x66153))+~P1(f319(f152(x66151,x66152),x66154))+P1(f319(f152(x66151,x66152),f319(f319(f143(x66151),x66153),x66154))) % 219.27/219.53 [6656]E(x66561,f105(x66562))+~E(x66563,f319(f319(f23(a925),f319(f181(f926(x66562)),x66561)),f72(a925)))+E(f136(x66562,f319(f319(f151(x66562,x66561),x66563),x66564)),x66564) % 219.27/219.53 [6679]~P107(x66791)+~P1(f319(f319(f226(x66791),x66792),x66794))+P1(f319(f319(f226(x66791),x66792),f319(f319(f102(x66791),x66793),x66794))) % 219.27/219.53 [6680]~P107(x66801)+~P1(f319(f319(f226(x66801),x66802),x66803))+P1(f319(f319(f226(x66801),x66802),f319(f319(f102(x66801),x66803),x66804))) % 219.27/219.53 [6682]~P4(x66821)+~P1(f319(f319(f226(x66821),x66822),x66824))+P1(f319(f319(f226(x66821),x66822),f319(f319(f225(x66821),x66823),x66824))) % 219.27/219.53 [6684]~P4(x66841)+~P1(f319(f319(f226(x66841),x66842),x66843))+P1(f319(f319(f226(x66841),x66842),f319(f319(f225(x66841),x66843),x66844))) % 219.27/219.53 [6685]~P107(x66851)+~P1(f319(f319(f227(x66851),x66852),x66854))+P1(f319(f319(f227(x66851),x66852),f319(f319(f102(x66851),x66853),x66854))) % 219.27/219.53 [6686]~P107(x66861)+~P1(f319(f319(f227(x66861),x66862),x66863))+P1(f319(f319(f227(x66861),x66862),f319(f319(f102(x66861),x66863),x66864))) % 219.27/219.53 [6688]~P4(x66881)+~P1(f319(f319(f227(x66881),x66882),x66884))+P1(f319(f319(f227(x66881),x66882),f319(f319(f225(x66881),x66883),x66884))) % 219.27/219.53 [6690]~P4(x66901)+~P1(f319(f319(f227(x66901),x66902),x66903))+P1(f319(f319(f227(x66901),x66902),f319(f319(f225(x66901),x66903),x66904))) % 219.27/219.53 [6691]~P121(x66911)+~P1(f319(f319(f279(x66911),x66912),x66914))+P1(f319(f319(f279(x66911),x66912),f319(f319(f75(x66911),x66913),x66914))) % 219.27/219.53 [6692]~P121(x66921)+~P1(f319(f319(f279(x66921),x66922),x66923))+P1(f319(f319(f279(x66921),x66922),f319(f319(f75(x66921),x66923),x66924))) % 219.27/219.53 [6780]~E(f319(f319(f156(x67801),x67802),x67803),x67804)+E(f319(f319(f151(x67801,x67802),x67803),x67804),x67802)+~P1(f319(f319(f227(a925),x67803),f319(f181(f926(x67801)),x67802))) % 219.27/219.53 [6823]P1(f319(x68231,x68232))+~P1(f319(x68233,x68232))+~P1(f319(f319(f226(f932(x68234,a923)),x68233),x68231)) % 219.27/219.53 [6856]~E(f319(f319(f151(x68561,x68562),x68563),x68564),x68562)+E(f319(f319(f156(x68561),x68562),x68563),x68564)+~P1(f319(f319(f227(a925),x68563),f319(f181(f926(x68561)),x68562))) % 219.27/219.53 [6870]~P1(f319(f152(x68701,x68702),x68704))+~P1(f319(f152(x68701,x68702),x68703))+P1(f319(f152(x68701,x68702),f319(f319(f126(x68701),x68703),x68704))) % 219.27/219.53 [6977]E(x69771,f180(f932(x69772,a923)))+E(x69773,f180(f932(x69774,a923)))+~E(f319(f319(f246(x69774,x69772),x69773),f319(f16(f932(x69772,a923),x69774),x69771)),f180(f932(f931(x69774,x69772),a923))) % 219.27/219.53 [6997]E(x69971,x69972)+P1(f319(f319(f321(x69973),x69971),x69974))+~P1(f319(f319(f321(x69973),x69971),f319(f319(f301(x69973),x69972),x69974))) % 219.27/219.53 [7014]~P4(x70141)+P1(f319(f319(f226(x70141),x70142),x70143))+~P1(f319(f319(f226(x70141),x70142),f319(f319(f224(x70141),x70144),x70143))) % 219.27/219.53 [7016]~P4(x70161)+P1(f319(f319(f226(x70161),x70162),x70163))+~P1(f319(f319(f226(x70161),x70162),f319(f319(f224(x70161),x70163),x70164))) % 219.27/219.53 [7018]~P108(x70181)+P1(f319(f319(f226(x70181),x70182),x70183))+~P1(f319(f319(f226(x70181),x70182),f319(f319(f93(x70181),x70184),x70183))) % 219.27/219.53 [7020]~P108(x70201)+P1(f319(f319(f226(x70201),x70202),x70203))+~P1(f319(f319(f226(x70201),x70202),f319(f319(f93(x70201),x70203),x70204))) % 219.27/219.53 [7021]~P4(x70211)+P1(f319(f319(f227(x70211),x70212),x70213))+~P1(f319(f319(f227(x70211),x70212),f319(f319(f224(x70211),x70214),x70213))) % 219.27/219.53 [7022]~P4(x70221)+P1(f319(f319(f227(x70221),x70222),x70223))+~P1(f319(f319(f227(x70221),x70222),f319(f319(f224(x70221),x70223),x70224))) % 219.27/219.53 [7043]~E(f319(f319(f156(x70431),x70433),x70434),x70432)+P1(f319(f319(f321(x70431),x70432),f319(f164(x70431),x70433)))+~P1(f319(f319(f227(a925),x70434),f319(f181(f926(x70431)),x70433))) % 219.27/219.53 [7053]~P4(x70531)+~P14(x70531,f319(f319(f143(x70531),x70532),f319(f319(f143(x70531),x70533),x70534)))+P1(f319(f319(f226(x70531),x70532),x70533)) % 219.27/219.53 [7198]~P32(x71982,x71981,x71983)+P1(f319(x71981,f319(f319(f156(x71982),x71983),x71984)))+~P1(f319(f319(f227(a925),x71984),f319(f181(f926(x71982)),x71983))) % 219.27/219.53 [7217]E(x72171,f2(a1))+E(f319(f319(f30(a1),x72172),x72171),x72173)+~P1(f319(f43(x72172,x72171),f319(f319(f244(a1,a1),x72173),x72174))) % 219.27/219.53 [7238]E(f39(a1,x72382,x72381),x72383)+E(x72381,f2(a1))+~P1(f319(f43(x72382,x72381),f319(f319(f244(a1,a1),x72384),x72383))) % 219.27/219.53 [7358]P1(f319(f319(f321(x73581),x73582),x73583))+~P1(f319(f319(f321(x73581),x73582),x73584))+~P1(f319(f319(f227(f932(x73581,a923)),x73584),x73583)) % 219.27/219.53 [7359]P1(f319(f319(f321(x73591),x73592),x73593))+~P1(f319(f319(f321(x73591),x73592),x73594))+~P1(f319(f319(f226(f932(x73591,a923)),x73594),x73593)) % 219.27/219.53 [7370]~P117(x73701)+~E(x73703,f2(x73701))+P1(f319(f319(f279(x73701),f319(f319(f75(x73701),x73702),x73703)),f319(f319(f75(x73701),x73704),x73703))) % 219.27/219.53 [7371]~P117(x73711)+~E(x73712,f2(x73711))+P1(f319(f319(f279(x73711),f319(f319(f75(x73711),x73712),x73713)),f319(f319(f75(x73711),x73712),x73714))) % 219.27/219.53 [7473]P34(x74731,x74732,x74733)+~P1(f319(x74732,f319(f319(f156(x74731),x74733),x74734)))+~P1(f319(f319(f227(a925),x74734),f319(f181(f926(x74731)),x74733))) % 219.27/219.53 [7585]~P3(x75852)+~P1(f319(f319(f227(f932(x75851,x75852)),x75853),x75854))+P1(f319(f319(f226(f932(x75851,x75852)),x75853),x75854)) % 219.27/219.53 [7666]~P25(x76661,x76662,x76664)+P25(x76661,x76662,f319(f319(f301(f924(x76661)),x76663),x76664))+~P25(x76661,x76662,f319(f319(f301(f924(x76661)),x76663),f180(f932(f924(x76661),a923)))) % 219.27/219.53 [7708]~P1(f319(f319(f321(x77081),x77082),x77084))+P1(f319(f319(f321(x77081),x77082),f31(f932(x77081,a923),x77083)))+~P1(f319(f319(f321(f932(x77081,a923)),x77084),x77083)) % 219.27/219.53 [7735]~P90(x77351)+~P1(f319(f319(f226(x77351),x77353),x77354))+P1(f319(f319(f226(x77351),f319(f319(f74(x77351),x77352),x77353)),f319(f319(f74(x77351),x77352),x77354))) % 219.27/219.53 [7736]~P91(x77361)+~P1(f319(f319(f226(x77361),x77363),x77364))+P1(f319(f319(f226(x77361),f319(f319(f74(x77361),x77362),x77363)),f319(f319(f74(x77361),x77362),x77364))) % 219.27/219.53 [7737]~P90(x77371)+~P1(f319(f319(f226(x77371),x77372),x77374))+P1(f319(f319(f226(x77371),f319(f319(f74(x77371),x77372),x77373)),f319(f319(f74(x77371),x77374),x77373))) % 219.27/219.53 [7738]~P91(x77381)+~P1(f319(f319(f226(x77381),x77382),x77384))+P1(f319(f319(f226(x77381),f319(f319(f74(x77381),x77382),x77383)),f319(f319(f74(x77381),x77384),x77383))) % 219.27/219.53 [7739]~P89(x77391)+~P1(f319(f319(f227(x77391),x77393),x77394))+P1(f319(f319(f227(x77391),f319(f319(f74(x77391),x77392),x77393)),f319(f319(f74(x77391),x77392),x77394))) % 219.27/219.53 [7740]~P90(x77401)+~P1(f319(f319(f227(x77401),x77403),x77404))+P1(f319(f319(f227(x77401),f319(f319(f74(x77401),x77402),x77403)),f319(f319(f74(x77401),x77402),x77404))) % 219.27/219.53 [7741]~P89(x77411)+~P1(f319(f319(f227(x77411),x77412),x77414))+P1(f319(f319(f227(x77411),f319(f319(f74(x77411),x77412),x77413)),f319(f319(f74(x77411),x77414),x77413))) % 219.27/219.53 [7742]~P90(x77421)+~P1(f319(f319(f227(x77421),x77422),x77424))+P1(f319(f319(f227(x77421),f319(f319(f74(x77421),x77422),x77423)),f319(f319(f74(x77421),x77424),x77423))) % 219.27/219.53 [7743]~P117(x77431)+~P1(f319(f319(f279(x77431),x77433),x77434))+P1(f319(f319(f279(x77431),f319(f319(f75(x77431),x77432),x77433)),f319(f319(f75(x77431),x77432),x77434))) % 219.27/219.53 [7744]~P117(x77441)+~P1(f319(f319(f279(x77441),x77442),x77444))+P1(f319(f319(f279(x77441),f319(f319(f75(x77441),x77442),x77443)),f319(f319(f75(x77441),x77444),x77443))) % 219.27/219.53 [7751]~P116(x77511)+~P100(x77511)+E(f319(f319(f23(x77511),f319(f319(f75(x77511),x77512),f319(f95(x77511),x77513))),f319(f319(f75(x77511),x77514),f319(f95(x77511),x77513))),f319(f319(f75(x77511),f319(f319(f23(x77511),x77512),x77514)),f319(f95(x77511),x77513))) % 219.27/219.53 [7752]~P146(x77521)+~P100(x77521)+E(f319(f319(f74(x77521),f319(f319(f75(x77521),x77522),f319(f95(x77521),x77523))),f319(f319(f75(x77521),x77524),f319(f95(x77521),x77523))),f319(f319(f75(x77521),f319(f319(f74(x77521),x77522),x77524)),f319(f95(x77521),x77523))) % 219.27/219.53 [7788]~P79(x77881)+E(f319(f319(f74(x77881),f319(x77882,x77883)),f319(f319(f6(a925,x77881),x77882),f295(a925,f319(a104,x77883),x77884))),f319(f319(f6(a925,x77881),x77882),f295(a925,x77883,x77884)))+~P1(f319(f319(f226(a925),x77883),x77884)) % 219.27/219.53 [7800]~P26(x78002,x78001,x78003,f319(f164(x78002),x78004))+~P1(f319(f129(x78002),x78004))+P1(f319(f129(x78001),f319(f319(f146(x78002,x78001),x78003),x78004))) % 219.27/219.53 [7849]~P1(f319(f319(f226(a925),x78492),x78494))+~P1(f319(f319(f226(a925),x78491),x78493))+P1(f319(f319(f226(a925),f319(f319(f75(a925),x78491),x78492)),f319(f319(f75(a925),x78493),x78494))) % 219.27/219.53 [7850]~P1(f319(f319(f226(a925),x78502),x78504))+~P1(f319(f319(f226(a925),x78501),x78503))+P1(f319(f319(f226(a925),f319(f319(f74(a925),x78501),x78502)),f319(f319(f74(a925),x78503),x78504))) % 219.27/219.53 [7853]~P1(f319(f319(f227(a925),x78532),x78534))+~P1(f319(f319(f227(a925),x78531),x78533))+P1(f319(f319(f227(a925),f319(f319(f74(a925),x78531),x78532)),f319(f319(f74(a925),x78533),x78534))) % 219.27/219.53 [7854]~P1(f319(f319(f226(a1),x78542),x78544))+~P1(f319(f319(f227(a1),x78541),x78543))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x78541),x78542)),f319(f319(f74(a1),x78543),x78544))) % 219.27/219.53 [7902]P1(f319(f319(f321(x79021),x79022),x79023))+~P1(f319(f319(f321(x79021),x79022),f32(f932(x79021,a923),x79024)))+~P1(f319(f319(f321(f932(x79021,a923)),x79023),x79024)) % 219.27/219.53 [7918]~P1(f319(x79181,f679(x79181,x79183,x79182)))+P1(f319(x79181,f319(f319(f156(x79182),x79183),x79184)))+~P1(f319(f319(f227(a925),x79184),f319(f181(f926(x79182)),x79183))) % 219.27/219.53 [7923]P1(f319(x79231,x79232))+~P1(f319(f319(f321(x79234),x79232),f319(f164(x79234),x79233)))+P1(f319(f319(f227(a925),f684(x79231,x79233,x79234)),f319(f181(f926(x79234)),x79233))) % 219.27/219.53 [7970]~P3(x79701)+~P1(f319(f319(f227(f932(x79702,x79701)),x79704),x79703))+~P1(f319(f319(f226(f932(x79702,x79701)),x79703),x79704)) % 219.27/219.53 [8013]~P1(f319(x80134,x80132))+~P1(f319(f319(f321(x80131),x80132),x80133))+P1(f319(f319(f321(x80131),x80132),f319(f319(f93(f932(x80131,a923)),x80133),f319(f254(x80131),x80134)))) % 219.27/219.53 [8161]~P1(f319(f319(f321(x81611),x81613),x81614))+~P1(f319(f319(f227(f932(x81611,a923)),x81612),x81614))+P1(f319(f319(f227(f932(x81611,a923)),x81612),f319(f319(f301(x81611),x81613),x81614))) % 219.27/219.53 [8163]E(f319(f319(f93(f932(x81631,a923)),x81632),x81633),f180(f932(x81631,a923)))+~E(f319(f319(f93(f932(x81631,a923)),f31(f932(x81631,a923),x81634)),x81633),f180(f932(x81631,a923)))+~P1(f319(f319(f321(f932(x81631,a923)),x81632),x81634)) % 219.27/219.53 [8238]P1(f319(f319(f321(x82381),x82382),x82383))+~P1(f319(f319(f226(f932(x82381,a923)),x82383),f319(f319(f301(x82381),x82382),x82384)))+P1(f319(f319(f226(f932(x82381,a923)),x82383),x82384)) % 219.27/219.53 [8255]P1(f319(f319(f321(x82552),f679(x82551,x82553,x82552)),f319(f164(x82552),x82553)))+P1(f319(x82551,f319(f319(f156(x82552),x82553),x82554)))+~P1(f319(f319(f227(a925),x82554),f319(f181(f926(x82552)),x82553))) % 219.27/219.53 [8263]~P1(f319(f319(f226(f932(x82631,a923)),x82632),x82634))+P1(f319(f319(f226(f932(x82631,a923)),x82632),x82633))+~P1(f319(f319(f226(f932(x82631,a923)),x82634),x82633)) % 219.27/219.53 [8264]~P1(f319(f319(f227(f932(x82641,a923)),x82642),x82644))+~P1(f319(f319(f226(f932(x82641,a923)),x82644),x82643))+P1(f319(f319(f227(f932(x82641,a923)),x82642),x82643)) % 219.27/219.53 [8265]~P1(f319(f319(f226(f932(x82651,a923)),x82652),x82654))+~P1(f319(f319(f227(f932(x82651,a923)),x82654),x82653))+P1(f319(f319(f227(f932(x82651,a923)),x82652),x82653)) % 219.27/219.53 [8266]~P1(f319(f319(f227(f932(x82661,a923)),x82662),x82664))+P1(f319(f319(f227(f932(x82661,a923)),x82662),x82663))+~P1(f319(f319(f227(f932(x82661,a923)),x82664),x82663)) % 219.27/219.53 [8310]~P1(f319(f319(f321(x83101),x83104),x83103))+~P1(f319(f319(f227(f932(x83101,a923)),x83102),f319(f319(f301(x83101),x83104),x83103)))+P1(f319(f319(f227(f932(x83101,a923)),x83102),x83103)) % 219.27/219.53 [8321]~P90(x83211)+P1(f319(f319(f226(x83211),x83212),x83213))+~P1(f319(f319(f226(x83211),f319(f319(f74(x83211),x83214),x83212)),f319(f319(f74(x83211),x83214),x83213))) % 219.27/219.53 [8323]~P90(x83231)+P1(f319(f319(f226(x83231),x83232),x83233))+~P1(f319(f319(f226(x83231),f319(f319(f74(x83231),x83232),x83234)),f319(f319(f74(x83231),x83233),x83234))) % 219.27/219.53 [8325]~P90(x83251)+P1(f319(f319(f227(x83251),x83252),x83253))+~P1(f319(f319(f227(x83251),f319(f319(f74(x83251),x83254),x83252)),f319(f319(f74(x83251),x83254),x83253))) % 219.27/219.53 [8327]~P90(x83271)+P1(f319(f319(f227(x83271),x83272),x83273))+~P1(f319(f319(f227(x83271),f319(f319(f74(x83271),x83272),x83274)),f319(f319(f74(x83271),x83273),x83274))) % 219.27/219.53 [8377]P1(f319(x83771,x83772))+~E(f319(f319(f130(x83773),f319(f181(f926(x83773)),f169(x83773,x83771,x83774))),x83774),f105(x83773))+~P1(f319(f319(f321(x83773),x83772),f319(f164(x83773),x83774))) % 219.27/219.53 [8497]P1(f319(x84971,x84972))+~P1(f319(f319(f321(x84973),x84972),f319(f164(x84973),x84974)))+P1(f319(f319(f227(a925),f319(f181(f926(x84973)),f319(f128(x84973,x84971),x84974))),f319(f181(f926(x84973)),x84974))) % 219.27/219.53 [8992]~P1(f319(x89921,f762(x89921,x89923,x89922,x89924)))+P1(f319(x89921,f319(f319(f156(x89922),x89923),x89924)))+~P1(f319(f319(f227(a925),x89924),f319(f181(f926(x89922)),x89923))) % 219.27/219.53 [9017]~P26(x90174,x90173,x90171,f234(f932(x90174,a923)))+E(f319(x90171,f892(x90172,x90171,x90173,x90174)),x90172)+~P1(f319(f319(f321(x90173),x90172),f319(f302(x90174,x90173,x90171),f234(f932(x90174,a923))))) % 219.27/219.53 [9085]E(f169(x90851,x90852,x90853),f319(f319(f167(x90851),x90854),x90853))+P1(f319(f319(f227(a925),f744(x90852,x90853,x90851,x90854)),x90854))+P1(f319(f319(f227(a925),x90854),f319(f181(f926(x90851)),x90853))) % 219.27/219.53 [9088]E(f169(x90881,x90882,x90883),f319(f319(f167(x90881),x90884),x90883))+P1(f319(f319(f227(a925),f744(x90882,x90883,x90881,x90884)),x90884))+P1(f319(x90882,f319(f319(f156(x90881),x90883),x90884))) % 219.27/219.53 [9124]P1(f319(x91241,x91242))+~P1(f319(f319(f321(x91244),x91242),f319(f164(x91244),x91243)))+P1(f319(f319(f227(a925),f719(x91242,x91241,x91243,x91244)),f319(f181(f926(x91244)),x91243))) % 219.27/219.53 [9126]E(f169(x91261,x91262,x91263),f319(f319(f167(x91261),x91264),x91263))+P1(f319(f319(f227(a925),x91264),f319(f181(f926(x91261)),x91263)))+P1(f319(f319(f227(a925),f744(x91262,x91263,x91261,x91264)),f319(f181(f926(x91261)),x91263))) % 219.27/219.53 [9133]E(f169(x91331,x91332,x91333),f319(f319(f167(x91331),x91334),x91333))+P1(f319(x91332,f319(f319(f156(x91331),x91333),x91334)))+P1(f319(f319(f227(a925),f744(x91332,x91333,x91331,x91334)),f319(f181(f926(x91331)),x91333))) % 219.27/219.53 [9160]~P129(x91604)+P1(f319(f319(f321(x91601),f665(x91602,x91603,x91601,x91604)),x91603))+P1(f319(f319(f227(x91604),f2(x91604)),f319(f319(f9(x91601,x91604),x91602),x91603))) % 219.27/219.53 [9161]~P129(x91614)+P1(f319(f319(f321(x91611),f669(x91612,x91613,x91611,x91614)),x91613))+P1(f319(f319(f226(x91614),f2(x91614)),f319(f319(f9(x91611,x91614),x91612),x91613))) % 219.27/219.53 [9188]~P1(f319(f55(x91881),x91884))+P1(f319(f319(f321(x91881),f577(x91882,x91883,x91884,x91881)),x91884))+P1(f319(f55(f931(x91881,x91883)),f319(f319(f246(x91881,x91883),x91884),x91882))) % 219.27/219.53 [9221]P1(f319(f319(f321(x92212),f762(x92211,x92213,x92212,x92214)),f319(f164(x92212),x92213)))+P1(f319(x92211,f319(f319(f156(x92212),x92213),x92214)))+~P1(f319(f319(f227(a925),x92214),f319(f181(f926(x92212)),x92213))) % 219.27/219.53 [9352]P1(f319(f319(f226(a925),x93524),f319(f181(f926(x93522)),f169(x93522,x93523,x93521))))+P1(f319(f319(f227(a925),f745(x93521,x93522,x93523,x93524)),x93524))+~P1(f319(f319(f226(a925),x93524),f319(f181(f926(x93522)),x93521))) % 219.27/219.53 [9506]E(f169(x95061,x95062,x95063),f319(f319(f167(x95061),x95064),x95063))+~P1(f319(x95062,f319(f319(f156(x95061),x95063),f744(x95062,x95063,x95061,x95064))))+P1(f319(f319(f227(a925),x95064),f319(f181(f926(x95061)),x95063))) % 219.27/219.53 [9514]E(f169(x95141,x95142,x95143),f319(f319(f167(x95141),x95144),x95143))+~P1(f319(x95142,f319(f319(f156(x95141),x95143),f744(x95142,x95143,x95141,x95144))))+P1(f319(x95142,f319(f319(f156(x95141),x95143),x95144))) % 219.27/219.53 [9518]~P1(f319(f55(x95181),x95183))+~P1(f319(f55(x95182),f319(x95184,f577(x95184,x95182,x95183,x95181))))+P1(f319(f55(f931(x95181,x95182)),f319(f319(f246(x95181,x95182),x95183),x95184))) % 219.27/219.53 [9526]~P129(x95261)+~P1(f319(f319(f226(x95261),f2(x95261)),f319(x95263,f669(x95263,x95264,x95262,x95261))))+P1(f319(f319(f226(x95261),f2(x95261)),f319(f319(f9(x95262,x95261),x95263),x95264))) % 219.27/219.53 [9527]~P129(x95271)+~P1(f319(f319(f227(x95271),f2(x95271)),f319(x95273,f665(x95273,x95274,x95272,x95271))))+P1(f319(f319(f227(x95271),f2(x95271)),f319(f319(f9(x95272,x95271),x95273),x95274))) % 219.27/219.53 [9535]~E(f319(f181(f926(x95354)),x95352),f319(f181(f926(x95354)),x95353))+P1(f319(f319(f321(f931(f926(x95354),f926(x95354))),f319(f319(f244(f926(x95354),f926(x95354)),x95353),x95352)),f150(x95354,x95351)))+P1(f319(f319(f227(a925),f671(x95351,x95352,x95353,x95354)),f319(f181(f926(x95354)),x95353))) % 219.27/219.53 [9588]~P1(f319(x95883,f319(f319(f156(x95882),x95884),f745(x95884,x95882,x95883,x95881))))+P1(f319(f319(f226(a925),x95881),f319(f181(f926(x95882)),f169(x95882,x95883,x95884))))+~P1(f319(f319(f226(a925),x95881),f319(f181(f926(x95882)),x95884))) % 219.27/219.53 [9670]E(f319(f319(f167(x96701),f681(x96702,x96703,x96704,x96701)),x96703),f319(f319(f167(x96701),f681(x96702,x96703,x96704,x96701)),x96704))+~P1(f319(f319(f321(f931(f926(x96701),f926(x96701))),f319(f319(f244(f926(x96701),f926(x96701)),x96704),x96703)),f139(x96701,x96702)))+P1(f319(f319(f227(a925),f319(f181(f926(x96701)),x96704)),f319(f181(f926(x96701)),x96703))) % 219.27/219.53 [9727]~P1(f319(f319(f227(a925),f2(a925)),x97273))+~P1(f319(f319(f227(a925),x97274),x97271))+P1(f319(f319(f227(a925),f319(f319(f74(a925),f319(f319(f75(a925),x97271),f39(a925,x97272,x97273))),x97274)),f319(f319(f75(a925),x97271),x97273))) % 219.27/219.53 [9923]~P3(x99232)+~P1(f319(f319(f226(x99232),f319(x99233,f545(x99234,x99233,x99231,x99232))),f319(x99234,f545(x99234,x99233,x99231,x99232))))+P1(f319(f319(f226(f932(x99231,x99232)),x99233),x99234)) % 219.27/219.53 [9924]~P3(x99242)+~P1(f319(f319(f226(x99242),f319(x99243,f657(x99241,x99244,x99243,x99242))),f319(x99244,f657(x99241,x99244,x99243,x99242))))+P1(f319(f319(f226(f932(x99241,x99242)),x99243),x99244)) % 219.27/219.53 [10039]~P70(x100391)+E(f319(f319(f6(a925,x100391),f319(f319(f18(a925,x100391,x100391),f319(f319(f8(x100391,f932(x100391,x100391),a925),f23(x100391)),x100392)),f319(f319(f8(a925,x100391,a925),x100392),f319(f319(f7(a925,a925,a925),f74(a925)),f72(a925))))),f295(a925,x100393,x100394)),f319(f319(f23(x100391),f319(x100392,x100393)),f319(x100392,f319(f319(f74(a925),x100394),f72(a925)))))+~P1(f319(f319(f226(a925),x100393),x100394)) % 219.27/219.53 [10119]~P38(x101193,f319(f319(f281(x101193,x101193,x101193),x101192),f299(x101193,x101192)))+~P1(f319(f319(f321(f931(x101193,x101193)),f319(f319(f244(x101193,x101193),f319(x101191,f319(a104,f844(x101192,x101191,x101193)))),f319(x101191,f844(x101192,x101191,x101193)))),f299(x101193,x101192)))+E(f319(x101191,f319(f319(f74(a925),f843(x101192,x101191,x101193)),x101194)),f319(x101191,f843(x101192,x101191,x101193))) % 219.27/219.53 [6962]~P65(x69621)+E(f319(f319(f30(x69621),f319(f319(f75(x69621),x69622),x69623)),x69624),f319(f319(f75(x69621),x69622),f319(f319(f30(x69621),x69623),x69624)))+~P1(f319(f319(f279(x69621),x69624),x69623)) % 219.27/219.53 [7047]E(f319(f319(f126(x70471),x70472),x70473),x70474)+~E(x70473,f319(f319(f130(x70471),f319(f181(f926(x70471)),x70472)),x70474))+~E(f319(f319(f167(x70471),f319(f181(f926(x70471)),x70472)),x70474),x70472) % 219.27/219.53 [7105]~P73(x71052)+E(x71051,f2(x71052))+E(f319(f319(f283(x71052),f319(f319(f236(x71052),x71053),x71054)),f319(f319(f236(x71052),x71051),x71054)),f319(f319(f236(x71052),f319(f319(f283(x71052),x71053),x71051)),x71054)) % 219.27/219.53 [7246]~P65(x72461)+E(f319(f319(f30(x72461),f319(f319(f75(x72461),x72462),x72463)),x72464),f319(f319(f75(x72461),f319(f319(f30(x72461),x72462),x72464)),x72463))+~P1(f319(f319(f279(x72461),x72464),x72462)) % 219.27/219.53 [7254]~P108(x72541)+~P1(f319(f319(f226(x72541),x72543),x72544))+P1(f319(f319(f226(x72541),f319(f319(f93(x72541),x72542),x72543)),x72544)) % 219.27/219.53 [7255]~P108(x72551)+~P1(f319(f319(f226(x72551),x72552),x72554))+P1(f319(f319(f226(x72551),f319(f319(f93(x72551),x72552),x72553)),x72554)) % 219.27/219.53 [7257]~P4(x72571)+~P1(f319(f319(f226(x72571),x72573),x72574))+P1(f319(f319(f226(x72571),f319(f319(f224(x72571),x72572),x72573)),x72574)) % 219.27/219.53 [7259]~P4(x72591)+~P1(f319(f319(f226(x72591),x72592),x72594))+P1(f319(f319(f226(x72591),f319(f319(f224(x72591),x72592),x72593)),x72594)) % 219.27/219.53 [7260]~P108(x72601)+~P1(f319(f319(f227(x72601),x72603),x72604))+P1(f319(f319(f227(x72601),f319(f319(f93(x72601),x72602),x72603)),x72604)) % 219.27/219.53 [7261]~P108(x72611)+~P1(f319(f319(f227(x72611),x72612),x72614))+P1(f319(f319(f227(x72611),f319(f319(f93(x72611),x72612),x72613)),x72614)) % 219.27/219.53 [7263]~P4(x72631)+~P1(f319(f319(f227(x72631),x72633),x72634))+P1(f319(f319(f227(x72631),f319(f319(f224(x72631),x72632),x72633)),x72634)) % 219.27/219.53 [7265]~P4(x72651)+~P1(f319(f319(f227(x72651),x72652),x72654))+P1(f319(f319(f227(x72651),f319(f319(f224(x72651),x72652),x72653)),x72654)) % 219.27/219.53 [7288]~P1(f319(x72883,x72884))+~P1(f319(x72882,x72884))+P1(f319(f319(f319(f93(f932(x72881,a923)),x72882),x72883),x72884)) % 219.27/219.53 [7415]P25(x74151,x74152,x74153)+~P25(x74151,x74152,x74154)+~P1(f319(f319(f226(f932(f924(x74151),a923)),x74153),x74154)) % 219.27/219.53 [7778]~P79(x77781)+E(f319(f319(f74(x77781),f319(x77782,x77783)),f319(f319(f6(a925,x77781),x77782),f319(f294(a925,f319(a104,x77783)),x77784))),f319(f319(f6(a925,x77781),x77782),f319(f294(a925,x77783),x77784)))+~P1(f319(f319(f227(a925),x77783),x77784)) % 219.27/219.53 [7796]E(x77961,x77962)+P1(f319(f319(f164(x77963),x77964),x77962))+~P1(f319(f319(f164(x77963),f319(f319(f143(x77963),x77961),x77964)),x77962)) % 219.27/219.53 [7808]~P4(x78081)+P1(f319(f319(f226(x78081),x78082),x78083))+~P1(f319(f319(f226(x78081),f319(f319(f225(x78081),x78084),x78082)),x78083)) % 219.27/219.53 [7810]~P4(x78101)+P1(f319(f319(f226(x78101),x78102),x78103))+~P1(f319(f319(f226(x78101),f319(f319(f225(x78101),x78102),x78104)),x78103)) % 219.27/219.53 [7812]~P107(x78121)+P1(f319(f319(f226(x78121),x78122),x78123))+~P1(f319(f319(f226(x78121),f319(f319(f102(x78121),x78124),x78122)),x78123)) % 219.27/219.53 [7814]~P107(x78141)+P1(f319(f319(f226(x78141),x78142),x78143))+~P1(f319(f319(f226(x78141),f319(f319(f102(x78141),x78142),x78144)),x78143)) % 219.27/219.53 [7815]~P4(x78151)+P1(f319(f319(f227(x78151),x78152),x78153))+~P1(f319(f319(f227(x78151),f319(f319(f225(x78151),x78154),x78152)),x78153)) % 219.27/219.53 [7816]~P4(x78161)+P1(f319(f319(f227(x78161),x78162),x78163))+~P1(f319(f319(f227(x78161),f319(f319(f225(x78161),x78162),x78164)),x78163)) % 219.27/219.53 [7817]~P121(x78171)+P1(f319(f319(f279(x78171),x78172),x78173))+~P1(f319(f319(f279(x78171),f319(f319(f75(x78171),x78174),x78172)),x78173)) % 219.27/219.53 [7818]~P121(x78181)+P1(f319(f319(f279(x78181),x78182),x78183))+~P1(f319(f319(f279(x78181),f319(f319(f75(x78181),x78182),x78184)),x78183)) % 219.27/219.53 [7893]~P1(f319(f319(f321(x78931),x78932),x78934))+P1(f319(f319(f321(x78931),x78932),x78933))+P1(f319(f319(f321(x78931),x78932),f319(f319(f23(f932(x78931,a923)),x78934),x78933))) % 219.27/219.53 [7977]P1(f319(x79771,x79772))+P1(f319(x79773,x79772))+~P1(f319(f319(f319(f102(f932(x79774,a923)),x79773),x79771),x79772)) % 219.27/219.53 [7988]~P1(f319(f319(f321(x79881),x79882),x79884))+~P1(f319(f319(f321(x79881),x79882),x79883))+P1(f319(f319(f321(x79881),x79882),f319(f319(f93(f932(x79881,a923)),x79883),x79884))) % 219.27/219.53 [8036]~P107(x80361)+~P1(f319(f55(x80361),x80364))+E(f319(f319(f58(x80361,x80361,f102(x80361)),x80362),f319(f319(f301(x80361),x80363),x80364)),f319(f319(f102(x80361),x80363),f319(f319(f58(x80361,x80361,f102(x80361)),x80362),x80364))) % 219.27/219.53 [8037]~P108(x80371)+~P1(f319(f55(x80371),x80374))+E(f319(f319(f58(x80371,x80371,f93(x80371)),x80372),f319(f319(f301(x80371),x80373),x80374)),f319(f319(f93(x80371),x80373),f319(f319(f58(x80371,x80371,f93(x80371)),x80372),x80374))) % 219.27/219.53 [8038]~P4(x80381)+~P1(f319(f55(x80381),x80384))+E(f319(f319(f58(x80381,x80381,f224(x80381)),x80382),f319(f319(f301(x80381),x80383),x80384)),f319(f319(f224(x80381),x80383),f319(f319(f58(x80381,x80381,f224(x80381)),x80382),x80384))) % 219.27/219.53 [8039]~P4(x80391)+~P1(f319(f55(x80391),x80394))+E(f319(f319(f58(x80391,x80391,f225(x80391)),x80392),f319(f319(f301(x80391),x80393),x80394)),f319(f319(f225(x80391),x80393),f319(f319(f58(x80391,x80391,f225(x80391)),x80392),x80394))) % 219.27/219.53 [8041]~P116(x80411)+~P100(x80411)+E(f319(f319(f23(x80411),f319(f319(f75(x80411),f319(f95(x80411),x80412)),x80413)),f319(f319(f75(x80411),f319(f95(x80411),x80412)),x80414)),f319(f319(f75(x80411),f319(f95(x80411),x80412)),f319(f319(f23(x80411),x80413),x80414))) % 219.27/219.53 [8042]~P146(x80421)+~P100(x80421)+E(f319(f319(f74(x80421),f319(f319(f75(x80421),f319(f95(x80421),x80422)),x80423)),f319(f319(f75(x80421),f319(f95(x80421),x80422)),x80424)),f319(f319(f75(x80421),f319(f95(x80421),x80422)),f319(f319(f74(x80421),x80423),x80424))) % 219.27/219.53 [8158]E(x81581,x81582)+P1(f319(f319(f321(x81583),x81581),f319(f164(x81583),x81584)))+~P1(f319(f319(f321(x81583),x81581),f319(f164(x81583),f319(f319(f143(x81583),x81582),x81584)))) % 219.27/219.53 [8332]P59(x83321,x83322,x83323)+~P59(x83321,x83322,x83324)+~P1(f319(f319(f226(f932(f931(x83321,x83322),a923)),x83323),x83324)) % 219.27/219.53 [8379]P1(f319(f319(f321(x83791),x83792),x83793))+P1(f319(f319(f321(x83791),x83792),x83794))+~P1(f319(f319(f321(x83791),x83792),f319(f319(f102(f932(x83791,a923)),x83794),x83793))) % 219.27/219.53 [8390]~P57(x83901,x83904,x83903)+~P1(f319(f319(f321(x83901),x83902),x83904))+P1(f319(f319(f321(f931(x83901,x83901)),f319(f319(f244(x83901,x83901),x83902),x83902)),x83903)) % 219.27/219.53 [8402]~P1(f319(f55(x84022),x84024))+~P1(f319(f55(x84021),x84023))+P1(f319(f55(f931(x84021,x84022)),f319(f319(f246(x84021,x84022),x84023),f319(f16(f932(x84022,a923),x84021),x84024)))) % 219.27/219.53 [8403]~P1(f319(f319(f321(x84031),x84032),x84034))+~P1(f319(f319(f226(f932(x84031,a923)),x84033),x84034))+P1(f319(f319(f226(f932(x84031,a923)),f319(f319(f301(x84031),x84032),x84033)),x84034)) % 219.27/219.53 [8410]~P78(x84102)+~P149(x84102)+E(f319(f319(f9(x84101,x84102),f319(f319(f8(a925,x84102,x84101),f92(x84102)),x84103)),x84104),f319(f92(x84102),f319(f319(f9(x84101,a925),x84103),x84104))) % 219.27/219.53 [8411]~P78(x84112)+~P145(x84112)+E(f319(f319(f9(x84111,x84112),f319(f319(f8(a1,x84112,x84111),f94(x84112)),x84113)),x84114),f319(f94(x84112),f319(f319(f9(x84111,a1),x84113),x84114))) % 219.27/219.53 [8435]E(f319(f319(f23(f932(x84351,a923)),x84352),f319(f319(f23(f932(x84351,a923)),x84353),x84354)),x84354)+~P1(f319(f319(f226(f932(x84351,a923)),x84352),x84353))+~P1(f319(f319(f226(f932(x84351,a923)),x84354),x84352)) % 219.27/219.53 [8533]~P1(f319(f55(x85331),x85334))+E(f319(f319(f23(a925),f319(f319(f6(x85331,a925),x85332),x85333)),f319(f319(f6(x85331,a925),x85332),x85334)),f319(f319(f6(x85331,a925),x85332),f319(f319(f23(f932(x85331,a923)),x85333),x85334)))+~P1(f319(f319(f226(f932(x85331,a923)),x85334),x85333)) % 219.27/219.53 [8687]~P9(x86871,x86874,x86873)+~P1(f319(f319(f321(x86871),x86872),x86874))+P1(f319(f319(f321(x86871),x86872),f319(f277(x86871,x86871,x86873),f319(f319(f301(x86871),x86872),f180(f932(x86871,a923)))))) % 219.27/219.53 [8750]~P1(f319(f319(f226(f932(x87501,a923)),x87502),x87503))+~P1(f319(f319(f226(f932(x87501,a923)),x87502),x87504))+P1(f319(f319(f226(f932(x87501,a923)),x87502),f319(f319(f93(f932(x87501,a923)),x87503),x87504))) % 219.27/219.53 [8853]E(x88531,f180(f932(x88532,a923)))+P1(f319(f55(x88533),x88534))+~P1(f319(f55(f931(x88533,x88532)),f319(f319(f246(x88533,x88532),x88534),f319(f16(f932(x88532,a923),x88533),x88531)))) % 219.27/219.53 [8854]E(x88541,f180(f932(x88542,a923)))+P1(f319(f55(x88543),x88544))+~P1(f319(f55(f931(x88542,x88543)),f319(f319(f246(x88542,x88543),x88541),f319(f16(f932(x88543,a923),x88542),x88544)))) % 219.27/219.53 [8927]P1(f319(f319(f321(x89271),x89272),f308(x89271,x89273)))+~P1(f319(f319(f321(x89271),x89274),f308(x89271,x89273)))+~P1(f319(f319(f321(f931(x89271,x89271)),f319(f319(f244(x89271,x89271),x89272),x89274)),x89273)) % 219.27/219.53 [8984]~P38(x89841,x89844)+P1(f319(f319(f321(f931(x89841,x89841)),f319(f319(f244(x89841,x89841),x89843),x89842)),f299(x89841,x89844)))+P38(x89841,f319(f319(f301(f931(x89841,x89841)),f319(f319(f244(x89841,x89841),x89842),x89843)),x89844)) % 219.27/219.53 [8985]~P62(x89851,x89854)+P1(f319(f319(f321(f931(x89851,x89851)),f319(f319(f244(x89851,x89851),x89853),x89852)),f299(x89851,x89854)))+P62(x89851,f319(f319(f301(f931(x89851,x89851)),f319(f319(f244(x89851,x89851),x89852),x89853)),x89854)) % 219.27/219.53 [9068]~E(x90682,x90683)+~P1(f319(f319(f321(x90681),x90682),f319(f164(x90681),x90684)))+P1(f319(f319(f321(f931(x90681,x90681)),f319(f319(f244(x90681,x90681),x90682),x90683)),f319(f164(f931(x90681,x90681)),f319(f319(f173(x90681,x90681),x90684),x90684)))) % 219.27/219.53 [9095]~P41(f932(x90951,a923),f932(x90951,a923),x90953)+~P1(f319(f319(f321(x90951),x90952),f88(f932(x90951,a923),x90953)))+P1(f319(f319(f321(x90951),x90952),f319(x90953,f319(f319(f102(f932(x90951,a923)),x90954),f88(f932(x90951,a923),x90953))))) % 219.27/219.53 [9159]~E(x91593,x91594)+P1(f319(f319(f249(x91591,x91591,a923),a316),x91592))+~P1(f319(f319(f321(f931(x91591,x91591)),x91592),f319(f164(f931(x91591,x91591)),f319(f319(f173(x91591,x91591),x91593),x91594)))) % 219.27/219.53 [9205]P1(f319(f319(f321(f931(f926(x92051),f926(x92051))),f319(f319(f244(f926(x92051),f926(x92051)),x92052),x92053)),f139(x92051,x92054)))+~E(f319(f319(f167(x92051),f319(f181(f926(x92051)),x92052)),x92053),x92052)+~P1(f319(f319(f227(a925),f319(f181(f926(x92051)),x92052)),f319(f181(f926(x92051)),x92053))) % 219.27/219.53 [9208]~P56(x92081,x92084)+~P1(f319(f319(f321(f931(x92081,x92081)),f319(f319(f244(x92081,x92081),x92083),x92082)),x92084))+P1(f319(f319(f321(f931(x92081,x92081)),f319(f319(f244(x92081,x92081),x92082),x92083)),x92084)) % 219.27/219.53 [9301]~P1(f319(f55(x93011),x93014))+P1(f319(f319(f321(x93011),f905(x93012,x93013,x93014,x93011)),x93014))+P1(f319(f55(x93013),f319(f319(f33(x93011,f932(x93013,a923)),x93014),x93012))) % 219.27/219.53 [9302]~P1(f319(f55(x93021),x93024))+P1(f319(f319(f321(x93021),f341(x93022,x93023,x93024,x93021)),x93024))+P1(f319(f55(x93023),f319(f319(f33(x93021,f932(x93023,a923)),x93024),x93022))) % 219.27/219.53 [9390]P1(f319(f319(f321(f931(x93901,x93901)),x93902),f319(f319(f281(x93901,x93901,x93901),x93903),f299(x93901,x93903))))+~P1(f319(f319(f227(a925),f2(a925)),x93904))+~P1(f319(f319(f321(f931(x93901,x93901)),x93902),f319(f319(f175(f931(x93901,x93901),a923),x93904),x93903))) % 219.27/219.53 [9398]~P38(x93981,x93982)+~P1(f319(f319(f321(f931(x93981,x93981)),f319(f319(f244(x93981,x93981),x93984),x93983)),x93982))+~P1(f319(f319(f321(f931(x93981,x93981)),f319(f319(f244(x93981,x93981),x93983),x93984)),x93982)) % 219.27/219.53 [9525]~P1(f319(f55(x95251),x95254))+E(f319(f319(f6(x95251,a925),f319(f319(f8(f932(x95252,a923),a925,x95251),f29(x95252)),x95253)),x95254),f319(f29(f931(x95251,x95252)),f319(f319(f246(x95251,x95252),x95254),x95253)))+P1(f319(f319(f321(x95251),f578(x95253,x95252,x95254,x95251)),x95254)) % 219.27/219.53 [9529]~P1(f319(f129(x95291),x95292))+P1(f319(f129(x95291),f319(f319(f151(x95291,x95292),x95293),x95294)))+P1(f319(f319(f321(x95291),x95294),f319(f319(f23(f932(x95291,a923)),f319(f164(x95291),x95292)),f319(f319(f301(x95291),f319(f319(f156(x95291),x95292),x95293)),f180(f932(x95291,a923)))))) % 219.27/219.53 [9547]~P1(f319(f55(x95472),x95473))+~P1(f319(f55(x95471),f319(x95474,f905(x95474,x95471,x95473,x95472))))+P1(f319(f55(x95471),f319(f319(f33(x95472,f932(x95471,a923)),x95473),x95474))) % 219.27/219.53 [9548]~P1(f319(f55(x95482),x95483))+~P1(f319(f55(x95481),f319(x95484,f341(x95484,x95481,x95483,x95482))))+P1(f319(f55(x95481),f319(f319(f33(x95482,f932(x95481,a923)),x95483),x95484))) % 219.27/219.53 [9626]~P1(f319(f319(f321(f931(x96261,x96261)),x96262),f319(f319(f281(x96261,x96261,x96261),x96264),f299(x96261,x96264))))+P1(f319(f319(f321(f931(x96261,x96261)),x96262),f319(f319(f281(x96261,x96261,x96261),x96263),f299(x96261,x96263))))+~P1(f319(f319(f226(f932(f931(x96261,x96261),a923)),x96264),x96263)) % 219.27/219.53 [9636]E(f319(f319(f167(x96361),f681(x96364,x96363,x96362,x96361)),x96363),f319(f319(f167(x96361),f681(x96364,x96363,x96362,x96361)),x96362))+~P1(f319(f319(f321(f931(f926(x96361),f926(x96361))),f319(f319(f244(f926(x96361),f926(x96361)),x96362),x96363)),f139(x96361,x96364)))+E(f319(f319(f167(x96361),f319(f181(f926(x96361)),x96362)),x96363),x96362) % 219.27/219.53 [9653]~P1(f319(f55(x96531),x96534))+E(f319(f319(f6(x96531,a925),f319(f319(f8(f932(x96532,a923),a925,x96531),f29(x96532)),x96533)),x96534),f319(f29(f931(x96531,x96532)),f319(f319(f246(x96531,x96532),x96534),x96533)))+~P1(f319(f55(x96532),f319(x96533,f578(x96533,x96532,x96534,x96531)))) % 219.27/219.53 [9657]~E(f319(f181(f926(x96571)),x96573),f319(f181(f926(x96571)),x96572))+P1(f319(f319(f321(f931(f926(x96571),f926(x96571))),f319(f319(f244(f926(x96571),f926(x96571)),x96572),x96573)),f150(x96571,x96574)))+P1(f319(f319(f321(f931(x96571,x96571)),f686(x96574,x96573,x96572,x96571)),f319(f164(f931(x96571,x96571)),f319(f319(f173(x96571,x96571),x96572),x96573)))) % 219.27/219.53 [9738]~P1(f319(f319(f321(f931(f926(x97381),f926(x97381))),f319(f319(f244(f926(x97381),f926(x97381)),x97382),x97383)),f139(x97381,x97384)))+E(f319(f319(f167(x97381),f319(f181(f926(x97381)),x97382)),x97383),x97382)+P1(f319(f319(f227(a925),f681(x97384,x97383,x97382,x97381)),f319(f319(f224(a925),f319(f181(f926(x97381)),x97382)),f319(f181(f926(x97381)),x97383)))) % 219.27/219.53 [9762]~P1(f319(f319(f321(f931(f926(x97621),f926(x97621))),f319(f319(f244(f926(x97621),f926(x97621)),x97622),x97623)),f139(x97621,x97624)))+P1(f319(f319(f227(a925),f319(f181(f926(x97621)),x97622)),f319(f181(f926(x97621)),x97623)))+P1(f319(f319(f227(a925),f681(x97624,x97623,x97622,x97621)),f319(f319(f224(a925),f319(f181(f926(x97621)),x97622)),f319(f181(f926(x97621)),x97623)))) % 219.27/219.53 [10186]~P1(f319(f319(f321(f931(f926(x101861),f926(x101861))),f319(f319(f244(f926(x101861),f926(x101861)),x101862),x101863)),f139(x101861,x101864)))+E(f319(f319(f167(x101861),f319(f181(f926(x101861)),x101862)),x101863),x101862)+P1(f319(f319(f321(f931(x101861,x101861)),f319(f319(f244(x101861,x101861),f319(f319(f156(x101861),x101862),f681(x101864,x101863,x101862,x101861))),f319(f319(f156(x101861),x101863),f681(x101864,x101863,x101862,x101861)))),x101864)) % 219.27/219.53 [10187]~P1(f319(f319(f321(f931(f926(x101871),f926(x101871))),f319(f319(f244(f926(x101871),f926(x101871)),x101872),x101873)),f139(x101871,x101874)))+P1(f319(f319(f227(a925),f319(f181(f926(x101871)),x101872)),f319(f181(f926(x101871)),x101873)))+P1(f319(f319(f321(f931(x101871,x101871)),f319(f319(f244(x101871,x101871),f319(f319(f156(x101871),x101872),f681(x101874,x101873,x101872,x101871))),f319(f319(f156(x101871),x101873),f681(x101874,x101873,x101872,x101871)))),x101874)) % 219.27/219.53 [10257]~E(f319(f181(f926(x102571)),x102572),f319(f181(f926(x102571)),x102573))+P1(f319(f319(f321(f931(f926(x102571),f926(x102571))),f319(f319(f244(f926(x102571),f926(x102571)),x102572),x102573)),f150(x102571,x102574)))+~P1(f319(f319(f321(f931(x102571,x102571)),f319(f319(f244(x102571,x102571),f319(f319(f156(x102571),x102572),f671(x102574,x102573,x102572,x102571))),f319(f319(f156(x102571),x102573),f671(x102574,x102573,x102572,x102571)))),x102574)) % 219.27/219.53 [10406]~P79(x104061)+~P1(f319(f55(x104062),x104064))+E(f319(f157(x104061),f319(f319(f146(x104062,x104061),x104063),f84(f926(x104062),f319(f319(f18(f926(x104062),a923,a923),f319(f319(f8(a923,f932(a923,a923),f926(x104062)),a317),f319(f319(f7(f926(x104062),f932(x104062,a923),a923),f319(f319(f8(f932(x104062,a923),f932(f932(x104062,a923),a923),f926(x104062)),a316),f164(x104062))),x104064))),f129(x104062))))),f223(x104062,x104061,x104063,x104064)) % 219.27/219.53 [7629]~P72(x76292)+E(x76291,f2(x76292))+E(f319(f319(f283(x76292),f319(f319(f74(x76292),x76293),f319(f319(f75(x76292),x76294),x76291))),x76291),f319(f319(f74(x76292),x76294),f319(f319(f283(x76292),x76293),x76291))) % 219.27/219.53 [7630]~P65(x76302)+E(x76301,f2(x76302))+E(f319(f319(f30(x76302),f319(f319(f74(x76302),x76303),f319(f319(f75(x76302),x76304),x76301))),x76301),f319(f319(f74(x76302),x76304),f319(f319(f30(x76302),x76303),x76301))) % 219.27/219.53 [7631]~P65(x76312)+E(x76311,f2(x76312))+E(f319(f319(f30(x76312),f319(f319(f74(x76312),x76313),f319(f319(f75(x76312),x76311),x76314))),x76311),f319(f319(f74(x76312),x76314),f319(f319(f30(x76312),x76313),x76311))) % 219.27/219.53 [7857]~P73(x78572)+E(x78571,f2(x78572))+E(f319(f319(f283(x78572),f319(f319(f23(x78572),x78573),f319(f319(f75(x78572),x78571),x78574))),x78571),f319(f319(f23(x78572),f319(f319(f283(x78572),x78573),x78571)),x78574)) % 219.27/219.53 [7858]~P72(x78582)+E(x78581,f2(x78582))+E(f319(f319(f283(x78582),f319(f319(f74(x78582),x78583),f319(f319(f75(x78582),x78584),x78581))),x78581),f319(f319(f74(x78582),f319(f319(f283(x78582),x78583),x78581)),x78584)) % 219.27/219.53 [7859]~P73(x78592)+E(x78591,f2(x78592))+E(f319(f319(f283(x78592),f319(f319(f74(x78592),x78593),f319(f319(f75(x78592),x78591),x78594))),x78591),f319(f319(f74(x78592),f319(f319(f283(x78592),x78593),x78591)),x78594)) % 219.27/219.53 [8565]~P1(f319(f152(x85651,x85653),x85654))+~P1(f319(f152(x85651,x85652),x85654))+P1(f319(f152(x85651,f319(f319(f93(f932(x85651,a923)),x85652),x85653)),x85654)) % 219.27/219.53 [8942]~E(f319(f319(f281(x89421,x89421,x89421),x89422),x89424),f180(f932(f931(x89421,x89421),a923)))+~E(f319(f319(f281(x89421,x89421,x89421),x89422),x89423),f180(f932(f931(x89421,x89421),a923)))+E(f319(f319(f281(x89421,x89421,x89421),x89422),f319(f319(f102(f932(f931(x89421,x89421),a923)),x89423),x89424)),f180(f932(f931(x89421,x89421),a923))) % 219.27/219.53 [9069]~P1(f319(f319(f226(f932(x90691,a923)),x90693),x90694))+~P1(f319(f319(f226(f932(x90691,a923)),x90692),x90694))+P1(f319(f319(f226(f932(x90691,a923)),f319(f319(f102(f932(x90691,a923)),x90692),x90693)),x90694)) % 219.27/219.53 [9453]~P1(f319(f55(x94531),x94534))+~P1(f319(f55(x94531),x94533))+E(f319(f319(f23(a925),f319(f319(f74(a925),f319(f319(f6(x94531,a925),x94532),x94533)),f319(f319(f6(x94531,a925),x94532),x94534))),f319(f319(f6(x94531,a925),x94532),f319(f319(f93(f932(x94531,a923)),x94533),x94534))),f319(f319(f6(x94531,a925),x94532),f319(f319(f102(f932(x94531,a923)),x94533),x94534))) % 219.27/219.53 [9543]~P1(f319(f319(f321(x95431),x95433),x95432))+~P1(f319(f319(f226(f932(x95431,a923)),x95432),f319(f319(f301(x95431),x95433),x95434)))+P1(f319(f319(f226(f932(x95431,a923)),f319(f319(f23(f932(x95431,a923)),x95432),f319(f319(f301(x95431),x95433),f180(f932(x95431,a923))))),x95434)) % 219.27/219.53 [9714]~P1(f319(f319(f321(x97141),x97143),x97142))+P1(f319(f319(f226(f932(x97141,a923)),x97142),f319(f319(f301(x97141),x97143),x97144)))+~P1(f319(f319(f226(f932(x97141,a923)),f319(f319(f23(f932(x97141,a923)),x97142),f319(f319(f301(x97141),x97143),f180(f932(x97141,a923))))),x97144)) % 219.27/219.53 [9804]~P1(f319(f319(f226(a925),x98041),x98043))+~P1(f319(f319(f227(a925),x98042),x98044))+P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),f319(f319(f244(a925,a925),x98041),x98042)),f319(f319(f244(a925,a925),x98043),x98044))),a26)) % 219.27/219.53 [9805]~P1(f319(f319(f226(a925),x98052),x98054))+~P1(f319(f319(f226(a925),x98051),x98053))+P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),f319(f319(f244(a925,a925),x98051),x98052)),f319(f319(f244(a925,a925),x98053),x98054))),a64)) % 219.27/219.53 [10117]~P1(f319(f319(f321(f926(x101171)),x101174),f153(x101171,x101173)))+~P1(f319(f319(f321(f926(x101171)),x101174),f153(x101171,x101172)))+P1(f319(f152(x101171,f319(f319(f93(f932(x101171,a923)),f319(f319(f7(x101171,f932(x101171,a923),a923),f321(x101171)),x101172)),f319(f319(f7(x101171,f932(x101171,a923),a923),f321(x101171)),x101173))),x101174)) % 219.27/219.53 [10223]~P26(x102231,f932(f932(x102231,a923),a923),f319(f319(f7(x102231,f932(f931(x102231,x102231),a923),f932(f932(x102231,a923),a923)),f319(f319(f8(f932(x102231,a923),f932(f932(f931(x102231,x102231),a923),f932(f932(x102231,a923),a923)),x102231),f54(x102231)),f319(f319(f7(x102231,f932(x102231,a923),f932(x102231,a923)),f301(x102231)),f180(f932(x102231,a923))))),x102233),x102232)+~P1(f319(f319(f321(x102231),x102234),x102232))+E(f319(f319(f23(f932(f932(x102231,a923),a923)),f319(f319(f54(x102231),x102232),x102233)),f319(f319(f54(x102231),f319(f319(f301(x102231),x102234),f180(f932(x102231,a923)))),x102233)),f319(f319(f54(x102231),f319(f319(f23(f932(x102231,a923)),x102232),f319(f319(f301(x102231),x102234),f180(f932(x102231,a923))))),x102233)) % 219.27/219.53 [10361]~P57(x103611,x103612,x103614)+~P1(f319(f319(f321(f931(x103611,x103611)),x103613),x103614))+P1(f319(f319(f249(x103611,x103611,a923),f319(f319(f7(x103611,f932(x103611,a923),f932(x103611,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x103611,a923),f932(x103611,a923)),x103611),f8(a923,a923,x103611)),f319(f319(f8(a923,f932(a923,a923),x103611),a317),f319(f319(f7(x103611,f932(x103611,a923),a923),f321(x103611)),x103612)))),f319(f319(f7(x103611,f932(x103611,a923),a923),f321(x103611)),x103612))),x103613)) % 219.27/219.53 [10374]P1(f319(f55(x103741),x103742))+~P1(f319(f55(x103743),f319(f302(x103741,x103743,x103744),x103742)))+~P1(f319(f55(x103741),f319(f254(x103741),f319(f319(f18(x103741,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103741),a317),f319(f319(f7(x103741,f932(x103741,a923),a923),f321(x103741)),x103742))),f319(f319(f7(x103741,x103743,a923),f319(f319(f8(x103743,f932(x103743,a923),x103741),a316),x103744)),f319(x103744,f467(x103744,x103743,x103742,x103741))))))) % 219.27/219.53 [8316]~P73(x83162)+E(x83161,f2(x83162))+E(f319(f319(f283(x83162),f319(f319(f23(x83162),f319(f319(f75(x83162),x83161),x83163)),x83164)),x83161),f319(f319(f23(x83162),x83163),f319(f319(f283(x83162),x83164),x83161))) % 219.27/219.53 [8317]~P73(x83172)+E(x83171,f2(x83172))+E(f319(f319(f283(x83172),f319(f319(f74(x83172),f319(f319(f75(x83172),x83171),x83173)),x83174)),x83171),f319(f319(f74(x83172),x83173),f319(f319(f283(x83172),x83174),x83171))) % 219.27/219.53 [9235]~E(f319(f319(f281(x92351,x92351,x92351),x92353),x92354),f180(f932(f931(x92351,x92351),a923)))+~E(f319(f319(f281(x92351,x92351,x92351),x92352),x92354),f180(f932(f931(x92351,x92351),a923)))+E(f319(f319(f281(x92351,x92351,x92351),f319(f319(f102(f932(f931(x92351,x92351),a923)),x92352),x92353)),x92354),f180(f932(f931(x92351,x92351),a923))) % 219.27/219.53 [10028]~P1(f319(f152(x100281,x100283),x100284))+~P1(f319(f152(x100281,x100282),x100284))+P1(f319(f152(x100281,f319(f319(f18(x100281,a923,a923),f319(f319(f8(a923,f932(a923,a923),x100281),a317),x100282)),x100283)),x100284)) % 219.27/219.53 [10298]P1(f319(x102981,f463(x102982,x102983,x102981,x102984)))+~P1(f319(f55(x102984),f319(f254(x102984),x102981)))+P1(f319(f55(x102983),f319(f254(x102983),f319(f319(f8(f932(x102984,a923),a923,x102983),f81(x102984)),f319(f319(f8(f932(x102984,a923),f932(x102984,a923),x102983),f319(f18(x102984,a923,a923),f319(f319(f8(a923,f932(a923,a923),x102984),a317),x102981))),x102982))))) % 219.27/219.53 [10316]~P1(f319(f55(x103162),f319(f254(x103162),x103163)))+~P1(f319(f55(x103161),f319(f254(x103161),f319(f319(f7(x103161,x103162,a923),x103164),f463(x103164,x103161,x103163,x103162)))))+P1(f319(f55(x103161),f319(f254(x103161),f319(f319(f8(f932(x103162,a923),a923,x103161),f81(x103162)),f319(f319(f8(f932(x103162,a923),f932(x103162,a923),x103161),f319(f18(x103162,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103162),a317),x103163))),x103164))))) % 219.27/219.53 [10385]~P1(f319(f55(x103851),x103854))+P1(f319(f319(f321(x103851),f815(x103852,x103853,x103854,x103851)),x103854))+P1(f319(f55(x103853),f319(f254(x103853),f319(f319(f8(f932(x103851,a923),a923,x103853),f81(x103851)),f319(f319(f8(f932(x103851,a923),f932(x103851,a923),x103853),f319(f18(x103851,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103851),a317),f319(f319(f7(x103851,f932(x103851,a923),a923),f321(x103851)),x103854)))),x103852))))) % 219.27/219.53 [10391]~P1(f319(f55(x103912),x103913))+~P1(f319(f55(x103911),f319(f254(x103911),f319(f319(f7(x103911,x103912,a923),x103914),f815(x103914,x103911,x103913,x103912)))))+P1(f319(f55(x103911),f319(f254(x103911),f319(f319(f8(f932(x103912,a923),a923,x103911),f81(x103912)),f319(f319(f8(f932(x103912,a923),f932(x103912,a923),x103911),f319(f18(x103912,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103912),a317),f319(f319(f7(x103912,f932(x103912,a923),a923),f321(x103912)),x103913)))),x103914))))) % 219.27/219.53 [5241]~E(x52412,x52414)+E(f161(x52411,x52412,x52413),f161(x52411,x52414,x52415))+~E(x52412,f2(a925)) % 219.27/219.53 [5494]E(x54941,x54942)+~E(f161(x54944,x54943,x54941),f161(x54944,x54945,x54942))+E(x54943,f2(a925)) % 219.27/219.53 [6759]E(x67591,x67592)+~E(f319(x67593,x67591),f319(x67593,x67592))+~P26(x67594,x67595,x67593,f234(f932(x67594,a923))) % 219.27/219.53 [7661]E(x76611,x76612)+~P26(x76613,x76614,x76615,f234(f932(x76613,a923)))+~E(f319(f302(x76613,x76614,x76615),x76611),f319(f302(x76613,x76614,x76615),x76612)) % 219.27/219.53 [7911]P26(x79112,x79113,f888(x79114,x79113,x79112,x79111),x79111)+~E(f319(f302(x79113,x79112,x79115),x79114),x79111)+E(x79111,f180(f932(x79112,a923))) % 219.27/219.53 [8446]~P1(f319(f319(x84463,x84462),x84465))+~P1(f319(f319(x84463,x84464),x84462))+P1(f319(f319(f321(x84461),x84462),f291(x84461,x84463,x84464,x84465))) % 219.27/219.53 [8447]~P1(f319(f319(x84473,x84472),x84475))+~P1(f319(f319(x84473,x84474),x84472))+P1(f319(f319(f321(x84471),x84472),f282(x84471,x84473,x84474,x84475))) % 219.27/219.53 [8758]~P26(x87581,x87582,x87583,x87584)+P27(x87581,x87582,x87583,x87584,x87585)+~E(f319(f302(x87581,x87582,x87583),x87584),x87585) % 219.27/219.53 [8892]~P27(x88921,x88923,x88924,x88922,x88925)+~P1(f319(f55(x88923),x88925))+P1(f319(f55(x88921),x88922)) % 219.27/219.53 [8893]~P27(x88933,x88931,x88934,x88935,x88932)+~P1(f319(f55(x88933),x88935))+P1(f319(f55(x88931),x88932)) % 219.27/219.53 [9026]~P26(x90261,x90263,x90265,f234(f932(x90261,a923)))+~P26(x90263,x90262,x90264,f234(f932(x90263,a923)))+P26(x90261,x90262,f319(f66(x90263,x90262,x90261,x90264),x90265),f234(f932(x90261,a923))) % 219.27/219.53 [9603]P1(f319(f319(f321(f931(x96031,x96031)),f319(f319(f244(x96031,x96031),x96032),x96033)),f299(x96031,x96034)))+~P1(f319(f319(f321(f931(x96031,x96031)),f319(f319(f244(x96031,x96031),x96032),x96035)),f299(x96031,x96034)))+~P1(f319(f319(f321(f931(x96031,x96031)),f319(f319(f244(x96031,x96031),x96035),x96033)),f299(x96031,x96034))) % 219.27/219.53 [9643]~P4(x96432)+~P1(f319(f129(x96431),x96435))+P1(f319(f129(x96431),f141(x96431,x96432,x96433,x96434,x96435))) % 219.27/219.53 [5568]~E(x55682,f105(x55681))+E(f319(f319(f126(x55681),x55682),x55683),f319(f319(f143(x55681),x55684),x55685))+~E(x55683,f319(f319(f143(x55681),x55684),x55685)) % 219.27/219.53 [5569]~E(x55692,f105(x55691))+E(f319(f319(f126(x55691),x55692),x55693),f319(f319(f143(x55691),x55694),x55695))+~E(f319(f319(f143(x55691),x55694),x55695),x55693) % 219.27/219.53 [6716]~E(f319(f181(f926(x67161)),x67165),f319(f181(f926(x67162)),x67164))+E(f319(f319(f146(f931(x67161,x67162),x67162),f248(x67161,x67162)),x67163),x67164)+~E(f319(f319(f173(x67161,x67162),x67165),x67164),x67163) % 219.27/219.53 [6717]~E(f319(f181(f926(x67171)),x67174),f319(f181(f926(x67172)),x67175))+E(f319(f319(f146(f931(x67171,x67172),x67171),f243(x67171,x67172)),x67173),x67174)+~E(f319(f319(f173(x67171,x67172),x67174),x67175),x67173) % 219.27/219.53 [7199]~P4(x71991)+~P14(x71991,f319(f319(f146(x71992,x71991),x71993),x71995))+P14(x71991,f319(f319(f146(x71992,x71991),x71993),f319(f128(x71992,x71994),x71995))) % 219.27/219.53 [7342]~P4(x73421)+P14(x73421,f319(f319(f146(x73422,x73421),x73423),f162(x73422,x73424,x73425)))+~P14(x73421,f319(f319(f146(x73422,x73421),x73423),x73425)) % 219.27/219.53 [7365]~P59(x73653,x73652,x73655)+~P59(x73651,x73653,x73654)+P59(x73651,x73652,f319(f319(f281(x73651,x73653,x73652),x73654),x73655)) % 219.27/219.53 [7462]E(x74621,x74622)+~P26(x74623,x74624,x74625,f234(f932(x74623,a923)))+~E(f319(f319(f146(x74623,x74624),x74625),x74621),f319(f319(f146(x74623,x74624),x74625),x74622)) % 219.27/219.53 [7616]~P1(f319(f319(f226(a925),x76161),f319(x76163,x76165)))+P1(f319(f319(f226(a925),x76161),f147(x76162,x76163,x76164)))+~P1(f319(f319(f321(x76162),x76165),f319(f164(x76162),x76164))) % 219.27/219.53 [7617]~P1(f319(f319(f227(a925),x76171),f319(x76173,x76175)))+P1(f319(f319(f227(a925),x76171),f147(x76172,x76173,x76174)))+~P1(f319(f319(f321(x76172),x76175),f319(f164(x76172),x76174))) % 219.27/219.53 [8007]P1(f319(x80071,x80072))+~P1(f319(x80071,x80073))+~P1(f319(f319(f321(x80074),x80072),f319(f164(x80074),f161(x80074,x80075,x80073)))) % 219.27/219.53 [8008]P1(f319(x80081,x80082))+~P1(f319(x80081,x80083))+~P1(f319(f319(f321(x80084),x80083),f319(f164(x80084),f161(x80084,x80085,x80082)))) % 219.27/219.53 [8012]~P113(x80121)+P1(f319(f319(f226(f932(x80121,a923)),f295(x80121,x80122,x80123)),f295(x80121,x80124,x80125)))+P1(f319(f319(f226(x80121),x80122),x80123)) % 219.27/219.53 [8034]~P6(x80341)+P1(f319(f319(f226(x80341),f319(f319(f34(x80342,x80341),x80343),x80344)),f319(x80344,x80345)))+~P1(f319(f319(f321(x80342),x80345),x80343)) % 219.27/219.53 [8104]~P26(x81041,x81042,x81044,x81043)+E(f319(f71(x81041,x81042,x81043,x81044),f319(x81044,x81045)),x81045)+~P1(f319(f319(f321(x81041),x81045),x81043)) % 219.27/219.53 [8105]~P26(x81051,x81052,x81054,x81053)+E(f319(f85(x81051,x81052,x81053,x81054),f319(x81054,x81055)),x81055)+~P1(f319(f319(f321(x81051),x81055),x81053)) % 219.27/219.53 [8305]~P1(f319(x83051,x83055))+P1(f319(x83051,f615(x83051,x83052,x83053,x83054)))+~P1(f319(f319(f321(x83054),x83055),x83053)) % 219.27/219.53 [8306]~P1(f319(x83061,x83065))+P1(f319(x83061,f615(x83061,x83062,x83063,x83064)))+~P1(f319(f319(f321(x83064),x83065),x83062)) % 219.27/219.53 [8400]P1(f319(f55(x84001),x84002))+~P1(f319(f55(x84003),x84004))+~P1(f319(f319(f226(f932(x84001,a923)),x84002),f319(f302(x84003,x84001,x84005),x84004))) % 219.27/219.53 [8569]E(x85691,x85692)+~P26(x85693,x85694,x85695,f319(f319(f102(f932(x85693,a923)),f319(f164(x85693),x85691)),f319(f164(x85693),x85692)))+~E(f319(f319(f146(x85693,x85694),x85695),x85691),f319(f319(f146(x85693,x85694),x85695),x85692)) % 219.27/219.53 [8623]~P113(x86231)+~P1(f319(f319(f227(f932(x86231,a923)),f295(x86231,x86234,x86235)),f295(x86231,x86232,x86233)))+P1(f319(f319(f226(x86231),x86232),x86233)) % 219.27/219.53 [8686]~P26(x86861,x86864,x86865,f234(f932(x86861,a923)))+~P1(f319(f319(f321(x86864),f319(x86865,x86862)),f319(f302(x86861,x86864,x86865),x86863)))+P1(f319(f319(f321(x86861),x86862),x86863)) % 219.27/219.53 [8764]P1(f319(x87641,x87642))+~P1(f319(x87641,f567(x87641,x87643,x87644,x87645)))+~P1(f319(f319(f321(x87645),x87642),x87644)) % 219.27/219.53 [8765]P1(f319(x87651,x87652))+~P1(f319(x87651,f567(x87651,x87653,x87654,x87655)))+~P1(f319(f319(f321(x87655),x87652),x87653)) % 219.27/219.53 [9066]~P26(x90662,x90663,x90661,x90664)+E(f319(x90661,f319(f71(x90662,x90663,x90664,x90661),x90665)),x90665)+~P1(f319(f319(f321(x90663),x90665),f319(f302(x90662,x90663,x90661),x90664))) % 219.27/219.53 [9174]E(x91741,f105(x91742))+E(f319(f319(f143(x91742),x91743),f700(x91744,x91743,x91745,x91741,x91742)),x91741)+~E(f319(f319(f126(x91742),x91741),x91745),f319(f319(f143(x91742),x91743),x91744)) % 219.27/219.53 [9175]E(x91751,f105(x91752))+E(f319(f319(f143(x91752),x91753),f701(x91754,x91751,x91755,x91753,x91752)),x91751)+~E(f319(f319(f126(x91752),x91751),x91754),f319(f319(f143(x91752),x91753),x91755)) % 219.27/219.53 [9193]E(f319(f319(f143(x91932),x91933),f700(x91934,x91933,x91931,x91935,x91932)),x91935)+~E(f319(f319(f126(x91932),x91935),x91931),f319(f319(f143(x91932),x91933),x91934))+E(x91931,f319(f319(f143(x91932),x91933),x91934)) % 219.27/219.53 [9194]E(f319(f319(f143(x91941),x91942),f701(x91944,x91945,x91943,x91942,x91941)),x91945)+~E(f319(f319(f126(x91941),x91945),x91944),f319(f319(f143(x91941),x91942),x91943))+E(f319(f319(f143(x91941),x91942),x91943),x91944) % 219.27/219.53 [9272]~E(f319(f302(x92723,x92722,x92724),f234(f932(x92723,a923))),f234(f932(x92722,a923)))+~E(f319(f302(x92721,x92723,x92725),f234(f932(x92721,a923))),f234(f932(x92723,a923)))+E(f319(f302(x92721,x92722,f319(f66(x92723,x92722,x92721,x92724),x92725)),f234(f932(x92721,a923))),f234(f932(x92722,a923))) % 219.27/219.53 [9650]E(x96501,f105(x96502))+~E(f319(f319(f126(x96502),x96501),x96503),f319(f319(f143(x96502),x96505),x96504))+E(f319(f319(f126(x96502),f701(x96503,x96501,x96504,x96505,x96502)),x96503),x96504) % 219.27/219.53 [9651]E(x96511,f105(x96512))+~E(f319(f319(f126(x96512),x96511),x96515),f319(f319(f143(x96512),x96514),x96513))+E(f319(f319(f126(x96512),f700(x96513,x96514,x96515,x96511,x96512)),x96515),x96513) % 219.27/219.53 [9658]E(f319(f319(f126(x96582),f700(x96584,x96583,x96581,x96585,x96582)),x96581),x96584)+~E(f319(f319(f126(x96582),x96585),x96581),f319(f319(f143(x96582),x96583),x96584))+E(x96581,f319(f319(f143(x96582),x96583),x96584)) % 219.27/219.53 [9659]~E(f319(f319(f126(x96591),x96595),x96594),f319(f319(f143(x96591),x96592),x96593))+E(f319(f319(f126(x96591),f701(x96594,x96595,x96593,x96592,x96591)),x96594),x96593)+E(f319(f319(f143(x96591),x96592),x96593),x96594) % 219.27/219.53 [9660]E(f319(f319(f126(x96601),x96605),f703(x96603,x96602,x96604,x96605,x96601)),x96602)+E(f319(f319(f126(x96601),x96602),f702(x96603,x96602,x96604,x96605,x96601)),x96605)+~E(f319(f319(f126(x96601),x96605),x96604),f319(f319(f126(x96601),x96602),x96603)) % 219.27/219.53 [9697]~P4(x96971)+P14(x96971,f319(f319(f146(x96972,x96971),x96973),f141(x96972,x96971,x96973,x96974,x96975)))+~P14(x96971,f319(f319(f146(x96972,x96971),x96973),x96975)) % 219.27/219.53 [9711]~P63(x97115,x97111,x97114,x97113)+P1(f319(f319(x97111,x97112),f562(x97113,x97114,x97111,x97115,x97112)))+~P1(f319(f319(f321(x97115),x97112),x97114)) % 219.27/219.53 [9712]~P63(x97125,x97121,x97124,x97123)+P1(f319(f319(x97121,x97122),f819(x97123,x97124,x97121,x97125,x97122)))+~P1(f319(f319(f321(x97125),x97122),x97124)) % 219.27/219.53 [9816]~P1(f319(f319(f321(f931(x98161,x98161)),f319(f319(f244(x98161,x98161),x98165),x98163)),f299(x98161,x98164)))+P1(f319(f319(f321(f931(x98161,x98161)),f319(f319(f244(x98161,x98161),x98162),x98163)),f319(f319(f281(x98161,x98161,x98161),x98164),f299(x98161,x98164))))+~P1(f319(f319(f321(f931(x98161,x98161)),f319(f319(f244(x98161,x98161),x98162),x98165)),f319(f319(f281(x98161,x98161,x98161),x98164),f299(x98161,x98164)))) % 219.27/219.53 [9817]~P1(f319(f319(f321(f931(x98171,x98171)),f319(f319(f244(x98171,x98171),x98172),x98175)),f299(x98171,x98174)))+P1(f319(f319(f321(f931(x98171,x98171)),f319(f319(f244(x98171,x98171),x98172),x98173)),f319(f319(f281(x98171,x98171,x98171),x98174),f299(x98171,x98174))))+~P1(f319(f319(f321(f931(x98171,x98171)),f319(f319(f244(x98171,x98171),x98175),x98173)),f319(f319(f281(x98171,x98171,x98171),x98174),f299(x98171,x98174)))) % 219.27/219.53 [9819]P1(f319(f319(f321(f931(f926(x98191),f926(x98191))),f319(f319(f244(f926(x98191),f926(x98191)),x98192),x98193)),f150(x98191,f299(x98191,x98194))))+~P1(f319(f319(f321(f931(f926(x98191),f926(x98191))),f319(f319(f244(f926(x98191),f926(x98191)),x98192),x98195)),f150(x98191,f299(x98191,x98194))))+~P1(f319(f319(f321(f931(f926(x98191),f926(x98191))),f319(f319(f244(f926(x98191),f926(x98191)),x98195),x98193)),f150(x98191,f299(x98191,x98194)))) % 219.27/219.53 [9823]E(f319(f319(f126(x98231),x98232),f702(x98233,x98232,x98234,x98235,x98231)),x98235)+E(f319(f319(f126(x98231),f703(x98233,x98232,x98234,x98235,x98231)),x98233),x98234)+~E(f319(f319(f126(x98231),x98232),x98233),f319(f319(f126(x98231),x98235),x98234)) % 219.27/219.53 [9824]E(f319(f319(f126(x98241),x98242),f703(x98243,x98244,x98245,x98242,x98241)),x98244)+E(f319(f319(f126(x98241),f702(x98243,x98244,x98245,x98242,x98241)),x98245),x98243)+~E(f319(f319(f126(x98241),x98242),x98245),f319(f319(f126(x98241),x98244),x98243)) % 219.27/219.53 [9879]P1(f319(f319(f321(f931(x98791,x98791)),f319(f319(f244(x98791,x98791),x98792),x98793)),f319(f319(f281(x98791,x98791,x98791),x98794),f299(x98791,x98794))))+~P1(f319(f319(f321(f931(x98791,x98791)),f319(f319(f244(x98791,x98791),x98792),x98795)),f319(f319(f281(x98791,x98791,x98791),x98794),f299(x98791,x98794))))+~P1(f319(f319(f321(f931(x98791,x98791)),f319(f319(f244(x98791,x98791),x98795),x98793)),f319(f319(f281(x98791,x98791,x98791),x98794),f299(x98791,x98794)))) % 219.27/219.53 [9908]P35(x99081,x99082,x99083,x99084,x99085)+~E(f319(f181(f926(x99081)),x99084),f319(f181(f926(x99082)),x99085))+~P1(f319(f319(f249(x99081,x99082,a923),x99083),f720(x99085,x99084,x99083,x99082,x99081))) % 219.27/219.53 [9909]P35(x99091,x99092,x99093,x99094,x99095)+~E(f319(f181(f926(x99091)),x99094),f319(f181(f926(x99092)),x99095))+~P1(f319(f319(f249(x99091,x99092,a923),x99093),f721(x99093,x99095,x99094,x99092,x99091))) % 219.27/219.53 [9914]E(f319(f319(f126(x99141),f702(x99142,x99143,x99144,x99145,x99141)),x99144),x99142)+~E(f319(f319(f126(x99141),x99143),x99142),f319(f319(f126(x99141),x99145),x99144))+E(f319(f319(f126(x99141),f703(x99142,x99143,x99144,x99145,x99141)),x99142),x99144) % 219.27/219.53 [9930]~P4(x99302)+E(f319(f319(f140(x99301,x99302,x99303),x99304),x99305),f319(f319(f143(x99301),x99304),x99305))+P1(f319(f319(f321(x99301),f766(x99304,x99303,x99305,x99301,x99302)),f319(f164(x99301),x99305))) % 219.27/219.53 [9935]~P63(x99351,x99354,x99353,x99352)+~P1(f319(f319(f321(x99351),x99355),x99353))+P1(f319(f319(f321(x99351),f562(x99352,x99353,x99354,x99351,x99355)),x99352)) % 219.27/219.53 [9936]~P63(x99361,x99364,x99363,x99362)+~P1(f319(f319(f321(x99361),x99365),x99363))+P1(f319(f319(f321(x99361),f819(x99362,x99363,x99364,x99361,x99365)),x99362)) % 219.27/219.53 [10064]~P1(f319(f319(f321(f931(f932(x100641,a923),f932(x100641,a923))),f319(f319(f244(f932(x100641,a923),f932(x100641,a923)),x100644),x100643)),f311(x100641,x100642)))+~P1(f319(f319(f321(x100641),x100645),x100644))+P1(f319(f319(f321(x100641),f619(x100642,x100643,x100644,x100641,x100645)),x100643)) % 219.27/219.53 [10074]~P4(x100742)+E(f319(f319(f140(x100741,x100742,x100743),x100744),x100745),f319(f319(f143(x100741),x100744),x100745))+~P1(f319(f319(f226(x100742),f319(x100743,x100744)),f319(x100743,f766(x100744,x100743,x100745,x100741,x100742)))) % 219.27/219.53 [10126]~P26(x101263,x101264,x101265,f234(f932(x101263,a923)))+P1(f319(x101261,x101262))+~P1(f319(x101261,f319(f85(x101263,x101264,f234(f932(x101263,a923)),x101265),f793(x101262,x101261,x101265,x101264,x101263)))) % 219.27/219.53 [10274]P35(x102741,x102742,x102743,x102744,x102745)+~E(f319(f181(f926(x102741)),x102744),f319(f181(f926(x102742)),x102745))+~P1(f319(f319(x102743,f319(f319(f156(x102741),x102744),f722(x102745,x102744,x102743,x102742,x102741))),f319(f319(f156(x102742),x102745),f722(x102745,x102744,x102743,x102742,x102741)))) % 219.27/219.53 [10275]P35(x102751,x102752,x102753,x102754,x102755)+~E(f319(f181(f926(x102751)),x102754),f319(f181(f926(x102752)),x102755))+~P1(f319(f319(x102753,f319(f319(f156(x102751),x102754),f755(x102753,x102755,x102752,x102754,x102751))),f319(f319(f156(x102752),x102755),f755(x102753,x102755,x102752,x102754,x102751)))) % 219.27/219.53 [6789]~P18(x67892,x67895,x67891)+~P1(f319(f55(x67892),x67894))+E(f319(x67891,f319(f319(f301(x67892),x67893),x67894)),f319(f319(f58(x67892,x67892,x67895),x67893),x67894)) % 219.27/219.53 [6790]~E(x67903,x67904)+~E(x67902,x67905)+E(f319(f319(f301(x67901),x67902),f319(f319(f301(x67901),x67903),f180(f932(x67901,a923)))),f319(f319(f301(x67901),x67904),f319(f319(f301(x67901),x67905),f180(f932(x67901,a923))))) % 219.27/219.53 [6800]P1(f319(x68002,x68005))+E(f169(x68001,x68002,f319(f319(f126(x68001),x68003),x68004)),f169(x68001,x68002,x68003))+~P1(f319(f319(f321(x68001),x68005),f319(f164(x68001),x68003))) % 219.27/219.53 [6842]E(f319(x68421,x68422),f234(f932(x68423,a923)))+~E(f319(f319(f34(x68424,f932(x68423,a923)),x68425),x68421),f234(f932(x68423,a923)))+~P1(f319(f319(f321(x68424),x68422),x68425)) % 219.27/219.53 [6843]E(f319(x68431,x68432),f180(f932(x68433,a923)))+~E(f319(f319(f33(x68434,f932(x68433,a923)),x68435),x68431),f180(f932(x68433,a923)))+~P1(f319(f319(f321(x68434),x68432),x68435)) % 219.27/219.53 [7352]~E(x73522,x73524)+~P148(x73521)+E(f319(f319(f74(x73521),f319(f319(f75(x73521),x73522),x73523)),f319(f319(f75(x73521),x73524),x73525)),f319(f319(f74(x73521),f319(f319(f75(x73521),x73522),x73525)),f319(f319(f75(x73521),x73524),x73523))) % 219.27/219.53 [7414]~P6(x74141)+~P1(f319(f319(f321(x74144),x74143),x74145))+P1(f319(f319(f226(x74141),f319(x74142,x74143)),f319(f319(f33(x74144,x74141),x74145),x74142))) % 219.27/219.53 [7467]~P3(x74671)+P1(f319(f319(f226(x74671),f319(x74672,x74673)),f319(x74674,x74673)))+~P1(f319(f319(f226(f932(x74675,x74671)),x74672),x74674)) % 219.27/219.53 [7586]E(x75861,x75862)+E(x75863,x75861)+~E(f319(f319(f301(x75864),x75861),f319(f319(f301(x75864),x75865),f180(f932(x75864,a923)))),f319(f319(f301(x75864),x75862),f319(f319(f301(x75864),x75863),f180(f932(x75864,a923))))) % 219.27/219.53 [7587]E(x75871,x75872)+E(x75873,x75871)+~E(f319(f319(f301(x75874),x75873),f319(f319(f301(x75874),x75872),f180(f932(x75874,a923)))),f319(f319(f301(x75874),x75875),f319(f319(f301(x75874),x75871),f180(f932(x75874,a923))))) % 219.27/219.53 [7588]E(x75881,x75882)+E(x75881,x75883)+~E(f319(f319(f301(x75884),x75883),f319(f319(f301(x75884),x75882),f180(f932(x75884,a923)))),f319(f319(f301(x75884),x75885),f319(f319(f301(x75884),x75881),f180(f932(x75884,a923))))) % 219.27/219.53 [7589]E(x75891,x75892)+E(x75891,x75893)+~E(f319(f319(f301(x75894),x75891),f319(f319(f301(x75894),x75895),f180(f932(x75894,a923)))),f319(f319(f301(x75894),x75892),f319(f319(f301(x75894),x75893),f180(f932(x75894,a923))))) % 219.27/219.53 [8114]P26(x81141,x81142,x81143,x81144)+~P26(x81141,x81142,x81143,x81145)+~P1(f319(f319(f226(f932(x81141,a923)),x81144),x81145)) % 219.27/219.53 [8144]~E(f319(x81443,x81445),x81444)+~P26(x81441,x81442,x81443,f234(f932(x81441,a923)))+E(f319(f85(x81441,x81442,f234(f932(x81441,a923)),x81443),x81444),x81445) % 219.27/219.53 [8293]E(x82931,x82932)+~E(f319(f302(x82933,x82934,x82935),x82931),f319(f302(x82933,x82934,x82935),x82932))+~P26(x82933,x82934,x82935,f319(f319(f102(f932(x82933,a923)),x82931),x82932)) % 219.27/219.53 [8368]P1(f319(x83682,x83684))+E(f319(f319(f130(x83681),f319(f181(f926(x83681)),f169(x83681,x83682,x83683))),x83683),f319(f319(f143(x83681),x83684),x83685))+~E(f319(f319(f126(x83681),f169(x83681,x83682,x83683)),f319(f319(f143(x83681),x83684),x83685)),x83683) % 219.27/219.53 [8398]~P26(x83981,x83982,x83983,x83985)+~P26(x83981,x83982,x83983,x83984)+P26(x83981,x83982,x83983,f319(f319(f93(f932(x83981,a923)),x83984),x83985)) % 219.27/219.53 [8507]~P79(x85071)+E(f319(f319(f74(x85071),f319(x85072,x85073)),f319(f157(x85071),f319(f319(f146(x85074,x85071),x85072),f162(x85074,x85073,x85075)))),f319(f157(x85071),f319(f319(f146(x85074,x85071),x85072),x85075)))+~P1(f319(f319(f321(x85074),x85073),f319(f164(x85074),x85075))) % 219.27/219.53 [8595]~P4(x85951)+~P14(x85951,f319(f319(f146(x85952,x85951),x85953),x85955))+P14(x85951,f319(f319(f146(x85952,x85951),x85953),f319(f319(f140(x85952,x85951,x85953),x85954),x85955))) % 219.27/219.53 [8682]~P6(x86821)+P1(f319(f319(f226(x86821),f319(f319(f33(x86822,x86821),x86823),x86824)),f319(f319(f33(x86822,x86821),x86825),x86824)))+~P1(f319(f319(f226(f932(x86822,a923)),x86823),x86825)) % 219.27/219.53 [8683]~P6(x86831)+P1(f319(f319(f226(x86831),f319(f319(f34(x86832,x86831),x86833),x86834)),f319(f319(f34(x86832,x86831),x86835),x86834)))+~P1(f319(f319(f226(f932(x86832,a923)),x86835),x86833)) % 219.27/219.53 [8719]~P4(x87193)+P1(f319(f129(x87191),x87192))+~P1(f319(f129(x87191),f319(f319(f140(x87191,x87193,x87194),x87195),x87192))) % 219.27/219.53 [8864]~P4(x88641)+~P1(f319(f319(f321(x88642),x88643),f319(f164(x88642),x88644)))+~P1(f319(f129(x88642),f319(f319(f140(x88642,x88641,x88645),x88643),x88644))) % 219.27/219.53 [8954]~P4(x89541)+P14(x89541,f319(f319(f146(x89542,x89541),x89543),x89544))+~P14(x89541,f319(f319(f146(x89542,x89541),x89543),f319(f319(f140(x89542,x89541,x89543),x89545),x89544))) % 219.27/219.53 [9001]~P26(x90012,x90011,x90014,x90013)+E(f319(f302(x90011,x90012,f85(x90012,x90011,x90013,x90014)),f319(f302(x90012,x90011,x90014),x90015)),x90015)+~P1(f319(f319(f226(f932(x90012,a923)),x90015),x90013)) % 219.27/219.53 [9054]~P4(x90542)+E(f319(f319(f140(x90541,x90542,x90543),x90544),x90545),f141(x90541,x90542,x90543,x90544,x90545))+P1(f319(f319(f321(x90542),f319(x90543,x90544)),f319(f302(x90541,x90542,x90543),f319(f164(x90541),x90545)))) % 219.27/219.53 [9136]~P4(x91362)+E(f141(x91361,x91362,x91363,x91364,x91365),x91365)+~P1(f319(f319(f321(x91362),f319(x91363,x91364)),f319(f302(x91361,x91362,x91363),f319(f164(x91361),x91365)))) % 219.27/219.53 [9152]~P26(x91522,x91521,x91523,x91525)+P1(f319(f319(f227(f932(x91521,a923)),f319(f302(x91522,x91521,x91523),x91524)),f319(f302(x91522,x91521,x91523),x91525)))+~P1(f319(f319(f227(f932(x91522,a923)),x91524),x91525)) % 219.27/219.53 [9313]~P26(x93131,x93132,x93133,f234(f932(x93131,a923)))+~P1(f319(f319(f226(f932(x93132,a923)),x93134),f319(f302(x93131,x93132,x93133),x93135)))+P1(f319(f319(f226(f932(x93131,a923)),f319(f303(x93131,x93132,x93133),x93134)),x93135)) % 219.27/219.53 [9337]~E(f319(f302(x93373,x93371,x93374),f234(f932(x93373,a923))),f234(f932(x93371,a923)))+P1(f319(f319(f226(f932(x93371,a923)),x93372),f319(f302(x93373,x93371,x93374),x93375)))+~P1(f319(f319(f226(f932(x93373,a923)),f319(f303(x93373,x93371,x93374),x93372)),x93375)) % 219.27/219.53 [9446]~P26(x94461,x94464,x94465,f234(f932(x94461,a923)))+~P1(f319(f319(f226(f932(x94464,a923)),f319(f302(x94461,x94464,x94465),x94462)),f319(f302(x94461,x94464,x94465),x94463)))+P1(f319(f319(f226(f932(x94461,a923)),x94462),x94463)) % 219.27/219.53 [9571]~P88(x95711)+~E(f319(x95713,f741(x95713,x95714,x95715,x95712,x95711)),f2(x95711))+E(f319(f157(x95711),f319(f319(f146(x95712,x95711),x95713),f319(f128(x95712,x95714),x95715))),f319(f157(x95711),f319(f319(f146(x95712,x95711),x95713),x95715))) % 219.27/219.53 [9598]~P27(x95981,x95982,x95983,f234(f932(x95981,a923)),f234(f932(x95982,a923)))+~P1(f319(f319(f226(f932(x95982,a923)),x95984),f319(f302(x95981,x95982,x95983),x95985)))+P1(f319(f319(f226(f932(x95981,a923)),f319(f303(x95981,x95982,x95983),x95984)),x95985)) % 219.27/219.53 [9627]~P27(x96273,x96271,x96274,f234(f932(x96273,a923)),f234(f932(x96271,a923)))+P1(f319(f319(f226(f932(x96271,a923)),x96272),f319(f302(x96273,x96271,x96274),x96275)))+~P1(f319(f319(f226(f932(x96273,a923)),f319(f303(x96273,x96271,x96274),x96272)),x96275)) % 219.27/219.53 [9755]~P17(x97551,x97552,x97553)+~P1(f319(f55(x97551),x97555))+P1(f319(f60(x97551,x97552,x97553,x97554,x97555),f319(f319(f58(x97551,x97552,x97553),x97554),x97555))) % 219.27/219.53 [9836]~P27(x98362,x98361,x98364,f234(f932(x98362,a923)),f234(f932(x98361,a923)))+~P27(x98361,x98363,x98365,f234(f932(x98361,a923)),f234(f932(x98363,a923)))+E(f319(f66(x98361,x98362,x98363,f85(x98362,x98361,f234(f932(x98362,a923)),x98364)),f85(x98361,x98363,f234(f932(x98361,a923)),x98365)),f85(x98362,x98363,f234(f932(x98362,a923)),f319(f66(x98361,x98363,x98362,x98365),x98364))) % 219.27/219.53 [9837]P1(f319(x98371,f664(x98372,x98371,x98373,x98374,x98375)))+~P1(f319(f319(f226(f932(x98375,a923)),x98374),x98373))+P1(f319(f319(f226(f932(x98375,a923)),f319(f319(f93(f932(x98375,a923)),x98374),f319(f254(x98375),x98371))),f319(f319(f93(f932(x98375,a923)),x98373),f319(f254(x98375),x98372)))) % 219.27/219.53 [9852]~P88(x98521)+~P1(f319(x98524,f741(x98523,x98524,x98525,x98522,x98521)))+E(f319(f157(x98521),f319(f319(f146(x98522,x98521),x98523),f319(f128(x98522,x98524),x98525))),f319(f157(x98521),f319(f319(f146(x98522,x98521),x98523),x98525))) % 219.27/219.53 [9932]~P6(x99325)+P1(f319(f319(f321(x99321),f912(x99322,x99323,x99321,x99324,x99325)),x99323))+P1(f319(f319(f226(x99325),x99324),f319(f319(f34(x99321,x99325),x99323),x99322))) % 219.27/219.53 [9933]~P6(x99335)+P1(f319(f319(f321(x99331),f557(x99332,x99333,x99334,x99331,x99335)),x99334))+P1(f319(f319(f226(x99335),x99333),f319(f319(f34(x99331,x99335),x99334),x99332))) % 219.27/219.53 [9937]~P88(x99371)+E(f319(f157(x99371),f319(f319(f146(x99372,x99371),x99373),f319(f128(x99372,x99374),x99375))),f319(f157(x99371),f319(f319(f146(x99372,x99371),x99373),x99375)))+P1(f319(f319(f321(x99372),f741(x99373,x99374,x99375,x99372,x99371)),f319(f164(x99372),x99375))) % 219.27/219.53 [9948]~P1(f319(x99485,f664(x99485,x99483,x99484,x99482,x99481)))+~P1(f319(f319(f226(f932(x99481,a923)),x99482),x99484))+P1(f319(f319(f226(f932(x99481,a923)),f319(f319(f93(f932(x99481,a923)),x99482),f319(f254(x99481),x99483))),f319(f319(f93(f932(x99481,a923)),x99484),f319(f254(x99481),x99485)))) % 219.27/219.53 [9968]~P26(x99685,x99683,x99684,f234(f932(x99685,a923)))+P1(f319(x99681,x99682))+P1(f319(f319(f321(x99683),f793(x99682,x99681,x99684,x99683,x99685)),f319(f302(x99685,x99683,x99684),f234(f932(x99685,a923))))) % 219.27/219.53 [9995]P35(x99951,x99952,x99953,x99954,x99955)+~E(f319(f181(f926(x99952)),x99955),f319(f181(f926(x99951)),x99954))+P1(f319(f319(f227(a925),f722(x99955,x99954,x99953,x99952,x99951)),f319(f181(f926(x99951)),x99954))) % 219.27/219.53 [9996]P35(x99961,x99962,x99963,x99964,x99965)+~E(f319(f181(f926(x99962)),x99965),f319(f181(f926(x99961)),x99964))+P1(f319(f319(f227(a925),f755(x99963,x99965,x99962,x99964,x99961)),f319(f181(f926(x99961)),x99964))) % 219.27/219.53 [10030]P1(f319(f319(f321(x100301),f664(x100302,x100303,x100304,x100305,x100301)),x100305))+~P1(f319(f319(f226(f932(x100301,a923)),x100305),x100304))+P1(f319(f319(f226(f932(x100301,a923)),f319(f319(f93(f932(x100301,a923)),x100305),f319(f254(x100301),x100303))),f319(f319(f93(f932(x100301,a923)),x100304),f319(f254(x100301),x100302)))) % 219.27/219.53 [10075]~P6(x100751)+~P1(f319(f319(f226(x100751),x100752),f319(x100755,f912(x100755,x100754,x100753,x100752,x100751))))+P1(f319(f319(f226(x100751),x100752),f319(f319(f34(x100753,x100751),x100754),x100755))) % 219.27/219.53 [10076]~P6(x100761)+~P1(f319(f319(f226(x100761),x100762),f319(x100765,f557(x100765,x100762,x100764,x100763,x100761))))+P1(f319(f319(f226(x100761),x100762),f319(f319(f34(x100763,x100761),x100764),x100765))) % 219.27/219.53 [10115]~P78(x101151)+~P1(f319(f55(x101152),x101155))+E(f319(f319(f319(f59(x101151,x101152,f75(x101151)),f319(f319(f18(x101152,x101151,x101151),f319(f319(f8(x101151,f932(x101151,x101151),x101152),f75(x101151)),x101153)),x101154)),f72(x101151)),x101155),f319(f319(f75(x101151),f319(f319(f319(f59(x101151,x101152,f75(x101151)),x101153),f72(x101151)),x101155)),f319(f319(f319(f59(x101151,x101152,f75(x101151)),x101154),f72(x101151)),x101155))) % 219.27/219.53 [10170]~P1(f319(f319(f321(f931(f932(x101701,a923),f932(x101701,a923))),f319(f319(f244(f932(x101701,a923),f932(x101701,a923)),x101705),x101704)),f311(x101701,x101703)))+~P1(f319(f319(f321(x101701),x101702),x101705))+P1(f319(f319(f321(f931(x101701,x101701)),f319(f319(f244(x101701,x101701),x101702),f619(x101703,x101704,x101705,x101701,x101702))),x101703)) % 219.27/219.53 [10313]~P1(f319(f319(f321(f931(f926(x103131),f926(x103131))),f319(f319(f244(f926(x103131),f926(x103131)),f319(f319(f126(x103131),x103135),x103132)),f319(f319(f126(x103131),x103135),x103133))),f139(x103131,x103134)))+P1(f319(f319(f321(f931(f926(x103131),f926(x103131))),f319(f319(f244(f926(x103131),f926(x103131)),x103132),x103133)),f139(x103131,x103134)))+P1(f319(f319(f321(f931(x103131,x103131)),f319(f319(f244(x103131,x103131),f709(x103134,x103133,x103132,x103135,x103131)),f709(x103134,x103133,x103132,x103135,x103131))),x103134)) % 219.27/219.53 [7470]~E(x74703,x74705)+E(f319(f319(f156(x74701),f319(f319(f151(x74701,x74702),x74703),x74704)),x74705),x74704)+~P1(f319(f319(f227(a925),x74703),f319(f181(f926(x74701)),x74702))) % 219.27/219.53 [7583]~E(f319(f319(f126(x75831),x75832),x75834),f319(f319(f126(x75831),x75833),x75835))+E(f319(f319(f167(x75831),f319(f181(f926(x75831)),x75832)),x75833),x75832)+P1(f319(f319(f226(a925),f319(f181(f926(x75831)),x75833)),f319(f181(f926(x75831)),x75832))) % 219.27/219.53 [8075]~E(f319(f319(f126(x80751),x80752),x80754),f319(f319(f126(x80751),x80753),x80755))+E(f319(f319(f167(x80751),f319(f181(f926(x80751)),x80752)),x80753),x80752)+~P1(f319(f319(f226(a925),f319(f181(f926(x80751)),x80752)),f319(f181(f926(x80751)),x80753))) % 219.27/219.53 [8099]~P1(f319(f55(x80991),f319(x80994,x80995)))+~P1(f319(f319(f321(x80992),x80995),x80993))+P1(f319(f55(x80991),f319(f319(f34(x80992,f932(x80991,a923)),x80993),x80994))) % 219.27/219.53 [8277]~P57(x82771,x82773,x82775)+~P57(x82771,x82772,x82774)+P57(x82771,f319(f319(f102(f932(x82771,a923)),x82772),x82773),f319(f319(f102(f932(f931(x82771,x82771),a923)),x82774),x82775)) % 219.27/219.53 [8278]~P57(x82781,x82783,x82785)+~P57(x82781,x82782,x82784)+P57(x82781,f319(f319(f93(f932(x82781,a923)),x82782),x82783),f319(f319(f93(f932(f931(x82781,x82781),a923)),x82784),x82785)) % 219.27/219.53 [8635]E(f319(f319(f244(x86351,x86352),f319(f319(f156(x86351),x86353),x86354)),f319(f319(f156(x86352),x86355),x86354)),f319(f319(f156(f931(x86351,x86352)),f319(f319(f173(x86351,x86352),x86353),x86355)),x86354))+~P1(f319(f319(f227(a925),x86354),f319(f181(f926(x86351)),x86353)))+~P1(f319(f319(f227(a925),x86354),f319(f181(f926(x86352)),x86355))) % 219.27/219.53 [8792]~P57(x87921,x87923,x87924)+P1(f319(f319(f321(x87921),x87922),x87923))+~P1(f319(f319(f321(f931(x87921,x87921)),f319(f319(f244(x87921,x87921),x87925),x87922)),x87924)) % 219.27/219.53 [8793]~P57(x87931,x87933,x87934)+P1(f319(f319(f321(x87931),x87932),x87933))+~P1(f319(f319(f321(f931(x87931,x87931)),f319(f319(f244(x87931,x87931),x87932),x87935)),x87934)) % 219.27/219.53 [8794]~P9(x87941,x87943,x87944)+P1(f319(f319(f321(x87941),x87942),x87943))+~P1(f319(f319(f321(f931(x87941,x87941)),f319(f319(f244(x87941,x87941),x87945),x87942)),x87944)) % 219.27/219.53 [8795]~P9(x87951,x87953,x87954)+P1(f319(f319(f321(x87951),x87952),x87953))+~P1(f319(f319(f321(f931(x87951,x87951)),f319(f319(f244(x87951,x87951),x87952),x87955)),x87954)) % 219.27/219.53 [9078]~P9(x90781,x90785,x90782)+E(f319(f277(x90781,x90781,x90782),f319(f319(f301(x90781),x90783),f180(f932(x90781,a923)))),f319(f277(x90781,x90781,x90782),f319(f319(f301(x90781),x90784),f180(f932(x90781,a923)))))+~P1(f319(f319(f321(f931(x90781,x90781)),f319(f319(f244(x90781,x90781),x90783),x90784)),x90782)) % 219.27/219.53 [9269]P1(f319(x92691,x92692))+~P1(f319(f319(f321(x92693),x92692),x92695))+P1(f319(f319(f321(x92693),f567(x92691,x92694,x92695,x92693)),f319(f319(f102(f932(x92693,a923)),x92695),x92694))) % 219.27/219.53 [9270]P1(f319(x92701,x92702))+~P1(f319(f319(f321(x92703),x92702),x92704))+P1(f319(f319(f321(x92703),f567(x92701,x92704,x92705,x92703)),f319(f319(f102(f932(x92703,a923)),x92705),x92704))) % 219.27/219.53 [9278]~P1(f319(x92782,x92785))+~P1(f319(f319(f321(x92781),x92785),x92784))+P1(f319(f319(f321(x92781),f615(x92782,x92783,x92784,x92781)),f319(f319(f102(f932(x92781,a923)),x92784),x92783))) % 219.27/219.53 [9279]~P1(f319(x92792,x92795))+~P1(f319(f319(f321(x92791),x92795),x92793))+P1(f319(f319(f321(x92791),f615(x92792,x92793,x92794,x92791)),f319(f319(f102(f932(x92791,a923)),x92794),x92793))) % 219.27/219.53 [9294]~P1(f319(f319(f226(f932(x92941,a923)),x92943),x92945))+~P1(f319(f319(f226(f932(x92941,a923)),x92942),x92944))+P1(f319(f319(f226(f932(x92941,a923)),f319(f319(f102(f932(x92941,a923)),x92942),x92943)),f319(f319(f102(f932(x92941,a923)),x92944),x92945))) % 219.27/219.53 [9295]~P1(f319(f319(f226(f932(x92951,a923)),x92953),x92955))+~P1(f319(f319(f226(f932(x92951,a923)),x92952),x92954))+P1(f319(f319(f226(f932(x92951,a923)),f319(f319(f93(f932(x92951,a923)),x92952),x92953)),f319(f319(f93(f932(x92951,a923)),x92954),x92955))) % 219.27/219.53 [9296]~P1(f319(f319(f226(f932(x92961,a923)),x92965),x92963))+~P1(f319(f319(f226(f932(x92961,a923)),x92962),x92964))+P1(f319(f319(f226(f932(x92961,a923)),f319(f319(f23(f932(x92961,a923)),x92962),x92963)),f319(f319(f23(f932(x92961,a923)),x92964),x92965))) % 219.27/219.53 [9393]P1(f319(f319(f321(f931(x93931,x93931)),f319(f319(f244(x93931,x93931),x93932),x93933)),f313(x93931,x93934,x93935)))+~P1(f319(f319(f226(a925),f319(x93934,x93932)),f319(x93934,x93933)))+~P1(f319(f319(f321(f931(x93931,x93931)),f319(f319(f244(x93931,x93931),x93932),x93933)),x93935)) % 219.27/219.53 [9581]P1(f319(f319(f321(f931(x95811,x95811)),f319(f319(f244(x95811,x95811),x95812),x95813)),f299(x95811,x95814)))+~P1(f319(f319(f321(f931(x95811,x95811)),f319(f319(f244(x95811,x95811),x95812),x95815)),f299(x95811,x95814)))+~P1(f319(f319(f321(f931(x95811,x95811)),f319(f319(f244(x95811,x95811),x95815),x95813)),x95814)) % 219.27/219.53 [9582]P1(f319(f319(f321(f931(x95821,x95821)),f319(f319(f244(x95821,x95821),x95822),x95823)),f299(x95821,x95824)))+~P1(f319(f319(f321(f931(x95821,x95821)),f319(f319(f244(x95821,x95821),x95825),x95823)),f299(x95821,x95824)))+~P1(f319(f319(f321(f931(x95821,x95821)),f319(f319(f244(x95821,x95821),x95822),x95825)),x95824)) % 219.27/219.53 [9683]E(x96831,x96832)+E(f319(a104,f635(x96833,x96834,x96831,x96832,x96835)),x96834)+~P1(f319(f319(f321(f931(x96835,x96835)),f319(f319(f244(x96835,x96835),x96832),x96831)),f319(f319(f175(f931(x96835,x96835),a923),x96834),x96833))) % 219.27/219.53 [9684]E(x96841,x96842)+E(f319(a104,f637(x96843,x96844,x96841,x96842,x96845)),x96844)+~P1(f319(f319(f321(f931(x96845,x96845)),f319(f319(f244(x96845,x96845),x96842),x96841)),f319(f319(f175(f931(x96845,x96845),a923),x96844),x96843))) % 219.27/219.53 [9685]E(x96851,f2(a925))+E(f319(a104,f635(x96852,x96851,x96853,x96854,x96855)),x96851)+~P1(f319(f319(f321(f931(x96855,x96855)),f319(f319(f244(x96855,x96855),x96854),x96853)),f319(f319(f175(f931(x96855,x96855),a923),x96851),x96852))) % 219.27/219.53 [9686]E(x96861,f2(a925))+E(f319(a104,f637(x96862,x96861,x96863,x96864,x96865)),x96861)+~P1(f319(f319(f321(f931(x96865,x96865)),f319(f319(f244(x96865,x96865),x96864),x96863)),f319(f319(f175(f931(x96865,x96865),a923),x96861),x96862))) % 219.27/219.53 [9708]P1(f319(f319(f321(f931(x97081,x97081)),f319(f319(f244(x97081,x97081),x97082),x97083)),f319(f319(f281(x97081,x97081,x97081),x97084),f299(x97081,x97084))))+~P1(f319(f319(f321(f931(x97081,x97081)),f319(f319(f244(x97081,x97081),x97082),x97085)),x97084))+~P1(f319(f319(f321(f931(x97081,x97081)),f319(f319(f244(x97081,x97081),x97085),x97083)),x97084)) % 219.27/219.53 [9715]~P1(f319(f319(f321(f931(x97151,x97151)),f319(f319(f244(x97151,x97151),x97152),x97155)),f299(x97151,x97154)))+P1(f319(f319(f321(f931(x97151,x97151)),f319(f319(f244(x97151,x97151),x97152),x97153)),f319(f319(f281(x97151,x97151,x97151),x97154),f299(x97151,x97154))))+~P1(f319(f319(f321(f931(x97151,x97151)),f319(f319(f244(x97151,x97151),x97155),x97153)),x97154)) % 219.27/219.53 [9749]~P9(x97491,x97495,x97492)+~P1(f319(f319(f321(f931(x97491,x97491)),f319(f319(f244(x97491,x97491),x97493),x97494)),x97492))+P1(f319(f319(f226(f932(x97491,a923)),f319(f277(x97491,x97491,x97492),f319(f319(f301(x97491),x97493),f180(f932(x97491,a923))))),f319(f277(x97491,x97491,x97492),f319(f319(f301(x97491),x97494),f180(f932(x97491,a923)))))) % 219.27/219.53 [9809]P1(f319(f319(f321(f931(x98091,x98091)),f319(f319(f244(x98091,x98091),x98092),x98093)),f319(f319(f281(x98091,x98091,x98091),x98094),f299(x98091,x98094))))+~P1(f319(f319(f321(f931(x98091,x98091)),f319(f319(f244(x98091,x98091),x98092),x98095)),f319(f319(f281(x98091,x98091,x98091),x98094),f299(x98091,x98094))))+~P1(f319(f319(f321(f931(x98091,x98091)),f319(f319(f244(x98091,x98091),x98095),x98093)),x98094)) % 219.27/219.53 [9810]P1(f319(f319(f321(f931(x98101,x98101)),f319(f319(f244(x98101,x98101),x98102),x98103)),f319(f319(f281(x98101,x98101,x98101),x98104),f299(x98101,x98104))))+~P1(f319(f319(f321(f931(x98101,x98101)),f319(f319(f244(x98101,x98101),x98105),x98103)),f319(f319(f281(x98101,x98101,x98101),x98104),f299(x98101,x98104))))+~P1(f319(f319(f321(f931(x98101,x98101)),f319(f319(f244(x98101,x98101),x98102),x98105)),x98104)) % 219.27/219.53 [9861]~P1(f319(f60(x98611,x98611,x98614,x98612,x98613),x98615))+P1(f319(f319(f321(x98611),x98612),x98613))+P1(f319(f56(x98611,x98614,f319(f319(f301(x98611),x98612),x98613)),x98615)) % 219.27/219.53 [9899]~E(f319(f302(x98993,x98992,x98995),x98994),x98991)+E(x98991,f180(f932(x98992,a923)))+P1(f319(f319(f226(f932(x98993,a923)),f319(f302(x98992,x98993,f888(x98994,x98993,x98992,x98991)),x98991)),x98994)) % 219.27/219.53 [9952]~P6(x99525)+P1(f319(f319(f321(x99521),f921(x99522,x99523,x99524,x99521,x99525)),x99524))+P1(f319(f319(f226(x99525),f319(f319(f33(x99521,x99525),x99524),x99523)),x99522)) % 219.27/219.53 [9953]~P6(x99535)+P1(f319(f319(f321(x99531),f638(x99532,x99533,x99534,x99531,x99535)),x99534))+P1(f319(f319(f226(x99535),f319(f319(f33(x99531,x99535),x99534),x99533)),x99532)) % 219.27/219.53 [10016]P35(x100161,x100162,x100163,x100164,x100165)+~E(f319(f181(f926(x100161)),x100164),f319(f181(f926(x100162)),x100165))+P1(f319(f319(f321(f931(x100161,x100162)),f720(x100165,x100164,x100163,x100162,x100161)),f319(f164(f931(x100161,x100162)),f319(f319(f173(x100161,x100162),x100164),x100165)))) % 219.27/219.53 [10017]P35(x100171,x100172,x100173,x100174,x100175)+~E(f319(f181(f926(x100171)),x100174),f319(f181(f926(x100172)),x100175))+P1(f319(f319(f321(f931(x100171,x100172)),f721(x100173,x100175,x100174,x100172,x100171)),f319(f164(f931(x100171,x100172)),f319(f319(f173(x100171,x100172),x100174),x100175)))) % 219.27/219.53 [10149]E(x101491,x101492)+P1(f319(f319(f321(f931(x101493,x101493)),f319(f319(f244(x101493,x101493),x101491),f639(x101494,x101495,x101492,x101491,x101493))),x101494))+~P1(f319(f319(f321(f931(x101493,x101493)),f319(f319(f244(x101493,x101493),x101491),x101492)),f319(f319(f175(f931(x101493,x101493),a923),x101495),x101494))) % 219.27/219.53 [10150]E(x101501,f2(a925))+P1(f319(f319(f321(f931(x101502,x101502)),f319(f319(f244(x101502,x101502),x101503),f639(x101504,x101501,x101505,x101503,x101502))),x101504))+~P1(f319(f319(f321(f931(x101502,x101502)),f319(f319(f244(x101502,x101502),x101503),x101505)),f319(f319(f175(f931(x101502,x101502),a923),x101501),x101504))) % 219.27/219.53 [10189]~P6(x101891)+~P1(f319(f319(f226(x101891),f319(x101894,f921(x101895,x101894,x101893,x101892,x101891))),x101895))+P1(f319(f319(f226(x101891),f319(f319(f33(x101892,x101891),x101893),x101894)),x101895)) % 219.27/219.53 [10190]~P6(x101901)+~P1(f319(f319(f226(x101901),f319(x101904,f638(x101905,x101904,x101903,x101902,x101901))),x101905))+P1(f319(f319(f226(x101901),f319(f319(f33(x101902,x101901),x101903),x101904)),x101905)) % 219.27/219.53 [10244]E(x102441,x102442)+P1(f319(f319(f321(f931(x102443,x102443)),f319(f319(f244(x102443,x102443),f636(x102444,x102445,x102441,x102442,x102443)),x102441)),x102444))+~P1(f319(f319(f321(f931(x102443,x102443)),f319(f319(f244(x102443,x102443),x102442),x102441)),f319(f319(f175(f931(x102443,x102443),a923),x102445),x102444))) % 219.27/219.53 [10245]E(x102451,f2(a925))+P1(f319(f319(f321(f931(x102452,x102452)),f319(f319(f244(x102452,x102452),f636(x102453,x102451,x102454,x102455,x102452)),x102454)),x102453))+~P1(f319(f319(f321(f931(x102452,x102452)),f319(f319(f244(x102452,x102452),x102455),x102454)),f319(f319(f175(f931(x102452,x102452),a923),x102451),x102453))) % 219.27/219.53 [10249]E(x102491,x102492)+P1(f319(f319(f321(f931(x102493,x102493)),f319(f319(f244(x102493,x102493),x102491),f636(x102494,x102495,x102492,x102491,x102493))),f319(f319(f175(f931(x102493,x102493),a923),f635(x102494,x102495,x102492,x102491,x102493)),x102494)))+~P1(f319(f319(f321(f931(x102493,x102493)),f319(f319(f244(x102493,x102493),x102491),x102492)),f319(f319(f175(f931(x102493,x102493),a923),x102495),x102494))) % 219.27/219.53 [10250]E(x102501,f2(a925))+P1(f319(f319(f321(f931(x102502,x102502)),f319(f319(f244(x102502,x102502),x102503),f636(x102504,x102501,x102505,x102503,x102502))),f319(f319(f175(f931(x102502,x102502),a923),f635(x102504,x102501,x102505,x102503,x102502)),x102504)))+~P1(f319(f319(f321(f931(x102502,x102502)),f319(f319(f244(x102502,x102502),x102503),x102505)),f319(f319(f175(f931(x102502,x102502),a923),x102501),x102504))) % 219.27/219.53 [10304]E(x103041,x103042)+P1(f319(f319(f321(f931(x103043,x103043)),f319(f319(f244(x103043,x103043),f639(x103044,x103045,x103041,x103042,x103043)),x103041)),f319(f319(f175(f931(x103043,x103043),a923),f637(x103044,x103045,x103041,x103042,x103043)),x103044)))+~P1(f319(f319(f321(f931(x103043,x103043)),f319(f319(f244(x103043,x103043),x103042),x103041)),f319(f319(f175(f931(x103043,x103043),a923),x103045),x103044))) % 219.27/219.53 [10305]E(x103051,f2(a925))+P1(f319(f319(f321(f931(x103052,x103052)),f319(f319(f244(x103052,x103052),f639(x103053,x103051,x103054,x103055,x103052)),x103054)),f319(f319(f175(f931(x103052,x103052),a923),f637(x103053,x103051,x103054,x103055,x103052)),x103053)))+~P1(f319(f319(f321(f931(x103052,x103052)),f319(f319(f244(x103052,x103052),x103055),x103054)),f319(f319(f175(f931(x103052,x103052),a923),x103051),x103053))) % 219.27/219.53 [10339]~P79(x103392)+~P1(f319(f55(x103391),x103395))+E(f319(f319(f6(x103391,x103392),f319(f319(f7(x103391,x103392,x103392),f319(f319(f18(x103391,x103392,f932(x103392,x103392)),f319(f319(f8(a923,f932(x103392,f932(x103392,x103392)),x103391),f86(x103392)),f319(f319(f7(x103391,f932(x103391,a923),a923),f321(x103391)),x103393))),x103394)),f2(x103392))),x103395),f319(f319(f6(x103391,x103392),x103394),f319(f319(f93(f932(x103391,a923)),x103395),x103393))) % 219.27/219.53 [8861]~P79(x88611)+~P1(f319(f55(x88614),x88615))+E(f319(f319(f74(x88611),f319(x88612,x88613)),f319(f319(f6(x88614,x88611),x88612),f319(f319(f23(f932(x88614,a923)),x88615),f319(f319(f301(x88614),x88613),f180(f932(x88614,a923)))))),f319(f319(f6(x88614,x88611),x88612),f319(f319(f301(x88614),x88613),x88615))) % 219.27/219.53 [8862]~P78(x88621)+~P1(f319(f55(x88624),x88625))+E(f319(f319(f75(x88621),f319(x88622,x88623)),f319(f319(f9(x88624,x88621),x88622),f319(f319(f23(f932(x88624,a923)),x88625),f319(f319(f301(x88624),x88623),f180(f932(x88624,a923)))))),f319(f319(f9(x88624,x88621),x88622),f319(f319(f301(x88624),x88623),x88625))) % 219.27/219.53 [9200]~P4(x92002)+~P14(x92002,f319(f160(x92002),f319(f319(f146(x92001,x92002),x92004),x92005)))+E(f319(f128(x92001,f319(f319(f8(x92002,a923,x92001),f319(f227(x92002),x92003)),x92004)),x92005),f169(x92001,f319(f319(f8(x92002,a923,x92001),f319(f227(x92002),x92003)),x92004),x92005)) % 219.27/219.53 [9225]~P79(x92251)+E(f319(f319(f74(x92251),f319(f319(f6(a925,x92251),x92252),f295(a925,x92253,x92254))),f319(f319(f6(a925,x92251),x92252),f295(a925,f319(f319(f74(a925),x92254),f72(a925)),f319(f319(f74(a925),x92254),x92255)))),f319(f319(f6(a925,x92251),x92252),f295(a925,x92253,f319(f319(f74(a925),x92254),x92255))))+~P1(f319(f319(f226(a925),x92253),f319(f319(f74(a925),x92254),f72(a925)))) % 219.27/219.53 [9226]~P1(f319(f319(f321(x92261),x92264),x92265))+~P1(f319(f319(f226(f932(x92261,a923)),f319(f164(x92261),x92262)),x92265))+P1(f319(f319(f226(f932(x92261,a923)),f319(f164(x92261),f319(f319(f151(x92261,x92262),x92263),x92264))),x92265)) % 219.27/219.53 [9454]~P6(x94542)+~P1(f319(f55(x94541),x94545))+E(f319(f319(f58(x94541,x94542,f319(f319(f8(x94542,f932(x94542,x94542),x94541),f102(x94542)),x94543)),x94544),x94545),f319(f319(f102(x94542),x94544),f319(f319(f33(x94541,x94542),x94545),x94543))) % 219.27/219.53 [9455]~P6(x94552)+~P1(f319(f55(x94551),x94555))+E(f319(f319(f58(x94551,x94552,f319(f319(f8(x94552,f932(x94552,x94552),x94551),f93(x94552)),x94553)),x94554),x94555),f319(f319(f93(x94552),x94554),f319(f319(f34(x94551,x94552),x94555),x94553))) % 219.27/219.53 [9504]E(f319(x95041,x95042),f319(x95041,x95043))+P1(f319(f319(f227(a925),f319(x95041,x95042)),f319(x95041,x95043)))+~P1(f319(f319(f321(f931(x95044,x95044)),f319(f319(f244(x95044,x95044),x95042),x95043)),f145(x95044,f319(f319(f143(f932(x95044,a925)),x95041),x95045)))) % 219.27/219.53 [9538]~E(f319(x95384,x95382),f319(x95384,x95383))+~P1(f319(f319(f321(f931(x95381,x95381)),f319(f319(f244(x95381,x95381),x95382),x95383)),f145(x95381,x95385)))+P1(f319(f319(f321(f931(x95381,x95381)),f319(f319(f244(x95381,x95381),x95382),x95383)),f145(x95381,f319(f319(f143(f932(x95381,a925)),x95384),x95385)))) % 219.27/219.53 [9559]~P26(x95591,x95592,x95593,x95595)+P26(x95591,x95592,x95593,f319(f319(f301(x95591),x95594),x95595))+P1(f319(f319(f321(x95592),f319(x95593,x95594)),f319(f302(x95591,x95592,x95593),f319(f319(f23(f932(x95591,a923)),x95595),f319(f319(f301(x95591),x95594),f180(f932(x95591,a923))))))) % 219.27/219.53 [9562]P1(f319(x95622,x95625))+~P1(f319(f319(f321(x95621),x95625),f319(f164(x95621),x95623)))+E(f319(f319(f130(x95621),f319(f181(f926(x95621)),f169(x95621,x95622,f319(f319(f126(x95621),x95623),x95624)))),f319(f319(f126(x95621),x95623),x95624)),f319(f319(f126(x95621),f319(f319(f130(x95621),f319(f181(f926(x95621)),f169(x95621,x95622,x95623))),x95623)),x95624)) % 219.27/219.53 [9567]~P1(f319(f319(f321(f931(x95671,x95671)),f319(f319(f244(x95671,x95671),x95672),x95673)),f145(x95671,x95675)))+~P1(f319(f319(f226(a925),f319(x95674,x95672)),f319(x95674,x95673)))+P1(f319(f319(f321(f931(x95671,x95671)),f319(f319(f244(x95671,x95671),x95672),x95673)),f145(x95671,f319(f319(f143(f932(x95671,a925)),x95674),x95675)))) % 219.27/219.53 [9634]P1(f319(f319(f321(f931(x96344,x96344)),f319(f319(f244(x96344,x96344),x96342),x96343)),f145(x96344,x96345)))+P1(f319(f319(f227(a925),f319(x96341,x96342)),f319(x96341,x96343)))+~P1(f319(f319(f321(f931(x96344,x96344)),f319(f319(f244(x96344,x96344),x96342),x96343)),f145(x96344,f319(f319(f143(f932(x96344,a925)),x96341),x96345)))) % 219.27/219.53 [9781]~P1(f319(f319(f321(f931(f926(x97811),f926(x97811))),f319(f319(f244(f926(x97811),f926(x97811)),x97812),x97814)),f150(x97811,x97815)))+~P1(f319(f319(f227(a925),x97813),f319(f181(f926(x97811)),x97812)))+P1(f319(f319(f321(f931(x97811,x97811)),f319(f319(f244(x97811,x97811),f319(f319(f156(x97811),x97812),x97813)),f319(f319(f156(x97811),x97814),x97813))),x97815)) % 219.27/219.53 [10040]E(x100401,f2(a1))+~P1(f319(f43(x100403,x100401),f319(f319(f244(a1,a1),x100404),x100405)))+P1(f319(f43(f319(f319(f75(a1),x100402),x100403),x100401),f319(f319(f244(a1,a1),f319(f319(f74(a1),f319(f319(f75(a1),x100402),x100404)),f319(f319(f30(a1),f319(f319(f75(a1),x100402),x100405)),x100401))),f39(a1,f319(f319(f75(a1),x100402),x100405),x100401)))) % 219.27/219.53 [10042]~P1(f319(f319(f227(a925),f2(a925)),x100423))+~P1(f319(f42(x100422,x100423),f319(f319(f244(a925,a925),x100424),x100425)))+P1(f319(f42(f319(f319(f75(a925),x100421),x100422),x100423),f319(f319(f244(a925,a925),f319(f319(f74(a925),f319(f319(f75(a925),x100421),x100424)),f319(f319(f30(a925),f319(f319(f75(a925),x100421),x100425)),x100423))),f39(a925,f319(f319(f75(a925),x100421),x100425),x100423)))) % 219.27/219.53 [10362]~P79(x103622)+~P1(f319(f55(x103621),x103624))+E(f319(f319(f6(x103621,x103622),x103623),f319(f254(x103621),f319(f319(f18(x103621,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103621),a317),f319(f319(f7(x103621,f932(x103621,a923),a923),f321(x103621)),x103624))),f319(f319(f7(x103621,f932(x103621,a923),a923),f321(x103621)),x103625)))),f319(f319(f6(x103621,x103622),f319(f319(f7(x103621,x103622,x103622),f319(f319(f18(x103621,x103622,f932(x103622,x103622)),f319(f319(f8(a923,f932(x103622,f932(x103622,x103622)),x103621),f86(x103622)),f319(f319(f7(x103621,f932(x103621,a923),a923),f321(x103621)),x103625))),x103623)),f2(x103622))),x103624)) % 219.27/219.53 [8485]~E(f319(f319(f126(x84851),x84852),x84855),f319(f319(f126(x84851),x84853),x84854))+E(f319(f319(f126(x84851),f319(f319(f130(x84851),f319(f181(f926(x84851)),x84852)),x84853)),x84854),x84855)+P1(f319(f319(f226(a925),f319(f181(f926(x84851)),x84853)),f319(f181(f926(x84851)),x84852))) % 219.27/219.53 [8685]~E(f319(f319(f126(x86852),x86853),x86851),f319(f319(f126(x86852),x86854),x86855))+E(x86851,f319(f319(f126(x86852),f319(f319(f130(x86852),f319(f181(f926(x86852)),x86853)),x86854)),x86855))+~P1(f319(f319(f226(a925),f319(f181(f926(x86852)),x86853)),f319(f181(f926(x86852)),x86854))) % 219.27/219.53 [8775]~E(f319(f319(f74(a925),f319(f319(f75(a925),x87753),x87754)),x87751),f319(f319(f74(a925),f319(f319(f75(a925),x87752),x87754)),x87755))+~P1(f319(f319(f226(a925),x87753),x87752))+E(x87751,f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x87752),x87753)),x87754)),x87755)) % 219.27/219.53 [8776]~E(f319(f319(f74(a925),f319(f319(f75(a925),x87761),x87763)),x87764),f319(f319(f74(a925),f319(f319(f75(a925),x87762),x87763)),x87765))+~P1(f319(f319(f226(a925),x87762),x87761))+E(f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x87761),x87762)),x87763)),x87764),x87765) % 219.27/219.53 [8945]E(f319(f319(f74(a925),f319(f319(f75(a925),x89451),x89452)),x89453),f319(f319(f74(a925),f319(f319(f75(a925),x89454),x89452)),x89455))+~P1(f319(f319(f226(a925),x89454),x89451))+~E(x89455,f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x89451),x89454)),x89452)),x89453)) % 219.27/219.53 [8946]E(f319(f319(f74(a925),f319(f319(f75(a925),x89461),x89462)),x89463),f319(f319(f74(a925),f319(f319(f75(a925),x89464),x89462)),x89465))+~P1(f319(f319(f226(a925),x89464),x89461))+~E(f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x89461),x89464)),x89462)),x89463),x89465) % 219.27/219.53 [9835]~P72(x98352)+~P1(f319(f55(x98351),x98355))+E(f319(f319(f9(x98351,x98352),f319(f319(f18(x98351,x98352,x98352),f319(f319(f8(x98352,f932(x98352,x98352),x98351),f283(x98352)),x98353)),x98354)),x98355),f319(f319(f283(x98352),f319(f319(f9(x98351,x98352),x98353),x98355)),f319(f319(f9(x98351,x98352),x98354),x98355))) % 219.27/219.53 [9976]~E(f641(x99765,x99764,x99763,x99762,x99761),f642(x99765,x99764,x99763,x99762,x99761))+P1(f319(f319(f321(f931(x99761,x99761)),f319(f319(f244(x99761,x99761),x99762),x99763)),f299(x99761,x99764)))+~P1(f319(f319(f321(f931(x99761,x99761)),f319(f319(f244(x99761,x99761),x99762),x99763)),f299(x99761,f319(f319(f102(f932(f931(x99761,x99761),a923)),x99764),x99765)))) % 219.27/219.53 [9977]~E(f643(x99775,x99774,x99773,x99772,x99771),f644(x99775,x99774,x99773,x99772,x99771))+P1(f319(f319(f321(f931(x99771,x99771)),f319(f319(f244(x99771,x99771),x99772),x99773)),f299(x99771,x99774)))+~P1(f319(f319(f321(f931(x99771,x99771)),f319(f319(f244(x99771,x99771),x99772),x99773)),f299(x99771,f319(f319(f102(f932(f931(x99771,x99771),a923)),x99774),x99775)))) % 219.27/219.53 [10179]P1(f319(f319(f321(f931(x101791,x101791)),f319(f319(f244(x101791,x101791),x101792),f644(x101795,x101794,x101793,x101792,x101791))),f299(x101791,x101794)))+P1(f319(f319(f321(f931(x101791,x101791)),f319(f319(f244(x101791,x101791),x101792),x101793)),f299(x101791,x101794)))+~P1(f319(f319(f321(f931(x101791,x101791)),f319(f319(f244(x101791,x101791),x101792),x101793)),f299(x101791,f319(f319(f102(f932(f931(x101791,x101791),a923)),x101794),x101795)))) % 219.27/219.53 [10271]P1(f319(f319(f321(f931(x102711,x102711)),f319(f319(f244(x102711,x102711),f642(x102715,x102714,x102713,x102712,x102711)),x102713)),f299(x102711,x102714)))+P1(f319(f319(f321(f931(x102711,x102711)),f319(f319(f244(x102711,x102711),x102712),x102713)),f299(x102711,x102714)))+~P1(f319(f319(f321(f931(x102711,x102711)),f319(f319(f244(x102711,x102711),x102712),x102713)),f299(x102711,f319(f319(f102(f932(f931(x102711,x102711),a923)),x102714),x102715)))) % 219.27/219.53 [10311]P1(f319(f319(f321(f931(x103111,x103111)),f319(f319(f244(x103111,x103111),x103112),x103113)),f299(x103111,x103114)))+P1(f319(f319(f321(f931(x103111,x103111)),f319(f319(f244(x103111,x103111),f641(x103115,x103114,x103113,x103112,x103111)),f642(x103115,x103114,x103113,x103112,x103111))),x103115))+~P1(f319(f319(f321(f931(x103111,x103111)),f319(f319(f244(x103111,x103111),x103112),x103113)),f299(x103111,f319(f319(f102(f932(f931(x103111,x103111),a923)),x103114),x103115)))) % 219.27/219.53 [10312]P1(f319(f319(f321(f931(x103121,x103121)),f319(f319(f244(x103121,x103121),x103122),x103123)),f299(x103121,x103124)))+P1(f319(f319(f321(f931(x103121,x103121)),f319(f319(f244(x103121,x103121),f644(x103125,x103124,x103123,x103122,x103121)),f643(x103125,x103124,x103123,x103122,x103121))),x103125))+~P1(f319(f319(f321(f931(x103121,x103121)),f319(f319(f244(x103121,x103121),x103122),x103123)),f299(x103121,f319(f319(f102(f932(f931(x103121,x103121),a923)),x103124),x103125)))) % 219.27/219.53 [10457]~P1(f319(f319(f321(f931(f926(x104571),f926(x104571))),f319(f319(f244(f926(x104571),f926(x104571)),x104574),x104575)),f150(x104571,x104572)))+~P1(f319(f319(f321(f931(x104571,x104571)),x104573),f319(f164(f931(x104571,x104571)),f319(f319(f173(x104571,x104571),x104574),x104575))))+P1(f319(f319(f249(x104571,x104571,a923),f319(f319(f7(x104571,f932(f931(x104571,x104571),a923),f932(x104571,a923)),f319(f319(f8(f932(x104571,f932(f932(f931(x104571,x104571),a923),a923)),f932(f932(f931(x104571,x104571),a923),f932(x104571,a923)),x104571),f7(x104571,f932(f931(x104571,x104571),a923),a923)),f319(f319(f8(f932(x104571,f931(x104571,x104571)),f932(x104571,f932(f932(f931(x104571,x104571),a923),a923)),x104571),f319(f8(f931(x104571,x104571),f932(f932(f931(x104571,x104571),a923),a923),x104571),f321(f931(x104571,x104571)))),f244(x104571,x104571)))),x104572)),x104573)) % 219.27/219.53 [9865]~P1(f319(f319(f226(a925),x98653),x98652))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(f319(f75(a925),x98653),x98654)),x98651)),f319(f319(f74(a925),f319(f319(f75(a925),x98652),x98654)),x98655)))+P1(f319(f319(f226(a925),x98651),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x98652),x98653)),x98654)),x98655))) % 219.27/219.53 [9866]~P1(f319(f319(f226(a925),x98663),x98662))+~P1(f319(f319(f227(a925),f319(f319(f74(a925),f319(f319(f75(a925),x98663),x98664)),x98661)),f319(f319(f74(a925),f319(f319(f75(a925),x98662),x98664)),x98665)))+P1(f319(f319(f227(a925),x98661),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x98662),x98663)),x98664)),x98665))) % 219.27/219.53 [9883]~P1(f319(f319(f226(a925),x98831),x98834))+P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(f319(f75(a925),x98831),x98832)),x98833)),f319(f319(f74(a925),f319(f319(f75(a925),x98834),x98832)),x98835)))+~P1(f319(f319(f226(a925),x98833),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x98834),x98831)),x98832)),x98835))) % 219.27/219.53 [9884]~P1(f319(f319(f226(a925),x98841),x98844))+P1(f319(f319(f227(a925),f319(f319(f74(a925),f319(f319(f75(a925),x98841),x98842)),x98843)),f319(f319(f74(a925),f319(f319(f75(a925),x98844),x98842)),x98845)))+~P1(f319(f319(f227(a925),x98843),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x98844),x98841)),x98842)),x98845))) % 219.27/219.53 [10014]~P1(f319(f319(f226(a925),x100142),x100141))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(f319(f75(a925),x100141),x100143)),x100144)),f319(f319(f74(a925),f319(f319(f75(a925),x100142),x100143)),x100145)))+P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x100141),x100142)),x100143)),x100144)),x100145)) % 219.27/219.53 [10015]~P1(f319(f319(f226(a925),x100152),x100151))+~P1(f319(f319(f227(a925),f319(f319(f74(a925),f319(f319(f75(a925),x100151),x100153)),x100154)),f319(f319(f74(a925),f319(f319(f75(a925),x100152),x100153)),x100155)))+P1(f319(f319(f227(a925),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x100151),x100152)),x100153)),x100154)),x100155)) % 219.27/219.53 [10061]~P1(f319(f319(f226(a925),x100614),x100611))+P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(f319(f75(a925),x100611),x100612)),x100613)),f319(f319(f74(a925),f319(f319(f75(a925),x100614),x100612)),x100615)))+~P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x100611),x100614)),x100612)),x100613)),x100615)) % 219.27/219.53 [10062]~P1(f319(f319(f226(a925),x100624),x100621))+P1(f319(f319(f227(a925),f319(f319(f74(a925),f319(f319(f75(a925),x100621),x100622)),x100623)),f319(f319(f74(a925),f319(f319(f75(a925),x100624),x100622)),x100625)))+~P1(f319(f319(f227(a925),f319(f319(f74(a925),f319(f319(f75(a925),f319(f319(f23(a925),x100621),x100624)),x100622)),x100623)),x100625)) % 219.27/219.53 [10299]~P12(x102991,x102992,x102995,x102993)+~P1(f319(f319(f321(f931(x102991,x102991)),x102994),x102995))+P1(f319(f319(f249(x102991,x102991,a923),f319(f319(f7(x102991,f932(x102991,x102992),f932(x102991,a923)),f319(f319(f8(f932(x102992,a923),f932(f932(x102991,x102992),f932(x102991,a923)),x102991),f8(x102992,a923,x102991)),f319(f319(f8(x102992,f932(x102992,a923),x102991),a316),x102993))),x102993)),x102994)) % 219.27/219.53 [10320]~P113(x103201)+~P41(x103201,f932(x103202,a923),x103203)+P41(x103201,f932(x103202,a923),f319(f319(f7(x103201,f932(x103202,a923),f932(x103202,a923)),f319(f319(f8(f932(x103202,a923),f932(f932(x103202,a923),f932(x103202,a923)),x103201),f102(f932(x103202,a923))),f319(f319(f7(x103201,f932(x103202,a923),f932(x103202,a923)),f319(f319(f8(f932(x103202,a923),f932(f932(x103202,a923),f932(x103202,a923)),x103201),f102(f932(x103202,a923))),x103203)),x103204))),x103205)) % 219.27/219.53 [8647]~P20(x86476,x86471,x86472,x86474)+E(f319(f66(x86471,x86471,x86471,f319(x86472,x86473)),f319(x86474,x86475)),f319(f66(x86471,x86471,x86471,f319(x86474,x86475)),f319(x86472,x86473)))+~P1(f319(f55(x86476),x86475)) % 219.27/219.53 [9090]~P26(x90901,x90903,x90905,x90906)+~P26(x90903,x90902,x90904,f319(f302(x90901,x90903,x90905),x90906))+P26(x90901,x90902,f319(f66(x90903,x90902,x90901,x90904),x90905),x90906) % 219.27/219.53 [9667]~P1(f319(f319(x96673,x96672),x96676))+~P1(f319(f319(x96674,x96675),x96672))+P1(f319(f319(f321(x96671),x96672),f292(x96671,x96673,x96674,x96675,x96676))) % 219.27/219.53 [9668]~P1(f319(f319(x96684,x96682),x96686))+~P1(f319(f319(x96683,x96685),x96682))+P1(f319(f319(f321(x96681),x96682),f289(x96681,x96683,x96684,x96685,x96686))) % 219.27/219.53 [9782]E(x97821,x97822)+E(x97823,x97824)+~P1(f319(f319(f321(f931(f926(x97825),f926(x97825))),f319(f319(f244(f926(x97825),f926(x97825)),f319(f319(f143(x97825),x97823),x97821)),f319(f319(f143(x97825),x97824),x97822))),f149(x97825,x97826))) % 219.27/219.53 [9791]~E(x97912,x97914)+P1(f319(f319(f321(f931(f926(x97911),f926(x97911))),f319(f319(f244(f926(x97911),f926(x97911)),f319(f319(f143(x97911),x97912),x97913)),f319(f319(f143(x97911),x97914),x97915))),f137(x97911,x97916)))+~P1(f319(f319(f321(f931(f926(x97911),f926(x97911))),f319(f319(f244(f926(x97911),f926(x97911)),x97913),x97915)),f137(x97911,x97916))) % 219.27/219.53 [9792]~E(x97922,x97924)+P1(f319(f319(f321(f931(f926(x97921),f926(x97921))),f319(f319(f244(f926(x97921),f926(x97921)),f319(f319(f143(x97921),x97922),x97923)),f319(f319(f143(x97921),x97924),x97925))),f139(x97921,x97926)))+~P1(f319(f319(f321(f931(f926(x97921),f926(x97921))),f319(f319(f244(f926(x97921),f926(x97921)),x97923),x97925)),f139(x97921,x97926))) % 219.27/219.53 [9793]~E(x97932,x97934)+P1(f319(f319(f321(f931(f926(x97931),f926(x97931))),f319(f319(f244(f926(x97931),f926(x97931)),f319(f319(f143(x97931),x97932),x97933)),f319(f319(f143(x97931),x97934),x97935))),f149(x97931,x97936)))+~P1(f319(f319(f321(f931(f926(x97931),f926(x97931))),f319(f319(f244(f926(x97931),f926(x97931)),x97933),x97935)),f149(x97931,x97936))) % 219.27/219.53 [9794]~E(x97942,x97944)+P1(f319(f319(f321(f931(f926(x97941),f926(x97941))),f319(f319(f244(f926(x97941),f926(x97941)),f319(f319(f126(x97941),x97942),x97943)),f319(f319(f126(x97941),x97944),x97945))),f149(x97941,x97946)))+~P1(f319(f319(f321(f931(f926(x97941),f926(x97941))),f319(f319(f244(f926(x97941),f926(x97941)),x97943),x97945)),f149(x97941,x97946))) % 219.27/219.53 [9795]~E(x97953,x97955)+P1(f319(f319(f321(f931(f926(x97951),f926(x97951))),f319(f319(f244(f926(x97951),f926(x97951)),f319(f319(f126(x97951),x97952),x97953)),f319(f319(f126(x97951),x97954),x97955))),f149(x97951,x97956)))+~P1(f319(f319(f321(f931(f926(x97951),f926(x97951))),f319(f319(f244(f926(x97951),f926(x97951)),x97952),x97954)),f149(x97951,x97956))) % 219.27/219.53 [9853]E(x98531,x98532)+P1(f319(f319(f321(f931(f926(x98533),f926(x98533))),f319(f319(f244(f926(x98533),f926(x98533)),x98531),x98532)),f149(x98533,x98534)))+~P1(f319(f319(f321(f931(f926(x98533),f926(x98533))),f319(f319(f244(f926(x98533),f926(x98533)),f319(f319(f143(x98533),x98535),x98531)),f319(f319(f143(x98533),x98536),x98532))),f149(x98533,x98534))) % 219.27/219.53 [10018]~E(x100183,x100185)+P1(f319(f319(f321(f931(f926(x100181),f926(x100181))),f319(f319(f244(f926(x100181),f926(x100181)),f319(f319(f126(x100181),x100182),f319(f319(f143(x100181),x100183),f105(x100181)))),f319(f319(f126(x100181),x100184),f319(f319(f143(x100181),x100185),f105(x100181))))),f149(x100181,x100186)))+~P1(f319(f319(f321(f931(f926(x100181),f926(x100181))),f319(f319(f244(f926(x100181),f926(x100181)),x100182),x100184)),f149(x100181,x100186))) % 219.27/219.53 [10065]E(x100651,x100652)+E(x100653,x100654)+~P1(f319(f319(f321(f931(f926(x100655),f926(x100655))),f319(f319(f244(f926(x100655),f926(x100655)),f319(f319(f126(x100655),x100653),f319(f319(f143(x100655),x100651),f105(x100655)))),f319(f319(f126(x100655),x100654),f319(f319(f143(x100655),x100652),f105(x100655))))),f149(x100655,x100656))) % 219.27/219.53 [10094]E(x100941,x100942)+~P1(f319(f319(f321(f931(f926(x100943),f926(x100943))),f319(f319(f244(f926(x100943),f926(x100943)),f319(f319(f126(x100943),x100941),f319(f319(f143(x100943),x100945),f105(x100943)))),f319(f319(f126(x100943),x100942),f319(f319(f143(x100943),x100946),f105(x100943))))),f149(x100943,x100944)))+P1(f319(f319(f321(f931(f926(x100943),f926(x100943))),f319(f319(f244(f926(x100943),f926(x100943)),x100941),x100942)),f149(x100943,x100944))) % 219.27/219.53 [10132]~P1(f319(f319(f321(f931(f932(x101321,a923),f932(x101321,a923))),f319(f319(f244(f932(x101321,a923),f932(x101321,a923)),x101322),x101324)),f311(x101321,x101326)))+~P1(f319(f319(f321(f931(f932(x101321,a923),f932(x101321,a923))),f319(f319(f244(f932(x101321,a923),f932(x101321,a923)),x101323),x101325)),f311(x101321,x101326)))+P1(f319(f319(f321(f931(f932(x101321,a923),f932(x101321,a923))),f319(f319(f244(f932(x101321,a923),f932(x101321,a923)),f319(f319(f102(f932(x101321,a923)),x101322),x101323)),f319(f319(f102(f932(x101321,a923)),x101324),x101325))),f311(x101321,x101326))) % 219.27/219.53 [5872]~E(f319(f319(f126(x58721),x58726),x58723),x58725)+E(f319(f319(f126(x58721),x58722),x58723),f319(f319(f143(x58721),x58724),x58725))+~E(x58722,f319(f319(f143(x58721),x58724),x58726)) % 219.27/219.53 [5873]~E(f319(f319(f126(x58731),x58736),x58733),x58735)+E(f319(f319(f126(x58731),x58732),x58733),f319(f319(f126(x58731),x58734),x58735))+~E(x58732,f319(f319(f126(x58731),x58734),x58736)) % 219.27/219.53 [5875]E(f319(f319(f126(x58751),x58752),x58753),f319(f319(f143(x58751),x58754),x58755))+~E(f319(f319(f143(x58751),x58754),x58756),x58752)+~E(x58755,f319(f319(f126(x58751),x58756),x58753)) % 219.27/219.53 [5877]~E(f319(f319(f126(x58771),x58772),x58776),x58774)+E(f319(f319(f126(x58771),x58772),x58773),f319(f319(f126(x58771),x58774),x58775))+~E(x58773,f319(f319(f126(x58771),x58776),x58775)) % 219.27/219.53 [7029]E(f319(x70291,x70292),f319(x70293,x70292))+~E(f319(f319(f146(x70294,x70295),x70291),x70296),f319(f319(f146(x70294,x70295),x70293),x70296))+~P1(f319(f319(f321(x70294),x70292),f319(f164(x70294),x70296))) % 219.27/219.53 [7416]~P20(x74164,x74165,x74166,x74161)+E(f319(f319(x74161,x74162),x74163),f319(f319(f58(x74164,x74165,x74166),x74163),x74162))+~P1(f319(f55(x74164),x74162)) % 219.27/219.53 [7488]~E(x74882,f319(x74884,x74886))+~P1(f319(f319(f321(x74883),x74886),x74885))+P1(f319(f319(f321(x74881),x74882),f319(f302(x74883,x74881,x74884),x74885))) % 219.27/219.53 [7489]~E(f319(x74894,x74892),x74896)+~P1(f319(f319(f321(x74893),x74896),x74895))+P1(f319(f319(f321(x74891),x74892),f319(f303(x74891,x74893,x74894),x74895))) % 219.27/219.53 [7932]~P33(x79321,x79322,x79324,x79326)+P33(x79321,x79322,f319(f319(f143(x79321),x79323),x79324),f319(f319(f143(x79321),x79325),x79326))+~P1(f319(f319(x79322,x79323),x79325)) % 219.27/219.53 [8955]~P61(x89554,x89555,x89551,x89552,x89556)+E(f319(x89551,f319(x89552,x89553)),x89553)+~P1(f319(f319(f321(x89555),x89553),x89556)) % 219.27/219.53 [9463]~P27(x94632,x94631,x94635,x94634,x94633)+E(f319(f85(x94631,x94632,x94633,f85(x94632,x94631,x94634,x94635)),x94636),f319(x94635,x94636))+~P1(f319(f319(f321(x94632),x94636),x94634)) % 219.27/219.53 [9474]~P26(x94741,x94742,x94743,x94746)+P26(x94741,x94742,f68(x94741,x94742,x94743,x94744,x94745),x94746)+P1(f319(f319(f321(x94742),x94745),f319(f302(x94741,x94742,x94743),x94746))) % 219.27/219.53 [9784]E(x97841,x97842)+E(f319(f181(f926(x97843)),x97844),f319(f181(f926(x97843)),x97845))+~P1(f319(f319(f321(f931(f926(x97843),f926(x97843))),f319(f319(f244(f926(x97843),f926(x97843)),f319(f319(f143(x97843),x97841),x97844)),f319(f319(f143(x97843),x97842),x97845))),f137(x97843,x97846))) % 219.27/219.53 [9847]~P17(x98471,x98472,x98473)+E(f319(f319(f58(x98471,x98472,x98473),x98474),x98475),x98476)+~P1(f319(f60(x98471,x98472,x98473,x98474,x98475),x98476)) % 219.27/219.53 [9856]E(f319(f181(f926(x98561)),x98562),f319(f181(f926(x98561)),x98563))+P1(f319(f319(f321(f931(f926(x98561),f926(x98561))),f319(f319(f244(f926(x98561),f926(x98561)),x98562),x98563)),f137(x98561,x98564)))+~P1(f319(f319(f321(f931(f926(x98561),f926(x98561))),f319(f319(f244(f926(x98561),f926(x98561)),f319(f319(f143(x98561),x98565),x98562)),f319(f319(f143(x98561),x98566),x98563))),f137(x98561,x98564))) % 219.27/219.53 [9877]~P1(f319(f319(f321(f931(x98771,x98771)),f319(f319(f244(x98771,x98771),x98772),x98774)),f299(x98771,x98776)))+P1(f319(f319(f321(f931(f926(x98771),f926(x98771))),f319(f319(f244(f926(x98771),f926(x98771)),f319(f319(f143(x98771),x98772),x98773)),f319(f319(f143(x98771),x98774),x98775))),f299(f926(x98771),f149(x98771,x98776))))+~P1(f319(f319(f321(f931(f926(x98771),f926(x98771))),f319(f319(f244(f926(x98771),f926(x98771)),x98773),x98775)),f299(f926(x98771),f149(x98771,x98776)))) % 219.27/219.53 [10071]~P1(f319(x100712,x100716))+~E(f319(f128(x100711,x100712),x100713),f319(f319(f143(x100711),x100714),x100715))+~P1(f319(f319(f321(x100711),x100716),f319(f164(x100711),f767(x100715,x100714,x100713,x100712,x100711)))) % 219.27/219.53 [10072]~P1(f319(x100724,x100726))+~E(f319(f319(f143(x100721),x100722),x100723),f319(f128(x100721,x100724),x100725))+~P1(f319(f319(f321(x100721),x100726),f319(f164(x100721),f765(x100725,x100724,x100723,x100722,x100721)))) % 219.27/219.53 [10396]~P79(x103962)+E(f319(f319(f6(x103961,x103962),f319(f319(f8(f932(x103963,a923),x103962,x103961),f319(f6(x103963,x103962),x103964)),f319(f319(f8(f932(x103963,a923),f932(x103963,a923),x103961),f254(x103963)),f319(f319(f8(f932(x103963,a923),f932(x103963,a923),x103961),f319(f18(x103963,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103963),a317),f319(f319(f7(x103963,f932(x103963,a923),a923),f321(x103963)),x103965)))),f319(f7(x103963,x103961,a923),f319(f319(f8(x103961,f932(x103961,a923),x103963),a316),x103966)))))),f319(f302(x103963,x103961,x103966),x103965)),f319(f319(f6(x103963,x103962),x103964),x103965))+~P1(f319(f55(x103963),x103965)) % 219.27/219.53 [7089]~P4(x70893)+P1(f319(x70892,x70895))+E(f319(f128(x70891,x70892),f319(f319(f140(x70891,x70893,x70894),x70895),x70896)),f319(f128(x70891,x70892),x70896)) % 219.27/219.53 [7091]P1(f319(x70911,x70912))+~E(f158(x70913,x70911,x70914),f319(f319(f244(f926(x70913),f926(x70913)),x70915),x70916))+~P1(f319(f319(f321(x70913),x70912),f319(f164(x70913),x70915))) % 219.27/219.53 [7135]~P1(f319(x71352,x71356))+~E(f158(x71351,x71352,x71353),f319(f319(f244(f926(x71351),f926(x71351)),x71354),x71355))+~P1(f319(f319(f321(x71351),x71356),f319(f164(x71351),x71355))) % 219.27/219.53 [7795]~P15(x77951,x77952,x77953)+~P1(f319(f55(x77951),x77956))+E(f319(f319(f58(x77951,x77952,x77953),x77954),f319(f319(f301(x77951),x77955),x77956)),f319(f319(f58(x77951,x77952,x77953),f319(f319(x77953,x77955),x77954)),x77956)) % 219.27/219.53 [7848]~P4(x78482)+~P1(f319(f319(f226(x78482),f319(x78483,x78484)),f319(x78483,x78485)))+E(f319(f319(f140(x78481,x78482,x78483),x78484),f319(f319(f143(x78481),x78485),x78486)),f319(f319(f143(x78481),x78484),f319(f319(f143(x78481),x78485),x78486))) % 219.27/219.53 [7960]E(x79601,x79602)+~E(f319(f319(f246(x79603,x79604),x79601),f319(f16(f932(x79604,a923),x79603),x79605)),f319(f319(f246(x79603,x79604),x79602),f319(f16(f932(x79604,a923),x79603),x79605)))+~P1(f319(f319(f321(x79604),x79606),x79605)) % 219.27/219.53 [8025]~P15(x80251,x80252,x80253)+~P1(f319(f55(x80251),x80256))+E(f319(f319(f58(x80251,x80252,x80253),x80254),f319(f319(f301(x80251),x80255),x80256)),f319(f319(x80253,x80255),f319(f319(f58(x80251,x80252,x80253),x80254),x80256))) % 219.27/219.53 [8145]~P17(x81451,x81452,x81453)+~P1(f319(f55(x81451),x81456))+E(f319(f319(f58(x81451,x81452,x81453),f319(f319(x81453,x81454),x81455)),x81456),f319(f319(x81453,x81454),f319(f319(f58(x81451,x81452,x81453),x81455),x81456))) % 219.27/219.53 [8216]~P21(x82162,x82165,x82166,x82161)+~P1(f319(f55(x82162),x82164))+E(f319(x82161,f319(f319(f301(x82162),x82163),x82164)),f319(f66(x82165,x82165,x82165,f319(x82161,x82164)),f319(x82166,x82163))) % 219.27/219.53 [8248]~P4(x82482)+P1(f319(f319(f226(x82482),f319(x82483,x82484)),f319(x82483,x82485)))+E(f319(f319(f140(x82481,x82482,x82483),x82484),f319(f319(f143(x82481),x82485),x82486)),f319(f319(f143(x82481),x82485),f319(f319(f140(x82481,x82482,x82483),x82484),x82486))) % 219.27/219.53 [8391]~E(f319(f181(f926(x83911)),x83915),f319(f181(f926(x83912)),x83916))+~E(f319(f181(f926(x83911)),x83913),f319(f181(f926(x83912)),x83914))+E(f319(f319(f126(f931(x83911,x83912)),f319(f319(f173(x83911,x83912),x83913),x83914)),f319(f319(f173(x83911,x83912),x83915),x83916)),f319(f319(f173(x83911,x83912),f319(f319(f126(x83911),x83913),x83915)),f319(f319(f126(x83912),x83914),x83916))) % 219.27/219.53 [8503]~E(x85032,f319(f302(x85033,x85031,x85034),x85036))+P1(f319(f319(f226(f932(x85031,a923)),x85032),f319(f302(x85033,x85031,x85034),x85035)))+~P1(f319(f319(f226(f932(x85033,a923)),x85036),x85035)) % 219.27/219.53 [8606]~P4(x86065)+E(f319(x86061,x86062),f319(x86061,x86063))+E(f319(f319(f140(x86064,x86065,x86061),x86062),f319(f319(f140(x86064,x86065,x86061),x86063),x86066)),f319(f319(f140(x86064,x86065,x86061),x86063),f319(f319(f140(x86064,x86065,x86061),x86062),x86066))) % 219.27/219.53 [8784]~P1(f319(f319(f321(x87842),x87844),f319(x87846,x87843)))+~P1(f319(f319(f321(x87841),x87843),x87845))+P1(f319(f319(f321(f931(x87841,x87842)),f319(f319(f244(x87841,x87842),x87843),x87844)),f319(f319(f246(x87841,x87842),x87845),x87846))) % 219.27/219.53 [9267]~P79(x92672)+~P26(x92674,x92671,x92675,x92676)+E(f319(f319(f6(x92671,x92672),x92673),f319(f302(x92674,x92671,x92675),x92676)),f319(f319(f6(x92674,x92672),f319(f66(x92671,x92672,x92674,x92673),x92675)),x92676)) % 219.27/219.53 [9268]~P78(x92682)+~P26(x92684,x92681,x92685,x92686)+E(f319(f319(f9(x92681,x92682),x92683),f319(f302(x92684,x92681,x92685),x92686)),f319(f319(f9(x92684,x92682),f319(f66(x92681,x92682,x92684,x92683),x92685)),x92686)) % 219.27/219.53 [9315]~P35(x93152,x93155,x93151,x93153,x93156)+P1(f319(f319(x93151,f319(f319(f156(x93152),x93153),x93154)),f319(f319(f156(x93155),x93156),x93154)))+~P1(f319(f319(f227(a925),x93154),f319(f181(f926(x93155)),x93156))) % 219.27/219.53 [9316]~P35(x93162,x93165,x93161,x93163,x93166)+P1(f319(f319(x93161,f319(f319(f156(x93162),x93163),x93164)),f319(f319(f156(x93165),x93166),x93164)))+~P1(f319(f319(f227(a925),x93164),f319(f181(f926(x93162)),x93163))) % 219.27/219.53 [9327]~E(f319(f302(x93271,x93272,x93273),x93274),x93276)+E(f319(f302(x93271,x93272,x93273),f319(f302(x93272,x93271,f85(x93271,x93272,x93274,x93273)),x93275)),x93275)+~P1(f319(f319(f226(f932(x93272,a923)),x93275),x93276)) % 219.27/219.53 [9533]~P20(x95333,x95331,x95336,x95332)+~P1(f319(f55(x95333),x95334))+E(f319(f66(x95331,x95331,x95331,f319(x95332,f319(f319(f23(f932(x95333,a923)),x95334),f319(f319(f301(x95333),x95335),f180(f932(x95333,a923)))))),f319(x95336,x95335)),f319(x95332,f319(f319(f301(x95333),x95335),x95334))) % 219.27/219.53 [9546]~P1(f319(f319(f321(x95465),x95463),x95466))+P1(f319(f319(f321(x95461),f319(x95462,x95463)),f88(f932(x95461,a923),x95464)))+~P1(f319(f319(f226(f932(x95461,a923)),f319(f302(x95465,x95461,x95462),x95466)),f319(x95464,f319(f302(x95465,x95461,x95462),x95466)))) % 219.27/219.53 [10161]~E(f319(f302(x101612,x101614,x101616),f234(f932(x101612,a923))),f234(f932(x101614,a923)))+~E(f319(f302(x101611,x101613,x101615),f234(f932(x101611,a923))),f234(f932(x101613,a923)))+E(f319(f302(f931(x101611,x101612),f931(x101613,x101614),f250(x101611,x101613,x101612,x101614,x101615,x101616)),f234(f932(f931(x101611,x101612),a923))),f234(f932(f931(x101613,x101614),a923))) % 219.27/219.53 [10215]~E(x102153,x102155)+~E(f319(x102156,f746(x102152,x102154,x102156,x102151,x102153,x102155)),f319(x102154,f746(x102152,x102154,x102156,x102151,x102153,x102155)))+E(f319(f319(f34(x102151,f932(x102152,a923)),x102153),x102154),f319(f319(f34(x102151,f932(x102152,a923)),x102155),x102156)) % 219.27/219.53 [10220]~P26(x102203,x102204,x102205,f319(x102206,f901(x102206,x102205,x102204,x102203,x102202,x102201)))+P26(x102203,x102204,x102205,f319(f319(f34(x102202,f932(x102203,a923)),x102201),x102206))+E(x102201,f180(f932(x102202,a923))) % 219.27/219.53 [10276]~E(x102763,x102765)+E(f319(f319(f34(x102761,f932(x102762,a923)),x102763),x102764),f319(f319(f34(x102761,f932(x102762,a923)),x102765),x102766))+P1(f319(f319(f321(x102761),f746(x102762,x102764,x102766,x102761,x102763,x102765)),x102763)) % 219.27/219.53 [10279]P26(x102796,x102795,x102794,f319(f319(f34(x102792,f932(x102796,a923)),x102791),x102793))+E(x102791,f180(f932(x102792,a923)))+P1(f319(f319(f321(x102792),f901(x102793,x102794,x102795,x102796,x102792,x102791)),x102791)) % 219.27/219.53 [10285]P1(f319(f319(f321(x102851),f609(x102852,x102853,x102854,x102855,x102856,x102851)),x102856))+P1(f319(f319(f226(f932(f931(x102851,x102854),a923)),f319(f319(f246(x102851,x102854),x102856),x102853)),f319(f319(f246(x102851,x102854),x102855),x102852)))+~P1(f319(f319(f226(f932(x102851,a923)),x102856),x102855)) % 219.27/219.53 [10410]~P1(f319(f319(f226(f932(x104102,a923)),f319(x104104,f609(x104106,x104104,x104102,x104105,x104103,x104101))),f319(x104106,f609(x104106,x104104,x104102,x104105,x104103,x104101))))+~P1(f319(f319(f226(f932(x104101,a923)),x104103),x104105))+P1(f319(f319(f226(f932(f931(x104101,x104102),a923)),f319(f319(f246(x104101,x104102),x104103),x104104)),f319(f319(f246(x104101,x104102),x104105),x104106))) % 219.27/219.53 [7982]~P1(f319(x79821,x79825))+~P1(f319(x79826,x79824))+P1(f319(x79821,f319(f248(x79822,x79823),f319(f319(f244(x79822,x79823),x79824),x79825)))) % 219.27/219.53 [7983]~P1(f319(x79831,x79834))+~P1(f319(x79836,x79835))+P1(f319(x79831,f319(f243(x79832,x79833),f319(f319(f244(x79832,x79833),x79834),x79835)))) % 219.27/219.53 [8031]~P1(f319(f319(x80314,x80316),x80315))+~P1(f319(f319(f321(x80311),x80316),x80313))+P1(f319(f319(f319(f33(x80311,f932(x80312,a923)),x80313),x80314),x80315)) % 219.27/219.53 [8341]~P1(f319(f319(f321(x83411),x83412),f319(x83415,x83416)))+~P1(f319(f319(f321(x83413),x83416),x83414))+P1(f319(f319(f321(x83411),x83412),f319(f319(f33(x83413,f932(x83411,a923)),x83414),x83415))) % 219.27/219.53 [8384]P1(f319(f319(x83841,x83842),x83843))+~P1(f319(f319(x83844,x83842),x83843))+~P1(f319(f319(f226(f932(x83845,f932(x83846,a923))),x83844),x83841)) % 219.27/219.53 [8527]P1(f319(f319(x85271,x85272),x85273))+~P1(f319(f319(f321(x85274),x85272),x85275))+~P1(f319(f319(f319(f34(x85274,f932(x85276,a923)),x85275),x85271),x85273)) % 219.27/219.53 [8662]P1(f319(f319(f321(x86621),x86622),f319(x86623,x86624)))+~P1(f319(f319(f321(x86625),x86624),x86626))+~P1(f319(f319(f321(x86621),x86622),f319(f319(f34(x86625,f932(x86621,a923)),x86626),x86623))) % 219.27/219.53 [8934]~P12(x89344,x89345,x89346,x89341)+E(f319(x89341,x89342),f319(x89341,x89343))+~P1(f319(f319(f321(f931(x89344,x89344)),f319(f319(f244(x89344,x89344),x89342),x89343)),x89346)) % 219.27/219.53 [8969]P1(f319(f319(f226(f932(x89691,a923)),x89692),f319(x89693,x89694)))+~P1(f319(f319(f321(x89695),x89694),x89696))+~P1(f319(f319(f226(f932(x89691,a923)),x89692),f319(f319(f34(x89695,f932(x89691,a923)),x89696),x89693))) % 219.27/219.53 [9003]~P59(x90033,x90034,f319(f278(x90034,x90033),x90035))+E(x90031,f180(f932(x90032,a923)))+E(f319(f319(f34(x90032,f932(x90033,a923)),x90031),f319(f319(f8(f932(x90034,a923),f932(x90033,a923),x90032),f277(x90034,x90033,x90035)),x90036)),f319(f277(x90034,x90033,x90035),f319(f319(f34(x90032,f932(x90034,a923)),x90031),x90036))) % 219.27/219.53 [9081]P1(f319(f319(f321(x90811),x90812),f319(f277(x90813,x90811,x90814),x90815)))+~P1(f319(f319(f321(x90813),x90816),x90815))+~P1(f319(f319(f321(f931(x90813,x90811)),f319(f319(f244(x90813,x90811),x90816),x90812)),x90814)) % 219.27/219.53 [9395]P1(f319(f319(f226(f932(x93951,a923)),f319(f277(x93952,x93951,x93953),x93954)),f319(f277(x93952,x93951,x93955),x93956)))+~P1(f319(f319(f226(f932(x93952,a923)),x93954),x93956))+~P1(f319(f319(f226(f932(f931(x93952,x93951),a923)),x93953),x93955)) % 219.27/219.53 [9583]~P1(f319(f319(f321(x95832),x95836),x95834))+~P1(f319(f319(f226(f932(x95831,a923)),x95833),x95835))+P1(f319(f319(f226(f932(f931(x95831,x95832),a923)),f319(f319(f246(x95831,x95832),x95833),f319(f16(f932(x95832,a923),x95831),x95834))),f319(f319(f246(x95831,x95832),x95835),f319(f16(f932(x95832,a923),x95831),x95834)))) % 219.27/219.53 [9595]~P35(x95951,x95952,x95953,x95955,x95956)+P1(f319(f319(f249(x95951,x95952,a923),x95953),x95954))+~P1(f319(f319(f321(f931(x95951,x95952)),x95954),f319(f164(f931(x95951,x95952)),f319(f319(f173(x95951,x95952),x95955),x95956)))) % 219.27/219.53 [9736]~E(x97363,x97365)+P1(f319(f319(f321(f931(f926(x97361),f926(x97361))),f319(f319(f244(f926(x97361),f926(x97361)),f319(f319(f143(x97361),x97362),x97363)),f319(f319(f143(x97361),x97364),x97365))),f149(x97361,x97366)))+~P1(f319(f319(f321(f931(x97361,x97361)),f319(f319(f244(x97361,x97361),x97362),x97364)),x97366)) % 219.27/219.53 [9742]~E(f319(f181(f926(x97421)),x97423),f319(f181(f926(x97421)),x97425))+P1(f319(f319(f321(f931(f926(x97421),f926(x97421))),f319(f319(f244(f926(x97421),f926(x97421)),f319(f319(f143(x97421),x97422),x97423)),f319(f319(f143(x97421),x97424),x97425))),f137(x97421,x97426)))+~P1(f319(f319(f321(f931(x97421,x97421)),f319(f319(f244(x97421,x97421),x97422),x97424)),x97426)) % 219.27/219.53 [9776]P1(f319(f319(f321(f931(x97761,x97761)),f319(f319(f244(x97761,x97761),x97762),x97763)),f319(f319(f175(f931(x97761,x97761),a923),f319(a104,x97764)),x97765)))+~P1(f319(f319(f321(f931(x97761,x97761)),f319(f319(f244(x97761,x97761),x97766),x97763)),x97765))+~P1(f319(f319(f321(f931(x97761,x97761)),f319(f319(f244(x97761,x97761),x97762),x97766)),f319(f319(f175(f931(x97761,x97761),a923),x97764),x97765))) % 219.27/219.53 [9777]P1(f319(f319(f321(f931(x97771,x97771)),f319(f319(f244(x97771,x97771),x97772),x97773)),f319(f319(f175(f931(x97771,x97771),a923),f319(a104,x97774)),x97775)))+~P1(f319(f319(f321(f931(x97771,x97771)),f319(f319(f244(x97771,x97771),x97772),x97776)),x97775))+~P1(f319(f319(f321(f931(x97771,x97771)),f319(f319(f244(x97771,x97771),x97776),x97773)),f319(f319(f175(f931(x97771,x97771),a923),x97774),x97775))) % 219.27/219.53 [9780]~P1(f319(f319(f321(x97804),x97805),x97806))+P1(f319(f319(f226(f932(x97801,a923)),x97802),x97803))+~P1(f319(f319(f226(f932(f931(x97801,x97804),a923)),f319(f319(f246(x97801,x97804),x97802),f319(f16(f932(x97804,a923),x97801),x97806))),f319(f319(f246(x97801,x97804),x97803),f319(f16(f932(x97804,a923),x97801),x97806)))) % 219.27/219.53 [9825]E(x98251,x98252)+~P1(f319(f319(f321(f931(f926(x98253),f926(x98253))),f319(f319(f244(f926(x98253),f926(x98253)),f319(f319(f143(x98253),x98251),x98255)),f319(f319(f143(x98253),x98252),x98256))),f137(x98253,x98254)))+P1(f319(f319(f321(f931(x98253,x98253)),f319(f319(f244(x98253,x98253),x98251),x98252)),x98254)) % 219.27/219.53 [9826]E(x98261,x98262)+~P1(f319(f319(f321(f931(f926(x98263),f926(x98263))),f319(f319(f244(f926(x98263),f926(x98263)),f319(f319(f143(x98263),x98261),x98265)),f319(f319(f143(x98263),x98262),x98266))),f139(x98263,x98264)))+P1(f319(f319(f321(f931(x98263,x98263)),f319(f319(f244(x98263,x98263),x98261),x98262)),x98264)) % 219.27/219.53 [9827]E(x98271,x98272)+~P1(f319(f319(f321(f931(f926(x98273),f926(x98273))),f319(f319(f244(f926(x98273),f926(x98273)),f319(f319(f143(x98273),x98271),x98275)),f319(f319(f143(x98273),x98272),x98276))),f149(x98273,x98274)))+P1(f319(f319(f321(f931(x98273,x98273)),f319(f319(f244(x98273,x98273),x98271),x98272)),x98274)) % 219.27/219.53 [9864]P1(f319(f319(f321(f931(f926(x98641),f926(x98641))),f319(f319(f244(f926(x98641),f926(x98641)),f319(f319(f143(x98641),x98642),x98643)),f319(f319(f143(x98641),x98644),x98645))),f150(x98641,x98646)))+~P1(f319(f319(f321(f931(f926(x98641),f926(x98641))),f319(f319(f244(f926(x98641),f926(x98641)),x98643),x98645)),f150(x98641,x98646)))+~P1(f319(f319(f321(f931(x98641,x98641)),f319(f319(f244(x98641,x98641),x98642),x98644)),x98646)) % 219.27/219.53 [9881]P1(f319(x98811,x98812))+~P1(f319(x98811,f382(x98811,x98813,x98814,x98815,x98816)))+~P1(f319(f319(f321(x98816),x98812),f319(f319(f33(x98815,f932(x98816,a923)),x98814),x98813))) % 219.27/219.53 [9886]~P1(f319(f319(f321(f931(f926(x98861),f926(x98861))),f319(f319(f244(f926(x98861),f926(x98861)),f319(f319(f143(x98861),x98862),x98865)),f319(f319(f143(x98861),x98863),x98866))),f137(x98861,x98864)))+P1(f319(f319(f321(f931(f926(x98861),f926(x98861))),f319(f319(f244(f926(x98861),f926(x98861)),x98865),x98866)),f137(x98861,x98864)))+P1(f319(f319(f321(f931(x98861,x98861)),f319(f319(f244(x98861,x98861),x98862),x98863)),x98864)) % 219.27/219.53 [9887]~P1(f319(f319(f321(f931(f926(x98871),f926(x98871))),f319(f319(f244(f926(x98871),f926(x98871)),f319(f319(f143(x98871),x98872),x98875)),f319(f319(f143(x98871),x98873),x98876))),f139(x98871,x98874)))+P1(f319(f319(f321(f931(f926(x98871),f926(x98871))),f319(f319(f244(f926(x98871),f926(x98871)),x98875),x98876)),f139(x98871,x98874)))+P1(f319(f319(f321(f931(x98871,x98871)),f319(f319(f244(x98871,x98871),x98872),x98873)),x98874)) % 219.27/219.53 [9888]~P1(f319(f319(f321(f931(f926(x98881),f926(x98881))),f319(f319(f244(f926(x98881),f926(x98881)),f319(f319(f143(x98881),x98882),x98885)),f319(f319(f143(x98881),x98883),x98886))),f149(x98881,x98884)))+P1(f319(f319(f321(f931(f926(x98881),f926(x98881))),f319(f319(f244(f926(x98881),f926(x98881)),x98885),x98886)),f149(x98881,x98884)))+P1(f319(f319(f321(f931(x98881,x98881)),f319(f319(f244(x98881,x98881),x98882),x98883)),x98884)) % 219.27/219.53 [9988]P1(f319(x99881,x99882))+P1(f319(f319(f321(x99883),f364(x99881,x99884,x99885,x99883,x99886)),x99885))+~P1(f319(f319(f321(x99886),x99882),f319(f319(f33(x99883,f932(x99886,a923)),x99885),x99884))) % 219.27/219.53 [10000]~E(x100002,x100004)+P1(f319(f319(f321(f931(f926(x100001),f926(x100001))),f319(f319(f244(f926(x100001),f926(x100001)),f319(f319(f126(x100001),x100002),f319(f319(f143(x100001),x100003),f105(x100001)))),f319(f319(f126(x100001),x100004),f319(f319(f143(x100001),x100005),f105(x100001))))),f149(x100001,x100006)))+~P1(f319(f319(f321(f931(x100001,x100001)),f319(f319(f244(x100001,x100001),x100003),x100005)),x100006)) % 219.27/219.53 [10081]E(x100811,x100812)+~P1(f319(f319(f321(f931(f926(x100813),f926(x100813))),f319(f319(f244(f926(x100813),f926(x100813)),f319(f319(f126(x100813),x100815),f319(f319(f143(x100813),x100811),f105(x100813)))),f319(f319(f126(x100813),x100816),f319(f319(f143(x100813),x100812),f105(x100813))))),f149(x100813,x100814)))+P1(f319(f319(f321(f931(x100813,x100813)),f319(f319(f244(x100813,x100813),x100811),x100812)),x100814)) % 219.27/219.53 [10113]~P1(f319(f319(f321(f931(f926(x101131),f926(x101131))),f319(f319(f244(f926(x101131),f926(x101131)),f319(f319(f126(x101131),x101135),f319(f319(f143(x101131),x101132),f105(x101131)))),f319(f319(f126(x101131),x101136),f319(f319(f143(x101131),x101133),f105(x101131))))),f149(x101131,x101134)))+P1(f319(f319(f321(f931(f926(x101131),f926(x101131))),f319(f319(f244(f926(x101131),f926(x101131)),x101135),x101136)),f149(x101131,x101134)))+P1(f319(f319(f321(f931(x101131,x101131)),f319(f319(f244(x101131,x101131),x101132),x101133)),x101134)) % 219.27/219.53 [10133]P1(f319(x101331,x101332))+P1(f319(f319(f321(x101333),f382(x101331,x101334,x101335,x101336,x101333)),f319(x101334,f364(x101331,x101334,x101335,x101336,x101333))))+~P1(f319(f319(f321(x101333),x101332),f319(f319(f33(x101336,f932(x101333,a923)),x101335),x101334))) % 219.27/219.53 [10289]P1(f319(f319(f321(x102891),f528(x102892,x102893,x102894,x102895,x102896,x102891)),x102895))+~P1(f319(f319(f226(f932(x102891,a923)),x102896),x102895))+P1(f319(f319(f226(f932(x102894,a923)),f319(f319(f34(x102891,f932(x102894,a923)),x102895),x102893)),f319(f319(f34(x102891,f932(x102894,a923)),x102895),x102892))) % 219.27/219.53 [10290]P1(f319(f319(f321(x102901),f546(x102902,x102903,x102904,x102905,x102906,x102901)),x102906))+~P1(f319(f319(f226(f932(x102901,a923)),x102906),x102905))+P1(f319(f319(f226(f932(x102904,a923)),f319(f319(f33(x102901,f932(x102904,a923)),x102906),x102903)),f319(f319(f33(x102901,f932(x102904,a923)),x102905),x102902))) % 219.27/219.53 [10411]~P1(f319(f319(f226(f932(x104111,a923)),f319(x104114,f546(x104116,x104114,x104111,x104115,x104113,x104112))),f319(x104116,f546(x104116,x104114,x104111,x104115,x104113,x104112))))+~P1(f319(f319(f226(f932(x104112,a923)),x104113),x104115))+P1(f319(f319(f226(f932(x104111,a923)),f319(f319(f33(x104112,f932(x104111,a923)),x104113),x104114)),f319(f319(f33(x104112,f932(x104111,a923)),x104115),x104116))) % 219.27/219.53 [10412]~P1(f319(f319(f226(f932(x104121,a923)),f319(x104124,f528(x104125,x104124,x104121,x104123,x104126,x104122))),f319(x104125,f528(x104125,x104124,x104121,x104123,x104126,x104122))))+~P1(f319(f319(f226(f932(x104122,a923)),x104126),x104123))+P1(f319(f319(f226(f932(x104121,a923)),f319(f319(f34(x104122,f932(x104121,a923)),x104123),x104124)),f319(f319(f34(x104122,f932(x104121,a923)),x104123),x104125))) % 219.27/219.53 [9102]~P17(x91023,x91024,x91021)+~P1(f319(f55(x91023),x91026))+E(f319(f319(x91021,x91022),f319(f319(f58(x91023,x91024,x91021),x91025),f319(f319(f23(f932(x91023,a923)),x91026),f319(f319(f301(x91023),x91022),f180(f932(x91023,a923)))))),f319(f319(f58(x91023,x91024,x91021),x91025),f319(f319(f301(x91023),x91022),x91026))) % 219.27/219.53 [9404]~P1(f319(f319(f321(x94045),x94043),x94046))+P1(f319(f319(f226(f932(x94041,a923)),f319(x94042,x94043)),x94044))+~P1(f319(f319(f226(f932(x94041,a923)),f319(f319(f33(x94045,f932(x94041,a923)),x94046),x94042)),x94044)) % 219.27/219.53 [10054]~P9(x100541,x100545,x100544)+P1(f319(f319(f321(f931(x100541,x100541)),f319(f319(f244(x100541,x100541),x100542),x100543)),x100544))+~P1(f319(f319(f321(x100541),x100546),f319(f319(f93(f932(x100541,a923)),f319(f277(x100541,x100541,x100544),f319(f319(f301(x100541),x100542),f180(f932(x100541,a923))))),f319(f277(x100541,x100541,x100544),f319(f319(f301(x100541),x100543),f180(f932(x100541,a923))))))) % 219.27/219.53 [8822]~P116(x88222)+~E(f319(f319(f74(x88222),f319(f319(f75(x88222),x88224),x88225)),x88221),f319(f319(f74(x88222),f319(f319(f75(x88222),x88223),x88225)),x88226))+E(x88221,f319(f319(f74(x88222),f319(f319(f75(x88222),f319(f319(f23(x88222),x88223),x88224)),x88225)),x88226)) % 219.27/219.53 [8823]~P116(x88231)+~E(f319(f319(f74(x88231),f319(f319(f75(x88231),x88232),x88234)),x88235),f319(f319(f74(x88231),f319(f319(f75(x88231),x88233),x88234)),x88236))+E(f319(f319(f74(x88231),f319(f319(f75(x88231),f319(f319(f23(x88231),x88232),x88233)),x88234)),x88235),x88236) % 219.27/219.53 [9006]~P116(x90061)+E(f319(f319(f74(x90061),f319(f319(f75(x90061),x90062),x90063)),x90064),f319(f319(f74(x90061),f319(f319(f75(x90061),x90065),x90063)),x90066))+~E(x90066,f319(f319(f74(x90061),f319(f319(f75(x90061),f319(f319(f23(x90061),x90062),x90065)),x90063)),x90064)) % 219.27/219.53 [9007]~P116(x90071)+E(f319(f319(f74(x90071),f319(f319(f75(x90071),x90072),x90073)),x90074),f319(f319(f74(x90071),f319(f319(f75(x90071),x90075),x90073)),x90076))+~E(f319(f319(f74(x90071),f319(f319(f75(x90071),f319(f319(f23(x90071),x90072),x90075)),x90073)),x90074),x90076) % 219.27/219.53 [9339]~P1(f319(f319(x93394,x93395),x93396))+~P1(f319(f319(x93393,x93395),x93396))+P1(f319(f319(f319(f319(f93(f932(x93391,f932(x93392,a923))),x93393),x93394),x93395),x93396)) % 219.27/219.53 [9604]P1(f319(f319(x96041,x96042),x96043))+P1(f319(f319(x96044,x96042),x96043))+~P1(f319(f319(f319(f319(f102(f932(x96045,f932(x96046,a923))),x96044),x96041),x96042),x96043)) % 219.27/219.53 [9901]~P132(x99011)+~P1(f319(f319(f226(x99011),f319(f319(f74(x99011),f319(f319(f75(x99011),x99014),x99015)),x99012)),f319(f319(f74(x99011),f319(f319(f75(x99011),x99013),x99015)),x99016)))+P1(f319(f319(f226(x99011),x99012),f319(f319(f74(x99011),f319(f319(f75(x99011),f319(f319(f23(x99011),x99013),x99014)),x99015)),x99016))) % 219.27/219.53 [9902]~P132(x99021)+~P1(f319(f319(f227(x99021),f319(f319(f74(x99021),f319(f319(f75(x99021),x99024),x99025)),x99022)),f319(f319(f74(x99021),f319(f319(f75(x99021),x99023),x99025)),x99026)))+P1(f319(f319(f227(x99021),x99022),f319(f319(f74(x99021),f319(f319(f75(x99021),f319(f319(f23(x99021),x99023),x99024)),x99025)),x99026))) % 219.27/219.53 [9928]~P132(x99281)+P1(f319(f319(f226(x99281),f319(f319(f74(x99281),f319(f319(f75(x99281),x99282),x99283)),x99284)),f319(f319(f74(x99281),f319(f319(f75(x99281),x99285),x99283)),x99286)))+~P1(f319(f319(f226(x99281),x99284),f319(f319(f74(x99281),f319(f319(f75(x99281),f319(f319(f23(x99281),x99285),x99282)),x99283)),x99286))) % 219.27/219.53 [9929]~P132(x99291)+P1(f319(f319(f227(x99291),f319(f319(f74(x99291),f319(f319(f75(x99291),x99292),x99293)),x99294)),f319(f319(f74(x99291),f319(f319(f75(x99291),x99295),x99293)),x99296)))+~P1(f319(f319(f227(x99291),x99294),f319(f319(f74(x99291),f319(f319(f75(x99291),f319(f319(f23(x99291),x99295),x99292)),x99293)),x99296))) % 219.27/219.53 [10046]~P132(x100461)+~P1(f319(f319(f226(x100461),f319(f319(f74(x100461),f319(f319(f75(x100461),x100462),x100464)),x100465)),f319(f319(f74(x100461),f319(f319(f75(x100461),x100463),x100464)),x100466)))+P1(f319(f319(f226(x100461),f319(f319(f74(x100461),f319(f319(f75(x100461),f319(f319(f23(x100461),x100462),x100463)),x100464)),x100465)),x100466)) % 219.27/219.53 [10047]~P132(x100471)+~P1(f319(f319(f227(x100471),f319(f319(f74(x100471),f319(f319(f75(x100471),x100472),x100474)),x100475)),f319(f319(f74(x100471),f319(f319(f75(x100471),x100473),x100474)),x100476)))+P1(f319(f319(f227(x100471),f319(f319(f74(x100471),f319(f319(f75(x100471),f319(f319(f23(x100471),x100472),x100473)),x100474)),x100475)),x100476)) % 219.27/219.53 [10096]~P132(x100961)+P1(f319(f319(f226(x100961),f319(f319(f74(x100961),f319(f319(f75(x100961),x100962),x100963)),x100964)),f319(f319(f74(x100961),f319(f319(f75(x100961),x100965),x100963)),x100966)))+~P1(f319(f319(f226(x100961),f319(f319(f74(x100961),f319(f319(f75(x100961),f319(f319(f23(x100961),x100962),x100965)),x100963)),x100964)),x100966)) % 219.27/219.53 [10097]~P132(x100971)+P1(f319(f319(f227(x100971),f319(f319(f74(x100971),f319(f319(f75(x100971),x100972),x100973)),x100974)),f319(f319(f74(x100971),f319(f319(f75(x100971),x100975),x100973)),x100976)))+~P1(f319(f319(f227(x100971),f319(f319(f74(x100971),f319(f319(f75(x100971),f319(f319(f23(x100971),x100972),x100975)),x100973)),x100974)),x100976)) % 219.27/219.53 [10272]~P79(x102722)+~P1(f319(f55(x102721),x102726))+E(f319(f319(f6(x102721,x102722),f319(f319(f18(x102721,x102722,x102722),f319(f319(f18(x102721,x102722,f932(x102722,x102722)),f319(f319(f8(a923,f932(x102722,f932(x102722,x102722)),x102721),f86(x102722)),x102723)),x102724)),x102725)),x102726),f319(f319(f74(x102722),f319(f319(f6(x102721,x102722),x102724),f319(f319(f93(f932(x102721,a923)),x102726),f319(f254(x102721),x102723)))),f319(f319(f6(x102721,x102722),x102725),f319(f319(f93(f932(x102721,a923)),x102726),f319(f73(f932(x102721,a923)),f319(f254(x102721),x102723)))))) % 219.27/219.53 [10335]P1(f319(f319(f321(x103352),x103354),x103356))+P1(f319(f319(f321(x103352),x103355),x103356))+E(f319(f303(x103351,x103352,f319(f319(f7(x103351,x103352,x103352),f319(f319(f7(x103351,x103352,f932(x103352,x103352)),f319(f319(f8(a923,f932(x103352,f932(x103352,x103352)),x103351),f86(x103352)),f319(f319(f7(x103351,f932(x103351,a923),a923),f321(x103351)),x103353))),x103354)),x103355)),x103356),f180(f932(x103351,a923))) % 219.27/219.53 [10336]P1(f319(f319(f321(x103362),x103365),x103366))+~P1(f319(f319(f321(x103362),x103364),x103366))+E(f319(f303(x103361,x103362,f319(f319(f7(x103361,x103362,x103362),f319(f319(f7(x103361,x103362,f932(x103362,x103362)),f319(f319(f8(a923,f932(x103362,f932(x103362,x103362)),x103361),f86(x103362)),f319(f319(f7(x103361,f932(x103361,a923),a923),f321(x103361)),x103363))),x103364)),x103365)),x103366),x103363) % 219.27/219.53 [10337]P1(f319(f319(f321(x103372),x103374),x103376))+~P1(f319(f319(f321(x103372),x103375),x103376))+E(f319(f303(x103371,x103372,f319(f319(f7(x103371,x103372,x103372),f319(f319(f7(x103371,x103372,f932(x103372,x103372)),f319(f319(f8(a923,f932(x103372,f932(x103372,x103372)),x103371),f86(x103372)),f319(f319(f7(x103371,f932(x103371,a923),a923),f321(x103371)),x103373))),x103374)),x103375)),x103376),f319(f73(f932(x103371,a923)),x103373)) % 219.27/219.53 [10338]~P1(f319(f319(f321(x103382),x103384),x103386))+~P1(f319(f319(f321(x103382),x103385),x103386))+E(f319(f303(x103381,x103382,f319(f319(f7(x103381,x103382,x103382),f319(f319(f7(x103381,x103382,f932(x103382,x103382)),f319(f319(f8(a923,f932(x103382,f932(x103382,x103382)),x103381),f86(x103382)),f319(f319(f7(x103381,f932(x103381,a923),a923),f321(x103381)),x103383))),x103384)),x103385)),x103386),f234(f932(x103381,a923))) % 219.27/219.53 [8855]E(x88551,x88552)+~P61(x88554,x88555,x88553,x88556,x88557)+~E(f319(x88553,x88551),f319(x88553,x88552)) % 219.27/219.53 [8884]~P11(x88846,x88845,x88847,x88844,x88841)+E(f319(f319(x88841,x88842),x88843),x88844)+P1(f319(f55(x88845),x88843)) % 219.27/219.53 [9765]P44(x97651,x97652,x97653,x97654,x97655,f319(f319(x97653,x97656),x97657))+~E(f319(f319(x97653,x97656),x97657),x97654)+~E(x97655,f180(f932(x97651,a923))) % 219.27/219.53 [9955]~P1(f319(x99556,x99553))+~P1(f319(f319(f321(f931(x99552,x99552)),f319(f319(f244(x99552,x99552),x99554),x99555)),f319(x99557,x99553)))+P1(f319(f319(f321(f931(f931(x99551,x99552),f931(x99551,x99552))),f319(f319(f244(f931(x99551,x99552),f931(x99551,x99552)),f319(f319(f244(x99551,x99552),x99553),x99554)),f319(f319(f244(x99551,x99552),x99553),x99555))),f272(x99551,x99552,x99556,x99557))) % 219.27/219.53 [10399]~P44(x103992,x103997,x103993,x103996,x103991,f319(f319(x103993,x103995),x103994))+E(f319(f319(x103993,f897(x103994,x103995,x103991,x103996,x103993,x103997,x103992)),f898(x103994,x103995,x103991,x103996,x103993,x103997,x103992)),f319(f319(x103993,x103995),x103994))+E(x103991,f180(f932(x103992,a923))) % 219.27/219.53 [10400]~P44(x104007,x104006,x104001,x104004,x104005,f319(f319(x104001,x104002),x104003))+E(f319(f319(x104001,f897(x104003,x104002,x104005,x104004,x104001,x104006,x104007)),f898(x104003,x104002,x104005,x104004,x104001,x104006,x104007)),f319(f319(x104001,x104002),x104003))+E(f319(f319(x104001,x104002),x104003),x104004) % 219.27/219.53 [9438]~P35(x94381,x94382,x94383,x94385,x94387)+P35(x94381,x94382,x94383,f319(f319(f143(x94381),x94384),x94385),f319(f319(f143(x94382),x94386),x94387))+~P1(f319(f319(x94383,x94384),x94386)) % 219.27/219.53 [9456]P35(x94561,x94562,x94563,x94564,x94565)+~P35(x94561,x94562,x94563,f319(f319(f126(x94561),x94566),x94564),f319(f319(f126(x94562),x94567),x94565))+~E(f319(f181(f926(x94561)),x94566),f319(f181(f926(x94562)),x94567)) % 219.27/219.53 [9457]P35(x94571,x94572,x94573,x94574,x94575)+~P35(x94571,x94572,x94573,f319(f319(f126(x94571),x94574),x94576),f319(f319(f126(x94572),x94575),x94577))+~E(f319(f181(f926(x94571)),x94574),f319(f181(f926(x94572)),x94575)) % 219.27/219.53 [9671]~P35(x96711,x96712,x96713,x96715,x96717)+~P35(x96711,x96712,x96713,x96714,x96716)+P35(x96711,x96712,x96713,f319(f319(f126(x96711),x96714),x96715),f319(f319(f126(x96712),x96716),x96717)) % 219.27/219.53 [10037]~P1(f319(f60(x100371,x100374,x100375,x100376,x100373),x100377))+P1(f319(f60(x100371,x100374,x100375,x100376,f319(f319(f301(x100371),x100372),x100373)),f319(f319(x100375,x100372),x100377)))+P1(f319(f319(f321(x100371),x100372),x100373)) % 219.27/219.53 [10428]~P44(x104282,x104287,x104286,x104285,x104281,f319(f319(x104286,x104284),x104283))+E(x104281,f180(f932(x104282,a923)))+P1(f319(f319(f321(x104282),f897(x104283,x104284,x104281,x104285,x104286,x104287,x104282)),x104281)) % 219.27/219.53 [10429]~P44(x104295,x104297,x104291,x104294,x104296,f319(f319(x104291,x104292),x104293))+E(f319(f319(x104291,x104292),x104293),x104294)+P1(f319(f319(f321(x104295),f897(x104293,x104292,x104296,x104294,x104291,x104297,x104295)),x104296)) % 219.27/219.53 [10520]E(f319(f319(f244(x105201,x105202),x105203),x105204),f319(f319(f244(x105201,x105202),x105205),x105206))+P1(f319(f319(f321(f931(f931(x105201,x105202),f931(x105201,x105202))),f319(f319(f244(f931(x105201,x105202),f931(x105201,x105202)),f319(f319(f244(x105201,x105202),f850(x105207,x105204,x105203,x105206,x105205,x105202,x105201)),f851(x105207,x105204,x105203,x105206,x105205,x105202,x105201))),f319(f319(f244(x105201,x105202),x105203),x105204))),f299(f931(x105201,x105202),x105207)))+~P1(f319(f319(f321(f931(f931(x105201,x105202),f931(x105201,x105202))),f319(f319(f244(f931(x105201,x105202),f931(x105201,x105202)),f319(f319(f244(x105201,x105202),x105205),x105206)),f319(f319(f244(x105201,x105202),x105203),x105204))),f299(f931(x105201,x105202),x105207))) % 219.27/219.53 [9127]~P22(x91274,x91275,x91276,x91277,x91271)+~P1(f319(f55(x91275),x91273))+E(f319(f319(x91271,x91272),x91273),f319(f319(f319(f59(x91274,x91275,x91276),x91272),x91277),x91273)) % 219.27/219.53 [9128]~P11(x91284,x91285,x91286,x91287,x91281)+~P1(f319(f55(x91285),x91283))+E(f319(f319(x91281,x91282),x91283),f319(f319(f319(f59(x91284,x91285,x91286),x91282),x91287),x91283)) % 219.27/219.53 [9922]~P24(x99223,x99224,x99225,x99227,x99226,x99221)+~P1(f319(f55(x99224),x99222))+E(f319(x99221,x99222),f319(f319(f319(f59(x99223,x99224,x99225),x99226),x99227),x99222)) % 219.27/219.53 [10091]P44(x100911,x100912,x100913,x100914,x100915,f319(f319(x100913,x100916),x100917))+~P44(x100911,x100912,x100913,x100914,f319(f319(f23(f932(x100911,a923)),x100915),f319(f319(f301(x100911),x100916),f180(f932(x100911,a923)))),x100917)+~P1(f319(f319(f321(x100911),x100916),x100915)) % 219.27/219.53 [10453]P1(f319(f319(x104537,f809(x104534,x104535,x104531,x104536,x104533,x104532,x104537)),f810(x104534,x104535,x104531,x104536,x104533,x104532,x104537)))+~P1(f319(f319(x104537,f319(f248(x104532,x104533),x104536)),f319(f243(x104532,x104533),x104536)))+P1(f319(x104531,f319(f319(f249(x104532,x104533,x104534),x104535),x104536))) % 219.27/219.53 [10463]~P44(x104632,x104633,x104634,x104635,x104631,f319(f319(x104634,x104637),x104636))+P44(x104632,x104633,x104634,x104635,f319(f319(f23(f932(x104632,a923)),x104631),f319(f319(f301(x104632),f897(x104636,x104637,x104631,x104635,x104634,x104633,x104632)),f180(f932(x104632,a923)))),f898(x104636,x104637,x104631,x104635,x104634,x104633,x104632))+E(x104631,f180(f932(x104632,a923))) % 219.27/219.53 [10464]~P44(x104645,x104646,x104641,x104644,x104647,f319(f319(x104641,x104642),x104643))+P44(x104645,x104646,x104641,x104644,f319(f319(f23(f932(x104645,a923)),x104647),f319(f319(f301(x104645),f897(x104643,x104642,x104647,x104644,x104641,x104646,x104645)),f180(f932(x104645,a923)))),f898(x104643,x104642,x104647,x104644,x104641,x104646,x104645))+E(f319(f319(x104641,x104642),x104643),x104644) % 219.27/219.53 [10486]~P1(f319(x104861,f319(f319(x104865,f810(x104864,x104865,x104861,x104866,x104863,x104862,x104867)),f809(x104864,x104865,x104861,x104866,x104863,x104862,x104867))))+~P1(f319(f319(x104867,f319(f248(x104862,x104863),x104866)),f319(f243(x104862,x104863),x104866)))+P1(f319(x104861,f319(f319(f249(x104862,x104863,x104864),x104865),x104866))) % 219.27/219.53 [9750]P1(f319(f319(f226(f932(f931(x97501,x97502),a923)),f319(f319(f281(x97501,x97503,x97502),x97504),x97505)),f319(f319(f281(x97501,x97503,x97502),x97506),x97507)))+~P1(f319(f319(f226(f932(f931(x97503,x97502),a923)),x97505),x97507))+~P1(f319(f319(f226(f932(f931(x97501,x97503),a923)),x97504),x97506)) % 219.27/219.53 [10514]E(f319(f319(f244(x105141,x105142),x105143),x105144),f319(f319(f244(x105141,x105142),x105145),x105146))+~P1(f319(f319(f321(f931(f931(x105141,x105142),f931(x105141,x105142))),f319(f319(f244(f931(x105141,x105142),f931(x105141,x105142)),f319(f319(f244(x105141,x105142),x105143),x105144)),f319(f319(f244(x105141,x105142),x105145),x105146))),f299(f931(x105141,x105142),x105147)))+P1(f319(f319(f321(f931(f931(x105141,x105142),f931(x105141,x105142))),f319(f319(f244(f931(x105141,x105142),f931(x105141,x105142)),f319(f319(f244(x105141,x105142),x105143),x105144)),f319(f319(f244(x105141,x105142),f850(x105147,x105146,x105145,x105144,x105143,x105142,x105141)),f851(x105147,x105146,x105145,x105144,x105143,x105142,x105141)))),x105147)) % 219.27/219.53 [10102]~P1(f319(f319(f321(x101021),x101026),x101025))+P1(f319(f60(x101021,x101022,x101023,x101024,x101025),f319(f319(x101023,x101026),x101027)))+~P1(f319(f60(x101021,x101022,x101023,x101024,f319(f319(f23(f932(x101021,a923)),x101025),f319(f319(f301(x101021),x101026),f180(f932(x101021,a923))))),x101027)) % 219.27/219.53 [10527]~P143(x105271)+~P26(f931(x105272,x105273),x105271,f319(f249(x105272,x105273,x105271),f319(f319(f7(x105272,f932(x105273,x105271),f932(x105273,x105271)),f319(f319(f8(f932(x105271,x105271),f932(f932(x105273,x105271),f932(x105273,x105271)),x105272),f8(x105271,x105271,x105273)),f319(f319(f8(x105271,f932(x105271,x105271),x105272),f75(x105271)),x105274))),x105275)),f319(f319(f246(x105272,x105273),x105276),f319(f16(f932(x105273,a923),x105272),x105277)))+E(f319(f319(f6(x105271,x105271),f25(x105271)),f319(f254(x105271),f319(f319(f8(f932(x105272,a923),a923,x105271),f81(x105272)),f319(f319(f8(f932(x105272,f932(x105273,a923)),f932(x105272,a923),x105271),f319(f8(f932(x105273,a923),a923,x105272),f81(x105273))),f319(f319(f7(x105271,f932(x105272,f932(x105273,a923)),f932(x105272,f932(x105273,a923))),f319(f319(f8(f932(x105272,f932(f932(x105273,a923),f932(x105273,a923))),f932(f932(x105272,f932(x105273,a923)),f932(x105272,f932(x105273,a923))),x105271),f18(x105272,f932(x105273,a923),f932(x105273,a923))),f319(f319(f8(f932(x105272,f932(x105273,f932(a923,a923))),f932(x105272,f932(f932(x105273,a923),f932(x105273,a923))),x105271),f319(f8(f932(x105273,f932(a923,a923)),f932(f932(x105273,a923),f932(x105273,a923)),x105272),f18(x105273,a923,a923))),f319(f319(f8(f932(x105272,f932(x105273,a923)),f932(x105272,f932(x105273,f932(a923,a923))),x105271),f319(f8(f932(x105273,a923),f932(x105273,f932(a923,a923)),x105272),f319(f8(a923,f932(a923,a923),x105273),a317))),f319(f319(f7(x105271,f932(x105272,f932(x105273,x105271)),f932(x105272,f932(x105273,a923))),f319(f319(f8(f932(f932(x105273,x105271),f932(x105273,a923)),f932(f932(x105272,f932(x105273,x105271)),f932(x105272,f932(x105273,a923))),x105271),f8(f932(x105273,x105271),f932(x105273,a923),x105272)),f319(f319(f8(f932(x105271,a923),f932(f932(x105273,x105271),f932(x105273,a923)),x105271),f8(x105271,a923,x105273)),a316))),f319(f319(f7(x105272,f932(x105273,x105271),f932(x105273,x105271)),f319(f319(f8(f932(x105271,x105271),f932(f932(x105273,x105271),f932(x105273,x105271)),x105272),f8(x105271,x105271,x105273)),f319(f319(f8(x105271,f932(x105271,x105271),x105272),f75(x105271)),x105274))),x105275)))))),f319(f319(f7(x105272,f932(x105273,a923),f932(x105273,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x105273,a923),f932(x105273,a923)),x105272),f8(a923,a923,x105273)),f319(f319(f8(a923,f932(a923,a923),x105272),a317),f319(f319(f7(x105272,f932(x105272,a923),a923),f321(x105272)),x105276)))),f319(f319(f7(x105273,f932(x105273,a923),a923),f321(x105273)),x105277))))))),f319(f319(f75(x105271),f319(f319(f6(x105272,x105271),x105274),x105276)),f319(f319(f6(x105273,x105271),x105275),x105277))) % 219.27/219.53 [9754]~P27(x97541,x97543,x97545,x97546,x97548)+~P27(x97543,x97542,x97544,x97548,x97547)+P27(x97541,x97542,f319(f66(x97543,x97542,x97541,x97544),x97545),x97546,x97547) % 219.27/219.53 [9785]P27(x97851,x97852,x97853,x97854,x97855)+~P27(x97856,x97851,x97857,x97858,x97854)+~P27(x97856,x97852,f319(f66(x97851,x97852,x97856,x97853),x97857),x97858,x97855) % 219.27/219.53 [9920]~P1(f319(f319(x99204,x99206),x99208))+~P1(f319(f319(x99205,x99208),x99207))+P1(f319(f319(f245(x99201,x99202,x99203,x99204,x99205),x99206),x99207)) % 219.27/219.53 [9509]~P20(x95098,x95091,x95093,x95095)+~P1(f319(f55(x95098),x95096))+E(f319(f66(x95091,x95091,x95092,f319(x95093,x95094)),f319(f66(x95091,x95091,x95092,f319(x95095,x95096)),x95097)),f319(f66(x95091,x95091,x95092,f319(x95095,x95096)),f319(f66(x95091,x95091,x95092,f319(x95093,x95094)),x95097))) % 219.27/219.53 [9910]~P23(x99107,x99102,x99105,x99108,x99106,x99101)+~P1(f319(f55(x99102),x99104))+E(f319(x99101,f319(f319(f301(x99102),x99103),x99104)),f319(f319(x99105,f319(x99106,x99103)),f319(x99101,x99104))) % 219.27/219.53 [10043]~P26(x100432,x100434,x100436,x100438)+~P26(x100431,x100433,x100435,x100437)+P26(f931(x100431,x100432),f931(x100433,x100434),f250(x100431,x100433,x100432,x100434,x100435,x100436),f319(f319(f246(x100431,x100432),x100437),f319(f16(f932(x100432,a923),x100431),x100438))) % 219.27/219.53 [9698]P1(f319(f319(f321(f931(x96981,x96982)),f319(f319(f244(x96981,x96982),x96983),x96984)),f319(f319(f281(x96981,x96985,x96982),x96986),x96987)))+~P1(f319(f319(f321(f931(x96981,x96985)),f319(f319(f244(x96981,x96985),x96983),x96988)),x96986))+~P1(f319(f319(f321(f931(x96985,x96982)),f319(f319(f244(x96985,x96982),x96988),x96984)),x96987)) % 219.27/219.53 [9889]~P1(f319(f319(f226(f932(f931(x98893,x98892),a923)),x98895),f319(f319(f246(x98893,x98892),x98898),f319(f16(f932(x98892,a923),x98893),x98897))))+~P1(f319(f319(f226(f932(f931(x98891,x98893),a923)),x98894),f319(f319(f246(x98891,x98893),x98896),f319(f16(f932(x98893,a923),x98891),x98898))))+P1(f319(f319(f226(f932(f931(x98891,x98892),a923)),f319(f319(f281(x98891,x98893,x98892),x98894),x98895)),f319(f319(f246(x98891,x98892),x98896),f319(f16(f932(x98892,a923),x98891),x98897)))) % 219.27/219.53 [9947]~E(x99473,x99475)+P1(f319(f319(f321(f931(f931(x99471,x99472),f931(x99471,x99472))),f319(f319(f244(f931(x99471,x99472),f931(x99471,x99472)),f319(f319(f244(x99471,x99472),x99473),x99474)),f319(f319(f244(x99471,x99472),x99475),x99476))),f312(x99471,x99472,x99477,x99478)))+~P1(f319(f319(f321(f931(x99472,x99472)),f319(f319(f244(x99472,x99472),x99474),x99476)),x99478)) % 219.27/219.53 [10063]E(x100631,x100632)+~P1(f319(f319(f321(f931(f931(x100633,x100635),f931(x100633,x100635))),f319(f319(f244(f931(x100633,x100635),f931(x100633,x100635)),f319(f319(f244(x100633,x100635),x100631),x100636)),f319(f319(f244(x100633,x100635),x100632),x100637))),f312(x100633,x100635,x100634,x100638)))+P1(f319(f319(f321(f931(x100633,x100633)),f319(f319(f244(x100633,x100633),x100631),x100632)),x100634)) % 219.27/219.53 [10080]~P1(f319(f319(f321(f931(f931(x100801,x100805),f931(x100801,x100805))),f319(f319(f244(f931(x100801,x100805),f931(x100801,x100805)),f319(f319(f244(x100801,x100805),x100802),x100806)),f319(f319(f244(x100801,x100805),x100803),x100807))),f312(x100801,x100805,x100804,x100808)))+P1(f319(f319(f321(f931(x100801,x100801)),f319(f319(f244(x100801,x100801),x100802),x100803)),x100804))+P1(f319(f319(f321(f931(x100805,x100805)),f319(f319(f244(x100805,x100805),x100806),x100807)),x100808)) % 219.27/219.53 [9989]~P24(x99897,x99895,x99891,x99898,x99892,x99894)+~P1(f319(f55(x99895),x99896))+E(f319(f319(x99891,f319(x99892,x99893)),f319(x99894,f319(f319(f23(f932(x99895,a923)),x99896),f319(f319(f301(x99895),x99893),f180(f932(x99895,a923)))))),f319(x99894,f319(f319(f301(x99895),x99893),x99896))) % 219.27/219.53 [9462]~P1(f319(f319(f319(x94625,x94628),x94626),x94627))+~P1(f319(f319(f321(x94621),x94628),x94624))+P1(f319(f319(f319(f319(f33(x94621,f932(x94622,f932(x94623,a923))),x94624),x94625),x94626),x94627)) % 219.27/219.53 [9682]P1(f319(f319(f319(x96821,x96822),x96823),x96824))+~P1(f319(f319(f321(x96825),x96822),x96826))+~P1(f319(f319(f319(f319(f34(x96825,f932(x96827,f932(x96828,a923))),x96826),x96821),x96823),x96824)) % 219.27/219.53 [9882]~P22(x98823,x98822,x98824,x98828,x98821)+~P1(f319(f55(x98822),x98827))+E(f319(f319(x98821,f319(f319(f18(x98822,x98823,x98823),f319(f319(f8(x98823,f932(x98823,x98823),x98822),x98824),x98825)),x98826)),x98827),f319(f319(x98824,f319(f319(x98821,x98825),x98827)),f319(f319(x98821,x98826),x98827))) % 219.27/219.53 [10167]~E(f319(f302(x101672,x101674,x101676),x101678),x1016710)+~E(f319(f302(x101671,x101673,x101675),x101677),x101679)+E(f319(f302(f931(x101671,x101672),f931(x101673,x101674),f250(x101671,x101673,x101672,x101674,x101675,x101676)),f319(f319(f246(x101671,x101672),x101677),f319(f16(f932(x101672,a923),x101671),x101678))),f319(f319(f246(x101673,x101674),x101679),f319(f16(f932(x101674,a923),x101673),x1016710))) % 219.27/219.53 [5086]~P50(x50861,x50862)+~P54(x50861,x50862)+~P55(x50861,x50862)+P8(x50861,x50862) % 219.27/219.53 [5042]~P4(x50422)+~P14(x50422,x50421)+P14(x50422,f106(x50422,x50421))+E(x50421,f105(x50422)) % 219.27/219.53 [5043]~P4(x50432)+~P14(x50432,x50431)+P14(x50432,f729(x50431,x50432))+E(x50431,f105(x50432)) % 219.27/219.53 [5285]~P6(x52852)+E(f10(x52852,x52851),f32(x52852,x52851))+E(x52851,f180(f932(x52852,a923)))+~P1(f319(f55(x52852),x52851)) % 219.27/219.53 [5286]~P6(x52862)+E(f13(x52862,x52861),f31(x52862,x52861))+E(x52861,f180(f932(x52862,a923)))+~P1(f319(f55(x52862),x52861)) % 219.27/219.53 [5449]~P4(x54492)+~P14(x54492,x54491)+E(x54491,f105(x54492))+E(f319(f319(f143(x54492),f748(x54491,x54492)),f729(x54491,x54492)),x54491) % 219.27/219.53 [6259]~P102(x62592)+E(x62591,f180(f932(x62592,a923)))+P1(f319(f319(f226(x62592),f10(x62592,x62591)),f13(x62592,x62591)))+~P1(f319(f55(x62592),x62591)) % 219.27/219.53 [6268]~P42(x62682)+~P42(x62681)+E(x62681,x62682)+~E(f319(f302(a1,a925,a96),x62681),f319(f302(a1,a925,a96),x62682)) % 219.27/219.53 [9317]~P126(x93171)+~P1(f319(f319(f321(x93171),x93172),f101(x93171)))+P1(f319(f319(f227(x93171),f319(f319(f74(x93171),f319(f319(f74(x93171),f72(x93171)),x93172)),x93172)),f2(x93171)))+~P1(f319(f319(f227(x93171),x93172),f2(x93171))) % 219.27/219.53 [9564]~P126(x95641)+~P1(f319(f319(f321(x95641),x95642),f101(x95641)))+~P1(f319(f319(f227(x95641),f319(f319(f74(x95641),f319(f319(f74(x95641),f72(x95641)),x95642)),x95642)),f2(x95641)))+P1(f319(f319(f227(x95641),x95642),f2(x95641))) % 219.27/219.53 [5101]~P143(x51012)+~P119(x51012)+E(x51011,f2(a925))+E(f319(f319(f236(x51012),f2(x51012)),x51011),f2(x51012)) % 219.27/219.53 [5104]~P143(x51041)+~P119(x51041)+~E(x51042,f2(a925))+E(f319(f319(f236(x51041),f2(x51041)),x51042),f72(x51041)) % 219.27/219.53 [5271]~P144(x52712)+E(x52711,f72(x52712))+E(x52711,f319(f73(x52712),f72(x52712)))+~E(f319(f319(f75(x52712),x52711),x52711),f72(x52712)) % 219.27/219.53 [5523]~P94(x55232)+E(x55231,f2(x55232))+E(f76(x55232,x55231),f319(f73(x55232),f72(x55232)))+P1(f319(f319(f227(x55232),f2(x55232)),x55231)) % 219.27/219.53 [5762]~P94(x57622)+E(f76(x57622,x57621),f72(x57622))+E(x57621,f2(x57622))+~P1(f319(f319(f227(x57622),f2(x57622)),x57621)) % 219.27/219.53 [5771]E(x57711,x57712)+~E(f319(f95(a925),x57711),f319(f95(a925),x57712))+P1(f319(a185,f319(f95(a1),x57712)))+P1(f319(a185,f319(f95(a1),x57711))) % 219.27/219.53 [5821]~P98(x58211)+~E(x58212,f2(x58211))+E(f319(f319(f74(x58211),x58212),x58212),f2(x58211))+~P1(f319(f319(f321(x58211),x58212),f101(x58211))) % 219.27/219.53 [5861]E(x58611,f2(a1))+~E(f319(f319(f30(a1),x58612),x58611),f2(a1))+P1(f319(f319(f227(a1),x58611),x58612))+P1(f319(f319(f227(a1),x58612),x58611)) % 219.27/219.53 [5891]E(x58911,f2(a1))+~E(f319(f319(f30(a1),x58912),x58911),f2(a1))+P1(f319(f319(f226(a1),x58912),f2(a1)))+P1(f319(f319(f227(a1),x58912),x58911)) % 219.27/219.53 [5925]E(x59251,f2(a1))+~E(f319(f319(f30(a1),x59252),x59251),f2(a1))+P1(f319(f319(f226(a1),f2(a1)),x59252))+P1(f319(f319(f227(a1),x59251),x59252)) % 219.27/219.53 [5960]~P98(x59602)+E(x59601,f2(x59602))+~E(f319(f319(f74(x59602),x59601),x59601),f2(x59602))+~P1(f319(f319(f321(x59602),x59601),f101(x59602))) % 219.27/219.53 [6022]E(f319(f95(a925),x60221),f319(f95(a925),x60222))+~E(f319(f95(a1),x60222),f2(a1))+P1(f319(a185,f319(f95(a1),x60222)))+~P1(f319(a185,f319(f95(a1),x60221))) % 219.27/219.53 [6052]~E(f319(f95(a925),x60522),f319(f95(a925),x60521))+E(f319(f95(a1),x60521),f2(a1))+P1(f319(a185,f319(f95(a1),x60521)))+~P1(f319(a185,f319(f95(a1),x60522))) % 219.27/219.53 [6062]~P4(x60622)+E(x60621,f180(f932(x60622,a923)))+~P1(f319(f55(x60622),x60621))+P1(f319(f319(f321(x60622),f14(x60622,x60621)),x60621)) % 219.27/219.53 [6063]~P4(x60632)+E(x60631,f180(f932(x60632,a923)))+~P1(f319(f55(x60632),x60631))+P1(f319(f319(f321(x60632),f15(x60632,x60631)),x60631)) % 219.27/219.53 [6236]~P126(x62361)+~P99(x62361)+P1(f319(f319(f226(x62361),f2(x62361)),f319(f95(x62361),x62362)))+~P1(f319(f319(f226(a1),a77),x62362)) % 219.27/219.53 [6237]~P126(x62371)+~P99(x62371)+P1(f319(f319(f227(x62371),f2(x62371)),f319(f95(x62371),x62372)))+~P1(f319(f319(f227(a1),a77),x62372)) % 219.27/219.53 [6258]~P126(x62581)+~P99(x62581)+E(f319(f69(x62581),f319(f95(x62581),x62582)),f319(f95(x62581),x62582))+P1(f319(f319(f227(x62581),f319(f95(x62581),x62582)),f2(x62581))) % 219.27/219.53 [6292]E(x62921,x62922)+~E(f319(a96,x62921),f319(a96,x62922))+~P1(f319(f319(f226(a1),f2(a1)),x62922))+~P1(f319(f319(f226(a1),f2(a1)),x62921)) % 219.27/219.53 [6485]~P99(x64852)+~P126(x64852)+~P1(f319(f319(f226(x64852),f2(x64852)),f319(f95(x64852),x64851)))+P1(f319(f319(f226(a1),a77),x64851)) % 219.27/219.53 [6486]~P99(x64862)+~P126(x64862)+~P1(f319(f319(f227(x64862),f2(x64862)),f319(f95(x64862),x64861)))+P1(f319(f319(f227(a1),a77),x64861)) % 219.27/219.53 [6491]~P126(x64911)+~P99(x64911)+P1(f319(f319(f226(x64911),f319(f95(x64911),x64912)),f2(x64911)))+~P1(f319(f319(f226(a1),x64912),a77)) % 219.27/219.53 [6492]~P126(x64921)+~P99(x64921)+P1(f319(f319(f227(x64921),f319(f95(x64921),x64922)),f2(x64921)))+~P1(f319(f319(f227(a1),x64922),a77)) % 219.27/219.53 [6814]~P99(x68142)+~P126(x68142)+~P1(f319(f319(f226(x68142),f319(f95(x68142),x68141)),f2(x68142)))+P1(f319(f319(f226(a1),x68141),a77)) % 219.27/219.53 [6815]~P99(x68152)+~P126(x68152)+~P1(f319(f319(f227(x68152),f319(f95(x68152),x68151)),f2(x68152)))+P1(f319(f319(f227(a1),x68151),a77)) % 219.27/219.53 [6908]~P126(x69081)+~P99(x69081)+E(f319(f69(x69081),f319(f95(x69081),x69082)),f319(f73(x69081),f319(f95(x69081),x69082)))+~P1(f319(f319(f227(x69081),f319(f95(x69081),x69082)),f2(x69081))) % 219.27/219.53 [6928]E(f319(f95(a925),x69281),f319(f95(a925),x69282))+~E(f319(f95(a1),x69282),f2(a1))+~P1(f319(f319(f226(a1),f319(f95(a1),x69281)),f2(a1)))+~P1(f319(a185,f319(f95(a1),x69281))) % 219.27/219.53 [7802]~P4(x78022)+E(x78021,f180(f932(x78022,a923)))+~P1(f319(f55(x78022),x78021))+P1(f319(f319(f226(x78022),f11(x78022,f224(x78022),x78021)),f12(x78022,f225(x78022),x78021))) % 219.27/219.53 [8121]~P7(x81211)+~P42(x81212)+P1(f319(f319(f321(a1),x81211),x81212))+~P1(f319(f319(f321(a925),f319(a96,x81211)),f319(f302(a1,a925,a96),x81212))) % 219.27/219.53 [6058]~P145(x60582)+E(x60581,f2(a1))+E(f319(f73(x60582),f319(f94(x60582),f319(f73(a1),x60581))),f319(f94(x60582),x60581))+~P1(f319(f319(f227(a1),x60581),f2(a1))) % 219.27/219.53 [6137]~P98(x61371)+~P99(x61371)+~P29(x61371,f319(f95(x61371),x61372))+P29(x61371,f319(f95(x61371),f319(f319(f74(a1),x61372),x61372))) % 219.27/219.53 [6474]~P84(x64742)+E(x64741,f180(f932(x64742,a923)))+E(f15(x64742,f319(f302(x64742,x64742,f73(x64742)),x64741)),f319(f73(x64742),f14(x64742,x64741)))+~P1(f319(f55(x64742),x64741)) % 219.27/219.53 [6475]~P84(x64752)+E(x64751,f180(f932(x64752,a923)))+E(f14(x64752,f319(f302(x64752,x64752,f73(x64752)),x64751)),f319(f73(x64752),f15(x64752,x64751)))+~P1(f319(f55(x64752),x64751)) % 219.27/219.53 [6508]~P98(x65081)+~P99(x65081)+P29(x65081,f319(f95(x65081),x65082))+~P29(x65081,f319(f95(x65081),f319(f319(f74(a1),x65082),x65082))) % 219.27/219.53 [6600]E(x66001,f2(a1))+E(f319(a45,f44(f319(f73(a1),x66001),f319(f73(a1),x66002))),f40(x66001,x66002))+P1(f319(f319(f226(a1),f2(a1)),x66002))+~P1(f319(f319(f226(a1),f2(a1)),x66001)) % 219.27/219.53 [8912]~P42(x89122)+~P42(x89121)+P1(f319(f319(f227(f932(a925,a923)),f319(f302(a1,a925,a96),x89121)),f319(f302(a1,a925,a96),x89122)))+~P1(f319(f319(f227(f932(a1,a923)),x89121),x89122)) % 219.27/219.53 [9147]~E(f750(x91472,x91471),f751(x91472,x91471))+~P1(f319(f129(x91471),f752(x91472,x91471)))+~P1(f319(f129(f926(x91471)),x91472))+P1(f319(f129(x91471),f319(f134(f926(x91471),f926(x91471),f126(x91471),f105(x91471)),x91472))) % 219.27/219.53 [9236]~P42(x92362)+~P42(x92361)+~P1(f319(f319(f226(f932(a925,a923)),f319(f302(a1,a925,a96),x92361)),f319(f302(a1,a925,a96),x92362)))+P1(f319(f319(f226(f932(a1,a923)),x92361),x92362)) % 219.27/219.53 [9237]~P42(x92372)+~P42(x92371)+~P1(f319(f319(f227(f932(a925,a923)),f319(f302(a1,a925,a96),x92371)),f319(f302(a1,a925,a96),x92372)))+P1(f319(f319(f227(f932(a1,a923)),x92371),x92372)) % 219.27/219.53 [9243]~E(f750(x92432,x92431),f751(x92432,x92431))+~P1(f319(f129(f926(x92431)),x92432))+P1(f319(f129(x92431),f319(f134(f926(x92431),f926(x92431),f126(x92431),f105(x92431)),x92432)))+P1(f319(f319(f321(f926(x92431)),f752(x92432,x92431)),f319(f164(f926(x92431)),x92432))) % 219.27/219.53 [9285]~P1(f319(f129(x92851),f752(x92852,x92851)))+~P1(f319(f129(f926(x92851)),x92852))+P1(f319(f129(x92851),f319(f134(f926(x92851),f926(x92851),f126(x92851),f105(x92851)),x92852)))+P1(f319(f319(f321(f926(x92851)),f751(x92852,x92851)),f319(f164(f926(x92851)),x92852))) % 219.27/219.53 [9286]~P1(f319(f129(x92861),f752(x92862,x92861)))+~P1(f319(f129(f926(x92861)),x92862))+P1(f319(f129(x92861),f319(f134(f926(x92861),f926(x92861),f126(x92861),f105(x92861)),x92862)))+P1(f319(f319(f321(f926(x92861)),f750(x92862,x92861)),f319(f164(f926(x92861)),x92862))) % 219.27/219.53 [9364]~P1(f319(f129(f926(x93641)),x93642))+P1(f319(f129(x93641),f319(f134(f926(x93641),f926(x93641),f126(x93641),f105(x93641)),x93642)))+P1(f319(f319(f321(f926(x93641)),f751(x93642,x93641)),f319(f164(f926(x93641)),x93642)))+P1(f319(f319(f321(f926(x93641)),f752(x93642,x93641)),f319(f164(f926(x93641)),x93642))) % 219.27/219.53 [9365]~P1(f319(f129(f926(x93651)),x93652))+P1(f319(f129(x93651),f319(f134(f926(x93651),f926(x93651),f126(x93651),f105(x93651)),x93652)))+P1(f319(f319(f321(f926(x93651)),f750(x93652,x93651)),f319(f164(f926(x93651)),x93652)))+P1(f319(f319(f321(f926(x93651)),f752(x93652,x93651)),f319(f164(f926(x93651)),x93652))) % 219.27/219.53 [9379]~E(f319(f319(f93(f932(x93791,a923)),f319(f164(x93791),f751(x93792,x93791))),f319(f164(x93791),f750(x93792,x93791))),f180(f932(x93791,a923)))+~P1(f319(f129(x93791),f752(x93792,x93791)))+~P1(f319(f129(f926(x93791)),x93792))+P1(f319(f129(x93791),f319(f134(f926(x93791),f926(x93791),f126(x93791),f105(x93791)),x93792))) % 219.27/219.53 [9444]~E(f319(f319(f93(f932(x94441,a923)),f319(f164(x94441),f751(x94442,x94441))),f319(f164(x94441),f750(x94442,x94441))),f180(f932(x94441,a923)))+~P1(f319(f129(f926(x94441)),x94442))+P1(f319(f129(x94441),f319(f134(f926(x94441),f926(x94441),f126(x94441),f105(x94441)),x94442)))+P1(f319(f319(f321(f926(x94441)),f752(x94442,x94441)),f319(f164(f926(x94441)),x94442))) % 219.27/219.53 [9723]E(x97231,f2(a1))+E(x97232,f2(a1))+E(f319(f319(f80(a1,f931(a1,a1)),f319(f319(a209,x97232),x97231)),f319(f319(f18(a1,a1,f931(a1,a1)),f319(f319(f8(a1,f932(a1,f931(a1,a1)),a1),f244(a1,a1)),f319(f30(a1),x97232))),f319(f30(a1),x97231))),f207(x97232,x97231))+P1(f319(f319(f227(a1),x97231),f2(a1))) % 219.27/219.53 [8450]~P99(x84502)+~P126(x84502)+~P1(f319(f319(f226(x84502),f319(f95(x84502),x84501)),f72(x84502)))+P1(f319(f319(f226(a1),x84501),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))) % 219.27/219.53 [8451]~P99(x84512)+~P126(x84512)+~P1(f319(f319(f227(x84512),f319(f95(x84512),x84511)),f72(x84512)))+P1(f319(f319(f227(a1),x84511),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))) % 219.27/219.53 [8728]~P126(x87281)+~P99(x87281)+P1(f319(f319(f226(x87281),f319(f95(x87281),x87282)),f72(x87281)))+~P1(f319(f319(f226(a1),x87282),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))) % 219.27/219.53 [8729]~P126(x87291)+~P99(x87291)+P1(f319(f319(f227(x87291),f319(f95(x87291),x87292)),f72(x87291)))+~P1(f319(f319(f227(a1),x87292),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))) % 219.27/219.53 [8940]~P99(x89402)+~P126(x89402)+~P1(f319(f319(f226(x89402),f72(x89402)),f319(f95(x89402),x89401)))+P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),x89401)) % 219.27/219.53 [8941]~P99(x89412)+~P126(x89412)+~P1(f319(f319(f227(x89412),f72(x89412)),f319(f95(x89412),x89411)))+P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),x89411)) % 219.27/219.53 [9323]~P126(x93231)+~P99(x93231)+P1(f319(f319(f226(x93231),f72(x93231)),f319(f95(x93231),x93232)))+~P1(f319(f319(f226(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),x93232)) % 219.27/219.53 [9324]~P126(x93241)+~P99(x93241)+P1(f319(f319(f227(x93241),f72(x93241)),f319(f95(x93241),x93242)))+~P1(f319(f319(f227(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),x93242)) % 219.27/219.53 [9855]~P144(x98552)+E(x98551,f72(x98552))+E(x98551,f319(f73(x98552),f72(x98552)))+~E(f319(f319(f236(x98552),x98551),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f72(x98552)) % 219.27/219.53 [10143]~P74(x101431)+~P99(x101431)+~P1(f319(f319(f227(x101431),f2(x101431)),x101432))+P1(f319(f319(f227(x101431),f2(x101431)),f319(f319(f283(x101431),x101432),f319(f95(x101431),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.27/219.53 [10198]~P74(x101981)+~P99(x101981)+P1(f319(f319(f227(x101981),f2(x101981)),x101982))+~P1(f319(f319(f227(x101981),f2(x101981)),f319(f319(f283(x101981),x101982),f319(f95(x101981),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.27/219.53 [10493]~P145(x104932)+E(x104931,f2(a1))+P1(f319(f319(f227(a1),x104931),f2(a1)))+E(f319(f319(f249(a1,a1,x104932),f319(f319(f7(a1,f932(a1,f932(x104932,x104932)),f932(a1,x104932)),f319(f319(f8(f932(f932(x104932,x104932),x104932),f932(f932(a1,f932(x104932,x104932)),f932(a1,x104932)),a1),f8(f932(x104932,x104932),x104932,a1)),f319(f319(f8(x104932,f932(f932(x104932,x104932),x104932),a1),f80(x104932,x104932)),f94(x104932)))),f319(f319(f7(a1,f932(x104932,x104932),f932(x104932,x104932)),f319(f319(f8(f932(x104932,f932(x104932,x104932)),f932(f932(x104932,x104932),f932(x104932,x104932)),a1),f18(x104932,x104932,x104932)),f319(f319(f7(a1,f932(x104932,x104932),f932(x104932,f932(x104932,x104932))),f319(f319(f8(f932(x104932,f932(x104932,x104932)),f932(f932(x104932,x104932),f932(x104932,f932(x104932,x104932))),a1),f8(x104932,f932(x104932,x104932),x104932)),f319(f319(f8(a923,f932(x104932,f932(x104932,x104932)),a1),f86(x104932)),f319(f319(f7(a1,a1,a923),a316),f2(a1))))),f319(f319(f18(x104932,x104932,x104932),f74(x104932)),f5(x104932))))),f319(f319(f7(x104932,x104932,x104932),f319(f319(f8(x104932,f932(x104932,x104932),x104932),f74(x104932)),f319(f319(f18(x104932,x104932,x104932),f74(x104932)),f5(x104932)))),f72(x104932))))),f40(x104931,f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f94(x104932),x104931)) % 219.27/219.53 [5404]~P113(x54041)+~P113(x54042)+~P51(x54041,x54042,x54043)+P41(x54041,x54042,x54043) % 219.27/219.53 [5532]~P39(x55321,x55323)+~P56(x55321,x55323)+~P57(x55321,x55322,x55323)+P9(x55321,x55322,x55323) % 219.27/219.53 [5296]~P6(x52963)+~P41(x52963,x52963,x52961)+E(f319(x52961,x52962),x52962)+~E(x52962,f88(x52963,x52961)) % 219.27/219.53 [5297]~P6(x52973)+~P41(x52973,x52973,x52971)+E(f319(x52971,x52972),x52972)+~E(x52972,f87(x52973,x52971)) % 219.27/219.53 [5070]~P98(x50703)+~P99(x50703)+E(x50701,x50702)+~E(f319(f95(x50703),x50701),f319(f95(x50703),x50702)) % 219.27/219.53 [5542]~P54(x55421,x55422)+~P55(x55421,x55422)+P16(x55421,x55422)+~P1(f319(f319(x55422,x55423),x55423)) % 219.27/219.53 [6037]P16(x60372,x60371)+E(f319(x60371,f827(x60371)),f319(x60371,f828(x60371)))+P1(f319(f319(x60371,f827(x60371)),f828(x60371)))+~P1(f319(f319(x60371,x60373),x60373)) % 219.27/219.53 [6070]~P113(x60701)+E(f230(x60701,x60702),x60703)+~P1(f319(x60702,x60703))+P1(f319(x60702,f334(x60703,x60702,x60701))) % 219.27/219.53 [6246]~P1(f319(x62461,x62462))+~P1(f319(x62461,x62463))+~P1(f319(f319(f226(a925),x62463),f440(x62462,x62461)))+P1(f319(x62461,f2(a925))) % 219.27/219.53 [6311]P16(x63111,x63112)+P1(f319(f319(x63112,f827(x63112)),f827(x63112)))+P1(f319(f319(x63112,f827(x63112)),f828(x63112)))+~P1(f319(f319(x63112,x63113),x63113)) % 219.27/219.53 [6312]P16(x63121,x63122)+P1(f319(f319(x63122,f827(x63122)),f828(x63122)))+P1(f319(f319(x63122,f828(x63122)),f828(x63122)))+~P1(f319(f319(x63122,x63123),x63123)) % 219.27/219.53 [6666]P152(x66662,x66661,x66663)+E(x66661,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f868(x66663,x66661,x66662)))+P1(f319(f319(f227(a1),x66661),f2(a1))) % 219.27/219.53 [6667]P151(x66672,x66671,x66673)+E(x66671,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f874(x66673,x66671,x66672)))+P1(f319(f319(f227(a1),x66671),f2(a1))) % 219.27/219.53 [6791]P151(x67911,x67912,x67913)+~P1(f319(x67911,x67913))+P1(f319(f319(f226(a1),f2(a1)),f874(x67913,x67912,x67911)))+P1(f319(f319(f227(a1),x67912),f2(a1))) % 219.27/219.53 [6820]P152(x68201,x68202,x68203)+P1(f319(f319(f226(a1),f2(a1)),f868(x68203,x68202,x68201)))+~P1(f319(x68201,f2(a1)))+P1(f319(f319(f227(a1),x68202),f2(a1))) % 219.27/219.53 [6850]P152(x68502,x68501,x68503)+E(x68501,f2(a1))+~P1(f319(x68502,f869(x68503,x68501,x68502)))+P1(f319(f319(f227(a1),x68501),f2(a1))) % 219.27/219.53 [6851]P151(x68512,x68511,x68513)+E(x68511,f2(a1))+~P1(f319(x68512,f874(x68513,x68511,x68512)))+P1(f319(f319(f227(a1),x68511),f2(a1))) % 219.27/219.53 [6935]~P113(x69351)+E(f230(x69351,x69352),x69353)+~P1(f319(x69352,x69353))+~P1(f319(f319(f226(x69351),x69353),f334(x69353,x69352,x69351))) % 219.27/219.53 [6953]~P4(x69531)+~P6(x69531)+~P1(f319(f319(f227(x69531),x69532),f31(x69531,x69533)))+P1(f319(f319(f227(x69531),x69532),f879(x69533,x69532,x69531))) % 219.27/219.53 [6963]P151(x69631,x69632,x69633)+~P1(f319(x69631,x69633))+~P1(f319(x69631,f874(x69633,x69632,x69631)))+P1(f319(f319(f227(a1),x69632),f2(a1))) % 219.27/219.53 [6993]P152(x69931,x69932,x69933)+~P1(f319(x69931,f869(x69933,x69932,x69931)))+~P1(f319(x69931,f2(a1)))+P1(f319(f319(f227(a1),x69932),f2(a1))) % 219.27/219.53 [7242]P152(x72422,x72421,x72423)+E(x72421,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f868(x72423,x72421,x72422)))+P1(f319(f319(f227(a1),x72421),f867(x72423,x72421,x72422))) % 219.27/219.53 [7243]P151(x72432,x72431,x72433)+E(x72431,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f874(x72433,x72431,x72432)))+P1(f319(f319(f227(a1),x72431),f878(x72433,x72431,x72432))) % 219.27/219.53 [7364]P151(x73641,x73642,x73643)+~P1(f319(x73641,x73643))+P1(f319(f319(f226(a1),f2(a1)),f874(x73643,x73642,x73641)))+P1(f319(f319(f227(a1),x73642),f878(x73643,x73642,x73641))) % 219.27/219.53 [7385]P152(x73851,x73852,x73853)+P1(f319(f319(f226(a1),f2(a1)),f868(x73853,x73852,x73851)))+P1(f319(f319(f227(a1),x73852),f867(x73853,x73852,x73851)))+~P1(f319(x73851,f2(a1))) % 219.27/219.53 [7417]P152(x74172,x74171,x74173)+E(x74171,f2(a1))+~P1(f319(x74172,f869(x74173,x74171,x74172)))+P1(f319(f319(f227(a1),x74171),f867(x74173,x74171,x74172))) % 219.27/219.53 [7418]P151(x74182,x74181,x74183)+E(x74181,f2(a1))+~P1(f319(x74182,f874(x74183,x74181,x74182)))+P1(f319(f319(f227(a1),x74181),f878(x74183,x74181,x74182))) % 219.27/219.53 [7463]P152(x74632,x74631,x74633)+E(x74631,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f868(x74633,x74631,x74632)))+~P1(f319(x74632,f873(x74633,x74631,x74632))) % 219.27/219.53 [7464]P151(x74642,x74641,x74643)+E(x74641,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f874(x74643,x74641,x74642)))+~P1(f319(x74642,f878(x74643,x74641,x74642))) % 219.27/219.53 [7558]P151(x75581,x75582,x75583)+~P1(f319(x75581,x75583))+~P1(f319(x75581,f874(x75583,x75582,x75581)))+P1(f319(f319(f227(a1),x75582),f878(x75583,x75582,x75581))) % 219.27/219.53 [7573]P152(x75731,x75732,x75733)+~P1(f319(x75731,f869(x75733,x75732,x75731)))+P1(f319(f319(f227(a1),x75732),f867(x75733,x75732,x75731)))+~P1(f319(x75731,f2(a1))) % 219.27/219.53 [7576]P151(x75761,x75762,x75763)+~P1(f319(x75761,x75763))+P1(f319(f319(f226(a1),f2(a1)),f874(x75763,x75762,x75761)))+~P1(f319(x75761,f878(x75763,x75762,x75761))) % 219.27/219.53 [7592]P152(x75921,x75922,x75923)+P1(f319(f319(f226(a1),f2(a1)),f868(x75923,x75922,x75921)))+~P1(f319(x75921,f873(x75923,x75922,x75921)))+~P1(f319(x75921,f2(a1))) % 219.27/219.53 [7614]P152(x76142,x76141,x76143)+E(x76141,f2(a1))+~P1(f319(x76142,f869(x76143,x76141,x76142)))+~P1(f319(x76142,f873(x76143,x76141,x76142))) % 219.27/219.53 [7615]P151(x76152,x76151,x76153)+E(x76151,f2(a1))+~P1(f319(x76152,f874(x76153,x76151,x76152)))+~P1(f319(x76152,f878(x76153,x76151,x76152))) % 219.27/219.53 [7700]P151(x77001,x77002,x77003)+~P1(f319(x77001,x77003))+~P1(f319(x77001,f874(x77003,x77002,x77001)))+~P1(f319(x77001,f878(x77003,x77002,x77001))) % 219.27/219.53 [7717]P152(x77171,x77172,x77173)+~P1(f319(x77171,f869(x77173,x77172,x77171)))+~P1(f319(x77171,f873(x77173,x77172,x77171)))+~P1(f319(x77171,f2(a1))) % 219.27/219.53 [7761]P152(x77612,x77611,x77613)+E(x77611,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f868(x77613,x77611,x77612)))+P1(f319(f319(f226(a1),f867(x77613,x77611,x77612)),f2(a1))) % 219.27/219.53 [7762]P151(x77622,x77621,x77623)+E(x77621,f2(a1))+P1(f319(f319(f226(a1),f2(a1)),f874(x77623,x77621,x77622)))+P1(f319(f319(f226(a1),f878(x77623,x77621,x77622)),f2(a1))) % 219.27/219.53 [7763]~P93(x77631)+~P1(f319(f319(f226(x77631),x77633),f2(x77631)))+~P1(f319(f319(f226(x77631),x77632),f2(x77631)))+P1(f319(f319(f226(x77631),f319(f319(f74(x77631),x77632),x77633)),f2(x77631))) % 219.27/219.53 [7764]~P145(x77641)+~P1(f319(f319(f321(x77641),x77643),f101(x77641)))+~P1(f319(f319(f321(x77641),x77642),f101(x77641)))+P1(f319(f319(f321(x77641),f319(f319(f23(x77641),x77642),x77643)),f101(x77641))) % 219.27/219.53 [7765]~P145(x77651)+~P1(f319(f319(f321(x77651),x77653),f101(x77651)))+~P1(f319(f319(f321(x77651),x77652),f101(x77651)))+P1(f319(f319(f321(x77651),f319(f319(f75(x77651),x77652),x77653)),f101(x77651))) % 219.27/219.53 [7766]~P149(x77661)+~P1(f319(f319(f321(x77661),x77663),f178(x77661)))+~P1(f319(f319(f321(x77661),x77662),f178(x77661)))+P1(f319(f319(f321(x77661),f319(f319(f75(x77661),x77662),x77663)),f178(x77661))) % 219.27/219.53 [7767]~P145(x77671)+~P1(f319(f319(f321(x77671),x77673),f101(x77671)))+~P1(f319(f319(f321(x77671),x77672),f101(x77671)))+P1(f319(f319(f321(x77671),f319(f319(f74(x77671),x77672),x77673)),f101(x77671))) % 219.27/219.53 [7768]~P149(x77681)+~P1(f319(f319(f321(x77681),x77683),f178(x77681)))+~P1(f319(f319(f321(x77681),x77682),f178(x77681)))+P1(f319(f319(f321(x77681),f319(f319(f74(x77681),x77682),x77683)),f178(x77681))) % 219.27/219.53 [7769]~P93(x77691)+~P1(f319(f319(f226(x77691),x77693),f2(x77691)))+~P1(f319(f319(f227(x77691),x77692),f2(x77691)))+P1(f319(f319(f227(x77691),f319(f319(f74(x77691),x77692),x77693)),f2(x77691))) % 219.27/219.53 [7770]~P93(x77701)+~P1(f319(f319(f226(x77701),x77702),f2(x77701)))+~P1(f319(f319(f227(x77701),x77703),f2(x77701)))+P1(f319(f319(f227(x77701),f319(f319(f74(x77701),x77702),x77703)),f2(x77701))) % 219.27/219.53 [7771]~P93(x77711)+~P1(f319(f319(f227(x77711),x77713),f2(x77711)))+~P1(f319(f319(f227(x77711),x77712),f2(x77711)))+P1(f319(f319(f227(x77711),f319(f319(f74(x77711),x77712),x77713)),f2(x77711))) % 219.27/219.53 [7798]P152(x77983,x77981,x77982)+E(x77981,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x77981),f869(x77982,x77981,x77983))),f868(x77982,x77981,x77983)),x77982)+P1(f319(f319(f227(a1),x77981),f2(a1))) % 219.27/219.53 [7799]P151(x77993,x77991,x77992)+E(x77991,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x77991),f875(x77992,x77991,x77993))),f874(x77992,x77991,x77993)),x77992)+P1(f319(f319(f227(a1),x77991),f2(a1))) % 219.27/219.53 [7882]P151(x78821,x78822,x78823)+~P1(f319(x78821,x78823))+P1(f319(f319(f226(a1),f2(a1)),f874(x78823,x78822,x78821)))+P1(f319(f319(f226(a1),f878(x78823,x78822,x78821)),f2(a1))) % 219.27/219.53 [7912]P152(x79121,x79122,x79123)+P1(f319(f319(f226(a1),f2(a1)),f868(x79123,x79122,x79121)))+~P1(f319(x79121,f2(a1)))+P1(f319(f319(f226(a1),f867(x79123,x79122,x79121)),f2(a1))) % 219.27/219.53 [7921]P151(x79213,x79211,x79212)+~P1(f319(x79213,x79212))+E(f319(f319(f74(a1),f319(f319(f75(a1),x79211),f875(x79212,x79211,x79213))),f874(x79212,x79211,x79213)),x79212)+P1(f319(f319(f227(a1),x79211),f2(a1))) % 219.27/219.53 [7927]P152(x79272,x79271,x79273)+E(x79271,f2(a1))+~P1(f319(x79272,f869(x79273,x79271,x79272)))+P1(f319(f319(f226(a1),f867(x79273,x79271,x79272)),f2(a1))) % 219.27/219.53 [7928]P151(x79282,x79281,x79283)+E(x79281,f2(a1))+~P1(f319(x79282,f874(x79283,x79281,x79282)))+P1(f319(f319(f226(a1),f878(x79283,x79281,x79282)),f2(a1))) % 219.27/219.53 [7933]P152(x79333,x79331,x79332)+E(f319(f319(f74(a1),f319(f319(f75(a1),x79331),f869(x79332,x79331,x79333))),f868(x79332,x79331,x79333)),x79332)+~P1(f319(x79333,f2(a1)))+P1(f319(f319(f227(a1),x79331),f2(a1))) % 219.27/219.53 [7989]P151(x79891,x79892,x79893)+~P1(f319(x79891,x79893))+~P1(f319(x79891,f874(x79893,x79892,x79891)))+P1(f319(f319(f226(a1),f878(x79893,x79892,x79891)),f2(a1))) % 219.27/219.53 [7993]P152(x79931,x79932,x79933)+~P1(f319(x79931,f869(x79933,x79932,x79931)))+~P1(f319(x79931,f2(a1)))+P1(f319(f319(f226(a1),f867(x79933,x79932,x79931)),f2(a1))) % 219.27/219.53 [8062]~P130(x80621)+~P1(f319(f319(f226(x80621),f319(f319(f75(x80621),x80623),x80622)),f2(x80621)))+P1(f319(f319(f226(x80621),x80622),f2(x80621)))+P1(f319(f319(f226(x80621),x80623),f2(x80621))) % 219.27/219.53 [8063]~P74(x80631)+~P1(f319(f319(f226(x80631),f319(f319(f283(x80631),x80633),x80632)),f2(x80631)))+P1(f319(f319(f226(x80631),x80632),f2(x80631)))+P1(f319(f319(f226(x80631),x80633),f2(x80631))) % 219.27/219.53 [8064]~P74(x80641)+~P1(f319(f319(f227(x80641),f319(f319(f283(x80641),x80643),x80642)),f2(x80641)))+P1(f319(f319(f227(x80641),x80642),f2(x80641)))+P1(f319(f319(f227(x80641),x80643),f2(x80641))) % 219.27/219.53 [8178]P152(x81783,x81781,x81782)+E(x81781,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x81781),f869(x81782,x81781,x81783))),f868(x81782,x81781,x81783)),x81782)+P1(f319(f319(f227(a1),x81781),f867(x81782,x81781,x81783))) % 219.27/219.53 [8179]P151(x81793,x81791,x81792)+E(x81791,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x81791),f875(x81792,x81791,x81793))),f874(x81792,x81791,x81793)),x81792)+P1(f319(f319(f227(a1),x81791),f878(x81792,x81791,x81793))) % 219.27/219.53 [8192]P152(x81923,x81921,x81922)+E(x81921,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x81921),f873(x81922,x81921,x81923))),f867(x81922,x81921,x81923)),x81922)+P1(f319(f319(f226(a1),f2(a1)),f868(x81922,x81921,x81923))) % 219.27/219.53 [8193]P151(x81933,x81931,x81932)+E(x81931,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x81931),f876(x81932,x81931,x81933))),f878(x81932,x81931,x81933)),x81932)+P1(f319(f319(f226(a1),f2(a1)),f874(x81932,x81931,x81933))) % 219.27/219.53 [8236]P151(x82363,x82361,x82362)+~P1(f319(x82363,x82362))+E(f319(f319(f74(a1),f319(f319(f75(a1),x82361),f875(x82362,x82361,x82363))),f874(x82362,x82361,x82363)),x82362)+P1(f319(f319(f227(a1),x82361),f878(x82362,x82361,x82363))) % 219.27/219.53 [8245]P152(x82453,x82451,x82452)+E(f319(f319(f74(a1),f319(f319(f75(a1),x82451),f869(x82452,x82451,x82453))),f868(x82452,x82451,x82453)),x82452)+P1(f319(f319(f227(a1),x82451),f867(x82452,x82451,x82453)))+~P1(f319(x82453,f2(a1))) % 219.27/219.53 [8251]P151(x82513,x82511,x82512)+~P1(f319(x82513,x82512))+E(f319(f319(f74(a1),f319(f319(f75(a1),x82511),f876(x82512,x82511,x82513))),f878(x82512,x82511,x82513)),x82512)+P1(f319(f319(f226(a1),f2(a1)),f874(x82512,x82511,x82513))) % 219.27/219.53 [8257]P152(x82573,x82571,x82572)+E(f319(f319(f74(a1),f319(f319(f75(a1),x82571),f873(x82572,x82571,x82573))),f867(x82572,x82571,x82573)),x82572)+P1(f319(f319(f226(a1),f2(a1)),f868(x82572,x82571,x82573)))+~P1(f319(x82573,f2(a1))) % 219.27/219.53 [8268]P152(x82683,x82681,x82682)+E(x82681,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x82681),f869(x82682,x82681,x82683))),f868(x82682,x82681,x82683)),x82682)+~P1(f319(x82683,f873(x82682,x82681,x82683))) % 219.27/219.53 [8269]P151(x82693,x82691,x82692)+E(x82691,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x82691),f875(x82692,x82691,x82693))),f874(x82692,x82691,x82693)),x82692)+~P1(f319(x82693,f878(x82692,x82691,x82693))) % 219.27/219.53 [8270]P152(x82703,x82701,x82702)+E(x82701,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x82701),f873(x82702,x82701,x82703))),f867(x82702,x82701,x82703)),x82702)+~P1(f319(x82703,f869(x82702,x82701,x82703))) % 219.27/219.53 [8271]P151(x82713,x82711,x82712)+E(x82711,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x82711),f876(x82712,x82711,x82713))),f878(x82712,x82711,x82713)),x82712)+~P1(f319(x82713,f874(x82712,x82711,x82713))) % 219.27/219.53 [8330]P151(x83303,x83301,x83302)+~P1(f319(x83303,x83302))+E(f319(f319(f74(a1),f319(f319(f75(a1),x83301),f875(x83302,x83301,x83303))),f874(x83302,x83301,x83303)),x83302)+~P1(f319(x83303,f878(x83302,x83301,x83303))) % 219.27/219.53 [8331]P151(x83313,x83311,x83312)+~P1(f319(x83313,x83312))+E(f319(f319(f74(a1),f319(f319(f75(a1),x83311),f876(x83312,x83311,x83313))),f878(x83312,x83311,x83313)),x83312)+~P1(f319(x83313,f874(x83312,x83311,x83313))) % 219.27/219.53 [8344]P152(x83443,x83441,x83442)+E(f319(f319(f74(a1),f319(f319(f75(a1),x83441),f869(x83442,x83441,x83443))),f868(x83442,x83441,x83443)),x83442)+~P1(f319(x83443,f873(x83442,x83441,x83443)))+~P1(f319(x83443,f2(a1))) % 219.27/219.53 [8345]P152(x83453,x83451,x83452)+E(f319(f319(f74(a1),f319(f319(f75(a1),x83451),f873(x83452,x83451,x83453))),f867(x83452,x83451,x83453)),x83452)+~P1(f319(x83453,f869(x83452,x83451,x83453)))+~P1(f319(x83453,f2(a1))) % 219.27/219.53 [8443]P152(x84433,x84431,x84432)+E(x84431,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x84431),f869(x84432,x84431,x84433))),f868(x84432,x84431,x84433)),x84432)+P1(f319(f319(f226(a1),f867(x84432,x84431,x84433)),f2(a1))) % 219.27/219.53 [8444]P151(x84443,x84441,x84442)+E(x84441,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x84441),f875(x84442,x84441,x84443))),f874(x84442,x84441,x84443)),x84442)+P1(f319(f319(f226(a1),f878(x84442,x84441,x84443)),f2(a1))) % 219.27/219.53 [8484]P151(x84843,x84841,x84842)+~P1(f319(x84843,x84842))+E(f319(f319(f74(a1),f319(f319(f75(a1),x84841),f875(x84842,x84841,x84843))),f874(x84842,x84841,x84843)),x84842)+P1(f319(f319(f226(a1),f878(x84842,x84841,x84843)),f2(a1))) % 219.27/219.53 [8489]P152(x84893,x84891,x84892)+E(f319(f319(f74(a1),f319(f319(f75(a1),x84891),f869(x84892,x84891,x84893))),f868(x84892,x84891,x84893)),x84892)+~P1(f319(x84893,f2(a1)))+P1(f319(f319(f226(a1),f867(x84892,x84891,x84893)),f2(a1))) % 219.27/219.53 [8625]P152(x86253,x86251,x86252)+E(x86251,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x86251),f873(x86252,x86251,x86253))),f867(x86252,x86251,x86253)),x86252)+E(f319(f319(f74(a1),f319(f319(f75(a1),x86251),f869(x86252,x86251,x86253))),f868(x86252,x86251,x86253)),x86252) % 219.27/219.53 [8626]P151(x86263,x86261,x86262)+E(x86261,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x86261),f876(x86262,x86261,x86263))),f878(x86262,x86261,x86263)),x86262)+E(f319(f319(f74(a1),f319(f319(f75(a1),x86261),f875(x86262,x86261,x86263))),f874(x86262,x86261,x86263)),x86262) % 219.27/219.53 [8646]P151(x86463,x86461,x86462)+~P1(f319(x86463,x86462))+E(f319(f319(f74(a1),f319(f319(f75(a1),x86461),f876(x86462,x86461,x86463))),f878(x86462,x86461,x86463)),x86462)+E(f319(f319(f74(a1),f319(f319(f75(a1),x86461),f875(x86462,x86461,x86463))),f874(x86462,x86461,x86463)),x86462) % 219.27/219.53 [8657]P152(x86573,x86571,x86572)+E(f319(f319(f74(a1),f319(f319(f75(a1),x86571),f873(x86572,x86571,x86573))),f867(x86572,x86571,x86573)),x86572)+E(f319(f319(f74(a1),f319(f319(f75(a1),x86571),f869(x86572,x86571,x86573))),f868(x86572,x86571,x86573)),x86572)+~P1(f319(x86573,f2(a1))) % 219.27/219.53 [9332]~P130(x93321)+~E(x93323,f2(x93321))+~E(x93322,f2(x93321))+P1(f319(f319(f226(x93321),f319(f319(f74(x93321),f319(f319(f75(x93321),x93322),x93322)),f319(f319(f75(x93321),x93323),x93323))),f2(x93321))) % 219.27/219.53 [10431]~P126(x104311)+~E(x104313,f2(x104311))+~E(x104312,f2(x104311))+P1(f319(f319(f226(x104311),f319(f319(f74(x104311),f319(f319(f236(x104311),x104312),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x104311),x104313),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))),f2(x104311))) % 219.27/219.53 [5018]~E(x50183,x50181)+~P124(x50182)+E(x50181,f2(x50182))+E(f319(f319(f283(x50182),x50183),x50181),f72(x50182)) % 219.27/219.53 [5071]~P104(x50711)+~E(x50713,f180(x50711))+~E(x50712,f180(x50711))+E(f319(f319(f102(x50711),x50712),x50713),f180(x50711)) % 219.27/219.53 [5072]~P103(x50721)+~E(x50723,f234(x50721))+~E(x50722,f234(x50721))+E(f319(f319(f93(x50721),x50722),x50723),f234(x50721)) % 219.27/219.53 [5166]~P124(x51663)+E(x51661,x51662)+E(x51662,f2(x51663))+~E(f319(f319(f283(x51663),x51661),x51662),f72(x51663)) % 219.27/219.53 [5183]~P147(x51832)+E(x51831,f2(x51832))+E(x51833,f2(x51832))+~E(f319(f319(f75(x51832),x51833),x51831),f2(x51832)) % 219.27/219.53 [5185]~P138(x51852)+E(x51851,f2(x51852))+E(x51853,f2(x51852))+~E(f319(f319(f75(x51852),x51853),x51851),f2(x51852)) % 219.27/219.53 [5561]~P117(x55613)+E(x55611,x55612)+E(x55611,f319(f73(x55613),x55612))+~E(f319(f319(f75(x55613),x55611),x55611),f319(f319(f75(x55613),x55612),x55612)) % 219.27/219.53 [5600]~P96(x56001)+E(f319(f73(x56001),x56002),x56003)+~E(f319(f319(f102(x56001),x56002),x56003),f234(x56001))+~E(f319(f319(f93(x56001),x56002),x56003),f180(x56001)) % 219.27/219.53 [5679]~P126(x56793)+E(x56791,x56792)+P1(f319(f319(f227(x56793),x56792),x56791))+P1(f319(f319(f227(x56793),x56791),x56792)) % 219.27/219.53 [5680]~P4(x56803)+E(x56801,x56802)+P1(f319(f319(f227(x56803),x56802),x56801))+P1(f319(f319(f227(x56803),x56801),x56802)) % 219.27/219.53 [5681]~E(x56812,x56813)+~P4(x56811)+P1(f319(f319(f227(x56811),x56812),x56813))+P1(f319(f319(f226(x56811),x56812),x56813)) % 219.27/219.53 [5941]~P113(x59413)+E(x59411,x59412)+~P1(f319(f319(f226(x59413),x59412),x59411))+P1(f319(f319(f227(x59413),x59412),x59411)) % 219.27/219.53 [5943]~P4(x59433)+E(x59431,x59432)+~P1(f319(f319(f226(x59433),x59431),x59432))+P1(f319(f319(f227(x59433),x59431),x59432)) % 219.27/219.53 [5949]~P113(x59493)+E(x59491,x59492)+~P1(f319(f319(f226(x59493),x59491),x59492))+P1(f319(f319(f227(x59493),x59491),x59492)) % 219.27/219.53 [6055]P151(x60551,x60552,x60553)+~P1(f319(x60551,x60553))+P1(f319(f319(f227(a1),x60552),f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x60552)) % 219.27/219.53 [6110]P152(x61101,x61102,x61103)+~P1(f319(x61101,f2(a1)))+P1(f319(f319(f227(a1),x61102),f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x61102)) % 219.27/219.53 [6115]~P102(x61151)+E(f319(f319(f102(x61151),x61152),f10(x61151,x61153)),x61152)+~P1(f319(f55(x61151),x61153))+~P1(f319(f319(f321(x61151),x61152),x61153)) % 219.27/219.53 [6116]~P102(x61161)+E(f319(f319(f93(x61161),x61162),f13(x61161,x61163)),x61162)+~P1(f319(f55(x61161),x61163))+~P1(f319(f319(f321(x61161),x61162),x61163)) % 219.27/219.53 [6154]~P102(x61541)+E(f319(f319(f102(x61541),x61542),f13(x61541,x61543)),f13(x61541,x61543))+~P1(f319(f55(x61541),x61543))+~P1(f319(f319(f321(x61541),x61542),x61543)) % 219.27/219.53 [6155]~P102(x61551)+E(f319(f319(f93(x61551),x61552),f10(x61551,x61553)),f10(x61551,x61553))+~P1(f319(f55(x61551),x61553))+~P1(f319(f319(f321(x61551),x61552),x61553)) % 219.27/219.53 [6156]~P4(x61561)+E(f319(f319(f224(x61561),x61562),f14(x61561,x61563)),f14(x61561,x61563))+~P1(f319(f55(x61561),x61563))+~P1(f319(f319(f321(x61561),x61562),x61563)) % 219.27/219.53 [6157]~P4(x61571)+E(f319(f319(f225(x61571),x61572),f15(x61571,x61573)),f15(x61571,x61573))+~P1(f319(f55(x61571),x61573))+~P1(f319(f319(f321(x61571),x61572),x61573)) % 219.27/219.53 [6196]E(x61961,x61962)+~P113(x61963)+~P1(f319(f319(f226(x61963),x61962),x61961))+~P1(f319(f319(f226(x61963),x61961),x61962)) % 219.27/219.53 [6339]~P2(x63391)+P1(f319(f319(f227(x63391),x63393),x63392))+~P1(f319(f319(f226(x63391),x63393),x63392))+P1(f319(f319(f226(x63391),x63392),x63393)) % 219.27/219.53 [6365]~P4(x63651)+~P1(f319(f55(x63651),x63653))+P1(f319(f319(f226(x63651),x63652),f15(x63651,x63653)))+~P1(f319(f319(f321(x63651),x63652),x63653)) % 219.27/219.53 [6410]~P4(x64101)+E(f319(f319(f224(x64101),x64102),f12(x64101,f225(x64101),x64103)),x64102)+~P1(f319(f55(x64101),x64103))+~P1(f319(f319(f321(x64101),x64102),x64103)) % 219.27/219.53 [6411]~P4(x64111)+E(f319(f319(f225(x64111),x64112),f11(x64111,f224(x64111),x64113)),x64112)+~P1(f319(f55(x64111),x64113))+~P1(f319(f319(f321(x64111),x64112),x64113)) % 219.27/219.53 [6552]E(x65521,x65522)+~E(f319(f319(f23(a925),x65521),x65523),f319(f319(f23(a925),x65522),x65523))+~P1(f319(f319(f226(a925),x65523),x65521))+~P1(f319(f319(f226(a925),x65523),x65522)) % 219.27/219.53 [6579]~P4(x65791)+~P1(f319(f55(x65791),x65792))+~P1(f319(f319(f321(x65791),x65793),x65792))+P1(f319(f319(f226(x65791),f14(x65791,x65792)),x65793)) % 219.27/219.53 [6645]P152(x66452,x66451,x66453)+E(x66451,f2(a1))+P1(f319(f319(f227(a1),x66451),f867(x66453,x66451,x66452)))+P1(f319(f319(f227(a1),f2(a1)),x66451)) % 219.27/219.53 [6646]P151(x66462,x66461,x66463)+E(x66461,f2(a1))+P1(f319(f319(f227(a1),x66461),f878(x66463,x66461,x66462)))+P1(f319(f319(f227(a1),f2(a1)),x66461)) % 219.27/219.53 [6647]~P4(x66471)+E(f319(f319(f224(x66471),x66472),f11(x66471,f224(x66471),x66473)),f11(x66471,f224(x66471),x66473))+~P1(f319(f55(x66471),x66473))+~P1(f319(f319(f321(x66471),x66472),x66473)) % 219.27/219.53 [6648]~P4(x66481)+E(f319(f319(f225(x66481),x66482),f12(x66481,f225(x66481),x66483)),f12(x66481,f225(x66481),x66483))+~P1(f319(f55(x66481),x66483))+~P1(f319(f319(f321(x66481),x66482),x66483)) % 219.27/219.53 [6653]~P1(f319(x66531,x66532))+P1(f319(x66531,f523(x66532,x66531,x66533)))+P1(f319(x66531,f2(a925)))+~P1(f319(f319(f227(a925),x66532),x66533)) % 219.27/219.53 [6711]~P1(f319(x67111,x67112))+~P1(f319(f55(x67113),x67112))+P1(f319(x67111,f335(x67111,x67112,x67113)))+P1(f319(x67111,f180(f932(x67113,a923)))) % 219.27/219.53 [6724]~P126(x67241)+~P99(x67241)+P1(f319(f319(f226(x67241),f319(f95(x67241),x67242)),f319(f95(x67241),x67243)))+~P1(f319(f319(f226(a1),x67242),x67243)) % 219.27/219.53 [6725]~P126(x67251)+~P99(x67251)+P1(f319(f319(f227(x67251),f319(f95(x67251),x67252)),f319(f95(x67251),x67253)))+~P1(f319(f319(f227(a1),x67252),x67253)) % 219.27/219.53 [6728]~P1(f319(x67281,x67283))+~P1(f319(f55(x67282),x67283))+P1(f319(f55(x67282),f335(x67281,x67283,x67282)))+P1(f319(x67281,f180(f932(x67282,a923)))) % 219.27/219.53 [6761]P151(x67611,x67612,x67613)+~P1(f319(x67611,x67613))+P1(f319(f319(f227(a1),x67612),f878(x67613,x67612,x67611)))+P1(f319(f319(f227(a1),f2(a1)),x67612)) % 219.27/219.53 [6797]P152(x67971,x67972,x67973)+P1(f319(f319(f227(a1),x67972),f867(x67973,x67972,x67971)))+~P1(f319(x67971,f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x67972)) % 219.27/219.53 [6831]~P3(x68311)+~P100(x68311)+E(f319(f319(f224(x68311),f319(f95(x68311),x68312)),f319(f95(x68311),x68313)),f319(f95(x68311),x68313))+P1(f319(f319(f226(x68311),f319(f95(x68311),x68312)),f319(f95(x68311),x68313))) % 219.27/219.53 [6832]~P3(x68321)+~P100(x68321)+E(f319(f319(f225(x68321),f319(f95(x68321),x68322)),f319(f95(x68321),x68323)),f319(f95(x68321),x68322))+P1(f319(f319(f226(x68321),f319(f95(x68321),x68322)),f319(f95(x68321),x68323))) % 219.27/219.53 [6891]P152(x68912,x68911,x68913)+E(x68911,f2(a1))+~P1(f319(x68912,f873(x68913,x68911,x68912)))+P1(f319(f319(f227(a1),f2(a1)),x68911)) % 219.27/219.53 [6892]P151(x68922,x68921,x68923)+E(x68921,f2(a1))+~P1(f319(x68922,f878(x68923,x68921,x68922)))+P1(f319(f319(f227(a1),f2(a1)),x68921)) % 219.27/219.53 [6896]P1(f319(x68961,x68962))+~P1(f319(f55(x68963),x68962))+P1(f319(x68961,f777(x68961,x68962,x68963)))+~P1(f319(x68961,f180(f932(x68963,a923)))) % 219.27/219.53 [6919]P1(f319(x69191,x69192))+P1(f319(f55(x69193),f777(x69191,x69192,x69193)))+~P1(f319(f55(x69193),x69192))+~P1(f319(x69191,f180(f932(x69193,a923)))) % 219.27/219.53 [6982]P151(x69821,x69822,x69823)+~P1(f319(x69821,x69823))+~P1(f319(x69821,f878(x69823,x69822,x69821)))+P1(f319(f319(f227(a1),f2(a1)),x69822)) % 219.27/219.53 [7012]P152(x70121,x70122,x70123)+~P1(f319(x70121,f873(x70123,x70122,x70121)))+~P1(f319(x70121,f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x70122)) % 219.27/219.53 [7121]~P99(x71213)+~P126(x71213)+~P1(f319(f319(f226(x71213),f319(f95(x71213),x71211)),f319(f95(x71213),x71212)))+P1(f319(f319(f226(a1),x71211),x71212)) % 219.27/219.53 [7122]~P99(x71223)+~P126(x71223)+~P1(f319(f319(f227(x71223),f319(f95(x71223),x71221)),f319(f95(x71223),x71222)))+P1(f319(f319(f227(a1),x71221),x71222)) % 219.27/219.53 [7150]~P4(x71501)+~P14(x71501,x71503)+P14(x71501,f319(f319(f143(x71501),x71502),x71503))+~P1(f319(f319(f226(x71501),x71502),f732(x71503,x71502,x71501))) % 219.27/219.53 [7151]~P4(x71511)+~P14(x71511,x71513)+P14(x71511,f319(f319(f143(x71511),x71512),x71513))+~P1(f319(f319(f226(x71511),x71512),f734(x71513,x71512,x71511))) % 219.27/219.53 [7152]~P4(x71521)+~P14(x71521,x71523)+P14(x71521,f319(f319(f143(x71521),x71522),x71523))+~P1(f319(f319(f226(x71521),x71522),f759(x71522,x71523,x71521))) % 219.27/219.53 [7236]P152(x72362,x72361,x72363)+E(x72361,f2(a1))+P1(f319(f319(f227(a1),x72361),f2(a1)))+P1(f319(f319(f227(a1),f868(x72363,x72361,x72362)),x72361)) % 219.27/219.53 [7237]P151(x72372,x72371,x72373)+E(x72371,f2(a1))+P1(f319(f319(f227(a1),x72371),f2(a1)))+P1(f319(f319(f227(a1),f874(x72373,x72371,x72372)),x72371)) % 219.27/219.53 [7273]P152(x72732,x72731,x72733)+E(x72731,f2(a1))+P1(f319(f319(f226(a1),f867(x72733,x72731,x72732)),f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x72731)) % 219.27/219.53 [7274]P151(x72742,x72741,x72743)+E(x72741,f2(a1))+P1(f319(f319(f226(a1),f878(x72743,x72741,x72742)),f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x72741)) % 219.27/219.53 [7300]~P4(x73001)+~P14(x73001,x73003)+E(f319(f319(f140(x73001,x73001,f5(x73001)),x73002),f162(x73001,x73002,x73003)),x73003)+~P1(f319(f319(f321(x73001),x73002),f319(f164(x73001),x73003))) % 219.27/219.53 [7347]P151(x73471,x73472,x73473)+~P1(f319(x73471,x73473))+P1(f319(f319(f227(a1),x73472),f2(a1)))+P1(f319(f319(f227(a1),f874(x73473,x73472,x73471)),x73472)) % 219.27/219.53 [7353]~P3(x73531)+~P100(x73531)+E(f319(f319(f224(x73531),f319(f95(x73531),x73532)),f319(f95(x73531),x73533)),f319(f95(x73531),x73532))+~P1(f319(f319(f226(x73531),f319(f95(x73531),x73532)),f319(f95(x73531),x73533))) % 219.27/219.53 [7354]~P3(x73541)+~P100(x73541)+E(f319(f319(f225(x73541),f319(f95(x73541),x73542)),f319(f95(x73541),x73543)),f319(f95(x73541),x73543))+~P1(f319(f319(f226(x73541),f319(f95(x73541),x73542)),f319(f95(x73541),x73543))) % 219.27/219.53 [7368]P152(x73681,x73682,x73683)+~P1(f319(x73681,f2(a1)))+P1(f319(f319(f227(a1),x73682),f2(a1)))+P1(f319(f319(f227(a1),f868(x73683,x73682,x73681)),x73682)) % 219.27/219.53 [7378]P151(x73781,x73782,x73783)+~P1(f319(x73781,x73783))+P1(f319(f319(f226(a1),f878(x73783,x73782,x73781)),f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x73782)) % 219.27/219.53 [7402]P152(x74021,x74022,x74023)+~P1(f319(x74021,f2(a1)))+P1(f319(f319(f226(a1),f867(x74023,x74022,x74021)),f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x74022)) % 219.27/219.53 [7430]~P1(f319(x74301,x74302))+P1(f319(x74301,f2(a925)))+~P1(f319(f319(f227(a925),x74302),x74303))+P1(f319(f319(f227(a925),f523(x74302,x74301,x74303)),x74303)) % 219.27/219.53 [7447]~P4(x74471)+~P14(x74471,x74473)+P14(x74471,f319(f319(f143(x74471),x74472),x74473))+P1(f319(f319(f321(x74471),f732(x74473,x74472,x74471)),f319(f164(x74471),x74473))) % 219.27/219.53 [7448]~P4(x74481)+~P14(x74481,x74483)+P14(x74481,f319(f319(f143(x74481),x74482),x74483))+P1(f319(f319(f321(x74481),f734(x74483,x74482,x74481)),f319(f164(x74481),x74483))) % 219.27/219.53 [7449]~P4(x74491)+~P14(x74491,x74493)+P14(x74491,f319(f319(f143(x74491),x74492),x74493))+P1(f319(f319(f321(x74491),f759(x74492,x74493,x74491)),f319(f164(x74491),x74493))) % 219.27/219.53 [7562]~P4(x75621)+~P6(x75621)+~P1(f319(f319(f227(x75621),x75623),f31(x75621,x75622)))+P1(f319(f319(f321(x75621),f879(x75622,x75623,x75621)),x75622)) % 219.27/219.53 [7715]~P4(x77151)+~P6(x77151)+~P1(f319(f319(f227(x77151),f32(x77151,x77153)),x77152))+P1(f319(f319(f321(x77151),f885(x77152,x77153,x77151)),x77153)) % 219.27/219.53 [7716]~P4(x77161)+~P6(x77161)+~P1(f319(f319(f227(x77161),f32(x77161,x77163)),x77162))+P1(f319(f319(f227(x77161),f885(x77162,x77163,x77161)),x77162)) % 219.27/219.53 [7727]P152(x77272,x77271,x77273)+E(x77271,f2(a1))+P1(f319(f319(f227(a1),x77271),f867(x77273,x77271,x77272)))+P1(f319(f319(f227(a1),f868(x77273,x77271,x77272)),x77271)) % 219.27/219.53 [7728]P151(x77282,x77281,x77283)+E(x77281,f2(a1))+P1(f319(f319(f227(a1),x77281),f878(x77283,x77281,x77282)))+P1(f319(f319(f227(a1),f874(x77283,x77281,x77282)),x77281)) % 219.27/219.53 [7821]P152(x78213,x78211,x78212)+E(x78211,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x78211),f873(x78212,x78211,x78213))),f867(x78212,x78211,x78213)),x78212)+P1(f319(f319(f227(a1),f2(a1)),x78211)) % 219.27/219.53 [7822]P151(x78223,x78221,x78222)+E(x78221,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x78221),f876(x78222,x78221,x78223))),f878(x78222,x78221,x78223)),x78222)+P1(f319(f319(f227(a1),f2(a1)),x78221)) % 219.27/219.53 [7825]~P139(x78251)+~P1(f319(f319(f226(x78251),x78253),f2(x78251)))+P1(f319(f319(f226(x78251),f319(f319(f75(x78251),x78252),x78253)),f2(x78251)))+~P1(f319(f319(f226(x78251),f2(x78251)),x78252)) % 219.27/219.53 [7827]~P139(x78271)+~P1(f319(f319(f226(x78271),x78272),f2(x78271)))+P1(f319(f319(f226(x78271),f319(f319(f75(x78271),x78272),x78273)),f2(x78271)))+~P1(f319(f319(f226(x78271),f2(x78271)),x78273)) % 219.27/219.53 [7828]~P130(x78281)+~P1(f319(f319(f226(x78281),x78283),f2(x78281)))+P1(f319(f319(f226(x78281),f319(f319(f75(x78281),x78282),x78283)),f2(x78281)))+~P1(f319(f319(f226(x78281),f2(x78281)),x78282)) % 219.27/219.53 [7829]~P130(x78291)+~P1(f319(f319(f226(x78291),x78292),f2(x78291)))+P1(f319(f319(f226(x78291),f319(f319(f75(x78291),x78292),x78293)),f2(x78291)))+~P1(f319(f319(f226(x78291),f2(x78291)),x78293)) % 219.27/219.53 [7830]~P75(x78301)+~P1(f319(f319(f226(x78301),x78302),f2(x78301)))+P1(f319(f319(f226(x78301),f319(f319(f283(x78301),x78302),x78303)),f2(x78301)))+~P1(f319(f319(f227(x78301),f2(x78301)),x78303)) % 219.27/219.53 [7831]~P75(x78311)+~P1(f319(f319(f227(x78311),x78313),f2(x78311)))+P1(f319(f319(f226(x78311),f319(f319(f283(x78311),x78312),x78313)),f2(x78311)))+~P1(f319(f319(f226(x78311),f2(x78311)),x78312)) % 219.27/219.53 [7832]~P74(x78321)+~P1(f319(f319(f226(x78321),x78323),f2(x78321)))+P1(f319(f319(f226(x78321),f319(f319(f283(x78321),x78322),x78323)),f2(x78321)))+~P1(f319(f319(f226(x78321),f2(x78321)),x78322)) % 219.27/219.53 [7833]~P74(x78331)+~P1(f319(f319(f226(x78331),x78332),f2(x78331)))+P1(f319(f319(f226(x78331),f319(f319(f283(x78331),x78332),x78333)),f2(x78331)))+~P1(f319(f319(f226(x78331),f2(x78331)),x78333)) % 219.27/219.53 [7835]~P134(x78351)+~P1(f319(f319(f227(x78351),x78353),f2(x78351)))+P1(f319(f319(f227(x78351),f319(f319(f75(x78351),x78352),x78353)),f2(x78351)))+~P1(f319(f319(f227(x78351),f2(x78351)),x78352)) % 219.27/219.53 [7836]~P134(x78361)+~P1(f319(f319(f227(x78361),x78362),f2(x78361)))+P1(f319(f319(f227(x78361),f319(f319(f75(x78361),x78362),x78363)),f2(x78361)))+~P1(f319(f319(f227(x78361),f2(x78361)),x78363)) % 219.27/219.53 [7837]~P75(x78371)+~P1(f319(f319(f227(x78371),x78373),f2(x78371)))+P1(f319(f319(f227(x78371),f319(f319(f283(x78371),x78372),x78373)),f2(x78371)))+~P1(f319(f319(f227(x78371),f2(x78371)),x78372)) % 219.27/219.53 [7838]~P75(x78381)+~P1(f319(f319(f227(x78381),x78382),f2(x78381)))+P1(f319(f319(f227(x78381),f319(f319(f283(x78381),x78382),x78383)),f2(x78381)))+~P1(f319(f319(f227(x78381),f2(x78381)),x78383)) % 219.27/219.53 [7839]~P74(x78391)+~P1(f319(f319(f227(x78391),x78393),f2(x78391)))+P1(f319(f319(f227(x78391),f319(f319(f283(x78391),x78392),x78393)),f2(x78391)))+~P1(f319(f319(f227(x78391),f2(x78391)),x78392)) % 219.27/219.53 [7840]~P74(x78401)+~P1(f319(f319(f227(x78401),x78402),f2(x78401)))+P1(f319(f319(f227(x78401),f319(f319(f283(x78401),x78402),x78403)),f2(x78401)))+~P1(f319(f319(f227(x78401),f2(x78401)),x78403)) % 219.27/219.53 [7855]P151(x78551,x78552,x78553)+~P1(f319(x78551,x78553))+P1(f319(f319(f227(a1),x78552),f878(x78553,x78552,x78551)))+P1(f319(f319(f227(a1),f874(x78553,x78552,x78551)),x78552)) % 219.27/219.53 [7868]P152(x78681,x78682,x78683)+P1(f319(f319(f227(a1),x78682),f867(x78683,x78682,x78681)))+~P1(f319(x78681,f2(a1)))+P1(f319(f319(f227(a1),f868(x78683,x78682,x78681)),x78682)) % 219.27/219.53 [7919]P152(x79192,x79191,x79193)+E(x79191,f2(a1))+~P1(f319(x79192,f873(x79193,x79191,x79192)))+P1(f319(f319(f227(a1),f868(x79193,x79191,x79192)),x79191)) % 219.27/219.53 [7920]P151(x79202,x79201,x79203)+E(x79201,f2(a1))+~P1(f319(x79202,f878(x79203,x79201,x79202)))+P1(f319(f319(f227(a1),f874(x79203,x79201,x79202)),x79201)) % 219.27/219.53 [7930]P151(x79303,x79301,x79302)+~P1(f319(x79303,x79302))+E(f319(f319(f74(a1),f319(f319(f75(a1),x79301),f876(x79302,x79301,x79303))),f878(x79302,x79301,x79303)),x79302)+P1(f319(f319(f227(a1),f2(a1)),x79301)) % 219.27/219.53 [7945]P152(x79453,x79451,x79452)+E(f319(f319(f74(a1),f319(f319(f75(a1),x79451),f873(x79452,x79451,x79453))),f867(x79452,x79451,x79453)),x79452)+~P1(f319(x79453,f2(a1)))+P1(f319(f319(f227(a1),f2(a1)),x79451)) % 219.27/219.53 [7973]~P1(f319(x79731,x79733))+~P1(f319(f55(x79732),x79733))+P1(f319(f319(f321(x79732),f336(x79731,x79733,x79732)),f335(x79731,x79733,x79732)))+P1(f319(x79731,f180(f932(x79732,a923)))) % 219.27/219.53 [7984]P151(x79841,x79842,x79843)+~P1(f319(x79841,x79843))+~P1(f319(x79841,f878(x79843,x79842,x79841)))+P1(f319(f319(f227(a1),f874(x79843,x79842,x79841)),x79842)) % 219.27/219.53 [7990]P152(x79901,x79902,x79903)+~P1(f319(x79901,f873(x79903,x79902,x79901)))+~P1(f319(x79901,f2(a1)))+P1(f319(f319(f227(a1),f868(x79903,x79902,x79901)),x79902)) % 219.27/219.53 [8093]~P130(x80931)+~P1(f319(f319(f226(x80931),f319(f319(f75(x80931),x80933),x80932)),f2(x80931)))+P1(f319(f319(f226(x80931),x80932),f2(x80931)))+P1(f319(f319(f226(x80931),f2(x80931)),x80932)) % 219.27/219.53 [8094]~P130(x80941)+~P1(f319(f319(f226(x80941),f319(f319(f75(x80941),x80942),x80943)),f2(x80941)))+P1(f319(f319(f226(x80941),x80942),f2(x80941)))+P1(f319(f319(f226(x80941),f2(x80941)),x80942)) % 219.27/219.53 [8095]~P74(x80951)+~P1(f319(f319(f226(x80951),f319(f319(f283(x80951),x80953),x80952)),f2(x80951)))+P1(f319(f319(f226(x80951),x80952),f2(x80951)))+P1(f319(f319(f226(x80951),f2(x80951)),x80952)) % 219.27/219.53 [8096]~P74(x80961)+~P1(f319(f319(f226(x80961),f319(f319(f283(x80961),x80962),x80963)),f2(x80961)))+P1(f319(f319(f226(x80961),x80962),f2(x80961)))+P1(f319(f319(f226(x80961),f2(x80961)),x80962)) % 219.27/219.53 [8097]~P74(x80971)+~P1(f319(f319(f227(x80971),f319(f319(f283(x80971),x80973),x80972)),f2(x80971)))+P1(f319(f319(f227(x80971),x80972),f2(x80971)))+P1(f319(f319(f227(x80971),f2(x80971)),x80972)) % 219.27/219.53 [8098]~P74(x80981)+~P1(f319(f319(f227(x80981),f319(f319(f283(x80981),x80982),x80983)),f2(x80981)))+P1(f319(f319(f227(x80981),x80982),f2(x80981)))+P1(f319(f319(f227(x80981),f2(x80981)),x80982)) % 219.27/219.53 [8122]~P130(x81221)+~P1(f319(f319(f226(x81221),f319(f319(f75(x81221),x81222),x81223)),f2(x81221)))+P1(f319(f319(f226(x81221),f2(x81221)),x81222))+P1(f319(f319(f226(x81221),f2(x81221)),x81223)) % 219.27/219.53 [8123]~P74(x81231)+~P1(f319(f319(f226(x81231),f319(f319(f283(x81231),x81232),x81233)),f2(x81231)))+P1(f319(f319(f226(x81231),f2(x81231)),x81232))+P1(f319(f319(f226(x81231),f2(x81231)),x81233)) % 219.27/219.53 [8124]~P74(x81241)+~P1(f319(f319(f227(x81241),f319(f319(f283(x81241),x81242),x81243)),f2(x81241)))+P1(f319(f319(f227(x81241),f2(x81241)),x81242))+P1(f319(f319(f227(x81241),f2(x81241)),x81243)) % 219.27/219.53 [8146]P152(x81462,x81461,x81463)+E(x81461,f2(a1))+P1(f319(f319(f226(a1),f867(x81463,x81461,x81462)),f2(a1)))+P1(f319(f319(f227(a1),f868(x81463,x81461,x81462)),x81461)) % 219.27/219.53 [8147]P151(x81472,x81471,x81473)+E(x81471,f2(a1))+P1(f319(f319(f226(a1),f878(x81473,x81471,x81472)),f2(a1)))+P1(f319(f319(f227(a1),f874(x81473,x81471,x81472)),x81471)) % 219.27/219.53 [8154]~P129(x81541)+~P1(f319(f319(f227(x81541),x81542),f72(x81541)))+P1(f319(f319(f227(x81541),f319(f319(f236(x81541),x81542),f319(a104,x81543))),f72(x81541)))+~P1(f319(f319(f227(x81541),f2(x81541)),x81542)) % 219.27/219.53 [8209]~P4(x82091)+~E(x82093,f105(x82091))+~P14(x82091,f319(f160(x82091),x82093))+E(f319(f134(x82091,x82091,f319(f7(x82091,x82091,x82091),f225(x82091)),x82092),f319(f160(x82091),x82093)),x82092) % 219.27/219.53 [8213]P151(x82131,x82132,x82133)+~P1(f319(x82131,x82133))+P1(f319(f319(f226(a1),f878(x82133,x82132,x82131)),f2(a1)))+P1(f319(f319(f227(a1),f874(x82133,x82132,x82131)),x82132)) % 219.27/219.53 [8220]P152(x82201,x82202,x82203)+~P1(f319(x82201,f2(a1)))+P1(f319(f319(f226(a1),f867(x82203,x82202,x82201)),f2(a1)))+P1(f319(f319(f227(a1),f868(x82203,x82202,x82201)),x82202)) % 219.27/219.53 [8438]P152(x84383,x84381,x84382)+E(x84381,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x84381),f873(x84382,x84381,x84383))),f867(x84382,x84381,x84383)),x84382)+P1(f319(f319(f227(a1),f868(x84382,x84381,x84383)),x84381)) % 219.27/219.53 [8439]P151(x84393,x84391,x84392)+E(x84391,f2(a1))+E(f319(f319(f74(a1),f319(f319(f75(a1),x84391),f876(x84392,x84391,x84393))),f878(x84392,x84391,x84393)),x84392)+P1(f319(f319(f227(a1),f874(x84392,x84391,x84393)),x84391)) % 219.27/219.53 [8475]P151(x84753,x84751,x84752)+~P1(f319(x84753,x84752))+E(f319(f319(f74(a1),f319(f319(f75(a1),x84751),f876(x84752,x84751,x84753))),f878(x84752,x84751,x84753)),x84752)+P1(f319(f319(f227(a1),f874(x84752,x84751,x84753)),x84751)) % 219.27/219.53 [8476]~P78(x84761)+~P79(x84761)+~P42(x84763)+E(f319(f319(f6(a925,x84761),f319(f319(f8(a1,x84761,a925),x84762),f92(a1))),f319(f302(a1,a925,a96),x84763)),f319(f319(f6(a1,x84761),x84762),x84763)) % 219.27/219.53 [8477]~P78(x84771)+~P79(x84771)+~P42(x84773)+E(f319(f319(f9(a925,x84771),f319(f319(f8(a1,x84771,a925),x84772),f92(a1))),f319(f302(a1,a925,a96),x84773)),f319(f319(f9(a1,x84771),x84772),x84773)) % 219.27/219.53 [8486]P152(x84863,x84861,x84862)+E(f319(f319(f74(a1),f319(f319(f75(a1),x84861),f873(x84862,x84861,x84863))),f867(x84862,x84861,x84863)),x84862)+~P1(f319(x84863,f2(a1)))+P1(f319(f319(f227(a1),f868(x84862,x84861,x84863)),x84861)) % 219.27/219.54 [8509]~E(x85092,f2(a925))+~E(f319(f243(a925,a925),x85093),f2(a925))+~E(x85091,f319(f319(f74(a925),f319(f319(f75(a925),f319(f243(a925,a925),x85093)),x85092)),f319(f248(a925,a925),x85093)))+P1(f319(f42(x85091,x85092),x85093)) % 219.27/219.54 [8566]P1(f319(x85661,x85662))+~P1(f319(f319(f321(x85663),f784(x85661,x85662,x85663)),f777(x85661,x85662,x85663)))+~P1(f319(f55(x85663),x85662))+~P1(f319(x85661,f180(f932(x85663,a923)))) % 219.27/219.54 [9201]P1(f319(x92011,x92012))+~P1(f319(f55(x92013),x92012))+~P1(f319(x92011,f319(f319(f301(x92013),f784(x92011,x92012,x92013)),f777(x92011,x92012,x92013))))+~P1(f319(x92011,f180(f932(x92013,a923)))) % 219.27/219.54 [9437]P1(f319(f319(f226(a1),x94371),f2(a1)))+~P1(f319(f319(f227(a1),f319(f319(f74(a1),f319(f319(f75(a1),x94373),x94371)),x94372)),f2(a1)))+~P1(f319(f319(f226(a1),f2(a1)),x94372))+~P1(f319(f319(f227(a1),f2(a1)),x94373)) % 219.27/219.54 [6011]~P102(x60112)+E(x60111,f180(f932(x60112,a923)))+~P1(f319(f55(x60112),x60111))+E(f10(x60112,f319(f319(f301(x60112),x60113),x60111)),f319(f319(f93(x60112),x60113),f10(x60112,x60111))) % 219.27/219.54 [6012]~P102(x60122)+E(x60121,f180(f932(x60122,a923)))+~P1(f319(f55(x60122),x60121))+E(f13(x60122,f319(f319(f301(x60122),x60123),x60121)),f319(f319(f102(x60122),x60123),f13(x60122,x60121))) % 219.27/219.54 [6013]~P4(x60132)+E(x60131,f180(f932(x60132,a923)))+~P1(f319(f55(x60132),x60131))+E(f14(x60132,f319(f319(f301(x60132),x60133),x60131)),f319(f319(f224(x60132),x60133),f14(x60132,x60131))) % 219.27/219.54 [6014]~P4(x60142)+E(x60141,f180(f932(x60142,a923)))+~P1(f319(f55(x60142),x60141))+E(f15(x60142,f319(f319(f301(x60142),x60143),x60141)),f319(f319(f225(x60142),x60143),f15(x60142,x60141))) % 219.27/219.54 [6336]~P130(x63361)+~E(x63363,f2(x63361))+~E(x63362,f2(x63361))+E(f319(f319(f74(x63361),f319(f319(f75(x63361),x63362),x63362)),f319(f319(f75(x63361),x63363),x63363)),f2(x63361)) % 219.27/219.54 [6403]~P101(x64032)+E(x64031,f180(f932(x64032,a923)))+~P1(f319(f55(x64032),x64031))+E(f319(f57(x64032,f75(x64032)),f319(f319(f301(x64032),x64033),x64031)),f319(f319(f75(x64032),x64033),f319(f57(x64032,f75(x64032)),x64031))) % 219.27/219.54 [6529]~P4(x65292)+E(x65291,f180(f932(x65292,a923)))+~P1(f319(f55(x65292),x65291))+E(f11(x65292,f224(x65292),f319(f319(f301(x65292),x65293),x65291)),f319(f319(f224(x65292),x65293),f11(x65292,f224(x65292),x65291))) % 219.27/219.54 [6530]~P4(x65302)+E(x65301,f180(f932(x65302,a923)))+~P1(f319(f55(x65302),x65301))+E(f12(x65302,f225(x65302),f319(f319(f301(x65302),x65303),x65301)),f319(f319(f225(x65302),x65303),f12(x65302,f225(x65302),x65301))) % 219.27/219.54 [7046]~P76(x70461)+~P1(f319(f55(x70461),x70463))+E(f319(f57(x70461,f75(x70461)),f319(f319(f301(x70461),x70462),x70463)),f319(f319(f58(x70461,x70461,f75(x70461)),x70462),x70463))+P1(f319(f319(f321(x70461),x70462),x70463)) % 219.27/219.54 [7128]~E(f319(f319(f74(a1),x71282),f319(f319(f75(a1),x71283),x71281)),x71283)+~P1(f319(f319(f227(a1),f2(a1)),x71283))+P1(f319(f319(f226(a1),f72(a1)),x71281))+~P1(f319(f319(f227(a1),x71282),x71283)) % 219.27/219.54 [7157]~E(f319(f319(f74(a1),x71572),f319(f319(f75(a1),x71573),x71571)),x71573)+P1(f319(f319(f226(a1),x71571),f72(a1)))+~P1(f319(f319(f226(a1),f2(a1)),x71572))+~P1(f319(f319(f227(a1),f2(a1)),x71573)) % 219.27/219.54 [7173]E(x71731,f2(a925))+~P1(f319(f42(x71733,x71731),x71732))+~P1(f319(f319(f227(a925),f2(a925)),x71731))+P1(f319(f319(f227(a925),f319(f248(a925,a925),x71732)),x71731)) % 219.27/219.54 [7204]~P142(x72041)+~P1(f319(f319(f226(x72041),x72042),f2(x72041)))+~P1(f319(f319(f226(x72041),x72043),f2(x72041)))+E(f319(f319(f75(x72041),f319(f69(x72041),x72042)),f319(f69(x72041),x72043)),f319(f69(x72041),f319(f319(f75(x72041),x72042),x72043))) % 219.27/219.54 [7250]~P142(x72501)+~P1(f319(f319(f226(x72501),x72502),f2(x72501)))+E(f319(f319(f75(x72501),f319(f69(x72501),x72502)),f319(f69(x72501),x72503)),f319(f69(x72501),f319(f319(f75(x72501),x72502),x72503)))+~P1(f319(f319(f226(x72501),f2(x72501)),x72503)) % 219.27/219.54 [7251]~P142(x72511)+~P1(f319(f319(f226(x72511),x72513),f2(x72511)))+E(f319(f319(f75(x72511),f319(f69(x72511),x72512)),f319(f69(x72511),x72513)),f319(f69(x72511),f319(f319(f75(x72511),x72512),x72513)))+~P1(f319(f319(f226(x72511),f2(x72511)),x72512)) % 219.27/219.54 [7308]~P142(x73081)+E(f319(f319(f75(x73081),f319(f69(x73081),x73082)),f319(f69(x73081),x73083)),f319(f69(x73081),f319(f319(f75(x73081),x73082),x73083)))+~P1(f319(f319(f226(x73081),f2(x73081)),x73082))+~P1(f319(f319(f226(x73081),f2(x73081)),x73083)) % 219.27/219.54 [7325]~P132(x73251)+~P1(f319(f319(f226(x73251),x73253),f2(x73251)))+~P1(f319(f319(f226(x73251),x73252),f2(x73251)))+P1(f319(f319(f226(x73251),f2(x73251)),f319(f319(f75(x73251),x73252),x73253))) % 219.27/219.54 [7326]~P130(x73261)+~P1(f319(f319(f226(x73261),x73263),f2(x73261)))+~P1(f319(f319(f226(x73261),x73262),f2(x73261)))+P1(f319(f319(f226(x73261),f2(x73261)),f319(f319(f75(x73261),x73262),x73263))) % 219.27/219.54 [7327]~P75(x73271)+~P1(f319(f319(f227(x73271),x73273),f2(x73271)))+~P1(f319(f319(f226(x73271),x73272),f2(x73271)))+P1(f319(f319(f226(x73271),f2(x73271)),f319(f319(f283(x73271),x73272),x73273))) % 219.27/219.54 [7328]~P74(x73281)+~P1(f319(f319(f226(x73281),x73283),f2(x73281)))+~P1(f319(f319(f226(x73281),x73282),f2(x73281)))+P1(f319(f319(f226(x73281),f2(x73281)),f319(f319(f283(x73281),x73282),x73283))) % 219.27/219.54 [7329]~P130(x73291)+~P1(f319(f319(f227(x73291),x73293),f2(x73291)))+~P1(f319(f319(f227(x73291),x73292),f2(x73291)))+P1(f319(f319(f227(x73291),f2(x73291)),f319(f319(f75(x73291),x73292),x73293))) % 219.27/219.54 [7330]~P75(x73301)+~P1(f319(f319(f227(x73301),x73303),f2(x73301)))+~P1(f319(f319(f227(x73301),x73302),f2(x73301)))+P1(f319(f319(f227(x73301),f2(x73301)),f319(f319(f283(x73301),x73302),x73303))) % 219.27/219.54 [7331]~P74(x73311)+~P1(f319(f319(f227(x73311),x73313),f2(x73311)))+~P1(f319(f319(f227(x73311),x73312),f2(x73311)))+P1(f319(f319(f227(x73311),f2(x73311)),f319(f319(f283(x73311),x73312),x73313))) % 219.27/219.54 [7332]~P129(x73321)+~P1(f319(f319(f227(a925),f2(a925)),x73323))+~P1(f319(f319(f227(x73321),f72(x73321)),x73322))+P1(f319(f319(f227(x73321),f72(x73321)),f319(f319(f236(x73321),x73322),x73323))) % 219.27/219.54 [7431]~P132(x74311)+~P1(f319(f319(f226(x74311),f2(x74311)),x74313))+~P1(f319(f319(f226(x74311),f2(x74311)),x74312))+P1(f319(f319(f226(x74311),f2(x74311)),f319(f319(f75(x74311),x74312),x74313))) % 219.27/219.54 [7432]~P139(x74321)+~P1(f319(f319(f226(x74321),f2(x74321)),x74323))+~P1(f319(f319(f226(x74321),f2(x74321)),x74322))+P1(f319(f319(f226(x74321),f2(x74321)),f319(f319(f75(x74321),x74322),x74323))) % 219.27/219.54 [7433]~P130(x74331)+~P1(f319(f319(f226(x74331),f2(x74331)),x74333))+~P1(f319(f319(f226(x74331),f2(x74331)),x74332))+P1(f319(f319(f226(x74331),f2(x74331)),f319(f319(f75(x74331),x74332),x74333))) % 219.27/219.54 [7435]~P75(x74351)+~P1(f319(f319(f227(x74351),f2(x74351)),x74353))+~P1(f319(f319(f226(x74351),f2(x74351)),x74352))+P1(f319(f319(f226(x74351),f2(x74351)),f319(f319(f283(x74351),x74352),x74353))) % 219.27/219.54 [7436]~P74(x74361)+~P1(f319(f319(f226(x74361),f2(x74361)),x74363))+~P1(f319(f319(f226(x74361),f2(x74361)),x74362))+P1(f319(f319(f226(x74361),f2(x74361)),f319(f319(f283(x74361),x74362),x74363))) % 219.27/219.54 [7437]~P129(x74371)+~P1(f319(f319(f227(x74371),f72(x74371)),x74373))+~P1(f319(f319(f227(x74371),f72(x74371)),x74372))+P1(f319(f319(f227(x74371),f72(x74371)),f319(f319(f75(x74371),x74372),x74373))) % 219.27/219.54 [7438]~P134(x74381)+~P1(f319(f319(f227(x74381),f2(x74381)),x74383))+~P1(f319(f319(f227(x74381),f2(x74381)),x74382))+P1(f319(f319(f227(x74381),f2(x74381)),f319(f319(f75(x74381),x74382),x74383))) % 219.27/219.54 [7441]~P93(x74411)+~P1(f319(f319(f227(x74411),f2(x74411)),x74413))+~P1(f319(f319(f227(x74411),f2(x74411)),x74412))+P1(f319(f319(f227(x74411),f2(x74411)),f319(f319(f74(x74411),x74412),x74413))) % 219.27/219.54 [7442]~P75(x74421)+~P1(f319(f319(f227(x74421),f2(x74421)),x74423))+~P1(f319(f319(f227(x74421),f2(x74421)),x74422))+P1(f319(f319(f227(x74421),f2(x74421)),f319(f319(f283(x74421),x74422),x74423))) % 219.27/219.54 [7443]~P74(x74431)+~P1(f319(f319(f227(x74431),f2(x74431)),x74433))+~P1(f319(f319(f227(x74431),f2(x74431)),x74432))+P1(f319(f319(f227(x74431),f2(x74431)),f319(f319(f283(x74431),x74432),x74433))) % 219.27/219.54 [7522]~P102(x75221)+~P1(f319(f55(x75221),x75223))+E(f10(x75221,f319(f319(f301(x75221),x75222),x75223)),x75222)+~E(f319(f319(f23(f932(x75221,a923)),x75223),f319(f319(f301(x75221),x75222),f180(f932(x75221,a923)))),f180(f932(x75221,a923))) % 219.27/219.54 [7523]~P102(x75231)+~P1(f319(f55(x75231),x75233))+E(f13(x75231,f319(f319(f301(x75231),x75232),x75233)),x75232)+~E(f319(f319(f23(f932(x75231,a923)),x75233),f319(f319(f301(x75231),x75232),f180(f932(x75231,a923)))),f180(f932(x75231,a923))) % 219.27/219.54 [7524]~P4(x75241)+~P1(f319(f55(x75241),x75243))+E(f14(x75241,f319(f319(f301(x75241),x75242),x75243)),x75242)+~E(f319(f319(f23(f932(x75241,a923)),x75243),f319(f319(f301(x75241),x75242),f180(f932(x75241,a923)))),f180(f932(x75241,a923))) % 219.27/219.54 [7525]~P4(x75251)+~P1(f319(f55(x75251),x75253))+E(f15(x75251,f319(f319(f301(x75251),x75252),x75253)),x75252)+~E(f319(f319(f23(f932(x75251,a923)),x75253),f319(f319(f301(x75251),x75252),f180(f932(x75251,a923)))),f180(f932(x75251,a923))) % 219.27/219.54 [7527]~P130(x75271)+P1(f319(f319(f226(x75271),x75272),f2(x75271)))+P1(f319(f319(f226(x75271),f2(x75271)),x75273))+~P1(f319(f319(f226(x75271),f2(x75271)),f319(f319(f75(x75271),x75273),x75272))) % 219.27/219.54 [7528]~P130(x75281)+P1(f319(f319(f226(x75281),x75282),f2(x75281)))+P1(f319(f319(f226(x75281),f2(x75281)),x75283))+~P1(f319(f319(f226(x75281),f2(x75281)),f319(f319(f75(x75281),x75282),x75283))) % 219.27/219.54 [7529]~P74(x75291)+P1(f319(f319(f226(x75291),x75292),f2(x75291)))+P1(f319(f319(f226(x75291),f2(x75291)),x75293))+~P1(f319(f319(f226(x75291),f2(x75291)),f319(f319(f283(x75291),x75293),x75292))) % 219.27/219.54 [7530]~P74(x75301)+P1(f319(f319(f226(x75301),x75302),f2(x75301)))+P1(f319(f319(f226(x75301),f2(x75301)),x75303))+~P1(f319(f319(f226(x75301),f2(x75301)),f319(f319(f283(x75301),x75302),x75303))) % 219.27/219.54 [7531]~P130(x75311)+P1(f319(f319(f226(x75311),x75312),f2(x75311)))+P1(f319(f319(f226(x75311),f2(x75311)),x75312))+~P1(f319(f319(f226(x75311),f2(x75311)),f319(f319(f75(x75311),x75313),x75312))) % 219.27/219.54 [7532]~P130(x75321)+P1(f319(f319(f226(x75321),x75322),f2(x75321)))+P1(f319(f319(f226(x75321),f2(x75321)),x75322))+~P1(f319(f319(f226(x75321),f2(x75321)),f319(f319(f75(x75321),x75322),x75323))) % 219.27/219.54 [7533]~P74(x75331)+P1(f319(f319(f226(x75331),x75332),f2(x75331)))+P1(f319(f319(f226(x75331),f2(x75331)),x75332))+~P1(f319(f319(f226(x75331),f2(x75331)),f319(f319(f283(x75331),x75333),x75332))) % 219.27/219.54 [7534]~P74(x75341)+P1(f319(f319(f226(x75341),x75342),f2(x75341)))+P1(f319(f319(f226(x75341),f2(x75341)),x75342))+~P1(f319(f319(f226(x75341),f2(x75341)),f319(f319(f283(x75341),x75342),x75343))) % 219.27/219.54 [7535]~P74(x75351)+P1(f319(f319(f227(x75351),x75352),f2(x75351)))+P1(f319(f319(f227(x75351),f2(x75351)),x75353))+~P1(f319(f319(f227(x75351),f2(x75351)),f319(f319(f283(x75351),x75353),x75352))) % 219.27/219.54 [7536]~P74(x75361)+P1(f319(f319(f227(x75361),x75362),f2(x75361)))+P1(f319(f319(f227(x75361),f2(x75361)),x75363))+~P1(f319(f319(f227(x75361),f2(x75361)),f319(f319(f283(x75361),x75362),x75363))) % 219.27/219.54 [7537]~P74(x75371)+P1(f319(f319(f227(x75371),x75372),f2(x75371)))+P1(f319(f319(f227(x75371),f2(x75371)),x75372))+~P1(f319(f319(f227(x75371),f2(x75371)),f319(f319(f283(x75371),x75373),x75372))) % 219.27/219.54 [7538]~P74(x75381)+P1(f319(f319(f227(x75381),x75382),f2(x75381)))+P1(f319(f319(f227(x75381),f2(x75381)),x75382))+~P1(f319(f319(f227(x75381),f2(x75381)),f319(f319(f283(x75381),x75382),x75383))) % 219.27/219.54 [7622]~E(f319(f319(f93(f932(x76221,a923)),f319(f164(x76221),x76222)),f319(f164(x76221),x76223)),f180(f932(x76221,a923)))+~P1(f319(f129(x76221),x76223))+~P1(f319(f129(x76221),x76222))+P1(f319(f129(x76221),f319(f319(f126(x76221),x76222),x76223))) % 219.27/219.54 [7623]~P4(x76231)+~P1(f319(f55(x76231),x76233))+E(f11(x76231,f224(x76231),f319(f319(f301(x76231),x76232),x76233)),x76232)+~E(f319(f319(f23(f932(x76231,a923)),x76233),f319(f319(f301(x76231),x76232),f180(f932(x76231,a923)))),f180(f932(x76231,a923))) % 219.27/219.54 [7624]~P4(x76241)+~P1(f319(f55(x76241),x76243))+E(f12(x76241,f225(x76241),f319(f319(f301(x76241),x76242),x76243)),x76242)+~E(f319(f319(f23(f932(x76241,a923)),x76243),f319(f319(f301(x76241),x76242),f180(f932(x76241,a923)))),f180(f932(x76241,a923))) % 219.27/219.54 [7637]~P92(x76371)+~P1(f319(f319(f226(x76371),x76372),x76373))+~P1(f319(f319(f226(x76371),f319(f73(x76371),x76372)),x76373))+P1(f319(f319(f226(x76371),f319(f69(x76371),x76372)),x76373)) % 219.27/219.54 [7638]~P126(x76381)+~P1(f319(f319(f227(x76381),x76382),x76383))+~P1(f319(f319(f227(x76381),f319(f73(x76381),x76382)),x76383))+P1(f319(f319(f227(x76381),f319(f69(x76381),x76382)),x76383)) % 219.27/219.54 [7705]~P134(x77051)+P1(f319(f319(f227(x77051),f2(x77051)),x77052))+~P1(f319(f319(f227(x77051),f2(x77051)),x77053))+~P1(f319(f319(f227(x77051),f2(x77051)),f319(f319(f75(x77051),x77053),x77052))) % 219.27/219.54 [7706]~P134(x77061)+P1(f319(f319(f227(x77061),f2(x77061)),x77062))+~P1(f319(f319(f227(x77061),f2(x77061)),x77063))+~P1(f319(f319(f227(x77061),f2(x77061)),f319(f319(f75(x77061),x77062),x77063))) % 219.27/219.54 [8004]E(x80041,x80042)+~P1(f319(f55(x80043),x80041))+~P1(f319(f319(f226(a925),f319(f29(x80043),x80041)),f319(f29(x80043),x80042)))+~P1(f319(f319(f226(f932(x80043,a923)),x80042),x80041)) % 219.27/219.54 [8151]~P1(f319(f319(f227(a1),x81511),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x81512))+~P1(f319(f319(f226(a1),x81512),x81513))+P1(f319(f319(f226(a1),f319(f319(f30(a1),x81511),x81512)),f319(f319(f30(a1),x81511),x81513))) % 219.27/219.54 [8162]~P1(f319(f319(f226(a1),f2(a1)),x81621))+~P1(f319(f319(f227(a1),f2(a1)),x81623))+~P1(f319(f319(f226(a1),x81623),x81622))+P1(f319(f319(f226(a1),f319(f319(f30(a1),x81621),x81622)),f319(f319(f30(a1),x81621),x81623))) % 219.27/219.54 [8298]E(f319(x82981,f443(x82982,x82981,x82983)),x82982)+~P1(f319(f319(f226(a1),x82982),f319(x82981,x82983)))+P1(f319(f319(f227(a925),f444(x82982,x82981,x82983)),x82983))+~P1(f319(f319(f226(a1),f319(x82981,f2(a925))),x82982)) % 219.27/219.54 [8299]E(f319(x82991,f448(x82992,x82991,x82993)),x82992)+~P1(f319(f319(f226(a1),x82992),f319(x82991,x82993)))+P1(f319(f319(f227(a925),f449(x82992,x82991,x82993)),x82993))+~P1(f319(f319(f226(a1),f319(x82991,f2(a925))),x82992)) % 219.27/219.54 [8401]~P1(f319(f55(x84011),x84013))+~P1(f319(f319(f227(a925),f319(f29(x84011),x84012)),f319(f29(x84011),x84013)))+~P1(f319(f319(f226(f932(x84011,a923)),x84012),x84013))+P1(f319(f319(f227(f932(x84011,a923)),x84012),x84013)) % 219.27/219.54 [8428]E(f319(f319(f74(a1),f375(x84283,x84281,x84282)),f376(x84283,x84281,x84282)),x84281)+E(f319(f319(f23(a1),x84281),x84282),x84281)+~P1(f319(f319(f227(a1),f2(a1)),x84282))+~P1(f319(f319(f321(a1),f319(f319(f23(a1),x84281),f72(a1))),x84283)) % 219.27/219.54 [8429]E(f319(f319(f23(a1),f377(x84293,x84291,x84292)),f378(x84293,x84291,x84292)),x84291)+E(f319(f319(f74(a1),x84291),x84292),x84291)+~P1(f319(f319(f227(a1),f2(a1)),x84292))+~P1(f319(f319(f321(a1),f319(f319(f74(a1),x84291),f72(a1))),x84293)) % 219.27/219.54 [8481]~P1(f319(f319(f226(a925),x84813),x84811))+P1(f319(f319(f226(a925),x84811),x84812))+~P1(f319(f319(f226(a925),x84813),x84812))+~P1(f319(f319(f226(a925),f319(f319(f23(a925),x84811),x84813)),f319(f319(f23(a925),x84812),x84813))) % 219.27/219.54 [8482]~P1(f319(f319(f226(a925),x84823),x84821))+P1(f319(f319(f227(a925),x84821),x84822))+~P1(f319(f319(f226(a925),x84823),x84822))+~P1(f319(f319(f227(a925),f319(f319(f23(a925),x84821),x84823)),f319(f319(f23(a925),x84822),x84823))) % 219.27/219.54 [8501]~P4(x85012)+E(x85011,f105(x85012))+~P14(x85012,f319(f160(x85012),x85011))+E(f319(f134(x85012,x85012,f319(f7(x85012,x85012,x85012),f225(x85012)),x85013),f319(f160(x85012),x85011)),f319(f319(f225(x85012),f319(f319(f156(x85012),x85011),f2(a925))),x85013)) % 219.27/219.54 [8549]~P6(x85491)+~P41(x85491,x85491,x85493)+P1(f319(f319(f226(x85491),x85492),f88(x85491,x85493)))+~P1(f319(f319(f226(x85491),x85492),f319(x85493,f319(f319(f102(x85491),x85492),f88(x85491,x85493))))) % 219.27/219.54 [8571]E(f319(f319(f23(a1),x85711),x85712),x85711)+~P1(f319(f319(f227(a1),f2(a1)),x85712))+P1(f319(f319(f321(a1),f375(x85713,x85711,x85712)),x85713))+~P1(f319(f319(f321(a1),f319(f319(f23(a1),x85711),f72(a1))),x85713)) % 219.27/219.54 [8572]E(f319(f319(f74(a1),x85721),x85722),x85721)+~P1(f319(f319(f227(a1),f2(a1)),x85722))+P1(f319(f319(f321(a1),f377(x85723,x85721,x85722)),x85723))+~P1(f319(f319(f321(a1),f319(f319(f74(a1),x85721),f72(a1))),x85723)) % 219.27/219.54 [8644]~P1(f319(f319(f226(a1),x86441),f319(x86442,x86443)))+P1(f319(f319(f227(a925),f444(x86441,x86442,x86443)),x86443))+P1(f319(f319(f226(a925),f443(x86441,x86442,x86443)),x86443))+~P1(f319(f319(f226(a1),f319(x86442,f2(a925))),x86441)) % 219.27/219.54 [8645]~P1(f319(f319(f226(a1),x86451),f319(x86452,x86453)))+P1(f319(f319(f227(a925),f449(x86451,x86452,x86453)),x86453))+P1(f319(f319(f226(a925),f448(x86451,x86452,x86453)),x86453))+~P1(f319(f319(f226(a1),f319(x86452,f2(a925))),x86451)) % 219.27/219.54 [8722]E(f319(f319(f23(a1),x87221),x87222),x87221)+~P1(f319(f319(f227(a1),f2(a1)),x87222))+P1(f319(f319(f321(a1),f376(x87223,x87221,x87222)),f295(a1,f72(a1),x87222)))+~P1(f319(f319(f321(a1),f319(f319(f23(a1),x87221),f72(a1))),x87223)) % 219.27/219.54 [8723]E(f319(f319(f74(a1),x87231),x87232),x87231)+~P1(f319(f319(f227(a1),f2(a1)),x87232))+P1(f319(f319(f321(a1),f378(x87233,x87231,x87232)),f295(a1,f72(a1),x87232)))+~P1(f319(f319(f321(a1),f319(f319(f74(a1),x87231),f72(a1))),x87233)) % 219.27/219.54 [8856]~P129(x88561)+~P1(f319(f319(f227(x88561),x88562),f72(x88561)))+~P1(f319(f319(f227(x88561),f2(x88561)),x88562))+P1(f319(f319(f227(x88561),f319(f319(f75(x88561),x88562),f319(f319(f236(x88561),x88562),x88563))),f319(f319(f236(x88561),x88562),x88563))) % 219.27/219.54 [8949]~P1(f319(x89491,x89492))+P1(f319(x89491,f2(a925)))+~P1(f319(f319(f227(a925),x89492),x89493))+~P1(f319(x89491,f39(a925,f319(a104,f523(x89492,x89491,x89493)),x89493))) % 219.27/219.54 [9103]E(f544(x91031,x91032,x91033),f2(a925))+P1(f319(f319(x91031,x91033),x91032))+P1(f319(f319(x91031,f544(x91031,x91032,x91033)),f39(a925,f543(x91031,x91032,x91033),f544(x91031,x91032,x91033))))+~P1(f319(f307(f931(a925,a925),a211),f319(f319(f244(a925,a925),x91033),x91032))) % 219.27/219.54 [9141]~P26(x91411,x91411,x91412,x91413)+E(f319(f302(x91411,x91411,x91412),x91413),x91413)+~P1(f319(f55(x91411),x91413))+~P1(f319(f319(f226(f932(x91411,a923)),f319(f302(x91411,x91411,x91412),x91413)),x91413)) % 219.27/219.54 [9214]~P6(x92141)+~P41(x92141,x92141,x92143)+P1(f319(f319(f226(x92141),f319(f319(f102(x92141),x92142),f88(x92141,x92143))),f319(x92143,f319(f319(f102(x92141),x92142),f88(x92141,x92143)))))+~P1(f319(f319(f226(x92141),x92142),f319(x92143,f319(f319(f102(x92141),x92142),f88(x92141,x92143))))) % 219.27/219.54 [9361]P1(f319(f319(x93611,x93612),x93613))+P1(f319(f319(f227(a1),f795(x93611,x93613,x93612)),f796(x93611,x93613,x93612)))+P1(f319(f319(x93611,f795(x93611,x93613,x93612)),f319(f319(f74(a1),f796(x93611,x93613,x93612)),f72(a1))))+~P1(f319(f307(f931(a1,a1),a125),f319(f319(f244(a1,a1),x93612),x93613))) % 219.27/219.54 [9378]P1(f319(f319(x93781,x93782),x93783))+~P1(f319(f319(f227(a1),f542(x93781,x93783,x93782)),f2(a1)))+P1(f319(f319(x93781,f319(f73(a1),f541(x93781,x93783,x93782))),f319(f73(a1),f542(x93781,x93783,x93782))))+~P1(f319(f307(f931(a1,a1),a213),f319(f319(f244(a1,a1),x93782),x93783))) % 219.27/219.54 [9570]P1(f319(f319(x95701,x95702),x95703))+P1(f319(f319(x95701,f319(f319(f74(a1),f698(x95701,x95703,x95702)),f72(a1))),f699(x95701,x95703,x95702)))+~P1(f319(f319(f226(a1),f698(x95701,x95703,x95702)),f699(x95701,x95703,x95702)))+~P1(f319(f307(f931(a1,a1),a174),f319(f319(f244(a1,a1),x95702),x95703))) % 219.27/219.54 [10023]~P5(x100232)+~P5(x100231)+~P1(f319(f51(f931(x100231,x100232)),x100233))+P1(f319(f51(x100231),f319(f319(f8(f932(x100232,a923),a923,x100231),f51(x100232)),f319(f319(f8(f932(x100232,f931(x100231,x100232)),f932(x100232,a923),x100231),f319(f8(f931(x100231,x100232),a923,x100232),x100233)),f244(x100231,x100232))))) % 219.27/219.54 [10024]~P5(x100242)+~P5(x100241)+~P1(f319(f50(f931(x100241,x100242)),x100243))+P1(f319(f50(x100241),f319(f319(f8(f932(x100242,a923),a923,x100241),f50(x100242)),f319(f319(f8(f932(x100242,f931(x100241,x100242)),f932(x100242,a923),x100241),f319(f8(f931(x100241,x100242),a923,x100242),x100243)),f244(x100241,x100242))))) % 219.27/219.54 [10124]~P5(x101242)+~P5(x101241)+P1(f319(f51(f931(x101241,x101242)),x101243))+~P1(f319(f51(x101241),f319(f319(f8(f932(x101242,a923),a923,x101241),f51(x101242)),f319(f319(f8(f932(x101242,f931(x101241,x101242)),f932(x101242,a923),x101241),f319(f8(f931(x101241,x101242),a923,x101242),x101243)),f244(x101241,x101242))))) % 219.27/219.54 [10125]~P5(x101252)+~P5(x101251)+P1(f319(f50(f931(x101251,x101252)),x101253))+~P1(f319(f50(x101251),f319(f319(f8(f932(x101252,a923),a923,x101251),f50(x101252)),f319(f319(f8(f932(x101252,f931(x101251,x101252)),f932(x101252,a923),x101251),f319(f8(f931(x101251,x101252),a923,x101252),x101253)),f244(x101251,x101252))))) % 219.27/219.54 [10302]E(f319(x103021,f443(x103022,x103021,x103023)),x103022)+~P1(f319(f319(f226(a1),x103022),f319(x103021,x103023)))+~P1(f319(f319(f226(a1),f319(f69(a1),f319(f319(f23(a1),f319(x103021,f319(f319(f74(a925),f444(x103022,x103021,x103023)),f72(a925)))),f319(x103021,f444(x103022,x103021,x103023))))),f72(a1)))+~P1(f319(f319(f226(a1),f319(x103021,f2(a925))),x103022)) % 219.27/219.54 [10303]E(f319(x103031,f448(x103032,x103031,x103033)),x103032)+~P1(f319(f319(f226(a1),x103032),f319(x103031,x103033)))+~P1(f319(f319(f226(a1),f319(f69(a1),f319(f319(f23(a1),f319(x103031,f319(f319(f74(a925),f449(x103032,x103031,x103033)),f72(a925)))),f319(x103031,f449(x103032,x103031,x103033))))),f72(a1)))+~P1(f319(f319(f226(a1),f319(x103031,f2(a925))),x103032)) % 219.27/219.54 [10306]~P1(f319(f319(f226(a1),x103061),f319(x103062,x103063)))+~P1(f319(f319(f226(a1),f319(f69(a1),f319(f319(f23(a1),f319(x103062,f319(f319(f74(a925),f444(x103061,x103062,x103063)),f72(a925)))),f319(x103062,f444(x103061,x103062,x103063))))),f72(a1)))+P1(f319(f319(f226(a925),f443(x103061,x103062,x103063)),x103063))+~P1(f319(f319(f226(a1),f319(x103062,f2(a925))),x103061)) % 219.27/219.54 [10307]~P1(f319(f319(f226(a1),x103071),f319(x103072,x103073)))+~P1(f319(f319(f226(a1),f319(f69(a1),f319(f319(f23(a1),f319(x103072,f319(f319(f74(a925),f449(x103071,x103072,x103073)),f72(a925)))),f319(x103072,f449(x103071,x103072,x103073))))),f72(a1)))+P1(f319(f319(f226(a925),f448(x103071,x103072,x103073)),x103073))+~P1(f319(f319(f226(a1),f319(x103072,f2(a925))),x103071)) % 219.27/219.54 [10365]E(x103651,x103652)+~E(f319(f134(f926(x103653),f926(x103653),f126(x103653),f105(x103653)),x103651),f319(f134(f926(x103653),f926(x103653),f126(x103653),f105(x103653)),x103652))+~E(f319(f181(f926(f926(x103653))),x103651),f319(f181(f926(f926(x103653))),x103652))+~P1(f319(f319(f249(f926(x103653),f926(x103653),a923),f319(f319(f7(f926(x103653),f932(f926(x103653),a925),f932(f926(x103653),a923)),f319(f319(f8(f932(a925,a923),f932(f932(f926(x103653),a925),f932(f926(x103653),a923)),f926(x103653)),f8(a925,a923,f926(x103653))),f319(f319(f8(a925,f932(a925,a923),f926(x103653)),a316),f181(f926(x103653))))),f181(f926(x103653)))),f724(x103652,x103651,x103653))) % 219.27/219.54 [10366]E(x103661,x103662)+~E(f319(f134(f926(x103663),f926(x103663),f126(x103663),f105(x103663)),x103661),f319(f134(f926(x103663),f926(x103663),f126(x103663),f105(x103663)),x103662))+~E(f319(f181(f926(f926(x103663))),x103661),f319(f181(f926(f926(x103663))),x103662))+~P1(f319(f319(f249(f926(x103663),f926(x103663),a923),f319(f319(f7(f926(x103663),f932(f926(x103663),a925),f932(f926(x103663),a923)),f319(f319(f8(f932(a925,a923),f932(f932(f926(x103663),a925),f932(f926(x103663),a923)),f926(x103663)),f8(a925,a923,f926(x103663))),f319(f319(f8(a925,f932(a925,a923),f926(x103663)),a316),f181(f926(x103663))))),f181(f926(x103663)))),f725(x103661,x103662,x103663))) % 219.27/219.54 [7034]~E(f72(a925),f2(a925))+~P1(f319(f55(x70341),x70343))+~P1(f319(f55(x70341),x70342))+E(f319(f319(f74(a925),f319(f29(x70341),x70342)),f319(f29(x70341),x70343)),f319(f29(x70341),f319(f319(f102(f932(x70341,a923)),x70342),x70343))) % 219.27/219.54 [7450]~P108(x74501)+~P1(f319(f55(x74501),x74502))+~P1(f319(f319(f321(x74501),x74503),x74502))+P1(f319(f319(f226(x74501),f319(f57(x74501,f93(x74501)),x74502)),x74503)) % 219.27/219.54 [7451]~P4(x74511)+~P1(f319(f55(x74511),x74512))+~P1(f319(f319(f321(x74511),x74513),x74512))+P1(f319(f319(f226(x74511),f319(f57(x74511,f224(x74511)),x74512)),x74513)) % 219.27/219.54 [7699]~P1(f319(f55(x76991),x76993))+~P1(f319(f55(x76991),x76992))+~E(f319(f319(f93(f932(x76991,a923)),x76992),x76993),f180(f932(x76991,a923)))+E(f319(f319(f74(a925),f319(f29(x76991),x76992)),f319(f29(x76991),x76993)),f319(f29(x76991),f319(f319(f102(f932(x76991,a923)),x76992),x76993))) % 219.27/219.54 [8487]~P38(x84871,x84873)+~P38(x84871,x84872)+~E(f319(f319(f93(f932(x84871,a923)),f319(f256(x84871,x84871),x84872)),f319(f276(x84871,x84871),x84873)),f180(f932(x84871,a923)))+P38(x84871,f319(f319(f102(f932(f931(x84871,x84871),a923)),x84872),x84873)) % 219.27/219.54 [8583]E(x85831,f319(f319(f30(a925),x85832),x85833))+~P1(f319(f319(f227(a925),f2(a925)),x85833))+~P1(f319(f319(f227(a925),x85832),f319(f319(f75(a925),x85833),f319(a104,x85831))))+~P1(f319(f319(f226(a925),f319(f319(f75(a925),x85833),x85831)),x85832)) % 219.27/219.54 [8720]~P1(f319(f55(x87201),x87202))+~P1(f319(f55(x87201),x87203))+E(f319(f319(f74(a925),f319(f29(x87201),x87202)),f319(f29(x87201),x87203)),f319(f29(x87201),f319(f319(f102(f932(x87201,a923)),x87202),x87203)))+P1(f319(f319(f321(x87201),f423(x87203,x87202,x87201)),f319(f319(f93(f932(x87201,a923)),x87202),x87203))) % 219.27/219.54 [9115]~P130(x91152)+~E(x91151,f2(x91152))+~E(x91153,f2(x91152))+~P1(f319(f319(f227(x91152),f2(x91152)),f319(f319(f74(x91152),f319(f319(f75(x91152),x91153),x91153)),f319(f319(f75(x91152),x91151),x91151)))) % 219.27/219.54 [9652]~P38(x96521,x96523)+~P38(x96521,x96522)+P38(x96521,f319(f319(f102(f932(f931(x96521,x96521),a923)),x96522),x96523))+~P1(f319(f319(f226(f932(f931(x96521,x96521),a923)),f319(f319(f281(x96521,x96521,x96521),x96522),x96523)),x96522)) % 219.27/219.54 [9783]~P1(f319(x97831,x97833))+~P1(f319(f55(x97832),x97833))+P1(f319(x97831,f180(f932(x97832,a923))))+~P1(f319(x97831,f319(f319(f23(f932(x97832,a923)),f335(x97831,x97833,x97832)),f319(f319(f301(x97832),f336(x97831,x97833,x97832)),f180(f932(x97832,a923)))))) % 219.27/219.54 [8896]~P1(f319(f319(f227(a1),f2(a1)),x88963))+P1(f319(f319(f226(a1),f2(a1)),x88961))+~P1(f319(f319(f227(a1),x88962),x88963))+~P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),f319(f319(f75(a1),x88963),x88961)),x88962))) % 219.27/219.54 [8920]~P102(x89201)+~P1(f319(f55(x89201),x89202))+E(f319(f319(f23(f932(x89201,a923)),x89202),f319(f319(f301(x89201),x89203),f180(f932(x89201,a923)))),f180(f932(x89201,a923)))+E(f319(f319(f93(x89201),x89203),f10(x89201,f319(f319(f23(f932(x89201,a923)),x89202),f319(f319(f301(x89201),x89203),f180(f932(x89201,a923)))))),f10(x89201,f319(f319(f301(x89201),x89203),x89202))) % 219.27/219.54 [8921]~P102(x89211)+~P1(f319(f55(x89211),x89212))+E(f319(f319(f23(f932(x89211,a923)),x89212),f319(f319(f301(x89211),x89213),f180(f932(x89211,a923)))),f180(f932(x89211,a923)))+E(f319(f319(f102(x89211),x89213),f13(x89211,f319(f319(f23(f932(x89211,a923)),x89212),f319(f319(f301(x89211),x89213),f180(f932(x89211,a923)))))),f13(x89211,f319(f319(f301(x89211),x89213),x89212))) % 219.27/219.54 [8922]~P4(x89221)+~P1(f319(f55(x89221),x89222))+E(f319(f319(f23(f932(x89221,a923)),x89222),f319(f319(f301(x89221),x89223),f180(f932(x89221,a923)))),f180(f932(x89221,a923)))+E(f319(f319(f224(x89221),x89223),f14(x89221,f319(f319(f23(f932(x89221,a923)),x89222),f319(f319(f301(x89221),x89223),f180(f932(x89221,a923)))))),f14(x89221,f319(f319(f301(x89221),x89223),x89222))) % 219.27/219.54 [8923]~P4(x89231)+~P1(f319(f55(x89231),x89232))+E(f319(f319(f23(f932(x89231,a923)),x89232),f319(f319(f301(x89231),x89233),f180(f932(x89231,a923)))),f180(f932(x89231,a923)))+E(f319(f319(f225(x89231),x89233),f15(x89231,f319(f319(f23(f932(x89231,a923)),x89232),f319(f319(f301(x89231),x89233),f180(f932(x89231,a923)))))),f15(x89231,f319(f319(f301(x89231),x89233),x89232))) % 219.27/219.54 [8996]~P4(x89961)+~P1(f319(f55(x89961),x89962))+E(f319(f319(f23(f932(x89961,a923)),x89962),f319(f319(f301(x89961),x89963),f180(f932(x89961,a923)))),f180(f932(x89961,a923)))+E(f319(f319(f224(x89961),x89963),f11(x89961,f224(x89961),f319(f319(f23(f932(x89961,a923)),x89962),f319(f319(f301(x89961),x89963),f180(f932(x89961,a923)))))),f11(x89961,f224(x89961),f319(f319(f301(x89961),x89963),x89962))) % 219.27/219.54 [8997]~P4(x89971)+~P1(f319(f55(x89971),x89972))+E(f319(f319(f23(f932(x89971,a923)),x89972),f319(f319(f301(x89971),x89973),f180(f932(x89971,a923)))),f180(f932(x89971,a923)))+E(f319(f319(f225(x89971),x89973),f12(x89971,f225(x89971),f319(f319(f23(f932(x89971,a923)),x89972),f319(f319(f301(x89971),x89973),f180(f932(x89971,a923)))))),f12(x89971,f225(x89971),f319(f319(f301(x89971),x89973),x89972))) % 219.27/219.54 [9383]~P6(x93831)+~P41(x93831,x93831,x93832)+P1(f319(f319(f226(x93831),f87(x93831,x93832)),x93833))+~P1(f319(f319(f226(x93831),f319(x93832,f319(f319(f93(x93831),f87(x93831,x93832)),x93833))),x93833)) % 219.27/219.54 [9589]E(x95891,x95892)+~E(f319(f134(f926(x95893),f926(x95893),f126(x95893),f105(x95893)),x95891),f319(f134(f926(x95893),f926(x95893),f126(x95893),f105(x95893)),x95892))+~E(f319(f181(f926(f926(x95893))),x95891),f319(f181(f926(f926(x95893))),x95892))+P1(f319(f319(f321(f931(f926(x95893),f926(x95893))),f724(x95892,x95891,x95893)),f319(f164(f931(f926(x95893),f926(x95893))),f319(f319(f173(f926(x95893),f926(x95893)),x95891),x95892)))) % 219.27/219.54 [9590]E(x95901,x95902)+~E(f319(f134(f926(x95903),f926(x95903),f126(x95903),f105(x95903)),x95901),f319(f134(f926(x95903),f926(x95903),f126(x95903),f105(x95903)),x95902))+~E(f319(f181(f926(f926(x95903))),x95901),f319(f181(f926(f926(x95903))),x95902))+P1(f319(f319(f321(f931(f926(x95903),f926(x95903))),f725(x95901,x95902,x95903)),f319(f164(f931(f926(x95903),f926(x95903))),f319(f319(f173(f926(x95903),f926(x95903)),x95902),x95901)))) % 219.27/219.54 [10471]~P106(x104712)+E(x104711,f180(f932(x104712,a923)))+~P1(f319(f55(x104712),x104711))+E(f10(x104712,f319(f254(x104712),f319(f319(f8(f932(x104712,a923),a923,x104712),f81(x104712)),f319(f319(f7(x104712,f932(x104712,a923),f932(x104712,a923)),f319(f319(f8(f932(x104712,f932(a923,a923)),f932(f932(x104712,a923),f932(x104712,a923)),x104712),f18(x104712,a923,a923)),f319(f319(f8(f932(x104712,a923),f932(x104712,f932(a923,a923)),x104712),f319(f8(a923,f932(a923,a923),x104712),a317)),f319(f319(f7(x104712,f932(x104712,x104712),f932(x104712,a923)),f319(f319(f8(f932(x104712,a923),f932(f932(x104712,x104712),f932(x104712,a923)),x104712),f8(x104712,a923,x104712)),a316)),f319(f102(x104712),x104713))))),f319(f319(f7(x104712,f932(x104712,a923),a923),f321(x104712)),x104711))))),f319(f319(f102(x104712),x104713),f10(x104712,x104711))) % 219.27/219.54 [10472]~P106(x104722)+E(x104721,f180(f932(x104722,a923)))+~P1(f319(f55(x104722),x104721))+E(f13(x104722,f319(f254(x104722),f319(f319(f8(f932(x104722,a923),a923,x104722),f81(x104722)),f319(f319(f7(x104722,f932(x104722,a923),f932(x104722,a923)),f319(f319(f8(f932(x104722,f932(a923,a923)),f932(f932(x104722,a923),f932(x104722,a923)),x104722),f18(x104722,a923,a923)),f319(f319(f8(f932(x104722,a923),f932(x104722,f932(a923,a923)),x104722),f319(f8(a923,f932(a923,a923),x104722),a317)),f319(f319(f7(x104722,f932(x104722,x104722),f932(x104722,a923)),f319(f319(f8(f932(x104722,a923),f932(f932(x104722,x104722),f932(x104722,a923)),x104722),f8(x104722,a923,x104722)),a316)),f319(f93(x104722),x104723))))),f319(f319(f7(x104722,f932(x104722,a923),a923),f321(x104722)),x104721))))),f319(f319(f93(x104722),x104723),f13(x104722,x104721))) % 219.27/219.54 [10473]~P85(x104732)+E(x104731,f180(f932(x104732,a923)))+~P1(f319(f55(x104732),x104731))+E(f14(x104732,f319(f254(x104732),f319(f319(f8(f932(x104732,a923),a923,x104732),f81(x104732)),f319(f319(f7(x104732,f932(x104732,a923),f932(x104732,a923)),f319(f319(f8(f932(x104732,f932(a923,a923)),f932(f932(x104732,a923),f932(x104732,a923)),x104732),f18(x104732,a923,a923)),f319(f319(f8(f932(x104732,a923),f932(x104732,f932(a923,a923)),x104732),f319(f8(a923,f932(a923,a923),x104732),a317)),f319(f319(f7(x104732,f932(x104732,x104732),f932(x104732,a923)),f319(f319(f8(f932(x104732,a923),f932(f932(x104732,x104732),f932(x104732,a923)),x104732),f8(x104732,a923,x104732)),a316)),f319(f74(x104732),x104733))))),f319(f319(f7(x104732,f932(x104732,a923),a923),f321(x104732)),x104731))))),f319(f319(f74(x104732),x104733),f14(x104732,x104731))) % 219.27/219.54 [10474]~P85(x104742)+E(x104741,f180(f932(x104742,a923)))+~P1(f319(f55(x104742),x104741))+E(f15(x104742,f319(f254(x104742),f319(f319(f8(f932(x104742,a923),a923,x104742),f81(x104742)),f319(f319(f7(x104742,f932(x104742,a923),f932(x104742,a923)),f319(f319(f8(f932(x104742,f932(a923,a923)),f932(f932(x104742,a923),f932(x104742,a923)),x104742),f18(x104742,a923,a923)),f319(f319(f8(f932(x104742,a923),f932(x104742,f932(a923,a923)),x104742),f319(f8(a923,f932(a923,a923),x104742),a317)),f319(f319(f7(x104742,f932(x104742,x104742),f932(x104742,a923)),f319(f319(f8(f932(x104742,a923),f932(f932(x104742,x104742),f932(x104742,a923)),x104742),f8(x104742,a923,x104742)),a316)),f319(f74(x104742),x104743))))),f319(f319(f7(x104742,f932(x104742,a923),a923),f321(x104742)),x104741))))),f319(f319(f74(x104742),x104743),f15(x104742,x104741))) % 219.27/219.54 [10475]~P4(x104752)+E(x104751,f180(f932(x104752,a923)))+~P1(f319(f55(x104752),x104751))+E(f12(x104752,f225(x104752),f319(f254(x104752),f319(f319(f8(f932(x104752,a923),a923,x104752),f81(x104752)),f319(f319(f7(x104752,f932(x104752,a923),f932(x104752,a923)),f319(f319(f8(f932(x104752,f932(a923,a923)),f932(f932(x104752,a923),f932(x104752,a923)),x104752),f18(x104752,a923,a923)),f319(f319(f8(f932(x104752,a923),f932(x104752,f932(a923,a923)),x104752),f319(f8(a923,f932(a923,a923),x104752),a317)),f319(f319(f7(x104752,f932(x104752,x104752),f932(x104752,a923)),f319(f319(f8(f932(x104752,a923),f932(f932(x104752,x104752),f932(x104752,a923)),x104752),f8(x104752,a923,x104752)),a316)),f319(f224(x104752),x104753))))),f319(f319(f7(x104752,f932(x104752,a923),a923),f321(x104752)),x104751))))),f319(f319(f224(x104752),x104753),f12(x104752,f225(x104752),x104751))) % 219.27/219.54 [10476]~P4(x104762)+E(x104761,f180(f932(x104762,a923)))+~P1(f319(f55(x104762),x104761))+E(f11(x104762,f224(x104762),f319(f254(x104762),f319(f319(f8(f932(x104762,a923),a923,x104762),f81(x104762)),f319(f319(f7(x104762,f932(x104762,a923),f932(x104762,a923)),f319(f319(f8(f932(x104762,f932(a923,a923)),f932(f932(x104762,a923),f932(x104762,a923)),x104762),f18(x104762,a923,a923)),f319(f319(f8(f932(x104762,a923),f932(x104762,f932(a923,a923)),x104762),f319(f8(a923,f932(a923,a923),x104762),a317)),f319(f319(f7(x104762,f932(x104762,x104762),f932(x104762,a923)),f319(f319(f8(f932(x104762,a923),f932(f932(x104762,x104762),f932(x104762,a923)),x104762),f8(x104762,a923,x104762)),a316)),f319(f225(x104762),x104763))))),f319(f319(f7(x104762,f932(x104762,a923),a923),f321(x104762)),x104761))))),f319(f319(f225(x104762),x104763),f11(x104762,f224(x104762),x104761))) % 219.27/219.54 [10188]~P126(x101881)+~E(x101883,f2(x101881))+~E(x101882,f2(x101881))+E(f319(f319(f74(x101881),f319(f319(f236(x101881),x101882),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x101881),x101883),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f2(x101881)) % 219.27/219.54 [10346]~P129(x103461)+~P1(f319(f319(f226(x103461),f2(x103461)),x103463))+P1(f319(f319(f226(x103461),x103462),x103463))+~P1(f319(f319(f226(x103461),f319(f319(f236(x103461),x103462),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x103461),x103463),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))))) % 219.27/219.54 [10402]~P126(x104022)+~E(x104021,f2(x104022))+~E(x104023,f2(x104022))+~P1(f319(f319(f227(x104022),f2(x104022)),f319(f319(f74(x104022),f319(f319(f236(x104022),x104023),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))),f319(f319(f236(x104022),x104021),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))))) % 219.27/219.54 [6212]~P4(x62121)+~P113(x62122)+~P51(x62121,x62122,x62123)+P26(x62121,x62122,x62123,x62124) % 219.27/219.54 [6917]~P8(x69173,x69172)+~P1(f319(x69171,x69174))+~P1(f319(f319(f321(x69173),x69174),f262(x69173,x69172)))+P1(f319(x69171,f840(x69171,x69172,x69173))) % 219.27/219.54 [8831]P27(x88311,x88312,f415(x88313,x88312,x88314,x88311),x88314,x88313)+~E(f319(f29(x88311),x88314),f319(f29(x88312),x88313))+~P1(f319(f55(x88312),x88313))+~P1(f319(f55(x88311),x88314)) % 219.27/219.54 [9552]E(x95521,x95522)+~E(f680(x95521,x95522,x95524,x95523),f683(x95521,x95522,x95524,x95523))+P1(f319(f319(f321(f931(f926(x95523),f926(x95523))),f319(f319(f244(f926(x95523),f926(x95523)),x95522),x95521)),f139(x95523,x95524)))+P1(f319(f319(f321(f931(f926(x95523),f926(x95523))),f319(f319(f244(f926(x95523),f926(x95523)),x95521),x95522)),f139(x95523,x95524))) % 219.27/219.54 [5056]~P72(x50562)+~E(x50564,f2(x50562))+~E(x50561,f2(x50562))+E(x50561,f319(f319(f283(x50562),x50563),x50564)) % 219.27/219.54 [5057]~P72(x50571)+~E(x50573,f2(x50571))+~E(x50574,f2(x50571))+E(f319(f319(f283(x50571),x50572),x50573),x50574) % 219.27/219.54 [5174]~P72(x51742)+E(x51741,f2(x51742))+~E(x51743,f2(x51742))+~E(x51741,f319(f319(f283(x51742),x51744),x51743)) % 219.27/219.54 [5175]~P72(x51752)+E(x51751,f2(x51752))+~E(x51753,f2(x51752))+~E(f319(f319(f283(x51752),x51754),x51753),x51751) % 219.27/219.54 [5362]~P124(x53622)+E(x53621,f2(x53622))+~E(f319(f319(f283(x53622),x53623),x53621),x53624)+E(x53623,f319(f319(f75(x53622),x53624),x53621)) % 219.27/219.54 [5364]~P124(x53642)+E(x53641,f2(x53642))+~E(f319(f319(f75(x53642),x53643),x53641),x53644)+E(x53643,f319(f319(f283(x53642),x53644),x53641)) % 219.27/219.54 [5365]~P72(x53652)+E(x53651,f2(x53652))+~E(f319(f319(f283(x53652),x53653),x53651),x53654)+E(x53653,f319(f319(f75(x53652),x53654),x53651)) % 219.27/219.54 [5366]~P72(x53662)+E(x53661,f2(x53662))+~E(f319(f319(f75(x53662),x53663),x53661),x53664)+E(x53663,f319(f319(f283(x53662),x53664),x53661)) % 219.27/219.54 [5367]~P124(x53672)+E(x53671,f2(x53672))+~E(x53673,f319(f319(f283(x53672),x53674),x53671))+E(f319(f319(f75(x53672),x53673),x53671),x53674) % 219.27/219.54 [5369]~P124(x53692)+E(x53691,f2(x53692))+~E(x53693,f319(f319(f75(x53692),x53694),x53691))+E(f319(f319(f283(x53692),x53693),x53691),x53694) % 219.27/219.54 [5370]~P72(x53702)+E(x53701,f2(x53702))+~E(x53703,f319(f319(f283(x53702),x53704),x53701))+E(f319(f319(f75(x53702),x53703),x53701),x53704) % 219.27/219.54 [5371]~P72(x53712)+E(x53711,f2(x53712))+~E(x53713,f319(f319(f75(x53712),x53714),x53711))+E(f319(f319(f283(x53712),x53713),x53711),x53714) % 219.27/219.54 [5395]~P72(x53952)+~E(x53951,f2(x53952))+~E(f319(f319(f75(x53952),x53951),x53954),x53953)+E(x53951,f319(f319(f283(x53952),x53953),x53954)) % 219.27/219.54 [5396]~P72(x53961)+~E(x53964,f2(x53961))+~E(x53962,f319(f319(f75(x53961),x53964),x53963))+E(f319(f319(f283(x53961),x53962),x53963),x53964) % 219.27/219.54 [5470]~E(x54703,x54704)+~E(x54702,x54703)+~P113(x54701)+E(f295(x54701,x54702,x54703),f319(f319(f301(x54701),x54704),f180(f932(x54701,a923)))) % 219.27/219.54 [5669]~E(f106(x56692,x56691),x56693)+~E(f136(x56692,x56691),x56694)+E(x56691,f105(x56692))+E(f319(f319(f126(x56692),x56693),f319(f319(f143(x56692),x56694),f105(x56692))),x56691) % 219.27/219.54 [6302]~P129(x63023)+E(x63021,x63022)+~E(f319(f319(f236(x63023),x63024),x63021),f319(f319(f236(x63023),x63024),x63022))+~P1(f319(f319(f227(x63023),f72(x63023)),x63024)) % 219.27/219.54 [6303]E(x63031,x63032)+~E(f319(f319(f301(x63033),x63034),x63031),f319(f319(f301(x63033),x63034),x63032))+P1(f319(f319(f321(x63033),x63034),x63032))+P1(f319(f319(f321(x63033),x63034),x63031)) % 219.27/219.54 [6345]E(f319(x63451,x63452),f72(a925))+~E(f319(f319(f9(x63453,a925),x63451),x63454),f72(a925))+~P1(f319(f55(x63453),x63454))+~P1(f319(f319(f321(x63453),x63452),x63454)) % 219.27/219.54 [6346]E(f319(x63461,x63462),f2(a925))+~E(f319(f319(f6(x63463,a925),x63461),x63464),f2(a925))+~P1(f319(f55(x63463),x63464))+~P1(f319(f319(f321(x63463),x63462),x63464)) % 219.27/219.54 [6564]~P113(x65641)+~P1(f319(f319(f226(x65641),x65644),x65643))+P1(f319(f319(f226(x65641),x65642),x65643))+~P1(f319(f319(f226(x65641),x65642),x65644)) % 219.27/219.54 [6565]~P2(x65651)+~P1(f319(f319(f226(x65651),x65652),x65654))+P1(f319(f319(f226(x65651),x65652),x65653))+~P1(f319(f319(f226(x65651),x65654),x65653)) % 219.27/219.54 [6566]~P113(x65661)+~P1(f319(f319(f227(x65661),x65664),x65663))+P1(f319(f319(f227(x65661),x65662),x65663))+~P1(f319(f319(f226(x65661),x65662),x65664)) % 219.27/219.54 [6567]~P113(x65671)+~P1(f319(f319(f227(x65671),x65672),x65674))+P1(f319(f319(f227(x65671),x65672),x65673))+~P1(f319(f319(f226(x65671),x65674),x65673)) % 219.27/219.54 [6568]~P113(x65681)+~P1(f319(f319(f227(x65681),x65684),x65683))+P1(f319(f319(f227(x65681),x65682),x65683))+~P1(f319(f319(f227(x65681),x65682),x65684)) % 219.27/219.54 [6569]~P2(x65691)+~P1(f319(f319(f227(x65691),x65692),x65694))+P1(f319(f319(f227(x65691),x65692),x65693))+~P1(f319(f319(f226(x65691),x65694),x65693)) % 219.27/219.54 [6570]~P2(x65701)+~P1(f319(f319(f227(x65701),x65704),x65703))+P1(f319(f319(f227(x65701),x65702),x65703))+~P1(f319(f319(f226(x65701),x65702),x65704)) % 219.27/219.54 [6571]~P2(x65711)+~P1(f319(f319(f227(x65711),x65712),x65714))+P1(f319(f319(f227(x65711),x65712),x65713))+~P1(f319(f319(f227(x65711),x65714),x65713)) % 219.27/219.54 [6654]~P36(x66544,x66543,x66542)+E(x66541,f775(x66542,x66543,x66544))+~P1(f319(x66543,x66541))+~P1(f319(f319(f321(x66544),x66541),f319(f164(x66544),x66542))) % 219.27/219.54 [6655]~P36(x66554,x66553,x66552)+E(x66551,f787(x66552,x66553,x66554))+~P1(f319(x66553,x66551))+~P1(f319(f319(f321(x66554),x66551),f319(f164(x66554),x66552))) % 219.27/219.54 [6807]~P6(x68071)+~P1(f319(f319(f226(x68071),x68072),f32(x68071,x68074)))+P1(f319(f319(f226(x68071),x68072),x68073))+~P1(f319(f319(f321(x68071),x68073),x68074)) % 219.27/219.54 [6956]~P4(x69561)+~P14(x69561,f319(f319(f143(x69561),x69562),x69564))+~P1(f319(f319(f321(x69561),x69563),f319(f164(x69561),x69564)))+P1(f319(f319(f226(x69561),x69562),x69563)) % 219.27/219.54 [7044]~P6(x70441)+~P1(f319(f319(f226(x70441),f31(x70441,x70444)),x70443))+P1(f319(f319(f226(x70441),x70442),x70443))+~P1(f319(f319(f321(x70441),x70442),x70444)) % 219.27/219.54 [7453]~P4(x74531)+E(f319(f319(f102(f932(x74531,a923)),f319(f294(x74531,x74532),x74533)),f319(f294(x74531,x74533),x74534)),f319(f294(x74531,x74532),x74534))+~P1(f319(f319(f226(x74531),x74533),x74534))+~P1(f319(f319(f226(x74531),x74532),x74533)) % 219.27/219.54 [7497]P36(x74971,x74972,x74973)+~E(f789(x74973,x74972,x74971,x74974),x74974)+~P1(f319(x74972,x74974))+~P1(f319(f319(f321(x74971),x74974),f319(f164(x74971),x74973))) % 219.27/219.54 [7498]P36(x74981,x74982,x74983)+~E(f799(x74983,x74982,x74981,x74984),x74984)+~P1(f319(x74982,x74984))+~P1(f319(f319(f321(x74981),x74984),f319(f164(x74981),x74983))) % 219.27/219.54 [7572]~P4(x75721)+E(f319(f319(f102(f932(x75721,a923)),f319(f294(x75721,x75722),x75723)),f295(x75721,x75723,x75724)),f295(x75721,x75722,x75724))+~P1(f319(f319(f226(x75721),x75723),x75724))+~P1(f319(f319(f226(x75721),x75722),x75723)) % 219.27/219.54 [7632]~P4(x76321)+E(f319(f319(f102(f932(x76321,a923)),f298(x76321,x76322,x76323)),f319(f294(x76321,x76323),x76324)),f298(x76321,x76322,x76324))+~P1(f319(f319(f226(x76321),x76323),x76324))+~P1(f319(f319(f227(x76321),x76322),x76323)) % 219.27/219.54 [7649]~P4(x76491)+E(f319(f319(f102(f932(x76491,a923)),f295(x76491,x76492,x76493)),f298(x76491,x76493,x76494)),f319(f294(x76491,x76492),x76494))+~P1(f319(f319(f226(x76491),x76492),x76493))+~P1(f319(f319(f227(x76491),x76493),x76494)) % 219.27/219.54 [7680]~P4(x76801)+E(f319(f319(f102(f932(x76801,a923)),f295(x76801,x76802,x76803)),f297(x76801,x76803,x76804)),f295(x76801,x76802,x76804))+~P1(f319(f319(f226(x76801),x76803),x76804))+~P1(f319(f319(f226(x76801),x76802),x76803)) % 219.27/219.54 [7681]~P4(x76811)+E(f319(f319(f102(f932(x76811,a923)),f297(x76811,x76812,x76813)),f297(x76811,x76813,x76814)),f297(x76811,x76812,x76814))+~P1(f319(f319(f226(x76811),x76813),x76814))+~P1(f319(f319(f226(x76811),x76812),x76813)) % 219.27/219.54 [7682]~P4(x76821)+E(f319(f319(f102(f932(x76821,a923)),f297(x76821,x76822,x76823)),f298(x76821,x76823,x76824)),f298(x76821,x76822,x76824))+~P1(f319(f319(f226(x76821),x76822),x76823))+~P1(f319(f319(f227(x76821),x76823),x76824)) % 219.27/219.54 [7683]~P4(x76831)+E(f319(f319(f102(f932(x76831,a923)),f298(x76831,x76832,x76833)),f295(x76831,x76833,x76834)),f297(x76831,x76832,x76834))+~P1(f319(f319(f226(x76831),x76833),x76834))+~P1(f319(f319(f227(x76831),x76832),x76833)) % 219.27/219.54 [8471]P26(x84711,x84712,f422(x84713,x84712,x84714,x84711),x84714)+~P1(f319(f55(x84712),x84713))+~P1(f319(f55(x84711),x84714))+~P1(f319(f319(f226(a925),f319(f29(x84711),x84714)),f319(f29(x84712),x84713))) % 219.27/219.54 [8492]P36(x84921,x84922,x84923)+~P1(f319(x84922,x84924))+P1(f319(x84922,f789(x84923,x84922,x84921,x84924)))+~P1(f319(f319(f321(x84921),x84924),f319(f164(x84921),x84923))) % 219.27/219.54 [8493]P36(x84931,x84932,x84933)+~P1(f319(x84932,x84934))+P1(f319(x84932,f799(x84933,x84932,x84931,x84934)))+~P1(f319(f319(f321(x84931),x84934),f319(f164(x84931),x84933))) % 219.27/219.54 [8548]~P78(x85481)+~E(f319(x85483,f521(x85483,x85484,x85482,x85481)),f72(x85481))+E(f319(f319(f319(f59(x85481,x85482,f75(x85481)),x85483),f72(x85481)),x85484),f72(x85481))+~P1(f319(f55(x85482),x85484)) % 219.27/219.54 [8820]~P129(x88201)+~P1(f319(f319(f226(x88201),f2(x88201)),x88203))+P1(f319(f319(f226(x88201),x88202),x88203))+~P1(f319(f319(f226(x88201),f319(f319(f236(x88201),x88202),f319(a104,x88204))),f319(f319(f236(x88201),x88203),f319(a104,x88204)))) % 219.27/219.54 [8995]~P41(f932(x89954,a923),f932(x89954,a923),x89953)+P1(f319(x89951,x89952))+~P1(f319(x89951,f460(x89951,x89953,x89952,x89954)))+~P1(f319(f319(f321(x89954),x89952),f87(f932(x89954,a923),x89953))) % 219.27/219.54 [9142]P36(x91421,x91422,x91423)+~P1(f319(x91422,x91424))+~P1(f319(f319(f321(x91421),x91424),f319(f164(x91421),x91423)))+P1(f319(f319(f321(x91421),f789(x91423,x91422,x91421,x91424)),f319(f164(x91421),x91423))) % 219.27/219.54 [9143]P36(x91431,x91432,x91433)+~P1(f319(x91432,x91434))+~P1(f319(f319(f321(x91431),x91434),f319(f164(x91431),x91433)))+P1(f319(f319(f321(x91431),f799(x91433,x91432,x91431,x91434)),f319(f164(x91431),x91433))) % 219.27/219.54 [9222]~P78(x92221)+E(f319(f319(f319(f59(x92221,x92222,f75(x92221)),x92223),f72(x92221)),x92224),f72(x92221))+~P1(f319(f55(x92222),x92224))+P1(f319(f319(f321(x92222),f521(x92223,x92224,x92222,x92221)),x92224)) % 219.27/219.54 [9724]~P1(f319(f319(f226(a1),x97244),f2(a1)))+P1(f319(f319(f226(a1),f319(f319(f74(a1),f319(f319(f75(a1),x97241),f39(a1,x97242,x97243))),x97244)),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x97243))+~P1(f319(f319(f227(a1),x97241),x97244)) % 219.27/219.54 [10181]~P1(f319(f55(x101811),x101812))+~P1(f319(f319(f321(x101811),x101814),x101812))+~P1(f319(f319(f321(x101811),x101813),x101812))+P1(f319(f319(f227(a925),f319(f29(x101811),f319(f319(f23(f932(x101811,a923)),f319(f319(f23(f932(x101811,a923)),x101812),f319(f319(f301(x101811),x101813),f180(f932(x101811,a923))))),f319(f319(f301(x101811),x101814),f180(f932(x101811,a923)))))),f319(f29(x101811),x101812))) % 219.27/219.54 [7104]~P143(x71043)+~P123(x71043)+P1(f319(x71041,f871(x71042,x71041,x71043)))+~P1(f319(x71041,f319(f319(f75(x71043),x71042),x71044))) % 219.27/219.54 [7161]~P108(x71611)+~P1(f319(f319(f226(x71611),x71612),x71614))+~P1(f319(f319(f226(x71611),x71612),x71613))+P1(f319(f319(f226(x71611),x71612),f319(f319(f93(x71611),x71613),x71614))) % 219.27/219.54 [7164]~P4(x71641)+~P1(f319(f319(f226(x71641),x71642),x71644))+~P1(f319(f319(f226(x71641),x71642),x71643))+P1(f319(f319(f226(x71641),x71642),f319(f319(f224(x71641),x71643),x71644))) % 219.27/219.54 [7165]~P4(x71651)+~P1(f319(f319(f227(x71651),x71652),x71654))+~P1(f319(f319(f227(x71651),x71652),x71653))+P1(f319(f319(f227(x71651),x71652),f319(f319(f224(x71651),x71653),x71654))) % 219.27/219.54 [7185]~P73(x71852)+E(x71851,f2(x71852))+E(f319(f319(f283(x71852),f319(f319(f236(x71852),x71851),x71853)),f319(f319(f236(x71852),x71851),x71854)),f319(f319(f236(x71852),x71851),f319(f319(f23(a925),x71853),x71854)))+~P1(f319(f319(f226(a925),x71854),x71853)) % 219.27/219.54 [7230]~P4(x72301)+~P14(x72301,f319(f319(f143(x72301),x72303),x72304))+P14(x72301,f319(f319(f143(x72301),x72302),f319(f319(f143(x72301),x72303),x72304)))+~P1(f319(f319(f226(x72301),x72302),x72303)) % 219.27/219.54 [7266]~P93(x72661)+~P1(f319(f319(f226(x72661),f2(x72661)),x72664))+~P1(f319(f319(f226(x72661),x72662),x72663))+P1(f319(f319(f226(x72661),x72662),f319(f319(f74(x72661),x72663),x72664))) % 219.27/219.54 [7267]~P93(x72671)+~P1(f319(f319(f226(x72671),f2(x72671)),x72673))+~P1(f319(f319(f226(x72671),x72672),x72674))+P1(f319(f319(f226(x72671),x72672),f319(f319(f74(x72671),x72673),x72674))) % 219.27/219.54 [7268]~P129(x72681)+~P1(f319(f319(f227(x72681),f2(x72681)),x72683))+~P1(f319(f319(f227(x72681),x72682),x72684))+P1(f319(f319(f227(x72681),x72682),f319(f319(f74(x72681),x72683),x72684))) % 219.27/219.54 [7269]~P93(x72691)+~P1(f319(f319(f226(x72691),x72692),x72694))+~P1(f319(f319(f227(x72691),f2(x72691)),x72693))+P1(f319(f319(f227(x72691),x72692),f319(f319(f74(x72691),x72693),x72694))) % 219.27/219.54 [7270]~P93(x72701)+~P1(f319(f319(f226(x72701),f2(x72701)),x72703))+~P1(f319(f319(f227(x72701),x72702),x72704))+P1(f319(f319(f227(x72701),x72702),f319(f319(f74(x72701),x72703),x72704))) % 219.27/219.54 [7312]~P4(x73121)+P1(f319(f319(f226(x73121),x73122),x73123))+P1(f319(f319(f226(x73121),x73122),x73124))+~P1(f319(f319(f226(x73121),x73122),f319(f319(f225(x73121),x73124),x73123))) % 219.27/219.54 [7313]~P4(x73131)+P1(f319(f319(f227(x73131),x73132),x73133))+P1(f319(f319(f227(x73131),x73132),x73134))+~P1(f319(f319(f227(x73131),x73132),f319(f319(f225(x73131),x73134),x73133))) % 219.27/219.54 [7605]~P113(x76052)+~P5(x76051)+~P1(f319(f319(f227(f932(x76051,x76052)),x76053),x76054))+P1(f319(f319(f226(f932(x76051,x76052)),x76053),x76054)) % 219.27/219.54 [7966]~P75(x79661)+~P1(f319(f319(f227(x79661),x79664),f2(x79661)))+~P1(f319(f319(f226(x79661),x79663),f319(f319(f283(x79661),x79662),x79664)))+P1(f319(f319(f226(x79661),x79662),f319(f319(f75(x79661),x79663),x79664))) % 219.27/219.54 [7967]~P75(x79671)+~P1(f319(f319(f227(x79671),x79674),f2(x79671)))+~P1(f319(f319(f226(x79671),x79673),f319(f319(f75(x79671),x79672),x79674)))+P1(f319(f319(f226(x79671),x79672),f319(f319(f283(x79671),x79673),x79674))) % 219.27/219.54 [7968]~P75(x79681)+~P1(f319(f319(f227(x79681),x79684),f2(x79681)))+~P1(f319(f319(f227(x79681),x79683),f319(f319(f283(x79681),x79682),x79684)))+P1(f319(f319(f227(x79681),x79682),f319(f319(f75(x79681),x79683),x79684))) % 219.27/219.54 [7969]~P75(x79691)+~P1(f319(f319(f227(x79691),x79694),f2(x79691)))+~P1(f319(f319(f227(x79691),x79693),f319(f319(f75(x79691),x79692),x79694)))+P1(f319(f319(f227(x79691),x79692),f319(f319(f283(x79691),x79693),x79694))) % 219.27/219.54 [8076]~P132(x80761)+~P1(f319(f319(f226(x80761),x80762),f2(x80761)))+~P1(f319(f319(f226(x80761),x80764),x80763))+P1(f319(f319(f226(x80761),f319(f319(f75(x80761),x80762),x80763)),f319(f319(f75(x80761),x80762),x80764))) % 219.27/219.54 [8077]~P130(x80771)+~P1(f319(f319(f227(x80771),x80772),f2(x80771)))+~P1(f319(f319(f226(x80771),x80774),x80773))+P1(f319(f319(f226(x80771),f319(f319(f75(x80771),x80772),x80773)),f319(f319(f75(x80771),x80772),x80774))) % 219.27/219.54 [8078]~P132(x80781)+~P1(f319(f319(f226(x80781),x80783),f2(x80781)))+~P1(f319(f319(f226(x80781),x80784),x80782))+P1(f319(f319(f226(x80781),f319(f319(f75(x80781),x80782),x80783)),f319(f319(f75(x80781),x80784),x80783))) % 219.27/219.54 [8079]~P74(x80791)+~P1(f319(f319(f226(x80791),x80793),f2(x80791)))+~P1(f319(f319(f226(x80791),x80794),x80792))+P1(f319(f319(f226(x80791),f319(f319(f283(x80791),x80792),x80793)),f319(f319(f283(x80791),x80794),x80793))) % 219.27/219.54 [8083]~P130(x80831)+~P1(f319(f319(f227(x80831),x80833),f2(x80831)))+~P1(f319(f319(f227(x80831),x80834),x80832))+P1(f319(f319(f227(x80831),f319(f319(f75(x80831),x80832),x80833)),f319(f319(f75(x80831),x80834),x80833))) % 219.27/219.54 [8084]~P130(x80841)+~P1(f319(f319(f227(x80841),x80842),f2(x80841)))+~P1(f319(f319(f227(x80841),x80844),x80843))+P1(f319(f319(f227(x80841),f319(f319(f75(x80841),x80842),x80843)),f319(f319(f75(x80841),x80842),x80844))) % 219.27/219.54 [8085]~P75(x80851)+~P1(f319(f319(f227(x80851),x80853),f2(x80851)))+~P1(f319(f319(f227(x80851),x80854),x80852))+P1(f319(f319(f227(x80851),f319(f319(f283(x80851),x80852),x80853)),f319(f319(f283(x80851),x80854),x80853))) % 219.27/219.54 [8086]~P129(x80861)+~P1(f319(f319(f227(x80861),f72(x80861)),x80862))+~P1(f319(f319(f226(a925),x80863),x80864))+P1(f319(f319(f226(x80861),f319(f319(f236(x80861),x80862),x80863)),f319(f319(f236(x80861),x80862),x80864))) % 219.27/219.54 [8087]~P129(x80871)+~P1(f319(f319(f226(x80871),f72(x80871)),x80872))+~P1(f319(f319(f226(a925),x80873),x80874))+P1(f319(f319(f226(x80871),f319(f319(f236(x80871),x80872),x80873)),f319(f319(f236(x80871),x80872),x80874))) % 219.27/219.54 [8089]~P129(x80891)+~P1(f319(f319(f227(x80891),f72(x80891)),x80892))+~P1(f319(f319(f227(a925),x80893),x80894))+P1(f319(f319(f227(x80891),f319(f319(f236(x80891),x80892),x80893)),f319(f319(f236(x80891),x80892),x80894))) % 219.27/219.54 [8116]P1(f319(f319(f227(a925),f2(a925)),f319(x81161,x81162)))+~P1(f319(f55(x81163),x81164))+~P1(f319(f319(f321(x81163),x81162),x81164))+~P1(f319(f319(f227(a925),f2(a925)),f319(f319(f9(x81163,a925),x81161),x81164))) % 219.27/219.54 [8125]~P141(x81251)+~P1(f319(f319(f226(x81251),x81253),x81254))+~P1(f319(f319(f226(x81251),f2(x81251)),x81252))+P1(f319(f319(f226(x81251),f319(f319(f75(x81251),x81252),x81253)),f319(f319(f75(x81251),x81252),x81254))) % 219.27/219.54 [8126]~P140(x81261)+~P1(f319(f319(f226(x81261),x81263),x81264))+~P1(f319(f319(f226(x81261),f2(x81261)),x81262))+P1(f319(f319(f226(x81261),f319(f319(f75(x81261),x81262),x81263)),f319(f319(f75(x81261),x81262),x81264))) % 219.27/219.54 [8127]~P130(x81271)+~P1(f319(f319(f227(x81271),f2(x81271)),x81272))+~P1(f319(f319(f226(x81271),x81273),x81274))+P1(f319(f319(f226(x81271),f319(f319(f75(x81271),x81272),x81273)),f319(f319(f75(x81271),x81272),x81274))) % 219.27/219.54 [8128]~P141(x81281)+~P1(f319(f319(f226(x81281),x81282),x81284))+~P1(f319(f319(f226(x81281),f2(x81281)),x81283))+P1(f319(f319(f226(x81281),f319(f319(f75(x81281),x81282),x81283)),f319(f319(f75(x81281),x81284),x81283))) % 219.27/219.54 [8129]~P129(x81291)+~P1(f319(f319(f226(x81291),x81292),x81294))+~P1(f319(f319(f226(x81291),f2(x81291)),x81292))+P1(f319(f319(f226(x81291),f319(f319(f236(x81291),x81292),x81293)),f319(f319(f236(x81291),x81294),x81293))) % 219.27/219.54 [8130]~P74(x81301)+~P1(f319(f319(f226(x81301),x81302),x81304))+~P1(f319(f319(f226(x81301),f2(x81301)),x81303))+P1(f319(f319(f226(x81301),f319(f319(f283(x81301),x81302),x81303)),f319(f319(f283(x81301),x81304),x81303))) % 219.27/219.54 [8132]~P127(x81321)+~P1(f319(f319(f227(x81321),x81323),x81324))+~P1(f319(f319(f227(x81321),f2(x81321)),x81322))+P1(f319(f319(f227(x81321),f319(f319(f75(x81321),x81322),x81323)),f319(f319(f75(x81321),x81322),x81324))) % 219.27/219.54 [8133]~P134(x81331)+~P1(f319(f319(f227(x81331),x81333),x81334))+~P1(f319(f319(f227(x81331),f2(x81331)),x81332))+P1(f319(f319(f227(x81331),f319(f319(f75(x81331),x81332),x81333)),f319(f319(f75(x81331),x81332),x81334))) % 219.27/219.54 [8134]~P130(x81341)+~P1(f319(f319(f227(x81341),x81342),x81344))+~P1(f319(f319(f227(x81341),f2(x81341)),x81343))+P1(f319(f319(f227(x81341),f319(f319(f75(x81341),x81342),x81343)),f319(f319(f75(x81341),x81344),x81343))) % 219.27/219.54 [8135]~P134(x81351)+~P1(f319(f319(f227(x81351),x81352),x81354))+~P1(f319(f319(f227(x81351),f2(x81351)),x81353))+P1(f319(f319(f227(x81351),f319(f319(f75(x81351),x81352),x81353)),f319(f319(f75(x81351),x81354),x81353))) % 219.27/219.54 [8136]~P130(x81361)+~P1(f319(f319(f227(x81361),x81363),x81364))+~P1(f319(f319(f227(x81361),f2(x81361)),x81362))+P1(f319(f319(f227(x81361),f319(f319(f75(x81361),x81362),x81363)),f319(f319(f75(x81361),x81362),x81364))) % 219.27/219.54 [8137]~P75(x81371)+~P1(f319(f319(f227(x81371),x81372),x81374))+~P1(f319(f319(f227(x81371),f2(x81371)),x81373))+P1(f319(f319(f227(x81371),f319(f319(f283(x81371),x81372),x81373)),f319(f319(f283(x81371),x81374),x81373))) % 219.27/219.54 [8181]~P3(x81812)+P1(f319(f319(f227(f932(x81811,x81812)),x81814),x81813))+~P1(f319(f319(f226(f932(x81811,x81812)),x81814),x81813))+P1(f319(f319(f226(f932(x81811,x81812)),x81813),x81814)) % 219.27/219.54 [8222]P1(f319(f319(f321(x82221),x82222),x82223))+P1(f319(f319(f321(x82221),x82222),x82224))+~P1(f319(f319(f226(f932(x82221,a923)),x82224),x82223))+P1(f319(f319(f227(f932(x82221,a923)),x82224),f319(f319(f301(x82221),x82222),x82223))) % 219.27/219.54 [8333]~P117(x83332)+E(x83331,f2(x83332))+P1(f319(f319(f279(x83332),x83333),x83334))+~P1(f319(f319(f279(x83332),f319(f319(f75(x83332),x83333),x83331)),f319(f319(f75(x83332),x83334),x83331))) % 219.27/219.54 [8334]~P117(x83342)+E(x83341,f2(x83342))+P1(f319(f319(f279(x83342),x83343),x83344))+~P1(f319(f319(f279(x83342),f319(f319(f75(x83342),x83341),x83343)),f319(f319(f75(x83342),x83341),x83344))) % 219.27/219.54 [8382]P1(f319(f319(f321(x83821),x83822),x83823))+P1(f319(f319(f321(x83821),x83822),x83824))+~P1(f319(f319(f227(f932(x83821,a923)),x83824),f319(f319(f301(x83821),x83822),x83823)))+P1(f319(f319(f226(f932(x83821,a923)),x83824),x83823)) % 219.27/219.54 [8448]~P130(x84481)+P1(f319(f319(f227(x84481),x84483),x84482))+P1(f319(f319(f227(x84481),x84482),x84483))+~P1(f319(f319(f227(x84481),f319(f319(f75(x84481),x84484),x84482)),f319(f319(f75(x84481),x84484),x84483))) % 219.27/219.54 [8449]~P130(x84491)+P1(f319(f319(f227(x84491),x84493),x84492))+P1(f319(f319(f227(x84491),x84492),x84493))+~P1(f319(f319(f227(x84491),f319(f319(f75(x84491),x84492),x84494)),f319(f319(f75(x84491),x84493),x84494))) % 219.27/219.54 [8460]~P130(x84601)+P1(f319(f319(f227(x84601),x84604),f2(x84601)))+P1(f319(f319(f227(x84601),x84602),x84603))+~P1(f319(f319(f227(x84601),f319(f319(f75(x84601),x84602),x84604)),f319(f319(f75(x84601),x84603),x84604))) % 219.27/219.54 [8461]~P130(x84611)+P1(f319(f319(f227(x84611),x84614),f2(x84611)))+P1(f319(f319(f227(x84611),x84612),x84613))+~P1(f319(f319(f227(x84611),f319(f319(f75(x84611),x84614),x84612)),f319(f319(f75(x84611),x84614),x84613))) % 219.27/219.54 [8465]~P130(x84651)+P1(f319(f319(f227(x84651),x84652),x84653))+P1(f319(f319(f227(x84651),f2(x84651)),x84654))+~P1(f319(f319(f227(x84651),f319(f319(f75(x84651),x84654),x84653)),f319(f319(f75(x84651),x84654),x84652))) % 219.27/219.54 [8466]~P130(x84661)+P1(f319(f319(f227(x84661),x84662),x84663))+P1(f319(f319(f227(x84661),f2(x84661)),x84664))+~P1(f319(f319(f227(x84661),f319(f319(f75(x84661),x84663),x84664)),f319(f319(f75(x84661),x84662),x84664))) % 219.27/219.54 [8479]~P130(x84791)+P1(f319(f319(f227(x84791),x84792),f2(x84791)))+P1(f319(f319(f227(x84791),f2(x84791)),x84792))+~P1(f319(f319(f227(x84791),f319(f319(f75(x84791),x84793),x84792)),f319(f319(f75(x84791),x84794),x84792))) % 219.27/219.54 [8480]~P130(x84801)+P1(f319(f319(f227(x84801),x84802),f2(x84801)))+P1(f319(f319(f227(x84801),f2(x84801)),x84802))+~P1(f319(f319(f227(x84801),f319(f319(f75(x84801),x84802),x84803)),f319(f319(f75(x84801),x84802),x84804))) % 219.27/219.54 [8510]~P130(x85101)+~P1(f319(f319(f227(x85101),x85104),f2(x85101)))+P1(f319(f319(f226(x85101),x85102),x85103))+~P1(f319(f319(f226(x85101),f319(f319(f75(x85101),x85104),x85103)),f319(f319(f75(x85101),x85104),x85102))) % 219.27/219.54 [8511]~P130(x85111)+~P1(f319(f319(f227(x85111),x85114),f2(x85111)))+P1(f319(f319(f227(x85111),x85112),x85113))+~P1(f319(f319(f227(x85111),f319(f319(f75(x85111),x85114),x85113)),f319(f319(f75(x85111),x85114),x85112))) % 219.27/219.54 [8522]~P129(x85223)+~P1(f319(f319(f227(x85223),f72(x85223)),x85224))+P1(f319(f319(f226(a925),x85221),x85222))+~P1(f319(f319(f226(x85223),f319(f319(f236(x85223),x85224),x85221)),f319(f319(f236(x85223),x85224),x85222))) % 219.27/219.54 [8524]~P129(x85243)+~P1(f319(f319(f227(x85243),f72(x85243)),x85244))+P1(f319(f319(f227(a925),x85241),x85242))+~P1(f319(f319(f227(x85243),f319(f319(f236(x85243),x85244),x85241)),f319(f319(f236(x85243),x85244),x85242))) % 219.27/219.54 [8534]~P130(x85341)+P1(f319(f319(f226(x85341),x85342),x85343))+~P1(f319(f319(f227(x85341),f2(x85341)),x85344))+~P1(f319(f319(f226(x85341),f319(f319(f75(x85341),x85344),x85342)),f319(f319(f75(x85341),x85344),x85343))) % 219.27/219.54 [8535]~P134(x85351)+P1(f319(f319(f226(x85351),x85352),x85353))+~P1(f319(f319(f227(x85351),f2(x85351)),x85354))+~P1(f319(f319(f226(x85351),f319(f319(f75(x85351),x85354),x85352)),f319(f319(f75(x85351),x85354),x85353))) % 219.27/219.54 [8536]~P134(x85361)+P1(f319(f319(f226(x85361),x85362),x85363))+~P1(f319(f319(f227(x85361),f2(x85361)),x85364))+~P1(f319(f319(f226(x85361),f319(f319(f75(x85361),x85362),x85364)),f319(f319(f75(x85361),x85363),x85364))) % 219.27/219.54 [8537]~P130(x85371)+P1(f319(f319(f227(x85371),x85372),x85373))+~P1(f319(f319(f227(x85371),f2(x85371)),x85374))+~P1(f319(f319(f227(x85371),f319(f319(f75(x85371),x85374),x85372)),f319(f319(f75(x85371),x85374),x85373))) % 219.27/219.54 [8538]~P134(x85381)+P1(f319(f319(f227(x85381),x85382),x85383))+~P1(f319(f319(f226(x85381),f2(x85381)),x85384))+~P1(f319(f319(f227(x85381),f319(f319(f75(x85381),x85384),x85382)),f319(f319(f75(x85381),x85384),x85383))) % 219.27/219.54 [8539]~P135(x85391)+P1(f319(f319(f227(x85391),x85392),x85393))+~P1(f319(f319(f226(x85391),f2(x85391)),x85394))+~P1(f319(f319(f227(x85391),f319(f319(f75(x85391),x85394),x85392)),f319(f319(f75(x85391),x85394),x85393))) % 219.27/219.54 [8540]~P129(x85401)+~P1(f319(f319(f226(x85401),f2(x85401)),x85403))+P1(f319(f319(f227(x85401),x85402),x85403))+~P1(f319(f319(f227(x85401),f319(f319(f236(x85401),x85402),x85404)),f319(f319(f236(x85401),x85403),x85404))) % 219.27/219.54 [8541]~P134(x85411)+P1(f319(f319(f227(x85411),x85412),x85413))+~P1(f319(f319(f226(x85411),f2(x85411)),x85414))+~P1(f319(f319(f227(x85411),f319(f319(f75(x85411),x85412),x85414)),f319(f319(f75(x85411),x85413),x85414))) % 219.27/219.54 [8542]~P135(x85421)+P1(f319(f319(f227(x85421),x85422),x85423))+~P1(f319(f319(f226(x85421),f2(x85421)),x85424))+~P1(f319(f319(f227(x85421),f319(f319(f75(x85421),x85422),x85424)),f319(f319(f75(x85421),x85423),x85424))) % 219.27/219.54 [8586]P1(f319(f319(f321(x85861),x85862),x85863))+~P1(f319(f319(f226(f932(x85861,a923)),x85863),x85864))+~P1(f319(f319(f227(f932(x85861,a923)),x85863),x85864))+P1(f319(f319(f227(f932(x85861,a923)),x85863),f319(f319(f301(x85861),x85862),x85864))) % 219.27/219.54 [8619]~P143(x86191)+~P123(x86191)+P1(f319(f319(f279(x86191),x86192),f319(f319(f74(x86191),f871(x86192,x86193,x86191)),f2(x86191))))+~P1(f319(x86193,f319(f319(f75(x86191),x86192),x86194))) % 219.27/219.54 [8970]E(f319(f319(f23(a1),f380(x89701,x89702,x89703,x89704)),f381(x89701,x89702,x89703,x89704)),x89704)+~P1(f319(f319(f227(a1),f2(a1)),x89703))+~P1(f319(f319(f226(a1),x89701),x89704))+P1(f319(f319(f226(a1),x89701),f319(f319(f74(a1),x89704),x89703))) % 219.27/219.54 [8971]E(f319(f319(f23(a1),f403(x89711,x89712,x89713,x89714)),f404(x89711,x89712,x89713,x89714)),x89714)+~P1(f319(f319(f227(a1),f2(a1)),x89713))+~P1(f319(f319(f227(a1),x89711),x89714))+P1(f319(f319(f227(a1),x89711),f319(f319(f74(a1),x89714),x89713))) % 219.27/219.54 [9123]~E(f319(f319(f156(x91231),x91233),f689(x91234,x91233,x91231,x91232)),f319(f319(f156(x91231),x91234),f689(x91234,x91233,x91231,x91232)))+E(f319(f319(f167(x91231),x91232),x91233),f319(f319(f167(x91231),x91232),x91234))+~P1(f319(f319(f226(a925),x91232),f319(f181(f926(x91231)),x91233)))+~P1(f319(f319(f226(a925),x91232),f319(f181(f926(x91231)),x91234))) % 219.27/219.54 [9189]~P1(f319(f319(f227(a1),f2(a1)),x91893))+~P1(f319(f319(f226(a1),x91891),x91894))+P1(f319(f319(f321(a1),f380(x91891,x91892,x91893,x91894)),x91892))+P1(f319(f319(f226(a1),x91891),f319(f319(f74(a1),x91894),x91893))) % 219.27/219.54 [9190]~P1(f319(f319(f227(a1),f2(a1)),x91903))+~P1(f319(f319(f227(a1),x91901),x91904))+P1(f319(f319(f321(a1),f403(x91901,x91902,x91903,x91904)),x91902))+P1(f319(f319(f227(a1),x91901),f319(f319(f74(a1),x91904),x91903))) % 219.27/219.54 [9231]~P108(x92311)+~P1(f319(f55(x92311),x92313))+~P1(f319(f319(f321(x92311),x92314),x92313))+P1(f319(f319(f226(x92311),f319(f319(f58(x92311,x92311,f93(x92311)),x92312),x92313)),f319(f319(f93(x92311),x92314),x92312))) % 219.27/219.54 [9232]~P4(x92321)+~P1(f319(f55(x92321),x92323))+~P1(f319(f319(f321(x92321),x92324),x92323))+P1(f319(f319(f226(x92321),f319(f319(f58(x92321,x92321,f224(x92321)),x92322),x92323)),f319(f319(f224(x92321),x92324),x92322))) % 219.27/219.54 [9277]E(f319(f319(f167(x92771),x92772),x92773),f319(f319(f167(x92771),x92772),x92774))+P1(f319(f319(f227(a925),f689(x92773,x92774,x92771,x92772)),x92772))+~P1(f319(f319(f226(a925),x92772),f319(f181(f926(x92771)),x92773)))+~P1(f319(f319(f226(a925),x92772),f319(f181(f926(x92771)),x92774))) % 219.27/219.54 [9282]~P1(f319(f319(f227(a1),f2(a1)),x92823))+~P1(f319(f319(f226(a1),x92821),x92822))+P1(f319(f319(f321(a1),f381(x92821,x92824,x92823,x92822)),f295(a1,f72(a1),x92823)))+P1(f319(f319(f226(a1),x92821),f319(f319(f74(a1),x92822),x92823))) % 219.27/219.54 [9283]~P1(f319(f319(f227(a1),f2(a1)),x92833))+~P1(f319(f319(f227(a1),x92831),x92832))+P1(f319(f319(f321(a1),f404(x92831,x92834,x92833,x92832)),f295(a1,f72(a1),x92833)))+P1(f319(f319(f227(a1),x92831),f319(f319(f74(a1),x92832),x92833))) % 219.27/219.54 [9610]~P4(x96101)+~P1(f319(f55(x96101),x96104))+P1(f319(f319(f321(x96101),f652(x96102,x96103,x96104,x96101)),x96104))+P1(f319(f319(f226(x96101),f319(f319(f58(x96101,x96101,f225(x96101)),x96102),x96104)),f319(f319(f225(x96101),x96103),x96102))) % 219.27/219.54 [9611]~P107(x96111)+~P1(f319(f55(x96111),x96114))+P1(f319(f319(f321(x96111),f655(x96112,x96113,x96114,x96111)),x96114))+P1(f319(f319(f226(x96111),f319(f319(f58(x96111,x96111,f102(x96111)),x96112),x96114)),f319(f319(f102(x96111),x96113),x96112))) % 219.27/219.54 [9740]~P107(x97401)+~P1(f319(f55(x97401),x97403))+~P1(f319(f319(f226(x97401),f655(x97402,x97404,x97403,x97401)),x97404))+P1(f319(f319(f226(x97401),f319(f319(f58(x97401,x97401,f102(x97401)),x97402),x97403)),f319(f319(f102(x97401),x97404),x97402))) % 219.27/219.54 [9741]~P4(x97411)+~P1(f319(f55(x97411),x97413))+~P1(f319(f319(f226(x97411),f652(x97412,x97414,x97413,x97411)),x97414))+P1(f319(f319(f226(x97411),f319(f319(f58(x97411,x97411,f225(x97411)),x97412),x97413)),f319(f319(f225(x97411),x97414),x97412))) % 219.27/219.54 [9743]~P1(f319(f319(f226(a1),f2(a1)),x97434))+~P1(f319(f319(f227(a1),f2(a1)),x97433))+~P1(f319(f319(f227(a1),x97434),x97431))+P1(f319(f319(f227(a1),f319(f319(f74(a1),f319(f319(f75(a1),x97431),f39(a1,x97432,x97433))),x97434)),f319(f319(f75(a1),x97431),x97433))) % 219.27/219.54 [10153]E(x101531,x101532)+P1(f319(f319(f321(f931(f926(x101533),f926(x101533))),f319(f319(f244(f926(x101533),f926(x101533)),x101532),x101531)),f139(x101533,x101534)))+P1(f319(f319(f321(f931(f926(x101533),f926(x101533))),f319(f319(f244(f926(x101533),f926(x101533)),x101531),x101532)),f139(x101533,x101534)))+~P1(f319(f319(f321(f931(x101533,x101533)),f319(f319(f244(x101533,x101533),f680(x101531,x101532,x101534,x101533)),f683(x101531,x101532,x101534,x101533))),x101534)) % 219.27/219.54 [10154]E(x101541,x101542)+P1(f319(f319(f321(f931(f926(x101543),f926(x101543))),f319(f319(f244(f926(x101543),f926(x101543)),x101542),x101541)),f139(x101543,x101544)))+P1(f319(f319(f321(f931(f926(x101543),f926(x101543))),f319(f319(f244(f926(x101543),f926(x101543)),x101541),x101542)),f139(x101543,x101544)))+~P1(f319(f319(f321(f931(x101543,x101543)),f319(f319(f244(x101543,x101543),f683(x101541,x101542,x101544,x101543)),f680(x101541,x101542,x101544,x101543))),x101544)) % 219.27/219.54 [7671]~P107(x76711)+~P1(f319(f319(f226(x76711),x76713),x76714))+~P1(f319(f319(f226(x76711),x76712),x76714))+P1(f319(f319(f226(x76711),f319(f319(f102(x76711),x76712),x76713)),x76714)) % 219.27/219.54 [7674]~P4(x76741)+~P1(f319(f319(f226(x76741),x76743),x76744))+~P1(f319(f319(f226(x76741),x76742),x76744))+P1(f319(f319(f226(x76741),f319(f319(f225(x76741),x76742),x76743)),x76744)) % 219.27/219.54 [7675]~P4(x76751)+~P1(f319(f319(f227(x76751),x76753),x76754))+~P1(f319(f319(f227(x76751),x76752),x76754))+P1(f319(f319(f227(x76751),f319(f319(f225(x76751),x76752),x76753)),x76754)) % 219.27/219.54 [7991]~E(x79911,x79913)+E(f131(a925,f319(f294(a925,x79911),x79912)),f319(f319(f143(a925),x79913),x79914))+~E(f131(a925,f319(f294(a925,f319(f319(f74(a925),x79911),f72(a925))),x79912)),x79914)+~P1(f319(f319(f227(a925),x79911),x79912)) % 219.27/219.54 [7999]~P4(x79991)+P1(f319(f319(f226(x79991),x79992),x79993))+P1(f319(f319(f226(x79991),x79994),x79993))+~P1(f319(f319(f226(x79991),f319(f319(f224(x79991),x79994),x79992)),x79993)) % 219.27/219.54 [8000]~P4(x80001)+P1(f319(f319(f227(x80001),x80002),x80003))+P1(f319(f319(f227(x80001),x80004),x80003))+~P1(f319(f319(f227(x80001),f319(f319(f224(x80001),x80004),x80002)),x80003)) % 219.27/219.54 [8280]~P74(x82801)+~P1(f319(f319(f227(x82801),f2(x82801)),x82803))+~P1(f319(f319(f226(x82801),x82802),f319(f319(f283(x82801),x82804),x82803)))+P1(f319(f319(f226(x82801),f319(f319(f75(x82801),x82802),x82803)),x82804)) % 219.27/219.54 [8281]~P75(x82811)+~P1(f319(f319(f227(x82811),f2(x82811)),x82813))+~P1(f319(f319(f226(x82811),x82812),f319(f319(f283(x82811),x82814),x82813)))+P1(f319(f319(f226(x82811),f319(f319(f75(x82811),x82812),x82813)),x82814)) % 219.27/219.54 [8283]~P74(x82831)+~P1(f319(f319(f227(x82831),f2(x82831)),x82833))+~P1(f319(f319(f226(x82831),x82832),f319(f319(f75(x82831),x82834),x82833)))+P1(f319(f319(f226(x82831),f319(f319(f283(x82831),x82832),x82833)),x82834)) % 219.27/219.54 [8284]~P75(x82841)+~P1(f319(f319(f227(x82841),f2(x82841)),x82843))+~P1(f319(f319(f226(x82841),x82842),f319(f319(f75(x82841),x82844),x82843)))+P1(f319(f319(f226(x82841),f319(f319(f283(x82841),x82842),x82843)),x82844)) % 219.27/219.54 [8285]~P74(x82851)+~P1(f319(f319(f227(x82851),f2(x82851)),x82853))+~P1(f319(f319(f227(x82851),x82852),f319(f319(f283(x82851),x82854),x82853)))+P1(f319(f319(f227(x82851),f319(f319(f75(x82851),x82852),x82853)),x82854)) % 219.27/219.54 [8286]~P75(x82861)+~P1(f319(f319(f227(x82861),f2(x82861)),x82863))+~P1(f319(f319(f227(x82861),x82862),f319(f319(f283(x82861),x82864),x82863)))+P1(f319(f319(f227(x82861),f319(f319(f75(x82861),x82862),x82863)),x82864)) % 219.27/219.54 [8288]~P74(x82881)+~P1(f319(f319(f227(x82881),f2(x82881)),x82883))+~P1(f319(f319(f227(x82881),x82882),f319(f319(f75(x82881),x82884),x82883)))+P1(f319(f319(f227(x82881),f319(f319(f283(x82881),x82882),x82883)),x82884)) % 219.27/219.54 [8289]~P75(x82891)+~P1(f319(f319(f227(x82891),f2(x82891)),x82893))+~P1(f319(f319(f227(x82891),x82892),f319(f319(f75(x82891),x82894),x82893)))+P1(f319(f319(f227(x82891),f319(f319(f283(x82891),x82892),x82893)),x82894)) % 219.27/219.54 [8418]~P74(x84181)+~P1(f319(f319(f227(x84181),f2(x84181)),x84184))+P1(f319(f319(f226(x84181),x84182),f319(f319(f75(x84181),x84183),x84184)))+~P1(f319(f319(f226(x84181),f319(f319(f283(x84181),x84182),x84184)),x84183)) % 219.27/219.54 [8420]~P74(x84201)+~P1(f319(f319(f227(x84201),f2(x84201)),x84204))+P1(f319(f319(f226(x84201),x84202),f319(f319(f283(x84201),x84203),x84204)))+~P1(f319(f319(f226(x84201),f319(f319(f75(x84201),x84202),x84204)),x84203)) % 219.27/219.54 [8421]~P75(x84211)+~P1(f319(f319(f227(x84211),f2(x84211)),x84214))+P1(f319(f319(f226(x84211),x84212),f319(f319(f75(x84211),x84213),x84214)))+~P1(f319(f319(f226(x84211),f319(f319(f283(x84211),x84212),x84214)),x84213)) % 219.27/219.54 [8422]~P75(x84221)+~P1(f319(f319(f227(x84221),f2(x84221)),x84224))+P1(f319(f319(f226(x84221),x84222),f319(f319(f283(x84221),x84223),x84224)))+~P1(f319(f319(f226(x84221),f319(f319(f75(x84221),x84222),x84224)),x84223)) % 219.27/219.54 [8423]~P74(x84231)+~P1(f319(f319(f227(x84231),f2(x84231)),x84234))+P1(f319(f319(f227(x84231),x84232),f319(f319(f75(x84231),x84233),x84234)))+~P1(f319(f319(f227(x84231),f319(f319(f283(x84231),x84232),x84234)),x84233)) % 219.27/219.54 [8425]~P74(x84251)+~P1(f319(f319(f227(x84251),f2(x84251)),x84254))+P1(f319(f319(f227(x84251),x84252),f319(f319(f283(x84251),x84253),x84254)))+~P1(f319(f319(f227(x84251),f319(f319(f75(x84251),x84252),x84254)),x84253)) % 219.27/219.54 [8426]~P75(x84261)+~P1(f319(f319(f227(x84261),f2(x84261)),x84264))+P1(f319(f319(f227(x84261),x84262),f319(f319(f75(x84261),x84263),x84264)))+~P1(f319(f319(f227(x84261),f319(f319(f283(x84261),x84262),x84264)),x84263)) % 219.27/219.54 [8427]~P75(x84271)+~P1(f319(f319(f227(x84271),f2(x84271)),x84274))+P1(f319(f319(f227(x84271),x84272),f319(f319(f283(x84271),x84273),x84274)))+~P1(f319(f319(f227(x84271),f319(f319(f75(x84271),x84272),x84274)),x84273)) % 219.27/219.54 [8589]~P75(x85891)+~P1(f319(f319(f227(x85891),x85893),f2(x85891)))+~P1(f319(f319(f226(x85891),f319(f319(f283(x85891),x85894),x85893)),x85892))+P1(f319(f319(f226(x85891),f319(f319(f75(x85891),x85892),x85893)),x85894)) % 219.27/219.54 [8590]~P75(x85901)+~P1(f319(f319(f227(x85901),x85903),f2(x85901)))+~P1(f319(f319(f226(x85901),f319(f319(f75(x85901),x85904),x85903)),x85902))+P1(f319(f319(f226(x85901),f319(f319(f283(x85901),x85902),x85903)),x85904)) % 219.27/219.54 [8591]~P75(x85911)+~P1(f319(f319(f227(x85911),x85913),f2(x85911)))+~P1(f319(f319(f227(x85911),f319(f319(f283(x85911),x85914),x85913)),x85912))+P1(f319(f319(f227(x85911),f319(f319(f75(x85911),x85912),x85913)),x85914)) % 219.27/219.54 [8592]~P75(x85921)+~P1(f319(f319(f227(x85921),x85923),f2(x85921)))+~P1(f319(f319(f227(x85921),f319(f319(f75(x85921),x85924),x85923)),x85922))+P1(f319(f319(f227(x85921),f319(f319(f283(x85921),x85922),x85923)),x85924)) % 219.27/219.54 [8604]~P1(f319(x86041,x86044))+~P1(f319(f319(f227(a925),x86042),f319(f319(f75(a925),x86043),f319(a104,x86044))))+P1(f319(x86041,f319(f319(f30(a925),x86042),x86043)))+~P1(f319(f319(f226(a925),f319(f319(f75(a925),x86043),x86044)),x86042)) % 219.27/219.54 [8818]~P107(x88181)+~P1(f319(f55(x88181),x88184))+~P1(f319(f319(f321(x88181),x88182),x88184))+P1(f319(f319(f226(x88181),f319(f319(f102(x88181),x88182),x88183)),f319(f319(f58(x88181,x88181,f102(x88181)),x88183),x88184))) % 219.27/219.54 [8819]~P4(x88191)+~P1(f319(f55(x88191),x88194))+~P1(f319(f319(f321(x88191),x88192),x88194))+P1(f319(f319(f226(x88191),f319(f319(f225(x88191),x88192),x88193)),f319(f319(f58(x88191,x88191,f225(x88191)),x88193),x88194))) % 219.27/219.54 [8972]~P1(f319(f55(x89721),x89722))+E(f319(f29(x89721),f319(f319(f23(f932(x89721,a923)),x89722),f319(f319(f301(x89721),x89723),x89724))),f319(f319(f23(a925),f319(f29(x89721),f319(f319(f23(f932(x89721,a923)),x89722),x89724))),f72(a925)))+P1(f319(f319(f321(x89721),x89723),x89724))+~P1(f319(f319(f321(x89721),x89723),x89722)) % 219.27/219.54 [9050]E(f319(f319(f74(a1),f383(x90501,x90502,x90503,x90504)),f384(x90501,x90502,x90503,x90504)),x90504)+~P1(f319(f319(f227(a1),f2(a1)),x90503))+~P1(f319(f319(f226(a1),x90504),x90501))+P1(f319(f319(f226(a1),f319(f319(f23(a1),x90504),x90503)),x90501)) % 219.27/219.54 [9051]E(f319(f319(f74(a1),f405(x90511,x90512,x90513,x90514)),f406(x90511,x90512,x90513,x90514)),x90514)+~P1(f319(f319(f227(a1),f2(a1)),x90513))+~P1(f319(f319(f227(a1),x90514),x90511))+P1(f319(f319(f227(a1),f319(f319(f23(a1),x90514),x90513)),x90511)) % 219.27/219.54 [9262]~P1(f319(f319(f227(a1),f2(a1)),x92623))+~P1(f319(f319(f226(a1),x92624),x92621))+P1(f319(f319(f321(a1),f383(x92621,x92622,x92623,x92624)),x92622))+P1(f319(f319(f226(a1),f319(f319(f23(a1),x92624),x92623)),x92621)) % 219.27/219.54 [9263]~P1(f319(f319(f227(a1),f2(a1)),x92633))+~P1(f319(f319(f227(a1),x92634),x92631))+P1(f319(f319(f321(a1),f405(x92631,x92632,x92633,x92634)),x92632))+P1(f319(f319(f227(a1),f319(f319(f23(a1),x92634),x92633)),x92631)) % 219.27/219.54 [9350]~P1(f319(f319(f227(a1),f2(a1)),x93502))+~P1(f319(f319(f226(a1),x93501),x93503))+P1(f319(f319(f321(a1),f384(x93503,x93504,x93502,x93501)),f295(a1,f72(a1),x93502)))+P1(f319(f319(f226(a1),f319(f319(f23(a1),x93501),x93502)),x93503)) % 219.27/219.54 [9351]~P1(f319(f319(f227(a1),f2(a1)),x93512))+~P1(f319(f319(f227(a1),x93511),x93513))+P1(f319(f319(f321(a1),f406(x93513,x93514,x93512,x93511)),f295(a1,f72(a1),x93512)))+P1(f319(f319(f227(a1),f319(f319(f23(a1),x93511),x93512)),x93513)) % 219.27/219.54 [9369]~P1(f319(f319(f226(a1),f2(a1)),x93694))+~P1(f319(f319(f227(a1),f2(a1)),x93693))+~P1(f319(f319(f227(a1),x93694),x93691))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),f319(f319(f75(a1),x93691),f39(a1,x93692,x93693))),x93694))) % 219.27/219.54 [9400]E(x94001,x94002)+~P40(x94003,x94004)+~P1(f319(f319(f321(f931(x94003,x94003)),f319(f319(f244(x94003,x94003),x94002),x94001)),x94004))+~P1(f319(f319(f321(f931(x94003,x94003)),f319(f319(f244(x94003,x94003),x94001),x94002)),x94004)) % 219.27/219.54 [9433]~P108(x94331)+~P1(f319(f55(x94331),x94334))+~P1(f319(f319(f226(x94331),x94332),f650(x94333,x94332,x94334,x94331)))+P1(f319(f319(f226(x94331),f319(f319(f93(x94331),x94332),x94333)),f319(f319(f58(x94331,x94331,f93(x94331)),x94333),x94334))) % 219.27/219.54 [9434]~P4(x94341)+~P1(f319(f55(x94341),x94344))+~P1(f319(f319(f226(x94341),x94342),f651(x94343,x94342,x94344,x94341)))+P1(f319(f319(f226(x94341),f319(f319(f224(x94341),x94342),x94343)),f319(f319(f58(x94341,x94341,f224(x94341)),x94343),x94344))) % 219.27/219.54 [9450]~P1(f319(f319(f226(a1),x94504),f2(a1)))+~P1(f319(f319(f227(a1),f2(a1)),x94502))+~P1(f319(f319(f227(a1),x94501),x94504))+P1(f319(f319(f227(a1),f319(f319(f75(a1),x94501),x94502)),f319(f319(f74(a1),f319(f319(f75(a1),x94501),f39(a1,x94503,x94502))),x94504))) % 219.27/219.54 [9475]P1(f319(f55(x94751),x94752))+~P1(f319(f55(x94751),x94753))+~P1(f319(f319(f321(f932(x94751,a923)),x94752),f319(f319(f54(x94751),x94753),x94754)))+~P1(f319(f319(f226(f932(f931(x94751,x94751),a923)),x94754),f319(f319(f246(x94751,x94751),x94753),f319(f16(f932(x94751,a923),x94751),x94753)))) % 219.27/219.54 [9500]~P4(x95001)+~P1(f319(f55(x95001),x95004))+P1(f319(f319(f321(x95001),f651(x95002,x95003,x95004,x95001)),x95004))+P1(f319(f319(f226(x95001),f319(f319(f224(x95001),x95003),x95002)),f319(f319(f58(x95001,x95001,f224(x95001)),x95002),x95004))) % 219.27/219.54 [9501]~P108(x95011)+~P1(f319(f55(x95011),x95014))+P1(f319(f319(f321(x95011),f650(x95012,x95013,x95014,x95011)),x95014))+P1(f319(f319(f226(x95011),f319(f319(f93(x95011),x95013),x95012)),f319(f319(f58(x95011,x95011,f93(x95011)),x95012),x95014))) % 219.27/219.54 [9513]~P41(f932(x95131,a923),f932(x95131,a923),x95133)+~P1(f319(f319(f321(x95131),x95132),x95134))+P1(f319(f319(f321(x95131),x95132),f88(f932(x95131,a923),x95133)))+~P1(f319(f319(f226(f932(x95131,a923)),x95134),f319(x95133,f319(f319(f102(f932(x95131,a923)),x95134),f88(f932(x95131,a923),x95133))))) % 219.27/219.54 [9696]~P41(f932(x96963,a923),f932(x96963,a923),x96964)+P1(f319(x96961,x96962))+~P1(f319(f319(f321(x96963),x96962),f87(f932(x96963,a923),x96964)))+P1(f319(f319(f321(x96963),f460(x96961,x96964,x96962,x96963)),f319(x96964,f319(f319(f93(f932(x96963,a923)),f87(f932(x96963,a923),x96964)),f319(f254(x96963),x96961))))) % 219.27/219.54 [9912]~P1(f319(f55(x99122),x99124))+~P1(f319(f55(x99121),x99123))+~P1(f319(f319(f226(a925),f319(f29(x99122),x99124)),f319(f29(x99121),x99123)))+P1(f319(f319(f226(f932(x99121,a923)),f319(f302(x99122,x99121,f422(x99123,x99121,x99124,x99122)),x99124)),x99123)) % 219.27/219.54 [9551]~P1(f319(f319(f321(x95511),x95512),x95514))+P1(f319(f319(f321(x95511),x95512),x95513))+~P1(f319(f319(f227(f932(x95511,a923)),x95514),f319(f319(f301(x95511),x95512),x95513)))+P1(f319(f319(f227(f932(x95511,a923)),f319(f319(f23(f932(x95511,a923)),x95514),f319(f319(f301(x95511),x95512),f180(f932(x95511,a923))))),x95513)) % 219.27/219.54 [9721]~P1(f319(f319(f321(x97211),x97212),x97214))+P1(f319(f319(f321(x97211),x97212),x97213))+P1(f319(f319(f227(f932(x97211,a923)),x97214),f319(f319(f301(x97211),x97212),x97213)))+~P1(f319(f319(f227(f932(x97211,a923)),f319(f319(f23(f932(x97211,a923)),x97214),f319(f319(f301(x97211),x97212),f180(f932(x97211,a923))))),x97213)) % 219.27/219.54 [9746]P1(f319(f319(f321(x97461),x97462),x97463))+~P1(f319(f319(f226(f932(x97461,a923)),x97464),x97463))+P1(f319(f319(f227(f932(x97461,a923)),x97464),f319(f319(f301(x97461),x97462),x97463)))+~P1(f319(f319(f227(f932(x97461,a923)),f319(f319(f23(f932(x97461,a923)),x97464),f319(f319(f301(x97461),x97462),f180(f932(x97461,a923))))),x97463)) % 219.27/219.54 [9751]~P1(f319(f319(f321(x97511),x97513),x97512))+~P1(f319(f319(f227(f932(x97511,a923)),x97512),x97514))+P1(f319(f319(f227(f932(x97511,a923)),x97512),f319(f319(f301(x97511),x97513),x97514)))+~P1(f319(f319(f227(f932(x97511,a923)),f319(f319(f23(f932(x97511,a923)),x97512),f319(f319(f301(x97511),x97513),f180(f932(x97511,a923))))),x97514)) % 219.27/219.54 [9767]~P1(f319(f319(f226(f932(x97671,a923)),x97672),x97674))+~P1(f319(f319(f227(f932(x97671,a923)),x97672),x97674))+P1(f319(f319(f227(f932(x97671,a923)),x97672),f319(f319(f301(x97671),x97673),x97674)))+~P1(f319(f319(f227(f932(x97671,a923)),f319(f319(f23(f932(x97671,a923)),x97672),f319(f319(f301(x97671),x97673),f180(f932(x97671,a923))))),x97674)) % 219.27/219.54 [9814]~P113(x98142)+~P5(x98141)+~P1(f319(f319(f226(f932(x98141,x98142)),x98143),x98144))+P1(f319(f51(x98141),f319(f319(f18(x98141,x98142,a923),f319(f319(f8(x98142,f932(x98142,a923),x98141),f226(x98142)),x98143)),x98144))) % 219.27/219.54 [9967]~P113(x99672)+~P5(x99671)+P1(f319(f319(f226(f932(x99671,x99672)),x99673),x99674))+~P1(f319(f51(x99671),f319(f319(f18(x99671,x99672,a923),f319(f319(f8(x99672,f932(x99672,a923),x99671),f226(x99672)),x99673)),x99674))) % 219.27/219.54 [10485]~P41(f932(x104851,a923),f932(x104851,a923),x104853)+~P1(f319(f319(f321(x104851),x104852),x104854))+P1(f319(f319(f321(x104851),x104852),f88(f932(x104851,a923),x104853)))+~P1(f319(f319(f226(f932(x104851,a923)),x104854),f319(x104853,f87(f932(x104851,a923),f319(f319(f7(f932(x104851,a923),f932(x104851,a923),f932(x104851,a923)),f319(f319(f8(f932(x104851,a923),f932(f932(x104851,a923),f932(x104851,a923)),f932(x104851,a923)),f102(f932(x104851,a923))),f319(f319(f7(f932(x104851,a923),f932(x104851,a923),f932(x104851,a923)),f319(f319(f8(f932(x104851,a923),f932(f932(x104851,a923),f932(x104851,a923)),f932(x104851,a923)),f102(f932(x104851,a923))),x104853)),x104854))),f88(f932(x104851,a923),x104853)))))) % 219.27/219.54 [10144]E(f319(f319(f156(x101441),f319(f319(f156(f926(x101441)),f171(x101441,x101442)),x101443)),x101444),f319(f319(f156(x101441),f319(f319(f156(f926(x101441)),x101442),x101444)),x101443))+~P1(f319(f319(f227(a925),x101443),f319(f181(f926(f926(x101441))),f171(x101441,x101442))))+~P14(a925,f319(f160(a925),f319(f319(f146(f926(x101441),a925),f181(f926(x101441))),x101442)))+~P1(f319(f319(f227(a925),x101444),f319(f181(f926(f926(x101441))),f319(f128(f926(x101441),f319(f319(f8(a925,a923,f926(x101441)),f319(f227(a925),x101443)),f181(f926(x101441)))),x101442)))) % 219.27/219.54 [10165]~P1(f319(f319(f321(f931(a925,a925)),x101654),x101651))+~P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),x101654),x101652)),a26))+~P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x101651),x101653)),a27))+P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x101651),f319(f319(f301(f931(a925,a925)),x101652),x101653))),a27)) % 219.27/219.54 [10166]~P1(f319(f319(f321(f931(a925,a925)),x101664),x101661))+~P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),x101664),x101662)),a64))+~P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x101661),x101663)),a65))+P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x101661),f319(f319(f301(f931(a925,a925)),x101662),x101663))),a65)) % 219.27/219.54 [10053]~P113(x100532)+~P5(x100531)+~P1(f319(f319(f227(f932(x100531,x100532)),x100533),x100534))+P1(f319(f50(x100531),f319(f319(f8(a923,a923,x100531),a314),f319(f319(f18(x100531,x100532,a923),f319(f319(f8(x100532,f932(x100532,a923),x100531),a316),x100533)),x100534)))) % 219.27/219.54 [10177]~P1(f319(f319(f321(f931(a925,a925)),x101774),x101773))+~P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),x101771),x101774)),a26))+~P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x101772),x101773)),a28))+P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),f319(f319(f301(f931(a925,a925)),x101771),x101772)),x101773)),a28)) % 219.27/219.54 [10178]~P1(f319(f319(f321(f931(a925,a925)),x101784),x101783))+~P1(f319(f319(f321(f931(f931(a925,a925),f931(a925,a925))),f319(f319(f244(f931(a925,a925),f931(a925,a925)),x101781),x101784)),a64))+~P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x101782),x101783)),a63))+P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),f319(f319(f301(f931(a925,a925)),x101781),x101782)),x101783)),a63)) % 219.27/219.54 [6255]~P8(x62554,x62551)+~P1(f319(f319(x62551,x62552),x62555))+P1(f319(f319(x62551,x62552),x62553))+~P1(f319(f319(x62551,x62555),x62553)) % 219.27/219.54 [6256]~P54(x62564,x62561)+~P1(f319(f319(x62561,x62562),x62565))+P1(f319(f319(x62561,x62562),x62563))+~P1(f319(f319(x62561,x62565),x62563)) % 219.27/219.54 [6257]~P16(x62574,x62571)+~P1(f319(f319(x62571,x62572),x62575))+P1(f319(f319(x62571,x62572),x62573))+~P1(f319(f319(x62571,x62575),x62573)) % 219.27/219.54 [8957]~P8(x89574,x89573)+~P1(f319(x89571,x89575))+P1(f319(x89572,f847(x89572,x89571,x89573,x89574)))+P1(f319(x89571,f846(x89572,x89571,x89573,x89574))) % 219.27/219.54 [9197]~P8(x91974,x91973)+~P1(f319(x91972,x91975))+~P1(f319(x91971,f846(x91971,x91972,x91973,x91974)))+P1(f319(x91971,f847(x91971,x91972,x91973,x91974))) % 219.27/219.54 [9382]~P8(x93824,x93823)+~P1(f319(x93821,x93825))+P1(f319(f319(f321(x93824),f847(x93822,x93821,x93823,x93824)),f262(x93824,x93823)))+P1(f319(x93821,f846(x93822,x93821,x93823,x93824))) % 219.27/219.54 [9507]~P8(x95071,x95074)+~P1(f319(x95073,x95075))+~P1(f319(x95072,f846(x95072,x95073,x95074,x95071)))+P1(f319(f319(f321(x95071),f847(x95072,x95073,x95074,x95071)),f262(x95071,x95074))) % 219.27/219.54 [9803]~P39(x98031,x98034)+P1(f319(f319(f321(f931(f926(x98031),f926(x98031))),f319(f319(f244(f926(x98031),f926(x98031)),x98032),x98033)),f139(x98031,x98034)))+~P1(f319(f319(f321(f931(f926(x98031),f926(x98031))),f319(f319(f244(f926(x98031),f926(x98031)),x98032),x98035)),f139(x98031,x98034)))+~P1(f319(f319(f321(f931(f926(x98031),f926(x98031))),f319(f319(f244(f926(x98031),f926(x98031)),x98035),x98033)),f139(x98031,x98034))) % 219.27/219.54 [5493]~P70(x54935)+E(x54931,x54932)+~E(x54933,x54934)+~E(f319(f319(f23(x54935),x54933),x54934),f319(f319(f23(x54935),x54931),x54932)) % 219.27/219.54 [6366]~P18(x63665,x63661,x63663)+E(f319(f319(x63661,x63662),f319(x63663,x63664)),f319(x63663,x63664))+~P1(f319(f55(x63665),x63664))+~P1(f319(f319(f321(x63665),x63662),x63664)) % 219.27/219.54 [6555]~P68(x65551)+~E(f319(f319(f23(x65551),x65554),x65555),f319(f319(f23(x65551),x65552),x65553))+~P1(f319(f319(f226(x65551),x65554),x65555))+P1(f319(f319(f226(x65551),x65552),x65553)) % 219.27/219.54 [6557]~P68(x65571)+~E(f319(f319(f23(x65571),x65574),x65575),f319(f319(f23(x65571),x65572),x65573))+~P1(f319(f319(f227(x65571),x65574),x65575))+P1(f319(f319(f227(x65571),x65572),x65573)) % 219.27/219.54 [7540]~E(x75402,f319(f319(f143(x75401),x75404),x75405))+P1(f319(f319(f321(f926(x75401)),x75402),f153(x75401,x75403)))+~P1(f319(f319(f321(f926(x75401)),x75405),f153(x75401,x75403)))+~P1(f319(f319(f321(x75401),x75404),x75403)) % 219.27/219.54 [7940]~E(f319(f181(f926(x79401)),x79403),f319(f181(f926(x79402)),x79404))+~E(f319(f319(f146(f931(x79401,x79402),x79402),f248(x79401,x79402)),x79405),x79404)+~E(f319(f319(f146(f931(x79401,x79402),x79401),f243(x79401,x79402)),x79405),x79403)+E(f319(f319(f173(x79401,x79402),x79403),x79404),x79405) % 219.27/219.54 [8276]~P113(x82761)+P1(f319(f319(f227(f932(x82761,a923)),f295(x82761,x82762,x82763)),f295(x82761,x82764,x82765)))+~P1(f319(f319(f226(x82761),x82764),x82765))+P1(f319(f319(f226(x82761),x82762),x82763)) % 219.27/219.54 [8375]~P113(x83751)+P1(f319(f319(f226(f932(x83751,a923)),f295(x83751,x83752,x83753)),f295(x83751,x83754,x83755)))+~P1(f319(f319(f226(x83751),x83753),x83755))+~P1(f319(f319(f226(x83751),x83754),x83752)) % 219.27/219.54 [8495]~P4(x84951)+P1(f319(f319(f226(x84951),x84952),x84953))+P1(f319(f319(f226(x84951),x84954),x84953))+~P1(f319(f319(f226(f932(x84951,a923)),f319(f294(x84951,x84953),x84952)),f319(f294(x84951,x84954),x84955))) % 219.27/219.54 [8496]~P4(x84961)+P1(f319(f319(f226(x84961),x84962),x84963))+P1(f319(f319(f226(x84961),x84962),x84964))+~P1(f319(f319(f226(f932(x84961,a923)),f319(f294(x84961,x84963),x84962)),f319(f294(x84961,x84965),x84964))) % 219.27/219.54 [8666]~P108(x86663)+~P108(x86661)+~P41(x86663,x86661,x86662)+P1(f319(f319(f226(x86661),f319(x86662,f319(f319(f93(x86663),x86664),x86665))),f319(f319(f93(x86661),f319(x86662,x86664)),f319(x86662,x86665)))) % 219.27/219.54 [8667]~P4(x86673)+~P108(x86671)+~P41(x86673,x86671,x86672)+P1(f319(f319(f226(x86671),f319(x86672,f319(f319(f224(x86673),x86674),x86675))),f319(f319(f93(x86671),f319(x86672,x86674)),f319(x86672,x86675)))) % 219.27/219.54 [8734]~P113(x87341)+~P1(f319(f319(f226(f932(x87341,a923)),f295(x87341,x87344,x87342)),f295(x87341,x87345,x87343)))+P1(f319(f319(f226(x87341),x87342),x87343))+~P1(f319(f319(f226(x87341),x87344),x87342)) % 219.27/219.54 [8735]~P113(x87351)+~P1(f319(f319(f227(f932(x87351,a923)),f295(x87351,x87354,x87352)),f295(x87351,x87355,x87353)))+P1(f319(f319(f226(x87351),x87352),x87353))+~P1(f319(f319(f226(x87351),x87354),x87352)) % 219.27/219.54 [8736]~P113(x87361)+~P1(f319(f319(f226(f932(x87361,a923)),f295(x87361,x87363,x87364)),f295(x87361,x87362,x87365)))+P1(f319(f319(f226(x87361),x87362),x87363))+~P1(f319(f319(f226(x87361),x87363),x87364)) % 219.27/219.54 [8737]~P113(x87371)+~P1(f319(f319(f227(f932(x87371,a923)),f295(x87371,x87373,x87374)),f295(x87371,x87372,x87375)))+P1(f319(f319(f226(x87371),x87372),x87373))+~P1(f319(f319(f226(x87371),x87373),x87374)) % 219.27/219.54 [6202]~P4(x62025)+~P4(x62021)+~P41(x62025,x62021,x62022)+E(f319(f319(f224(x62021),f319(x62022,x62023)),f319(x62022,x62024)),f319(x62022,f319(f319(f224(x62025),x62023),x62024))) % 219.27/219.54 [6203]~P4(x62035)+~P4(x62031)+~P41(x62035,x62031,x62032)+E(f319(f319(f225(x62031),f319(x62032,x62033)),f319(x62032,x62034)),f319(x62032,f319(f319(f225(x62035),x62033),x62034))) % 219.27/219.54 [6254]~P18(x62542,x62545,x62543)+E(x62541,f180(f932(x62542,a923)))+~P1(f319(f55(x62542),x62541))+E(f319(x62543,f319(f319(f301(x62542),x62544),x62541)),f319(f319(x62545,x62544),f319(x62543,x62541))) % 219.27/219.54 [7032]~E(x70321,x70322)+~E(f319(f319(f93(f932(x70323,a923)),x70324),x70325),f180(f932(x70323,a923)))+~P1(f319(f319(f321(x70323),x70322),x70325))+~P1(f319(f319(f321(x70323),x70321),x70324)) % 219.27/219.54 [7115]~P19(x71152,x71155,x71151)+~P1(f319(f55(x71152),x71154))+E(f319(x71151,f319(f319(f301(x71152),x71153),x71154)),f319(f319(f58(x71152,x71152,x71155),x71153),x71154))+P1(f319(f319(f321(x71152),x71153),x71154)) % 219.27/219.54 [7181]~P79(x71812)+~P1(f319(f55(x71811),x71815))+E(f319(f319(f6(x71811,x71812),x71813),f319(f319(f301(x71811),x71814),x71815)),f319(f319(f74(x71812),f319(x71813,x71814)),f319(f319(f6(x71811,x71812),x71813),x71815)))+P1(f319(f319(f321(x71811),x71814),x71815)) % 219.27/219.54 [7183]~P78(x71832)+~P1(f319(f55(x71831),x71835))+E(f319(f319(f9(x71831,x71832),x71833),f319(f319(f301(x71831),x71834),x71835)),f319(f319(f75(x71832),f319(x71833,x71834)),f319(f319(f9(x71831,x71832),x71833),x71835)))+P1(f319(f319(f321(x71831),x71834),x71835)) % 219.27/219.54 [7684]~P19(x76842,x76845,x76841)+~P1(f319(f55(x76842),x76844))+E(f319(x76841,f319(f319(f301(x76842),x76843),x76844)),x76843)+~E(f319(f319(f23(f932(x76842,a923)),x76844),f319(f319(f301(x76842),x76843),f180(f932(x76842,a923)))),f180(f932(x76842,a923))) % 219.27/219.54 [8040]~P65(x80401)+E(f319(f319(f30(x80401),f319(f319(f75(x80401),x80402),x80403)),f319(f319(f75(x80401),x80404),x80405)),f319(f319(f75(x80401),f319(f319(f30(x80401),x80402),x80404)),f319(f319(f30(x80401),x80403),x80405)))+~P1(f319(f319(f279(x80401),x80405),x80403))+~P1(f319(f319(f279(x80401),x80404),x80402)) % 219.27/219.54 [8044]~P107(x80441)+~P1(f319(f319(f226(x80441),x80443),x80445))+~P1(f319(f319(f226(x80441),x80442),x80444))+P1(f319(f319(f226(x80441),f319(f319(f102(x80441),x80442),x80443)),f319(f319(f102(x80441),x80444),x80445))) % 219.27/219.54 [8045]~P108(x80451)+~P1(f319(f319(f226(x80451),x80453),x80455))+~P1(f319(f319(f226(x80451),x80452),x80454))+P1(f319(f319(f226(x80451),f319(f319(f93(x80451),x80452),x80453)),f319(f319(f93(x80451),x80454),x80455))) % 219.27/219.54 [8046]~P91(x80461)+~P1(f319(f319(f226(x80461),x80463),x80465))+~P1(f319(f319(f226(x80461),x80462),x80464))+P1(f319(f319(f226(x80461),f319(f319(f74(x80461),x80462),x80463)),f319(f319(f74(x80461),x80464),x80465))) % 219.27/219.54 [8047]~P4(x80471)+~P1(f319(f319(f226(x80471),x80473),x80475))+~P1(f319(f319(f226(x80471),x80472),x80474))+P1(f319(f319(f226(x80471),f319(f319(f224(x80471),x80472),x80473)),f319(f319(f224(x80471),x80474),x80475))) % 219.27/219.54 [8048]~P4(x80481)+~P1(f319(f319(f226(x80481),x80483),x80485))+~P1(f319(f319(f226(x80481),x80482),x80484))+P1(f319(f319(f226(x80481),f319(f319(f225(x80481),x80482),x80483)),f319(f319(f225(x80481),x80484),x80485))) % 219.27/219.54 [8049]~P89(x80491)+~P1(f319(f319(f226(x80491),x80493),x80495))+~P1(f319(f319(f227(x80491),x80492),x80494))+P1(f319(f319(f227(x80491),f319(f319(f74(x80491),x80492),x80493)),f319(f319(f74(x80491),x80494),x80495))) % 219.27/219.54 [8050]~P89(x80501)+~P1(f319(f319(f226(x80501),x80502),x80504))+~P1(f319(f319(f227(x80501),x80503),x80505))+P1(f319(f319(f227(x80501),f319(f319(f74(x80501),x80502),x80503)),f319(f319(f74(x80501),x80504),x80505))) % 219.27/219.54 [8051]~P89(x80511)+~P1(f319(f319(f227(x80511),x80513),x80515))+~P1(f319(f319(f227(x80511),x80512),x80514))+P1(f319(f319(f227(x80511),f319(f319(f74(x80511),x80512),x80513)),f319(f319(f74(x80511),x80514),x80515))) % 219.27/219.54 [8052]~P121(x80521)+~P1(f319(f319(f279(x80521),x80523),x80525))+~P1(f319(f319(f279(x80521),x80522),x80524))+P1(f319(f319(f279(x80521),f319(f319(f75(x80521),x80522),x80523)),f319(f319(f75(x80521),x80524),x80525))) % 219.27/219.54 [8191]~P148(x81915)+E(x81911,x81912)+E(x81913,x81914)+~E(f319(f319(f74(x81915),f319(f319(f75(x81915),x81913),x81911)),f319(f319(f75(x81915),x81914),x81912)),f319(f319(f74(x81915),f319(f319(f75(x81915),x81913),x81912)),f319(f319(f75(x81915),x81914),x81911))) % 219.27/219.54 [8396]~P4(x83964)+~P1(f319(f129(x83961),x83963))+P1(f319(f319(f321(x83961),x83962),f319(f164(x83961),x83963)))+P1(f319(f129(x83961),f319(f319(f140(x83961,x83964,x83965),x83962),x83963))) % 219.27/219.54 [8543]~P70(x85431)+E(f319(f319(f23(x85431),f319(f319(f6(a925,x85431),x85432),f319(f294(a925,x85433),x85434))),f319(f319(f6(a925,x85431),x85432),f319(f294(a925,x85433),x85435))),f319(f319(f6(a925,x85431),x85432),f319(f294(a925,x85435),x85434)))+~P1(f319(f319(f226(a925),x85435),x85434))+~P1(f319(f319(f226(a925),x85433),x85435)) % 219.27/219.54 [8544]~P79(x85441)+E(f319(f319(f74(x85441),f319(f319(f6(a925,x85441),x85442),f319(f294(a925,x85443),x85444))),f319(f319(f6(a925,x85441),x85442),f319(f294(a925,x85444),x85445))),f319(f319(f6(a925,x85441),x85442),f319(f294(a925,x85443),x85445)))+~P1(f319(f319(f226(a925),x85444),x85445))+~P1(f319(f319(f226(a925),x85443),x85444)) % 219.27/219.54 [8878]~P73(x88782)+E(x88781,f2(x88782))+E(x88783,f2(x88782))+E(f319(f319(f283(x88782),f319(f319(f23(x88782),f319(f319(f75(x88782),x88784),x88781)),f319(f319(f75(x88782),x88785),x88783))),f319(f319(f75(x88782),x88783),x88781)),f319(f319(f23(x88782),f319(f319(f283(x88782),x88784),x88783)),f319(f319(f283(x88782),x88785),x88781))) % 219.27/219.54 [8879]~P73(x88792)+E(x88791,f2(x88792))+E(x88793,f2(x88792))+E(f319(f319(f283(x88792),f319(f319(f74(x88792),f319(f319(f75(x88792),x88794),x88791)),f319(f319(f75(x88792),x88795),x88793))),f319(f319(f75(x88792),x88793),x88791)),f319(f319(f74(x88792),f319(f319(f283(x88792),x88794),x88793)),f319(f319(f283(x88792),x88795),x88791))) % 219.27/219.54 [8888]~E(x88882,f319(x88883,x88881))+E(x88881,f892(x88882,x88883,x88884,x88885))+~P26(x88885,x88884,x88883,f234(f932(x88885,a923)))+~P1(f319(f319(f321(x88884),x88882),f319(f302(x88885,x88884,x88883),f234(f932(x88885,a923))))) % 219.27/219.54 [9107]~P126(x91071)+~P1(f319(f319(f227(x91071),f319(f69(x91071),x91072)),x91074))+P1(f319(f319(f227(x91071),f319(f319(f75(x91071),f319(f69(x91071),x91072)),f319(f69(x91071),x91073))),f319(f319(f75(x91071),x91074),x91075)))+~P1(f319(f319(f227(x91071),f319(f69(x91071),x91073)),x91075)) % 219.27/219.54 [9223]~P26(x92231,x92233,x92235,x92232)+~P1(f319(f55(x92233),x92234))+P1(f319(f319(f226(a925),f319(f29(x92231),x92232)),f319(f29(x92233),x92234)))+~P1(f319(f319(f226(f932(x92233,a923)),f319(f302(x92231,x92233,x92235),x92232)),x92234)) % 219.27/219.54 [9291]~P79(x92912)+~P26(x92911,x92911,x92914,x92915)+~P1(f319(f55(x92911),x92915))+E(f319(f319(f6(x92911,x92912),f319(f66(x92911,x92912,x92911,x92913),x92914)),x92915),f319(f319(f6(x92911,x92912),x92913),f319(f302(x92911,x92911,x92914),x92915))) % 219.27/219.54 [9292]~P78(x92922)+~P26(x92921,x92921,x92924,x92925)+~P1(f319(f55(x92921),x92925))+E(f319(f319(f9(x92921,x92922),f319(f66(x92921,x92922,x92921,x92923),x92924)),x92925),f319(f319(f9(x92921,x92922),x92923),f319(f302(x92921,x92921,x92924),x92925))) % 219.27/219.54 [9412]~P38(x94121,x94122)+~P1(f319(f319(f321(x94121),x94123),x94124))+~P1(f319(f319(f321(x94121),x94125),x94124))+~P1(f319(f319(f321(f931(x94121,x94121)),f319(f319(f244(x94121,x94121),x94125),f630(x94122,x94121,x94124))),x94122)) % 219.27/219.54 [9449]~P26(x94492,x94493,x94495,x94491)+E(x94491,f180(f932(x94492,a923)))+E(f319(f302(x94493,x94492,f894(x94494,x94493,x94492,x94491)),x94494),x94491)+~P1(f319(f319(f226(f932(x94493,a923)),f319(f302(x94492,x94493,x94495),x94491)),x94494)) % 219.27/219.54 [9943]~P4(x99435)+~P6(x99435)+P1(f319(f319(f321(x99431),f886(x99432,x99433,x99431,x99434,x99435)),x99433))+~P1(f319(f319(f227(x99435),x99434),f319(f319(f33(x99431,x99435),x99433),x99432))) % 219.27/219.54 [9949]~P4(x99491)+~P6(x99491)+P1(f319(f319(f227(x99491),x99492),f319(x99493,f886(x99493,x99494,x99495,x99492,x99491))))+~P1(f319(f319(f227(x99491),x99492),f319(f319(f33(x99495,x99491),x99494),x99493))) % 219.27/219.54 [10038]~P76(x100381)+~P1(f319(f60(x100381,x100381,f75(x100381),x100382,x100383),x100385))+P1(f319(f319(f321(x100381),x100382),x100383))+P1(f319(f60(x100381,x100381,f75(x100381),x100384,f319(f319(f301(x100381),x100382),x100383)),f319(f319(f75(x100381),x100384),x100385))) % 219.27/219.54 [10258]~P79(x102582)+~P1(f319(f55(x102581),x102585))+E(f319(f319(f6(x102581,x102582),f319(f319(f7(x102581,x102582,x102582),f319(f319(f18(x102581,x102582,f932(x102582,x102582)),f319(f319(f8(a923,f932(x102582,f932(x102582,x102582)),x102581),f86(x102582)),f319(a316,x102583))),x102584)),f2(x102582))),x102585),f2(x102582))+P1(f319(f319(f321(x102581),x102583),x102585)) % 219.27/219.54 [10259]~P78(x102592)+~P1(f319(f55(x102591),x102595))+E(f319(f319(f9(x102591,x102592),f319(f319(f7(x102591,x102592,x102592),f319(f319(f18(x102591,x102592,f932(x102592,x102592)),f319(f319(f8(a923,f932(x102592,f932(x102592,x102592)),x102591),f86(x102592)),f319(a316,x102593))),x102594)),f72(x102592))),x102595),f72(x102592))+P1(f319(f319(f321(x102591),x102593),x102595)) % 219.27/219.54 [10260]~P79(x102602)+~P1(f319(f55(x102601),x102605))+E(f319(f319(f6(x102601,x102602),f319(f319(f7(x102601,x102602,x102602),f319(f319(f18(x102601,x102602,f932(x102602,x102602)),f319(f319(f8(a923,f932(x102602,f932(x102602,x102602)),x102601),f86(x102602)),f319(a316,x102603))),x102604)),f2(x102602))),x102605),f319(x102604,x102603))+~P1(f319(f319(f321(x102601),x102603),x102605)) % 219.27/219.54 [10261]~P78(x102612)+~P1(f319(f55(x102611),x102615))+E(f319(f319(f9(x102611,x102612),f319(f319(f7(x102611,x102612,x102612),f319(f319(f18(x102611,x102612,f932(x102612,x102612)),f319(f319(f8(a923,f932(x102612,f932(x102612,x102612)),x102611),f86(x102612)),f319(a316,x102613))),x102614)),f72(x102612))),x102615),f319(x102614,x102613))+~P1(f319(f319(f321(x102611),x102613),x102615)) % 219.27/219.54 [10321]~P79(x103212)+~P1(f319(f55(x103211),x103215))+E(f319(f319(f6(x103211,x103212),f319(f319(f7(x103211,x103212,x103212),f319(f319(f18(x103211,x103212,f932(x103212,x103212)),f319(f319(f8(a923,f932(x103212,f932(x103212,x103212)),x103211),f86(x103212)),f319(f319(f7(x103211,x103211,a923),a316),x103213))),x103214)),f2(x103212))),x103215),f2(x103212))+P1(f319(f319(f321(x103211),x103213),x103215)) % 219.27/219.54 [10322]~P78(x103222)+~P1(f319(f55(x103221),x103225))+E(f319(f319(f9(x103221,x103222),f319(f319(f7(x103221,x103222,x103222),f319(f319(f18(x103221,x103222,f932(x103222,x103222)),f319(f319(f8(a923,f932(x103222,f932(x103222,x103222)),x103221),f86(x103222)),f319(f319(f7(x103221,x103221,a923),a316),x103223))),x103224)),f72(x103222))),x103225),f72(x103222))+P1(f319(f319(f321(x103221),x103223),x103225)) % 219.27/219.54 [10324]~P79(x103242)+~P1(f319(f55(x103241),x103245))+E(f319(f319(f6(x103241,x103242),f319(f319(f7(x103241,x103242,x103242),f319(f319(f18(x103241,x103242,f932(x103242,x103242)),f319(f319(f8(a923,f932(x103242,f932(x103242,x103242)),x103241),f86(x103242)),f319(f319(f7(x103241,x103241,a923),a316),x103243))),x103244)),f2(x103242))),x103245),f319(x103244,x103243))+~P1(f319(f319(f321(x103241),x103243),x103245)) % 219.27/219.54 [10325]~P78(x103252)+~P1(f319(f55(x103251),x103255))+E(f319(f319(f9(x103251,x103252),f319(f319(f7(x103251,x103252,x103252),f319(f319(f18(x103251,x103252,f932(x103252,x103252)),f319(f319(f8(a923,f932(x103252,f932(x103252,x103252)),x103251),f86(x103252)),f319(f319(f7(x103251,x103251,a923),a316),x103253))),x103254)),f72(x103252))),x103255),f319(x103254,x103253))+~P1(f319(f319(f321(x103251),x103253),x103255)) % 219.27/219.54 [8043]~P70(x80432)+~P1(f319(f55(x80431),x80434))+E(f319(f319(f6(x80431,x80432),x80433),f319(f319(f23(f932(x80431,a923)),x80434),f319(f319(f301(x80431),x80435),f180(f932(x80431,a923))))),f319(f319(f6(x80431,x80432),x80433),x80434))+P1(f319(f319(f321(x80431),x80435),x80434)) % 219.27/219.54 [8552]~P116(x85522)+~P1(f319(f55(x85521),x85524))+E(f319(f319(f6(x85521,x85522),x85523),f319(f319(f23(f932(x85521,a923)),x85524),f319(f319(f301(x85521),x85525),f180(f932(x85521,a923))))),f319(f319(f23(x85522),f319(f319(f6(x85521,x85522),x85523),x85524)),f319(x85523,x85525)))+~P1(f319(f319(f321(x85521),x85525),x85524)) % 219.27/219.54 [8553]~P70(x85532)+~P1(f319(f55(x85531),x85534))+E(f319(f319(f6(x85531,x85532),x85533),f319(f319(f23(f932(x85531,a923)),x85534),f319(f319(f301(x85531),x85535),f180(f932(x85531,a923))))),f319(f319(f23(x85532),f319(f319(f6(x85531,x85532),x85533),x85534)),f319(x85533,x85535)))+~P1(f319(f319(f321(x85531),x85535),x85534)) % 219.27/219.54 [8582]~P70(x85821)+~P1(f319(f55(x85822),x85824))+E(f319(f319(f23(x85821),f319(f319(f6(x85822,x85821),x85823),x85824)),f319(f319(f6(x85822,x85821),x85823),x85825)),f319(f319(f6(x85822,x85821),x85823),f319(f319(f23(f932(x85822,a923)),x85824),x85825)))+~P1(f319(f319(f226(f932(x85822,a923)),x85825),x85824)) % 219.27/219.54 [8601]P1(f319(f55(x86011),f319(x86012,x86013)))+~P1(f319(f55(x86014),x86015))+~P1(f319(f319(f321(x86014),x86013),x86015))+~P1(f319(f55(x86011),f319(f319(f33(x86014,f932(x86011,a923)),x86015),x86012))) % 219.27/219.54 [8715]~P107(x87155)+~P107(x87151)+~P41(x87155,x87151,x87152)+P1(f319(f319(f226(x87151),f319(f319(f102(x87151),f319(x87152,x87153)),f319(x87152,x87154))),f319(x87152,f319(f319(f102(x87155),x87153),x87154)))) % 219.27/219.54 [8716]~P4(x87165)+~P107(x87161)+~P41(x87165,x87161,x87162)+P1(f319(f319(f226(x87161),f319(f319(f102(x87161),f319(x87162,x87163)),f319(x87162,x87164))),f319(x87162,f319(f319(f225(x87165),x87163),x87164)))) % 219.27/219.54 [9062]~P9(x90621,x90625,x90624)+~E(f319(f277(x90621,x90621,x90624),f319(f319(f301(x90621),x90622),f180(f932(x90621,a923)))),f319(f277(x90621,x90621,x90624),f319(f319(f301(x90621),x90623),f180(f932(x90621,a923)))))+~P1(f319(f319(f321(x90621),x90623),x90625))+P1(f319(f319(f321(f931(x90621,x90621)),f319(f319(f244(x90621,x90621),x90622),x90623)),x90624)) % 219.27/219.54 [9367]~P1(f319(x93671,x93675))+P1(f319(x93671,f614(x93671,x93672,x93673,x93674)))+P1(f319(x93671,f602(x93671,x93672,x93673,x93674)))+~P1(f319(f319(f321(x93674),x93675),f319(f319(f102(f932(x93674,a923)),x93673),x93672))) % 219.27/219.54 [9556]~P1(f319(x95561,x95565))+P1(f319(x95561,f602(x95561,x95562,x95563,x95564)))+P1(f319(f319(f321(x95564),f614(x95561,x95562,x95563,x95564)),x95562))+~P1(f319(f319(f321(x95564),x95565),f319(f319(f102(f932(x95564,a923)),x95563),x95562))) % 219.27/219.54 [9557]~P1(f319(x95571,x95575))+P1(f319(x95571,f614(x95571,x95572,x95573,x95574)))+P1(f319(f319(f321(x95574),f602(x95571,x95572,x95573,x95574)),x95573))+~P1(f319(f319(f321(x95574),x95575),f319(f319(f102(f932(x95574,a923)),x95573),x95572))) % 219.27/219.54 [9561]P1(f319(x95611,x95612))+~P1(f319(x95611,f592(x95611,x95613,x95614,x95615)))+~P1(f319(x95611,f579(x95611,x95613,x95614,x95615)))+~P1(f319(f319(f321(x95615),x95612),f319(f319(f102(f932(x95615,a923)),x95614),x95613))) % 219.27/219.54 [9566]~P39(x95661,x95664)+~P1(f319(f319(f321(f931(x95661,x95661)),f319(f319(f244(x95661,x95661),x95662),x95665)),x95664))+P1(f319(f319(f321(f931(x95661,x95661)),f319(f319(f244(x95661,x95661),x95662),x95663)),x95664))+~P1(f319(f319(f321(f931(x95661,x95661)),f319(f319(f244(x95661,x95661),x95665),x95663)),x95664)) % 219.27/219.54 [9605]E(x96051,x96052)+~P1(f319(f319(f321(f931(x96053,x96053)),f319(f319(f244(x96053,x96053),x96051),x96052)),f299(x96053,x96055)))+P1(f319(f319(f321(x96053),x96051),x96054))+~P1(f319(f319(f226(f932(f931(x96053,x96053),a923)),x96055),f319(f319(f246(x96053,x96053),x96054),f319(f16(f932(x96053,a923),x96053),x96054)))) % 219.27/219.54 [9623]P1(f319(x96231,x96232))+~P1(f319(x96231,f579(x96231,x96234,x96235,x96233)))+P1(f319(f319(f321(x96233),f592(x96231,x96234,x96235,x96233)),x96234))+~P1(f319(f319(f321(x96233),x96232),f319(f319(f102(f932(x96233,a923)),x96235),x96234))) % 219.27/219.54 [9624]P1(f319(x96241,x96242))+~P1(f319(x96241,f592(x96241,x96244,x96245,x96243)))+P1(f319(f319(f321(x96243),f579(x96241,x96244,x96245,x96243)),x96245))+~P1(f319(f319(f321(x96243),x96242),f319(f319(f102(f932(x96243,a923)),x96245),x96244))) % 219.27/219.54 [9692]P1(f319(x96921,x96922))+P1(f319(f319(f321(x96923),f592(x96921,x96924,x96925,x96923)),x96924))+P1(f319(f319(f321(x96923),f579(x96921,x96924,x96925,x96923)),x96925))+~P1(f319(f319(f321(x96923),x96922),f319(f319(f102(f932(x96923,a923)),x96925),x96924))) % 219.27/219.54 [9694]~P1(f319(x96942,x96945))+P1(f319(f319(f321(x96941),f614(x96942,x96943,x96944,x96941)),x96943))+P1(f319(f319(f321(x96941),f602(x96942,x96943,x96944,x96941)),x96944))+~P1(f319(f319(f321(x96941),x96945),f319(f319(f102(f932(x96941,a923)),x96944),x96943))) % 219.27/219.54 [9845]~P9(x98451,x98455,x98454)+~P1(f319(f319(f321(x98451),x98453),x98455))+P1(f319(f319(f321(f931(x98451,x98451)),f319(f319(f244(x98451,x98451),x98452),x98453)),x98454))+~P1(f319(f319(f226(f932(x98451,a923)),f319(f277(x98451,x98451,x98454),f319(f319(f301(x98451),x98453),f180(f932(x98451,a923))))),f319(f277(x98451,x98451,x98454),f319(f319(f301(x98451),x98452),f180(f932(x98451,a923)))))) % 219.27/219.54 [9985]~P4(x99855)+~P6(x99855)+P1(f319(f319(f321(x99851),f887(x99852,x99853,x99854,x99851,x99855)),x99854))+~P1(f319(f319(f227(x99855),f319(f319(f34(x99851,x99855),x99854),x99853)),x99852)) % 219.27/219.54 [10020]~P91(x100205)+~P88(x100205)+P1(f319(f319(f321(x100201),f716(x100202,x100203,x100204,x100201,x100205)),f319(f164(x100201),x100204)))+P1(f319(f319(f226(x100205),f319(f157(x100205),f319(f319(f146(x100201,x100205),x100203),x100204))),f319(f157(x100205),f319(f319(f146(x100201,x100205),x100202),x100204)))) % 219.27/219.54 [10134]~P4(x101341)+~P6(x101341)+P1(f319(f319(f227(x101341),f319(x101342,f887(x101343,x101342,x101344,x101345,x101341))),x101343))+~P1(f319(f319(f227(x101341),f319(f319(f34(x101345,x101341),x101344),x101342)),x101343)) % 219.27/219.54 [10277]~P91(x102771)+~P88(x102771)+~P1(f319(f319(f226(x102771),f319(x102773,f716(x102775,x102773,x102774,x102772,x102771))),f319(x102775,f716(x102775,x102773,x102774,x102772,x102771))))+P1(f319(f319(f226(x102771),f319(f157(x102771),f319(f319(f146(x102772,x102771),x102773),x102774))),f319(f157(x102771),f319(f319(f146(x102772,x102771),x102775),x102774)))) % 219.27/219.54 [8901]~P79(x89011)+~P1(f319(f55(x89014),x89015))+~P1(f319(f319(f321(x89014),x89013),x89015))+E(f319(f319(f74(x89011),f319(x89012,x89013)),f319(f319(f6(x89014,x89011),x89012),f319(f319(f23(f932(x89014,a923)),x89015),f319(f319(f301(x89014),x89013),f180(f932(x89014,a923)))))),f319(f319(f6(x89014,x89011),x89012),x89015)) % 219.27/219.54 [8902]~P78(x89021)+~P1(f319(f55(x89024),x89025))+~P1(f319(f319(f321(x89024),x89023),x89025))+E(f319(f319(f75(x89021),f319(x89022,x89023)),f319(f319(f9(x89024,x89021),x89022),f319(f319(f23(f932(x89024,a923)),x89025),f319(f319(f301(x89024),x89023),f180(f932(x89024,a923)))))),f319(f319(f9(x89024,x89021),x89022),x89025)) % 219.27/219.54 [8962]~P19(x89621,x89624,x89625)+~P1(f319(f55(x89621),x89622))+E(f319(f319(f23(f932(x89621,a923)),x89622),f319(f319(f301(x89621),x89623),f180(f932(x89621,a923)))),f180(f932(x89621,a923)))+E(f319(f319(x89624,x89623),f319(x89625,f319(f319(f23(f932(x89621,a923)),x89622),f319(f319(f301(x89621),x89623),f180(f932(x89621,a923)))))),f319(x89625,f319(f319(f301(x89621),x89623),x89622))) % 219.27/219.54 [9346]~P78(x93461)+~P1(f319(f55(x93462),x93465))+~P1(f319(f55(x93462),x93464))+E(f319(f319(f75(x93461),f319(f319(f9(x93462,x93461),x93463),f319(f319(f102(f932(x93462,a923)),x93464),x93465))),f319(f319(f9(x93462,x93461),x93463),f319(f319(f93(f932(x93462,a923)),x93464),x93465))),f319(f319(f75(x93461),f319(f319(f9(x93462,x93461),x93463),x93464)),f319(f319(f9(x93462,x93461),x93463),x93465))) % 219.27/219.54 [9347]~P79(x93471)+~P1(f319(f55(x93472),x93475))+~P1(f319(f55(x93472),x93474))+E(f319(f319(f74(x93471),f319(f319(f6(x93472,x93471),x93473),f319(f319(f102(f932(x93472,a923)),x93474),x93475))),f319(f319(f6(x93472,x93471),x93473),f319(f319(f93(f932(x93472,a923)),x93474),x93475))),f319(f319(f74(x93471),f319(f319(f6(x93472,x93471),x93473),x93474)),f319(f319(f6(x93472,x93471),x93473),x93475))) % 219.27/219.54 [9488]~P70(x94881)+~P1(f319(f55(x94882),x94885))+~P1(f319(f55(x94882),x94884))+E(f319(f319(f23(x94881),f319(f319(f74(x94881),f319(f319(f6(x94882,x94881),x94883),x94884)),f319(f319(f6(x94882,x94881),x94883),x94885))),f319(f319(f6(x94882,x94881),x94883),f319(f319(f93(f932(x94882,a923)),x94884),x94885))),f319(f319(f6(x94882,x94881),x94883),f319(f319(f102(f932(x94882,a923)),x94884),x94885))) % 219.27/219.54 [9705]~P26(x97051,x97052,x97053,x97055)+~P26(x97051,x97052,x97053,x97054)+P26(x97051,x97052,x97053,f319(f319(f102(f932(x97051,a923)),x97054),x97055))+~E(f319(f319(f93(f932(x97052,a923)),f319(f302(x97051,x97052,x97053),f319(f319(f23(f932(x97051,a923)),x97054),x97055))),f319(f302(x97051,x97052,x97053),f319(f319(f23(f932(x97051,a923)),x97055),x97054))),f180(f932(x97052,a923))) % 219.27/219.54 [9820]E(x98201,f2(a1))+~P1(f319(f319(f227(a1),f2(a1)),x98203))+~P1(f319(f43(x98202,x98201),f319(f319(f244(a1,a1),x98204),x98205)))+P1(f319(f43(x98202,f319(f319(f75(a1),x98201),x98203)),f319(f319(f244(a1,a1),f319(f319(f30(a1),x98204),x98203)),f319(f319(f74(a1),f319(f319(f75(a1),x98201),f39(a1,x98204,x98203))),x98205)))) % 219.27/219.54 [9828]~P1(f319(f319(f227(a925),f2(a925)),x98283))+~P1(f319(f319(f227(a925),f2(a925)),x98282))+~P1(f319(f42(x98281,x98282),f319(f319(f244(a925,a925),x98284),x98285)))+P1(f319(f42(x98281,f319(f319(f75(a925),x98282),x98283)),f319(f319(f244(a925,a925),f319(f319(f30(a925),x98284),x98283)),f319(f319(f74(a925),f319(f319(f75(a925),x98282),f39(a925,x98284,x98283))),x98285)))) % 219.27/219.54 [9878]~P78(x98781)+~P1(f319(f55(x98782),x98785))+~P1(f319(f55(x98782),x98784))+E(f319(f319(f75(x98781),f319(f319(f319(f59(x98781,x98782,f75(x98781)),x98783),f72(x98781)),f319(f319(f102(f932(x98782,a923)),x98784),x98785))),f319(f319(f319(f59(x98781,x98782,f75(x98781)),x98783),f72(x98781)),f319(f319(f93(f932(x98782,a923)),x98784),x98785))),f319(f319(f75(x98781),f319(f319(f319(f59(x98781,x98782,f75(x98781)),x98783),f72(x98781)),x98784)),f319(f319(f319(f59(x98781,x98782,f75(x98781)),x98783),f72(x98781)),x98785))) % 219.27/219.54 [9880]~E(f319(f319(f167(x98801),x98805),x98802),f319(f319(f167(x98801),x98805),x98803))+P1(f319(f319(f321(f931(f926(x98801),f926(x98801))),f319(f319(f244(f926(x98801),f926(x98801)),x98802),x98803)),f139(x98801,x98804)))+~P1(f319(f319(f227(a925),x98805),f319(f319(f224(a925),f319(f181(f926(x98801)),x98802)),f319(f181(f926(x98801)),x98803))))+~P1(f319(f319(f321(f931(x98801,x98801)),f319(f319(f244(x98801,x98801),f319(f319(f156(x98801),x98802),x98805)),f319(f319(f156(x98801),x98803),x98805))),x98804)) % 219.27/219.54 [10009]~P91(x100095)+~P149(x100095)+P1(f319(f319(f321(x100091),f424(x100092,x100093,x100094,x100091,x100095)),x100094))+P1(f319(f319(f226(x100095),f319(f319(f6(x100091,x100095),x100093),x100094)),f319(f319(f75(x100095),f319(f92(x100095),f319(f29(x100091),x100094))),x100092))) % 219.27/219.54 [10193]~P91(x101931)+~P149(x101931)+~P1(f319(f319(f226(x101931),f319(x101933,f424(x101935,x101933,x101934,x101932,x101931))),x101935))+P1(f319(f319(f226(x101931),f319(f319(f6(x101932,x101931),x101933),x101934)),f319(f319(f75(x101931),f319(f92(x101931),f319(f29(x101932),x101934))),x101935))) % 219.27/219.54 [8930]E(f319(f319(f126(x89301),x89302),x89303),f319(f319(f126(x89301),x89304),x89305))+~E(f319(f319(f167(x89301),f319(f181(f926(x89301)),x89302)),x89304),x89302)+~E(f319(f319(f126(x89301),f319(f319(f130(x89301),f319(f181(f926(x89301)),x89302)),x89304)),x89305),x89303)+P1(f319(f319(f226(a925),f319(f181(f926(x89301)),x89304)),f319(f181(f926(x89301)),x89302))) % 219.27/219.54 [9061]E(f319(f319(f126(x90611),x90612),x90613),f319(f319(f126(x90611),x90614),x90615))+~E(f319(f319(f167(x90611),f319(f181(f926(x90611)),x90612)),x90614),x90612)+~E(x90613,f319(f319(f126(x90611),f319(f319(f130(x90611),f319(f181(f926(x90611)),x90612)),x90614)),x90615))+~P1(f319(f319(f226(a925),f319(f181(f926(x90611)),x90612)),f319(f181(f926(x90611)),x90614))) % 219.27/219.54 [10342]~P1(f319(x103425,x103424))+~P1(f319(f55(x103422),f319(f254(x103422),x103425)))+P1(f319(f55(x103421),f319(f254(x103421),f319(f319(f7(x103421,x103422,a923),x103423),x103424))))+~P1(f319(f55(x103421),f319(f254(x103421),f319(f319(f8(f932(x103422,a923),a923,x103421),f81(x103422)),f319(f319(f8(f932(x103422,a923),f932(x103422,a923),x103421),f319(f18(x103422,a923,a923),f319(f319(f8(a923,f932(a923,a923),x103422),a317),x103425))),x103423))))) % 219.27/219.54 [10414]~P1(f319(f55(x104142),x104145))+~P1(f319(f319(f321(x104142),x104144),x104145))+P1(f319(f55(x104141),f319(f254(x104141),f319(f319(f7(x104141,x104142,a923),x104143),x104144))))+~P1(f319(f55(x104141),f319(f254(x104141),f319(f319(f8(f932(x104142,a923),a923,x104141),f81(x104142)),f319(f319(f8(f932(x104142,a923),f932(x104142,a923),x104141),f319(f18(x104142,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104142),a317),f319(f319(f7(x104142,f932(x104142,a923),a923),f321(x104142)),x104145)))),x104143))))) % 219.27/219.54 [8713]~P20(x87135,x87131,x87136,x87132)+E(f319(f66(x87131,x87131,x87131,f319(x87132,x87133)),f319(x87132,x87134)),f319(f66(x87131,x87131,x87131,f319(x87132,x87134)),f319(x87132,x87133)))+~P1(f319(f55(x87135),x87134))+~P1(f319(f55(x87135),x87133)) % 219.27/219.54 [8100]~P26(x81001,x81002,x81004,x81003)+~E(f319(x81004,x81006),x81005)+E(f319(f71(x81001,x81002,x81003,x81004),x81005),x81006)+~P1(f319(f319(f321(x81001),x81006),x81003)) % 219.27/219.54 [8101]~P26(x81011,x81012,x81014,x81013)+~E(f319(x81014,x81016),x81015)+E(f319(f85(x81011,x81012,x81013,x81014),x81015),x81016)+~P1(f319(f319(f321(x81011),x81016),x81013)) % 219.27/219.54 [8297]~P21(x82976,x82971,x82974,x82972)+E(f319(f66(x82971,x82971,x82971,f319(x82972,x82973)),f319(x82974,x82975)),f319(x82972,x82973))+~P1(f319(f55(x82976),x82973))+~P1(f319(f319(f321(x82976),x82975),x82973)) % 219.27/219.54 [9441]E(x94411,x94412)+~E(f319(f85(x94413,x94414,x94415,x94416),x94411),f319(f85(x94413,x94414,x94415,x94416),x94412))+~P1(f319(f319(f321(x94414),x94412),f319(f302(x94413,x94414,x94416),x94415)))+~P1(f319(f319(f321(x94414),x94411),f319(f302(x94413,x94414,x94416),x94415))) % 219.27/219.54 [9539]~P20(x95393,x95391,x95396,x95392)+E(f319(f66(x95391,x95391,x95391,f319(x95392,f319(f319(f23(f932(x95393,a923)),x95394),f319(f319(f301(x95393),x95395),f180(f932(x95393,a923)))))),f319(x95396,x95395)),f319(x95392,x95394))+~P1(f319(f55(x95393),x95394))+~P1(f319(f319(f321(x95393),x95395),x95394)) % 219.27/219.54 [7186]~P66(x71861)+~E(f39(x71861,x71863,x71864),f39(x71861,x71866,x71864))+~E(f39(x71861,x71862,x71864),f39(x71861,x71865,x71864))+E(f39(x71861,f319(f319(f23(x71861),x71862),x71863),x71864),f39(x71861,f319(f319(f23(x71861),x71865),x71866),x71864)) % 219.27/219.54 [7187]~P65(x71871)+~E(f39(x71871,x71873,x71874),f39(x71871,x71876,x71874))+~E(f39(x71871,x71872,x71874),f39(x71871,x71875,x71874))+E(f39(x71871,f319(f319(f75(x71871),x71872),x71873),x71874),f39(x71871,f319(f319(f75(x71871),x71875),x71876),x71874)) % 219.27/219.54 [7188]~P65(x71881)+~E(f39(x71881,x71883,x71884),f39(x71881,x71886,x71884))+~E(f39(x71881,x71882,x71884),f39(x71881,x71885,x71884))+E(f39(x71881,f319(f319(f74(x71881),x71882),x71883),x71884),f39(x71881,f319(f319(f74(x71881),x71885),x71886),x71884)) % 219.27/219.54 [7994]~P17(x79941,x79942,x79943)+~P1(f319(f55(x79941),x79946))+E(f319(f319(f58(x79941,x79942,x79943),x79944),f319(f319(f301(x79941),x79945),x79946)),f319(f319(f58(x79941,x79942,x79943),f319(f319(x79943,x79945),x79944)),x79946))+P1(f319(f319(f321(x79941),x79945),x79946)) % 219.27/219.54 [8059]~P6(x80591)+P1(f319(f319(f226(x80591),x80592),f319(x80593,x80594)))+~P1(f319(f319(f321(x80595),x80594),x80596))+~P1(f319(f319(f226(x80591),x80592),f319(f319(f34(x80595,x80591),x80596),x80593))) % 219.27/219.54 [8219]~P17(x82191,x82192,x82193)+~P1(f319(f55(x82191),x82196))+E(f319(f319(f58(x82191,x82192,x82193),x82194),f319(f319(f301(x82191),x82195),x82196)),f319(f319(x82193,x82195),f319(f319(f58(x82191,x82192,x82193),x82194),x82196)))+P1(f319(f319(f321(x82191),x82195),x82196)) % 219.27/219.54 [8315]~P4(x83153)+~P1(f319(x83152,x83155))+~P14(x83153,f319(f319(f146(x83151,x83153),x83154),x83156))+E(f319(f128(x83151,x83152),f319(f319(f140(x83151,x83153,x83154),x83155),x83156)),f319(f319(f140(x83151,x83153,x83154),x83155),f319(f128(x83151,x83152),x83156))) % 219.27/219.54 [8338]E(x83381,x83382)+E(x83383,f2(a1))+~P1(f319(f43(x83384,x83383),f319(f319(f244(a1,a1),x83385),x83382)))+~P1(f319(f43(x83384,x83383),f319(f319(f244(a1,a1),x83386),x83381))) % 219.27/219.54 [8339]E(x83391,x83392)+E(x83393,f2(a1))+~P1(f319(f43(x83394,x83393),f319(f319(f244(a1,a1),x83392),x83395)))+~P1(f319(f43(x83394,x83393),f319(f319(f244(a1,a1),x83391),x83396))) % 219.27/219.54 [8360]~P20(x83602,x83605,x83606,x83601)+~P1(f319(f55(x83602),x83604))+E(f319(x83601,f319(f319(f301(x83602),x83603),x83604)),f319(f66(x83605,x83605,x83605,f319(x83601,x83604)),f319(x83606,x83603)))+P1(f319(f319(f321(x83602),x83603),x83604)) % 219.27/219.54 [8585]~P21(x85855,x85851,x85856,x85852)+E(f319(f66(x85851,x85851,x85851,f319(x85852,x85853)),f319(x85852,x85854)),f319(x85852,x85853))+~P1(f319(f55(x85855),x85853))+~P1(f319(f319(f226(f932(x85855,a923)),x85854),x85853)) % 219.27/219.54 [9748]~P26(x97481,x97482,x97484,x97483)+~P1(f319(f319(f321(x97482),x97485),f319(f302(x97481,x97482,x97484),x97483)))+P1(f319(f319(f321(x97481),f319(f71(x97481,x97482,x97483,x97484),x97485)),x97486))+~P1(f319(f319(f226(f932(x97481,a923)),x97483),x97486)) % 219.27/219.54 [10145]~P79(x101452)+~E(f413(x101451,x101453,x101455,x101456,x101454,x101452),f414(x101451,x101453,x101455,x101456,x101454,x101452))+~P1(f319(f55(x101454),x101456))+E(f319(f319(f6(x101451,x101452),x101453),f319(f302(x101454,x101451,x101455),x101456)),f319(f319(f6(x101454,x101452),f319(f66(x101451,x101452,x101454,x101453),x101455)),x101456)) % 219.27/219.54 [10173]~P79(x101736)+E(f319(x101731,f413(x101732,x101733,x101731,x101734,x101735,x101736)),f319(x101731,f414(x101732,x101733,x101731,x101734,x101735,x101736)))+E(f319(f319(f6(x101732,x101736),x101733),f319(f302(x101735,x101732,x101731),x101734)),f319(f319(f6(x101735,x101736),f319(f66(x101732,x101736,x101735,x101733),x101731)),x101734))+~P1(f319(f55(x101735),x101734)) % 219.27/219.54 [10226]~P79(x102262)+~E(f319(x102263,f319(x102265,f414(x102261,x102263,x102265,x102266,x102264,x102262))),f2(x102262))+~P1(f319(f55(x102264),x102266))+E(f319(f319(f6(x102261,x102262),x102263),f319(f302(x102264,x102261,x102265),x102266)),f319(f319(f6(x102264,x102262),f319(f66(x102261,x102262,x102264,x102263),x102265)),x102266)) % 219.27/219.54 [10286]~P79(x102862)+~P1(f319(f55(x102864),x102866))+E(f319(f319(f6(x102861,x102862),x102863),f319(f302(x102864,x102861,x102865),x102866)),f319(f319(f6(x102864,x102862),f319(f66(x102861,x102862,x102864,x102863),x102865)),x102866))+P1(f319(f319(f321(x102864),f414(x102861,x102863,x102865,x102866,x102864,x102862)),x102866)) % 219.27/219.54 [10287]~P79(x102872)+~P1(f319(f55(x102874),x102876))+E(f319(f319(f6(x102871,x102872),x102873),f319(f302(x102874,x102871,x102875),x102876)),f319(f319(f6(x102874,x102872),f319(f66(x102871,x102872,x102874,x102873),x102875)),x102876))+P1(f319(f319(f321(x102874),f413(x102871,x102873,x102875,x102876,x102874,x102872)),x102876)) % 219.27/219.54 [10367]~P41(f932(f931(x103674,x103675),a923),f932(f931(x103674,x103675),a923),x103676)+~P1(f319(f319(x103671,f548(x103671,x103676,x103673,x103672,x103675,x103674)),f553(x103671,x103676,x103673,x103672,x103675,x103674)))+P1(f319(f319(x103671,x103672),x103673))+~P1(f319(f319(f321(f931(x103674,x103675)),f319(f319(f244(x103674,x103675),x103672),x103673)),f87(f932(f931(x103674,x103675),a923),x103676))) % 219.27/219.54 [10413]~P78(x104131)+~P1(f319(f55(x104132),x104136))+E(f319(f319(f319(f59(x104131,x104132,f75(x104131)),f319(f319(f18(x104132,f932(x104133,a923),x104131),f319(f319(f7(x104132,x104131,f932(f932(x104133,a923),x104131)),f319(f319(f8(f932(x104133,x104131),f932(x104131,f932(f932(x104133,a923),x104131)),x104132),f59(x104131,x104133,f75(x104131))),x104134)),f72(x104131))),x104135)),f72(x104131)),x104136),f319(f319(f319(f59(x104131,f931(x104132,x104133),f75(x104131)),f319(f249(x104132,x104133,x104131),x104134)),f72(x104131)),f319(f319(f246(x104132,x104133),x104136),x104135)))+P1(f319(f319(f321(x104132),f580(x104134,x104135,x104133,x104136,x104132,x104131)),x104136)) % 219.27/219.54 [10435]~P78(x104351)+~P1(f319(f55(x104352),x104356))+E(f319(f319(f319(f59(x104351,x104352,f75(x104351)),f319(f319(f18(x104352,f932(x104353,a923),x104351),f319(f319(f7(x104352,x104351,f932(f932(x104353,a923),x104351)),f319(f319(f8(f932(x104353,x104351),f932(x104351,f932(f932(x104353,a923),x104351)),x104352),f59(x104351,x104353,f75(x104351))),x104354)),f72(x104351))),x104355)),f72(x104351)),x104356),f319(f319(f319(f59(x104351,f931(x104352,x104353),f75(x104351)),f319(f249(x104352,x104353,x104351),x104354)),f72(x104351)),f319(f319(f246(x104352,x104353),x104356),x104355)))+~P1(f319(f55(x104353),f319(x104355,f580(x104354,x104355,x104353,x104356,x104352,x104351)))) % 219.27/219.54 [8494]~P21(x84942,x84945,x84946,x84941)+~P1(f319(f55(x84942),x84944))+~P1(f319(f55(x84942),x84943))+E(f319(x84941,f319(f319(f102(f932(x84942,a923)),x84943),x84944)),f319(f66(x84945,x84945,x84945,f319(x84941,x84943)),f319(x84941,x84944))) % 219.27/219.54 [8714]~P6(x87141)+P1(f319(f319(f226(x87141),f319(x87142,x87143)),x87144))+~P1(f319(f319(f321(x87145),x87143),x87146))+~P1(f319(f319(f226(x87141),f319(f319(f33(x87145,x87141),x87146),x87142)),x87144)) % 219.27/219.54 [9150]~P26(x91502,x91501,x91503,x91506)+E(f319(f319(f93(f932(x91501,a923)),f319(f302(x91502,x91501,x91503),x91504)),f319(f302(x91502,x91501,x91503),x91505)),f319(f302(x91502,x91501,x91503),f319(f319(f93(f932(x91502,a923)),x91504),x91505)))+~P1(f319(f319(f226(f932(x91502,a923)),x91505),x91506))+~P1(f319(f319(f226(f932(x91502,a923)),x91504),x91506)) % 219.27/219.54 [9151]~P26(x91512,x91511,x91513,x91516)+E(f319(f319(f23(f932(x91511,a923)),f319(f302(x91512,x91511,x91513),x91514)),f319(f302(x91512,x91511,x91513),x91515)),f319(f302(x91512,x91511,x91513),f319(f319(f23(f932(x91512,a923)),x91514),x91515)))+~P1(f319(f319(f226(f932(x91512,a923)),x91515),x91516))+~P1(f319(f319(f226(f932(x91512,a923)),x91514),x91516)) % 219.27/219.54 [9414]E(x94141,x94142)+~P59(x94143,x94144,x94145)+~P1(f319(f319(f321(f931(x94143,x94144)),f319(f319(f244(x94143,x94144),x94146),x94142)),x94145))+~P1(f319(f319(f321(f931(x94143,x94144)),f319(f319(f244(x94143,x94144),x94146),x94141)),x94145)) % 219.27/219.54 [10221]~P76(x102211)+~E(f319(x102213,f527(x102214,x102216,x102213,x102215,x102212,x102211)),f319(x102216,f527(x102214,x102216,x102213,x102215,x102212,x102211)))+~P1(f319(f55(x102212),x102215))+E(f319(f319(f319(f59(x102211,x102212,f75(x102211)),x102213),x102214),x102215),f319(f319(f319(f59(x102211,x102212,f75(x102211)),x102216),x102214),x102215)) % 219.27/219.54 [10283]~P76(x102831)+~P1(f319(f55(x102832),x102835))+E(f319(f319(f319(f59(x102831,x102832,f75(x102831)),x102833),x102834),x102835),f319(f319(f319(f59(x102831,x102832,f75(x102831)),x102836),x102834),x102835))+P1(f319(f319(f321(x102832),f527(x102834,x102833,x102836,x102835,x102832,x102831)),x102835)) % 219.27/219.54 [8944]~P76(x89441)+~P1(f319(f55(x89442),x89446))+P1(f319(f319(f321(x89442),x89445),x89446))+E(f319(f319(f319(f59(x89441,x89442,f75(x89441)),x89443),x89444),f319(f319(f301(x89442),x89445),x89446)),f319(f319(f75(x89441),f319(x89443,x89445)),f319(f319(f319(f59(x89441,x89442,f75(x89441)),x89443),x89444),x89446))) % 219.27/219.54 [8998]~P9(x89981,x89986,x89983)+~P12(x89981,f932(x89982,a923),x89983,x89985)+~P1(f319(f319(f321(x89981),x89984),x89986))+E(f319(f319(f33(x89981,f932(x89982,a923)),f319(f277(x89981,x89981,x89983),f319(f319(f301(x89981),x89984),f180(f932(x89981,a923))))),x89985),f319(x89985,x89984)) % 219.27/219.54 [9125]~P17(x91253,x91254,x91251)+~P1(f319(f55(x91253),x91256))+~P1(f319(f319(f321(x91253),x91252),x91256))+E(f319(f319(x91251,x91252),f319(f319(f58(x91253,x91254,x91251),x91255),f319(f319(f23(f932(x91253,a923)),x91256),f319(f319(f301(x91253),x91252),f180(f932(x91253,a923)))))),f319(f319(f58(x91253,x91254,x91251),x91255),x91256)) % 219.27/219.54 [9425]~P20(x94253,x94251,x94256,x94252)+~P1(f319(f55(x94253),x94255))+~P1(f319(f55(x94253),x94254))+E(f319(f66(x94251,x94251,x94251,f319(x94252,f319(f319(f102(f932(x94253,a923)),x94254),x94255))),f319(x94252,f319(f319(f93(f932(x94253,a923)),x94254),x94255))),f319(f66(x94251,x94251,x94251,f319(x94252,x94254)),f319(x94252,x94255))) % 219.27/219.54 [10445]~P41(f932(f931(x104454,x104455),a923),f932(f931(x104454,x104455),a923),x104456)+P1(f319(f319(x104451,x104452),x104453))+~P1(f319(f319(f321(f931(x104454,x104455)),f319(f319(f244(x104454,x104455),x104452),x104453)),f87(f932(f931(x104454,x104455),a923),x104456)))+P1(f319(f319(f321(f931(x104454,x104455)),f319(f319(f244(x104454,x104455),f548(x104451,x104456,x104453,x104452,x104455,x104454)),f553(x104451,x104456,x104453,x104452,x104455,x104454))),f319(x104456,f319(f319(f93(f932(f931(x104454,x104455),a923)),f87(f932(f931(x104454,x104455),a923),x104456)),f319(f254(f931(x104454,x104455)),f319(f249(x104454,x104455,a923),x104451)))))) % 219.27/219.54 [9773]~E(x97733,f319(f319(f151(x97731,x97732),x97735),x97736))+P1(f319(f319(f321(f931(f926(x97731),f926(x97731))),f319(f319(f244(f926(x97731),f926(x97731)),x97732),x97733)),f149(x97731,x97734)))+~P1(f319(f319(f227(a925),x97735),f319(f181(f926(x97731)),x97732)))+~P1(f319(f319(f321(f931(x97731,x97731)),f319(f319(f244(x97731,x97731),f319(f319(f156(x97731),x97732),x97735)),x97736)),x97734)) % 219.27/219.54 [10300]~P79(x103002)+~P1(f319(f55(x103001),x103006))+P1(f319(f319(f321(x103001),f581(x103004,x103005,x103003,x103006,x103001,x103002)),x103006))+E(f319(f319(f6(x103001,x103002),f319(f319(f18(x103001,f932(x103003,a923),x103002),f319(f319(f8(f932(x103003,x103002),f932(f932(x103003,a923),x103002),x103001),f6(x103003,x103002)),x103004)),x103005)),x103006),f319(f319(f6(f931(x103001,x103003),x103002),f319(f249(x103001,x103003,x103002),x103004)),f319(f319(f246(x103001,x103003),x103006),x103005))) % 219.27/219.54 [10301]~P78(x103012)+~P1(f319(f55(x103011),x103016))+P1(f319(f319(f321(x103011),f582(x103014,x103015,x103013,x103016,x103011,x103012)),x103016))+E(f319(f319(f9(x103011,x103012),f319(f319(f18(x103011,f932(x103013,a923),x103012),f319(f319(f8(f932(x103013,x103012),f932(f932(x103013,a923),x103012),x103011),f9(x103013,x103012)),x103014)),x103015)),x103016),f319(f319(f9(f931(x103011,x103013),x103012),f319(f249(x103011,x103013,x103012),x103014)),f319(f319(f246(x103011,x103013),x103016),x103015))) % 219.27/219.54 [10340]~P79(x103402)+~P1(f319(f55(x103401),x103406))+~P1(f319(f55(x103403),f319(x103405,f581(x103404,x103405,x103403,x103406,x103401,x103402))))+E(f319(f319(f6(x103401,x103402),f319(f319(f18(x103401,f932(x103403,a923),x103402),f319(f319(f8(f932(x103403,x103402),f932(f932(x103403,a923),x103402),x103401),f6(x103403,x103402)),x103404)),x103405)),x103406),f319(f319(f6(f931(x103401,x103403),x103402),f319(f249(x103401,x103403,x103402),x103404)),f319(f319(f246(x103401,x103403),x103406),x103405))) % 219.27/219.54 [10341]~P78(x103412)+~P1(f319(f55(x103411),x103416))+~P1(f319(f55(x103413),f319(x103415,f582(x103414,x103415,x103413,x103416,x103411,x103412))))+E(f319(f319(f9(x103411,x103412),f319(f319(f18(x103411,f932(x103413,a923),x103412),f319(f319(f8(f932(x103413,x103412),f932(f932(x103413,a923),x103412),x103411),f9(x103413,x103412)),x103414)),x103415)),x103416),f319(f319(f9(f931(x103411,x103413),x103412),f319(f249(x103411,x103413,x103412),x103414)),f319(f319(f246(x103411,x103413),x103416),x103415))) % 219.27/219.54 [10323]~P78(x103232)+~P1(f319(f55(x103231),x103236))+P1(f319(f319(f321(x103231),x103233),x103236))+E(f319(f319(f9(x103231,x103232),f319(f319(f7(x103231,x103232,x103232),f319(f319(f18(x103231,x103232,f932(x103232,x103232)),f319(f319(f8(a923,f932(x103232,f932(x103232,x103232)),x103231),f86(x103232)),f319(f319(f7(x103231,x103231,a923),a316),x103233))),x103234)),x103235)),x103236),f319(f319(f236(x103232),x103235),f319(f29(x103231),x103236))) % 219.27/219.54 [10326]~P78(x103262)+~P1(f319(f55(x103261),x103266))+~P1(f319(f319(f321(x103261),x103263),x103266))+E(f319(f319(f9(x103261,x103262),f319(f319(f7(x103261,x103262,x103262),f319(f319(f18(x103261,x103262,f932(x103262,x103262)),f319(f319(f8(a923,f932(x103262,f932(x103262,x103262)),x103261),f86(x103262)),f319(f319(f7(x103261,x103261,a923),a316),x103263))),x103264)),x103265)),x103266),f319(f319(f75(x103262),f319(x103264,x103263)),f319(f319(f236(x103262),x103265),f319(f319(f23(a925),f319(f29(x103261),x103266)),f72(a925))))) % 219.27/219.54 [10403]~P1(f319(f55(x104031),x104035))+~P1(f319(f55(x104032),x104033))+P1(f319(f319(f321(x104032),f459(x104036,x104034,x104033,x104032,x104035,x104031)),x104033))+E(f319(f319(f6(x104031,a925),f319(f319(f8(f932(x104032,a923),a925,x104031),f29(x104032)),f319(f319(f8(f932(x104032,a923),f932(x104032,a923),x104031),f254(x104032)),f319(f319(f8(f932(x104032,a923),f932(x104032,a923),x104031),f319(f18(x104032,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104032),a317),f319(f319(f7(x104032,f932(x104032,a923),a923),f321(x104032)),x104033)))),x104034)))),x104035),f319(f319(f75(a925),x104036),f319(f29(x104032),x104033))) % 219.27/219.54 [10404]~P1(f319(f55(x104041),x104045))+~P1(f319(f55(x104042),x104043))+P1(f319(f319(f321(x104042),f464(x104046,x104044,x104043,x104042,x104045,x104041)),x104043))+E(f319(f319(f6(x104041,a925),f319(f319(f8(f932(x104042,a923),a925,x104041),f29(x104042)),f319(f319(f8(f932(x104042,a923),f932(x104042,a923),x104041),f254(x104042)),f319(f319(f8(f932(x104042,a923),f932(x104042,a923),x104041),f319(f18(x104042,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104042),a317),f319(f319(f7(x104042,f932(x104042,a923),a923),f321(x104042)),x104043)))),x104044)))),x104045),f319(f319(f6(x104042,a925),x104046),x104043)) % 219.27/219.54 [10449]~P1(f319(f55(x104492),x104493))+~P1(f319(f55(x104491),x104495))+~E(f319(f29(x104491),f319(f254(x104491),f319(f319(f18(x104491,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104491),a317),f319(f319(f7(x104491,f932(x104491,a923),a923),f321(x104491)),x104495))),f319(f319(f7(x104491,x104492,a923),x104494),f459(x104496,x104494,x104493,x104492,x104495,x104491))))),x104496)+E(f319(f319(f6(x104491,a925),f319(f319(f8(f932(x104492,a923),a925,x104491),f29(x104492)),f319(f319(f8(f932(x104492,a923),f932(x104492,a923),x104491),f254(x104492)),f319(f319(f8(f932(x104492,a923),f932(x104492,a923),x104491),f319(f18(x104492,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104492),a317),f319(f319(f7(x104492,f932(x104492,a923),a923),f321(x104492)),x104493)))),x104494)))),x104495),f319(f319(f75(a925),x104496),f319(f29(x104492),x104493))) % 219.27/219.54 [10451]~P1(f319(f55(x104512),x104513))+~P1(f319(f55(x104511),x104515))+~E(f319(f29(x104511),f319(f254(x104511),f319(f319(f18(x104511,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104511),a317),f319(f319(f7(x104511,f932(x104511,a923),a923),f321(x104511)),x104515))),f319(f319(f7(x104511,x104512,a923),x104514),f464(x104516,x104514,x104513,x104512,x104515,x104511))))),f319(x104516,f464(x104516,x104514,x104513,x104512,x104515,x104511)))+E(f319(f319(f6(x104511,a925),f319(f319(f8(f932(x104512,a923),a925,x104511),f29(x104512)),f319(f319(f8(f932(x104512,a923),f932(x104512,a923),x104511),f254(x104512)),f319(f319(f8(f932(x104512,a923),f932(x104512,a923),x104511),f319(f18(x104512,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104512),a317),f319(f319(f7(x104512,f932(x104512,a923),a923),f321(x104512)),x104513)))),x104514)))),x104515),f319(f319(f6(x104512,a925),x104516),x104513)) % 219.27/219.54 [10068]E(x100681,x100682)+~P17(x100683,x100684,x100685)+~P1(f319(f60(x100683,x100684,x100685,x100686,x100687),x100682))+~P1(f319(f60(x100683,x100684,x100685,x100686,x100687),x100681)) % 219.27/219.54 [9850]P1(f319(x98501,x98502))+~P1(f319(f319(f321(x98507),x98502),f319(x98506,x98504)))+~P1(f319(x98501,f353(x98501,x98506,x98505,x98503,x98507)))+~P1(f319(f319(f321(x98503),x98504),x98505)) % 219.27/219.54 [10314]~P17(x103147,x103146,x103141)+E(f319(f319(x103141,x103142),f653(x103142,x103143,x103144,x103145,x103141,x103146,x103147)),x103143)+~P1(f319(f60(x103147,x103146,x103141,x103145,x103144),x103143))+~P1(f319(f319(f321(x103147),x103142),x103144)) % 219.27/219.54 [10381]~P17(x103811,x103812,x103813)+~P1(f319(f60(x103811,x103812,x103813,x103814,x103815),x103817))+P1(f319(f60(x103811,x103812,x103813,x103814,f319(f319(f23(f932(x103811,a923)),x103815),f319(f319(f301(x103811),x103816),f180(f932(x103811,a923))))),f653(x103816,x103817,x103815,x103814,x103813,x103812,x103811)))+~P1(f319(f319(f321(x103811),x103816),x103815)) % 219.27/219.54 [9496]P27(x94961,x94962,x94963,x94964,x94965)+~P27(x94961,x94962,x94963,x94966,x94967)+~E(f319(f302(x94961,x94962,x94963),x94964),x94965)+~P1(f319(f319(f226(f932(x94961,a923)),x94964),x94966)) % 219.27/219.54 [9739]~P27(x97391,x97392,x97393,x97395,x97397)+~P27(x97391,x97392,x97393,x97394,x97396)+P27(x97391,x97392,x97393,f319(f319(f102(f932(x97391,a923)),x97394),x97395),f319(f319(f102(f932(x97392,a923)),x97396),x97397))+~E(f319(f319(f93(f932(x97392,a923)),x97396),x97397),f180(f932(x97392,a923))) % 219.27/219.54 [9744]~P76(x97441)+~P26(x97445,x97442,x97446,x97447)+~P1(f319(f55(x97445),x97447))+E(f319(f319(f319(f59(x97441,x97442,f75(x97441)),x97443),x97444),f319(f302(x97445,x97442,x97446),x97447)),f319(f319(f319(f59(x97441,x97445,f75(x97441)),f319(f66(x97442,x97441,x97445,x97443),x97446)),x97444),x97447)) % 219.27/219.54 [9873]~E(f319(f319(f301(x98731),x98735),x98736),f319(f319(f301(x98731),x98732),x98733))+~P1(f319(f60(x98731,x98731,x98734,x98732,x98733),x98737))+P1(f319(f319(f321(x98731),x98732),x98733))+P1(f319(f56(x98731,x98734,f319(f319(f301(x98731),x98735),x98736)),x98737)) % 219.27/219.54 [9966]P1(f319(x99661,x99662))+~P1(f319(f319(f321(x99663),x99662),f319(x99664,x99667)))+~P1(f319(f319(f321(x99666),x99667),x99665))+P1(f319(f319(f321(x99663),f353(x99661,x99664,x99665,x99666,x99663)),f319(f319(f33(x99666,f932(x99663,a923)),x99665),x99664))) % 219.27/219.54 [9986]~P26(x99862,x99861,x99865,x99864)+~P26(x99861,x99863,x99866,f319(f302(x99862,x99861,x99865),x99864))+E(f319(f319(f66(x99861,x99862,x99863,f71(x99862,x99861,x99864,x99865)),f71(x99861,x99863,f319(f302(x99862,x99861,x99865),x99864),x99866)),x99867),f319(f71(x99862,x99863,x99864,f319(f66(x99861,x99863,x99862,x99866),x99865)),x99867))+~P1(f319(f319(f321(x99863),x99867),f319(f302(x99861,x99863,x99866),f319(f302(x99862,x99861,x99865),x99864)))) % 219.27/219.54 [9987]~P26(x99872,x99871,x99875,x99874)+~P26(x99871,x99873,x99876,f319(f302(x99872,x99871,x99875),x99874))+E(f319(f319(f66(x99871,x99872,x99873,f85(x99872,x99871,x99874,x99875)),f85(x99871,x99873,f319(f302(x99872,x99871,x99875),x99874),x99876)),x99877),f319(f85(x99872,x99873,x99874,f319(f66(x99871,x99873,x99872,x99876),x99875)),x99877))+~P1(f319(f319(f321(x99873),x99877),f319(f302(x99871,x99873,x99876),f319(f302(x99872,x99871,x99875),x99874)))) % 219.27/219.54 [10315]~P17(x103157,x103156,x103151)+E(f319(f319(x103151,x103152),f654(x103153,x103154,x103152,x103155,x103151,x103156,x103157)),x103153)+P1(f319(f319(f321(x103157),x103152),x103154))+~P1(f319(f60(x103157,x103156,x103151,x103155,f319(f319(f301(x103157),x103152),x103154)),x103153)) % 219.27/219.54 [10380]~P17(x103801,x103804,x103805)+P1(f319(f60(x103801,x103804,x103805,x103806,x103803),f654(x103807,x103803,x103802,x103806,x103805,x103804,x103801)))+P1(f319(f319(f321(x103801),x103802),x103803))+~P1(f319(f60(x103801,x103804,x103805,x103806,f319(f319(f301(x103801),x103802),x103803)),x103807)) % 219.27/219.54 [10050]E(x100501,f2(a1))+~P1(f319(f43(x100503,x100501),f319(f319(f244(a1,a1),x100505),x100507)))+~P1(f319(f43(x100502,x100501),f319(f319(f244(a1,a1),x100504),x100506)))+P1(f319(f43(f319(f319(f74(a1),x100502),x100503),x100501),f319(f319(f244(a1,a1),f319(f319(f74(a1),f319(f319(f74(a1),x100504),x100505)),f319(f319(f30(a1),f319(f319(f74(a1),x100506),x100507)),x100501))),f39(a1,f319(f319(f74(a1),x100506),x100507),x100501)))) % 219.27/219.54 [10052]~P1(f319(f319(f227(a925),f2(a925)),x100523))+~P1(f319(f42(x100522,x100523),f319(f319(f244(a925,a925),x100525),x100527)))+~P1(f319(f42(x100521,x100523),f319(f319(f244(a925,a925),x100524),x100526)))+P1(f319(f42(f319(f319(f74(a925),x100521),x100522),x100523),f319(f319(f244(a925,a925),f319(f319(f74(a925),f319(f319(f74(a925),x100524),x100525)),f319(f319(f30(a925),f319(f319(f74(a925),x100526),x100527)),x100523))),f39(a925,f319(f319(f74(a925),x100526),x100527),x100523)))) % 219.27/219.54 [10448]~P79(x104482)+~P1(f319(f55(x104483),x104485))+~P1(f319(f55(x104481),x104487))+E(f319(f319(f6(x104481,x104482),f319(f319(f18(x104481,f932(x104483,a923),x104482),f319(f319(f8(f932(x104483,x104482),f932(f932(x104483,a923),x104482),x104481),f6(x104483,x104482)),x104484)),f319(f319(f8(f932(x104483,a923),f932(x104483,a923),x104481),f254(x104483)),f319(f319(f8(f932(x104483,a923),f932(x104483,a923),x104481),f319(f18(x104483,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104483),a317),f319(f319(f7(x104483,f932(x104483,a923),a923),f321(x104483)),x104485)))),x104486)))),x104487),f319(f319(f6(x104483,x104482),f319(f319(f18(x104483,f932(x104481,a923),x104482),f319(f319(f8(f932(x104481,x104482),f932(f932(x104481,a923),x104482),x104483),f6(x104481,x104482)),f319(f7(x104481,x104483,x104482),x104484))),f319(f319(f8(f932(x104481,a923),f932(x104481,a923),x104483),f254(x104481)),f319(f319(f8(f932(x104481,a923),f932(x104481,a923),x104483),f319(f18(x104481,a923,a923),f319(f319(f8(a923,f932(a923,a923),x104481),a317),f319(f319(f7(x104481,f932(x104481,a923),a923),f321(x104481)),x104487)))),f319(f7(x104481,x104483,a923),x104486))))),x104485)) % 219.27/219.54 [10401]~P22(x104018,x104017,x104016,x104015,x104011)+~E(f319(x104012,f866(x104014,x104012,x104013,x104011,x104015,x104016,x104017)),f319(x104014,f866(x104014,x104012,x104013,x104011,x104015,x104016,x104017)))+E(f319(f319(x104011,x104012),x104013),f319(f319(x104011,x104014),x104013))+~P1(f319(f55(x104017),x104013)) % 219.27/219.54 [9911]~P23(x99117,x99116,x99111,x99118,x99112,x99114)+E(f319(f319(x99111,f319(x99112,x99113)),f319(x99114,x99115)),f319(x99114,x99115))+~P1(f319(f55(x99116),x99115))+~P1(f319(f319(f321(x99116),x99113),x99115)) % 219.27/219.54 [9915]~P13(x99156,x99151,x99152,x99158,x99153,x99154)+~P9(x99156,x99157,x99158)+P12(x99151,x99152,x99153,f319(x99154,x99155))+~P1(f319(f319(f321(x99156),x99155),x99157)) % 219.27/219.54 [10420]~P22(x104208,x104205,x104207,x104206,x104201)+E(f319(f319(x104201,x104202),x104203),f319(f319(x104201,x104204),x104203))+~P1(f319(f55(x104205),x104203))+P1(f319(f319(f321(x104205),f866(x104202,x104204,x104203,x104201,x104206,x104207,x104205)),x104203)) % 219.27/219.54 [10500]~P1(f319(f319(x105001,x105006),x105005))+P1(f319(f319(x105001,f848(x105001,x105004,x105005,x105006,x105003,x105002,x105007,x105008)),f853(x105001,x105004,x105005,x105006,x105003,x105002,x105007,x105008)))+P1(f319(f319(x105001,x105002),x105003))+~P1(f319(f319(f321(f931(f931(x105008,x105007),f931(x105008,x105007))),f319(f319(f244(f931(x105008,x105007),f931(x105008,x105007)),f319(f319(f244(x105008,x105007),x105002),x105003)),f319(f319(f244(x105008,x105007),x105006),x105005))),f299(f931(x105008,x105007),x105004))) % 219.27/219.54 [10501]~P1(f319(f319(x105011,x105016),x105015))+P1(f319(f319(x105011,f854(x105011,x105014,x105013,x105012,x105015,x105016,x105017,x105018)),f855(x105011,x105014,x105013,x105012,x105015,x105016,x105017,x105018)))+P1(f319(f319(x105011,x105012),x105013))+~P1(f319(f319(f321(f931(f931(x105018,x105017),f931(x105018,x105017))),f319(f319(f244(f931(x105018,x105017),f931(x105018,x105017)),f319(f319(f244(x105018,x105017),x105016),x105015)),f319(f319(f244(x105018,x105017),x105012),x105013))),f299(f931(x105018,x105017),x105014))) % 219.27/219.54 [10512]~P1(f319(f319(x105121,f849(x105121,x105126,x105125,x105124,x105123,x105122,x105127,x105128)),f852(x105121,x105126,x105125,x105124,x105123,x105122,x105127,x105128)))+P1(f319(f319(x105121,x105122),x105123))+~P1(f319(f319(x105121,x105124),x105125))+~P1(f319(f319(f321(f931(f931(x105128,x105127),f931(x105128,x105127))),f319(f319(f244(f931(x105128,x105127),f931(x105128,x105127)),f319(f319(f244(x105128,x105127),x105122),x105123)),f319(f319(f244(x105128,x105127),x105124),x105125))),f299(f931(x105128,x105127),x105126))) % 219.27/219.54 [10513]~P1(f319(f319(x105131,f862(x105131,x105136,x105133,x105132,x105135,x105134,x105137,x105138)),f863(x105131,x105136,x105133,x105132,x105135,x105134,x105137,x105138)))+P1(f319(f319(x105131,x105132),x105133))+~P1(f319(f319(x105131,x105134),x105135))+~P1(f319(f319(f321(f931(f931(x105138,x105137),f931(x105138,x105137))),f319(f319(f244(f931(x105138,x105137),f931(x105138,x105137)),f319(f319(f244(x105138,x105137),x105134),x105135)),f319(f319(f244(x105138,x105137),x105132),x105133))),f299(f931(x105138,x105137),x105136))) % 219.27/219.54 [10526]~P1(f319(f319(x105261,x105266),x105267))+P1(f319(f319(x105261,x105262),x105263))+P1(f319(f319(f321(f931(f931(x105264,x105265),f931(x105264,x105265))),f319(f319(f244(f931(x105264,x105265),f931(x105264,x105265)),f319(f319(f244(x105264,x105265),x105266),x105267)),f319(f319(f244(x105264,x105265),f854(x105261,x105268,x105263,x105262,x105267,x105266,x105265,x105264)),f855(x105261,x105268,x105263,x105262,x105267,x105266,x105265,x105264)))),f299(f931(x105264,x105265),x105268)))+~P1(f319(f319(f321(f931(f931(x105264,x105265),f931(x105264,x105265))),f319(f319(f244(f931(x105264,x105265),f931(x105264,x105265)),f319(f319(f244(x105264,x105265),x105266),x105267)),f319(f319(f244(x105264,x105265),x105262),x105263))),f299(f931(x105264,x105265),x105268))) % 219.27/219.54 [10528]~P1(f319(f319(x105281,x105288),x105287))+P1(f319(f319(x105281,x105282),x105283))+P1(f319(f319(f321(f931(f931(x105284,x105285),f931(x105284,x105285))),f319(f319(f244(f931(x105284,x105285),f931(x105284,x105285)),f319(f319(f244(x105284,x105285),f848(x105281,x105286,x105287,x105288,x105283,x105282,x105285,x105284)),f853(x105281,x105286,x105287,x105288,x105283,x105282,x105285,x105284))),f319(f319(f244(x105284,x105285),x105288),x105287))),f299(f931(x105284,x105285),x105286)))+~P1(f319(f319(f321(f931(f931(x105284,x105285),f931(x105284,x105285))),f319(f319(f244(f931(x105284,x105285),f931(x105284,x105285)),f319(f319(f244(x105284,x105285),x105282),x105283)),f319(f319(f244(x105284,x105285),x105288),x105287))),f299(f931(x105284,x105285),x105286))) % 219.27/219.54 [9522]~P20(x95227,x95221,x95228,x95223)+~P1(f319(f55(x95227),x95225))+~P1(f319(f55(x95227),x95224))+E(f319(f66(x95221,x95221,x95222,f319(x95223,x95224)),f319(f66(x95221,x95221,x95222,f319(x95223,x95225)),x95226)),f319(f66(x95221,x95221,x95222,f319(x95223,x95225)),f319(f66(x95221,x95221,x95222,f319(x95223,x95224)),x95226))) % 219.27/219.54 [9531]~P35(x95311,x95312,x95313,x95314,x95317)+P35(x95311,x95312,x95313,f319(f319(f151(x95311,x95314),x95315),x95316),f319(f319(f151(x95312,x95317),x95315),x95318))+~P1(f319(f319(x95313,x95316),x95318))+~P1(f319(f319(f227(a925),x95315),f319(f181(f926(x95311)),x95314))) % 219.27/219.54 [9532]~P35(x95321,x95322,x95323,x95324,x95327)+P35(x95321,x95322,x95323,f319(f319(f151(x95321,x95324),x95325),x95326),f319(f319(f151(x95322,x95327),x95325),x95328))+~P1(f319(f319(x95323,x95326),x95328))+~P1(f319(f319(f227(a925),x95325),f319(f181(f926(x95322)),x95327))) % 219.27/219.54 [9612]~P26(x96122,x96122,x96125,x96126)+~P22(x96123,x96122,x96127,x96128,x96121)+~P1(f319(f55(x96122),x96126))+E(f319(f319(x96121,f319(f66(x96122,x96123,x96122,x96124),x96125)),x96126),f319(f319(x96121,x96124),f319(f302(x96122,x96122,x96125),x96126))) % 219.27/219.54 [9874]P27(x98741,x98742,x98743,x98744,x98745)+~P27(x98742,x98746,x98747,x98745,x98748)+~P27(x98741,x98746,f319(f66(x98742,x98746,x98741,x98747),x98743),x98744,x98748)+~P1(f319(f319(f226(f932(x98742,a923)),f319(f302(x98741,x98742,x98743),x98744)),x98745)) % 219.27/219.54 [9913]~P24(x99137,x99132,x99135,x99138,x99136,x99131)+~P1(f319(f55(x99132),x99134))+E(f319(x99131,f319(f319(f301(x99132),x99133),x99134)),f319(f319(x99135,f319(x99136,x99133)),f319(x99131,x99134)))+P1(f319(f319(f321(x99132),x99133),x99134)) % 219.27/219.54 [9925]~P23(x99256,x99255,x99251,x99257,x99258,x99252)+E(f319(f319(x99251,f319(x99252,x99253)),f319(x99252,x99254)),f319(x99252,x99254))+~P1(f319(f55(x99255),x99254))+~P1(f319(f319(f226(f932(x99255,a923)),x99253),x99254)) % 219.27/219.54 [9508]P1(f319(f319(f321(f931(f926(x95081),f926(x95081))),f319(f319(f244(f926(x95081),f926(x95081)),x95082),x95083)),f149(x95081,x95084)))+~E(x95083,f319(f319(f126(x95081),x95085),f319(f319(f143(x95081),x95086),x95087)))+~E(x95082,f319(f319(f126(x95081),x95085),f319(f319(f143(x95081),x95088),x95087)))+~P1(f319(f319(f321(f931(x95081,x95081)),f319(f319(f244(x95081,x95081),x95088),x95086)),x95084)) % 219.27/219.54 [9918]~P23(x99186,x99182,x99185,x99187,x99188,x99181)+~P1(f319(f55(x99182),x99184))+~P1(f319(f55(x99182),x99183))+E(f319(x99181,f319(f319(f102(f932(x99182,a923)),x99183),x99184)),f319(f319(x99185,f319(x99181,x99183)),f319(x99181,x99184))) % 219.27/219.54 [10490]~P26(x104904,x104902,x104905,x104908)+E(f319(f319(f34(x104901,f932(x104902,a923)),x104903),f319(f319(f8(f932(x104904,a923),f932(x104902,a923),x104901),f302(x104904,x104902,x104905)),x104906)),f319(f302(x104904,x104902,x104905),f319(f319(f34(x104901,f932(x104904,a923)),x104903),x104906)))+~P1(f319(f319(f321(x104901),x104907),x104903))+P1(f319(f319(f321(x104901),f899(x104907,x104906,x104903,x104901,x104908,x104905,x104902,x104904)),x104903)) % 219.27/219.54 [10517]~P26(x105174,x105172,x105175,x105177)+E(f319(f319(f34(x105171,f932(x105172,a923)),x105173),f319(f319(f8(f932(x105174,a923),f932(x105172,a923),x105171),f302(x105174,x105172,x105175)),x105176)),f319(f302(x105174,x105172,x105175),f319(f319(f34(x105171,f932(x105174,a923)),x105173),x105176)))+~P1(f319(f319(f321(x105171),x105178),x105173))+~P1(f319(f319(f226(f932(x105174,a923)),f319(x105176,f899(x105178,x105176,x105173,x105171,x105177,x105175,x105172,x105174))),x105177)) % 219.27/219.54 [10529]~P1(f319(f319(x105291,x105298),x105297))+P1(f319(f319(x105291,x105292),x105293))+~P1(f319(f319(f321(f931(f931(x105294,x105295),f931(x105294,x105295))),f319(f319(f244(f931(x105294,x105295),f931(x105294,x105295)),f319(f319(f244(x105294,x105295),x105292),x105293)),f319(f319(f244(x105294,x105295),x105298),x105297))),f299(f931(x105294,x105295),x105296)))+P1(f319(f319(f321(f931(f931(x105294,x105295),f931(x105294,x105295))),f319(f319(f244(f931(x105294,x105295),f931(x105294,x105295)),f319(f319(f244(x105294,x105295),f849(x105291,x105296,x105297,x105298,x105293,x105292,x105295,x105294)),f852(x105291,x105296,x105297,x105298,x105293,x105292,x105295,x105294))),f319(f319(f244(x105294,x105295),f848(x105291,x105296,x105297,x105298,x105293,x105292,x105295,x105294)),f853(x105291,x105296,x105297,x105298,x105293,x105292,x105295,x105294)))),x105296)) % 219.27/219.54 [10530]~P1(f319(f319(x105301,x105308),x105307))+P1(f319(f319(x105301,x105302),x105303))+~P1(f319(f319(f321(f931(f931(x105304,x105305),f931(x105304,x105305))),f319(f319(f244(f931(x105304,x105305),f931(x105304,x105305)),f319(f319(f244(x105304,x105305),x105308),x105307)),f319(f319(f244(x105304,x105305),x105302),x105303))),f299(f931(x105304,x105305),x105306)))+P1(f319(f319(f321(f931(f931(x105304,x105305),f931(x105304,x105305))),f319(f319(f244(f931(x105304,x105305),f931(x105304,x105305)),f319(f319(f244(x105304,x105305),f854(x105301,x105306,x105303,x105302,x105307,x105308,x105305,x105304)),f855(x105301,x105306,x105303,x105302,x105307,x105308,x105305,x105304))),f319(f319(f244(x105304,x105305),f862(x105301,x105306,x105303,x105302,x105307,x105308,x105305,x105304)),f863(x105301,x105306,x105303,x105302,x105307,x105308,x105305,x105304)))),x105306)) % 219.27/219.54 [9997]~P24(x99977,x99975,x99971,x99978,x99972,x99974)+~P1(f319(f55(x99975),x99976))+~P1(f319(f319(f321(x99975),x99973),x99976))+E(f319(f319(x99971,f319(x99972,x99973)),f319(x99974,f319(f319(f23(f932(x99975,a923)),x99976),f319(f319(f301(x99975),x99973),f180(f932(x99975,a923)))))),f319(x99974,x99976)) % 219.27/219.54 [10005]~P24(x100056,x100053,x100051,x100057,x100058,x100052)+~P1(f319(f55(x100053),x100055))+~P1(f319(f55(x100053),x100054))+E(f319(f319(x100051,f319(x100052,f319(f319(f102(f932(x100053,a923)),x100054),x100055))),f319(x100052,f319(f319(f93(f932(x100053,a923)),x100054),x100055))),f319(f319(x100051,f319(x100052,x100054)),f319(x100052,x100055))) % 219.27/219.54 [10095]P44(x100951,x100952,x100953,x100954,x100955,f319(f319(x100953,x100956),x100957))+~P44(x100951,x100952,x100953,x100954,f319(f319(f23(f932(x100951,a923)),x100955),f319(f319(f301(x100951),x100958),f180(f932(x100951,a923)))),x100959)+~E(f319(f319(x100953,x100956),x100957),f319(f319(x100953,x100958),x100959))+~P1(f319(f319(f321(x100951),x100958),x100955)) % 219.27/219.54 [10032]~P13(x100326,x100327,x100328,x100329,x1003210,x100321)+E(f319(f319(x100321,x100322),x100323),f319(f319(x100321,x100324),x100325))+~P1(f319(f319(f321(f931(x100327,x100327)),f319(f319(f244(x100327,x100327),x100323),x100325)),x1003210))+~P1(f319(f319(f321(f931(x100326,x100326)),f319(f319(f244(x100326,x100326),x100322),x100324)),x100329)) % 219.27/219.54 [9614]~P102(x96142)+E(x96141,f180(f932(x96142,a923)))+~P1(f319(f55(x96142),x96141))+P1(f319(f319(f321(x96142),f10(x96142,x96141)),x96141))+~P1(f319(f319(f321(x96142),f319(f319(f93(x96142),f911(x96141,x96142)),f913(x96141,x96142))),f319(f319(f301(x96142),f911(x96141,x96142)),f319(f319(f301(x96142),f913(x96141,x96142)),f180(f932(x96142,a923)))))) % 219.27/219.54 [9615]~P102(x96152)+E(x96151,f180(f932(x96152,a923)))+~P1(f319(f55(x96152),x96151))+P1(f319(f319(f321(x96152),f13(x96152,x96151)),x96151))+~P1(f319(f319(f321(x96152),f319(f319(f102(x96152),f915(x96151,x96152)),f918(x96151,x96152))),f319(f319(f301(x96152),f915(x96151,x96152)),f319(f319(f301(x96152),f918(x96151,x96152)),f180(f932(x96152,a923)))))) % 219.27/219.54 [9649]~P76(x96492)+E(x96491,f180(f932(x96492,a923)))+~P1(f319(f55(x96492),x96491))+P1(f319(f319(f321(x96492),f319(f57(x96492,f75(x96492)),x96491)),x96491))+~P1(f319(f319(f321(x96492),f319(f319(f75(x96492),f346(x96491,x96492)),f347(x96491,x96492))),f319(f319(f301(x96492),f346(x96491,x96492)),f319(f319(f301(x96492),f347(x96491,x96492)),f180(f932(x96492,a923)))))) % 219.27/219.54 [9654]~P4(x96542)+E(x96541,f180(f932(x96542,a923)))+~P1(f319(f55(x96542),x96541))+P1(f319(f319(f321(x96542),f11(x96542,f224(x96542),x96541)),x96541))+~P1(f319(f319(f321(x96542),f319(f319(f224(x96542),f481(x96541,x96542)),f482(x96541,x96542))),f319(f319(f301(x96542),f481(x96541,x96542)),f319(f319(f301(x96542),f482(x96541,x96542)),f180(f932(x96542,a923)))))) % 219.27/219.54 [9655]~P4(x96552)+E(x96551,f180(f932(x96552,a923)))+~P1(f319(f55(x96552),x96551))+P1(f319(f319(f321(x96552),f12(x96552,f225(x96552),x96551)),x96551))+~P1(f319(f319(f321(x96552),f319(f319(f225(x96552),f483(x96551,x96552)),f484(x96551,x96552))),f319(f319(f301(x96552),f483(x96551,x96552)),f319(f319(f301(x96552),f484(x96551,x96552)),f180(f932(x96552,a923)))))) % 219.27/219.54 [6747]~P93(x67472)+E(x67471,f2(x67472))+~E(f319(f319(f74(x67472),x67473),x67471),f2(x67472))+~P1(f319(f319(f226(x67472),f2(x67472)),x67473))+~P1(f319(f319(f226(x67472),f2(x67472)),x67471)) % 219.27/219.54 [6748]~P93(x67482)+E(x67481,f2(x67482))+~E(f319(f319(f74(x67482),x67481),x67483),f2(x67482))+~P1(f319(f319(f226(x67482),f2(x67482)),x67483))+~P1(f319(f319(f226(x67482),f2(x67482)),x67481)) % 219.27/219.54 [7286]~P4(x72862)+~P14(x72862,x72861)+E(x72861,f105(x72862))+~P1(f319(f319(f321(x72862),x72863),f319(f164(x72862),f729(x72861,x72862))))+P1(f319(f319(f226(x72862),f748(x72861,x72862)),x72863)) % 219.27/219.54 [7458]~P4(x74581)+E(f14(x74581,x74582),x74583)+~P1(f319(f55(x74581),x74582))+~P1(f319(f319(f226(x74581),x74583),f525(x74583,x74582,x74581)))+~P1(f319(f319(f321(x74581),x74583),x74582)) % 219.27/219.54 [7491]~P4(x74911)+~P14(x74911,x74912)+~P14(x74911,x74913)+P14(x74911,f319(f319(f126(x74911),x74912),x74913))+P1(f319(f319(f321(x74911),f735(x74913,x74912,x74911)),f319(f164(x74911),x74912))) % 219.27/219.54 [7492]~P4(x74921)+~P14(x74921,x74922)+~P14(x74921,x74923)+P14(x74921,f319(f319(f126(x74921),x74922),x74923))+P1(f319(f319(f321(x74921),f736(x74923,x74922,x74921)),f319(f164(x74921),x74923))) % 219.27/219.54 [7552]~P4(x75521)+E(f14(x75521,x75522),x75523)+~P1(f319(f55(x75521),x75522))+P1(f319(f319(f321(x75521),f525(x75523,x75522,x75521)),x75522))+~P1(f319(f319(f321(x75521),x75523),x75522)) % 219.27/219.54 [7553]~P4(x75531)+E(f15(x75531,x75532),x75533)+~P1(f319(f55(x75531),x75532))+P1(f319(f319(f321(x75531),f526(x75533,x75532,x75531)),x75532))+~P1(f319(f319(f321(x75531),x75533),x75532)) % 219.27/219.54 [8120]~P4(x81201)+E(f15(x81201,x81202),x81203)+~P1(f319(f55(x81201),x81202))+~P1(f319(f319(f321(x81201),x81203),x81202))+~P1(f319(f319(f226(x81201),f526(x81203,x81202,x81201)),x81203)) % 219.27/219.54 [8441]~P4(x84411)+~P14(x84411,x84412)+~P14(x84411,x84413)+P14(x84411,f319(f319(f126(x84411),x84412),x84413))+~P1(f319(f319(f226(x84411),f735(x84413,x84412,x84411)),f736(x84413,x84412,x84411))) % 219.27/219.54 [9246]~P102(x92462)+E(x92461,f180(f932(x92462,a923)))+~E(f319(f319(f93(x92462),f319(x92463,f914(x92461,x92463,x92462))),f319(x92463,f919(x92461,x92463,x92462))),f319(x92463,f319(f319(f93(x92462),f914(x92461,x92463,x92462)),f919(x92461,x92463,x92462))))+E(f10(x92462,f319(f302(x92462,x92462,x92463),x92461)),f319(x92463,f10(x92462,x92461)))+~P1(f319(f55(x92462),x92461)) % 219.27/219.54 [9247]~P102(x92472)+E(x92471,f180(f932(x92472,a923)))+~E(f319(f319(f102(x92472),f319(x92473,f920(x92471,x92473,x92472))),f319(x92473,f337(x92471,x92473,x92472))),f319(x92473,f319(f319(f102(x92472),f920(x92471,x92473,x92472)),f337(x92471,x92473,x92472))))+E(f13(x92472,f319(f302(x92472,x92472,x92473),x92471)),f319(x92473,f13(x92472,x92471)))+~P1(f319(f55(x92472),x92471)) % 219.27/219.54 [9248]~P4(x92482)+E(x92481,f180(f932(x92482,a923)))+~E(f319(f319(f224(x92482),f319(x92483,f485(x92481,x92483,x92482))),f319(x92483,f499(x92481,x92483,x92482))),f319(x92483,f319(f319(f224(x92482),f485(x92481,x92483,x92482)),f499(x92481,x92483,x92482))))+E(f14(x92482,f319(f302(x92482,x92482,x92483),x92481)),f319(x92483,f14(x92482,x92481)))+~P1(f319(f55(x92482),x92481)) % 219.27/219.54 [9249]~P4(x92492)+E(x92491,f180(f932(x92492,a923)))+~E(f319(f319(f225(x92492),f319(x92493,f486(x92491,x92493,x92492))),f319(x92493,f498(x92491,x92493,x92492))),f319(x92493,f319(f319(f225(x92492),f486(x92491,x92493,x92492)),f498(x92491,x92493,x92492))))+E(f15(x92492,f319(f302(x92492,x92492,x92493),x92491)),f319(x92493,f15(x92492,x92491)))+~P1(f319(f55(x92492),x92491)) % 219.27/219.54 [9318]~P4(x93182)+E(x93181,f180(f932(x93182,a923)))+~E(f319(f319(f224(x93182),f319(x93183,f487(x93181,x93183,x93182))),f319(x93183,f496(x93181,x93183,x93182))),f319(x93183,f319(f319(f224(x93182),f487(x93181,x93183,x93182)),f496(x93181,x93183,x93182))))+E(f11(x93182,f224(x93182),f319(f302(x93182,x93182,x93183),x93181)),f319(x93183,f11(x93182,f224(x93182),x93181)))+~P1(f319(f55(x93182),x93181)) % 219.27/219.54 [9319]~P4(x93192)+E(x93191,f180(f932(x93192,a923)))+~E(f319(f319(f225(x93192),f319(x93193,f488(x93191,x93193,x93192))),f319(x93193,f494(x93191,x93193,x93192))),f319(x93193,f319(f319(f225(x93192),f488(x93191,x93193,x93192)),f494(x93191,x93193,x93192))))+E(f12(x93192,f225(x93192),f319(f302(x93192,x93192,x93193),x93191)),f319(x93193,f12(x93192,f225(x93192),x93191)))+~P1(f319(f55(x93192),x93191)) % 219.27/219.54 [6763]~P76(x67632)+E(x67631,f180(f932(x67632,a923)))+~P1(f319(f55(x67632),x67631))+E(f319(f57(x67632,f75(x67632)),f319(f319(f301(x67632),x67633),x67631)),f319(f319(f75(x67632),x67633),f319(f57(x67632,f75(x67632)),x67631)))+P1(f319(f319(f321(x67632),x67633),x67631)) % 219.27/219.54 [7293]~P102(x72932)+E(f319(f319(f102(x72932),f13(x72932,x72931)),f13(x72932,x72933)),f13(x72932,x72933))+E(x72931,f180(f932(x72932,a923)))+~P1(f319(f55(x72932),x72933))+~P1(f319(f319(f226(f932(x72932,a923)),x72931),x72933)) % 219.27/219.54 [7294]~P102(x72942)+E(f319(f319(f93(x72942),f10(x72942,x72941)),f10(x72942,x72943)),f10(x72942,x72943))+E(x72941,f180(f932(x72942,a923)))+~P1(f319(f55(x72942),x72943))+~P1(f319(f319(f226(f932(x72942,a923)),x72941),x72943)) % 219.27/219.54 [7295]~P4(x72952)+E(f319(f319(f224(x72952),f14(x72952,x72951)),f14(x72952,x72953)),f14(x72952,x72953))+E(x72951,f180(f932(x72952,a923)))+~P1(f319(f55(x72952),x72953))+~P1(f319(f319(f226(f932(x72952,a923)),x72951),x72953)) % 219.27/219.54 [7296]~P4(x72962)+E(f319(f319(f225(x72962),f15(x72962,x72961)),f15(x72962,x72963)),f15(x72962,x72963))+E(x72961,f180(f932(x72962,a923)))+~P1(f319(f55(x72962),x72963))+~P1(f319(f319(f226(f932(x72962,a923)),x72961),x72963)) % 219.27/219.54 [7599]~P4(x75992)+E(x75991,f180(f932(x75992,a923)))+~P1(f319(f55(x75992),x75993))+P1(f319(f319(f226(x75992),f14(x75992,x75993)),f14(x75992,x75991)))+~P1(f319(f319(f226(f932(x75992,a923)),x75991),x75993)) % 219.27/219.54 [7600]~P4(x76002)+E(x76001,f180(f932(x76002,a923)))+~P1(f319(f55(x76002),x76003))+P1(f319(f319(f226(x76002),f15(x76002,x76001)),f15(x76002,x76003)))+~P1(f319(f319(f226(f932(x76002,a923)),x76001),x76003)) % 219.27/219.54 [7653]~P102(x76531)+E(f10(x76531,x76532),x76533)+~P1(f319(f55(x76531),x76532))+~E(f319(f319(f23(f932(x76531,a923)),x76532),f319(f319(f301(x76531),x76533),f180(f932(x76531,a923)))),f180(f932(x76531,a923)))+~P1(f319(f319(f321(x76531),x76533),x76532)) % 219.27/219.54 [7654]~P102(x76541)+E(f13(x76541,x76542),x76543)+~P1(f319(f55(x76541),x76542))+~E(f319(f319(f23(f932(x76541,a923)),x76542),f319(f319(f301(x76541),x76543),f180(f932(x76541,a923)))),f180(f932(x76541,a923)))+~P1(f319(f319(f321(x76541),x76543),x76542)) % 219.27/219.54 [7655]~P4(x76551)+E(f14(x76551,x76552),x76553)+~P1(f319(f55(x76551),x76552))+~E(f319(f319(f23(f932(x76551,a923)),x76552),f319(f319(f301(x76551),x76553),f180(f932(x76551,a923)))),f180(f932(x76551,a923)))+~P1(f319(f319(f321(x76551),x76553),x76552)) % 219.27/219.54 [7656]~P4(x76561)+E(f15(x76561,x76562),x76563)+~P1(f319(f55(x76561),x76562))+~E(f319(f319(f23(f932(x76561,a923)),x76562),f319(f319(f301(x76561),x76563),f180(f932(x76561,a923)))),f180(f932(x76561,a923)))+~P1(f319(f319(f321(x76561),x76563),x76562)) % 219.27/219.54 [7749]~P4(x77491)+E(f11(x77491,f224(x77491),x77492),x77493)+~P1(f319(f55(x77491),x77492))+~E(f319(f319(f23(f932(x77491,a923)),x77492),f319(f319(f301(x77491),x77493),f180(f932(x77491,a923)))),f180(f932(x77491,a923)))+~P1(f319(f319(f321(x77491),x77493),x77492)) % 219.27/219.54 [7750]~P4(x77501)+E(f12(x77501,f225(x77501),x77502),x77503)+~P1(f319(f55(x77501),x77502))+~E(f319(f319(f23(f932(x77501,a923)),x77502),f319(f319(f301(x77501),x77503),f180(f932(x77501,a923)))),f180(f932(x77501,a923)))+~P1(f319(f319(f321(x77501),x77503),x77502)) % 219.27/219.54 [7785]~P108(x77852)+E(x77851,f180(f932(x77852,a923)))+~P1(f319(f55(x77852),x77851))+~P1(f319(f319(f226(x77852),x77853),f338(x77853,x77851,x77852)))+P1(f319(f319(f226(x77852),x77853),f319(f57(x77852,f93(x77852)),x77851))) % 219.27/219.54 [7786]~P4(x77862)+E(x77861,f180(f932(x77862,a923)))+~P1(f319(f55(x77862),x77861))+~P1(f319(f319(f226(x77862),x77863),f475(x77863,x77861,x77862)))+P1(f319(f319(f226(x77862),x77863),f319(f57(x77862,f224(x77862)),x77861))) % 219.27/219.54 [7787]~P4(x77872)+E(x77871,f180(f932(x77872,a923)))+~P1(f319(f55(x77872),x77871))+~P1(f319(f319(f227(x77872),x77873),f477(x77873,x77871,x77872)))+P1(f319(f319(f227(x77872),x77873),f319(f57(x77872,f224(x77872)),x77871))) % 219.27/219.54 [7874]~P108(x78742)+E(x78741,f180(f932(x78742,a923)))+~P1(f319(f55(x78742),x78741))+P1(f319(f319(f321(x78742),f338(x78743,x78741,x78742)),x78741))+P1(f319(f319(f226(x78742),x78743),f319(f57(x78742,f93(x78742)),x78741))) % 219.27/219.54 [7875]~P4(x78752)+E(x78751,f180(f932(x78752,a923)))+~P1(f319(f55(x78752),x78751))+P1(f319(f319(f321(x78752),f475(x78753,x78751,x78752)),x78751))+P1(f319(f319(f226(x78752),x78753),f319(f57(x78752,f224(x78752)),x78751))) % 219.27/219.54 [7876]~P4(x78762)+E(x78761,f180(f932(x78762,a923)))+~P1(f319(f55(x78762),x78761))+P1(f319(f319(f321(x78762),f477(x78763,x78761,x78762)),x78761))+P1(f319(f319(f227(x78762),x78763),f319(f57(x78762,f224(x78762)),x78761))) % 219.27/219.54 [7996]~P4(x79962)+E(x79961,f180(f932(x79962,a923)))+E(f319(f319(f224(x79962),f11(x79962,f224(x79962),x79961)),f11(x79962,f224(x79962),x79963)),f11(x79962,f224(x79962),x79963))+~P1(f319(f55(x79962),x79963))+~P1(f319(f319(f226(f932(x79962,a923)),x79961),x79963)) % 219.27/219.54 [7997]~P4(x79972)+E(x79971,f180(f932(x79972,a923)))+E(f319(f319(f225(x79972),f12(x79972,f225(x79972),x79971)),f12(x79972,f225(x79972),x79973)),f12(x79972,f225(x79972),x79973))+~P1(f319(f55(x79972),x79973))+~P1(f319(f319(f226(f932(x79972,a923)),x79971),x79973)) % 219.27/219.54 [8199]~E(f502(x81991,x81993,x81992),f503(x81991,x81993,x81992))+~E(f319(f29(x81992),f504(x81991,x81993,x81992)),x81991)+E(f319(f319(f75(a925),x81991),f319(f29(f932(x81992,a923)),x81993)),f319(f29(x81992),f31(f932(x81992,a923),x81993)))+~P1(f319(f55(x81992),f31(f932(x81992,a923),x81993)))+~P1(f319(f55(f932(x81992,a923)),x81993)) % 219.27/219.54 [8380]~P4(x83802)+E(x83801,f180(f932(x83802,a923)))+~P1(f319(f55(x83802),x83803))+P1(f319(f319(f226(x83802),f319(f57(x83802,f224(x83802)),x83803)),f319(f57(x83802,f224(x83802)),x83801)))+~P1(f319(f319(f226(f932(x83802,a923)),x83801),x83803)) % 219.27/219.54 [8684]~E(f502(x86841,x86843,x86842),f503(x86841,x86843,x86842))+E(f319(f319(f75(a925),x86841),f319(f29(f932(x86842,a923)),x86843)),f319(f29(x86842),f31(f932(x86842,a923),x86843)))+P1(f319(f319(f321(f932(x86842,a923)),f504(x86841,x86843,x86842)),x86843))+~P1(f319(f55(x86842),f31(f932(x86842,a923),x86843)))+~P1(f319(f55(f932(x86842,a923)),x86843)) % 219.27/219.54 [8710]~E(f319(f29(x87102),f504(x87101,x87103,x87102)),x87101)+E(f319(f319(f75(a925),x87101),f319(f29(f932(x87102,a923)),x87103)),f319(f29(x87102),f31(f932(x87102,a923),x87103)))+P1(f319(f319(f321(f932(x87102,a923)),f503(x87101,x87103,x87102)),x87103))+~P1(f319(f55(x87102),f31(f932(x87102,a923),x87103)))+~P1(f319(f55(f932(x87102,a923)),x87103)) % 219.27/219.54 [8711]~E(f319(f29(x87112),f504(x87111,x87113,x87112)),x87111)+E(f319(f319(f75(a925),x87111),f319(f29(f932(x87112,a923)),x87113)),f319(f29(x87112),f31(f932(x87112,a923),x87113)))+P1(f319(f319(f321(f932(x87112,a923)),f502(x87111,x87113,x87112)),x87113))+~P1(f319(f55(x87112),f31(f932(x87112,a923),x87113)))+~P1(f319(f55(f932(x87112,a923)),x87113)) % 219.27/219.54 [8738]~E(f319(f29(x87382),f504(x87381,x87383,x87382)),x87381)+~E(f319(f319(f93(f932(x87382,a923)),f503(x87381,x87383,x87382)),f502(x87381,x87383,x87382)),f180(f932(x87382,a923)))+E(f319(f319(f75(a925),x87381),f319(f29(f932(x87382,a923)),x87383)),f319(f29(x87382),f31(f932(x87382,a923),x87383)))+~P1(f319(f55(f932(x87382,a923)),x87383))+~P1(f319(f55(x87382),f31(f932(x87382,a923),x87383))) % 219.27/219.54 [9004]E(f319(f319(f75(a925),x90041),f319(f29(f932(x90042,a923)),x90043)),f319(f29(x90042),f31(f932(x90042,a923),x90043)))+P1(f319(f319(f321(f932(x90042,a923)),f504(x90041,x90043,x90042)),x90043))+P1(f319(f319(f321(f932(x90042,a923)),f503(x90041,x90043,x90042)),x90043))+~P1(f319(f55(f932(x90042,a923)),x90043))+~P1(f319(f55(x90042),f31(f932(x90042,a923),x90043))) % 219.27/219.54 [9005]E(f319(f319(f75(a925),x90051),f319(f29(f932(x90052,a923)),x90053)),f319(f29(x90052),f31(f932(x90052,a923),x90053)))+P1(f319(f319(f321(f932(x90052,a923)),f504(x90051,x90053,x90052)),x90053))+P1(f319(f319(f321(f932(x90052,a923)),f502(x90051,x90053,x90052)),x90053))+~P1(f319(f55(f932(x90052,a923)),x90053))+~P1(f319(f55(x90052),f31(f932(x90052,a923),x90053))) % 219.27/219.54 [9031]~E(f319(f319(f93(f932(x90312,a923)),f503(x90311,x90313,x90312)),f502(x90311,x90313,x90312)),f180(f932(x90312,a923)))+E(f319(f319(f75(a925),x90311),f319(f29(f932(x90312,a923)),x90313)),f319(f29(x90312),f31(f932(x90312,a923),x90313)))+~P1(f319(f55(f932(x90312,a923)),x90313))+P1(f319(f319(f321(f932(x90312,a923)),f504(x90311,x90313,x90312)),x90313))+~P1(f319(f55(x90312),f31(f932(x90312,a923),x90313))) % 219.27/219.54 [9293]~P101(x92932)+E(x92931,f180(f932(x92932,a923)))+~E(f319(f319(f75(x92932),f319(x92933,f345(x92931,x92933,x92932))),f319(x92933,f348(x92931,x92933,x92932))),f319(x92933,f319(f319(f75(x92932),f345(x92931,x92933,x92932)),f348(x92931,x92933,x92932))))+~P1(f319(f55(x92932),x92931))+E(f319(f57(x92932,f75(x92932)),f319(f302(x92932,x92932,x92933),x92931)),f319(x92933,f319(f57(x92932,f75(x92932)),x92931))) % 219.27/219.54 [10256]P1(f319(f319(x102561,x102562),x102563))+P1(f319(f319(f227(a1),f536(x102561,x102563,x102562)),f538(x102561,x102563,x102562)))+P1(f319(f319(f226(a1),f538(x102561,x102563,x102562)),f2(a1)))+P1(f319(f319(x102561,f536(x102561,x102563,x102562)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f538(x102561,x102563,x102562))))+~P1(f319(f307(f931(a1,a1),a52),f319(f319(f244(a1,a1),x102562),x102563))) % 219.27/219.54 [10262]P1(f319(f319(x102621,x102622),x102623))+P1(f319(f319(f226(a1),f535(x102621,x102623,x102622)),f2(a1)))+P1(f319(f319(x102621,f531(x102621,x102623,x102622)),f319(f319(f75(a1),f319(f95(a1),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f535(x102621,x102623,x102622))))+P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),f531(x102621,x102623,x102622)),f535(x102621,x102623,x102622))))+~P1(f319(f307(f931(a1,a1),a46),f319(f319(f244(a1,a1),x102622),x102623))) % 219.27/219.54 [8170]~P126(x81701)+~P1(f319(f319(f226(x81701),x81702),f72(x81701)))+~P1(f319(f319(f226(x81701),f2(x81701)),x81702))+~P1(f319(f319(f226(x81701),f2(x81701)),x81703))+P1(f319(f319(f226(x81701),f319(f319(f75(x81701),x81702),x81703)),x81703)) % 219.27/219.54 [8171]~P126(x81711)+~P1(f319(f319(f226(x81711),x81713),f72(x81711)))+~P1(f319(f319(f226(x81711),f2(x81711)),x81713))+~P1(f319(f319(f226(x81711),f2(x81711)),x81712))+P1(f319(f319(f226(x81711),f319(f319(f75(x81711),x81712),x81713)),x81712)) % 219.27/219.54 [8528]~P4(x85282)+E(x85281,f180(f932(x85282,a923)))+~P1(f319(f55(x85282),x85281))+P1(f319(f319(f226(x85282),f476(x85283,x85281,x85282)),x85283))+~P1(f319(f319(f226(x85282),f319(f57(x85282,f224(x85282)),x85281)),x85283)) % 219.27/219.54 [8529]~P4(x85292)+E(x85291,f180(f932(x85292,a923)))+~P1(f319(f55(x85292),x85291))+P1(f319(f319(f321(x85292),f476(x85293,x85291,x85292)),x85291))+~P1(f319(f319(f226(x85292),f319(f57(x85292,f224(x85292)),x85291)),x85293)) % 219.27/219.54 [8530]~P4(x85302)+E(x85301,f180(f932(x85302,a923)))+~P1(f319(f55(x85302),x85301))+P1(f319(f319(f321(x85302),f478(x85303,x85301,x85302)),x85301))+~P1(f319(f319(f227(x85302),f319(f57(x85302,f224(x85302)),x85301)),x85303)) % 219.27/219.54 [8531]~P4(x85312)+E(x85311,f180(f932(x85312,a923)))+~P1(f319(f55(x85312),x85311))+P1(f319(f319(f227(x85312),f478(x85313,x85311,x85312)),x85313))+~P1(f319(f319(f227(x85312),f319(f57(x85312,f224(x85312)),x85311)),x85313)) % 219.27/219.54 [8618]~P1(f319(x86181,x86183))+P1(f319(x86181,f390(x86181,x86182)))+P1(f319(x86181,f379(x86181,x86182)))+~P1(f319(f319(f227(a1),f2(a1)),x86182))+P1(f319(x86181,f319(f319(f23(a1),f379(x86181,x86182)),f319(f319(f75(a1),f391(x86181,x86182)),x86182)))) % 219.27/219.54 [8840]~P1(f319(x88401,x88403))+P1(f319(x88401,f379(x88401,x88402)))+~P1(f319(f319(f227(a1),f2(a1)),x88402))+P1(f319(f319(f321(a1),f390(x88401,x88402)),f295(a1,f72(a1),x88402)))+P1(f319(x88401,f319(f319(f23(a1),f379(x88401,x88402)),f319(f319(f75(a1),f391(x88401,x88402)),x88402)))) % 219.27/219.54 [9053]~P1(f319(x90531,x90533))+~P1(f319(x90531,f379(x90531,x90532)))+P1(f319(x90531,f390(x90531,x90532)))+~P1(f319(f319(f227(a1),f2(a1)),x90532))+~P1(f319(x90531,f319(f319(f23(a1),f379(x90531,x90532)),f319(f319(f75(a1),f391(x90531,x90532)),x90532)))) % 219.27/219.54 [9182]~P1(f319(x91821,x91823))+~P1(f319(x91821,f379(x91821,x91822)))+~P1(f319(f319(f227(a1),f2(a1)),x91822))+P1(f319(f319(f321(a1),f390(x91821,x91822)),f295(a1,f72(a1),x91822)))+~P1(f319(x91821,f319(f319(f23(a1),f379(x91821,x91822)),f319(f319(f75(a1),f391(x91821,x91822)),x91822)))) % 219.27/219.54 [8958]~P102(x89581)+~P1(f319(f55(x89581),x89582))+E(f319(f319(f23(f932(x89581,a923)),x89582),f319(f319(f301(x89581),x89583),f180(f932(x89581,a923)))),f180(f932(x89581,a923)))+~P1(f319(f319(f321(x89581),x89583),x89582))+E(f319(f319(f93(x89581),x89583),f10(x89581,f319(f319(f23(f932(x89581,a923)),x89582),f319(f319(f301(x89581),x89583),f180(f932(x89581,a923)))))),f10(x89581,x89582)) % 219.27/219.54 [8959]~P102(x89591)+~P1(f319(f55(x89591),x89592))+E(f319(f319(f23(f932(x89591,a923)),x89592),f319(f319(f301(x89591),x89593),f180(f932(x89591,a923)))),f180(f932(x89591,a923)))+~P1(f319(f319(f321(x89591),x89593),x89592))+E(f319(f319(f102(x89591),x89593),f13(x89591,f319(f319(f23(f932(x89591,a923)),x89592),f319(f319(f301(x89591),x89593),f180(f932(x89591,a923)))))),f13(x89591,x89592)) % 219.27/219.54 [8960]~P4(x89601)+~P1(f319(f55(x89601),x89602))+E(f319(f319(f23(f932(x89601,a923)),x89602),f319(f319(f301(x89601),x89603),f180(f932(x89601,a923)))),f180(f932(x89601,a923)))+~P1(f319(f319(f321(x89601),x89603),x89602))+E(f319(f319(f224(x89601),x89603),f14(x89601,f319(f319(f23(f932(x89601,a923)),x89602),f319(f319(f301(x89601),x89603),f180(f932(x89601,a923)))))),f14(x89601,x89602)) % 219.27/219.54 [8961]~P4(x89611)+~P1(f319(f55(x89611),x89612))+E(f319(f319(f23(f932(x89611,a923)),x89612),f319(f319(f301(x89611),x89613),f180(f932(x89611,a923)))),f180(f932(x89611,a923)))+~P1(f319(f319(f321(x89611),x89613),x89612))+E(f319(f319(f225(x89611),x89613),f15(x89611,f319(f319(f23(f932(x89611,a923)),x89612),f319(f319(f301(x89611),x89613),f180(f932(x89611,a923)))))),f15(x89611,x89612)) % 219.27/219.54 [9024]~P4(x90241)+~P1(f319(f55(x90241),x90242))+E(f319(f319(f23(f932(x90241,a923)),x90242),f319(f319(f301(x90241),x90243),f180(f932(x90241,a923)))),f180(f932(x90241,a923)))+~P1(f319(f319(f321(x90241),x90243),x90242))+E(f319(f319(f224(x90241),x90243),f11(x90241,f224(x90241),f319(f319(f23(f932(x90241,a923)),x90242),f319(f319(f301(x90241),x90243),f180(f932(x90241,a923)))))),f11(x90241,f224(x90241),x90242)) % 219.27/219.54 [9025]~P4(x90251)+~P1(f319(f55(x90251),x90252))+E(f319(f319(f23(f932(x90251,a923)),x90252),f319(f319(f301(x90251),x90253),f180(f932(x90251,a923)))),f180(f932(x90251,a923)))+~P1(f319(f319(f321(x90251),x90253),x90252))+E(f319(f319(f225(x90251),x90253),f12(x90251,f225(x90251),f319(f319(f23(f932(x90251,a923)),x90252),f319(f319(f301(x90251),x90253),f180(f932(x90251,a923)))))),f12(x90251,f225(x90251),x90252)) % 219.27/219.54 [9040]~P102(x90401)+~P1(f319(f55(x90401),x90403))+~P1(f319(f55(x90401),x90402))+E(f319(f319(f93(f932(x90401,a923)),x90402),x90403),f180(f932(x90401,a923)))+E(f319(f319(f102(x90401),f13(x90401,f319(f319(f102(f932(x90401,a923)),x90402),x90403))),f13(x90401,f319(f319(f93(f932(x90401,a923)),x90402),x90403))),f319(f319(f102(x90401),f13(x90401,x90402)),f13(x90401,x90403))) % 219.27/219.54 [9041]~P102(x90411)+~P1(f319(f55(x90411),x90413))+~P1(f319(f55(x90411),x90412))+E(f319(f319(f93(f932(x90411,a923)),x90412),x90413),f180(f932(x90411,a923)))+E(f319(f319(f93(x90411),f10(x90411,f319(f319(f102(f932(x90411,a923)),x90412),x90413))),f10(x90411,f319(f319(f93(f932(x90411,a923)),x90412),x90413))),f319(f319(f93(x90411),f10(x90411,x90412)),f10(x90411,x90413))) % 219.27/219.54 [9042]~P4(x90421)+~P1(f319(f55(x90421),x90423))+~P1(f319(f55(x90421),x90422))+E(f319(f319(f93(f932(x90421,a923)),x90422),x90423),f180(f932(x90421,a923)))+E(f319(f319(f224(x90421),f14(x90421,f319(f319(f102(f932(x90421,a923)),x90422),x90423))),f14(x90421,f319(f319(f93(f932(x90421,a923)),x90422),x90423))),f319(f319(f224(x90421),f14(x90421,x90422)),f14(x90421,x90423))) % 219.27/219.54 [9043]~P4(x90431)+~P1(f319(f55(x90431),x90433))+~P1(f319(f55(x90431),x90432))+E(f319(f319(f93(f932(x90431,a923)),x90432),x90433),f180(f932(x90431,a923)))+E(f319(f319(f225(x90431),f15(x90431,f319(f319(f102(f932(x90431,a923)),x90432),x90433))),f15(x90431,f319(f319(f93(f932(x90431,a923)),x90432),x90433))),f319(f319(f225(x90431),f15(x90431,x90432)),f15(x90431,x90433))) % 219.27/219.54 [9265]~P4(x92651)+~P1(f319(f55(x92651),x92653))+~P1(f319(f55(x92651),x92652))+E(f319(f319(f93(f932(x92651,a923)),x92652),x92653),f180(f932(x92651,a923)))+E(f319(f319(f224(x92651),f11(x92651,f224(x92651),f319(f319(f102(f932(x92651,a923)),x92652),x92653))),f11(x92651,f224(x92651),f319(f319(f93(f932(x92651,a923)),x92652),x92653))),f319(f319(f224(x92651),f11(x92651,f224(x92651),x92652)),f11(x92651,f224(x92651),x92653))) % 219.27/219.54 [9266]~P4(x92661)+~P1(f319(f55(x92661),x92663))+~P1(f319(f55(x92661),x92662))+E(f319(f319(f93(f932(x92661,a923)),x92662),x92663),f180(f932(x92661,a923)))+E(f319(f319(f225(x92661),f12(x92661,f225(x92661),f319(f319(f102(f932(x92661,a923)),x92662),x92663))),f12(x92661,f225(x92661),f319(f319(f93(f932(x92661,a923)),x92662),x92663))),f319(f319(f225(x92661),f12(x92661,f225(x92661),x92662)),f12(x92661,f225(x92661),x92663))) % 219.27/219.54 [10092]~P129(x100923)+E(x100921,x100922)+~P1(f319(f319(f226(x100923),f2(x100923)),x100922))+~P1(f319(f319(f226(x100923),f2(x100923)),x100921))+~E(f319(f319(f236(x100923),x100921),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)))),f319(f319(f236(x100923),x100922),f319(f95(a925),f319(f319(f74(a1),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89)),f319(f319(f23(a1),f319(f319(f74(a1),a77),a77)),a89))))) % 219.27/219.54 [6094]~P65(x60942)+E(x60941,f2(x60942))+~E(f319(f319(f30(x60942),x60943),x60941),x60944)+E(x60943,f319(f319(f75(x60942),x60944),x60941))+~P1(f319(f319(f279(x60942),x60941),x60943)) % 219.27/219.54 [6095]~P65(x60952)+E(x60951,f2(x60952))+~E(x60953,f319(f319(f75(x60952),x60954),x60951))+E(f319(f319(f30(x60952),x60953),x60951),x60954)+~P1(f319(f319(f279(x60952),x60951),x60953)) % 219.27/219.54 [6559]E(f355(x65591,x65592,x65593),x65594)+E(f319(x65591,x65594),f2(a925))+~E(f319(f319(f6(x65593,a925),x65591),x65592),f72(a925))+~P1(f319(f55(x65593),x65592))+~P1(f319(f319(f321(x65593),x65594),x65592)) % 219.27/219.54 [6623]E(f418(x66231,x66232,x66233),x66234)+E(f319(x66231,x66234),f2(a925))+~E(f319(f319(f6(x66233,a925),x66231),x66232),f319(a104,f2(a925)))+~P1(f319(f55(x66233),x66232))+~P1(f319(f319(f321(x66233),x66234),x66232)) % 219.27/219.54 [6733]~P4(x67331)+~P6(x67331)+P1(f319(f319(f227(x67331),x67332),f31(x67331,x67333)))+~P1(f319(f319(f227(x67331),x67332),x67334))+~P1(f319(f319(f321(x67331),x67334),x67333)) % 219.27/219.54 [6911]~P4(x69111)+~P6(x69111)+~P1(f319(f319(f227(x69111),x69114),x69113))+P1(f319(f319(f227(x69111),f32(x69111,x69112)),x69113))+~P1(f319(f319(f321(x69111),x69114),x69112)) % 219.27/219.54 [7172]~P129(x71723)+E(x71721,x71722)+~E(f319(f319(f236(x71723),x71721),f319(a104,x71724)),f319(f319(f236(x71723),x71722),f319(a104,x71724)))+~P1(f319(f319(f226(x71723),f2(x71723)),x71722))+~P1(f319(f319(f226(x71723),f2(x71723)),x71721)) % 219.27/219.54 [7384]~E(f359(x73842,x73843,x73841,x73844),x73844)+~E(f319(x73842,x73844),f72(a925))+E(f319(f319(f6(x73841,a925),x73842),x73843),f72(a925))+~P1(f319(f55(x73841),x73843))+~P1(f319(f319(f321(x73841),x73844),x73843)) % 219.27/219.54 [7391]~P121(x73914)+~P138(x73914)+E(f319(x73911,f455(x73911,x73912,x73913,x73914)),f2(x73914))+~E(f319(f319(f9(x73913,x73914),x73911),x73912),f2(x73914))+~P1(f319(f55(x73913),x73912)) % 219.27/219.54 [7481]~E(f421(x74812,x74813,x74811,x74814),x74814)+~E(f319(x74812,x74814),f319(a104,f2(a925)))+E(f319(f319(f6(x74811,a925),x74812),x74813),f319(a104,f2(a925)))+~P1(f319(f55(x74811),x74813))+~P1(f319(f319(f321(x74811),x74814),x74813)) % 219.27/219.54 [8212]~E(f319(x82122,x82124),f72(a925))+~E(f319(x82122,f359(x82122,x82123,x82121,x82124)),f2(a925))+E(f319(f319(f6(x82121,a925),x82122),x82123),f72(a925))+~P1(f319(f55(x82121),x82123))+~P1(f319(f319(f321(x82121),x82124),x82123)) % 219.27/219.54 [8250]~E(f319(x82502,x82504),f319(a104,f2(a925)))+~E(f319(x82502,f421(x82502,x82503,x82501,x82504)),f2(a925))+E(f319(f319(f6(x82501,a925),x82502),x82503),f319(a104,f2(a925)))+~P1(f319(f55(x82501),x82503))+~P1(f319(f319(f321(x82501),x82504),x82503)) % 219.27/219.54 [8336]~P143(x83362)+~P123(x83362)+~P1(f319(x83361,x83364))+~P1(f319(f319(f279(x83362),x83363),f319(f319(f74(x83362),x83364),f2(x83362))))+P1(f319(x83361,f319(f319(f75(x83362),x83363),f872(x83363,x83361,x83362)))) % 219.27/219.54 [8807]~P4(x88071)+~P14(x88071,x88074)+P14(x88071,x88072)+~E(x88072,f319(f319(f143(x88071),x88073),x88074))+~P1(f319(f319(f226(x88071),x88073),f749(x88072,x88071,x88074,x88073))) % 219.27/219.54 [8844]E(x88441,x88442)+E(f319(f319(f23(a1),f393(x88443,x88442,x88444,x88441)),f394(x88443,x88442,x88444,x88441)),x88441)+~E(f319(f319(f74(a1),x88441),x88444),x88442)+~P1(f319(f319(f227(a1),f2(a1)),x88444))+~P1(f319(f319(f321(a1),x88442),x88443)) % 219.27/219.54 [8845]E(x88451,x88452)+E(f319(f319(f74(a1),f396(x88453,x88452,x88454,x88451)),f397(x88453,x88452,x88454,x88451)),x88451)+~E(f319(f319(f23(a1),x88451),x88454),x88452)+~P1(f319(f319(f227(a1),f2(a1)),x88454))+~P1(f319(f319(f321(a1),x88452),x88453)) % 219.27/219.54 [9038]E(f319(x90381,f616(x90382,x90381,x90383,x90384)),x90382)+P1(f319(f319(f226(a925),x90384),f617(x90382,x90381,x90383,x90384)))+~P1(f319(f319(f226(a1),x90382),f319(x90381,x90383)))+~P1(f319(f319(f227(a925),x90384),x90383))+~P1(f319(f319(f226(a1),f319(x90381,x90384)),x90382)) % 219.27/219.54 [9039]~P4(x90391)+~P14(x90391,x90393)+P14(x90391,x90392)+~E(x90392,f319(f319(f143(x90391),x90394),x90393))+P1(f319(f319(f321(x90391),f749(x90392,x90391,x90393,x90394)),f319(f164(x90391),x90393))) % 219.27/219.54 [9057]~P121(x90574)+~P138(x90574)+~E(f319(f319(f9(x90571,x90574),x90572),x90573),f2(x90574))+~P1(f319(f55(x90571),x90573))+P1(f319(f319(f321(x90571),f455(x90572,x90573,x90571,x90574)),x90573)) % 219.27/219.54 [9096]~E(f319(x90962,x90964),f72(a925))+E(f319(f319(f6(x90961,a925),x90962),x90963),f72(a925))+~P1(f319(f55(x90961),x90963))+~P1(f319(f319(f321(x90961),x90964),x90963))+P1(f319(f319(f321(x90961),f359(x90962,x90963,x90961,x90964)),x90963)) % 219.27/219.54 [9108]E(x91081,x91082)+~E(f319(f319(f74(a1),x91082),x91084),x91081)+~P1(f319(f319(f227(a1),f2(a1)),x91084))+~P1(f319(f319(f321(a1),x91081),x91083))+P1(f319(f319(f321(a1),f393(x91083,x91081,x91084,x91082)),x91083)) % 219.27/219.54 [9109]E(x91091,x91092)+~E(f319(f319(f23(a1),x91092),x91094),x91091)+~P1(f319(f319(f227(a1),f2(a1)),x91094))+~P1(f319(f319(f321(a1),x91091),x91093))+P1(f319(f319(f321(a1),f396(x91093,x91091,x91094,x91092)),x91093)) % 219.27/219.54 [9111]~E(f319(x91112,x91114),f319(a104,f2(a925)))+E(f319(f319(f6(x91111,a925),x91112),x91113),f319(a104,f2(a925)))+~P1(f319(f55(x91111),x91113))+~P1(f319(f319(f321(x91111),x91114),x91113))+P1(f319(f319(f321(x91111),f421(x91112,x91113,x91111,x91114)),x91113)) % 219.27/219.54 [9116]P63(x91162,x91163,x91164,x91161)+E(x91161,f180(f932(x91162,a923)))+~P1(f319(f55(x91162),x91164))+~P1(f319(f55(x91162),x91161))+P1(f319(f319(f321(x91162),f817(x91163,x91161,x91164,x91162)),x91164)) % 219.27/219.54 [9117]P63(x91172,x91173,x91174,x91171)+E(x91171,f180(f932(x91172,a923)))+~P1(f319(f55(x91172),x91174))+~P1(f319(f55(x91172),x91171))+P1(f319(f319(f321(x91172),f561(x91171,x91174,x91173,x91172)),x91174)) % 219.27/219.54 [9118]P63(x91182,x91183,x91184,x91181)+E(x91181,f180(f932(x91182,a923)))+~P1(f319(f55(x91182),x91184))+~P1(f319(f55(x91182),x91181))+P1(f319(f319(f321(x91182),f818(x91181,x91184,x91183,x91182)),x91184)) % 219.27/219.54 [9195]E(x91951,x91952)+~E(f319(f319(f74(a1),x91952),x91954),x91951)+~P1(f319(f319(f227(a1),f2(a1)),x91954))+~P1(f319(f319(f321(a1),x91951),x91953))+P1(f319(f319(f321(a1),f394(x91953,x91951,x91954,x91952)),f295(a1,f72(a1),x91954))) % 219.27/219.54 [9196]E(x91961,x91962)+~E(f319(f319(f23(a1),x91962),x91964),x91961)+~P1(f319(f319(f227(a1),f2(a1)),x91964))+~P1(f319(f319(f321(a1),x91961),x91963))+P1(f319(f319(f321(a1),f397(x91963,x91961,x91964,x91962)),f295(a1,f72(a1),x91964))) % 219.27/219.54 [9271]P1(f319(f319(f226(a925),x92711),f616(x92712,x92713,x92714,x92711)))+~P1(f319(f319(f226(a1),x92712),f319(x92713,x92714)))+P1(f319(f319(f226(a925),x92711),f617(x92712,x92713,x92714,x92711)))+~P1(f319(f319(f227(a925),x92711),x92714))+~P1(f319(f319(f226(a1),f319(x92713,x92711)),x92712)) % 219.27/219.54 [9388]E(f319(x93881,f616(x93882,x93881,x93883,x93884)),x93882)+~P1(f319(f319(f226(a1),x93882),f319(x93881,x93883)))+P1(f319(f319(f227(a925),f617(x93882,x93881,x93883,x93884)),x93883))+~P1(f319(f319(f227(a925),x93884),x93883))+~P1(f319(f319(f226(a1),f319(x93881,x93884)),x93882)) % 219.27/219.54 [9519]~P1(f319(f319(f226(a1),x95192),f319(x95193,x95194)))+P1(f319(f319(f226(a925),x95191),f617(x95192,x95193,x95194,x95191)))+P1(f319(f319(f226(a925),f616(x95192,x95193,x95194,x95191)),x95194))+~P1(f319(f319(f227(a925),x95191),x95194))+~P1(f319(f319(f226(a1),f319(x95193,x95191)),x95192)) % 219.27/219.54 [9520]~P1(f319(f319(f226(a1),x95202),f319(x95203,x95204)))+P1(f319(f319(f226(a925),x95201),f616(x95202,x95203,x95204,x95201)))+P1(f319(f319(f227(a925),f617(x95202,x95203,x95204,x95201)),x95204))+~P1(f319(f319(f227(a925),x95201),x95204))+~P1(f319(f319(f226(a1),f319(x95203,x95201)),x95202)) % 219.27/219.54 [9629]~P1(f319(f319(f226(a1),x96291),f319(x96292,x96293)))+P1(f319(f319(f227(a925),f617(x96291,x96292,x96293,x96294)),x96293))+~P1(f319(f319(f227(a925),x96294),x96293))+~P1(f319(f319(f226(a1),f319(x96292,x96294)),x96291))+P1(f319(f319(f226(a925),f616(x96291,x96292,x96293,x96294)),x96293)) % 219.27/219.54 [9717]E(x97171,f180(f932(x97172,a923)))+~P1(f319(f55(x97172),x97174))+~P1(f319(f55(x97172),x97171))+P1(f319(f319(f321(f931(f932(x97172,a923),f932(x97172,a923))),f319(f319(f244(f932(x97172,a923),f932(x97172,a923)),x97174),x97171)),f311(x97172,x97173)))+P1(f319(f319(f321(x97172),f571(x97173,x97171,x97174,x97172)),x97174)) % 219.27/219.54 [9718]E(x97181,f180(f932(x97182,a923)))+~P1(f319(f55(x97182),x97184))+~P1(f319(f55(x97182),x97181))+P1(f319(f319(f321(f931(f932(x97182,a923),f932(x97182,a923))),f319(f319(f244(f932(x97182,a923),f932(x97182,a923)),x97184),x97181)),f311(x97182,x97183)))+P1(f319(f319(f321(x97182),f618(x97183,x97181,x97184,x97182)),x97184)) % 219.27/219.54 [10415]E(f319(x104151,f616(x104152,x104151,x104153,x104154)),x104152)+~P1(f319(f319(f226(a1),x104152),f319(x104151,x104153)))+~P1(f319(f319(f226(a1),f319(f69(a1),f319(f319(f23(a1),f319(x104151,f319(f319(f74(a925),f617(x104152,x104151,x104153,x104154)),f72(a925)))),f319(x104151,f617(x104152,x104151,x104153,x104154))))),f72(a1)))+~P1(f319(f319(f227(a925),x104154),x104153))+~P1(f319(f319(f226(a1),f319(x104151,x104154)),x104152)) % 219.27/219.54 [10416]~P1(f319(f319(f226(a1),x104162),f319(x104163,x104164)))+P1(f319(f319(f226(a925),x104161),f616(x104162,x104163,x104164,x104161)))+~P1(f319(f319(f226(a1),f319(f69(a1),f319(f319(f23(a1),f319(x104163,f319(f319(f74(a925),f617(x104162,x104163,x104164,x104161)),f72(a925)))),f319(x104163,f617(x104162,x104163,x104164,x104161))))),f72(a1)))+~P1(f319(f319(f227(a925),x104161),x104164))+~P1(f319(f319(f226(a1),f319(x104163,x104161)),x104162)) % 219.27/219.54 [10417]~P1(f319(f319(f226(a1),x104171),f319(x104172,x104173)))+~P1(f319(f319(f226(a1),f319(f69(a1),f319(f319(f23(a1),f319(x104172,f319(f319(f74(a925),f617(x104171,x104172,x104173,x104174)),f72(a925)))),f319(x104172,f617(x104171,x104172,x104173,x104174))))),f72(a1)))+~P1(f319(f319(f227(a925),x104174),x104173))+~P1(f319(f319(f226(a1),f319(x104172,x104174)),x104171))+P1(f319(f319(f226(a925),f616(x104171,x104172,x104173,x104174)),x104173)) % 219.27/219.54 [7444]~P74(x74441)+P1(f319(f319(f227(x74441),x74442),f2(x74441)))+~P1(f319(f319(f226(x74441),x74443),f2(x74441)))+P1(f319(f319(f227(x74441),f2(x74441)),x74442))+P1(f319(f319(f226(x74441),x74443),f319(f319(f283(x74441),x74444),x74442))) % 219.27/219.54 [7445]~P74(x74451)+P1(f319(f319(f227(x74451),x74452),f2(x74451)))+~P1(f319(f319(f227(x74451),x74453),f2(x74451)))+P1(f319(f319(f227(x74451),f2(x74451)),x74452))+P1(f319(f319(f227(x74451),x74453),f319(f319(f283(x74451),x74454),x74452))) % 219.27/219.54 [7690]~P74(x76901)+P1(f319(f319(f226(x76901),x76902),f2(x76901)))+P1(f319(f319(f227(x76901),x76903),f2(x76901)))+P1(f319(f319(f227(x76901),f2(x76901)),x76903))+~P1(f319(f319(f226(x76901),x76902),f319(f319(f283(x76901),x76904),x76903))) % 219.27/219.54 [7691]~P74(x76911)+P1(f319(f319(f227(x76911),x76912),f2(x76911)))+P1(f319(f319(f227(x76911),x76913),f2(x76911)))+P1(f319(f319(f227(x76911),f2(x76911)),x76913))+~P1(f319(f319(f227(x76911),x76912),f319(f319(f283(x76911),x76914),x76913))) % 219.27/219.54 [7806]E(x78061,x78062)+~E(f319(f319(f156(x78063),x78064),x78061),f319(f319(f156(x78063),x78064),x78062))+~P1(f319(f129(x78063),x78064))+~P1(f319(f319(f227(a925),x78062),f319(f181(f926(x78063)),x78064)))+~P1(f319(f319(f227(a925),x78061),f319(f181(f926(x78063)),x78064))) % 219.27/219.54 [8172]~P74(x81721)+~P1(f319(f319(f226(x81721),x81723),f2(x81721)))+P1(f319(f319(f227(x81721),f2(x81721)),x81722))+~P1(f319(f319(f226(x81721),x81724),f319(f319(f75(x81721),x81723),x81722)))+P1(f319(f319(f226(x81721),x81723),f319(f319(f283(x81721),x81724),x81722))) % 219.27/219.54 [8173]~P74(x81731)+~P1(f319(f319(f227(x81731),x81733),f2(x81731)))+P1(f319(f319(f227(x81731),f2(x81731)),x81732))+~P1(f319(f319(f227(x81731),x81734),f319(f319(f75(x81731),x81733),x81732)))+P1(f319(f319(f227(x81731),x81733),f319(f319(f283(x81731),x81734),x81732))) % 219.27/219.54 [8174]~P74(x81741)+~P1(f319(f319(f227(x81741),x81742),f2(x81741)))+P1(f319(f319(f227(x81741),f2(x81741)),x81742))+~P1(f319(f319(f226(x81741),x81744),f319(f319(f75(x81741),x81743),x81742)))+P1(f319(f319(f226(x81741),x81743),f319(f319(f283(x81741),x81744),x81742))) % 219.27/219.54 [8175]~P74(x81751)+~P1(f319(f319(f227(x81751),x81752),f2(x81751)))+P1(f319(f319(f227(x81751),f2(x81751)),x81752))+~P1(f319(f319(f226(x81751),x81754),f319(f319(f283(x81751),x81753),x81752)))+P1(f319(f319(f226(x81751),x81753),f319(f319(f75(x81751),x81754),x81752))) % 219.27/219.54 [8176]~P74(x81761)+~P1(f319(f319(f227(x81761),x81762),f2(x81761)))+P1(f319(f319(f227(x81761),f2(x81761)),x81762))+~P1(f319(f319(f227(x81761),x81764),f319(f319(f75(x81761),x81763),x81762)))+P1(f319(f319(f227(x81761),x81763),f319(f319(f283(x81761),x81764),x81762))) % 219.27/219.54 [8177]~P74(x81771)+~P1(f319(f319(f227(x81771),x81772),f2(x81771)))+P1(f319(f319(f227(x81771),f2(x81771)),x81772))+~P1(f319(f319(f227(x81771),x81774),f319(f319(f283(x81771),x81773),x81772)))+P1(f319(f319(f227(x81771),x81773),f319(f319(f75(x81771),x81774),x81772))) % 219.27/219.54 [8319]~P4(x83191)+~P14(x83191,x83192)+~P1(f319(f319(f226(a925),x83193),x83194))+P1(f319(f319(f226(x83191),f319(f319(f156(x83191),x83192),x83193)),f319(f319(f156(x83191),x83192),x83194)))+~P1(f319(f319(f227(a925),x83194),f319(f181(f926(x83191)),x83192))) % 219.27/219.54 [8371]~P129(x83711)+~P1(f319(f319(f226(x83711),x83712),f72(x83711)))+~P1(f319(f319(f226(x83711),f2(x83711)),x83712))+~P1(f319(f319(f226(a925),x83714),x83713))+P1(f319(f319(f226(x83711),f319(f319(f236(x83711),x83712),x83713)),f319(f319(f236(x83711),x83712),x83714))) % 219.27/219.54 [8372]~P129(x83721)+~P1(f319(f319(f227(x83721),x83722),f72(x83721)))+~P1(f319(f319(f227(x83721),f2(x83721)),x83722))+~P1(f319(f319(f227(a925),x83724),x83723))+P1(f319(f319(f227(x83721),f319(f319(f236(x83721),x83722),x83723)),f319(f319(f236(x83721),x83722),x83724))) % 219.27/219.54 [8373]~P129(x83731)+~P1(f319(f319(f226(x83731),f2(x83731)),x83732))+~P1(f319(f319(f227(a925),f2(a925)),x83733))+~P1(f319(f319(f227(x83731),x83732),x83734))+P1(f319(f319(f227(x83731),f319(f319(f236(x83731),x83732),x83733)),f319(f319(f236(x83731),x83734),x83733))) % 219.27/219.54 [8392]~P4(x83921)+~P14(x83921,f319(f160(x83921),x83922))+~P1(f319(f319(f226(a925),x83924),x83923))+P1(f319(f319(f226(x83921),f319(f319(f156(x83921),x83922),x83923)),f319(f319(f156(x83921),x83922),x83924)))+~P1(f319(f319(f227(a925),x83923),f319(f181(f926(x83921)),x83922))) % 219.27/219.54 [8639]~P74(x86391)+~P1(f319(f319(f226(x86391),x86392),f2(x86391)))+~P1(f319(f319(f226(x86391),x86393),x86394))+~P1(f319(f319(f227(x86391),f2(x86391)),f319(f319(f75(x86391),x86393),x86394)))+P1(f319(f319(f226(x86391),f319(f319(f283(x86391),x86392),x86393)),f319(f319(f283(x86391),x86392),x86394))) % 219.27/219.54 [8640]~P75(x86401)+~P1(f319(f319(f227(x86401),x86402),f2(x86401)))+~P1(f319(f319(f227(x86401),x86403),x86404))+~P1(f319(f319(f227(x86401),f2(x86401)),f319(f319(f75(x86401),x86403),x86404)))+P1(f319(f319(f227(x86401),f319(f319(f283(x86401),x86402),x86403)),f319(f319(f283(x86401),x86402),x86404))) % 219.27/219.54 [8649]~P75(x86491)+~P1(f319(f319(f226(x86491),x86494),x86493))+~P1(f319(f319(f226(x86491),f2(x86491)),x86492))+~P1(f319(f319(f227(x86491),f2(x86491)),f319(f319(f75(x86491),x86493),x86494)))+P1(f319(f319(f226(x86491),f319(f319(f283(x86491),x86492),x86493)),f319(f319(f283(x86491),x86492),x86494))) % 219.27/219.54 [8650]~P75(x86501)+~P1(f319(f319(f227(x86501),x86504),x86503))+~P1(f319(f319(f227(x86501),f2(x86501)),x86502))+~P1(f319(f319(f227(x86501),f2(x86501)),f319(f319(f75(x86501),x86503),x86504)))+P1(f319(f319(f227(x86501),f319(f319(f283(x86501),x86502),x86503)),f319(f319(f283(x86501),x86502),x86504))) % 219.27/219.54 [8754]P1(f319(x87541,x87542))+~P1(f319(f55(x87544),x87542))+P1(f319(x87541,f339(x87541,x87543,x87542,x87544)))+~P1(f319(x87541,f180(f932(x87544,a923))))+~P1(f319(f319(f226(f932(x87544,a923)),x87542),x87543)) % 219.27/219.54 [8763]P1(f319(x87631,x87632))+P1(f319(f55(x87633),f339(x87631,x87634,x87632,x87633)))+~P1(f319(f55(x87633),x87632))+~P1(f319(x87631,f180(f932(x87633,a923))))+~P1(f319(f319(f226(f932(x87633,a923)),x87632),x87634)) % 219.27/219.54 [9033]E(f319(f319(f74(a1),f398(x90331,x90332,x90333,x90334)),f399(x90331,x90332,x90333,x90334)),x90334)+~P1(f319(f319(f227(a1),f2(a1)),x90333))+~P1(f319(f319(f227(a1),x90332),x90334))+~P1(f319(f319(f321(a1),x90332),x90331))+P1(f319(f319(f227(a1),x90332),f319(f319(f23(a1),x90334),x90333))) % 219.27/219.54 [9252]~P1(f319(f319(f227(a1),f2(a1)),x92523))+~P1(f319(f319(f227(a1),x92522),x92524))+~P1(f319(f319(f321(a1),x92522),x92521))+P1(f319(f319(f321(a1),f398(x92521,x92522,x92523,x92524)),x92521))+P1(f319(f319(f227(a1),x92522),f319(f319(f23(a1),x92524),x92523))) % 219.27/219.54 [9264]P1(f319(x92641,x92642))+~P1(f319(f55(x92643),x92642))+P1(f319(f319(f321(x92643),f340(x92641,x92644,x92642,x92643)),x92644))+~P1(f319(x92641,f180(f932(x92643,a923))))+~P1(f319(f319(f226(f932(x92643,a923)),x92642),x92644)) % 219.27/219.54 [9281]E(f319(f319(f74(a1),f385(x92811,x92812,x92813,x92814)),f386(x92811,x92812,x92813,x92814)),x92814)+~P1(f319(f319(f227(a1),f2(a1)),x92813))+~P1(f319(f319(f226(a1),x92812),x92814))+P1(f319(f319(f226(a1),x92812),f319(f319(f23(a1),x92814),x92813)))+~P1(f319(f319(f321(a1),f319(f319(f23(a1),x92812),f72(a1))),x92811)) % 219.27/219.54 [9336]~P1(f319(f319(f227(a1),f2(a1)),x93363))+~P1(f319(f319(f227(a1),x93361),x93362))+~P1(f319(f319(f321(a1),x93361),x93364))+P1(f319(f319(f321(a1),f399(x93364,x93361,x93363,x93362)),f295(a1,f72(a1),x93363)))+P1(f319(f319(f227(a1),x93361),f319(f319(f23(a1),x93362),x93363))) % 219.27/219.54 [9362]~P79(x93622)+~E(f803(x93623,x93624,x93621,x93622),f804(x93623,x93624,x93621,x93622))+~P1(f319(f55(x93621),f805(x93623,x93624,x93621,x93622)))+E(f319(f319(f6(f932(x93621,a923),x93622),f319(f6(x93621,x93622),x93623)),x93624),f319(f319(f6(x93621,x93622),x93623),f31(f932(x93621,a923),x93624)))+~P1(f319(f55(f932(x93621,a923)),x93624)) % 219.27/219.54 [9366]~P79(x93662)+~E(f319(x93663,f807(x93663,x93664,x93661,x93662)),f2(x93662))+~P1(f319(f55(x93661),f805(x93663,x93664,x93661,x93662)))+E(f319(f319(f6(f932(x93661,a923),x93662),f319(f6(x93661,x93662),x93663)),x93664),f319(f319(f6(x93661,x93662),x93663),f31(f932(x93661,a923),x93664)))+~P1(f319(f55(f932(x93661,a923)),x93664)) % 219.27/219.54 [9432]~P1(f319(f319(f227(a1),f2(a1)),x94323))+~P1(f319(f319(f226(a1),x94322),x94324))+P1(f319(f319(f321(a1),f385(x94321,x94322,x94323,x94324)),x94321))+P1(f319(f319(f226(a1),x94322),f319(f319(f23(a1),x94324),x94323)))+~P1(f319(f319(f321(a1),f319(f319(f23(a1),x94322),f72(a1))),x94321)) % 219.27/219.54 [9476]~P1(f319(f319(f227(a1),f2(a1)),x94763))+~P1(f319(f319(f226(a1),x94761),x94762))+P1(f319(f319(f321(a1),f386(x94764,x94761,x94763,x94762)),f295(a1,f72(a1),x94763)))+P1(f319(f319(f226(a1),x94761),f319(f319(f23(a1),x94762),x94763)))+~P1(f319(f319(f321(a1),f319(f319(f23(a1),x94761),f72(a1))),x94764)) % 219.27/219.54 [9498]~P79(x94982)+~E(f803(x94983,x94984,x94981,x94982),f804(x94983,x94984,x94981,x94982))+E(f319(f319(f6(f932(x94981,a923),x94982),f319(f6(x94981,x94982),x94983)),x94984),f319(f319(f6(x94981,x94982),x94983),f31(f932(x94981,a923),x94984)))+P1(f319(f319(f321(f932(x94981,a923)),f805(x94983,x94984,x94981,x94982)),x94984))+~P1(f319(f55(f932(x94981,a923)),x94984)) % 219.27/219.54 [9503]~P79(x95032)+~E(f319(x95033,f807(x95033,x95034,x95031,x95032)),f2(x95032))+E(f319(f319(f6(f932(x95031,a923),x95032),f319(f6(x95031,x95032),x95033)),x95034),f319(f319(f6(x95031,x95032),x95033),f31(f932(x95031,a923),x95034)))+P1(f319(f319(f321(f932(x95031,a923)),f805(x95033,x95034,x95031,x95032)),x95034))+~P1(f319(f55(f932(x95031,a923)),x95034)) % 219.27/219.54 [9606]~P79(x96062)+~P1(f319(f55(x96061),f805(x96063,x96064,x96061,x96062)))+E(f319(f319(f6(f932(x96061,a923),x96062),f319(f6(x96061,x96062),x96063)),x96064),f319(f319(f6(x96061,x96062),x96063),f31(f932(x96061,a923),x96064)))+P1(f319(f319(f321(f932(x96061,a923)),f804(x96063,x96064,x96061,x96062)),x96064))+~P1(f319(f55(f932(x96061,a923)),x96064)) % 219.27/219.54 [9607]~P79(x96072)+~P1(f319(f55(x96071),f805(x96073,x96074,x96071,x96072)))+E(f319(f319(f6(f932(x96071,a923),x96072),f319(f6(x96071,x96072),x96073)),x96074),f319(f319(f6(x96071,x96072),x96073),f31(f932(x96071,a923),x96074)))+P1(f319(f319(f321(f932(x96071,a923)),f803(x96073,x96074,x96071,x96072)),x96074))+~P1(f319(f55(f932(x96071,a923)),x96074)) % 219.27/219.54 [9687]~P79(x96872)+E(f319(f319(f6(f932(x96871,a923),x96872),f319(f6(x96871,x96872),x96873)),x96874),f319(f319(f6(x96871,x96872),x96873),f31(f932(x96871,a923),x96874)))+P1(f319(f319(f321(f932(x96871,a923)),f805(x96873,x96874,x96871,x96872)),x96874))+P1(f319(f319(f321(f932(x96871,a923)),f804(x96873,x96874,x96871,x96872)),x96874))+~P1(f319(f55(f932(x96871,a923)),x96874)) % 219.27/219.54 [9688]~P79(x96882)+E(f319(f319(f6(f932(x96881,a923),x96882),f319(f6(x96881,x96882),x96883)),x96884),f319(f319(f6(x96881,x96882),x96883),f31(f932(x96881,a923),x96884)))+P1(f319(f319(f321(f932(x96881,a923)),f805(x96883,x96884,x96881,x96882)),x96884))+P1(f319(f319(f321(f932(x96881,a923)),f803(x96883,x96884,x96881,x96882)),x96884))+~P1(f319(f55(f932(x96881,a923)),x96884)) % 219.27/219.54 [9706]~P79(x97062)+P1(f319(f319(f321(x97061),f807(x97063,x97064,x97061,x97062)),f804(x97063,x97064,x97061,x97062)))+~P1(f319(f55(x97061),f805(x97063,x97064,x97061,x97062)))+E(f319(f319(f6(f932(x97061,a923),x97062),f319(f6(x97061,x97062),x97063)),x97064),f319(f319(f6(x97061,x97062),x97063),f31(f932(x97061,a923),x97064)))+~P1(f319(f55(f932(x97061,a923)),x97064)) % 219.27/219.54 [9707]~P79(x97072)+P1(f319(f319(f321(x97071),f807(x97073,x97074,x97071,x97072)),f803(x97073,x97074,x97071,x97072)))+~P1(f319(f55(x97071),f805(x97073,x97074,x97071,x97072)))+E(f319(f319(f6(f932(x97071,a923),x97072),f319(f6(x97071,x97072),x97073)),x97074),f319(f319(f6(x97071,x97072),x97073),f31(f932(x97071,a923),x97074)))+~P1(f319(f55(f932(x97071,a923)),x97074)) % 219.27/219.54 [9720]P1(f319(x97201,x97202))+~P1(f319(f319(f321(x97203),f340(x97201,x97204,x97202,x97203)),f339(x97201,x97204,x97202,x97203)))+~P1(f319(f55(x97203),x97202))+~P1(f319(x97201,f180(f932(x97203,a923))))+~P1(f319(f319(f226(f932(x97203,a923)),x97202),x97204)) % 219.27/219.54 [9757]~P79(x97572)+P1(f319(f319(f321(x97571),f807(x97573,x97574,x97571,x97572)),f804(x97573,x97574,x97571,x97572)))+E(f319(f319(f6(f932(x97571,a923),x97572),f319(f6(x97571,x97572),x97573)),x97574),f319(f319(f6(x97571,x97572),x97573),f31(f932(x97571,a923),x97574)))+P1(f319(f319(f321(f932(x97571,a923)),f805(x97573,x97574,x97571,x97572)),x97574))+~P1(f319(f55(f932(x97571,a923)),x97574)) % 219.27/219.54 [9758]~P79(x97582)+P1(f319(f319(f321(x97581),f807(x97583,x97584,x97581,x97582)),f803(x97583,x97584,x97581,x97582)))+E(f319(f319(f6(f932(x97581,a923),x97582),f319(f6(x97581,x97582),x97583)),x97584),f319(f319(f6(x97581,x97582),x97583),f31(f932(x97581,a923),x97584)))+P1(f319(f319(f321(f932(x97581,a923)),f805(x97583,x97584,x97581,x97582)),x97584))+~P1(f319(f55(f932(x97581,a923)),x97584)) % 219.27/219.54 [9940]P1(f319(x99401,x99402))+~P1(f319(f55(x99403),x99402))+~P1(f319(x99401,f319(f319(f301(x99403),f340(x99401,x99404,x99402,x99403)),f339(x99401,x99404,x99402,x99403))))+~P1(f319(x99401,f180(f932(x99403,a923))))+~P1(f319(f319(f226(f932(x99403,a923)),x99402),x99404)) % 219.27/219.54 [7941]~P74(x79411)+P1(f319(f319(f227(x79411),x79412),f2(x79411)))+~P1(f319(f319(f226(x79411),f2(x79411)),x79414))+P1(f319(f319(f227(x79411),f2(x79411)),x79412))+P1(f319(f319(f226(x79411),f319(f319(f283(x79411),x79413),x79412)),x79414)) % 219.27/219.54 [7942]~P74(x79421)+P1(f319(f319(f227(x79421),x79422),f2(x79421)))+P1(f319(f319(f227(x79421),f2(x79421)),x79422))+~P1(f319(f319(f227(x79421),f2(x79421)),x79424))+P1(f319(f319(f227(x79421),f319(f319(f283(x79421),x79423),x79422)),x79424)) % 219.27/219.54 [8159]~P6(x81591)+~P41(x81591,x81591,x81594)+~E(x81593,f88(x81591,x81594))+P1(f319(f319(f226(x81591),x81592),x81593))+~P1(f319(f319(f226(x81591),x81592),f319(x81594,f319(f319(f102(x81591),x81592),x81593)))) % 219.27/219.54 [8225]~P1(f319(f319(f226(a1),x82254),f2(a1)))+~E(x82252,f319(f319(f74(a1),f319(f319(f75(a1),x82251),x82253)),x82254))+P1(f319(f319(f227(a1),f2(a1)),x82251))+~P1(f319(f319(f227(a1),x82251),x82254))+P1(f319(f43(x82252,x82251),f319(f319(f244(a1,a1),x82253),x82254))) % 219.27/219.54 [8259]~P1(f319(x82591,x82594))+P1(f319(x82591,f435(x82592,x82591,x82593)))+~P1(f319(f319(f226(a1),f2(a1)),x82592))+~P1(f319(f319(f227(a1),f2(a1)),x82593))+P1(f319(x82591,f319(f319(f23(a1),x82594),f319(f319(f75(a1),x82592),x82593)))) % 219.27/219.54 [8260]~P1(f319(x82601,x82604))+P1(f319(x82601,f441(x82602,x82601,x82603)))+~P1(f319(f319(f226(a1),f2(a1)),x82602))+~P1(f319(f319(f227(a1),f2(a1)),x82603))+P1(f319(x82601,f319(f319(f74(a1),x82604),f319(f319(f75(a1),x82602),x82603)))) % 219.27/219.54 [8261]~P74(x82611)+P1(f319(f319(f227(x82611),x82612),f2(x82611)))+P1(f319(f319(f227(x82611),f2(x82611)),x82612))+P1(f319(f319(f226(x82611),f2(x82611)),x82613))+~P1(f319(f319(f226(x82611),f319(f319(f283(x82611),x82614),x82612)),x82613)) % 219.27/219.54 [8262]~P74(x82621)+P1(f319(f319(f227(x82621),x82622),f2(x82621)))+P1(f319(f319(f227(x82621),f2(x82621)),x82622))+P1(f319(f319(f227(x82621),f2(x82621)),x82623))+~P1(f319(f319(f227(x82621),f319(f319(f283(x82621),x82624),x82622)),x82623)) % 219.27/219.54 [8314]~E(x83141,f319(f319(f74(a1),f319(f319(f75(a1),x83142),x83143)),x83144))+~P1(f319(f319(f226(a1),f2(a1)),x83144))+~P1(f319(f319(f227(a1),f2(a1)),x83142))+~P1(f319(f319(f227(a1),x83144),x83142))+P1(f319(f43(x83141,x83142),f319(f319(f244(a1,a1),x83143),x83144))) % 219.27/219.54 [8431]~P74(x84311)+P1(f319(f319(f227(x84311),x84312),f2(x84311)))+~P1(f319(f319(f226(x84311),f2(x84311)),x84314))+~P1(f319(f319(f226(x84311),x84313),f319(f319(f75(x84311),x84314),x84312)))+P1(f319(f319(f226(x84311),f319(f319(f283(x84311),x84313),x84312)),x84314)) % 219.27/219.54 [8432]~P74(x84321)+P1(f319(f319(f227(x84321),x84322),f2(x84321)))+~P1(f319(f319(f227(x84321),f2(x84321)),x84324))+~P1(f319(f319(f227(x84321),x84323),f319(f319(f75(x84321),x84324),x84322)))+P1(f319(f319(f227(x84321),f319(f319(f283(x84321),x84323),x84322)),x84324)) % 219.27/219.54 [8518]~P74(x85181)+P1(f319(f319(f227(x85181),x85182),f2(x85181)))+~P1(f319(f319(f226(x85181),x85183),f2(x85181)))+P1(f319(f319(f226(x85181),x85183),f319(f319(f283(x85181),x85184),x85182)))+~P1(f319(f319(f226(x85181),f319(f319(f75(x85181),x85183),x85182)),x85184)) % 219.27/219.54 [8519]~P74(x85191)+P1(f319(f319(f227(x85191),x85192),f2(x85191)))+~P1(f319(f319(f227(x85191),x85193),f2(x85191)))+P1(f319(f319(f227(x85191),x85193),f319(f319(f283(x85191),x85194),x85192)))+~P1(f319(f319(f227(x85191),f319(f319(f75(x85191),x85193),x85192)),x85194)) % 219.27/219.54 [8673]~P74(x86731)+~P1(f319(f319(f227(x86731),x86732),f2(x86731)))+P1(f319(f319(f227(x86731),f2(x86731)),x86732))+~P1(f319(f319(f226(x86731),f319(f319(f283(x86731),x86734),x86732)),x86733))+P1(f319(f319(f226(x86731),f319(f319(f75(x86731),x86733),x86732)),x86734)) % 219.27/219.54 [8674]~P74(x86741)+~P1(f319(f319(f227(x86741),x86742),f2(x86741)))+P1(f319(f319(f227(x86741),f2(x86741)),x86742))+~P1(f319(f319(f226(x86741),f319(f319(f75(x86741),x86744),x86742)),x86743))+P1(f319(f319(f226(x86741),f319(f319(f283(x86741),x86743),x86742)),x86744)) % 219.27/219.54 [8675]~P74(x86751)+~P1(f319(f319(f227(x86751),x86752),f2(x86751)))+P1(f319(f319(f227(x86751),f2(x86751)),x86752))+~P1(f319(f319(f227(x86751),f319(f319(f283(x86751),x86754),x86752)),x86753))+P1(f319(f319(f227(x86751),f319(f319(f75(x86751),x86753),x86752)),x86754)) % 219.27/219.54 [8676]~P74(x86761)+~P1(f319(f319(f227(x86761),x86762),f2(x86761)))+P1(f319(f319(f227(x86761),f2(x86761)),x86762))+~P1(f319(f319(f227(x86761),f319(f319(f75(x86761),x86764),x86762)),x86763))+P1(f319(f319(f227(x86761),f319(f319(f283(x86761),x86763),x86762)),x86764)) % 219.27/219.54 [8692]~P74(x86921)+~P1(f319(f319(f226(x86921),f2(x86921)),x86924))+P1(f319(f319(f227(x86921),f2(x86921)),x86922))+~P1(f319(f319(f226(x86921),f319(f319(f75(x86921),x86924),x86922)),x86923))+P1(f319(f319(f226(x86921),f319(f319(f283(x86921),x86923),x86922)),x86924)) % 219.27/219.54 [8693]~P74(x86931)+~P1(f319(f319(f227(x86931),f2(x86931)),x86934))+P1(f319(f319(f227(x86931),f2(x86931)),x86932))+~P1(f319(f319(f227(x86931),f319(f319(f75(x86931),x86934),x86932)),x86933))+P1(f319(f319(f227(x86931),f319(f319(f283(x86931),x86933),x86932)),x86934)) % 219.27/219.54 [8771]~P74(x87711)+~P1(f319(f319(f227(x87711),x87714),f2(x87711)))+~P1(f319(f319(f226(x87711),x87713),f319(f319(f75(x87711),x87712),x87714)))+P1(f319(f319(f226(x87711),x87712),f319(f319(f283(x87711),x87713),x87714)))+~P1(f319(f319(f226(x87711),f319(f319(f75(x87711),x87712),x87714)),x87713)) % 219.27/219.54 [8772]~P74(x87721)+~P1(f319(f319(f226(x87721),x87722),f2(x87721)))+~P1(f319(f319(f226(x87721),x87723),f319(f319(f75(x87721),x87722),x87724)))+P1(f319(f319(f226(x87721),x87722),f319(f319(f283(x87721),x87723),x87724)))+~P1(f319(f319(f226(x87721),f319(f319(f75(x87721),x87722),x87724)),x87723)) % 219.27/219.54 [8773]~P74(x87731)+~P1(f319(f319(f227(x87731),x87734),f2(x87731)))+~P1(f319(f319(f227(x87731),x87733),f319(f319(f75(x87731),x87732),x87734)))+P1(f319(f319(f227(x87731),x87732),f319(f319(f283(x87731),x87733),x87734)))+~P1(f319(f319(f227(x87731),f319(f319(f75(x87731),x87732),x87734)),x87733)) % 219.27/219.54 [8774]~P74(x87741)+~P1(f319(f319(f227(x87741),x87742),f2(x87741)))+~P1(f319(f319(f227(x87741),x87743),f319(f319(f75(x87741),x87742),x87744)))+P1(f319(f319(f227(x87741),x87742),f319(f319(f283(x87741),x87743),x87744)))+~P1(f319(f319(f227(x87741),f319(f319(f75(x87741),x87742),x87744)),x87743)) % 219.27/219.54 [8897]~P74(x88971)+~P1(f319(f319(f227(x88971),x88973),f2(x88971)))+~P1(f319(f319(f226(x88971),x88972),f319(f319(f75(x88971),x88974),x88973)))+~P1(f319(f319(f226(x88971),f319(f319(f75(x88971),x88974),x88973)),x88972))+P1(f319(f319(f226(x88971),f319(f319(f283(x88971),x88972),x88973)),x88974)) % 219.27/219.54 [8898]~P74(x88981)+~P1(f319(f319(f227(x88981),x88983),f2(x88981)))+~P1(f319(f319(f227(x88981),x88982),f319(f319(f75(x88981),x88984),x88983)))+~P1(f319(f319(f227(x88981),f319(f319(f75(x88981),x88984),x88983)),x88982))+P1(f319(f319(f227(x88981),f319(f319(f283(x88981),x88982),x88983)),x88984)) % 219.27/219.54 [8915]~P74(x89151)+~P1(f319(f319(f226(x89151),f2(x89151)),x89154))+~P1(f319(f319(f226(x89151),x89152),f319(f319(f75(x89151),x89154),x89153)))+~P1(f319(f319(f226(x89151),f319(f319(f75(x89151),x89154),x89153)),x89152))+P1(f319(f319(f226(x89151),f319(f319(f283(x89151),x89152),x89153)),x89154)) % 219.27/219.54 [8916]~P74(x89161)+~P1(f319(f319(f227(x89161),f2(x89161)),x89164))+~P1(f319(f319(f227(x89161),x89162),f319(f319(f75(x89161),x89164),x89163)))+~P1(f319(f319(f227(x89161),f319(f319(f75(x89161),x89164),x89163)),x89162))+P1(f319(f319(f227(x89161),f319(f319(f283(x89161),x89162),x89163)),x89164)) % 219.27/219.54 [9101]E(f319(f319(f23(a1),f400(x91011,x91012,x91013,x91014)),f401(x91011,x91012,x91013,x91014)),x91014)+~P1(f319(f319(f227(a1),f2(a1)),x91013))+~P1(f319(f319(f321(a1),x91012),x91011))+~P1(f319(f319(f227(a1),x91014),x91012))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x91014),x91013)),x91012)) % 219.27/219.54 [9176]~P1(f319(x91761,x91762))+~P1(f319(f319(f226(a1),f2(a1)),x91763))+~P1(f319(f319(f227(a1),f2(a1)),x91764))+~P1(f319(x91761,f319(f319(f23(a1),f435(x91763,x91761,x91764)),x91764)))+P1(f319(x91761,f319(f319(f23(a1),x91762),f319(f319(f75(a1),x91763),x91764)))) % 219.27/219.54 [9177]~P1(f319(x91771,x91772))+~P1(f319(f319(f226(a1),f2(a1)),x91773))+~P1(f319(f319(f227(a1),f2(a1)),x91774))+~P1(f319(x91771,f319(f319(f74(a1),f441(x91773,x91771,x91774)),x91774)))+P1(f319(x91771,f319(f319(f74(a1),x91772),f319(f319(f75(a1),x91773),x91774)))) % 219.27/219.54 [9329]~P1(f319(f319(f227(a1),f2(a1)),x93293))+~P1(f319(f319(f321(a1),x93292),x93291))+~P1(f319(f319(f227(a1),x93294),x93292))+P1(f319(f319(f321(a1),f400(x93291,x93292,x93293,x93294)),x93291))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x93294),x93293)),x93292)) % 219.27/219.54 [9349]E(f319(f319(f23(a1),f387(x93491,x93492,x93493,x93494)),f388(x93491,x93492,x93493,x93494)),x93494)+~P1(f319(f319(f227(a1),f2(a1)),x93493))+~P1(f319(f319(f226(a1),x93494),x93492))+~P1(f319(f319(f321(a1),f319(f319(f74(a1),x93492),f72(a1))),x93491))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x93494),x93493)),x93492)) % 219.27/219.54 [9377]~P1(f319(f319(f227(a1),f2(a1)),x93772))+~P1(f319(f319(f321(a1),x93773),x93774))+~P1(f319(f319(f227(a1),x93771),x93773))+P1(f319(f319(f321(a1),f401(x93774,x93773,x93772,x93771)),f295(a1,f72(a1),x93772)))+P1(f319(f319(f227(a1),f319(f319(f74(a1),x93771),x93772)),x93773)) % 219.27/219.54 [9468]~P1(f319(f319(f227(a1),f2(a1)),x94683))+~P1(f319(f319(f226(a1),x94684),x94682))+P1(f319(f319(f321(a1),f387(x94681,x94682,x94683,x94684)),x94681))+~P1(f319(f319(f321(a1),f319(f319(f74(a1),x94682),f72(a1))),x94681))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x94684),x94683)),x94682)) % 219.27/219.54 [9515]~P1(f319(f319(f227(a1),f2(a1)),x95152))+~P1(f319(f319(f226(a1),x95151),x95153))+P1(f319(f319(f321(a1),f388(x95154,x95153,x95152,x95151)),f295(a1,f72(a1),x95152)))+~P1(f319(f319(f321(a1),f319(f319(f74(a1),x95153),f72(a1))),x95154))+P1(f319(f319(f226(a1),f319(f319(f74(a1),x95151),x95152)),x95153)) % 219.27/219.54 [9813]~P38(x98131,x98133)+~P28(x98131,x98134)+P38(x98131,f319(f319(f102(f932(f931(x98131,x98131),a923)),x98132),x98133))+~P1(f319(f319(f226(f932(f931(x98131,x98131),a923)),x98132),f319(f243(f932(f931(x98131,x98131),a923),f932(f931(x98131,x98131),a923)),x98134)))+~P1(f319(f319(f226(f932(f931(x98131,x98131),a923)),x98133),f319(f248(f932(f931(x98131,x98131),a923),f932(f931(x98131,x98131),a923)),x98134))) % 219.27/219.54 [10225]~P19(x102252,x102254,x102253)+E(x102251,f180(f932(x102252,a923)))+~P1(f319(f55(x102252),x102251))+P1(f319(f319(f321(x102252),f319(x102253,x102251)),x102251))+~P1(f319(f319(f321(x102252),f319(f319(x102254,f916(x102251,x102253,x102254,x102252)),f917(x102251,x102253,x102254,x102252))),f319(f319(f301(x102252),f916(x102251,x102253,x102254,x102252)),f319(f319(f301(x102252),f917(x102251,x102253,x102254,x102252)),f180(f932(x102252,a923)))))) % 219.27/219.54 [8799]~P6(x87991)+~P41(x87991,x87991,x87994)+~E(x87992,f87(x87991,x87994))+P1(f319(f319(f226(x87991),x87992),x87993))+~P1(f319(f319(f226(x87991),f319(x87994,f319(f319(f93(x87991),x87992),x87993))),x87993)) % 219.27/219.54 [10147]~P113(x101472)+~P5(x101471)+~P1(f319(f319(f226(f932(x101471,x101472)),x101473),x101474))+P1(f319(f319(f227(f932(x101471,x101472)),x101473),x101474))+~P1(f319(f50(x101471),f319(f319(f8(a923,a923,x101471),a314),f319(f319(f18(x101471,x101472,a923),f319(f319(f8(x101472,f932(x101472,a923),x101471),a316),x101473)),x101474)))) % 219.27/219.54 [5346]~P51(x53464,x53465,x53463)+E(x53461,x53462)+~P4(x53464)+~P113(x53465)+~E(f319(x53463,x53461),f319(x53463,x53462)) % 219.27/219.54 [9726]~P59(x97261,x97261,x97264)+P1(f319(f319(f321(f931(x97261,x97261)),f319(f319(f244(x97261,x97261),x97262),x97263)),f299(x97261,x97264)))+P1(f319(f319(f321(f931(x97261,x97261)),f319(f319(f244(x97261,x97261),x97263),x97262)),f299(x97261,x97264)))+~P1(f319(f319(f321(f931(x97261,x97261)),f319(f319(f244(x97261,x97261),x97265),x97262)),f299(x97261,x97264)))+~P1(f319(f319(f321(f931(x97261,x97261)),f319(f319(f244(x97261,x97261),x97265),x97263)),f299(x97261,x97264))) % 219.27/219.54 [5830]E(x58301,f2(a925))+~E(f319(f29(x58302),x58305),x58301)+E(f319(f29(x58302),x58303),f319(a104,x58301))+~E(x58303,f319(f319(f301(x58302),x58304),x58305))+P1(f319(f319(f321(x58302),x58304),x58305)) % 219.27/219.54 [5953]~P73(x59532)+E(x59531,f2(x59532))+E(x59533,f2(x59532))+~E(f319(f319(f283(x59532),x59534),x59533),f319(f319(f283(x59532),x59535),x59531))+E(f319(f319(f75(x59532),x59534),x59531),f319(f319(f75(x59532),x59535),x59533)) % 219.27/219.54 [5954]~P73(x59542)+E(x59541,f2(x59542))+E(x59543,f2(x59542))+~E(f319(f319(f75(x59542),x59544),x59543),f319(f319(f75(x59542),x59545),x59541))+E(f319(f319(f283(x59542),x59544),x59541),f319(f319(f283(x59542),x59545),x59543)) % 219.27/219.54 [6023]~E(f319(f29(x60231),x60235),x60233)+~E(x60235,f180(f932(x60231,a923)))+E(f319(f29(x60231),x60232),f319(a104,x60233))+~E(x60232,f319(f319(f301(x60231),x60234),x60235))+P1(f319(f319(f321(x60231),x60234),x60235)) % 219.27/219.54 [6266]~P121(x62662)+~E(f319(x62663,x62665),f2(x62662))+E(f319(f319(f9(x62661,x62662),x62663),x62664),f2(x62662))+~P1(f319(f55(x62661),x62664))+~P1(f319(f319(f321(x62661),x62665),x62664)) % 219.27/219.54 [6636]~P4(x66363)+E(x66361,x66362)+~E(f319(f294(x66363,x66364),x66361),f319(f294(x66363,x66365),x66362))+~P1(f319(f319(f227(x66363),x66365),x66362))+~P1(f319(f319(f227(x66363),x66364),x66361)) % 219.27/219.54 [6637]~P4(x66373)+E(x66371,x66372)+~E(f319(f294(x66373,x66371),x66374),f319(f294(x66373,x66372),x66375))+~P1(f319(f319(f227(x66373),x66372),x66375))+~P1(f319(f319(f227(x66373),x66371),x66374)) % 219.27/219.54 [6803]~P113(x68031)+~P51(x68035,x68031,x68032)+~P4(x68035)+P1(f319(f319(f226(x68031),f319(x68032,x68033)),f319(x68032,x68034)))+~P1(f319(f319(f226(x68035),x68033),x68034)) % 219.27/219.54 [6804]~P113(x68041)+~P41(x68045,x68041,x68042)+~P113(x68045)+P1(f319(f319(f226(x68041),f319(x68042,x68043)),f319(x68042,x68044)))+~P1(f319(f319(f226(x68045),x68043),x68044)) % 219.27/219.54 [6805]~P113(x68051)+~P51(x68055,x68051,x68052)+~P4(x68055)+P1(f319(f319(f227(x68051),f319(x68052,x68053)),f319(x68052,x68054)))+~P1(f319(f319(f227(x68055),x68053),x68054)) % 219.27/219.54 [6806]~P113(x68061)+~P51(x68065,x68061,x68062)+~P113(x68065)+P1(f319(f319(f227(x68061),f319(x68062,x68063)),f319(x68062,x68064)))+~P1(f319(f319(f227(x68065),x68063),x68064)) % 219.27/219.54 [7057]~P4(x70571)+~P51(x70571,x70574,x70575)+~P113(x70574)+~P1(f319(f319(f226(x70574),f319(x70575,x70572)),f319(x70575,x70573)))+P1(f319(f319(f226(x70571),x70572),x70573)) % 219.27/219.54 [7058]~P4(x70581)+~P51(x70581,x70584,x70585)+~P113(x70584)+~P1(f319(f319(f227(x70584),f319(x70585,x70582)),f319(x70585,x70583)))+P1(f319(f319(f227(x70581),x70582),x70583)) % 219.27/219.54 [7707]~P4(x77071)+~P14(x77071,f319(f319(f126(x77071),x77074),x77075))+~P1(f319(f319(f321(x77071),x77073),f319(f164(x77071),x77075)))+~P1(f319(f319(f321(x77071),x77072),f319(f164(x77071),x77074)))+P1(f319(f319(f226(x77071),x77072),x77073)) % 219.27/219.54 [8809]~P113(x88091)+~P1(f319(f319(f227(f932(x88091,a923)),f295(x88091,x88095,x88092)),f295(x88091,x88094,x88093)))+~P1(f319(f319(f226(x88091),x88095),x88092))+P1(f319(f319(f227(x88091),x88092),x88093))+P1(f319(f319(f227(x88091),x88094),x88095)) % 219.27/219.54 [9849]~P41(f932(x98494,a923),f932(x98494,a923),x98495)+P1(f319(x98491,x98492))+~E(x98493,f87(f932(x98494,a923),x98495))+~P1(f319(x98491,f461(x98491,x98492,x98495,x98494,x98493)))+~P1(f319(f319(f321(x98494),x98492),x98493)) % 219.27/219.54 [10268]~P18(x102682,x102685,x102683)+E(x102681,f180(f932(x102682,a923)))+~E(f319(f319(x102685,f319(x102684,f342(x102681,x102684,x102683,x102685,x102682))),f319(x102684,f343(x102681,x102684,x102683,x102685,x102682))),f319(x102684,f319(f319(x102685,f342(x102681,x102684,x102683,x102685,x102682)),f343(x102681,x102684,x102683,x102685,x102682))))+E(f319(x102683,f319(f302(x102682,x102682,x102684),x102681)),f319(x102684,f319(x102683,x102681)))+~P1(f319(f55(x102682),x102681)) % 219.27/219.54 [6633]~P19(x66332,x66335,x66333)+E(x66331,f180(f932(x66332,a923)))+~P1(f319(f55(x66332),x66331))+E(f319(x66333,f319(f319(f301(x66332),x66334),x66331)),f319(f319(x66335,x66334),f319(x66333,x66331)))+P1(f319(f319(f321(x66332),x66334),x66331)) % 219.27/219.54 [7472]~P18(x74722,x74723,x74724)+E(f319(f319(x74723,f319(x74724,x74721)),f319(x74724,x74725)),f319(x74724,x74725))+E(x74721,f180(f932(x74722,a923)))+~P1(f319(f55(x74722),x74725))+~P1(f319(f319(f226(f932(x74722,a923)),x74721),x74725)) % 219.27/219.54 [7841]~P19(x78414,x78415,x78411)+E(f319(x78411,x78412),x78413)+~P1(f319(f55(x78414),x78412))+~E(f319(f319(f23(f932(x78414,a923)),x78412),f319(f319(f301(x78414),x78413),f180(f932(x78414,a923)))),f180(f932(x78414,a923)))+~P1(f319(f319(f321(x78414),x78413),x78412)) % 219.27/219.54 [8778]E(x87781,x87782)+~P9(x87783,x87784,x87785)+E(f319(f319(f93(f932(x87783,a923)),x87781),x87782),f180(f932(x87783,a923)))+~P1(f319(f319(f321(f932(x87783,a923)),x87782),f319(f319(f54(x87783),x87784),x87785)))+~P1(f319(f319(f321(f932(x87783,a923)),x87781),f319(f319(f54(x87783),x87784),x87785))) % 219.27/219.54 [9599]~P79(x95992)+~E(f319(x95993,f445(x95993,x95994,x95995,x95991,x95992)),f2(x95992))+E(f319(f319(f6(x95991,x95992),x95993),x95994),f319(f319(f6(x95991,x95992),x95993),x95995))+~P1(f319(f55(x95991),x95995))+~P1(f319(f319(f226(f932(x95991,a923)),x95994),x95995)) % 219.27/219.54 [9600]~P79(x96002)+~E(f319(x96003,f446(x96003,x96004,x96005,x96001,x96002)),f2(x96002))+E(f319(f319(f6(x96001,x96002),x96003),x96004),f319(f319(f6(x96001,x96002),x96003),x96005))+~P1(f319(f55(x96001),x96005))+~P1(f319(f319(f226(f932(x96001,a923)),x96004),x96005)) % 219.27/219.54 [9601]~P78(x96012)+~E(f319(x96013,f505(x96013,x96014,x96015,x96011,x96012)),f72(x96012))+E(f319(f319(f9(x96011,x96012),x96013),x96014),f319(f319(f9(x96011,x96012),x96013),x96015))+~P1(f319(f55(x96011),x96015))+~P1(f319(f319(f226(f932(x96011,a923)),x96014),x96015)) % 219.27/219.54 [9602]~P78(x96022)+~E(f319(x96023,f506(x96023,x96024,x96025,x96021,x96022)),f72(x96022))+E(f319(f319(f9(x96021,x96022),x96023),x96024),f319(f319(f9(x96021,x96022),x96023),x96025))+~P1(f319(f55(x96021),x96025))+~P1(f319(f319(f226(f932(x96021,a923)),x96024),x96025)) % 219.27/219.54 [10041]~P41(f932(x100411,a923),f932(x100411,a923),f319(f319(f8(f932(x100411,a923),f932(x100411,a923),f932(x100411,a923)),f254(x100411)),x100414))+~P1(f319(f319(x100414,f319(f319(f102(f932(x100411,a923)),x100415),x100413)),f462(x100415,x100412,x100414,x100411,x100413)))+~E(x100413,f88(f932(x100411,a923),f319(f319(f8(f932(x100411,a923),f932(x100411,a923),f932(x100411,a923)),f254(x100411)),x100414)))+P1(f319(f319(f321(x100411),x100412),x100413))+~P1(f319(f319(f321(x100411),x100412),x100415)) % 219.27/219.54 [10045]~P41(f932(x100451,a923),f932(x100451,a923),f319(f319(f8(f932(x100451,a923),f932(x100451,a923),f932(x100451,a923)),f254(x100451)),x100455))+~E(x100453,f88(f932(x100451,a923),f319(f319(f8(f932(x100451,a923),f932(x100451,a923),f932(x100451,a923)),f254(x100451)),x100455)))+~P1(f319(f319(f321(x100451),x100452),x100454))+P1(f319(f319(f321(x100451),f462(x100454,x100452,x100455,x100451,x100453)),x100454))+P1(f319(f319(f321(x100451),x100452),x100453)) % 219.27/219.54 [10100]~P93(x101001)+~P1(f319(f55(x101002),x101005))+~P1(f319(f319(f226(x101001),f2(x101001)),f319(x101003,f389(x101003,x101004,x101005,x101002,x101001))))+P1(f319(f319(f226(x101001),f319(f319(f6(x101002,x101001),x101003),x101004)),f319(f319(f6(x101002,x101001),x101003),x101005)))+~P1(f319(f319(f226(f932(x101002,a923)),x101004),x101005)) % 219.27/219.54 [7704]E(x77041,f2(a925))+P1(f319(x77042,x77043))+~E(x77044,f319(f319(f74(a925),f319(f319(f75(a925),x77041),x77043)),x77045))+~P1(f319(f319(f227(a925),x77045),x77041))+~P1(f319(x77042,f319(f319(f30(a925),x77044),x77041))) % 219.27/219.54 [7779]E(x77791,f2(a925))+P1(f319(x77792,x77793))+~P1(f319(x77792,f39(a925,x77794,x77791)))+~E(x77794,f319(f319(f74(a925),f319(f319(f75(a925),x77791),x77795)),x77793))+~P1(f319(f319(f227(a925),x77793),x77791)) % 219.27/219.54 [8072]~P73(x80723)+E(f319(x80721,x80722),f2(x80723))+~P1(f319(f55(x80724),x80725))+E(f319(f319(f9(x80724,x80723),x80721),f319(f319(f23(f932(x80724,a923)),x80725),f319(f319(f301(x80724),x80722),f180(f932(x80724,a923))))),f319(f319(f9(x80724,x80723),x80721),x80725))+P1(f319(f319(f321(x80724),x80722),x80725)) % 219.27/219.54 [8472]~P79(x84721)+~P1(f319(f55(x84722),x84725))+~P1(f319(f55(x84722),x84724))+~E(f319(f319(f93(f932(x84722,a923)),x84724),x84725),f180(f932(x84722,a923)))+E(f319(f319(f74(x84721),f319(f319(f6(x84722,x84721),x84723),x84724)),f319(f319(f6(x84722,x84721),x84723),x84725)),f319(f319(f6(x84722,x84721),x84723),f319(f319(f102(f932(x84722,a923)),x84724),x84725))) % 219.27/219.54 [8474]~P78(x84741)+~P1(f319(f55(x84742),x84745))+~P1(f319(f55(x84742),x84744))+~E(f319(f319(f93(f932(x84742,a923)),x84744),x84745),f180(f932(x84742,a923)))+E(f319(f319(f75(x84741),f319(f319(f9(x84742,x84741),x84743),x84744)),f319(f319(f9(x84742,x84741),x84743),x84745)),f319(f319(f9(x84742,x84741),x84743),f319(f319(f102(f932(x84742,a923)),x84744),x84745))) % 219.27/219.54 [8574]~P73(x85743)+E(f319(x85741,x85742),f2(x85743))+~P1(f319(f55(x85744),x85745))+E(f319(f319(f9(x85744,x85743),x85741),f319(f319(f23(f932(x85744,a923)),x85745),f319(f319(f301(x85744),x85742),f180(f932(x85744,a923))))),f319(f319(f283(x85743),f319(f319(f9(x85744,x85743),x85741),x85745)),f319(x85741,x85742)))+~P1(f319(f319(f321(x85744),x85742),x85745)) % 219.27/219.54 [9306]~P9(x93061,x93065,x93064)+~E(f319(f319(f54(x93061),f319(f319(f301(x93061),x93062),f180(f932(x93061,a923)))),x93064),f319(f319(f54(x93061),f319(f319(f301(x93061),x93063),f180(f932(x93061,a923)))),x93064))+~P1(f319(f319(f321(x93061),x93063),x93065))+~P1(f319(f319(f321(x93061),x93062),x93065))+P1(f319(f319(f321(f931(x93061,x93061)),f319(f319(f244(x93061,x93061),x93062),x93063)),x93064)) % 219.27/219.54 [9328]~P9(x93281,x93285,x93283)+E(f319(f319(f54(x93281),f319(f319(f301(x93281),x93282),f180(f932(x93281,a923)))),x93283),f319(f319(f54(x93281),f319(f319(f301(x93281),x93284),f180(f932(x93281,a923)))),x93283))+~P1(f319(f319(f321(x93281),x93284),x93285))+~P1(f319(f319(f321(x93281),x93282),x93285))+~P1(f319(f319(f321(f931(x93281,x93281)),f319(f319(f244(x93281,x93281),x93282),x93284)),x93283)) % 219.27/219.54 [9628]~P78(x96281)+~P1(f319(f55(x96282),x96285))+~P1(f319(f55(x96282),x96284))+~E(f319(f319(f93(f932(x96282,a923)),x96284),x96285),f180(f932(x96282,a923)))+E(f319(f319(f75(x96281),f319(f319(f319(f59(x96281,x96282,f75(x96281)),x96283),f72(x96281)),x96284)),f319(f319(f319(f59(x96281,x96282,f75(x96281)),x96283),f72(x96281)),x96285)),f319(f319(f319(f59(x96281,x96282,f75(x96281)),x96283),f72(x96281)),f319(f319(f102(f932(x96282,a923)),x96284),x96285))) % 219.27/219.54 [9639]~P79(x96391)+~E(f319(x96393,f407(x96393,x96395,x96394,x96392,x96391)),f2(x96391))+~P1(f319(f55(x96392),x96394))+~P1(f319(f55(x96392),x96395))+E(f319(f319(f74(x96391),f319(f319(f6(x96392,x96391),x96393),x96394)),f319(f319(f6(x96392,x96391),x96393),x96395)),f319(f319(f6(x96392,x96391),x96393),f319(f319(f102(f932(x96392,a923)),x96394),x96395))) % 219.27/219.54 [9640]~P79(x96401)+~E(f319(x96403,f408(x96403,x96405,x96404,x96402,x96401)),f2(x96401))+~P1(f319(f55(x96402),x96404))+~P1(f319(f55(x96402),x96405))+E(f319(f319(f74(x96401),f319(f319(f6(x96402,x96401),x96403),x96404)),f319(f319(f6(x96402,x96401),x96403),x96405)),f319(f319(f6(x96402,x96401),x96403),f319(f319(f102(f932(x96402,a923)),x96404),x96405))) % 219.27/219.54 [9641]~P78(x96411)+~E(f319(x96413,f492(x96413,x96415,x96414,x96412,x96411)),f72(x96411))+~P1(f319(f55(x96412),x96414))+~P1(f319(f55(x96412),x96415))+E(f319(f319(f75(x96411),f319(f319(f9(x96412,x96411),x96413),x96414)),f319(f319(f9(x96412,x96411),x96413),x96415)),f319(f319(f9(x96412,x96411),x96413),f319(f319(f102(f932(x96412,a923)),x96414),x96415))) % 219.27/219.54 [9642]~P78(x96421)+~E(f319(x96423,f493(x96423,x96425,x96424,x96422,x96421)),f72(x96421))+~P1(f319(f55(x96422),x96424))+~P1(f319(f55(x96422),x96425))+E(f319(f319(f75(x96421),f319(f319(f9(x96422,x96421),x96423),x96424)),f319(f319(f9(x96422,x96421),x96423),x96425)),f319(f319(f9(x96422,x96421),x96423),f319(f319(f102(f932(x96422,a923)),x96424),x96425))) % 219.27/219.54 [9857]~P78(x98571)+~E(f319(x98573,f349(x98573,x98575,x98574,x98572,x98571)),f72(x98571))+~P1(f319(f55(x98572),x98574))+~P1(f319(f55(x98572),x98575))+E(f319(f319(f75(x98571),f319(f319(f319(f59(x98571,x98572,f75(x98571)),x98573),f72(x98571)),x98574)),f319(f319(f319(f59(x98571,x98572,f75(x98571)),x98573),f72(x98571)),x98575)),f319(f319(f319(f59(x98571,x98572,f75(x98571)),x98573),f72(x98571)),f319(f319(f102(f932(x98572,a923)),x98574),x98575))) % 219.27/219.54 [9978]~P79(x99782)+E(f319(f319(f6(x99781,x99782),x99783),x99784),f319(f319(f6(x99781,x99782),x99783),x99785))+~P1(f319(f55(x99781),x99785))+~P1(f319(f319(f226(f932(x99781,a923)),x99784),x99785))+P1(f319(f319(f321(x99781),f445(x99783,x99784,x99785,x99781,x99782)),f319(f319(f23(f932(x99781,a923)),x99785),x99784))) % 219.27/219.54 [9979]~P79(x99792)+E(f319(f319(f6(x99791,x99792),x99793),x99794),f319(f319(f6(x99791,x99792),x99793),x99795))+~P1(f319(f55(x99791),x99795))+~P1(f319(f319(f226(f932(x99791,a923)),x99794),x99795))+P1(f319(f319(f321(x99791),f446(x99793,x99794,x99795,x99791,x99792)),f319(f319(f23(f932(x99791,a923)),x99795),x99794))) % 219.27/219.54 [9980]~P78(x99802)+E(f319(f319(f9(x99801,x99802),x99803),x99804),f319(f319(f9(x99801,x99802),x99803),x99805))+~P1(f319(f55(x99801),x99805))+~P1(f319(f319(f226(f932(x99801,a923)),x99804),x99805))+P1(f319(f319(f321(x99801),f505(x99803,x99804,x99805,x99801,x99802)),f319(f319(f23(f932(x99801,a923)),x99805),x99804))) % 219.27/219.54 [9981]~P78(x99812)+E(f319(f319(f9(x99811,x99812),x99813),x99814),f319(f319(f9(x99811,x99812),x99813),x99815))+~P1(f319(f55(x99811),x99815))+~P1(f319(f319(f226(f932(x99811,a923)),x99814),x99815))+P1(f319(f319(f321(x99811),f506(x99813,x99814,x99815,x99811,x99812)),f319(f319(f23(f932(x99811,a923)),x99815),x99814))) % 219.27/219.54 [10001]~P79(x100011)+~P1(f319(f55(x100012),x100014))+~P1(f319(f55(x100012),x100015))+E(f319(f319(f74(x100011),f319(f319(f6(x100012,x100011),x100013),x100014)),f319(f319(f6(x100012,x100011),x100013),x100015)),f319(f319(f6(x100012,x100011),x100013),f319(f319(f102(f932(x100012,a923)),x100014),x100015)))+P1(f319(f319(f321(x100012),f407(x100013,x100015,x100014,x100012,x100011)),f319(f319(f93(f932(x100012,a923)),x100014),x100015))) % 219.27/219.54 [10002]~P79(x100021)+~P1(f319(f55(x100022),x100024))+~P1(f319(f55(x100022),x100025))+E(f319(f319(f74(x100021),f319(f319(f6(x100022,x100021),x100023),x100024)),f319(f319(f6(x100022,x100021),x100023),x100025)),f319(f319(f6(x100022,x100021),x100023),f319(f319(f102(f932(x100022,a923)),x100024),x100025)))+P1(f319(f319(f321(x100022),f408(x100023,x100025,x100024,x100022,x100021)),f319(f319(f93(f932(x100022,a923)),x100024),x100025))) % 219.27/219.54 [10003]~P78(x100031)+~P1(f319(f55(x100032),x100034))+~P1(f319(f55(x100032),x100035))+E(f319(f319(f75(x100031),f319(f319(f9(x100032,x100031),x100033),x100034)),f319(f319(f9(x100032,x100031),x100033),x100035)),f319(f319(f9(x100032,x100031),x100033),f319(f319(f102(f932(x100032,a923)),x100034),x100035)))+P1(f319(f319(f321(x100032),f492(x100033,x100035,x100034,x100032,x100031)),f319(f319(f93(f932(x100032,a923)),x100034),x100035))) % 219.27/219.54 [10004]~P78(x100041)+~P1(f319(f55(x100042),x100044))+~P1(f319(f55(x100042),x100045))+E(f319(f319(f75(x100041),f319(f319(f9(x100042,x100041),x100043),x100044)),f319(f319(f9(x100042,x100041),x100043),x100045)),f319(f319(f9(x100042,x100041),x100043),f319(f319(f102(f932(x100042,a923)),x100044),x100045)))+P1(f319(f319(f321(x100042),f493(x100043,x100045,x100044,x100042,x100041)),f319(f319(f93(f932(x100042,a923)),x100044),x100045))) % 219.27/219.54 [10008]~P41(f932(x100083,a923),f932(x100083,a923),x100084)+P1(f319(x100081,x100082))+~E(x100085,f87(f932(x100083,a923),x100084))+~P1(f319(f319(f321(x100083),x100082),x100085))+P1(f319(f319(f321(x100083),f461(x100081,x100082,x100084,x100083,x100085)),f319(x100084,f319(f319(f93(f932(x100083,a923)),x100085),f319(f254(x100083),x100081))))) % 219.27/219.54 [10012]~P93(x100125)+~P1(f319(f55(x100121),x100124))+P1(f319(f319(f226(x100125),f319(f319(f6(x100121,x100125),x100122),x100123)),f319(f319(f6(x100121,x100125),x100122),x100124)))+~P1(f319(f319(f226(f932(x100121,a923)),x100123),x100124))+P1(f319(f319(f321(x100121),f389(x100122,x100123,x100124,x100121,x100125)),f319(f319(f23(f932(x100121,a923)),x100124),x100123))) % 219.27/219.54 [10059]~P78(x100591)+~P1(f319(f55(x100592),x100594))+~P1(f319(f55(x100592),x100595))+E(f319(f319(f75(x100591),f319(f319(f319(f59(x100591,x100592,f75(x100591)),x100593),f72(x100591)),x100594)),f319(f319(f319(f59(x100591,x100592,f75(x100591)),x100593),f72(x100591)),x100595)),f319(f319(f319(f59(x100591,x100592,f75(x100591)),x100593),f72(x100591)),f319(f319(f102(f932(x100592,a923)),x100594),x100595)))+P1(f319(f319(f321(x100592),f349(x100593,x100595,x100594,x100592,x100591)),f319(f319(f93(f932(x100592,a923)),x100594),x100595))) % 219.27/219.54 [8988]~P19(x89881,x89884,x89885)+~P1(f319(f55(x89881),x89882))+E(f319(f319(f23(f932(x89881,a923)),x89882),f319(f319(f301(x89881),x89883),f180(f932(x89881,a923)))),f180(f932(x89881,a923)))+~P1(f319(f319(f321(x89881),x89883),x89882))+E(f319(f319(x89884,x89883),f319(x89885,f319(f319(f23(f932(x89881,a923)),x89882),f319(f319(f301(x89881),x89883),f180(f932(x89881,a923)))))),f319(x89885,x89882)) % 219.27/219.54 [9067]~P19(x90671,x90674,x90675)+~P1(f319(f55(x90671),x90673))+~P1(f319(f55(x90671),x90672))+E(f319(f319(f93(f932(x90671,a923)),x90672),x90673),f180(f932(x90671,a923)))+E(f319(f319(x90674,f319(x90675,f319(f319(f102(f932(x90671,a923)),x90672),x90673))),f319(x90675,f319(f319(f93(f932(x90671,a923)),x90672),x90673))),f319(f319(x90674,f319(x90675,x90672)),f319(x90675,x90673))) % 219.27/219.54 [9255]~P41(f932(x92551,a923),f932(x92551,a923),x92554)+~E(x92553,f88(f932(x92551,a923),x92554))+P1(f319(f319(f321(x92551),x92552),x92553))+~P1(f319(f319(f321(x92551),x92552),x92555))+~P1(f319(f319(f226(f932(x92551,a923)),x92555),f319(x92554,f319(f319(f102(f932(x92551,a923)),x92555),x92553)))) % 219.27/219.54 [9644]~P1(f319(f319(f226(a1),x96444),f2(a1)))+~P1(f319(f319(f227(a1),x96443),x96445))+P1(f319(f319(f226(a1),x96441),x96442))+~P1(f319(f319(f227(a1),x96443),x96444))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),f319(f319(f75(a1),x96443),x96442)),x96445)),f319(f319(f74(a1),f319(f319(f75(a1),x96443),x96441)),x96444))) % 219.27/219.54 [9646]~P1(f319(f319(f226(a1),f2(a1)),x96465))+P1(f319(f319(f226(a1),x96461),x96462))+~P1(f319(f319(f227(a1),x96463),x96464))+~P1(f319(f319(f227(a1),x96465),x96464))+~P1(f319(f319(f226(a1),f319(f319(f74(a1),f319(f319(f75(a1),x96464),x96461)),x96465)),f319(f319(f74(a1),f319(f319(f75(a1),x96464),x96462)),x96463))) % 219.27/219.54 [9763]~P73(x97635)+E(f319(x97631,f495(x97631,x97632,x97633,x97634,x97635)),f2(x97635))+~P1(f319(f55(x97634),x97633))+~P1(f319(f55(x97634),x97632))+E(f319(f319(f283(x97635),f319(f319(f75(x97635),f319(f319(f9(x97634,x97635),x97631),x97633)),f319(f319(f9(x97634,x97635),x97631),x97632))),f319(f319(f9(x97634,x97635),x97631),f319(f319(f93(f932(x97634,a923)),x97633),x97632))),f319(f319(f9(x97634,x97635),x97631),f319(f319(f102(f932(x97634,a923)),x97633),x97632))) % 219.27/219.54 [10051]~P73(x100511)+~P1(f319(f55(x100512),x100514))+~P1(f319(f55(x100512),x100515))+E(f319(f319(f283(x100511),f319(f319(f75(x100511),f319(f319(f9(x100512,x100511),x100513),x100514)),f319(f319(f9(x100512,x100511),x100513),x100515))),f319(f319(f9(x100512,x100511),x100513),f319(f319(f93(f932(x100512,a923)),x100514),x100515))),f319(f319(f9(x100512,x100511),x100513),f319(f319(f102(f932(x100512,a923)),x100514),x100515)))+P1(f319(f319(f321(x100512),f495(x100513,x100515,x100514,x100512,x100511)),f319(f319(f93(f932(x100512,a923)),x100514),x100515))) % 219.27/219.54 [9348]E(f319(f319(f126(x93481),x93482),x93483),f319(f319(f126(x93481),x93484),x93485))+~E(f319(f319(f167(x93481),f319(f181(f926(x93481)),x93484)),x93482),x93484)+~E(f319(f319(f167(x93481),f319(f181(f926(x93481)),x93482)),x93484),x93482)+~E(x93485,f319(f319(f126(x93481),f319(f319(f130(x93481),f319(f181(f926(x93481)),x93484)),x93482)),x93483))+~E(f319(f319(f126(x93481),f319(f319(f130(x93481),f319(f181(f926(x93481)),x93482)),x93484)),x93485),x93483) % 219.27/219.54 [9761]~P4(x97612)+E(f319(f319(f140(x97611,x97612,x97613),x97614),f162(x97611,x97614,x97615)),x97615)+~P14(x97612,f319(f319(f146(x97611,x97612),x97613),x97615))+~P1(f319(f319(f321(x97611),x97614),f319(f164(x97611),x97615)))+~E(f319(f133(x97611),f319(f128(x97611,f319(f319(f8(x97612,a923,x97611),f319(a316,f319(x97613,x97614))),x97613)),x97615)),x97614) % 219.27/219.54 [10118]~P76(x101181)+~P1(f319(f60(x101181,x101181,f75(x101181),x101182,x101183),x101185))+~P1(f319(f319(f321(x101181),x101184),x101183))+P1(f319(f319(f321(x101181),x101182),x101183))+P1(f319(f60(x101181,x101181,f75(x101181),x101184,f319(f319(f301(x101181),x101182),f319(f319(f23(f932(x101181,a923)),x101183),f319(f319(f301(x101181),x101184),f180(f932(x101181,a923)))))),x101185)) % 219.27/219.54 [10484]~P41(f932(x104841,a923),f932(x104841,a923),x104844)+~E(x104843,f88(f932(x104841,a923),x104844))+P1(f319(f319(f321(x104841),x104842),x104843))+~P1(f319(f319(f321(x104841),x104842),x104845))+~P1(f319(f319(f226(f932(x104841,a923)),x104845),f319(x104844,f87(f932(x104841,a923),f319(f319(f7(f932(x104841,a923),f932(x104841,a923),f932(x104841,a923)),f319(f319(f8(f932(x104841,a923),f932(f932(x104841,a923),f932(x104841,a923)),f932(x104841,a923)),f102(f932(x104841,a923))),f319(f319(f7(f932(x104841,a923),f932(x104841,a923),f932(x104841,a923)),f319(f319(f8(f932(x104841,a923),f932(f932(x104841,a923),f932(x104841,a923)),f932(x104841,a923)),f102(f932(x104841,a923))),x104844)),x104845))),x104843))))) % 219.27/219.54 [7480]E(x74801,x74802)+~P26(x74804,x74805,x74803,x74806)+~E(f319(x74803,x74801),f319(x74803,x74802))+~P1(f319(f319(f321(x74804),x74802),x74806))+~P1(f319(f319(f321(x74804),x74801),x74806)) % 219.27/219.54 [6727]~P148(x67274)+E(x67271,x67272)+~E(x67275,x67276)+E(x67273,f2(x67274))+~E(f319(f319(f74(x67274),x67275),f319(f319(f75(x67274),x67273),x67271)),f319(f319(f74(x67274),x67276),f319(f319(f75(x67274),x67273),x67272))) % 219.27/219.54 [7759]~P4(x77591)+~P6(x77591)+~P1(f319(f319(f227(x77591),x77592),f319(x77595,x77596)))+~P1(f319(f319(f321(x77593),x77596),x77594))+P1(f319(f319(f227(x77591),x77592),f319(f319(f33(x77593,x77591),x77594),x77595))) % 219.27/219.54 [10114]~P26(x101142,x101141,x101143,x101144)+~P26(x101141,x101142,x101146,x101145)+P27(x101141,x101142,f468(x101143,x101144,x101145,x101146,x101142,x101141),x101145,x101144)+~P1(f319(f319(f226(f932(x101142,a923)),f319(f302(x101141,x101142,x101146),x101145)),x101144))+~P1(f319(f319(f226(f932(x101141,a923)),f319(f302(x101142,x101141,x101143),x101144)),x101145)) % 219.27/219.54 [8442]~P4(x84421)+~P6(x84421)+~P1(f319(f319(f227(x84421),f319(x84424,x84426)),x84425))+~P1(f319(f319(f321(x84422),x84426),x84423))+P1(f319(f319(f227(x84421),f319(f319(f34(x84422,x84421),x84423),x84424)),x84425)) % 219.27/219.54 [8699]~P20(x86992,x86995,x86996,x86991)+~P1(f319(f55(x86992),x86994))+~P1(f319(f55(x86992),x86993))+~E(f319(f319(f93(f932(x86992,a923)),x86993),x86994),f180(f932(x86992,a923)))+E(f319(x86991,f319(f319(f102(f932(x86992,a923)),x86993),x86994)),f319(f66(x86995,x86995,x86995,f319(x86991,x86993)),f319(x86991,x86994))) % 219.27/219.54 [10330]~P78(x103301)+~E(f831(x103304,x103305,x103303,x103306,x103302,x103301),f832(x103304,x103305,x103303,x103306,x103302,x103301))+~P1(f319(f55(x103302),x103306))+E(f319(f319(f319(f59(x103301,x103302,f75(x103301)),f319(f319(f8(f932(x103303,a923),x103301,x103302),f319(f319(f59(x103301,x103303,f75(x103301)),x103304),f72(x103301))),x103305)),f72(x103301)),x103306),f319(f319(f319(f59(x103301,x103303,f75(x103301)),x103304),f72(x103301)),f319(f319(f33(x103302,f932(x103303,a923)),x103306),x103305)))+P1(f319(f319(f321(x103302),f829(x103304,x103305,x103303,x103306,x103302,x103301)),x103306)) % 219.27/219.54 [10360]~P78(x103601)+~E(f831(x103604,x103605,x103603,x103606,x103602,x103601),f832(x103604,x103605,x103603,x103606,x103602,x103601))+~P1(f319(f55(x103602),x103606))+E(f319(f319(f319(f59(x103601,x103602,f75(x103601)),f319(f319(f8(f932(x103603,a923),x103601,x103602),f319(f319(f59(x103601,x103603,f75(x103601)),x103604),f72(x103601))),x103605)),f72(x103601)),x103606),f319(f319(f319(f59(x103601,x103603,f75(x103601)),x103604),f72(x103601)),f319(f319(f33(x103602,f932(x103603,a923)),x103606),x103605)))+~P1(f319(f55(x103603),f319(x103605,f829(x103604,x103605,x103603,x103606,x103602,x103601)))) % 219.27/219.54 [10363]~P78(x103631)+~P1(f319(f55(x103632),x103636))+E(f319(f319(f319(f59(x103631,x103632,f75(x103631)),f319(f319(f8(f932(x103633,a923),x103631,x103632),f319(f319(f59(x103631,x103633,f75(x103631)),x103634),f72(x103631))),x103635)),f72(x103631)),x103636),f319(f319(f319(f59(x103631,x103633,f75(x103631)),x103634),f72(x103631)),f319(f319(f33(x103632,f932(x103633,a923)),x103636),x103635)))+P1(f319(f319(f321(x103632),f829(x103634,x103635,x103633,x103636,x103632,x103631)),x103636))+P1(f319(f319(f321(x103632),f832(x103634,x103635,x103633,x103636,x103632,x103631)),x103636)) % 219.27/219.54 [10364]~P78(x103641)+~P1(f319(f55(x103642),x103646))+E(f319(f319(f319(f59(x103641,x103642,f75(x103641)),f319(f319(f8(f932(x103643,a923),x103641,x103642),f319(f319(f59(x103641,x103643,f75(x103641)),x103644),f72(x103641))),x103645)),f72(x103641)),x103646),f319(f319(f319(f59(x103641,x103643,f75(x103641)),x103644),f72(x103641)),f319(f319(f33(x103642,f932(x103643,a923)),x103646),x103645)))+P1(f319(f319(f321(x103642),f829(x103644,x103645,x103643,x103646,x103642,x103641)),x103646))+P1(f319(f319(f321(x103642),f831(x103644,x103645,x103643,x103646,x103642,x103641)),x103646)) % 219.27/219.54 [10382]~P78(x103821)+~P1(f319(f55(x103822),x103826))+E(f319(f319(f319(f59(x103821,x103822,f75(x103821)),f319(f319(f8(f932(x103823,a923),x103821,x103822),f319(f319(f59(x103821,x103823,f75(x103821)),x103824),f72(x103821))),x103825)),f72(x103821)),x103826),f319(f319(f319(f59(x103821,x103823,f75(x103821)),x103824),f72(x103821)),f319(f319(f33(x103822,f932(x103823,a923)),x103826),x103825)))+P1(f319(f319(f321(x103822),f832(x103824,x103825,x103823,x103826,x103822,x103821)),x103826))+~P1(f319(f55(x103823),f319(x103825,f829(x103824,x103825,x103823,x103826,x103822,x103821)))) % 219.27/219.54 [10383]~P78(x103831)+~P1(f319(f55(x103832),x103836))+E(f319(f319(f319(f59(x103831,x103832,f75(x103831)),f319(f319(f8(f932(x103833,a923),x103831,x103832),f319(f319(f59(x103831,x103833,f75(x103831)),x103834),f72(x103831))),x103835)),f72(x103831)),x103836),f319(f319(f319(f59(x103831,x103833,f75(x103831)),x103834),f72(x103831)),f319(f319(f33(x103832,f932(x103833,a923)),x103836),x103835)))+P1(f319(f319(f321(x103832),f831(x103834,x103835,x103833,x103836,x103832,x103831)),x103836))+~P1(f319(f55(x103833),f319(x103835,f829(x103834,x103835,x103833,x103836,x103832,x103831)))) % 219.27/219.54 [10394]~P78(x103941)+~E(f319(f319(f93(f932(x103943,a923)),f319(x103945,f832(x103944,x103945,x103943,x103946,x103942,x103941))),f319(x103945,f831(x103944,x103945,x103943,x103946,x103942,x103941))),f180(f932(x103943,a923)))+~P1(f319(f55(x103942),x103946))+E(f319(f319(f319(f59(x103941,x103942,f75(x103941)),f319(f319(f8(f932(x103943,a923),x103941,x103942),f319(f319(f59(x103941,x103943,f75(x103941)),x103944),f72(x103941))),x103945)),f72(x103941)),x103946),f319(f319(f319(f59(x103941,x103943,f75(x103941)),x103944),f72(x103941)),f319(f319(f33(x103942,f932(x103943,a923)),x103946),x103945)))+P1(f319(f319(f321(x103942),f829(x103944,x103945,x103943,x103946,x103942,x103941)),x103946)) % 219.27/219.54 [10405]~P78(x104051)+~E(f319(f319(f93(f932(x104053,a923)),f319(x104055,f832(x104054,x104055,x104053,x104056,x104052,x104051))),f319(x104055,f831(x104054,x104055,x104053,x104056,x104052,x104051))),f180(f932(x104053,a923)))+~P1(f319(f55(x104052),x104056))+E(f319(f319(f319(f59(x104051,x104052,f75(x104051)),f319(f319(f8(f932(x104053,a923),x104051,x104052),f319(f319(f59(x104051,x104053,f75(x104051)),x104054),f72(x104051))),x104055)),f72(x104051)),x104056),f319(f319(f319(f59(x104051,x104053,f75(x104051)),x104054),f72(x104051)),f319(f319(f33(x104052,f932(x104053,a923)),x104056),x104055)))+~P1(f319(f55(x104053),f319(x104055,f829(x104054,x104055,x104053,x104056,x104052,x104051)))) % 219.27/219.54 [9440]~P123(x94401)+~P120(x94401)+~P1(f319(f319(f279(x94401),x94402),x94405))+~P1(f319(f319(f279(x94401),x94402),f319(f319(f74(x94401),x94403),x94406)))+P1(f319(f319(f279(x94401),x94402),f319(f319(f74(x94401),f319(f319(f23(x94401),x94403),f319(f319(f75(x94401),x94404),x94405))),x94406))) % 219.27/219.54 [9633]~P123(x96331)+~P120(x96331)+~P1(f319(f319(f279(x96331),x96332),x96335))+P1(f319(f319(f279(x96331),x96332),f319(f319(f74(x96331),x96333),x96334)))+~P1(f319(f319(f279(x96331),x96332),f319(f319(f74(x96331),f319(f319(f23(x96331),x96333),f319(f319(f75(x96331),x96336),x96335))),x96334))) % 219.27/219.54 [9037]E(x90371,x90372)+~P61(x90374,x90375,x90376,x90373,x90377)+~E(f319(x90373,x90371),f319(x90373,x90372))+~P1(f319(f319(f321(x90375),x90372),x90377))+~P1(f319(f319(f321(x90375),x90371),x90377)) % 219.27/219.54 [10372]~P1(f319(x103722,x103724))+~E(x103725,f319(f128(x103721,x103722),x103727))+E(f319(f128(x103721,x103722),x103723),f319(f319(f143(x103721),x103724),x103725))+~E(x103723,f319(f319(f126(x103721),x103726),f319(f319(f143(x103721),x103724),x103727)))+P1(f319(x103722,f769(x103725,x103724,x103723,x103722,x103721,x103726,x103727))) % 219.27/219.54 [10373]~P1(f319(x103734,x103732))+~E(x103733,f319(f128(x103731,x103734),x103737))+E(f319(f319(f143(x103731),x103732),x103733),f319(f128(x103731,x103734),x103735))+~E(x103735,f319(f319(f126(x103731),x103736),f319(f319(f143(x103731),x103732),x103737)))+P1(f319(x103734,f768(x103735,x103734,x103733,x103732,x103731,x103736,x103737))) % 219.27/219.54 [10418]~P1(f319(x104182,x104184))+~E(x104185,f319(f128(x104181,x104182),x104187))+E(f319(f128(x104181,x104182),x104183),f319(f319(f143(x104181),x104184),x104185))+~E(x104183,f319(f319(f126(x104181),x104186),f319(f319(f143(x104181),x104184),x104187)))+P1(f319(f319(f321(x104181),f769(x104185,x104184,x104183,x104182,x104181,x104186,x104187)),f319(f164(x104181),x104186))) % 219.27/219.54 [10419]~P1(f319(x104194,x104192))+~E(x104193,f319(f128(x104191,x104194),x104197))+E(f319(f319(f143(x104191),x104192),x104193),f319(f128(x104191,x104194),x104195))+~E(x104195,f319(f319(f126(x104191),x104196),f319(f319(f143(x104191),x104192),x104197)))+P1(f319(f319(f321(x104191),f768(x104195,x104194,x104193,x104192,x104191,x104196,x104197)),f319(f164(x104191),x104196))) % 219.27/219.54 [10423]~P9(x104231,x104237,x104236)+~P12(x104231,f932(x104235,a923),x104236,x104234)+P1(f319(f319(f321(x104231),f550(x104232,x104233,x104234,x104235,x104236,x104237,x104231)),x104237))+~P1(f319(f319(f321(f932(x104231,a923)),x104233),f319(f319(f54(x104231),x104237),x104236)))+P1(f319(f319(f321(f932(x104235,a923)),f319(f319(f33(x104231,f932(x104235,a923)),x104233),x104234)),x104232)) % 219.27/219.54 [10479]~P9(x104792,x104796,x104797)+~P12(x104792,f932(x104791,a923),x104797,x104794)+~P1(f319(f319(f321(f932(x104792,a923)),x104793),f319(f319(f54(x104792),x104796),x104797)))+~P1(f319(f319(f321(f932(x104791,a923)),f319(x104794,f550(x104795,x104793,x104794,x104791,x104797,x104796,x104792))),x104795))+P1(f319(f319(f321(f932(x104791,a923)),f319(f319(f33(x104792,f932(x104791,a923)),x104793),x104794)),x104795)) % 219.27/219.54 [8617]~P78(x86172)+~P26(x86171,x86175,x86178,x86174)+~E(x86173,f319(f66(x86175,x86172,x86171,x86176),x86178))+~E(x86177,f319(f302(x86171,x86175,x86178),x86174))+E(f319(f319(f9(x86171,x86172),x86173),x86174),f319(f319(f9(x86175,x86172),x86176),x86177)) % 219.27/219.54 [10483]~P78(x104832)+~P26(x104835,x104831,x104838,x104837)+~E(f319(x104836,f500(x104833,x104836,x104834,x104837,x104838,x104831,x104835,x104832)),f319(f319(f66(x104831,x104832,x104835,x104833),x104838),f500(x104833,x104836,x104834,x104837,x104838,x104831,x104835,x104832)))+~E(x104834,f319(f302(x104835,x104831,x104838),x104837))+E(f319(f319(f9(x104831,x104832),x104833),x104834),f319(f319(f9(x104835,x104832),x104836),x104837)) % 219.27/219.54 [10488]~P79(x104882)+~P26(x104881,x104885,x104888,x104884)+~E(x104887,f319(f302(x104881,x104885,x104888),x104884))+E(f319(f319(f6(x104881,x104882),x104883),x104884),f319(f319(f6(x104885,x104882),x104886),x104887))+P1(f319(f319(f321(x104881),f622(x104886,x104883,x104887,x104884,x104888,x104885,x104881,x104882)),x104884)) % 219.27/219.54 [10489]~P78(x104892)+~P26(x104891,x104895,x104898,x104894)+~E(x104897,f319(f302(x104891,x104895,x104898),x104894))+E(f319(f319(f9(x104891,x104892),x104893),x104894),f319(f319(f9(x104895,x104892),x104896),x104897))+P1(f319(f319(f321(x104891),f500(x104896,x104893,x104897,x104894,x104898,x104895,x104891,x104892)),x104894)) % 219.27/219.54 [10494]~P79(x104942)+~P26(x104945,x104941,x104948,x104947)+~E(x104944,f319(f302(x104945,x104941,x104948),x104947))+~E(f319(x104946,f622(x104943,x104946,x104944,x104947,x104948,x104941,x104945,x104942)),f319(x104943,f319(x104948,f622(x104943,x104946,x104944,x104947,x104948,x104941,x104945,x104942))))+E(f319(f319(f6(x104941,x104942),x104943),x104944),f319(f319(f6(x104945,x104942),x104946),x104947)) % 219.27/219.54 [9934]~P24(x99346,x99342,x99345,x99347,x99348,x99341)+~P1(f319(f55(x99342),x99344))+~P1(f319(f55(x99342),x99343))+~E(f319(f319(f93(f932(x99342,a923)),x99343),x99344),f180(f932(x99342,a923)))+E(f319(x99341,f319(f319(f102(f932(x99342,a923)),x99343),x99344)),f319(f319(x99345,f319(x99341,x99343)),f319(x99341,x99344))) % 219.27/219.54 [10357]~P24(x103578,x103572,x103575,x103577,x103576,x103571)+~E(f319(x103576,f344(x103574,x103573,x103571,x103576,x103577,x103575,x103572)),x103577)+~P1(f319(f55(x103572),x103573))+~P1(f319(f55(x103572),x103574))+E(f319(x103571,f319(f319(f102(f932(x103572,a923)),x103573),x103574)),f319(f319(x103575,f319(x103571,x103573)),f319(x103571,x103574))) % 219.27/219.54 [10430]~P24(x104308,x104302,x104305,x104307,x104306,x104301)+~P1(f319(f55(x104302),x104303))+~P1(f319(f55(x104302),x104304))+E(f319(x104301,f319(f319(f102(f932(x104302,a923)),x104303),x104304)),f319(f319(x104305,f319(x104301,x104303)),f319(x104301,x104304)))+P1(f319(f319(f321(x104302),f344(x104304,x104303,x104301,x104306,x104307,x104305,x104302)),f319(f319(f93(f932(x104302,a923)),x104303),x104304))) % 219.27/219.54 [10105]~P9(x101054,x101058,x101055)+~P9(x101051,x101059,x101053)+~P13(x101051,x101054,f932(x101052,a923),x101053,x101055,x101057)+P12(x101051,f932(x101052,a923),x101053,f319(f319(f8(f932(x101054,f932(x101052,a923)),f932(x101052,a923),x101051),f319(f33(x101054,f932(x101052,a923)),f319(f277(x101054,x101054,x101055),f319(f319(f301(x101054),x101056),f180(f932(x101054,a923)))))),x101057))+~P1(f319(f319(f321(x101054),x101056),x101058)) % 219.27/219.54 [5630]~P4(x56303)+~P14(x56303,x56301)+E(x56301,f747(x56302,x56303))+~E(f319(f164(x56303),x56301),x56302)+~P1(f319(f55(x56303),x56302))+~P1(f319(f129(x56303),x56301)) % 219.27/219.54 [7471]P16(x74711,x74712)+~E(f319(x74712,f827(x74712)),f319(x74712,f828(x74712)))+~P1(f319(f319(x74712,f827(x74712)),f827(x74712)))+~P1(f319(f319(x74712,f827(x74712)),f828(x74712)))+~P1(f319(f319(x74712,f828(x74712)),f828(x74712)))+~P1(f319(f319(x74712,x74713),x74713)) % 219.27/219.54 [5254]~P133(x52542)+~P138(x52542)+~P150(x52542)+~P119(x52542)+E(x52541,f2(x52542))+~E(f319(f319(f236(x52542),x52541),x52543),f2(x52542)) % 219.27/219.54 [5255]~P133(x52552)+~P138(x52552)+~P150(x52552)+~P119(x52552)+~E(x52551,f2(a925))+~E(f319(f319(f236(x52552),x52553),x52551),f2(x52552)) % 219.27/219.54 [6709]~P93(x67091)+~E(x67093,f2(x67091))+~E(x67092,f2(x67091))+E(f319(f319(f74(x67091),x67092),x67093),f2(x67091))+~P1(f319(f319(f226(x67091),f2(x67091)),x67093))+~P1(f319(f319(f226(x67091),f2(x67091)),x67092)) % 219.27/219.54 [9106]~E(f319(f243(a925,a925),x91063),f2(a925))+~E(x91061,f319(f319(f74(a925),f319(f319(f75(a925),f319(f243(a925,a925),x91063)),x91062)),f319(f248(a925,a925),x91063)))+P1(f319(f42(x91061,x91062),x91063))+~P1(f319(f319(f226(a925),f319(f248(a925,a925),x91063)),f2(a925)))+P1(f319(f319(f227(a925),f2(a925)),x91062))+~P1(f319(f319(f227(a925),x91062),f319(f248(a925,a925),x91063))) % 219.27/219.54 [9114]E(x91141,f2(a925))+~E(x91142,f319(f319(f74(a925),f319(f319(f75(a925),f319(f243(a925,a925),x91143)),x91141)),f319(f248(a925,a925),x91143)))+P1(f319(f42(x91142,x91141),x91143))+~P1(f319(f319(f227(a925),f2(a925)),x91141))+~P1(f319(f319(f226(a925),f2(a925)),f319(f248(a925,a925),x91143)))+~P1(f319(f319(f227(a925),f319(f248(a925,a925),x91143)),x91141)) % 219.27/219.54 [9132]~E(f319(f243(a925,a925),x91323),f2(a925))+~E(x91321,f319(f319(f74(a925),f319(f319(f75(a925),f319(f243(a925,a925),x91323)),x91322)),f319(f248(a925,a925),x91323)))+P1(f319(f42(x91321,x91322),x91323))+~P1(f319(f319(f227(a925),f2(a925)),x91322))+~P1(f319(f319(f226(a925),f2(a925)),f319(f248(a925,a925),x91323)))+~P1(f319(f319(f227(a925),f319(f248(a925,a925),x91323)),x91322)) % 219.27/219.54 [7098]~P102(x70982)+E(x70981,f180(f932(x70982,a923)))+E(x70983,f180(f932(x70982,a923)))+~P1(f319(f55(x70982),x70981))+~P1(f319(f55(x70982),x70983))+E(f10(x70982,f319(f319(f102(f932(x70982,a923)),x70983),x70981)),f319(f319(f93(x70982),f10(x70982,x70983)),f10(x70982,x70981))) % 219.27/219.54 [7099]~P102(x70992)+E(x70991,f180(f932(x70992,a923)))+E(x70993,f180(f932(x70992,a923)))+~P1(f319(f55(x70992),x70991))+~P1(f319(f55(x70992),x70993))+E(f13(x70992,f319(f319(f102(f932(x70992,a923)),x70993),x70991)),f319(f319(f102(x70992),f13(x70992,x70993)),f13(x70992,x70991))) % 219.27/219.54 [7100]~P4(x71002)+E(x71001,f180(f932(x71002,a923)))+E(x71003,f180(f932(x71002,a923)))+~P1(f319(f55(x71002),x71001))+~P1(f319(f55(x71002),x71003))+E(f14(x71002,f319(f319(f102(f932(x71002,a923)),x71003),x71001)),f319(f319(f224(x71002),f14(x71002,x71003)),f14(x71002,x71001))) % 219.27/219.54 [7101]~P4(x71012)+E(x71011,f180(f932(x71012,a923)))+E(x71013,f180(f932(x71012,a923)))+~P1(f319(f55(x71012),x71011))+~P1(f319(f55(x71012),x71013))+E(f15(x71012,f319(f319(f102(f932(x71012,a923)),x71013),x71011)),f319(f319(f225(x71012),f15(x71012,x71013)),f15(x71012,x71011))) % 219.27/219.54 [7734]~P101(x77342)+E(x77341,f180(f932(x77342,a923)))+E(x77343,f180(f932(x77342,a923)))+~P1(f319(f55(x77342),x77341))+~P1(f319(f55(x77342),x77343))+E(f319(f319(f75(x77342),f319(f57(x77342,f75(x77342)),x77343)),f319(f57(x77342,f75(x77342)),x77341)),f319(f57(x77342,f75(x77342)),f319(f319(f102(f932(x77342,a923)),x77343),x77341))) % 219.27/219.54 [7894]~P4(x78942)+E(x78941,f180(f932(x78942,a923)))+E(x78943,f180(f932(x78942,a923)))+~P1(f319(f55(x78942),x78941))+~P1(f319(f55(x78942),x78943))+E(f319(f319(f224(x78942),f11(x78942,f224(x78942),x78943)),f11(x78942,f224(x78942),x78941)),f11(x78942,f224(x78942),f319(f319(f102(f932(x78942,a923)),x78943),x78941))) % 219.27/219.54 [7895]~P4(x78952)+E(x78951,f180(f932(x78952,a923)))+E(x78953,f180(f932(x78952,a923)))+~P1(f319(f55(x78952),x78951))+~P1(f319(f55(x78952),x78953))+E(f319(f319(f225(x78952),f12(x78952,f225(x78952),x78953)),f12(x78952,f225(x78952),x78951)),f12(x78952,f225(x78952),f319(f319(f102(f932(x78952,a923)),x78953),x78951))) % 219.27/219.54 [8937]~P1(f319(x89371,x89373))+P1(f319(x89371,f395(x89371,x89372)))+P1(f319(x89371,f379(x89371,x89372)))+~P1(f319(f319(f227(a1),f2(a1)),x89372))+~P1(f319(f319(f321(a1),x89373),f295(a1,f72(a1),x89372)))+P1(f319(x89371,f319(f319(f23(a1),f379(x89371,x89372)),f319(f319(f75(a1),f391(x89371,x89372)),x89372)))) % 219.27/219.54 [9245]~P1(f319(x92451,x92453))+~P1(f319(x92451,f379(x92451,x92452)))+P1(f319(x92451,f395(x92451,x92452)))+~P1(f319(f319(f227(a1),f2(a1)),x92452))+~P1(f319(f319(f321(a1),x92453),f295(a1,f72(a1),x92452)))+~P1(f319(x92451,f319(f319(f23(a1),f379(x92451,x92452)),f319(f319(f75(a1),f391(x92451,x92452)),x92452)))) % 219.27/219.54 [10522]~P106(x105222)+E(x105221,f180(f932(x105222,a923)))+E(x105223,f180(f932(x105222,a923)))+~P1(f319(f55(x105222),x105221))+~P1(f319(f55(x105222),x105223))+E(f10(x105222,f319(f254(x105222),f319(f319(f8(f932(x105222,a923),a923,x105222),f81(x105222)),f319(f319(f8(f932(x105222,f932(x105222,a923)),f932(x105222,a923),x105222),f319(f8(f932(x105222,a923),a923,x105222),f81(x105222))),f319(f319(f7(x105222,f932(x105222,f932(x105222,a923)),f932(x105222,f932(x105222,a923))),f319(f319(f8(f932(x105222,f932(f932(x105222,a923),f932(x105222,a923))),f932(f932(x105222,f932(x105222,a923)),f932(x105222,f932(x105222,a923))),x105222),f18(x105222,f932(x105222,a923),f932(x105222,a923))),f319(f319(f8(f932(x105222,f932(x105222,f932(a923,a923))),f932(x105222,f932(f932(x105222,a923),f932(x105222,a923))),x105222),f319(f8(f932(x105222,f932(a923,a923)),f932(f932(x105222,a923),f932(x105222,a923)),x105222),f18(x105222,a923,a923))),f319(f319(f8(f932(x105222,f932(x105222,a923)),f932(x105222,f932(x105222,f932(a923,a923))),x105222),f319(f8(f932(x105222,a923),f932(x105222,f932(a923,a923)),x105222),f319(f8(a923,f932(a923,a923),x105222),a317))),f319(f319(f7(x105222,f932(x105222,f932(x105222,x105222)),f932(x105222,f932(x105222,a923))),f319(f319(f8(f932(f932(x105222,x105222),f932(x105222,a923)),f932(f932(x105222,f932(x105222,x105222)),f932(x105222,f932(x105222,a923))),x105222),f8(f932(x105222,x105222),f932(x105222,a923),x105222)),f319(f319(f8(f932(x105222,a923),f932(f932(x105222,x105222),f932(x105222,a923)),x105222),f8(x105222,a923,x105222)),a316))),f102(x105222)))))),f319(f319(f7(x105222,f932(x105222,a923),f932(x105222,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x105222,a923),f932(x105222,a923)),x105222),f8(a923,a923,x105222)),f319(f319(f8(a923,f932(a923,a923),x105222),a317),f319(f319(f7(x105222,f932(x105222,a923),a923),f321(x105222)),x105223)))),f319(f319(f7(x105222,f932(x105222,a923),a923),f321(x105222)),x105221))))))),f319(f319(f102(x105222),f10(x105222,x105223)),f10(x105222,x105221))) % 219.27/219.54 [10523]~P106(x105232)+E(x105231,f180(f932(x105232,a923)))+E(x105233,f180(f932(x105232,a923)))+~P1(f319(f55(x105232),x105231))+~P1(f319(f55(x105232),x105233))+E(f13(x105232,f319(f254(x105232),f319(f319(f8(f932(x105232,a923),a923,x105232),f81(x105232)),f319(f319(f8(f932(x105232,f932(x105232,a923)),f932(x105232,a923),x105232),f319(f8(f932(x105232,a923),a923,x105232),f81(x105232))),f319(f319(f7(x105232,f932(x105232,f932(x105232,a923)),f932(x105232,f932(x105232,a923))),f319(f319(f8(f932(x105232,f932(f932(x105232,a923),f932(x105232,a923))),f932(f932(x105232,f932(x105232,a923)),f932(x105232,f932(x105232,a923))),x105232),f18(x105232,f932(x105232,a923),f932(x105232,a923))),f319(f319(f8(f932(x105232,f932(x105232,f932(a923,a923))),f932(x105232,f932(f932(x105232,a923),f932(x105232,a923))),x105232),f319(f8(f932(x105232,f932(a923,a923)),f932(f932(x105232,a923),f932(x105232,a923)),x105232),f18(x105232,a923,a923))),f319(f319(f8(f932(x105232,f932(x105232,a923)),f932(x105232,f932(x105232,f932(a923,a923))),x105232),f319(f8(f932(x105232,a923),f932(x105232,f932(a923,a923)),x105232),f319(f8(a923,f932(a923,a923),x105232),a317))),f319(f319(f7(x105232,f932(x105232,f932(x105232,x105232)),f932(x105232,f932(x105232,a923))),f319(f319(f8(f932(f932(x105232,x105232),f932(x105232,a923)),f932(f932(x105232,f932(x105232,x105232)),f932(x105232,f932(x105232,a923))),x105232),f8(f932(x105232,x105232),f932(x105232,a923),x105232)),f319(f319(f8(f932(x105232,a923),f932(f932(x105232,x105232),f932(x105232,a923)),x105232),f8(x105232,a923,x105232)),a316))),f93(x105232)))))),f319(f319(f7(x105232,f932(x105232,a923),f932(x105232,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x105232,a923),f932(x105232,a923)),x105232),f8(a923,a923,x105232)),f319(f319(f8(a923,f932(a923,a923),x105232),a317),f319(f319(f7(x105232,f932(x105232,a923),a923),f321(x105232)),x105233)))),f319(f319(f7(x105232,f932(x105232,a923),a923),f321(x105232)),x105231))))))),f319(f319(f93(x105232),f13(x105232,x105233)),f13(x105232,x105231))) % 219.27/219.54 [10524]~P4(x105242)+E(x105241,f180(f932(x105242,a923)))+E(x105243,f180(f932(x105242,a923)))+~P1(f319(f55(x105242),x105241))+~P1(f319(f55(x105242),x105243))+E(f12(x105242,f225(x105242),f319(f254(x105242),f319(f319(f8(f932(x105242,a923),a923,x105242),f81(x105242)),f319(f319(f8(f932(x105242,f932(x105242,a923)),f932(x105242,a923),x105242),f319(f8(f932(x105242,a923),a923,x105242),f81(x105242))),f319(f319(f7(x105242,f932(x105242,f932(x105242,a923)),f932(x105242,f932(x105242,a923))),f319(f319(f8(f932(x105242,f932(f932(x105242,a923),f932(x105242,a923))),f932(f932(x105242,f932(x105242,a923)),f932(x105242,f932(x105242,a923))),x105242),f18(x105242,f932(x105242,a923),f932(x105242,a923))),f319(f319(f8(f932(x105242,f932(x105242,f932(a923,a923))),f932(x105242,f932(f932(x105242,a923),f932(x105242,a923))),x105242),f319(f8(f932(x105242,f932(a923,a923)),f932(f932(x105242,a923),f932(x105242,a923)),x105242),f18(x105242,a923,a923))),f319(f319(f8(f932(x105242,f932(x105242,a923)),f932(x105242,f932(x105242,f932(a923,a923))),x105242),f319(f8(f932(x105242,a923),f932(x105242,f932(a923,a923)),x105242),f319(f8(a923,f932(a923,a923),x105242),a317))),f319(f319(f7(x105242,f932(x105242,f932(x105242,x105242)),f932(x105242,f932(x105242,a923))),f319(f319(f8(f932(f932(x105242,x105242),f932(x105242,a923)),f932(f932(x105242,f932(x105242,x105242)),f932(x105242,f932(x105242,a923))),x105242),f8(f932(x105242,x105242),f932(x105242,a923),x105242)),f319(f319(f8(f932(x105242,a923),f932(f932(x105242,x105242),f932(x105242,a923)),x105242),f8(x105242,a923,x105242)),a316))),f224(x105242)))))),f319(f319(f7(x105242,f932(x105242,a923),f932(x105242,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x105242,a923),f932(x105242,a923)),x105242),f8(a923,a923,x105242)),f319(f319(f8(a923,f932(a923,a923),x105242),a317),f319(f319(f7(x105242,f932(x105242,a923),a923),f321(x105242)),x105243)))),f319(f319(f7(x105242,f932(x105242,a923),a923),f321(x105242)),x105241))))))),f319(f319(f224(x105242),f12(x105242,f225(x105242),x105243)),f12(x105242,f225(x105242),x105241))) % 219.27/219.54 [10525]~P4(x105252)+E(x105251,f180(f932(x105252,a923)))+E(x105253,f180(f932(x105252,a923)))+~P1(f319(f55(x105252),x105251))+~P1(f319(f55(x105252),x105253))+E(f11(x105252,f224(x105252),f319(f254(x105252),f319(f319(f8(f932(x105252,a923),a923,x105252),f81(x105252)),f319(f319(f8(f932(x105252,f932(x105252,a923)),f932(x105252,a923),x105252),f319(f8(f932(x105252,a923),a923,x105252),f81(x105252))),f319(f319(f7(x105252,f932(x105252,f932(x105252,a923)),f932(x105252,f932(x105252,a923))),f319(f319(f8(f932(x105252,f932(f932(x105252,a923),f932(x105252,a923))),f932(f932(x105252,f932(x105252,a923)),f932(x105252,f932(x105252,a923))),x105252),f18(x105252,f932(x105252,a923),f932(x105252,a923))),f319(f319(f8(f932(x105252,f932(x105252,f932(a923,a923))),f932(x105252,f932(f932(x105252,a923),f932(x105252,a923))),x105252),f319(f8(f932(x105252,f932(a923,a923)),f932(f932(x105252,a923),f932(x105252,a923)),x105252),f18(x105252,a923,a923))),f319(f319(f8(f932(x105252,f932(x105252,a923)),f932(x105252,f932(x105252,f932(a923,a923))),x105252),f319(f8(f932(x105252,a923),f932(x105252,f932(a923,a923)),x105252),f319(f8(a923,f932(a923,a923),x105252),a317))),f319(f319(f7(x105252,f932(x105252,f932(x105252,x105252)),f932(x105252,f932(x105252,a923))),f319(f319(f8(f932(f932(x105252,x105252),f932(x105252,a923)),f932(f932(x105252,f932(x105252,x105252)),f932(x105252,f932(x105252,a923))),x105252),f8(f932(x105252,x105252),f932(x105252,a923),x105252)),f319(f319(f8(f932(x105252,a923),f932(f932(x105252,x105252),f932(x105252,a923)),x105252),f8(x105252,a923,x105252)),a316))),f225(x105252)))))),f319(f319(f7(x105252,f932(x105252,a923),f932(x105252,a923)),f319(f319(f8(f932(a923,a923),f932(f932(x105252,a923),f932(x105252,a923)),x105252),f8(a923,a923,x105252)),f319(f319(f8(a923,f932(a923,a923),x105252),a317),f319(f319(f7(x105252,f932(x105252,a923),a923),f321(x105252)),x105253)))),f319(f319(f7(x105252,f932(x105252,a923),a923),f321(x105252)),x105251))))))),f319(f319(f225(x105252),f11(x105252,f224(x105252),x105253)),f11(x105252,f224(x105252),x105251))) % 219.27/219.54 [7427]~P129(x74273)+E(x74271,x74272)+~E(f319(f319(f236(x74273),x74271),x74274),f319(f319(f236(x74273),x74272),x74274))+~P1(f319(f319(f226(x74273),f2(x74273)),x74272))+~P1(f319(f319(f226(x74273),f2(x74273)),x74271))+~P1(f319(f319(f227(a925),f2(a925)),x74274)) % 219.27/219.54 [9386]~P1(f319(x93862,x93863))+~P1(f319(x93861,x93864))+E(f230(a925,x93861),f319(a104,f230(a925,x93862)))+P1(f319(x93862,f841(x93863,x93862,x93864,x93861)))+P1(f319(x93861,f2(a925)))+P1(f319(x93861,f319(a104,f841(x93863,x93862,x93864,x93861)))) % 219.27/219.54 [9648]~P1(f319(x96482,x96483))+~P1(f319(x96481,x96484))+E(f230(a925,x96481),f319(a104,f230(a925,x96482)))+~P1(f319(x96482,f841(x96483,x96482,x96484,x96481)))+P1(f319(x96481,f2(a925)))+~P1(f319(x96481,f319(a104,f841(x96483,x96482,x96484,x96481)))) % 219.27/219.54 [7696]~P4(x76962)+E(x76961,f180(f932(x76962,a923)))+~P1(f319(f55(x76962),x76961))+~P1(f319(f319(f321(x76962),x76964),x76961))+P1(f319(f319(f226(x76962),x76963),x76964))+~P1(f319(f319(f226(x76962),x76963),f319(f57(x76962,f224(x76962)),x76961))) % 219.27/219.54 [7697]~P108(x76972)+E(x76971,f180(f932(x76972,a923)))+~P1(f319(f55(x76972),x76971))+~P1(f319(f319(f321(x76972),x76974),x76971))+P1(f319(f319(f226(x76972),x76973),x76974))+~P1(f319(f319(f226(x76972),x76973),f319(f57(x76972,f93(x76972)),x76971))) % 219.27/219.54 [7698]~P4(x76982)+E(x76981,f180(f932(x76982,a923)))+~P1(f319(f55(x76982),x76981))+~P1(f319(f319(f321(x76982),x76984),x76981))+P1(f319(f319(f227(x76982),x76983),x76984))+~P1(f319(f319(f227(x76982),x76983),f319(f57(x76982,f224(x76982)),x76981))) % 219.27/219.54 [7603]E(x76031,f2(a1))+E(f319(f319(f30(a1),x76032),x76031),x76033)+~P1(f319(f319(f226(a1),x76034),f2(a1)))+~E(x76032,f319(f319(f74(a1),f319(f319(f75(a1),x76031),x76033)),x76034))+P1(f319(f319(f227(a1),f2(a1)),x76031))+~P1(f319(f319(f227(a1),x76031),x76034)) % 219.27/219.54 [7619]E(f39(a1,x76192,x76191),x76193)+E(x76191,f2(a1))+~P1(f319(f319(f226(a1),x76193),f2(a1)))+~E(x76192,f319(f319(f74(a1),f319(f319(f75(a1),x76191),x76194)),x76193))+P1(f319(f319(f227(a1),f2(a1)),x76191))+~P1(f319(f319(f227(a1),x76191),x76193)) % 219.27/219.54 [7733]E(x77331,f2(a1))+E(f319(f319(f30(a1),x77332),x77331),x77333)+~E(x77332,f319(f319(f74(a1),f319(f319(f75(a1),x77331),x77333)),x77334))+~P1(f319(f319(f226(a1),f2(a1)),x77334))+~P1(f319(f319(f227(a1),f2(a1)),x77331))+~P1(f319(f319(f227(a1),x77334),x77331)) % 219.27/219.54 [7755]E(f39(a1,x77552,x77551),x77553)+E(x77551,f2(a1))+~E(x77552,f319(f319(f74(a1),f319(f319(f75(a1),x77551),x77554)),x77553))+~P1(f319(f319(f226(a1),f2(a1)),x77553))+~P1(f319(f319(f227(a1),f2(a1)),x77551))+~P1(f319(f319(f227(a1),x77553),x77551)) % 219.27/219.54 [7898]~P4(x78982)+E(x78981,f180(f932(x78982,a923)))+~P1(f319(f55(x78982),x78981))+~P1(f319(f319(f321(x78982),x78984),x78981))+~P1(f319(f319(f226(x78982),x78984),x78983))+P1(f319(f319(f226(x78982),f319(f57(x78982,f224(x78982)),x78981)),x78983)) % 219.27/219.54 [7899]~P4(x78992)+E(x78991,f180(f932(x78992,a923)))+~P1(f319(f55(x78992),x78991))+~P1(f319(f319(f227(x78992),x78994),x78993))+~P1(f319(f319(f321(x78992),x78994),x78991))+P1(f319(f319(f227(x78992),f319(f57(x78992,f224(x78992)),x78991)),x78993)) % 219.27/219.54 [8467]~P1(f319(f319(f226(a1),x84674),f2(a1)))+~E(x84671,f319(f319(f74(a1),f319(f319(f75(a1),x84672),x84673)),x84674))+~P1(f319(f319(f226(a1),f2(a1)),x84674))+~P1(f319(f319(f227(a1),x84674),x84672))+~P1(f319(f319(f227(a1),x84672),x84674))+P1(f319(f43(x84671,x84672),f319(f319(f244(a1,a1),x84673),x84674))) % 219.27/219.54 [8636]~P113(x86361)+P1(f319(f319(f227(f932(x86361,a923)),f295(x86361,x86362,x86363)),f295(x86361,x86364,x86365)))+~P1(f319(f319(f226(x86361),x86364),x86362))+~P1(f319(f319(f226(x86361),x86364),x86365))+~P1(f319(f319(f226(x86361),x86363),x86365))+~P1(f319(f319(f227(x86361),x86363),x86365)) % 219.27/219.54 [8637]~P113(x86371)+P1(f319(f319(f227(f932(x86371,a923)),f295(x86371,x86372,x86373)),f295(x86371,x86374,x86375)))+~P1(f319(f319(f226(x86371),x86373),x86375))+~P1(f319(f319(f226(x86371),x86374),x86375))+~P1(f319(f319(f226(x86371),x86374),x86372))+~P1(f319(f319(f227(x86371),x86374),x86372)) % 219.27/219.54 [9510]P63(x95102,x95103,x95104,x95101)+E(x95101,f180(f932(x95102,a923)))+~P1(f319(f55(x95102),x95104))+~P1(f319(f55(x95102),x95101))+~P1(f319(f319(x95103,f561(x95101,x95104,x95103,x95102)),x95105))+~P1(f319(f319(f321(x95102),x95105),x95101)) % 219.27/219.54 [9511]P63(x95112,x95113,x95114,x95111)+E(x95111,f180(f932(x95112,a923)))+~P1(f319(f55(x95112),x95114))+~P1(f319(f55(x95112),x95111))+~P1(f319(f319(x95113,f817(x95113,x95111,x95114,x95112)),x95115))+~P1(f319(f319(f321(x95112),x95115),x95111)) % 219.27/219.54 [9512]P63(x95122,x95123,x95124,x95121)+E(x95121,f180(f932(x95122,a923)))+~P1(f319(f55(x95122),x95124))+~P1(f319(f55(x95122),x95121))+~P1(f319(f319(x95123,f818(x95121,x95124,x95123,x95122)),x95125))+~P1(f319(f319(f321(x95122),x95125),x95121)) % 219.27/219.54 [9663]~E(x96633,x96635)+~P78(x96631)+~P79(x96631)+~P42(x96633)+E(f319(f319(f6(a1,x96631),x96632),x96633),f319(f319(f6(a1,x96631),x96634),x96635))+P1(f319(f319(f226(a1),f2(a1)),f447(x96632,x96634,x96633,x96635,x96631))) % 219.27/219.54 [9664]~E(x96643,x96645)+~P78(x96641)+~P79(x96641)+~P42(x96643)+E(f319(f319(f9(a1,x96641),x96642),x96643),f319(f319(f9(a1,x96641),x96644),x96645))+P1(f319(f319(f226(a1),f2(a1)),f510(x96642,x96644,x96643,x96645,x96641))) % 219.27/219.54 [9839]~E(x98395,x98393)+~P78(x98391)+~P79(x98391)+~P42(x98395)+~E(f319(x98392,f447(x98394,x98392,x98395,x98393,x98391)),f319(x98394,f447(x98394,x98392,x98395,x98393,x98391)))+E(f319(f319(f6(a1,x98391),x98392),x98393),f319(f319(f6(a1,x98391),x98394),x98395)) % 219.27/219.54 [9840]~E(x98405,x98403)+~P78(x98401)+~P79(x98401)+~P42(x98405)+~E(f319(x98402,f510(x98404,x98402,x98405,x98403,x98401)),f319(x98404,f510(x98404,x98402,x98405,x98403,x98401)))+E(f319(f319(f9(a1,x98401),x98402),x98403),f319(f319(f9(a1,x98401),x98404),x98405)) % 219.27/219.54 [9931]~P68(x99313)+E(f319(x99311,x99312),f2(x99313))+~E(f319(f319(f6(x99314,x99313),x99311),x99315),f2(x99313))+~P1(f319(f55(x99314),x99315))+P1(f319(f319(f321(x99314),f429(x99312,x99311,x99315,x99314,x99313)),x99315))+~P1(f319(f319(f321(x99314),x99312),x99315)) % 219.27/219.54 [10073]~P68(x100733)+E(f319(x100731,x100732),f2(x100733))+~E(f319(f319(f6(x100734,x100733),x100731),x100735),f2(x100733))+~P1(f319(f55(x100734),x100735))+~P1(f319(f319(f321(x100734),x100732),x100735))+~P1(f319(f319(f226(x100733),f2(x100733)),f319(x100731,f429(x100732,x100731,x100735,x100734,x100733)))) % 219.27/219.54 [8554]~P141(x85541)+~P1(f319(f319(f226(x85541),x85543),x85545))+~P1(f319(f319(f226(x85541),x85542),x85544))+~P1(f319(f319(f226(x85541),f2(x85541)),x85543))+~P1(f319(f319(f226(x85541),f2(x85541)),x85544))+P1(f319(f319(f226(x85541),f319(f319(f75(x85541),x85542),x85543)),f319(f319(f75(x85541),x85544),x85545))) % 219.27/219.54 [8555]~P141(x85551)+~P1(f319(f319(f226(x85551),x85553),x85555))+~P1(f319(f319(f226(x85551),x85552),x85554))+~P1(f319(f319(f226(x85551),f2(x85551)),x85553))+~P1(f319(f319(f226(x85551),f2(x85551)),x85552))+P1(f319(f319(f226(x85551),f319(f319(f75(x85551),x85552),x85553)),f319(f319(f75(x85551),x85554),x85555))) % 219.27/219.54 [8556]~P75(x85561)+~P1(f319(f319(f227(x85561),f2(x85561)),x85565))+~P1(f319(f319(f226(x85561),x85565),x85563))+~P1(f319(f319(f226(x85561),x85562),x85564))+~P1(f319(f319(f226(x85561),f2(x85561)),x85562))+P1(f319(f319(f226(x85561),f319(f319(f283(x85561),x85562),x85563)),f319(f319(f283(x85561),x85564),x85565))) % 219.27/219.54 [8557]~P134(x85571)+~P1(f319(f319(f226(x85571),x85573),x85575))+~P1(f319(f319(f226(x85571),f2(x85571)),x85572))+~P1(f319(f319(f227(x85571),x85572),x85574))+~P1(f319(f319(f227(x85571),f2(x85571)),x85573))+P1(f319(f319(f227(x85571),f319(f319(f75(x85571),x85572),x85573)),f319(f319(f75(x85571),x85574),x85575))) % 219.27/219.54 [8558]~P134(x85581)+~P1(f319(f319(f226(x85581),x85582),x85584))+~P1(f319(f319(f226(x85581),f2(x85581)),x85583))+~P1(f319(f319(f227(x85581),x85583),x85585))+~P1(f319(f319(f227(x85581),f2(x85581)),x85582))+P1(f319(f319(f227(x85581),f319(f319(f75(x85581),x85582),x85583)),f319(f319(f75(x85581),x85584),x85585))) % 219.27/219.54 [8559]~P134(x85591)+~P1(f319(f319(f226(x85591),f2(x85591)),x85593))+~P1(f319(f319(f226(x85591),f2(x85591)),x85592))+~P1(f319(f319(f227(x85591),x85593),x85595))+~P1(f319(f319(f227(x85591),x85592),x85594))+P1(f319(f319(f227(x85591),f319(f319(f75(x85591),x85592),x85593)),f319(f319(f75(x85591),x85594),x85595))) % 219.27/219.54 [8560]~P134(x85601)+~P1(f319(f319(f226(x85601),f2(x85601)),x85603))+~P1(f319(f319(f227(x85601),x85603),x85605))+~P1(f319(f319(f227(x85601),x85602),x85604))+~P1(f319(f319(f227(x85601),f2(x85601)),x85604))+P1(f319(f319(f227(x85601),f319(f319(f75(x85601),x85602),x85603)),f319(f319(f75(x85601),x85604),x85605))) % 219.27/219.54 [8561]~P75(x85611)+~P1(f319(f319(f226(x85611),x85615),x85613))+~P1(f319(f319(f226(x85611),f2(x85611)),x85612))+~P1(f319(f319(f227(x85611),x85612),x85614))+~P1(f319(f319(f227(x85611),f2(x85611)),x85615))+P1(f319(f319(f227(x85611),f319(f319(f283(x85611),x85612),x85613)),f319(f319(f283(x85611),x85614),x85615))) % 219.27/219.54 [8562]~P75(x85621)+~P1(f319(f319(f226(x85621),x85622),x85624))+~P1(f319(f319(f227(x85621),x85625),x85623))+~P1(f319(f319(f227(x85621),f2(x85621)),x85625))+~P1(f319(f319(f227(x85621),f2(x85621)),x85622))+P1(f319(f319(f227(x85621),f319(f319(f283(x85621),x85622),x85623)),f319(f319(f283(x85621),x85624),x85625))) % 219.27/219.54 [9982]~P79(x99825)+~P89(x99825)+E(x99821,f180(f932(x99822,a923)))+~P1(f319(f55(x99822),x99821))+P1(f319(f319(f321(x99822),f350(x99823,x99824,x99821,x99822,x99825)),x99821))+P1(f319(f319(f227(x99825),f319(f319(f6(x99822,x99825),x99824),x99821)),f319(f319(f6(x99822,x99825),x99823),x99821))) % 219.27/219.54 [10101]~P79(x101011)+~P91(x101011)+~P1(f319(f55(x101012),x101015))+~P1(f319(f319(f226(x101011),f2(x101011)),f319(x101013,f410(x101013,x101014,x101015,x101012,x101011))))+P1(f319(f319(f226(x101011),f319(f319(f6(x101012,x101011),x101013),x101014)),f319(f319(f6(x101012,x101011),x101013),x101015)))+~P1(f319(f319(f226(f932(x101012,a923)),x101014),x101015)) % 219.27/219.54 [10273]~P79(x102733)+~P89(x102733)+E(x102731,f180(f932(x102732,a923)))+~P1(f319(f55(x102732),x102731))+~P1(f319(f319(f227(x102733),f319(x102734,f350(x102735,x102734,x102731,x102732,x102733))),f319(x102735,f350(x102735,x102734,x102731,x102732,x102733))))+P1(f319(f319(f227(x102733),f319(f319(f6(x102732,x102733),x102734),x102731)),f319(f319(f6(x102732,x102733),x102735),x102731))) % 219.27/219.54 [7280]~P18(x72802,x72805,x72804)+E(x72801,f180(f932(x72802,a923)))+E(x72803,f180(f932(x72802,a923)))+~P1(f319(f55(x72802),x72801))+~P1(f319(f55(x72802),x72803))+E(f319(x72804,f319(f319(f102(f932(x72802,a923)),x72803),x72801)),f319(f319(x72805,f319(x72804,x72803)),f319(x72804,x72801))) % 219.27/219.54 [7865]~P152(x78651,x78654,x78653)+P1(f319(x78651,x78652))+~P1(f319(f319(f227(a1),x78654),f2(a1)))+~P1(f319(f319(f226(a1),x78655),f2(a1)))+~E(x78653,f319(f319(f74(a1),f319(f319(f75(a1),x78654),x78652)),x78655))+~P1(f319(f319(f227(a1),x78654),x78655)) % 219.27/219.54 [7866]~P151(x78661,x78664,x78663)+P1(f319(x78661,x78662))+~P1(f319(f319(f227(a1),x78664),f2(a1)))+~P1(f319(f319(f226(a1),x78662),f2(a1)))+~E(x78663,f319(f319(f74(a1),f319(f319(f75(a1),x78664),x78665)),x78662))+~P1(f319(f319(f227(a1),x78664),x78662)) % 219.27/219.54 [7908]~P152(x79081,x79084,x79083)+P1(f319(x79081,x79082))+~E(x79083,f319(f319(f74(a1),f319(f319(f75(a1),x79084),x79082)),x79085))+~P1(f319(f319(f226(a1),f2(a1)),x79085))+~P1(f319(f319(f227(a1),f2(a1)),x79084))+~P1(f319(f319(f227(a1),x79085),x79084)) % 219.27/219.54 [7909]~P151(x79091,x79094,x79093)+P1(f319(x79091,x79092))+~E(x79093,f319(f319(f74(a1),f319(f319(f75(a1),x79094),x79095)),x79092))+~P1(f319(f319(f226(a1),f2(a1)),x79092))+~P1(f319(f319(f227(a1),f2(a1)),x79094))+~P1(f319(f319(f227(a1),x79092),x79094)) % 219.27/219.54 [8850]P1(f319(f319(x88501,x88502),x88503))+~P1(f319(f319(x88501,f319(f319(f30(a1),x88504),x88505)),f39(a1,x88504,x88505)))+~P1(f319(f319(f227(a1),x88505),f2(a1)))+~P1(f319(f319(f226(a1),x88503),f2(a1)))+~E(x88504,f319(f319(f74(a1),f319(f319(f75(a1),x88505),x88502)),x88503))+~P1(f319(f319(f227(a1),x88505),x88503)) % 219.27/219.54 [8859]P1(f319(f319(x88591,x88592),x88593))+~P1(f319(f319(x88591,f319(f319(f30(a1),x88594),x88595)),f39(a1,x88594,x88595)))+~E(x88594,f319(f319(f74(a1),f319(f319(f75(a1),x88595),x88592)),x88593))+~P1(f319(f319(f226(a1),f2(a1)),x88593))+~P1(f319(f319(f227(a1),f2(a1)),x88595))+~P1(f319(f319(f227(a1),x88593),x88595)) % 219.27/219.54 [9122]E(x91221,x91222)+~P60(x91223,x91225,x91224)+~P1(f319(f319(f321(x91223),x91222),x91225))+~P1(f319(f319(f321(x91223),x91221),x91225))+P1(f319(f319(f321(f931(x91223,x91223)),f319(f319(f244(x91223,x91223),x91221),x91222)),x91224))+P1(f319(f319(f321(f931(x91223,x91223)),f319(f319(f244(x91223,x91223),x91222),x91221)),x91224)) % 219.27/219.54 [9954]~P113(x99541)+~P113(x99542)+~P41(x99542,x99541,x99543)+~P1(f319(f319(f226(x99542),x99545),f806(x99544,x99543,x99542,x99541,x99545)))+E(f230(x99541,f319(f319(f7(x99541,f932(x99541,a923),a923),f321(x99541)),f319(f302(x99542,x99541,x99543),x99544))),f319(x99543,f230(x99542,f319(f319(f7(x99542,f932(x99542,a923),a923),f321(x99542)),x99544))))+~P1(f319(f319(f321(x99542),x99545),x99544)) % 219.27/219.54 [10013]~P79(x100135)+~P91(x100135)+~P1(f319(f55(x100131),x100134))+P1(f319(f319(f226(x100135),f319(f319(f6(x100131,x100135),x100132),x100133)),f319(f319(f6(x100131,x100135),x100132),x100134)))+~P1(f319(f319(f226(f932(x100131,a923)),x100133),x100134))+P1(f319(f319(f321(x100131),f410(x100132,x100133,x100134,x100131,x100135)),f319(f319(f23(f932(x100131,a923)),x100134),x100133))) % 219.27/219.54 [10029]~P113(x100291)+~P113(x100292)+~P41(x100292,x100291,x100293)+E(f230(x100291,f319(f319(f7(x100291,f932(x100291,a923),a923),f321(x100291)),f319(f302(x100292,x100291,x100293),x100294))),f319(x100293,f230(x100292,f319(f319(f7(x100292,f932(x100292,a923),a923),f321(x100292)),x100294))))+~P1(f319(f319(f321(x100292),x100295),x100294))+P1(f319(f319(f321(x100292),f806(x100294,x100293,x100292,x100291,x100295)),x100294)) % 219.27/219.54 [10109]E(x101091,f180(f932(x101092,a923)))+~P1(f319(f55(x101092),x101093))+~P1(f319(f55(x101092),x101091))+P1(f319(f319(f321(f931(f932(x101092,a923),f932(x101092,a923))),f319(f319(f244(f932(x101092,a923),f932(x101092,a923)),x101093),x101091)),f311(x101092,x101094)))+~P1(f319(f319(f321(x101092),x101095),x101091))+~P1(f319(f319(f321(f931(x101092,x101092)),f319(f319(f244(x101092,x101092),f571(x101094,x101091,x101093,x101092)),x101095)),x101094)) % 219.27/219.54 [10110]E(x101101,f180(f932(x101102,a923)))+~P1(f319(f55(x101102),x101103))+~P1(f319(f55(x101102),x101101))+P1(f319(f319(f321(f931(f932(x101102,a923),f932(x101102,a923))),f319(f319(f244(f932(x101102,a923),f932(x101102,a923)),x101103),x101101)),f311(x101102,x101104)))+~P1(f319(f319(f321(x101102),x101105),x101101))+~P1(f319(f319(f321(f931(x101102,x101102)),f319(f319(f244(x101102,x101102),f618(x101104,x101101,x101103,x101102)),x101105)),x101104)) % 219.27/219.54 [10278]~P68(x102781)+~E(f319(f319(f6(x102785,x102781),x102782),x102786),x102784)+~P1(f319(f55(x102785),x102786))+P1(f319(f319(f321(x102785),f437(x102783,x102784,x102782,x102786,x102785,x102781)),x102786))+P1(f319(f319(f226(x102781),f319(x102782,x102783)),x102784))+~P1(f319(f319(f321(x102785),x102783),x102786)) % 219.27/219.54 [10327]~P68(x103271)+~E(f319(f319(f6(x103275,x103271),x103272),x103276),x103274)+~P1(f319(f55(x103275),x103276))+~P1(f319(f319(f321(x103275),x103273),x103276))+~P1(f319(f319(f226(x103271),f2(x103271)),f319(x103272,f437(x103273,x103274,x103272,x103276,x103275,x103271))))+P1(f319(f319(f226(x103271),f319(x103272,x103273)),x103274)) % 219.27/219.54 [10466]~E(x104665,x104668)+~E(x104664,x104667)+~P3(x104661)+~P79(x104662)+E(f319(f319(f6(x104661,x104662),x104663),f319(f294(x104661,x104664),x104665)),f319(f319(f6(x104661,x104662),x104666),f319(f294(x104661,x104667),x104668)))+P1(f319(f319(f226(x104661),x104664),f621(x104663,x104666,x104665,x104668,x104664,x104667,x104661,x104662))) % 219.27/219.54 [10482]~E(x104827,x104824)+~E(x104828,x104825)+~P3(x104821)+~P79(x104822)+~E(f319(x104823,f621(x104826,x104823,x104828,x104825,x104827,x104824,x104821,x104822)),f319(x104826,f621(x104826,x104823,x104828,x104825,x104827,x104824,x104821,x104822)))+E(f319(f319(f6(x104821,x104822),x104823),f319(f294(x104821,x104824),x104825)),f319(f319(f6(x104821,x104822),x104826),f319(f294(x104821,x104827),x104828))) % 219.27/219.54 [10487]~E(x104874,x104877)+~E(x104875,x104878)+~P3(x104871)+~P79(x104872)+E(f319(f319(f6(x104871,x104872),x104873),f319(f294(x104871,x104874),x104875)),f319(f319(f6(x104871,x104872),x104876),f319(f294(x104871,x104877),x104878)))+P1(f319(f319(f227(x104871),f621(x104873,x104876,x104875,x104878,x104874,x104877,x104871,x104872)),x104875)) % 219.27/219.54 [10116]~P9(x101165,x101169,x101166)+~P9(x101161,x1011610,x101163)+~P13(x101161,x101165,f932(x101162,a923),x101163,x101166,x101168)+~P1(f319(f319(f321(x101165),x101167),x101169))+~P1(f319(f319(f321(x101161),x101164),x1011610))+E(f319(f319(f33(x101161,f932(x101162,a923)),f319(f277(x101161,x101161,x101163),f319(f319(f301(x101161),x101164),f180(f932(x101161,a923))))),f319(f319(f8(f932(x101165,f932(x101162,a923)),f932(x101162,a923),x101161),f319(f33(x101165,f932(x101162,a923)),f319(f277(x101165,x101165,x101166),f319(f319(f301(x101165),x101167),f180(f932(x101165,a923)))))),x101168)),f319(f319(x101168,x101164),x101167)) % 219.27/219.54 [5801]~P4(x58013)+~P14(x58013,x58012)+~P14(x58013,x58011)+E(x58011,x58012)+~E(f319(f164(x58013),x58011),f319(f164(x58013),x58012))+~P1(f319(f129(x58013),x58012))+~P1(f319(f129(x58013),x58011)) % 219.27/219.54 [5133]~P133(x51332)+~P138(x51332)+~P150(x51332)+~P119(x51332)+~E(x51333,f2(x51332))+E(x51331,f2(a925))+E(f319(f319(f236(x51332),x51333),x51331),f2(x51332)) % 219.27/219.54 [9385]E(x93851,f2(a925))+~E(x93852,f319(f319(f74(a925),f319(f319(f75(a925),f319(f243(a925,a925),x93853)),x93851)),f319(f248(a925,a925),x93853)))+P1(f319(f42(x93852,x93851),x93853))+~P1(f319(f319(f226(a925),f319(f248(a925,a925),x93853)),f2(a925)))+~P1(f319(f319(f226(a925),f2(a925)),f319(f248(a925,a925),x93853)))+~P1(f319(f319(f227(a925),x93851),f319(f248(a925,a925),x93853)))+~P1(f319(f319(f227(a925),f319(f248(a925,a925),x93853)),x93851)) % 219.27/219.54 [9394]~E(f319(f243(a925,a925),x93943),f2(a925))+~E(x93941,f319(f319(f74(a925),f319(f319(f75(a925),f319(f243(a925,a925),x93943)),x93942)),f319(f248(a925,a925),x93943)))+P1(f319(f42(x93941,x93942),x93943))+~P1(f319(f319(f226(a925),f319(f248(a925,a925),x93943)),f2(a925)))+~P1(f319(f319(f226(a925),f2(a925)),f319(f248(a925,a925),x93943)))+~P1(f319(f319(f227(a925),x93942),f319(f248(a925,a925),x93943)))+~P1(f319(f319(f227(a925),f319(f248(a925,a925),x93943)),x93942)) % 219.27/219.54 [8221]~P76(x82212)+E(x82211,f180(f932(x82212,a923)))+E(x82213,f180(f932(x82212,a923)))+~P1(f319(f55(x82212),x82211))+~P1(f319(f55(x82212),x82213))+~E(f319(f319(f93(f932(x82212,a923)),x82213),x82211),f180(f932(x82212,a923)))+E(f319(f319(f75(x82212),f319(f57(x82212,f75(x82212)),x82213)),f319(f57(x82212,f75(x82212)),x82211)),f319(f57(x82212,f75(x82212)),f319(f319(f102(f932(x82212,a923)),x82213),x82211))) % 219.27/219.54 [8002]E(x80021,f2(a1))+E(f319(f319(f30(a1),x80022),x80021),x80023)+~P1(f319(f319(f226(a1),x80024),f2(a1)))+~E(x80022,f319(f319(f74(a1),f319(f319(f75(a1),x80021),x80023)),x80024))+~P1(f319(f319(f226(a1),f2(a1)),x80024))+~P1(f319(f319(f227(a1),x80024),x80021))+~P1(f319(f319(f227(a1),x80021),x80024)) % 219.27/219.54 [8010]E(f39(a1,x80102,x80101),x80103)+E(x80101,f2(a1))+~P1(f319(f319(f226(a1),x80103),f2(a1)))+~E(x80102,f319(f319(f74(a1),f319(f319(f75(a1),x80101),x80104)),x80103))+~P1(f319(f319(f226(a1),f2(a1)),x80103))+~P1(f319(f319(f227(a1),x80103),x80101))+~P1(f319(f319(f227(a1),x80101),x80103)) % 219.27/219.54 [7065]~P65(x70652)+E(x70651,f2(x70652))+E(x70653,f2(x70652))+~E(f319(f319(f30(x70652),x70654),x70653),f319(f319(f30(x70652),x70655),x70651))+E(f319(f319(f75(x70652),x70654),x70651),f319(f319(f75(x70652),x70653),x70655))+~P1(f319(f319(f279(x70652),x70651),x70655))+~P1(f319(f319(f279(x70652),x70653),x70654)) % 219.27/219.54 [7066]~P65(x70662)+E(x70661,f2(x70662))+E(x70663,f2(x70662))+~E(f319(f319(f75(x70662),x70664),x70663),f319(f319(f75(x70662),x70661),x70665))+E(f319(f319(f30(x70662),x70664),x70661),f319(f319(f30(x70662),x70665),x70663))+~P1(f319(f319(f279(x70662),x70661),x70664))+~P1(f319(f319(f279(x70662),x70663),x70665)) % 219.27/219.54 [7917]~P19(x79172,x79175,x79174)+E(x79171,f180(f932(x79172,a923)))+E(x79173,f180(f932(x79172,a923)))+~P1(f319(f55(x79172),x79171))+~P1(f319(f55(x79172),x79173))+~E(f319(f319(f93(f932(x79172,a923)),x79173),x79171),f180(f932(x79172,a923)))+E(f319(x79174,f319(f319(f102(f932(x79172,a923)),x79173),x79171)),f319(f319(x79175,f319(x79174,x79173)),f319(x79174,x79171))) % 219.27/219.54 [9635]~P26(x96353,x96351,x96355,x96354)+~P26(x96351,x96353,x96356,x96352)+E(f319(f29(x96351),x96352),f319(f29(x96353),x96354))+~P1(f319(f55(x96353),x96354))+~P1(f319(f55(x96351),x96352))+~P1(f319(f319(f226(f932(x96353,a923)),f319(f302(x96351,x96353,x96356),x96352)),x96354))+~P1(f319(f319(f226(f932(x96351,a923)),f319(f302(x96353,x96351,x96355),x96354)),x96352)) % 219.27/219.54 [9577]~P1(f319(f319(f227(a1),f319(f319(f74(a1),f319(f319(f75(a1),x95775),x95771)),x95776)),f2(a1)))+~E(f319(f319(f74(a1),f319(f319(f75(a1),x95773),x95772)),x95774),f319(f319(f74(a1),f319(f319(f75(a1),x95775),x95771)),x95776))+~P1(f319(f319(f226(a1),f2(a1)),x95776))+~P1(f319(f319(f227(a1),f2(a1)),x95775))+~P1(f319(f319(f226(a1),x95775),x95773))+~P1(f319(f319(f227(a1),x95774),x95773))+P1(f319(f319(f226(a1),x95771),x95772)) % 219.27/219.54 [9335]~E(f319(f319(f74(a1),f319(f319(f75(a1),x93353),x93351)),x93354),f319(f319(f74(a1),f319(f319(f75(a1),x93355),x93352)),x93356))+~P1(f319(f319(f226(a1),f2(a1)),x93354))+~P1(f319(f319(f227(a1),f2(a1)),x93355))+~P1(f319(f319(f226(a1),x93355),x93353))+~P1(f319(f319(f227(a1),x93356),x93355))+P1(f319(f319(f226(a1),x93351),x93352))+~P1(f319(f319(f226(a1),f2(a1)),f319(f319(f74(a1),f319(f319(f75(a1),x93355),x93352)),x93356))) % 219.27/219.54 [9516]~P136(x95161)+~E(f319(f319(f74(x95161),x95162),x95164),f72(x95161))+~P1(f319(f319(f226(x95161),x95165),x95166))+~P1(f319(f319(f226(x95161),x95163),x95166))+~P1(f319(f319(f226(x95161),f2(x95161)),x95164))+~P1(f319(f319(f226(x95161),f2(x95161)),x95162))+P1(f319(f319(f226(x95161),f319(f319(f74(x95161),f319(f319(f75(x95161),x95162),x95163)),f319(f319(f75(x95161),x95164),x95165))),x95166)) % 219.27/219.54 [9517]~P137(x95171)+~E(f319(f319(f74(x95171),x95172),x95174),f72(x95171))+~P1(f319(f319(f226(x95171),f2(x95171)),x95174))+~P1(f319(f319(f226(x95171),f2(x95171)),x95172))+~P1(f319(f319(f227(x95171),x95175),x95176))+~P1(f319(f319(f227(x95171),x95173),x95176))+P1(f319(f319(f227(x95171),f319(f319(f74(x95171),f319(f319(f75(x95171),x95172),x95173)),f319(f319(f75(x95171),x95174),x95175))),x95176)) % 219.27/219.54 [10375]~P9(x103757,x103756,x103755)+E(x103751,x103752)+~P12(x103757,f932(x103754,a923),x103755,x103753)+E(f319(x103753,f549(x103751,x103752,x103753,x103754,x103755,x103756,x103757)),f319(x103753,f547(x103751,x103752,x103753,x103754,x103755,x103756,x103757)))+~E(f319(f319(f33(x103757,f932(x103754,a923)),x103751),x103753),f319(f319(f33(x103757,f932(x103754,a923)),x103752),x103753))+~P1(f319(f319(f321(f932(x103757,a923)),x103752),f319(f319(f54(x103757),x103756),x103755)))+~P1(f319(f319(f321(f932(x103757,a923)),x103751),f319(f319(f54(x103757),x103756),x103755))) % 219.27/219.54 [10421]~P9(x104213,x104217,x104216)+E(x104211,x104212)+~P12(x104213,f932(x104215,a923),x104216,x104214)+~E(f319(f319(f33(x104213,f932(x104215,a923)),x104211),x104214),f319(f319(f33(x104213,f932(x104215,a923)),x104212),x104214))+P1(f319(f319(f321(x104213),f547(x104211,x104212,x104214,x104215,x104216,x104217,x104213)),x104217))+~P1(f319(f319(f321(f932(x104213,a923)),x104212),f319(f319(f54(x104213),x104217),x104216)))+~P1(f319(f319(f321(f932(x104213,a923)),x104211),f319(f319(f54(x104213),x104217),x104216))) % 219.27/219.54 [10422]~P9(x104223,x104227,x104226)+E(x104221,x104222)+~P12(x104223,f932(x104225,a923),x104226,x104224)+~E(f319(f319(f33(x104223,f932(x104225,a923)),x104221),x104224),f319(f319(f33(x104223,f932(x104225,a923)),x104222),x104224))+P1(f319(f319(f321(x104223),f549(x104221,x104222,x104224,x104225,x104226,x104227,x104223)),x104227))+~P1(f319(f319(f321(f932(x104223,a923)),x104222),f319(f319(f54(x104223),x104227),x104226)))+~P1(f319(f319(f321(f932(x104223,a923)),x104221),f319(f319(f54(x104223),x104227),x104226))) % 219.27/219.54 [10503]E(x105031,x105032)+~P9(x105033,x105036,x105037)+~P12(x105033,f932(x105034,a923),x105037,x105035)+~E(f319(f319(f33(x105033,f932(x105034,a923)),x105031),x105035),f319(f319(f33(x105033,f932(x105034,a923)),x105032),x105035))+~P1(f319(f319(f321(f931(x105033,x105033)),f319(f319(f244(x105033,x105033),f547(x105031,x105032,x105035,x105034,x105037,x105036,x105033)),f549(x105031,x105032,x105035,x105034,x105037,x105036,x105033))),x105037))+~P1(f319(f319(f321(f932(x105033,a923)),x105032),f319(f319(f54(x105033),x105036),x105037)))+~P1(f319(f319(f321(f932(x105033,a923)),x105031),f319(f319(f54(x105033),x105036),x105037))) % 219.27/219.54 [9334]~P9(x93341,x93347,x93344)+~E(x93345,x93346)+~P1(f319(f319(f321(x93341),x93343),x93346))+~P1(f319(f319(f321(x93341),x93342),x93345))+~P1(f319(f319(f321(f932(x93341,a923)),x93346),f319(f319(f54(x93341),x93347),x93344)))+~P1(f319(f319(f321(f932(x93341,a923)),x93345),f319(f319(f54(x93341),x93347),x93344)))+P1(f319(f319(f321(f931(x93341,x93341)),f319(f319(f244(x93341,x93341),x93342),x93343)),x93344)) % 219.27/219.54 [9473]E(x94731,x94732)+~P9(x94733,x94734,x94735)+~P1(f319(f319(f321(x94733),x94736),x94732))+~P1(f319(f319(f321(x94733),x94737),x94731))+~P1(f319(f319(f321(f932(x94733,a923)),x94732),f319(f319(f54(x94733),x94734),x94735)))+~P1(f319(f319(f321(f932(x94733,a923)),x94731),f319(f319(f54(x94733),x94734),x94735)))+~P1(f319(f319(f321(f931(x94733,x94733)),f319(f319(f244(x94733,x94733),x94737),x94736)),x94735)) % 219.27/219.54 [10531]~P9(x105319,x105318,x105317)+~P9(x105311,x1053111,x1053110)+~P13(x105311,x105319,f932(x105316,a923),x1053110,x105317,x105315)+P1(f319(f319(f321(x105311),f551(x105312,x105313,x105314,x105315,x105316,x105317,x105318,x105319,x1053110,x1053111,x105311)),x1053111))+~P1(f319(f319(f321(f932(x105319,a923)),x105313),f319(f319(f54(x105319),x105318),x105317)))+~P1(f319(f319(f321(f932(x105311,a923)),x105314),f319(f319(f54(x105311),x1053111),x1053110)))+P1(f319(f319(f321(f932(x105316,a923)),f319(f319(f33(x105311,f932(x105316,a923)),x105314),f319(f319(f8(f932(x105319,f932(x105316,a923)),f932(x105316,a923),x105311),f319(f33(x105319,f932(x105316,a923)),x105313)),x105315))),x105312)) % 219.27/219.54 [10532]~P9(x1053211,x1053210,x105329)+~P9(x105321,x105328,x105327)+~P13(x1053211,x105321,f932(x105326,a923),x105329,x105327,x105325)+P1(f319(f319(f321(x105321),f552(x105322,x105323,x105324,x105325,x105326,x105327,x105328,x105321,x105329,x1053210,x1053211)),x105328))+~P1(f319(f319(f321(f932(x1053211,a923)),x105324),f319(f319(f54(x1053211),x1053210),x105329)))+~P1(f319(f319(f321(f932(x105321,a923)),x105323),f319(f319(f54(x105321),x105328),x105327)))+P1(f319(f319(f321(f932(x105326,a923)),f319(f319(f33(x1053211,f932(x105326,a923)),x105324),f319(f319(f8(f932(x105321,f932(x105326,a923)),f932(x105326,a923),x1053211),f319(f33(x105321,f932(x105326,a923)),x105323)),x105325))),x105322)) % 219.27/219.54 [10533]~P9(x105332,x105338,x105339)+~P9(x105334,x1053310,x1053311)+~P13(x105332,x105334,f932(x105331,a923),x105339,x1053311,x105336)+~P1(f319(f319(f321(f932(x105332,a923)),x105333),f319(f319(f54(x105332),x105338),x105339)))+~P1(f319(f319(f321(f932(x105334,a923)),x105335),f319(f319(f54(x105334),x1053310),x1053311)))+~P1(f319(f319(f321(f932(x105331,a923)),f319(f319(x105336,f551(x105337,x105335,x105333,x105336,x105331,x1053311,x1053310,x105334,x105339,x105338,x105332)),f552(x105337,x105335,x105333,x105336,x105331,x1053311,x1053310,x105334,x105339,x105338,x105332))),x105337))+P1(f319(f319(f321(f932(x105331,a923)),f319(f319(f33(x105332,f932(x105331,a923)),x105333),f319(f319(f8(f932(x105334,f932(x105331,a923)),f932(x105331,a923),x105332),f319(f33(x105334,f932(x105331,a923)),x105335)),x105336))),x105337)) % 219.27/219.54 [9370]E(x93701,x93702)+~P4(x93704)+~P26(x93703,x93704,x93705,f319(f319(f102(f932(x93703,a923)),f319(f164(x93703),x93701)),f319(f164(x93703),x93702)))+~E(f319(f164(x93703),x93701),f319(f164(x93703),x93702))+~P14(x93704,f319(f319(f146(x93703,x93704),x93705),x93702))+~P14(x93704,f319(f319(f146(x93703,x93704),x93705),x93701))+~P1(f319(f129(x93704),f319(f319(f146(x93703,x93704),x93705),x93702)))+~P1(f319(f129(x93704),f319(f319(f146(x93703,x93704),x93705),x93701))) % 219.27/219.54 %EqnAxiom % 219.27/219.54 [1]E(x11,x11) % 219.27/219.54 [2]E(x22,x21)+~E(x21,x22) % 219.27/219.54 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 219.27/219.54 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 219.27/219.54 [5]~E(x51,x52)+E(f92(x51),f92(x52)) % 219.27/219.54 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 219.27/219.54 [7]~E(x71,x72)+E(f180(x71),f180(x72)) % 219.27/219.54 [8]~E(x81,x82)+E(f319(x81,x83),f319(x82,x83)) % 219.27/219.54 [9]~E(x91,x92)+E(f319(x93,x91),f319(x93,x92)) % 219.27/219.54 [10]~E(x101,x102)+E(f93(x101),f93(x102)) % 219.27/219.54 [11]~E(x111,x112)+E(f224(x111),f224(x112)) % 219.27/219.54 [12]~E(x121,x122)+E(f102(x121),f102(x122)) % 219.27/219.54 [13]~E(x131,x132)+E(f225(x131),f225(x132)) % 219.27/219.54 [14]~E(x141,x142)+E(f94(x141),f94(x142)) % 219.27/219.54 [15]~E(x151,x152)+E(f25(x151),f25(x152)) % 219.27/219.54 [16]~E(x161,x162)+E(f78(x161),f78(x162)) % 219.27/219.54 [17]~E(x171,x172)+E(f321(x171),f321(x172)) % 219.27/219.54 [18]~E(x181,x182)+E(f226(x181),f226(x182)) % 219.27/219.54 [19]~E(x191,x192)+E(f932(x191,x193),f932(x192,x193)) % 219.27/219.54 [20]~E(x201,x202)+E(f932(x203,x201),f932(x203,x202)) % 219.27/219.54 [21]~E(x211,x212)+E(f72(x211),f72(x212)) % 219.27/219.54 [22]~E(x221,x222)+E(f552(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f552(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212)) % 219.27/219.54 [23]~E(x231,x232)+E(f552(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f552(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312)) % 219.27/219.54 [24]~E(x241,x242)+E(f552(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f552(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 219.27/219.54 [25]~E(x251,x252)+E(f552(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f552(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512)) % 219.27/219.54 [26]~E(x261,x262)+E(f552(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f552(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612)) % 219.27/219.54 [27]~E(x271,x272)+E(f552(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f552(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712)) % 219.27/219.54 [28]~E(x281,x282)+E(f552(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f552(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812)) % 219.27/219.54 [29]~E(x291,x292)+E(f552(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f552(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912)) % 219.27/219.54 [30]~E(x301,x302)+E(f552(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f552(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012)) % 219.27/219.54 [31]~E(x311,x312)+E(f552(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f552(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112)) % 219.27/219.54 [32]~E(x321,x322)+E(f552(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f552(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322)) % 219.27/219.54 [33]~E(x331,x332)+E(f7(x331,x333,x334),f7(x332,x333,x334)) % 219.27/219.54 [34]~E(x341,x342)+E(f7(x343,x341,x344),f7(x343,x342,x344)) % 219.27/219.54 [35]~E(x351,x352)+E(f7(x353,x354,x351),f7(x353,x354,x352)) % 219.27/219.54 [36]~E(x361,x362)+E(f4(x361),f4(x362)) % 219.27/219.54 [37]~E(x371,x372)+E(f551(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f551(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 219.27/219.54 [38]~E(x381,x382)+E(f551(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f551(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 219.27/219.54 [39]~E(x391,x392)+E(f551(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f551(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 219.27/219.54 [40]~E(x401,x402)+E(f551(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f551(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012)) % 219.27/219.54 [41]~E(x411,x412)+E(f551(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f551(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112)) % 219.27/219.54 [42]~E(x421,x422)+E(f551(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f551(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212)) % 219.27/219.54 [43]~E(x431,x432)+E(f551(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f551(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312)) % 219.27/219.54 [44]~E(x441,x442)+E(f551(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f551(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412)) % 219.27/219.54 [45]~E(x451,x452)+E(f551(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f551(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512)) % 219.27/219.54 [46]~E(x461,x462)+E(f551(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f551(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612)) % 219.27/219.54 [47]~E(x471,x472)+E(f551(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f551(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472)) % 219.27/219.54 [48]~E(x481,x482)+E(f146(x481,x483),f146(x482,x483)) % 219.27/219.54 [49]~E(x491,x492)+E(f146(x493,x491),f146(x493,x492)) % 219.27/219.54 [50]~E(x501,x502)+E(f103(x501),f103(x502)) % 219.27/219.54 [51]~E(x511,x512)+E(f32(x511,x513),f32(x512,x513)) % 219.27/219.54 [52]~E(x521,x522)+E(f32(x523,x521),f32(x523,x522)) % 219.27/219.54 [53]~E(x531,x532)+E(f924(x531),f924(x532)) % 219.27/219.54 [54]~E(x541,x542)+E(f929(x541),f929(x542)) % 219.27/219.54 [55]~E(x551,x552)+E(f926(x551),f926(x552)) % 219.27/219.54 [56]~E(x561,x562)+E(f927(x561),f927(x562)) % 219.27/219.54 [57]~E(x571,x572)+E(f73(x571),f73(x572)) % 219.27/219.54 [58]~E(x581,x582)+E(f181(x581),f181(x582)) % 219.27/219.54 [59]~E(x591,x592)+E(f95(x591),f95(x592)) % 219.27/219.54 [60]~E(x601,x602)+E(f249(x601,x603,x604),f249(x602,x603,x604)) % 219.27/219.54 [61]~E(x611,x612)+E(f249(x613,x611,x614),f249(x613,x612,x614)) % 219.27/219.54 [62]~E(x621,x622)+E(f249(x623,x624,x621),f249(x623,x624,x622)) % 219.27/219.54 [63]~E(x631,x632)+E(f140(x631,x633,x634),f140(x632,x633,x634)) % 219.27/219.54 [64]~E(x641,x642)+E(f140(x643,x641,x644),f140(x643,x642,x644)) % 219.27/219.54 [65]~E(x651,x652)+E(f140(x653,x654,x651),f140(x653,x654,x652)) % 219.27/219.54 [66]~E(x661,x662)+E(f227(x661),f227(x662)) % 219.27/219.54 [67]~E(x671,x672)+E(f8(x671,x673,x674),f8(x672,x673,x674)) % 219.27/219.54 [68]~E(x681,x682)+E(f8(x683,x681,x684),f8(x683,x682,x684)) % 219.27/219.54 [69]~E(x691,x692)+E(f8(x693,x694,x691),f8(x693,x694,x692)) % 219.27/219.54 [70]~E(x701,x702)+E(f778(x701,x703,x704),f778(x702,x703,x704)) % 219.27/219.54 [71]~E(x711,x712)+E(f778(x713,x711,x714),f778(x713,x712,x714)) % 219.27/219.54 [72]~E(x721,x722)+E(f778(x723,x724,x721),f778(x723,x724,x722)) % 219.27/219.54 [73]~E(x731,x732)+E(f143(x731),f143(x732)) % 219.27/219.54 [74]~E(x741,x742)+E(f75(x741),f75(x742)) % 219.27/219.54 [75]~E(x751,x752)+E(f301(x751),f301(x752)) % 219.27/219.54 [76]~E(x761,x762)+E(f931(x761,x763),f931(x762,x763)) % 219.27/219.54 [77]~E(x771,x772)+E(f931(x773,x771),f931(x773,x772)) % 219.27/219.54 [78]~E(x781,x782)+E(f283(x781),f283(x782)) % 219.27/219.54 [79]~E(x791,x792)+E(f18(x791,x793,x794),f18(x792,x793,x794)) % 219.27/219.54 [80]~E(x801,x802)+E(f18(x803,x801,x804),f18(x803,x802,x804)) % 219.27/219.54 [81]~E(x811,x812)+E(f18(x813,x814,x811),f18(x813,x814,x812)) % 219.27/219.54 [82]~E(x821,x822)+E(f105(x821),f105(x822)) % 219.27/219.54 [83]~E(x831,x832)+E(f300(x831),f300(x832)) % 219.27/219.54 [84]~E(x841,x842)+E(f480(x841,x843),f480(x842,x843)) % 219.27/219.54 [85]~E(x851,x852)+E(f480(x853,x851),f480(x853,x852)) % 219.27/219.54 [86]~E(x861,x862)+E(f710(x861,x863,x864),f710(x862,x863,x864)) % 219.27/219.54 [87]~E(x871,x872)+E(f710(x873,x871,x874),f710(x873,x872,x874)) % 219.27/219.54 [88]~E(x881,x882)+E(f710(x883,x884,x881),f710(x883,x884,x882)) % 219.27/219.54 [89]~E(x891,x892)+E(f54(x891),f54(x892)) % 219.27/219.54 [90]~E(x901,x902)+E(f13(x901,x903),f13(x902,x903)) % 219.27/219.54 [91]~E(x911,x912)+E(f13(x913,x911),f13(x913,x912)) % 219.27/219.54 [92]~E(x921,x922)+E(f665(x921,x923,x924,x925),f665(x922,x923,x924,x925)) % 219.27/219.54 [93]~E(x931,x932)+E(f665(x933,x931,x934,x935),f665(x933,x932,x934,x935)) % 219.27/219.54 [94]~E(x941,x942)+E(f665(x943,x944,x941,x945),f665(x943,x944,x942,x945)) % 219.27/219.54 [95]~E(x951,x952)+E(f665(x953,x954,x955,x951),f665(x953,x954,x955,x952)) % 219.27/219.54 [96]~E(x961,x962)+E(f126(x961),f126(x962)) % 219.27/219.54 [97]~E(x971,x972)+E(f128(x971,x973),f128(x972,x973)) % 219.27/219.54 [98]~E(x981,x982)+E(f128(x983,x981),f128(x983,x982)) % 219.27/219.54 [99]~E(x991,x992)+E(f243(x991,x993),f243(x992,x993)) % 219.27/219.54 [100]~E(x1001,x1002)+E(f243(x1003,x1001),f243(x1003,x1002)) % 219.27/219.54 [101]~E(x1011,x1012)+E(f234(x1011),f234(x1012)) % 219.27/219.54 [102]~E(x1021,x1022)+E(f81(x1021),f81(x1022)) % 219.27/219.54 [103]~E(x1031,x1032)+E(f305(x1031,x1033,x1034,x1035),f305(x1032,x1033,x1034,x1035)) % 219.27/219.54 [104]~E(x1041,x1042)+E(f305(x1043,x1041,x1044,x1045),f305(x1043,x1042,x1044,x1045)) % 219.27/219.54 [105]~E(x1051,x1052)+E(f305(x1053,x1054,x1051,x1055),f305(x1053,x1054,x1052,x1055)) % 219.27/219.54 [106]~E(x1061,x1062)+E(f305(x1063,x1064,x1065,x1061),f305(x1063,x1064,x1065,x1062)) % 219.27/219.54 [107]~E(x1071,x1072)+E(f153(x1071,x1073),f153(x1072,x1073)) % 219.27/219.54 [108]~E(x1081,x1082)+E(f153(x1083,x1081),f153(x1083,x1082)) % 219.27/219.54 [109]~E(x1091,x1092)+E(f434(x1091,x1093,x1094),f434(x1092,x1093,x1094)) % 219.27/219.54 [110]~E(x1101,x1102)+E(f434(x1103,x1101,x1104),f434(x1103,x1102,x1104)) % 219.27/219.54 [111]~E(x1111,x1112)+E(f434(x1113,x1114,x1111),f434(x1113,x1114,x1112)) % 219.27/219.54 [112]~E(x1121,x1122)+E(f34(x1121,x1123),f34(x1122,x1123)) % 219.27/219.54 [113]~E(x1131,x1132)+E(f34(x1133,x1131),f34(x1133,x1132)) % 219.27/219.54 [114]~E(x1141,x1142)+E(f87(x1141,x1143),f87(x1142,x1143)) % 219.27/219.54 [115]~E(x1151,x1152)+E(f87(x1153,x1151),f87(x1153,x1152)) % 219.27/219.54 [116]~E(x1161,x1162)+E(f284(x1161,x1163),f284(x1162,x1163)) % 219.27/219.54 [117]~E(x1171,x1172)+E(f284(x1173,x1171),f284(x1173,x1172)) % 219.27/219.54 [118]~E(x1181,x1182)+E(f254(x1181),f254(x1182)) % 219.27/219.54 [119]~E(x1191,x1192)+E(f160(x1191),f160(x1192)) % 219.27/219.54 [120]~E(x1201,x1202)+E(f244(x1201,x1203),f244(x1202,x1203)) % 219.27/219.54 [121]~E(x1211,x1212)+E(f244(x1213,x1211),f244(x1213,x1212)) % 219.27/219.54 [122]~E(x1221,x1222)+E(f55(x1221),f55(x1222)) % 219.27/219.54 [123]~E(x1231,x1232)+E(f690(x1231,x1233,x1234,x1235),f690(x1232,x1233,x1234,x1235)) % 219.27/219.54 [124]~E(x1241,x1242)+E(f690(x1243,x1241,x1244,x1245),f690(x1243,x1242,x1244,x1245)) % 219.27/219.54 [125]~E(x1251,x1252)+E(f690(x1253,x1254,x1251,x1255),f690(x1253,x1254,x1252,x1255)) % 219.27/219.54 [126]~E(x1261,x1262)+E(f690(x1263,x1264,x1265,x1261),f690(x1263,x1264,x1265,x1262)) % 219.27/219.54 [127]~E(x1271,x1272)+E(f164(x1271),f164(x1272)) % 219.27/219.54 [128]~E(x1281,x1282)+E(f9(x1281,x1283),f9(x1282,x1283)) % 219.27/219.54 [129]~E(x1291,x1292)+E(f9(x1293,x1291),f9(x1293,x1292)) % 219.27/219.54 [130]~E(x1301,x1302)+E(f14(x1301,x1303),f14(x1302,x1303)) % 219.27/219.54 [131]~E(x1311,x1312)+E(f14(x1313,x1311),f14(x1313,x1312)) % 219.27/219.54 [132]~E(x1321,x1322)+E(f5(x1321),f5(x1322)) % 219.27/219.54 [133]~E(x1331,x1332)+E(f933(x1331,x1333),f933(x1332,x1333)) % 219.27/219.54 [134]~E(x1341,x1342)+E(f933(x1343,x1341),f933(x1343,x1342)) % 219.27/219.54 [135]~E(x1351,x1352)+E(f97(x1351),f97(x1352)) % 219.27/219.54 [136]~E(x1361,x1362)+E(f98(x1361),f98(x1362)) % 219.27/219.54 [137]~E(x1371,x1372)+E(f320(x1371),f320(x1372)) % 219.27/219.54 [138]~E(x1381,x1382)+E(f129(x1381),f129(x1382)) % 219.27/219.54 [139]~E(x1391,x1392)+E(f595(x1391),f595(x1392)) % 219.27/219.54 [140]~E(x1401,x1402)+E(f774(x1401,x1403,x1404),f774(x1402,x1403,x1404)) % 219.27/219.54 [141]~E(x1411,x1412)+E(f774(x1413,x1411,x1414),f774(x1413,x1412,x1414)) % 219.27/219.54 [142]~E(x1421,x1422)+E(f774(x1423,x1424,x1421),f774(x1423,x1424,x1422)) % 219.27/219.54 [143]~E(x1431,x1432)+E(f728(x1431,x1433),f728(x1432,x1433)) % 219.27/219.54 [144]~E(x1441,x1442)+E(f728(x1443,x1441),f728(x1443,x1442)) % 219.27/219.54 [145]~E(x1451,x1452)+E(f233(x1451,x1453),f233(x1452,x1453)) % 219.27/219.54 [146]~E(x1461,x1462)+E(f233(x1463,x1461),f233(x1463,x1462)) % 219.27/219.54 [147]~E(x1471,x1472)+E(f6(x1471,x1473),f6(x1472,x1473)) % 219.27/219.54 [148]~E(x1481,x1482)+E(f6(x1483,x1481),f6(x1483,x1482)) % 219.27/219.54 [149]~E(x1491,x1492)+E(f302(x1491,x1493,x1494),f302(x1492,x1493,x1494)) % 219.27/219.54 [150]~E(x1501,x1502)+E(f302(x1503,x1501,x1504),f302(x1503,x1502,x1504)) % 219.27/219.54 [151]~E(x1511,x1512)+E(f302(x1513,x1514,x1511),f302(x1513,x1514,x1512)) % 219.27/219.54 [152]~E(x1521,x1522)+E(f624(x1521,x1523,x1524,x1525,x1526),f624(x1522,x1523,x1524,x1525,x1526)) % 219.27/219.54 [153]~E(x1531,x1532)+E(f624(x1533,x1531,x1534,x1535,x1536),f624(x1533,x1532,x1534,x1535,x1536)) % 219.27/219.54 [154]~E(x1541,x1542)+E(f624(x1543,x1544,x1541,x1545,x1546),f624(x1543,x1544,x1542,x1545,x1546)) % 219.27/219.54 [155]~E(x1551,x1552)+E(f624(x1553,x1554,x1555,x1551,x1556),f624(x1553,x1554,x1555,x1552,x1556)) % 219.27/219.54 [156]~E(x1561,x1562)+E(f624(x1563,x1564,x1565,x1566,x1561),f624(x1563,x1564,x1565,x1566,x1562)) % 219.27/219.54 [157]~E(x1571,x1572)+E(f167(x1571),f167(x1572)) % 219.27/219.54 [158]~E(x1581,x1582)+E(f69(x1581),f69(x1582)) % 219.27/219.54 [159]~E(x1591,x1592)+E(f490(x1591,x1593),f490(x1592,x1593)) % 219.27/219.54 [160]~E(x1601,x1602)+E(f490(x1603,x1601),f490(x1603,x1602)) % 219.27/219.54 [161]~E(x1611,x1612)+E(f295(x1611,x1613,x1614),f295(x1612,x1613,x1614)) % 219.27/219.54 [162]~E(x1621,x1622)+E(f295(x1623,x1621,x1624),f295(x1623,x1622,x1624)) % 219.27/219.54 [163]~E(x1631,x1632)+E(f295(x1633,x1634,x1631),f295(x1633,x1634,x1632)) % 219.27/219.54 [164]~E(x1641,x1642)+E(f544(x1641,x1643,x1644),f544(x1642,x1643,x1644)) % 219.27/219.54 [165]~E(x1651,x1652)+E(f544(x1653,x1651,x1654),f544(x1653,x1652,x1654)) % 219.27/219.54 [166]~E(x1661,x1662)+E(f544(x1663,x1664,x1661),f544(x1663,x1664,x1662)) % 219.27/219.54 [167]~E(x1671,x1672)+E(f88(x1671,x1673),f88(x1672,x1673)) % 219.27/219.54 [168]~E(x1681,x1682)+E(f88(x1683,x1681),f88(x1683,x1682)) % 219.27/219.54 [169]~E(x1691,x1692)+E(f236(x1691),f236(x1692)) % 219.27/219.54 [170]~E(x1701,x1702)+E(f74(x1701),f74(x1702)) % 219.27/219.54 [171]~E(x1711,x1712)+E(f297(x1711,x1713,x1714),f297(x1712,x1713,x1714)) % 219.27/219.54 [172]~E(x1721,x1722)+E(f297(x1723,x1721,x1724),f297(x1723,x1722,x1724)) % 219.27/219.54 [173]~E(x1731,x1732)+E(f297(x1733,x1734,x1731),f297(x1733,x1734,x1732)) % 219.27/219.54 [174]~E(x1741,x1742)+E(f39(x1741,x1743,x1744),f39(x1742,x1743,x1744)) % 219.27/219.54 [175]~E(x1751,x1752)+E(f39(x1753,x1751,x1754),f39(x1753,x1752,x1754)) % 219.27/219.54 [176]~E(x1761,x1762)+E(f39(x1763,x1764,x1761),f39(x1763,x1764,x1762)) % 219.27/219.54 [177]~E(x1771,x1772)+E(f277(x1771,x1773,x1774),f277(x1772,x1773,x1774)) % 219.27/219.54 [178]~E(x1781,x1782)+E(f277(x1783,x1781,x1784),f277(x1783,x1782,x1784)) % 219.27/219.54 [179]~E(x1791,x1792)+E(f277(x1793,x1794,x1791),f277(x1793,x1794,x1792)) % 219.27/219.54 [180]~E(x1801,x1802)+E(f248(x1801,x1803),f248(x1802,x1803)) % 219.27/219.54 [181]~E(x1811,x1812)+E(f248(x1813,x1811),f248(x1813,x1812)) % 219.27/219.54 [182]~E(x1821,x1822)+E(f679(x1821,x1823,x1824),f679(x1822,x1823,x1824)) % 219.27/219.54 [183]~E(x1831,x1832)+E(f679(x1833,x1831,x1834),f679(x1833,x1832,x1834)) % 219.27/219.54 [184]~E(x1841,x1842)+E(f679(x1843,x1844,x1841),f679(x1843,x1844,x1842)) % 219.27/219.54 [185]~E(x1851,x1852)+E(f173(x1851,x1853),f173(x1852,x1853)) % 219.27/219.54 [186]~E(x1861,x1862)+E(f173(x1863,x1861),f173(x1863,x1862)) % 219.27/219.54 [187]~E(x1871,x1872)+E(f150(x1871,x1873),f150(x1872,x1873)) % 219.27/219.54 [188]~E(x1881,x1882)+E(f150(x1883,x1881),f150(x1883,x1882)) % 219.27/219.54 [189]~E(x1891,x1892)+E(f29(x1891),f29(x1892)) % 219.27/219.54 [190]~E(x1901,x1902)+E(f563(x1901,x1903,x1904,x1905),f563(x1902,x1903,x1904,x1905)) % 219.27/219.54 [191]~E(x1911,x1912)+E(f563(x1913,x1911,x1914,x1915),f563(x1913,x1912,x1914,x1915)) % 219.27/219.54 [192]~E(x1921,x1922)+E(f563(x1923,x1924,x1921,x1925),f563(x1923,x1924,x1922,x1925)) % 219.27/219.54 [193]~E(x1931,x1932)+E(f563(x1933,x1934,x1935,x1931),f563(x1933,x1934,x1935,x1932)) % 219.27/219.54 [194]~E(x1941,x1942)+E(f431(x1941),f431(x1942)) % 219.27/219.54 [195]~E(x1951,x1952)+E(f250(x1951,x1953,x1954,x1955,x1956,x1957),f250(x1952,x1953,x1954,x1955,x1956,x1957)) % 219.27/219.54 [196]~E(x1961,x1962)+E(f250(x1963,x1961,x1964,x1965,x1966,x1967),f250(x1963,x1962,x1964,x1965,x1966,x1967)) % 219.27/219.54 [197]~E(x1971,x1972)+E(f250(x1973,x1974,x1971,x1975,x1976,x1977),f250(x1973,x1974,x1972,x1975,x1976,x1977)) % 219.27/219.54 [198]~E(x1981,x1982)+E(f250(x1983,x1984,x1985,x1981,x1986,x1987),f250(x1983,x1984,x1985,x1982,x1986,x1987)) % 219.27/219.54 [199]~E(x1991,x1992)+E(f250(x1993,x1994,x1995,x1996,x1991,x1997),f250(x1993,x1994,x1995,x1996,x1992,x1997)) % 219.27/219.54 [200]~E(x2001,x2002)+E(f250(x2003,x2004,x2005,x2006,x2007,x2001),f250(x2003,x2004,x2005,x2006,x2007,x2002)) % 219.27/219.54 [201]~E(x2011,x2012)+E(f303(x2011,x2013,x2014),f303(x2012,x2013,x2014)) % 219.27/219.54 [202]~E(x2021,x2022)+E(f303(x2023,x2021,x2024),f303(x2023,x2022,x2024)) % 219.27/219.54 [203]~E(x2031,x2032)+E(f303(x2033,x2034,x2031),f303(x2033,x2034,x2032)) % 219.27/219.54 [204]~E(x2041,x2042)+E(f471(x2041,x2043,x2044),f471(x2042,x2043,x2044)) % 219.27/219.54 [205]~E(x2051,x2052)+E(f471(x2053,x2051,x2054),f471(x2053,x2052,x2054)) % 219.27/219.54 [206]~E(x2061,x2062)+E(f471(x2063,x2064,x2061),f471(x2063,x2064,x2062)) % 219.27/219.54 [207]~E(x2071,x2072)+E(f294(x2071,x2073),f294(x2072,x2073)) % 219.27/219.54 [208]~E(x2081,x2082)+E(f294(x2083,x2081),f294(x2083,x2082)) % 219.27/219.54 [209]~E(x2091,x2092)+E(f749(x2091,x2093,x2094,x2095),f749(x2092,x2093,x2094,x2095)) % 219.27/219.54 [210]~E(x2101,x2102)+E(f749(x2103,x2101,x2104,x2105),f749(x2103,x2102,x2104,x2105)) % 219.27/219.54 [211]~E(x2111,x2112)+E(f749(x2113,x2114,x2111,x2115),f749(x2113,x2114,x2112,x2115)) % 219.27/219.54 [212]~E(x2121,x2122)+E(f749(x2123,x2124,x2125,x2121),f749(x2123,x2124,x2125,x2122)) % 219.27/219.54 [213]~E(x2131,x2132)+E(f58(x2131,x2133,x2134),f58(x2132,x2133,x2134)) % 219.27/219.54 [214]~E(x2141,x2142)+E(f58(x2143,x2141,x2144),f58(x2143,x2142,x2144)) % 219.27/219.54 [215]~E(x2151,x2152)+E(f58(x2153,x2154,x2151),f58(x2153,x2154,x2152)) % 219.27/219.54 [216]~E(x2161,x2162)+E(f722(x2161,x2163,x2164,x2165,x2166),f722(x2162,x2163,x2164,x2165,x2166)) % 219.27/219.54 [217]~E(x2171,x2172)+E(f722(x2173,x2171,x2174,x2175,x2176),f722(x2173,x2172,x2174,x2175,x2176)) % 219.27/219.54 [218]~E(x2181,x2182)+E(f722(x2183,x2184,x2181,x2185,x2186),f722(x2183,x2184,x2182,x2185,x2186)) % 219.27/219.54 [219]~E(x2191,x2192)+E(f722(x2193,x2194,x2195,x2191,x2196),f722(x2193,x2194,x2195,x2192,x2196)) % 219.27/219.54 [220]~E(x2201,x2202)+E(f722(x2203,x2204,x2205,x2206,x2201),f722(x2203,x2204,x2205,x2206,x2202)) % 219.27/219.54 [221]~E(x2211,x2212)+E(f137(x2211,x2213),f137(x2212,x2213)) % 219.27/219.54 [222]~E(x2221,x2222)+E(f137(x2223,x2221),f137(x2223,x2222)) % 219.27/219.54 [223]~E(x2231,x2232)+E(f33(x2231,x2233),f33(x2232,x2233)) % 219.27/219.54 [224]~E(x2241,x2242)+E(f33(x2243,x2241),f33(x2243,x2242)) % 219.27/219.54 [225]~E(x2251,x2252)+E(f49(x2251,x2253,x2254),f49(x2252,x2253,x2254)) % 219.27/219.54 [226]~E(x2261,x2262)+E(f49(x2263,x2261,x2264),f49(x2263,x2262,x2264)) % 219.27/219.54 [227]~E(x2271,x2272)+E(f49(x2273,x2274,x2271),f49(x2273,x2274,x2272)) % 219.27/219.54 [228]~E(x2281,x2282)+E(f695(x2281,x2283,x2284),f695(x2282,x2283,x2284)) % 219.27/219.54 [229]~E(x2291,x2292)+E(f695(x2293,x2291,x2294),f695(x2293,x2292,x2294)) % 219.27/219.54 [230]~E(x2301,x2302)+E(f695(x2303,x2304,x2301),f695(x2303,x2304,x2302)) % 219.27/219.54 [231]~E(x2311,x2312)+E(f136(x2311,x2313),f136(x2312,x2313)) % 219.27/219.54 [232]~E(x2321,x2322)+E(f136(x2323,x2321),f136(x2323,x2322)) % 219.27/219.54 [233]~E(x2331,x2332)+E(f68(x2331,x2333,x2334,x2335,x2336),f68(x2332,x2333,x2334,x2335,x2336)) % 219.27/219.54 [234]~E(x2341,x2342)+E(f68(x2343,x2341,x2344,x2345,x2346),f68(x2343,x2342,x2344,x2345,x2346)) % 219.27/219.54 [235]~E(x2351,x2352)+E(f68(x2353,x2354,x2351,x2355,x2356),f68(x2353,x2354,x2352,x2355,x2356)) % 219.27/219.54 [236]~E(x2361,x2362)+E(f68(x2363,x2364,x2365,x2361,x2366),f68(x2363,x2364,x2365,x2362,x2366)) % 219.27/219.54 [237]~E(x2371,x2372)+E(f68(x2373,x2374,x2375,x2376,x2371),f68(x2373,x2374,x2375,x2376,x2372)) % 219.27/219.54 [238]~E(x2381,x2382)+E(f846(x2381,x2383,x2384,x2385),f846(x2382,x2383,x2384,x2385)) % 219.27/219.54 [239]~E(x2391,x2392)+E(f846(x2393,x2391,x2394,x2395),f846(x2393,x2392,x2394,x2395)) % 219.27/219.54 [240]~E(x2401,x2402)+E(f846(x2403,x2404,x2401,x2405),f846(x2403,x2404,x2402,x2405)) % 219.27/219.54 [241]~E(x2411,x2412)+E(f846(x2413,x2414,x2415,x2411),f846(x2413,x2414,x2415,x2412)) % 219.27/219.54 [242]~E(x2421,x2422)+E(f485(x2421,x2423,x2424),f485(x2422,x2423,x2424)) % 219.27/219.54 [243]~E(x2431,x2432)+E(f485(x2433,x2431,x2434),f485(x2433,x2432,x2434)) % 219.27/219.54 [244]~E(x2441,x2442)+E(f485(x2443,x2444,x2441),f485(x2443,x2444,x2442)) % 219.27/219.54 [245]~E(x2451,x2452)+E(f281(x2451,x2453,x2454),f281(x2452,x2453,x2454)) % 219.27/219.54 [246]~E(x2461,x2462)+E(f281(x2463,x2461,x2464),f281(x2463,x2462,x2464)) % 219.27/219.54 [247]~E(x2471,x2472)+E(f281(x2473,x2474,x2471),f281(x2473,x2474,x2472)) % 219.27/219.54 [248]~E(x2481,x2482)+E(f131(x2481,x2483),f131(x2482,x2483)) % 219.27/219.54 [249]~E(x2491,x2492)+E(f131(x2493,x2491),f131(x2493,x2492)) % 219.27/219.54 [250]~E(x2501,x2502)+E(f656(x2501,x2503,x2504),f656(x2502,x2503,x2504)) % 219.27/219.54 [251]~E(x2511,x2512)+E(f656(x2513,x2511,x2514),f656(x2513,x2512,x2514)) % 219.27/219.54 [252]~E(x2521,x2522)+E(f656(x2523,x2524,x2521),f656(x2523,x2524,x2522)) % 219.27/219.54 [253]~E(x2531,x2532)+E(f12(x2531,x2533,x2534),f12(x2532,x2533,x2534)) % 219.27/219.54 [254]~E(x2541,x2542)+E(f12(x2543,x2541,x2544),f12(x2543,x2542,x2544)) % 219.27/219.54 [255]~E(x2551,x2552)+E(f12(x2553,x2554,x2551),f12(x2553,x2554,x2552)) % 219.27/219.54 [256]~E(x2561,x2562)+E(f66(x2561,x2563,x2564,x2565),f66(x2562,x2563,x2564,x2565)) % 219.27/219.54 [257]~E(x2571,x2572)+E(f66(x2573,x2571,x2574,x2575),f66(x2573,x2572,x2574,x2575)) % 219.27/219.54 [258]~E(x2581,x2582)+E(f66(x2583,x2584,x2581,x2585),f66(x2583,x2584,x2582,x2585)) % 219.27/219.54 [259]~E(x2591,x2592)+E(f66(x2593,x2594,x2595,x2591),f66(x2593,x2594,x2595,x2592)) % 219.27/219.54 [260]~E(x2601,x2602)+E(f106(x2601,x2603),f106(x2602,x2603)) % 219.27/219.54 [261]~E(x2611,x2612)+E(f106(x2613,x2611),f106(x2613,x2612)) % 219.27/219.54 [262]~E(x2621,x2622)+E(f298(x2621,x2623,x2624),f298(x2622,x2623,x2624)) % 219.27/219.54 [263]~E(x2631,x2632)+E(f298(x2633,x2631,x2634),f298(x2633,x2632,x2634)) % 219.27/219.54 [264]~E(x2641,x2642)+E(f298(x2643,x2644,x2641),f298(x2643,x2644,x2642)) % 219.27/219.54 [265]~E(x2651,x2652)+E(f134(x2651,x2653,x2654,x2655),f134(x2652,x2653,x2654,x2655)) % 219.27/219.54 [266]~E(x2661,x2662)+E(f134(x2663,x2661,x2664,x2665),f134(x2663,x2662,x2664,x2665)) % 219.27/219.54 [267]~E(x2671,x2672)+E(f134(x2673,x2674,x2671,x2675),f134(x2673,x2674,x2672,x2675)) % 219.27/219.54 [268]~E(x2681,x2682)+E(f134(x2683,x2684,x2685,x2681),f134(x2683,x2684,x2685,x2682)) % 219.27/219.54 [269]~E(x2691,x2692)+E(f144(x2691,x2693),f144(x2692,x2693)) % 219.27/219.54 [270]~E(x2701,x2702)+E(f144(x2703,x2701),f144(x2703,x2702)) % 219.27/219.54 [271]~E(x2711,x2712)+E(f30(x2711),f30(x2712)) % 219.27/219.54 [272]~E(x2721,x2722)+E(f183(x2721),f183(x2722)) % 219.27/219.54 [273]~E(x2731,x2732)+E(f576(x2731,x2733),f576(x2732,x2733)) % 219.27/219.54 [274]~E(x2741,x2742)+E(f576(x2743,x2741),f576(x2743,x2742)) % 219.27/219.54 [275]~E(x2751,x2752)+E(f107(x2751),f107(x2752)) % 219.27/219.54 [276]~E(x2761,x2762)+E(f124(x2761,x2763),f124(x2762,x2763)) % 219.27/219.54 [277]~E(x2771,x2772)+E(f124(x2773,x2771),f124(x2773,x2772)) % 219.27/219.54 [278]~E(x2781,x2782)+E(f869(x2781,x2783,x2784),f869(x2782,x2783,x2784)) % 219.27/219.54 [279]~E(x2791,x2792)+E(f869(x2793,x2791,x2794),f869(x2793,x2792,x2794)) % 219.27/219.54 [280]~E(x2801,x2802)+E(f869(x2803,x2804,x2801),f869(x2803,x2804,x2802)) % 219.27/219.54 [281]~E(x2811,x2812)+E(f930(x2811,x2813),f930(x2812,x2813)) % 219.27/219.54 [282]~E(x2821,x2822)+E(f930(x2823,x2821),f930(x2823,x2822)) % 219.27/219.54 [283]~E(x2831,x2832)+E(f159(x2831),f159(x2832)) % 219.27/219.54 [284]~E(x2841,x2842)+E(f649(x2841,x2843,x2844,x2845),f649(x2842,x2843,x2844,x2845)) % 219.27/219.54 [285]~E(x2851,x2852)+E(f649(x2853,x2851,x2854,x2855),f649(x2853,x2852,x2854,x2855)) % 219.27/219.54 [286]~E(x2861,x2862)+E(f649(x2863,x2864,x2861,x2865),f649(x2863,x2864,x2862,x2865)) % 219.27/219.54 [287]~E(x2871,x2872)+E(f649(x2873,x2874,x2875,x2871),f649(x2873,x2874,x2875,x2872)) % 219.27/219.54 [288]~E(x2881,x2882)+E(f31(x2881,x2883),f31(x2882,x2883)) % 219.27/219.54 [289]~E(x2891,x2892)+E(f31(x2893,x2891),f31(x2893,x2892)) % 219.27/219.54 [290]~E(x2901,x2902)+E(f487(x2901,x2903,x2904),f487(x2902,x2903,x2904)) % 219.27/219.54 [291]~E(x2911,x2912)+E(f487(x2913,x2911,x2914),f487(x2913,x2912,x2914)) % 219.27/219.54 [292]~E(x2921,x2922)+E(f487(x2923,x2924,x2921),f487(x2923,x2924,x2922)) % 219.27/219.54 [293]~E(x2931,x2932)+E(f163(x2931),f163(x2932)) % 219.27/219.54 [294]~E(x2941,x2942)+E(f366(x2941,x2943),f366(x2942,x2943)) % 219.27/219.54 [295]~E(x2951,x2952)+E(f366(x2953,x2951),f366(x2953,x2952)) % 219.27/219.54 [296]~E(x2961,x2962)+E(f443(x2961,x2963,x2964),f443(x2962,x2963,x2964)) % 219.27/219.54 [297]~E(x2971,x2972)+E(f443(x2973,x2971,x2974),f443(x2973,x2972,x2974)) % 219.27/219.54 [298]~E(x2981,x2982)+E(f443(x2983,x2984,x2981),f443(x2983,x2984,x2982)) % 219.27/219.54 [299]~E(x2991,x2992)+E(f299(x2991,x2993),f299(x2992,x2993)) % 219.27/219.54 [300]~E(x3001,x3002)+E(f299(x3003,x3001),f299(x3003,x3002)) % 219.27/219.54 [301]~E(x3011,x3012)+E(f42(x3011,x3013),f42(x3012,x3013)) % 219.27/219.54 [302]~E(x3021,x3022)+E(f42(x3023,x3021),f42(x3023,x3022)) % 219.27/219.54 [303]~E(x3031,x3032)+E(f332(x3031,x3033),f332(x3032,x3033)) % 219.27/219.54 [304]~E(x3041,x3042)+E(f332(x3043,x3041),f332(x3043,x3042)) % 219.27/219.54 [305]~E(x3051,x3052)+E(f123(x3051,x3053,x3054,x3055),f123(x3052,x3053,x3054,x3055)) % 219.27/219.54 [306]~E(x3061,x3062)+E(f123(x3063,x3061,x3064,x3065),f123(x3063,x3062,x3064,x3065)) % 219.27/219.54 [307]~E(x3071,x3072)+E(f123(x3073,x3074,x3071,x3075),f123(x3073,x3074,x3072,x3075)) % 219.27/219.54 [308]~E(x3081,x3082)+E(f123(x3083,x3084,x3085,x3081),f123(x3083,x3084,x3085,x3082)) % 219.27/219.54 [309]~E(x3091,x3092)+E(f169(x3091,x3093,x3094),f169(x3092,x3093,x3094)) % 219.27/219.54 [310]~E(x3101,x3102)+E(f169(x3103,x3101,x3104),f169(x3103,x3102,x3104)) % 219.27/219.54 [311]~E(x3111,x3112)+E(f169(x3113,x3114,x3111),f169(x3113,x3114,x3112)) % 219.27/219.54 [312]~E(x3121,x3122)+E(f130(x3121),f130(x3122)) % 219.27/219.54 [313]~E(x3131,x3132)+E(f907(x3131,x3133,x3134,x3135,x3136,x3137),f907(x3132,x3133,x3134,x3135,x3136,x3137)) % 219.27/219.54 [314]~E(x3141,x3142)+E(f907(x3143,x3141,x3144,x3145,x3146,x3147),f907(x3143,x3142,x3144,x3145,x3146,x3147)) % 219.27/219.54 [315]~E(x3151,x3152)+E(f907(x3153,x3154,x3151,x3155,x3156,x3157),f907(x3153,x3154,x3152,x3155,x3156,x3157)) % 219.27/219.54 [316]~E(x3161,x3162)+E(f907(x3163,x3164,x3165,x3161,x3166,x3167),f907(x3163,x3164,x3165,x3162,x3166,x3167)) % 219.27/219.54 [317]~E(x3171,x3172)+E(f907(x3173,x3174,x3175,x3176,x3171,x3177),f907(x3173,x3174,x3175,x3176,x3172,x3177)) % 219.27/219.54 [318]~E(x3181,x3182)+E(f907(x3183,x3184,x3185,x3186,x3187,x3181),f907(x3183,x3184,x3185,x3186,x3187,x3182)) % 219.27/219.54 [319]~E(x3191,x3192)+E(f274(x3191),f274(x3192)) % 219.27/219.54 [320]~E(x3201,x3202)+E(f854(x3201,x3203,x3204,x3205,x3206,x3207,x3208,x3209),f854(x3202,x3203,x3204,x3205,x3206,x3207,x3208,x3209)) % 219.27/219.54 [321]~E(x3211,x3212)+E(f854(x3213,x3211,x3214,x3215,x3216,x3217,x3218,x3219),f854(x3213,x3212,x3214,x3215,x3216,x3217,x3218,x3219)) % 219.27/219.54 [322]~E(x3221,x3222)+E(f854(x3223,x3224,x3221,x3225,x3226,x3227,x3228,x3229),f854(x3223,x3224,x3222,x3225,x3226,x3227,x3228,x3229)) % 219.27/219.54 [323]~E(x3231,x3232)+E(f854(x3233,x3234,x3235,x3231,x3236,x3237,x3238,x3239),f854(x3233,x3234,x3235,x3232,x3236,x3237,x3238,x3239)) % 219.27/219.54 [324]~E(x3241,x3242)+E(f854(x3243,x3244,x3245,x3246,x3241,x3247,x3248,x3249),f854(x3243,x3244,x3245,x3246,x3242,x3247,x3248,x3249)) % 219.27/219.54 [325]~E(x3251,x3252)+E(f854(x3253,x3254,x3255,x3256,x3257,x3251,x3258,x3259),f854(x3253,x3254,x3255,x3256,x3257,x3252,x3258,x3259)) % 219.27/219.54 [326]~E(x3261,x3262)+E(f854(x3263,x3264,x3265,x3266,x3267,x3268,x3261,x3269),f854(x3263,x3264,x3265,x3266,x3267,x3268,x3262,x3269)) % 219.27/219.54 [327]~E(x3271,x3272)+E(f854(x3273,x3274,x3275,x3276,x3277,x3278,x3279,x3271),f854(x3273,x3274,x3275,x3276,x3277,x3278,x3279,x3272)) % 219.27/219.54 [328]~E(x3281,x3282)+E(f208(x3281,x3283),f208(x3282,x3283)) % 219.27/219.54 [329]~E(x3291,x3292)+E(f208(x3293,x3291),f208(x3293,x3292)) % 219.27/219.54 [330]~E(x3301,x3302)+E(f310(x3301,x3303),f310(x3302,x3303)) % 219.27/219.54 [331]~E(x3311,x3312)+E(f310(x3313,x3311),f310(x3313,x3312)) % 219.27/219.54 [332]~E(x3321,x3322)+E(f246(x3321,x3323),f246(x3322,x3323)) % 219.27/219.54 [333]~E(x3331,x3332)+E(f246(x3333,x3331),f246(x3333,x3332)) % 219.27/219.54 [334]~E(x3341,x3342)+E(f311(x3341,x3343),f311(x3342,x3343)) % 219.27/219.54 [335]~E(x3351,x3352)+E(f311(x3353,x3351),f311(x3353,x3352)) % 219.27/219.54 [336]~E(x3361,x3362)+E(f584(x3361,x3363,x3364,x3365,x3366),f584(x3362,x3363,x3364,x3365,x3366)) % 219.27/219.54 [337]~E(x3371,x3372)+E(f584(x3373,x3371,x3374,x3375,x3376),f584(x3373,x3372,x3374,x3375,x3376)) % 219.27/219.54 [338]~E(x3381,x3382)+E(f584(x3383,x3384,x3381,x3385,x3386),f584(x3383,x3384,x3382,x3385,x3386)) % 219.27/219.54 [339]~E(x3391,x3392)+E(f584(x3393,x3394,x3395,x3391,x3396),f584(x3393,x3394,x3395,x3392,x3396)) % 219.27/219.54 [340]~E(x3401,x3402)+E(f584(x3403,x3404,x3405,x3406,x3401),f584(x3403,x3404,x3405,x3406,x3402)) % 219.27/219.54 [341]~E(x3411,x3412)+E(f161(x3411,x3413,x3414),f161(x3412,x3413,x3414)) % 219.27/219.54 [342]~E(x3421,x3422)+E(f161(x3423,x3421,x3424),f161(x3423,x3422,x3424)) % 219.27/219.54 [343]~E(x3431,x3432)+E(f161(x3433,x3434,x3431),f161(x3433,x3434,x3432)) % 219.27/219.54 [344]~E(x3441,x3442)+E(f170(x3441,x3443),f170(x3442,x3443)) % 219.27/219.54 [345]~E(x3451,x3452)+E(f170(x3453,x3451),f170(x3453,x3452)) % 219.27/219.54 [346]~E(x3461,x3462)+E(f279(x3461),f279(x3462)) % 219.27/219.54 [347]~E(x3471,x3472)+E(f10(x3471,x3473),f10(x3472,x3473)) % 219.27/219.54 [348]~E(x3481,x3482)+E(f10(x3483,x3481),f10(x3483,x3482)) % 219.27/219.54 [349]~E(x3491,x3492)+E(f261(x3491,x3493),f261(x3492,x3493)) % 219.27/219.54 [350]~E(x3501,x3502)+E(f261(x3503,x3501),f261(x3503,x3502)) % 219.27/219.54 [351]~E(x3511,x3512)+E(f707(x3511,x3513,x3514,x3515),f707(x3512,x3513,x3514,x3515)) % 219.27/219.54 [352]~E(x3521,x3522)+E(f707(x3523,x3521,x3524,x3525),f707(x3523,x3522,x3524,x3525)) % 219.27/219.54 [353]~E(x3531,x3532)+E(f707(x3533,x3534,x3531,x3535),f707(x3533,x3534,x3532,x3535)) % 219.27/219.54 [354]~E(x3541,x3542)+E(f707(x3543,x3544,x3545,x3541),f707(x3543,x3544,x3545,x3542)) % 219.27/219.54 [355]~E(x3551,x3552)+E(f240(x3551,x3553),f240(x3552,x3553)) % 219.27/219.54 [356]~E(x3561,x3562)+E(f240(x3563,x3561),f240(x3563,x3562)) % 219.27/219.54 [357]~E(x3571,x3572)+E(f612(x3571,x3573,x3574),f612(x3572,x3573,x3574)) % 219.27/219.54 [358]~E(x3581,x3582)+E(f612(x3583,x3581,x3584),f612(x3583,x3582,x3584)) % 219.27/219.54 [359]~E(x3591,x3592)+E(f612(x3593,x3594,x3591),f612(x3593,x3594,x3592)) % 219.27/219.54 [360]~E(x3601,x3602)+E(f80(x3601,x3603),f80(x3602,x3603)) % 219.27/219.54 [361]~E(x3611,x3612)+E(f80(x3613,x3611),f80(x3613,x3612)) % 219.27/219.54 [362]~E(x3621,x3622)+E(f729(x3621,x3623),f729(x3622,x3623)) % 219.27/219.54 [363]~E(x3631,x3632)+E(f729(x3633,x3631),f729(x3633,x3632)) % 219.27/219.54 [364]~E(x3641,x3642)+E(f897(x3641,x3643,x3644,x3645,x3646,x3647,x3648),f897(x3642,x3643,x3644,x3645,x3646,x3647,x3648)) % 219.27/219.54 [365]~E(x3651,x3652)+E(f897(x3653,x3651,x3654,x3655,x3656,x3657,x3658),f897(x3653,x3652,x3654,x3655,x3656,x3657,x3658)) % 219.27/219.54 [366]~E(x3661,x3662)+E(f897(x3663,x3664,x3661,x3665,x3666,x3667,x3668),f897(x3663,x3664,x3662,x3665,x3666,x3667,x3668)) % 219.27/219.54 [367]~E(x3671,x3672)+E(f897(x3673,x3674,x3675,x3671,x3676,x3677,x3678),f897(x3673,x3674,x3675,x3672,x3676,x3677,x3678)) % 219.27/219.54 [368]~E(x3681,x3682)+E(f897(x3683,x3684,x3685,x3686,x3681,x3687,x3688),f897(x3683,x3684,x3685,x3686,x3682,x3687,x3688)) % 219.27/219.54 [369]~E(x3691,x3692)+E(f897(x3693,x3694,x3695,x3696,x3697,x3691,x3698),f897(x3693,x3694,x3695,x3696,x3697,x3692,x3698)) % 219.27/219.54 [370]~E(x3701,x3702)+E(f897(x3703,x3704,x3705,x3706,x3707,x3708,x3701),f897(x3703,x3704,x3705,x3706,x3707,x3708,x3702)) % 219.27/219.54 [371]~E(x3711,x3712)+E(f156(x3711),f156(x3712)) % 219.27/219.54 [372]~E(x3721,x3722)+E(f157(x3721),f157(x3722)) % 219.27/219.54 [373]~E(x3731,x3732)+E(f111(x3731),f111(x3732)) % 219.27/219.54 [374]~E(x3741,x3742)+E(f112(x3741,x3743),f112(x3742,x3743)) % 219.27/219.54 [375]~E(x3751,x3752)+E(f112(x3753,x3751),f112(x3753,x3752)) % 219.27/219.54 [376]~E(x3761,x3762)+E(f638(x3761,x3763,x3764,x3765,x3766),f638(x3762,x3763,x3764,x3765,x3766)) % 219.27/219.54 [377]~E(x3771,x3772)+E(f638(x3773,x3771,x3774,x3775,x3776),f638(x3773,x3772,x3774,x3775,x3776)) % 219.27/219.54 [378]~E(x3781,x3782)+E(f638(x3783,x3784,x3781,x3785,x3786),f638(x3783,x3784,x3782,x3785,x3786)) % 219.27/219.54 [379]~E(x3791,x3792)+E(f638(x3793,x3794,x3795,x3791,x3796),f638(x3793,x3794,x3795,x3792,x3796)) % 219.27/219.54 [380]~E(x3801,x3802)+E(f638(x3803,x3804,x3805,x3806,x3801),f638(x3803,x3804,x3805,x3806,x3802)) % 219.27/219.54 [381]~E(x3811,x3812)+E(f641(x3811,x3813,x3814,x3815,x3816),f641(x3812,x3813,x3814,x3815,x3816)) % 219.27/219.54 [382]~E(x3821,x3822)+E(f641(x3823,x3821,x3824,x3825,x3826),f641(x3823,x3822,x3824,x3825,x3826)) % 219.27/219.54 [383]~E(x3831,x3832)+E(f641(x3833,x3834,x3831,x3835,x3836),f641(x3833,x3834,x3832,x3835,x3836)) % 219.27/219.54 [384]~E(x3841,x3842)+E(f641(x3843,x3844,x3845,x3841,x3846),f641(x3843,x3844,x3845,x3842,x3846)) % 219.27/219.54 [385]~E(x3851,x3852)+E(f641(x3853,x3854,x3855,x3856,x3851),f641(x3853,x3854,x3855,x3856,x3852)) % 219.27/219.54 [386]~E(x3861,x3862)+E(f352(x3861),f352(x3862)) % 219.27/219.54 [387]~E(x3871,x3872)+E(f860(x3871,x3873,x3874,x3875,x3876,x3877),f860(x3872,x3873,x3874,x3875,x3876,x3877)) % 219.27/219.54 [388]~E(x3881,x3882)+E(f860(x3883,x3881,x3884,x3885,x3886,x3887),f860(x3883,x3882,x3884,x3885,x3886,x3887)) % 219.27/219.54 [389]~E(x3891,x3892)+E(f860(x3893,x3894,x3891,x3895,x3896,x3897),f860(x3893,x3894,x3892,x3895,x3896,x3897)) % 219.27/219.54 [390]~E(x3901,x3902)+E(f860(x3903,x3904,x3905,x3901,x3906,x3907),f860(x3903,x3904,x3905,x3902,x3906,x3907)) % 219.27/219.54 [391]~E(x3911,x3912)+E(f860(x3913,x3914,x3915,x3916,x3911,x3917),f860(x3913,x3914,x3915,x3916,x3912,x3917)) % 219.27/219.54 [392]~E(x3921,x3922)+E(f860(x3923,x3924,x3925,x3926,x3927,x3921),f860(x3923,x3924,x3925,x3926,x3927,x3922)) % 219.27/219.54 [393]~E(x3931,x3932)+E(f79(x3931,x3933),f79(x3932,x3933)) % 219.27/219.54 [394]~E(x3941,x3942)+E(f79(x3943,x3941),f79(x3943,x3942)) % 219.27/219.54 [395]~E(x3951,x3952)+E(f861(x3951,x3953,x3954,x3955,x3956,x3957),f861(x3952,x3953,x3954,x3955,x3956,x3957)) % 219.27/219.54 [396]~E(x3961,x3962)+E(f861(x3963,x3961,x3964,x3965,x3966,x3967),f861(x3963,x3962,x3964,x3965,x3966,x3967)) % 219.27/219.54 [397]~E(x3971,x3972)+E(f861(x3973,x3974,x3971,x3975,x3976,x3977),f861(x3973,x3974,x3972,x3975,x3976,x3977)) % 219.27/219.54 [398]~E(x3981,x3982)+E(f861(x3983,x3984,x3985,x3981,x3986,x3987),f861(x3983,x3984,x3985,x3982,x3986,x3987)) % 219.27/219.54 [399]~E(x3991,x3992)+E(f861(x3993,x3994,x3995,x3996,x3991,x3997),f861(x3993,x3994,x3995,x3996,x3992,x3997)) % 219.27/219.54 [400]~E(x4001,x4002)+E(f861(x4003,x4004,x4005,x4006,x4007,x4001),f861(x4003,x4004,x4005,x4006,x4007,x4002)) % 219.27/219.54 [401]~E(x4011,x4012)+E(f84(x4011,x4013),f84(x4012,x4013)) % 219.27/219.54 [402]~E(x4021,x4022)+E(f84(x4023,x4021),f84(x4023,x4022)) % 219.27/219.54 [403]~E(x4031,x4032)+E(f175(x4031,x4033),f175(x4032,x4033)) % 219.27/219.54 [404]~E(x4041,x4042)+E(f175(x4043,x4041),f175(x4043,x4042)) % 219.27/219.54 [405]~E(x4051,x4052)+E(f145(x4051,x4053),f145(x4052,x4053)) % 219.27/219.54 [406]~E(x4061,x4062)+E(f145(x4063,x4061),f145(x4063,x4062)) % 219.27/219.54 [407]~E(x4071,x4072)+E(f255(x4071,x4073),f255(x4072,x4073)) % 219.27/219.54 [408]~E(x4081,x4082)+E(f255(x4083,x4081),f255(x4083,x4082)) % 219.27/219.54 [409]~E(x4091,x4092)+E(f716(x4091,x4093,x4094,x4095,x4096),f716(x4092,x4093,x4094,x4095,x4096)) % 219.27/219.54 [410]~E(x4101,x4102)+E(f716(x4103,x4101,x4104,x4105,x4106),f716(x4103,x4102,x4104,x4105,x4106)) % 219.27/219.54 [411]~E(x4111,x4112)+E(f716(x4113,x4114,x4111,x4115,x4116),f716(x4113,x4114,x4112,x4115,x4116)) % 219.27/219.54 [412]~E(x4121,x4122)+E(f716(x4123,x4124,x4125,x4121,x4126),f716(x4123,x4124,x4125,x4122,x4126)) % 219.27/219.54 [413]~E(x4131,x4132)+E(f716(x4133,x4134,x4135,x4136,x4131),f716(x4133,x4134,x4135,x4136,x4132)) % 219.27/219.54 [414]~E(x4141,x4142)+E(f16(x4141,x4143),f16(x4142,x4143)) % 219.27/219.54 [415]~E(x4151,x4152)+E(f16(x4153,x4151),f16(x4153,x4152)) % 219.27/219.54 [416]~E(x4161,x4162)+E(f640(x4161,x4163,x4164,x4165),f640(x4162,x4163,x4164,x4165)) % 219.27/219.54 [417]~E(x4171,x4172)+E(f640(x4173,x4171,x4174,x4175),f640(x4173,x4172,x4174,x4175)) % 219.27/219.54 [418]~E(x4181,x4182)+E(f640(x4183,x4184,x4181,x4185),f640(x4183,x4184,x4182,x4185)) % 219.27/219.54 [419]~E(x4191,x4192)+E(f640(x4193,x4194,x4195,x4191),f640(x4193,x4194,x4195,x4192)) % 219.27/219.54 [420]~E(x4201,x4202)+E(f59(x4201,x4203,x4204),f59(x4202,x4203,x4204)) % 219.27/219.54 [421]~E(x4211,x4212)+E(f59(x4213,x4211,x4214),f59(x4213,x4212,x4214)) % 219.27/219.54 [422]~E(x4221,x4222)+E(f59(x4223,x4224,x4221),f59(x4223,x4224,x4222)) % 219.27/219.54 [423]~E(x4231,x4232)+E(f800(x4231),f800(x4232)) % 219.27/219.54 [424]~E(x4241,x4242)+E(f421(x4241,x4243,x4244,x4245),f421(x4242,x4243,x4244,x4245)) % 219.27/219.54 [425]~E(x4251,x4252)+E(f421(x4253,x4251,x4254,x4255),f421(x4253,x4252,x4254,x4255)) % 219.27/219.54 [426]~E(x4261,x4262)+E(f421(x4263,x4264,x4261,x4265),f421(x4263,x4264,x4262,x4265)) % 219.27/219.54 [427]~E(x4271,x4272)+E(f421(x4273,x4274,x4275,x4271),f421(x4273,x4274,x4275,x4272)) % 219.27/219.54 [428]~E(x4281,x4282)+E(f733(x4281,x4283,x4284),f733(x4282,x4283,x4284)) % 219.27/219.54 [429]~E(x4291,x4292)+E(f733(x4293,x4291,x4294),f733(x4293,x4292,x4294)) % 219.27/219.54 [430]~E(x4301,x4302)+E(f733(x4303,x4304,x4301),f733(x4303,x4304,x4302)) % 219.27/219.54 [431]~E(x4311,x4312)+E(f354(x4311,x4313),f354(x4312,x4313)) % 219.27/219.54 [432]~E(x4321,x4322)+E(f354(x4323,x4321),f354(x4323,x4322)) % 219.27/219.54 [433]~E(x4331,x4332)+E(f141(x4331,x4333,x4334,x4335,x4336),f141(x4332,x4333,x4334,x4335,x4336)) % 219.27/219.54 [434]~E(x4341,x4342)+E(f141(x4343,x4341,x4344,x4345,x4346),f141(x4343,x4342,x4344,x4345,x4346)) % 219.27/219.54 [435]~E(x4351,x4352)+E(f141(x4353,x4354,x4351,x4355,x4356),f141(x4353,x4354,x4352,x4355,x4356)) % 219.27/219.54 [436]~E(x4361,x4362)+E(f141(x4363,x4364,x4365,x4361,x4366),f141(x4363,x4364,x4365,x4362,x4366)) % 219.27/219.54 [437]~E(x4371,x4372)+E(f141(x4373,x4374,x4375,x4376,x4371),f141(x4373,x4374,x4375,x4376,x4372)) % 219.27/219.54 [438]~E(x4381,x4382)+E(f307(x4381,x4383),f307(x4382,x4383)) % 219.27/219.54 [439]~E(x4391,x4392)+E(f307(x4393,x4391),f307(x4393,x4392)) % 219.27/219.54 [440]~E(x4401,x4402)+E(f424(x4401,x4403,x4404,x4405,x4406),f424(x4402,x4403,x4404,x4405,x4406)) % 219.27/219.54 [441]~E(x4411,x4412)+E(f424(x4413,x4411,x4414,x4415,x4416),f424(x4413,x4412,x4414,x4415,x4416)) % 219.27/219.54 [442]~E(x4421,x4422)+E(f424(x4423,x4424,x4421,x4425,x4426),f424(x4423,x4424,x4422,x4425,x4426)) % 219.27/219.54 [443]~E(x4431,x4432)+E(f424(x4433,x4434,x4435,x4431,x4436),f424(x4433,x4434,x4435,x4432,x4436)) % 219.27/219.54 [444]~E(x4441,x4442)+E(f424(x4443,x4444,x4445,x4446,x4441),f424(x4443,x4444,x4445,x4446,x4442)) % 219.27/219.54 [445]~E(x4451,x4452)+E(f715(x4451,x4453,x4454,x4455,x4456),f715(x4452,x4453,x4454,x4455,x4456)) % 219.27/219.54 [446]~E(x4461,x4462)+E(f715(x4463,x4461,x4464,x4465,x4466),f715(x4463,x4462,x4464,x4465,x4466)) % 219.27/219.54 [447]~E(x4471,x4472)+E(f715(x4473,x4474,x4471,x4475,x4476),f715(x4473,x4474,x4472,x4475,x4476)) % 219.27/219.54 [448]~E(x4481,x4482)+E(f715(x4483,x4484,x4485,x4481,x4486),f715(x4483,x4484,x4485,x4482,x4486)) % 219.27/219.54 [449]~E(x4491,x4492)+E(f715(x4493,x4494,x4495,x4496,x4491),f715(x4493,x4494,x4495,x4496,x4492)) % 219.27/219.54 [450]~E(x4501,x4502)+E(f57(x4501,x4503),f57(x4502,x4503)) % 219.27/219.54 [451]~E(x4511,x4512)+E(f57(x4513,x4511),f57(x4513,x4512)) % 219.27/219.54 [452]~E(x4521,x4522)+E(f541(x4521,x4523,x4524),f541(x4522,x4523,x4524)) % 219.27/219.54 [453]~E(x4531,x4532)+E(f541(x4533,x4531,x4534),f541(x4533,x4532,x4534)) % 219.27/219.54 [454]~E(x4541,x4542)+E(f541(x4543,x4544,x4541),f541(x4543,x4544,x4542)) % 219.27/219.54 [455]~E(x4551,x4552)+E(f864(x4551,x4553,x4554,x4555,x4556,x4557),f864(x4552,x4553,x4554,x4555,x4556,x4557)) % 219.27/219.54 [456]~E(x4561,x4562)+E(f864(x4563,x4561,x4564,x4565,x4566,x4567),f864(x4563,x4562,x4564,x4565,x4566,x4567)) % 219.27/219.54 [457]~E(x4571,x4572)+E(f864(x4573,x4574,x4571,x4575,x4576,x4577),f864(x4573,x4574,x4572,x4575,x4576,x4577)) % 219.27/219.54 [458]~E(x4581,x4582)+E(f864(x4583,x4584,x4585,x4581,x4586,x4587),f864(x4583,x4584,x4585,x4582,x4586,x4587)) % 219.27/219.54 [459]~E(x4591,x4592)+E(f864(x4593,x4594,x4595,x4596,x4591,x4597),f864(x4593,x4594,x4595,x4596,x4592,x4597)) % 219.27/219.54 [460]~E(x4601,x4602)+E(f864(x4603,x4604,x4605,x4606,x4607,x4601),f864(x4603,x4604,x4605,x4606,x4607,x4602)) % 219.27/219.54 [461]~E(x4611,x4612)+E(f865(x4611,x4613,x4614,x4615,x4616,x4617),f865(x4612,x4613,x4614,x4615,x4616,x4617)) % 219.27/219.54 [462]~E(x4621,x4622)+E(f865(x4623,x4621,x4624,x4625,x4626,x4627),f865(x4623,x4622,x4624,x4625,x4626,x4627)) % 219.27/219.54 [463]~E(x4631,x4632)+E(f865(x4633,x4634,x4631,x4635,x4636,x4637),f865(x4633,x4634,x4632,x4635,x4636,x4637)) % 219.27/219.54 [464]~E(x4641,x4642)+E(f865(x4643,x4644,x4645,x4641,x4646,x4647),f865(x4643,x4644,x4645,x4642,x4646,x4647)) % 219.27/219.54 [465]~E(x4651,x4652)+E(f865(x4653,x4654,x4655,x4656,x4651,x4657),f865(x4653,x4654,x4655,x4656,x4652,x4657)) % 219.27/219.54 [466]~E(x4661,x4662)+E(f865(x4663,x4664,x4665,x4666,x4667,x4661),f865(x4663,x4664,x4665,x4666,x4667,x4662)) % 219.27/219.54 [467]~E(x4671,x4672)+E(f76(x4671,x4673),f76(x4672,x4673)) % 219.27/219.54 [468]~E(x4681,x4682)+E(f76(x4683,x4681),f76(x4683,x4682)) % 219.27/219.54 [469]~E(x4691,x4692)+E(f328(x4691,x4693,x4694),f328(x4692,x4693,x4694)) % 219.27/219.54 [470]~E(x4701,x4702)+E(f328(x4703,x4701,x4704),f328(x4703,x4702,x4704)) % 219.27/219.54 [471]~E(x4711,x4712)+E(f328(x4713,x4714,x4711),f328(x4713,x4714,x4712)) % 219.27/219.54 [472]~E(x4721,x4722)+E(f497(x4721,x4723,x4724,x4725,x4726,x4727,x4728),f497(x4722,x4723,x4724,x4725,x4726,x4727,x4728)) % 219.27/219.54 [473]~E(x4731,x4732)+E(f497(x4733,x4731,x4734,x4735,x4736,x4737,x4738),f497(x4733,x4732,x4734,x4735,x4736,x4737,x4738)) % 219.27/219.54 [474]~E(x4741,x4742)+E(f497(x4743,x4744,x4741,x4745,x4746,x4747,x4748),f497(x4743,x4744,x4742,x4745,x4746,x4747,x4748)) % 219.27/219.54 [475]~E(x4751,x4752)+E(f497(x4753,x4754,x4755,x4751,x4756,x4757,x4758),f497(x4753,x4754,x4755,x4752,x4756,x4757,x4758)) % 219.27/219.54 [476]~E(x4761,x4762)+E(f497(x4763,x4764,x4765,x4766,x4761,x4767,x4768),f497(x4763,x4764,x4765,x4766,x4762,x4767,x4768)) % 219.27/219.54 [477]~E(x4771,x4772)+E(f497(x4773,x4774,x4775,x4776,x4777,x4771,x4778),f497(x4773,x4774,x4775,x4776,x4777,x4772,x4778)) % 219.27/219.54 [478]~E(x4781,x4782)+E(f497(x4783,x4784,x4785,x4786,x4787,x4788,x4781),f497(x4783,x4784,x4785,x4786,x4787,x4788,x4782)) % 219.27/219.54 [479]~E(x4791,x4792)+E(f256(x4791,x4793),f256(x4792,x4793)) % 219.27/219.54 [480]~E(x4801,x4802)+E(f256(x4803,x4801),f256(x4803,x4802)) % 219.27/219.54 [481]~E(x4811,x4812)+E(f874(x4811,x4813,x4814),f874(x4812,x4813,x4814)) % 219.27/219.54 [482]~E(x4821,x4822)+E(f874(x4823,x4821,x4824),f874(x4823,x4822,x4824)) % 219.27/219.54 [483]~E(x4831,x4832)+E(f874(x4833,x4834,x4831),f874(x4833,x4834,x4832)) % 219.27/219.54 [484]~E(x4841,x4842)+E(f149(x4841,x4843),f149(x4842,x4843)) % 219.27/219.54 [485]~E(x4851,x4852)+E(f149(x4853,x4851),f149(x4853,x4852)) % 219.27/219.54 [486]~E(x4861,x4862)+E(f554(x4861),f554(x4862)) % 219.27/219.54 [487]~E(x4871,x4872)+E(f11(x4871,x4873,x4874),f11(x4872,x4873,x4874)) % 219.27/219.54 [488]~E(x4881,x4882)+E(f11(x4883,x4881,x4884),f11(x4883,x4882,x4884)) % 219.27/219.54 [489]~E(x4891,x4892)+E(f11(x4893,x4894,x4891),f11(x4893,x4894,x4892)) % 219.27/219.54 [490]~E(x4901,x4902)+E(f171(x4901,x4903),f171(x4902,x4903)) % 219.27/219.54 [491]~E(x4911,x4912)+E(f171(x4913,x4911),f171(x4913,x4912)) % 219.27/219.54 [492]~E(x4921,x4922)+E(f192(x4921),f192(x4922)) % 219.27/219.54 [493]~E(x4931,x4932)+E(f878(x4931,x4933,x4934),f878(x4932,x4933,x4934)) % 219.27/219.54 [494]~E(x4941,x4942)+E(f878(x4943,x4941,x4944),f878(x4943,x4942,x4944)) % 219.27/219.54 [495]~E(x4951,x4952)+E(f878(x4953,x4954,x4951),f878(x4953,x4954,x4952)) % 219.27/219.54 [496]~E(x4961,x4962)+E(f903(x4961,x4963),f903(x4962,x4963)) % 219.27/219.54 [497]~E(x4971,x4972)+E(f903(x4973,x4971),f903(x4973,x4972)) % 219.27/219.54 [498]~E(x4981,x4982)+E(f306(x4981),f306(x4982)) % 219.27/219.54 [499]~E(x4991,x4992)+E(f748(x4991,x4993),f748(x4992,x4993)) % 219.27/219.54 [500]~E(x5001,x5002)+E(f748(x5003,x5001),f748(x5003,x5002)) % 219.27/219.54 [501]~E(x5011,x5012)+E(f655(x5011,x5013,x5014,x5015),f655(x5012,x5013,x5014,x5015)) % 219.27/219.54 [502]~E(x5021,x5022)+E(f655(x5023,x5021,x5024,x5025),f655(x5023,x5022,x5024,x5025)) % 219.27/219.54 [503]~E(x5031,x5032)+E(f655(x5033,x5034,x5031,x5035),f655(x5033,x5034,x5032,x5035)) % 219.27/219.54 [504]~E(x5041,x5042)+E(f655(x5043,x5044,x5045,x5041),f655(x5043,x5044,x5045,x5042)) % 219.27/219.54 [505]~E(x5051,x5052)+E(f85(x5051,x5053,x5054,x5055),f85(x5052,x5053,x5054,x5055)) % 219.27/219.54 [506]~E(x5061,x5062)+E(f85(x5063,x5061,x5064,x5065),f85(x5063,x5062,x5064,x5065)) % 219.27/219.54 [507]~E(x5071,x5072)+E(f85(x5073,x5074,x5071,x5075),f85(x5073,x5074,x5072,x5075)) % 219.27/219.54 [508]~E(x5081,x5082)+E(f85(x5083,x5084,x5085,x5081),f85(x5083,x5084,x5085,x5082)) % 219.27/219.54 [509]~E(x5091,x5092)+E(f550(x5091,x5093,x5094,x5095,x5096,x5097,x5098),f550(x5092,x5093,x5094,x5095,x5096,x5097,x5098)) % 219.27/219.54 [510]~E(x5101,x5102)+E(f550(x5103,x5101,x5104,x5105,x5106,x5107,x5108),f550(x5103,x5102,x5104,x5105,x5106,x5107,x5108)) % 219.27/219.54 [511]~E(x5111,x5112)+E(f550(x5113,x5114,x5111,x5115,x5116,x5117,x5118),f550(x5113,x5114,x5112,x5115,x5116,x5117,x5118)) % 219.27/219.54 [512]~E(x5121,x5122)+E(f550(x5123,x5124,x5125,x5121,x5126,x5127,x5128),f550(x5123,x5124,x5125,x5122,x5126,x5127,x5128)) % 219.27/219.54 [513]~E(x5131,x5132)+E(f550(x5133,x5134,x5135,x5136,x5131,x5137,x5138),f550(x5133,x5134,x5135,x5136,x5132,x5137,x5138)) % 219.27/219.54 [514]~E(x5141,x5142)+E(f550(x5143,x5144,x5145,x5146,x5147,x5141,x5148),f550(x5143,x5144,x5145,x5146,x5147,x5142,x5148)) % 219.27/219.54 [515]~E(x5151,x5152)+E(f550(x5153,x5154,x5155,x5156,x5157,x5158,x5151),f550(x5153,x5154,x5155,x5156,x5157,x5158,x5152)) % 219.27/219.54 [516]~E(x5161,x5162)+E(f542(x5161,x5163,x5164),f542(x5162,x5163,x5164)) % 219.27/219.54 [517]~E(x5171,x5172)+E(f542(x5173,x5171,x5174),f542(x5173,x5172,x5174)) % 219.27/219.54 [518]~E(x5181,x5182)+E(f542(x5183,x5184,x5181),f542(x5183,x5184,x5182)) % 219.27/219.54 [519]~E(x5191,x5192)+E(f787(x5191,x5193,x5194),f787(x5192,x5193,x5194)) % 219.27/219.54 [520]~E(x5201,x5202)+E(f787(x5203,x5201,x5204),f787(x5203,x5202,x5204)) % 219.27/219.54 [521]~E(x5211,x5212)+E(f787(x5213,x5214,x5211),f787(x5213,x5214,x5212)) % 219.27/219.54 [522]~E(x5221,x5222)+E(f667(x5221,x5223,x5224,x5225,x5226,x5227),f667(x5222,x5223,x5224,x5225,x5226,x5227)) % 219.27/219.54 [523]~E(x5231,x5232)+E(f667(x5233,x5231,x5234,x5235,x5236,x5237),f667(x5233,x5232,x5234,x5235,x5236,x5237)) % 219.27/219.54 [524]~E(x5241,x5242)+E(f667(x5243,x5244,x5241,x5245,x5246,x5247),f667(x5243,x5244,x5242,x5245,x5246,x5247)) % 219.27/219.54 [525]~E(x5251,x5252)+E(f667(x5253,x5254,x5255,x5251,x5256,x5257),f667(x5253,x5254,x5255,x5252,x5256,x5257)) % 219.27/219.54 [526]~E(x5261,x5262)+E(f667(x5263,x5264,x5265,x5266,x5261,x5267),f667(x5263,x5264,x5265,x5266,x5262,x5267)) % 219.27/219.54 [527]~E(x5271,x5272)+E(f667(x5273,x5274,x5275,x5276,x5277,x5271),f667(x5273,x5274,x5275,x5276,x5277,x5272)) % 219.27/219.54 [528]~E(x5281,x5282)+E(f668(x5281,x5283,x5284,x5285,x5286,x5287),f668(x5282,x5283,x5284,x5285,x5286,x5287)) % 219.27/219.54 [529]~E(x5291,x5292)+E(f668(x5293,x5291,x5294,x5295,x5296,x5297),f668(x5293,x5292,x5294,x5295,x5296,x5297)) % 219.27/219.54 [530]~E(x5301,x5302)+E(f668(x5303,x5304,x5301,x5305,x5306,x5307),f668(x5303,x5304,x5302,x5305,x5306,x5307)) % 219.27/219.54 [531]~E(x5311,x5312)+E(f668(x5313,x5314,x5315,x5311,x5316,x5317),f668(x5313,x5314,x5315,x5312,x5316,x5317)) % 219.27/219.54 [532]~E(x5321,x5322)+E(f668(x5323,x5324,x5325,x5326,x5321,x5327),f668(x5323,x5324,x5325,x5326,x5322,x5327)) % 219.27/219.54 [533]~E(x5331,x5332)+E(f668(x5333,x5334,x5335,x5336,x5337,x5331),f668(x5333,x5334,x5335,x5336,x5337,x5332)) % 219.27/219.54 [534]~E(x5341,x5342)+E(f278(x5341,x5343),f278(x5342,x5343)) % 219.27/219.54 [535]~E(x5351,x5352)+E(f278(x5353,x5351),f278(x5353,x5352)) % 219.27/219.54 [536]~E(x5361,x5362)+E(f152(x5361,x5363),f152(x5362,x5363)) % 219.27/219.54 [537]~E(x5371,x5372)+E(f152(x5373,x5371),f152(x5373,x5372)) % 219.27/219.54 [538]~E(x5381,x5382)+E(f876(x5381,x5383,x5384),f876(x5382,x5383,x5384)) % 219.27/219.54 [539]~E(x5391,x5392)+E(f876(x5393,x5391,x5394),f876(x5393,x5392,x5394)) % 219.27/219.54 [540]~E(x5401,x5402)+E(f876(x5403,x5404,x5401),f876(x5403,x5404,x5402)) % 219.27/219.54 [541]~E(x5411,x5412)+E(f755(x5411,x5413,x5414,x5415,x5416),f755(x5412,x5413,x5414,x5415,x5416)) % 219.27/219.54 [542]~E(x5421,x5422)+E(f755(x5423,x5421,x5424,x5425,x5426),f755(x5423,x5422,x5424,x5425,x5426)) % 219.27/219.54 [543]~E(x5431,x5432)+E(f755(x5433,x5434,x5431,x5435,x5436),f755(x5433,x5434,x5432,x5435,x5436)) % 219.27/219.54 [544]~E(x5441,x5442)+E(f755(x5443,x5444,x5445,x5441,x5446),f755(x5443,x5444,x5445,x5442,x5446)) % 219.27/219.54 [545]~E(x5451,x5452)+E(f755(x5453,x5454,x5455,x5456,x5451),f755(x5453,x5454,x5455,x5456,x5452)) % 219.27/219.54 [546]~E(x5461,x5462)+E(f851(x5461,x5463,x5464,x5465,x5466,x5467,x5468),f851(x5462,x5463,x5464,x5465,x5466,x5467,x5468)) % 219.27/219.54 [547]~E(x5471,x5472)+E(f851(x5473,x5471,x5474,x5475,x5476,x5477,x5478),f851(x5473,x5472,x5474,x5475,x5476,x5477,x5478)) % 219.27/219.54 [548]~E(x5481,x5482)+E(f851(x5483,x5484,x5481,x5485,x5486,x5487,x5488),f851(x5483,x5484,x5482,x5485,x5486,x5487,x5488)) % 219.27/219.54 [549]~E(x5491,x5492)+E(f851(x5493,x5494,x5495,x5491,x5496,x5497,x5498),f851(x5493,x5494,x5495,x5492,x5496,x5497,x5498)) % 219.27/219.54 [550]~E(x5501,x5502)+E(f851(x5503,x5504,x5505,x5506,x5501,x5507,x5508),f851(x5503,x5504,x5505,x5506,x5502,x5507,x5508)) % 219.27/219.54 [551]~E(x5511,x5512)+E(f851(x5513,x5514,x5515,x5516,x5517,x5511,x5518),f851(x5513,x5514,x5515,x5516,x5517,x5512,x5518)) % 219.27/219.54 [552]~E(x5521,x5522)+E(f851(x5523,x5524,x5525,x5526,x5527,x5528,x5521),f851(x5523,x5524,x5525,x5526,x5527,x5528,x5522)) % 219.27/219.54 [553]~E(x5531,x5532)+E(f275(x5531),f275(x5532)) % 219.27/219.54 [554]~E(x5541,x5542)+E(f15(x5541,x5543),f15(x5542,x5543)) % 219.27/219.54 [555]~E(x5551,x5552)+E(f15(x5553,x5551),f15(x5553,x5552)) % 219.27/219.54 [556]~E(x5561,x5562)+E(f296(x5561),f296(x5562)) % 219.27/219.54 [557]~E(x5571,x5572)+E(f503(x5571,x5573,x5574),f503(x5572,x5573,x5574)) % 219.27/219.54 [558]~E(x5581,x5582)+E(f503(x5583,x5581,x5584),f503(x5583,x5582,x5584)) % 219.27/219.54 [559]~E(x5591,x5592)+E(f503(x5593,x5594,x5591),f503(x5593,x5594,x5592)) % 219.27/219.54 [560]~E(x5601,x5602)+E(f237(x5601,x5603,x5604),f237(x5602,x5603,x5604)) % 219.27/219.54 [561]~E(x5611,x5612)+E(f237(x5613,x5611,x5614),f237(x5613,x5612,x5614)) % 219.27/219.54 [562]~E(x5621,x5622)+E(f237(x5623,x5624,x5621),f237(x5623,x5624,x5622)) % 219.27/219.54 [563]~E(x5631,x5632)+E(f798(x5631,x5633,x5634,x5635),f798(x5632,x5633,x5634,x5635)) % 219.27/219.54 [564]~E(x5641,x5642)+E(f798(x5643,x5641,x5644,x5645),f798(x5643,x5642,x5644,x5645)) % 219.27/219.54 [565]~E(x5651,x5652)+E(f798(x5653,x5654,x5651,x5655),f798(x5653,x5654,x5652,x5655)) % 219.27/219.54 [566]~E(x5661,x5662)+E(f798(x5663,x5664,x5665,x5661),f798(x5663,x5664,x5665,x5662)) % 219.27/219.54 [567]~E(x5671,x5672)+E(f41(x5671,x5673),f41(x5672,x5673)) % 219.27/219.54 [568]~E(x5681,x5682)+E(f41(x5683,x5681),f41(x5683,x5682)) % 219.27/219.54 [569]~E(x5691,x5692)+E(f293(x5691),f293(x5692)) % 219.27/219.54 [570]~E(x5701,x5702)+E(f816(x5701,x5703,x5704),f816(x5702,x5703,x5704)) % 219.27/219.54 [571]~E(x5711,x5712)+E(f816(x5713,x5711,x5714),f816(x5713,x5712,x5714)) % 219.27/219.54 [572]~E(x5721,x5722)+E(f816(x5723,x5724,x5721),f816(x5723,x5724,x5722)) % 219.27/219.54 [573]~E(x5731,x5732)+E(f60(x5731,x5733,x5734,x5735,x5736),f60(x5732,x5733,x5734,x5735,x5736)) % 219.27/219.54 [574]~E(x5741,x5742)+E(f60(x5743,x5741,x5744,x5745,x5746),f60(x5743,x5742,x5744,x5745,x5746)) % 219.27/219.54 [575]~E(x5751,x5752)+E(f60(x5753,x5754,x5751,x5755,x5756),f60(x5753,x5754,x5752,x5755,x5756)) % 219.27/219.54 [576]~E(x5761,x5762)+E(f60(x5763,x5764,x5765,x5761,x5766),f60(x5763,x5764,x5765,x5762,x5766)) % 219.27/219.54 [577]~E(x5771,x5772)+E(f60(x5773,x5774,x5775,x5776,x5771),f60(x5773,x5774,x5775,x5776,x5772)) % 219.27/219.54 [578]~E(x5781,x5782)+E(f282(x5781,x5783,x5784,x5785),f282(x5782,x5783,x5784,x5785)) % 219.27/219.54 [579]~E(x5791,x5792)+E(f282(x5793,x5791,x5794,x5795),f282(x5793,x5792,x5794,x5795)) % 219.27/219.54 [580]~E(x5801,x5802)+E(f282(x5803,x5804,x5801,x5805),f282(x5803,x5804,x5802,x5805)) % 219.27/219.54 [581]~E(x5811,x5812)+E(f282(x5813,x5814,x5815,x5811),f282(x5813,x5814,x5815,x5812)) % 219.27/219.54 [582]~E(x5821,x5822)+E(f403(x5821,x5823,x5824,x5825),f403(x5822,x5823,x5824,x5825)) % 219.27/219.54 [583]~E(x5831,x5832)+E(f403(x5833,x5831,x5834,x5835),f403(x5833,x5832,x5834,x5835)) % 219.27/219.54 [584]~E(x5841,x5842)+E(f403(x5843,x5844,x5841,x5845),f403(x5843,x5844,x5842,x5845)) % 219.27/219.54 [585]~E(x5851,x5852)+E(f403(x5853,x5854,x5855,x5851),f403(x5853,x5854,x5855,x5852)) % 219.27/219.54 [586]~E(x5861,x5862)+E(f666(x5861,x5863,x5864,x5865,x5866,x5867),f666(x5862,x5863,x5864,x5865,x5866,x5867)) % 219.27/219.54 [587]~E(x5871,x5872)+E(f666(x5873,x5871,x5874,x5875,x5876,x5877),f666(x5873,x5872,x5874,x5875,x5876,x5877)) % 219.27/219.54 [588]~E(x5881,x5882)+E(f666(x5883,x5884,x5881,x5885,x5886,x5887),f666(x5883,x5884,x5882,x5885,x5886,x5887)) % 219.27/219.54 [589]~E(x5891,x5892)+E(f666(x5893,x5894,x5895,x5891,x5896,x5897),f666(x5893,x5894,x5895,x5892,x5896,x5897)) % 219.27/219.54 [590]~E(x5901,x5902)+E(f666(x5903,x5904,x5905,x5906,x5901,x5907),f666(x5903,x5904,x5905,x5906,x5902,x5907)) % 219.27/219.54 [591]~E(x5911,x5912)+E(f666(x5913,x5914,x5915,x5916,x5917,x5911),f666(x5913,x5914,x5915,x5916,x5917,x5912)) % 219.27/219.54 [592]~E(x5921,x5922)+E(f504(x5921,x5923,x5924),f504(x5922,x5923,x5924)) % 219.27/219.54 [593]~E(x5931,x5932)+E(f504(x5933,x5931,x5934),f504(x5933,x5932,x5934)) % 219.27/219.54 [594]~E(x5941,x5942)+E(f504(x5943,x5944,x5941),f504(x5943,x5944,x5942)) % 219.27/219.54 [595]~E(x5951,x5952)+E(f117(x5951,x5953),f117(x5952,x5953)) % 219.27/219.54 [596]~E(x5961,x5962)+E(f117(x5963,x5961),f117(x5963,x5962)) % 219.27/219.54 [597]~E(x5971,x5972)+E(f827(x5971),f827(x5972)) % 219.27/219.54 [598]~E(x5981,x5982)+E(f392(x5981,x5983,x5984,x5985,x5986),f392(x5982,x5983,x5984,x5985,x5986)) % 219.27/219.54 [599]~E(x5991,x5992)+E(f392(x5993,x5991,x5994,x5995,x5996),f392(x5993,x5992,x5994,x5995,x5996)) % 219.27/219.54 [600]~E(x6001,x6002)+E(f392(x6003,x6004,x6001,x6005,x6006),f392(x6003,x6004,x6002,x6005,x6006)) % 219.27/219.54 [601]~E(x6011,x6012)+E(f392(x6013,x6014,x6015,x6011,x6016),f392(x6013,x6014,x6015,x6012,x6016)) % 219.27/219.54 [602]~E(x6021,x6022)+E(f392(x6023,x6024,x6025,x6026,x6021),f392(x6023,x6024,x6025,x6026,x6022)) % 219.27/219.54 [603]~E(x6031,x6032)+E(f568(x6031,x6033),f568(x6032,x6033)) % 219.27/219.54 [604]~E(x6041,x6042)+E(f568(x6043,x6041),f568(x6043,x6042)) % 219.27/219.54 [605]~E(x6051,x6052)+E(f784(x6051,x6053,x6054),f784(x6052,x6053,x6054)) % 219.27/219.54 [606]~E(x6061,x6062)+E(f784(x6063,x6061,x6064),f784(x6063,x6062,x6064)) % 219.27/219.54 [607]~E(x6071,x6072)+E(f784(x6073,x6074,x6071),f784(x6073,x6074,x6072)) % 219.27/219.54 [608]~E(x6081,x6082)+E(f162(x6081,x6083,x6084),f162(x6082,x6083,x6084)) % 219.27/219.54 [609]~E(x6091,x6092)+E(f162(x6093,x6091,x6094),f162(x6093,x6092,x6094)) % 219.27/219.54 [610]~E(x6101,x6102)+E(f162(x6103,x6104,x6101),f162(x6103,x6104,x6102)) % 219.27/219.54 [611]~E(x6111,x6112)+E(f726(x6111,x6113,x6114),f726(x6112,x6113,x6114)) % 219.27/219.54 [612]~E(x6121,x6122)+E(f726(x6123,x6121,x6124),f726(x6123,x6122,x6124)) % 219.27/219.54 [613]~E(x6131,x6132)+E(f726(x6133,x6134,x6131),f726(x6133,x6134,x6132)) % 219.27/219.54 [614]~E(x6141,x6142)+E(f863(x6141,x6143,x6144,x6145,x6146,x6147,x6148,x6149),f863(x6142,x6143,x6144,x6145,x6146,x6147,x6148,x6149)) % 219.27/219.54 [615]~E(x6151,x6152)+E(f863(x6153,x6151,x6154,x6155,x6156,x6157,x6158,x6159),f863(x6153,x6152,x6154,x6155,x6156,x6157,x6158,x6159)) % 219.27/219.54 [616]~E(x6161,x6162)+E(f863(x6163,x6164,x6161,x6165,x6166,x6167,x6168,x6169),f863(x6163,x6164,x6162,x6165,x6166,x6167,x6168,x6169)) % 219.27/219.54 [617]~E(x6171,x6172)+E(f863(x6173,x6174,x6175,x6171,x6176,x6177,x6178,x6179),f863(x6173,x6174,x6175,x6172,x6176,x6177,x6178,x6179)) % 219.27/219.54 [618]~E(x6181,x6182)+E(f863(x6183,x6184,x6185,x6186,x6181,x6187,x6188,x6189),f863(x6183,x6184,x6185,x6186,x6182,x6187,x6188,x6189)) % 219.27/219.54 [619]~E(x6191,x6192)+E(f863(x6193,x6194,x6195,x6196,x6197,x6191,x6198,x6199),f863(x6193,x6194,x6195,x6196,x6197,x6192,x6198,x6199)) % 219.27/219.54 [620]~E(x6201,x6202)+E(f863(x6203,x6204,x6205,x6206,x6207,x6208,x6201,x6209),f863(x6203,x6204,x6205,x6206,x6207,x6208,x6202,x6209)) % 219.27/219.54 [621]~E(x6211,x6212)+E(f863(x6213,x6214,x6215,x6216,x6217,x6218,x6219,x6211),f863(x6213,x6214,x6215,x6216,x6217,x6218,x6219,x6212)) % 219.27/219.54 [622]~E(x6221,x6222)+E(f212(x6221,x6223,x6224,x6225),f212(x6222,x6223,x6224,x6225)) % 219.27/219.54 [623]~E(x6231,x6232)+E(f212(x6233,x6231,x6234,x6235),f212(x6233,x6232,x6234,x6235)) % 219.27/219.54 [624]~E(x6241,x6242)+E(f212(x6243,x6244,x6241,x6245),f212(x6243,x6244,x6242,x6245)) % 219.27/219.54 [625]~E(x6251,x6252)+E(f212(x6253,x6254,x6255,x6251),f212(x6253,x6254,x6255,x6252)) % 219.27/219.54 [626]~E(x6261,x6262)+E(f510(x6261,x6263,x6264,x6265,x6266),f510(x6262,x6263,x6264,x6265,x6266)) % 219.27/219.54 [627]~E(x6271,x6272)+E(f510(x6273,x6271,x6274,x6275,x6276),f510(x6273,x6272,x6274,x6275,x6276)) % 219.27/219.54 [628]~E(x6281,x6282)+E(f510(x6283,x6284,x6281,x6285,x6286),f510(x6283,x6284,x6282,x6285,x6286)) % 219.27/219.54 [629]~E(x6291,x6292)+E(f510(x6293,x6294,x6295,x6291,x6296),f510(x6293,x6294,x6295,x6292,x6296)) % 219.27/219.54 [630]~E(x6301,x6302)+E(f510(x6303,x6304,x6305,x6306,x6301),f510(x6303,x6304,x6305,x6306,x6302)) % 219.27/219.54 [631]~E(x6311,x6312)+E(f372(x6311,x6313),f372(x6312,x6313)) % 219.27/219.54 [632]~E(x6321,x6322)+E(f372(x6323,x6321),f372(x6323,x6322)) % 219.27/219.54 [633]~E(x6331,x6332)+E(f685(x6331,x6333,x6334),f685(x6332,x6333,x6334)) % 219.27/219.54 [634]~E(x6341,x6342)+E(f685(x6343,x6341,x6344),f685(x6343,x6342,x6344)) % 219.27/219.54 [635]~E(x6351,x6352)+E(f685(x6353,x6354,x6351),f685(x6353,x6354,x6352)) % 219.27/219.54 [636]~E(x6361,x6362)+E(f875(x6361,x6363,x6364),f875(x6362,x6363,x6364)) % 219.27/219.54 [637]~E(x6371,x6372)+E(f875(x6373,x6371,x6374),f875(x6373,x6372,x6374)) % 219.27/219.54 [638]~E(x6381,x6382)+E(f875(x6383,x6384,x6381),f875(x6383,x6384,x6382)) % 219.27/219.54 [639]~E(x6391,x6392)+E(f404(x6391,x6393,x6394,x6395),f404(x6392,x6393,x6394,x6395)) % 219.27/219.54 [640]~E(x6401,x6402)+E(f404(x6403,x6401,x6404,x6405),f404(x6403,x6402,x6404,x6405)) % 219.27/219.54 [641]~E(x6411,x6412)+E(f404(x6413,x6414,x6411,x6415),f404(x6413,x6414,x6412,x6415)) % 219.27/219.54 [642]~E(x6421,x6422)+E(f404(x6423,x6424,x6425,x6421),f404(x6423,x6424,x6425,x6422)) % 219.27/219.54 [643]~E(x6431,x6432)+E(f139(x6431,x6433),f139(x6432,x6433)) % 219.27/219.54 [644]~E(x6441,x6442)+E(f139(x6443,x6441),f139(x6443,x6442)) % 219.27/219.54 [645]~E(x6451,x6452)+E(f828(x6451),f828(x6452)) % 219.27/219.54 [646]~E(x6461,x6462)+E(f588(x6461,x6463),f588(x6462,x6463)) % 219.27/219.54 [647]~E(x6471,x6472)+E(f588(x6473,x6471),f588(x6473,x6472)) % 219.27/219.54 [648]~E(x6481,x6482)+E(f43(x6481,x6483),f43(x6482,x6483)) % 219.27/219.54 [649]~E(x6491,x6492)+E(f43(x6493,x6491),f43(x6493,x6492)) % 219.27/219.54 [650]~E(x6501,x6502)+E(f151(x6501,x6503),f151(x6502,x6503)) % 219.27/219.54 [651]~E(x6511,x6512)+E(f151(x6513,x6511),f151(x6513,x6512)) % 219.27/219.54 [652]~E(x6521,x6522)+E(f744(x6521,x6523,x6524,x6525),f744(x6522,x6523,x6524,x6525)) % 219.27/219.54 [653]~E(x6531,x6532)+E(f744(x6533,x6531,x6534,x6535),f744(x6533,x6532,x6534,x6535)) % 219.27/219.54 [654]~E(x6541,x6542)+E(f744(x6543,x6544,x6541,x6545),f744(x6543,x6544,x6542,x6545)) % 219.27/219.54 [655]~E(x6551,x6552)+E(f744(x6553,x6554,x6555,x6551),f744(x6553,x6554,x6555,x6552)) % 219.27/219.54 [656]~E(x6561,x6562)+E(f44(x6561,x6563),f44(x6562,x6563)) % 219.27/219.54 [657]~E(x6571,x6572)+E(f44(x6573,x6571),f44(x6573,x6572)) % 219.27/219.54 [658]~E(x6581,x6582)+E(f47(x6581,x6583),f47(x6582,x6583)) % 219.27/219.54 [659]~E(x6591,x6592)+E(f47(x6593,x6591),f47(x6593,x6592)) % 219.27/219.54 [660]~E(x6601,x6602)+E(f634(x6601,x6603,x6604),f634(x6602,x6603,x6604)) % 219.27/219.54 [661]~E(x6611,x6612)+E(f634(x6613,x6611,x6614),f634(x6613,x6612,x6614)) % 219.27/219.54 [662]~E(x6621,x6622)+E(f634(x6623,x6624,x6621),f634(x6623,x6624,x6622)) % 219.27/219.54 [663]~E(x6631,x6632)+E(f491(x6631,x6633),f491(x6632,x6633)) % 219.27/219.54 [664]~E(x6641,x6642)+E(f491(x6643,x6641),f491(x6643,x6642)) % 219.27/219.54 [665]~E(x6651,x6652)+E(f86(x6651),f86(x6652)) % 219.27/219.54 [666]~E(x6661,x6662)+E(f565(x6661,x6663),f565(x6662,x6663)) % 219.27/219.54 [667]~E(x6671,x6672)+E(f565(x6673,x6671),f565(x6673,x6672)) % 219.27/219.54 [668]~E(x6681,x6682)+E(f814(x6681,x6683,x6684),f814(x6682,x6683,x6684)) % 219.27/219.54 [669]~E(x6691,x6692)+E(f814(x6693,x6691,x6694),f814(x6693,x6692,x6694)) % 219.27/219.54 [670]~E(x6701,x6702)+E(f814(x6703,x6704,x6701),f814(x6703,x6704,x6702)) % 219.27/219.54 [671]~E(x6711,x6712)+E(f458(x6711,x6713),f458(x6712,x6713)) % 219.27/219.54 [672]~E(x6721,x6722)+E(f458(x6723,x6721),f458(x6723,x6722)) % 219.27/219.54 [673]~E(x6731,x6732)+E(f40(x6731,x6733),f40(x6732,x6733)) % 219.27/219.54 [674]~E(x6741,x6742)+E(f40(x6743,x6741),f40(x6743,x6742)) % 219.27/219.54 [675]~E(x6751,x6752)+E(f168(x6751,x6753,x6754),f168(x6752,x6753,x6754)) % 219.27/219.54 [676]~E(x6761,x6762)+E(f168(x6763,x6761,x6764),f168(x6763,x6762,x6764)) % 219.27/219.54 [677]~E(x6771,x6772)+E(f168(x6773,x6774,x6771),f168(x6773,x6774,x6772)) % 219.27/219.54 [678]~E(x6781,x6782)+E(f912(x6781,x6783,x6784,x6785,x6786),f912(x6782,x6783,x6784,x6785,x6786)) % 219.27/219.54 [679]~E(x6791,x6792)+E(f912(x6793,x6791,x6794,x6795,x6796),f912(x6793,x6792,x6794,x6795,x6796)) % 219.27/219.54 [680]~E(x6801,x6802)+E(f912(x6803,x6804,x6801,x6805,x6806),f912(x6803,x6804,x6802,x6805,x6806)) % 219.27/219.54 [681]~E(x6811,x6812)+E(f912(x6813,x6814,x6815,x6811,x6816),f912(x6813,x6814,x6815,x6812,x6816)) % 219.27/219.54 [682]~E(x6821,x6822)+E(f912(x6823,x6824,x6825,x6826,x6821),f912(x6823,x6824,x6825,x6826,x6822)) % 219.27/219.54 [683]~E(x6831,x6832)+E(f881(x6831,x6833,x6834,x6835),f881(x6832,x6833,x6834,x6835)) % 219.27/219.54 [684]~E(x6841,x6842)+E(f881(x6843,x6841,x6844,x6845),f881(x6843,x6842,x6844,x6845)) % 219.27/219.54 [685]~E(x6851,x6852)+E(f881(x6853,x6854,x6851,x6855),f881(x6853,x6854,x6852,x6855)) % 219.27/219.54 [686]~E(x6861,x6862)+E(f881(x6863,x6864,x6865,x6861),f881(x6863,x6864,x6865,x6862)) % 219.27/219.54 [687]~E(x6871,x6872)+E(f868(x6871,x6873,x6874),f868(x6872,x6873,x6874)) % 219.27/219.54 [688]~E(x6881,x6882)+E(f868(x6883,x6881,x6884),f868(x6883,x6882,x6884)) % 219.27/219.54 [689]~E(x6891,x6892)+E(f868(x6893,x6894,x6891),f868(x6893,x6894,x6892)) % 219.27/219.54 [690]~E(x6901,x6902)+E(f486(x6901,x6903,x6904),f486(x6902,x6903,x6904)) % 219.27/219.54 [691]~E(x6911,x6912)+E(f486(x6913,x6911,x6914),f486(x6913,x6912,x6914)) % 219.27/219.54 [692]~E(x6921,x6922)+E(f486(x6923,x6924,x6921),f486(x6923,x6924,x6922)) % 219.27/219.54 [693]~E(x6931,x6932)+E(f449(x6931,x6933,x6934),f449(x6932,x6933,x6934)) % 219.27/219.54 [694]~E(x6941,x6942)+E(f449(x6943,x6941,x6944),f449(x6943,x6942,x6944)) % 219.27/219.54 [695]~E(x6951,x6952)+E(f449(x6953,x6954,x6951),f449(x6953,x6954,x6952)) % 219.27/219.54 [696]~E(x6961,x6962)+E(f165(x6961,x6963,x6964),f165(x6962,x6963,x6964)) % 219.27/219.54 [697]~E(x6971,x6972)+E(f165(x6973,x6971,x6974),f165(x6973,x6972,x6974)) % 219.27/219.54 [698]~E(x6981,x6982)+E(f165(x6983,x6984,x6981),f165(x6983,x6984,x6982)) % 219.27/219.54 [699]~E(x6991,x6992)+E(f752(x6991,x6993),f752(x6992,x6993)) % 219.27/219.54 [700]~E(x7001,x7002)+E(f752(x7003,x7001),f752(x7003,x7002)) % 219.27/219.54 [701]~E(x7011,x7012)+E(f477(x7011,x7013,x7014),f477(x7012,x7013,x7014)) % 219.27/219.54 [702]~E(x7021,x7022)+E(f477(x7023,x7021,x7024),f477(x7023,x7022,x7024)) % 219.27/219.54 [703]~E(x7031,x7032)+E(f477(x7033,x7034,x7031),f477(x7033,x7034,x7032)) % 219.27/219.54 [704]~E(x7041,x7042)+E(f230(x7041,x7043),f230(x7042,x7043)) % 219.27/219.54 [705]~E(x7051,x7052)+E(f230(x7053,x7051),f230(x7053,x7052)) % 219.27/219.54 [706]~E(x7061,x7062)+E(f51(x7061),f51(x7062)) % 219.27/219.54 [707]~E(x7071,x7072)+E(f50(x7071),f50(x7072)) % 219.27/219.54 [708]~E(x7081,x7082)+E(f653(x7081,x7083,x7084,x7085,x7086,x7087,x7088),f653(x7082,x7083,x7084,x7085,x7086,x7087,x7088)) % 219.27/219.54 [709]~E(x7091,x7092)+E(f653(x7093,x7091,x7094,x7095,x7096,x7097,x7098),f653(x7093,x7092,x7094,x7095,x7096,x7097,x7098)) % 219.27/219.54 [710]~E(x7101,x7102)+E(f653(x7103,x7104,x7101,x7105,x7106,x7107,x7108),f653(x7103,x7104,x7102,x7105,x7106,x7107,x7108)) % 219.27/219.54 [711]~E(x7111,x7112)+E(f653(x7113,x7114,x7115,x7111,x7116,x7117,x7118),f653(x7113,x7114,x7115,x7112,x7116,x7117,x7118)) % 219.27/219.54 [712]~E(x7121,x7122)+E(f653(x7123,x7124,x7125,x7126,x7121,x7127,x7128),f653(x7123,x7124,x7125,x7126,x7122,x7127,x7128)) % 219.27/219.54 [713]~E(x7131,x7132)+E(f653(x7133,x7134,x7135,x7136,x7137,x7131,x7138),f653(x7133,x7134,x7135,x7136,x7137,x7132,x7138)) % 219.27/219.54 [714]~E(x7141,x7142)+E(f653(x7143,x7144,x7145,x7146,x7147,x7148,x7141),f653(x7143,x7144,x7145,x7146,x7147,x7148,x7142)) % 219.27/219.54 [715]~E(x7151,x7152)+E(f308(x7151,x7153),f308(x7152,x7153)) % 219.27/219.54 [716]~E(x7161,x7162)+E(f308(x7163,x7161),f308(x7163,x7162)) % 219.27/219.54 [717]~E(x7171,x7172)+E(f604(x7171,x7173,x7174,x7175,x7176,x7177),f604(x7172,x7173,x7174,x7175,x7176,x7177)) % 219.27/219.54 [718]~E(x7181,x7182)+E(f604(x7183,x7181,x7184,x7185,x7186,x7187),f604(x7183,x7182,x7184,x7185,x7186,x7187)) % 219.27/219.54 [719]~E(x7191,x7192)+E(f604(x7193,x7194,x7191,x7195,x7196,x7197),f604(x7193,x7194,x7192,x7195,x7196,x7197)) % 219.27/219.54 [720]~E(x7201,x7202)+E(f604(x7203,x7204,x7205,x7201,x7206,x7207),f604(x7203,x7204,x7205,x7202,x7206,x7207)) % 219.27/219.54 [721]~E(x7211,x7212)+E(f604(x7213,x7214,x7215,x7216,x7211,x7217),f604(x7213,x7214,x7215,x7216,x7212,x7217)) % 219.27/219.54 [722]~E(x7221,x7222)+E(f604(x7223,x7224,x7225,x7226,x7227,x7221),f604(x7223,x7224,x7225,x7226,x7227,x7222)) % 219.27/219.54 [723]~E(x7231,x7232)+E(f280(x7231,x7233),f280(x7232,x7233)) % 219.27/219.54 [724]~E(x7241,x7242)+E(f280(x7243,x7241),f280(x7243,x7242)) % 219.27/219.54 [725]~E(x7251,x7252)+E(f777(x7251,x7253,x7254),f777(x7252,x7253,x7254)) % 219.27/219.54 [726]~E(x7261,x7262)+E(f777(x7263,x7261,x7264),f777(x7263,x7262,x7264)) % 219.27/219.54 [727]~E(x7271,x7272)+E(f777(x7273,x7274,x7271),f777(x7273,x7274,x7272)) % 219.27/219.54 [728]~E(x7281,x7282)+E(f635(x7281,x7283,x7284,x7285,x7286),f635(x7282,x7283,x7284,x7285,x7286)) % 219.27/219.54 [729]~E(x7291,x7292)+E(f635(x7293,x7291,x7294,x7295,x7296),f635(x7293,x7292,x7294,x7295,x7296)) % 219.27/219.54 [730]~E(x7301,x7302)+E(f635(x7303,x7304,x7301,x7305,x7306),f635(x7303,x7304,x7302,x7305,x7306)) % 219.27/219.54 [731]~E(x7311,x7312)+E(f635(x7313,x7314,x7315,x7311,x7316),f635(x7313,x7314,x7315,x7312,x7316)) % 219.27/219.54 [732]~E(x7321,x7322)+E(f635(x7323,x7324,x7325,x7326,x7321),f635(x7323,x7324,x7325,x7326,x7322)) % 219.27/219.54 [733]~E(x7331,x7332)+E(f693(x7331,x7333,x7334,x7335),f693(x7332,x7333,x7334,x7335)) % 219.27/219.54 [734]~E(x7341,x7342)+E(f693(x7343,x7341,x7344,x7345),f693(x7343,x7342,x7344,x7345)) % 219.27/219.54 [735]~E(x7351,x7352)+E(f693(x7353,x7354,x7351,x7355),f693(x7353,x7354,x7352,x7355)) % 219.27/219.54 [736]~E(x7361,x7362)+E(f693(x7363,x7364,x7365,x7361),f693(x7363,x7364,x7365,x7362)) % 219.27/219.54 [737]~E(x7371,x7372)+E(f580(x7371,x7373,x7374,x7375,x7376,x7377),f580(x7372,x7373,x7374,x7375,x7376,x7377)) % 219.27/219.54 [738]~E(x7381,x7382)+E(f580(x7383,x7381,x7384,x7385,x7386,x7387),f580(x7383,x7382,x7384,x7385,x7386,x7387)) % 219.27/219.54 [739]~E(x7391,x7392)+E(f580(x7393,x7394,x7391,x7395,x7396,x7397),f580(x7393,x7394,x7392,x7395,x7396,x7397)) % 219.27/219.54 [740]~E(x7401,x7402)+E(f580(x7403,x7404,x7405,x7401,x7406,x7407),f580(x7403,x7404,x7405,x7402,x7406,x7407)) % 219.27/219.54 [741]~E(x7411,x7412)+E(f580(x7413,x7414,x7415,x7416,x7411,x7417),f580(x7413,x7414,x7415,x7416,x7412,x7417)) % 219.27/219.54 [742]~E(x7421,x7422)+E(f580(x7423,x7424,x7425,x7426,x7427,x7421),f580(x7423,x7424,x7425,x7426,x7427,x7422)) % 219.27/219.54 [743]~E(x7431,x7432)+E(f812(x7431,x7433),f812(x7432,x7433)) % 219.27/219.54 [744]~E(x7441,x7442)+E(f812(x7443,x7441),f812(x7443,x7442)) % 219.27/219.54 [745]~E(x7451,x7452)+E(f407(x7451,x7453,x7454,x7455,x7456),f407(x7452,x7453,x7454,x7455,x7456)) % 219.27/219.54 [746]~E(x7461,x7462)+E(f407(x7463,x7461,x7464,x7465,x7466),f407(x7463,x7462,x7464,x7465,x7466)) % 219.27/219.54 [747]~E(x7471,x7472)+E(f407(x7473,x7474,x7471,x7475,x7476),f407(x7473,x7474,x7472,x7475,x7476)) % 219.27/219.54 [748]~E(x7481,x7482)+E(f407(x7483,x7484,x7485,x7481,x7486),f407(x7483,x7484,x7485,x7482,x7486)) % 219.27/219.54 [749]~E(x7491,x7492)+E(f407(x7493,x7494,x7495,x7496,x7491),f407(x7493,x7494,x7495,x7496,x7492)) % 219.27/219.54 [750]~E(x7501,x7502)+E(f536(x7501,x7503,x7504),f536(x7502,x7503,x7504)) % 219.27/219.54 [751]~E(x7511,x7512)+E(f536(x7513,x7511,x7514),f536(x7513,x7512,x7514)) % 219.27/219.54 [752]~E(x7521,x7522)+E(f536(x7523,x7524,x7521),f536(x7523,x7524,x7522)) % 219.27/219.54 [753]~E(x7531,x7532)+E(f867(x7531,x7533,x7534),f867(x7532,x7533,x7534)) % 219.27/219.54 [754]~E(x7541,x7542)+E(f867(x7543,x7541,x7544),f867(x7543,x7542,x7544)) % 219.27/219.54 [755]~E(x7551,x7552)+E(f867(x7553,x7554,x7551),f867(x7553,x7554,x7552)) % 219.27/219.54 [756]~E(x7561,x7562)+E(f789(x7561,x7563,x7564,x7565),f789(x7562,x7563,x7564,x7565)) % 219.27/219.54 [757]~E(x7571,x7572)+E(f789(x7573,x7571,x7574,x7575),f789(x7573,x7572,x7574,x7575)) % 219.27/219.54 [758]~E(x7581,x7582)+E(f789(x7583,x7584,x7581,x7585),f789(x7583,x7584,x7582,x7585)) % 219.27/219.54 [759]~E(x7591,x7592)+E(f789(x7593,x7594,x7595,x7591),f789(x7593,x7594,x7595,x7592)) % 219.27/219.54 [760]~E(x7601,x7602)+E(f133(x7601),f133(x7602)) % 219.27/219.54 [761]~E(x7611,x7612)+E(f368(x7611,x7613),f368(x7612,x7613)) % 219.27/219.54 [762]~E(x7621,x7622)+E(f368(x7623,x7621),f368(x7623,x7622)) % 219.27/219.54 [763]~E(x7631,x7632)+E(f276(x7631,x7633),f276(x7632,x7633)) % 219.27/219.54 [764]~E(x7641,x7642)+E(f276(x7643,x7641),f276(x7643,x7642)) % 219.27/219.54 [765]~E(x7651,x7652)+E(f579(x7651,x7653,x7654,x7655),f579(x7652,x7653,x7654,x7655)) % 219.27/219.54 [766]~E(x7661,x7662)+E(f579(x7663,x7661,x7664,x7665),f579(x7663,x7662,x7664,x7665)) % 219.27/219.54 [767]~E(x7671,x7672)+E(f579(x7673,x7674,x7671,x7675),f579(x7673,x7674,x7672,x7675)) % 219.27/219.54 [768]~E(x7681,x7682)+E(f579(x7683,x7684,x7685,x7681),f579(x7683,x7684,x7685,x7682)) % 219.27/219.54 [769]~E(x7691,x7692)+E(f440(x7691,x7693),f440(x7692,x7693)) % 219.27/219.54 [770]~E(x7701,x7702)+E(f440(x7703,x7701),f440(x7703,x7702)) % 219.27/219.54 [771]~E(x7711,x7712)+E(f267(x7711,x7713),f267(x7712,x7713)) % 219.27/219.54 [772]~E(x7721,x7722)+E(f267(x7723,x7721),f267(x7723,x7722)) % 219.27/219.54 [773]~E(x7731,x7732)+E(f289(x7731,x7733,x7734,x7735,x7736),f289(x7732,x7733,x7734,x7735,x7736)) % 219.27/219.54 [774]~E(x7741,x7742)+E(f289(x7743,x7741,x7744,x7745,x7746),f289(x7743,x7742,x7744,x7745,x7746)) % 219.27/219.54 [775]~E(x7751,x7752)+E(f289(x7753,x7754,x7751,x7755,x7756),f289(x7753,x7754,x7752,x7755,x7756)) % 219.27/219.54 [776]~E(x7761,x7762)+E(f289(x7763,x7764,x7765,x7761,x7766),f289(x7763,x7764,x7765,x7762,x7766)) % 219.27/219.54 [777]~E(x7771,x7772)+E(f289(x7773,x7774,x7775,x7776,x7771),f289(x7773,x7774,x7775,x7776,x7772)) % 219.27/219.54 [778]~E(x7781,x7782)+E(f215(x7781,x7783,x7784,x7785,x7786),f215(x7782,x7783,x7784,x7785,x7786)) % 219.27/219.54 [779]~E(x7791,x7792)+E(f215(x7793,x7791,x7794,x7795,x7796),f215(x7793,x7792,x7794,x7795,x7796)) % 219.27/219.54 [780]~E(x7801,x7802)+E(f215(x7803,x7804,x7801,x7805,x7806),f215(x7803,x7804,x7802,x7805,x7806)) % 219.27/219.54 [781]~E(x7811,x7812)+E(f215(x7813,x7814,x7815,x7811,x7816),f215(x7813,x7814,x7815,x7812,x7816)) % 219.27/219.54 [782]~E(x7821,x7822)+E(f215(x7823,x7824,x7825,x7826,x7821),f215(x7823,x7824,x7825,x7826,x7822)) % 219.27/219.54 [783]~E(x7831,x7832)+E(f811(x7831,x7833),f811(x7832,x7833)) % 219.27/219.54 [784]~E(x7841,x7842)+E(f811(x7843,x7841),f811(x7843,x7842)) % 219.27/219.54 [785]~E(x7851,x7852)+E(f473(x7851,x7853,x7854),f473(x7852,x7853,x7854)) % 219.27/219.54 [786]~E(x7861,x7862)+E(f473(x7863,x7861,x7864),f473(x7863,x7862,x7864)) % 219.27/219.54 [787]~E(x7871,x7872)+E(f473(x7873,x7874,x7871),f473(x7873,x7874,x7872)) % 219.27/219.54 [788]~E(x7881,x7882)+E(f420(x7881,x7883,x7884),f420(x7882,x7883,x7884)) % 219.27/219.54 [789]~E(x7891,x7892)+E(f420(x7893,x7891,x7894),f420(x7893,x7892,x7894)) % 219.27/219.54 [790]~E(x7901,x7902)+E(f420(x7903,x7904,x7901),f420(x7903,x7904,x7902)) % 219.27/219.54 [791]~E(x7911,x7912)+E(f908(x7911,x7913,x7914,x7915,x7916),f908(x7912,x7913,x7914,x7915,x7916)) % 219.27/219.54 [792]~E(x7921,x7922)+E(f908(x7923,x7921,x7924,x7925,x7926),f908(x7923,x7922,x7924,x7925,x7926)) % 219.27/219.54 [793]~E(x7931,x7932)+E(f908(x7933,x7934,x7931,x7935,x7936),f908(x7933,x7934,x7932,x7935,x7936)) % 219.27/219.54 [794]~E(x7941,x7942)+E(f908(x7943,x7944,x7945,x7941,x7946),f908(x7943,x7944,x7945,x7942,x7946)) % 219.27/219.54 [795]~E(x7951,x7952)+E(f908(x7953,x7954,x7955,x7956,x7951),f908(x7953,x7954,x7955,x7956,x7952)) % 219.27/219.54 [796]~E(x7961,x7962)+E(f235(x7961,x7963,x7964),f235(x7962,x7963,x7964)) % 219.27/219.54 [797]~E(x7971,x7972)+E(f235(x7973,x7971,x7974),f235(x7973,x7972,x7974)) % 219.27/219.54 [798]~E(x7981,x7982)+E(f235(x7983,x7984,x7981),f235(x7983,x7984,x7982)) % 219.27/219.54 [799]~E(x7991,x7992)+E(f472(x7991,x7993,x7994),f472(x7992,x7993,x7994)) % 219.27/219.54 [800]~E(x8001,x8002)+E(f472(x8003,x8001,x8004),f472(x8003,x8002,x8004)) % 219.27/219.54 [801]~E(x8011,x8012)+E(f472(x8013,x8014,x8011),f472(x8013,x8014,x8012)) % 219.27/219.54 [802]~E(x8021,x8022)+E(f723(x8021,x8023,x8024),f723(x8022,x8023,x8024)) % 219.27/219.54 [803]~E(x8031,x8032)+E(f723(x8033,x8031,x8034),f723(x8033,x8032,x8034)) % 219.27/219.54 [804]~E(x8041,x8042)+E(f723(x8043,x8044,x8041),f723(x8043,x8044,x8042)) % 219.27/219.54 [805]~E(x8051,x8052)+E(f121(x8051),f121(x8052)) % 219.27/219.54 [806]~E(x8061,x8062)+E(f367(x8061,x8063),f367(x8062,x8063)) % 219.27/219.54 [807]~E(x8071,x8072)+E(f367(x8073,x8071),f367(x8073,x8072)) % 219.27/219.54 [808]~E(x8081,x8082)+E(f770(x8081,x8083,x8084,x8085,x8086),f770(x8082,x8083,x8084,x8085,x8086)) % 219.27/219.54 [809]~E(x8091,x8092)+E(f770(x8093,x8091,x8094,x8095,x8096),f770(x8093,x8092,x8094,x8095,x8096)) % 219.27/219.54 [810]~E(x8101,x8102)+E(f770(x8103,x8104,x8101,x8105,x8106),f770(x8103,x8104,x8102,x8105,x8106)) % 219.27/219.54 [811]~E(x8111,x8112)+E(f770(x8113,x8114,x8115,x8111,x8116),f770(x8113,x8114,x8115,x8112,x8116)) % 219.27/219.54 [812]~E(x8121,x8122)+E(f770(x8123,x8124,x8125,x8126,x8121),f770(x8123,x8124,x8125,x8126,x8122)) % 219.27/219.54 [813]~E(x8131,x8132)+E(f664(x8131,x8133,x8134,x8135,x8136),f664(x8132,x8133,x8134,x8135,x8136)) % 219.27/219.54 [814]~E(x8141,x8142)+E(f664(x8143,x8141,x8144,x8145,x8146),f664(x8143,x8142,x8144,x8145,x8146)) % 219.27/219.54 [815]~E(x8151,x8152)+E(f664(x8153,x8154,x8151,x8155,x8156),f664(x8153,x8154,x8152,x8155,x8156)) % 219.27/219.54 [816]~E(x8161,x8162)+E(f664(x8163,x8164,x8165,x8161,x8166),f664(x8163,x8164,x8165,x8162,x8166)) % 219.27/219.54 [817]~E(x8171,x8172)+E(f664(x8173,x8174,x8175,x8176,x8171),f664(x8173,x8174,x8175,x8176,x8172)) % 219.27/219.54 [818]~E(x8181,x8182)+E(f594(x8181,x8183,x8184),f594(x8182,x8183,x8184)) % 219.27/219.54 [819]~E(x8191,x8192)+E(f594(x8193,x8191,x8194),f594(x8193,x8192,x8194)) % 219.27/219.54 [820]~E(x8201,x8202)+E(f594(x8203,x8204,x8201),f594(x8203,x8204,x8202)) % 219.27/219.54 [821]~E(x8211,x8212)+E(f775(x8211,x8213,x8214),f775(x8212,x8213,x8214)) % 219.27/219.54 [822]~E(x8221,x8222)+E(f775(x8223,x8221,x8224),f775(x8223,x8222,x8224)) % 219.27/219.54 [823]~E(x8231,x8232)+E(f775(x8233,x8234,x8231),f775(x8233,x8234,x8232)) % 219.27/219.54 [824]~E(x8241,x8242)+E(f514(x8241,x8243,x8244,x8245,x8246),f514(x8242,x8243,x8244,x8245,x8246)) % 219.27/219.54 [825]~E(x8251,x8252)+E(f514(x8253,x8251,x8254,x8255,x8256),f514(x8253,x8252,x8254,x8255,x8256)) % 219.27/219.54 [826]~E(x8261,x8262)+E(f514(x8263,x8264,x8261,x8265,x8266),f514(x8263,x8264,x8262,x8265,x8266)) % 219.27/219.54 [827]~E(x8271,x8272)+E(f514(x8273,x8274,x8275,x8271,x8276),f514(x8273,x8274,x8275,x8272,x8276)) % 219.27/219.54 [828]~E(x8281,x8282)+E(f514(x8283,x8284,x8285,x8286,x8281),f514(x8283,x8284,x8285,x8286,x8282)) % 219.27/219.54 [829]~E(x8291,x8292)+E(f466(x8291,x8293,x8294,x8295),f466(x8292,x8293,x8294,x8295)) % 219.27/219.54 [830]~E(x8301,x8302)+E(f466(x8303,x8301,x8304,x8305),f466(x8303,x8302,x8304,x8305)) % 219.27/219.54 [831]~E(x8311,x8312)+E(f466(x8313,x8314,x8311,x8315),f466(x8313,x8314,x8312,x8315)) % 219.27/219.54 [832]~E(x8321,x8322)+E(f466(x8323,x8324,x8325,x8321),f466(x8323,x8324,x8325,x8322)) % 219.27/219.54 [833]~E(x8331,x8332)+E(f406(x8331,x8333,x8334,x8335),f406(x8332,x8333,x8334,x8335)) % 219.27/219.54 [834]~E(x8341,x8342)+E(f406(x8343,x8341,x8344,x8345),f406(x8343,x8342,x8344,x8345)) % 219.27/219.54 [835]~E(x8351,x8352)+E(f406(x8353,x8354,x8351,x8355),f406(x8353,x8354,x8352,x8355)) % 219.27/219.54 [836]~E(x8361,x8362)+E(f406(x8363,x8364,x8365,x8361),f406(x8363,x8364,x8365,x8362)) % 219.27/219.54 [837]~E(x8371,x8372)+E(f692(x8371,x8373,x8374,x8375),f692(x8372,x8373,x8374,x8375)) % 219.27/219.54 [838]~E(x8381,x8382)+E(f692(x8383,x8381,x8384,x8385),f692(x8383,x8382,x8384,x8385)) % 219.27/219.54 [839]~E(x8391,x8392)+E(f692(x8393,x8394,x8391,x8395),f692(x8393,x8394,x8392,x8395)) % 219.27/219.54 [840]~E(x8401,x8402)+E(f692(x8403,x8404,x8405,x8401),f692(x8403,x8404,x8405,x8402)) % 219.27/219.54 [841]~E(x8411,x8412)+E(f511(x8411,x8413,x8414),f511(x8412,x8413,x8414)) % 219.27/219.54 [842]~E(x8421,x8422)+E(f511(x8423,x8421,x8424),f511(x8423,x8422,x8424)) % 219.27/219.54 [843]~E(x8431,x8432)+E(f511(x8433,x8434,x8431),f511(x8433,x8434,x8432)) % 219.27/219.54 [844]~E(x8441,x8442)+E(f622(x8441,x8443,x8444,x8445,x8446,x8447,x8448,x8449),f622(x8442,x8443,x8444,x8445,x8446,x8447,x8448,x8449)) % 219.27/219.54 [845]~E(x8451,x8452)+E(f622(x8453,x8451,x8454,x8455,x8456,x8457,x8458,x8459),f622(x8453,x8452,x8454,x8455,x8456,x8457,x8458,x8459)) % 219.27/219.54 [846]~E(x8461,x8462)+E(f622(x8463,x8464,x8461,x8465,x8466,x8467,x8468,x8469),f622(x8463,x8464,x8462,x8465,x8466,x8467,x8468,x8469)) % 219.27/219.54 [847]~E(x8471,x8472)+E(f622(x8473,x8474,x8475,x8471,x8476,x8477,x8478,x8479),f622(x8473,x8474,x8475,x8472,x8476,x8477,x8478,x8479)) % 219.27/219.54 [848]~E(x8481,x8482)+E(f622(x8483,x8484,x8485,x8486,x8481,x8487,x8488,x8489),f622(x8483,x8484,x8485,x8486,x8482,x8487,x8488,x8489)) % 219.27/219.54 [849]~E(x8491,x8492)+E(f622(x8493,x8494,x8495,x8496,x8497,x8491,x8498,x8499),f622(x8493,x8494,x8495,x8496,x8497,x8492,x8498,x8499)) % 219.27/219.54 [850]~E(x8501,x8502)+E(f622(x8503,x8504,x8505,x8506,x8507,x8508,x8501,x8509),f622(x8503,x8504,x8505,x8506,x8507,x8508,x8502,x8509)) % 219.27/219.54 [851]~E(x8511,x8512)+E(f622(x8513,x8514,x8515,x8516,x8517,x8518,x8519,x8511),f622(x8513,x8514,x8515,x8516,x8517,x8518,x8519,x8512)) % 219.27/219.54 [852]~E(x8521,x8522)+E(f910(x8521,x8523,x8524,x8525,x8526),f910(x8522,x8523,x8524,x8525,x8526)) % 219.27/219.54 [853]~E(x8531,x8532)+E(f910(x8533,x8531,x8534,x8535,x8536),f910(x8533,x8532,x8534,x8535,x8536)) % 219.27/219.54 [854]~E(x8541,x8542)+E(f910(x8543,x8544,x8541,x8545,x8546),f910(x8543,x8544,x8542,x8545,x8546)) % 219.27/219.54 [855]~E(x8551,x8552)+E(f910(x8553,x8554,x8555,x8551,x8556),f910(x8553,x8554,x8555,x8552,x8556)) % 219.27/219.54 [856]~E(x8561,x8562)+E(f910(x8563,x8564,x8565,x8566,x8561),f910(x8563,x8564,x8565,x8566,x8562)) % 219.27/219.54 [857]~E(x8571,x8572)+E(f616(x8571,x8573,x8574,x8575),f616(x8572,x8573,x8574,x8575)) % 219.27/219.54 [858]~E(x8581,x8582)+E(f616(x8583,x8581,x8584,x8585),f616(x8583,x8582,x8584,x8585)) % 219.27/219.54 [859]~E(x8591,x8592)+E(f616(x8593,x8594,x8591,x8595),f616(x8593,x8594,x8592,x8595)) % 219.27/219.54 [860]~E(x8601,x8602)+E(f616(x8603,x8604,x8605,x8601),f616(x8603,x8604,x8605,x8602)) % 219.27/219.54 [861]~E(x8611,x8612)+E(f815(x8611,x8613,x8614,x8615),f815(x8612,x8613,x8614,x8615)) % 219.27/219.54 [862]~E(x8621,x8622)+E(f815(x8623,x8621,x8624,x8625),f815(x8623,x8622,x8624,x8625)) % 219.27/219.54 [863]~E(x8631,x8632)+E(f815(x8633,x8634,x8631,x8635),f815(x8633,x8634,x8632,x8635)) % 219.27/219.54 [864]~E(x8641,x8642)+E(f815(x8643,x8644,x8645,x8641),f815(x8643,x8644,x8645,x8642)) % 219.27/219.54 [865]~E(x8651,x8652)+E(f879(x8651,x8653,x8654),f879(x8652,x8653,x8654)) % 219.27/219.54 [866]~E(x8661,x8662)+E(f879(x8663,x8661,x8664),f879(x8663,x8662,x8664)) % 219.27/219.54 [867]~E(x8671,x8672)+E(f879(x8673,x8674,x8671),f879(x8673,x8674,x8672)) % 219.27/219.54 [868]~E(x8681,x8682)+E(f448(x8681,x8683,x8684),f448(x8682,x8683,x8684)) % 219.27/219.54 [869]~E(x8691,x8692)+E(f448(x8693,x8691,x8694),f448(x8693,x8692,x8694)) % 219.27/219.54 [870]~E(x8701,x8702)+E(f448(x8703,x8704,x8701),f448(x8703,x8704,x8702)) % 219.27/219.54 [871]~E(x8711,x8712)+E(f771(x8711,x8713,x8714),f771(x8712,x8713,x8714)) % 219.27/219.54 [872]~E(x8721,x8722)+E(f771(x8723,x8721,x8724),f771(x8723,x8722,x8724)) % 219.27/219.54 [873]~E(x8731,x8732)+E(f771(x8733,x8734,x8731),f771(x8733,x8734,x8732)) % 219.27/219.54 [874]~E(x8741,x8742)+E(f364(x8741,x8743,x8744,x8745,x8746),f364(x8742,x8743,x8744,x8745,x8746)) % 219.27/219.54 [875]~E(x8751,x8752)+E(f364(x8753,x8751,x8754,x8755,x8756),f364(x8753,x8752,x8754,x8755,x8756)) % 219.27/219.54 [876]~E(x8761,x8762)+E(f364(x8763,x8764,x8761,x8765,x8766),f364(x8763,x8764,x8762,x8765,x8766)) % 219.27/219.54 [877]~E(x8771,x8772)+E(f364(x8773,x8774,x8775,x8771,x8776),f364(x8773,x8774,x8775,x8772,x8776)) % 219.27/219.54 [878]~E(x8781,x8782)+E(f364(x8783,x8784,x8785,x8786,x8781),f364(x8783,x8784,x8785,x8786,x8782)) % 219.27/219.54 [879]~E(x8791,x8792)+E(f56(x8791,x8793,x8794),f56(x8792,x8793,x8794)) % 219.27/219.54 [880]~E(x8801,x8802)+E(f56(x8803,x8801,x8804),f56(x8803,x8802,x8804)) % 219.27/219.54 [881]~E(x8811,x8812)+E(f56(x8813,x8814,x8811),f56(x8813,x8814,x8812)) % 219.27/219.54 [882]~E(x8821,x8822)+E(f636(x8821,x8823,x8824,x8825,x8826),f636(x8822,x8823,x8824,x8825,x8826)) % 219.27/219.54 [883]~E(x8831,x8832)+E(f636(x8833,x8831,x8834,x8835,x8836),f636(x8833,x8832,x8834,x8835,x8836)) % 219.27/219.54 [884]~E(x8841,x8842)+E(f636(x8843,x8844,x8841,x8845,x8846),f636(x8843,x8844,x8842,x8845,x8846)) % 219.27/219.54 [885]~E(x8851,x8852)+E(f636(x8853,x8854,x8855,x8851,x8856),f636(x8853,x8854,x8855,x8852,x8856)) % 219.27/219.54 [886]~E(x8861,x8862)+E(f636(x8863,x8864,x8865,x8866,x8861),f636(x8863,x8864,x8865,x8866,x8862)) % 219.27/219.54 [887]~E(x8871,x8872)+E(f909(x8871,x8873,x8874,x8875,x8876),f909(x8872,x8873,x8874,x8875,x8876)) % 219.27/219.54 [888]~E(x8881,x8882)+E(f909(x8883,x8881,x8884,x8885,x8886),f909(x8883,x8882,x8884,x8885,x8886)) % 219.27/219.54 [889]~E(x8891,x8892)+E(f909(x8893,x8894,x8891,x8895,x8896),f909(x8893,x8894,x8892,x8895,x8896)) % 219.27/219.54 [890]~E(x8901,x8902)+E(f909(x8903,x8904,x8905,x8901,x8906),f909(x8903,x8904,x8905,x8902,x8906)) % 219.27/219.54 [891]~E(x8911,x8912)+E(f909(x8913,x8914,x8915,x8916,x8911),f909(x8913,x8914,x8915,x8916,x8912)) % 219.27/219.54 [892]~E(x8921,x8922)+E(f118(x8921,x8923,x8924),f118(x8922,x8923,x8924)) % 219.27/219.54 [893]~E(x8931,x8932)+E(f118(x8933,x8931,x8934),f118(x8933,x8932,x8934)) % 219.27/219.54 [894]~E(x8941,x8942)+E(f118(x8943,x8944,x8941),f118(x8943,x8944,x8942)) % 219.27/219.54 [895]~E(x8951,x8952)+E(f705(x8951,x8953,x8954,x8955),f705(x8952,x8953,x8954,x8955)) % 219.27/219.54 [896]~E(x8961,x8962)+E(f705(x8963,x8961,x8964,x8965),f705(x8963,x8962,x8964,x8965)) % 219.27/219.54 [897]~E(x8971,x8972)+E(f705(x8973,x8974,x8971,x8975),f705(x8973,x8974,x8972,x8975)) % 219.27/219.54 [898]~E(x8981,x8982)+E(f705(x8983,x8984,x8985,x8981),f705(x8983,x8984,x8985,x8982)) % 219.27/219.54 [899]~E(x8991,x8992)+E(f251(x8991,x8993,x8994,x8995),f251(x8992,x8993,x8994,x8995)) % 219.27/219.54 [900]~E(x9001,x9002)+E(f251(x9003,x9001,x9004,x9005),f251(x9003,x9002,x9004,x9005)) % 219.27/219.54 [901]~E(x9011,x9012)+E(f251(x9013,x9014,x9011,x9015),f251(x9013,x9014,x9012,x9015)) % 219.27/219.54 [902]~E(x9021,x9022)+E(f251(x9023,x9024,x9025,x9021),f251(x9023,x9024,x9025,x9022)) % 219.27/219.54 [903]~E(x9031,x9032)+E(f686(x9031,x9033,x9034,x9035),f686(x9032,x9033,x9034,x9035)) % 219.27/219.54 [904]~E(x9041,x9042)+E(f686(x9043,x9041,x9044,x9045),f686(x9043,x9042,x9044,x9045)) % 219.27/219.54 [905]~E(x9051,x9052)+E(f686(x9053,x9054,x9051,x9055),f686(x9053,x9054,x9052,x9055)) % 219.27/219.54 [906]~E(x9061,x9062)+E(f686(x9063,x9064,x9065,x9061),f686(x9063,x9064,x9065,x9062)) % 219.27/219.54 [907]~E(x9071,x9072)+E(f570(x9071,x9073,x9074,x9075),f570(x9072,x9073,x9074,x9075)) % 219.27/219.54 [908]~E(x9081,x9082)+E(f570(x9083,x9081,x9084,x9085),f570(x9083,x9082,x9084,x9085)) % 219.27/219.54 [909]~E(x9091,x9092)+E(f570(x9093,x9094,x9091,x9095),f570(x9093,x9094,x9092,x9095)) % 219.27/219.54 [910]~E(x9101,x9102)+E(f570(x9103,x9104,x9105,x9101),f570(x9103,x9104,x9105,x9102)) % 219.27/219.54 [911]~E(x9111,x9112)+E(f19(x9111,x9113,x9114,x9115),f19(x9112,x9113,x9114,x9115)) % 219.27/219.54 [912]~E(x9121,x9122)+E(f19(x9123,x9121,x9124,x9125),f19(x9123,x9122,x9124,x9125)) % 219.27/219.54 [913]~E(x9131,x9132)+E(f19(x9133,x9134,x9131,x9135),f19(x9133,x9134,x9132,x9135)) % 219.27/219.54 [914]~E(x9141,x9142)+E(f19(x9143,x9144,x9145,x9141),f19(x9143,x9144,x9145,x9142)) % 219.27/219.54 [915]~E(x9151,x9152)+E(f606(x9151,x9153,x9154,x9155,x9156,x9157),f606(x9152,x9153,x9154,x9155,x9156,x9157)) % 219.27/219.54 [916]~E(x9161,x9162)+E(f606(x9163,x9161,x9164,x9165,x9166,x9167),f606(x9163,x9162,x9164,x9165,x9166,x9167)) % 219.27/219.54 [917]~E(x9171,x9172)+E(f606(x9173,x9174,x9171,x9175,x9176,x9177),f606(x9173,x9174,x9172,x9175,x9176,x9177)) % 219.27/219.54 [918]~E(x9181,x9182)+E(f606(x9183,x9184,x9185,x9181,x9186,x9187),f606(x9183,x9184,x9185,x9182,x9186,x9187)) % 219.27/219.54 [919]~E(x9191,x9192)+E(f606(x9193,x9194,x9195,x9196,x9191,x9197),f606(x9193,x9194,x9195,x9196,x9192,x9197)) % 219.27/219.54 [920]~E(x9201,x9202)+E(f606(x9203,x9204,x9205,x9206,x9207,x9201),f606(x9203,x9204,x9205,x9206,x9207,x9202)) % 219.27/219.54 [921]~E(x9211,x9212)+E(f184(x9211,x9213),f184(x9212,x9213)) % 219.27/219.54 [922]~E(x9221,x9222)+E(f184(x9223,x9221),f184(x9223,x9222)) % 219.27/219.54 [923]~E(x9231,x9232)+E(f805(x9231,x9233,x9234,x9235),f805(x9232,x9233,x9234,x9235)) % 219.27/219.54 [924]~E(x9241,x9242)+E(f805(x9243,x9241,x9244,x9245),f805(x9243,x9242,x9244,x9245)) % 219.27/219.54 [925]~E(x9251,x9252)+E(f805(x9253,x9254,x9251,x9255),f805(x9253,x9254,x9252,x9255)) % 219.27/219.54 [926]~E(x9261,x9262)+E(f805(x9263,x9264,x9265,x9261),f805(x9263,x9264,x9265,x9262)) % 219.27/219.54 [927]~E(x9271,x9272)+E(f113(x9271,x9273),f113(x9272,x9273)) % 219.27/219.54 [928]~E(x9281,x9282)+E(f113(x9283,x9281),f113(x9283,x9282)) % 219.27/219.54 [929]~E(x9291,x9292)+E(f520(x9291,x9293,x9294),f520(x9292,x9293,x9294)) % 219.27/219.54 [930]~E(x9301,x9302)+E(f520(x9303,x9301,x9304),f520(x9303,x9302,x9304)) % 219.27/219.54 [931]~E(x9311,x9312)+E(f520(x9313,x9314,x9311),f520(x9313,x9314,x9312)) % 219.27/219.54 [932]~E(x9321,x9322)+E(f714(x9321,x9323,x9324),f714(x9322,x9323,x9324)) % 219.27/219.54 [933]~E(x9331,x9332)+E(f714(x9333,x9331,x9334),f714(x9333,x9332,x9334)) % 219.27/219.54 [934]~E(x9341,x9342)+E(f714(x9343,x9344,x9341),f714(x9343,x9344,x9342)) % 219.27/219.54 [935]~E(x9351,x9352)+E(f207(x9351,x9353),f207(x9352,x9353)) % 219.27/219.54 [936]~E(x9361,x9362)+E(f207(x9363,x9361),f207(x9363,x9362)) % 219.27/219.54 [937]~E(x9371,x9372)+E(f204(x9371),f204(x9372)) % 219.27/219.54 [938]~E(x9381,x9382)+E(f849(x9381,x9383,x9384,x9385,x9386,x9387,x9388,x9389),f849(x9382,x9383,x9384,x9385,x9386,x9387,x9388,x9389)) % 219.27/219.54 [939]~E(x9391,x9392)+E(f849(x9393,x9391,x9394,x9395,x9396,x9397,x9398,x9399),f849(x9393,x9392,x9394,x9395,x9396,x9397,x9398,x9399)) % 219.27/219.54 [940]~E(x9401,x9402)+E(f849(x9403,x9404,x9401,x9405,x9406,x9407,x9408,x9409),f849(x9403,x9404,x9402,x9405,x9406,x9407,x9408,x9409)) % 219.27/219.54 [941]~E(x9411,x9412)+E(f849(x9413,x9414,x9415,x9411,x9416,x9417,x9418,x9419),f849(x9413,x9414,x9415,x9412,x9416,x9417,x9418,x9419)) % 219.27/219.54 [942]~E(x9421,x9422)+E(f849(x9423,x9424,x9425,x9426,x9421,x9427,x9428,x9429),f849(x9423,x9424,x9425,x9426,x9422,x9427,x9428,x9429)) % 219.27/219.54 [943]~E(x9431,x9432)+E(f849(x9433,x9434,x9435,x9436,x9437,x9431,x9438,x9439),f849(x9433,x9434,x9435,x9436,x9437,x9432,x9438,x9439)) % 219.27/219.54 [944]~E(x9441,x9442)+E(f849(x9443,x9444,x9445,x9446,x9447,x9448,x9441,x9449),f849(x9443,x9444,x9445,x9446,x9447,x9448,x9442,x9449)) % 219.27/219.54 [945]~E(x9451,x9452)+E(f849(x9453,x9454,x9455,x9456,x9457,x9458,x9459,x9451),f849(x9453,x9454,x9455,x9456,x9457,x9458,x9459,x9452)) % 219.27/219.54 [946]~E(x9461,x9462)+E(f731(x9461,x9463),f731(x9462,x9463)) % 219.27/219.54 [947]~E(x9471,x9472)+E(f731(x9473,x9471),f731(x9473,x9472)) % 219.27/219.54 [948]~E(x9481,x9482)+E(f108(x9481,x9483,x9484),f108(x9482,x9483,x9484)) % 219.27/219.54 [949]~E(x9491,x9492)+E(f108(x9493,x9491,x9494),f108(x9493,x9492,x9494)) % 219.27/219.54 [950]~E(x9501,x9502)+E(f108(x9503,x9504,x9501),f108(x9503,x9504,x9502)) % 219.27/219.54 [951]~E(x9511,x9512)+E(f631(x9511,x9513,x9514),f631(x9512,x9513,x9514)) % 219.27/219.54 [952]~E(x9521,x9522)+E(f631(x9523,x9521,x9524),f631(x9523,x9522,x9524)) % 219.27/219.54 [953]~E(x9531,x9532)+E(f631(x9533,x9534,x9531),f631(x9533,x9534,x9532)) % 219.27/219.54 [954]~E(x9541,x9542)+E(f247(x9541,x9543,x9544,x9545),f247(x9542,x9543,x9544,x9545)) % 219.27/219.54 [955]~E(x9551,x9552)+E(f247(x9553,x9551,x9554,x9555),f247(x9553,x9552,x9554,x9555)) % 219.27/219.54 [956]~E(x9561,x9562)+E(f247(x9563,x9564,x9561,x9565),f247(x9563,x9564,x9562,x9565)) % 219.27/219.54 [957]~E(x9571,x9572)+E(f247(x9573,x9574,x9575,x9571),f247(x9573,x9574,x9575,x9572)) % 219.27/219.54 [958]~E(x9581,x9582)+E(f37(x9581),f37(x9582)) % 219.27/219.54 [959]~E(x9591,x9592)+E(f178(x9591),f178(x9592)) % 219.27/219.54 [960]~E(x9601,x9602)+E(f855(x9601,x9603,x9604,x9605,x9606,x9607,x9608,x9609),f855(x9602,x9603,x9604,x9605,x9606,x9607,x9608,x9609)) % 219.27/219.54 [961]~E(x9611,x9612)+E(f855(x9613,x9611,x9614,x9615,x9616,x9617,x9618,x9619),f855(x9613,x9612,x9614,x9615,x9616,x9617,x9618,x9619)) % 219.27/219.54 [962]~E(x9621,x9622)+E(f855(x9623,x9624,x9621,x9625,x9626,x9627,x9628,x9629),f855(x9623,x9624,x9622,x9625,x9626,x9627,x9628,x9629)) % 219.27/219.54 [963]~E(x9631,x9632)+E(f855(x9633,x9634,x9635,x9631,x9636,x9637,x9638,x9639),f855(x9633,x9634,x9635,x9632,x9636,x9637,x9638,x9639)) % 219.27/219.54 [964]~E(x9641,x9642)+E(f855(x9643,x9644,x9645,x9646,x9641,x9647,x9648,x9649),f855(x9643,x9644,x9645,x9646,x9642,x9647,x9648,x9649)) % 219.27/219.54 [965]~E(x9651,x9652)+E(f855(x9653,x9654,x9655,x9656,x9657,x9651,x9658,x9659),f855(x9653,x9654,x9655,x9656,x9657,x9652,x9658,x9659)) % 219.27/219.54 [966]~E(x9661,x9662)+E(f855(x9663,x9664,x9665,x9666,x9667,x9668,x9661,x9669),f855(x9663,x9664,x9665,x9666,x9667,x9668,x9662,x9669)) % 219.27/219.54 [967]~E(x9671,x9672)+E(f855(x9673,x9674,x9675,x9676,x9677,x9678,x9679,x9671),f855(x9673,x9674,x9675,x9676,x9677,x9678,x9679,x9672)) % 219.27/219.54 [968]~E(x9681,x9682)+E(f120(x9681,x9683),f120(x9682,x9683)) % 219.27/219.54 [969]~E(x9691,x9692)+E(f120(x9693,x9691),f120(x9693,x9692)) % 219.27/219.54 [970]~E(x9701,x9702)+E(f626(x9701,x9703,x9704),f626(x9702,x9703,x9704)) % 219.27/219.54 [971]~E(x9711,x9712)+E(f626(x9713,x9711,x9714),f626(x9713,x9712,x9714)) % 219.27/219.54 [972]~E(x9721,x9722)+E(f626(x9723,x9724,x9721),f626(x9723,x9724,x9722)) % 219.27/219.54 [973]~E(x9731,x9732)+E(f155(x9731,x9733,x9734,x9735),f155(x9732,x9733,x9734,x9735)) % 219.27/219.54 [974]~E(x9741,x9742)+E(f155(x9743,x9741,x9744,x9745),f155(x9743,x9742,x9744,x9745)) % 219.27/219.54 [975]~E(x9751,x9752)+E(f155(x9753,x9754,x9751,x9755),f155(x9753,x9754,x9752,x9755)) % 219.27/219.54 [976]~E(x9761,x9762)+E(f155(x9763,x9764,x9765,x9761),f155(x9763,x9764,x9765,x9762)) % 219.27/219.54 [977]~E(x9771,x9772)+E(f535(x9771,x9773,x9774),f535(x9772,x9773,x9774)) % 219.27/219.54 [978]~E(x9781,x9782)+E(f535(x9783,x9781,x9784),f535(x9783,x9782,x9784)) % 219.27/219.54 [979]~E(x9791,x9792)+E(f535(x9793,x9794,x9791),f535(x9793,x9794,x9792)) % 219.27/219.54 [980]~E(x9801,x9802)+E(f821(x9801,x9803),f821(x9802,x9803)) % 219.27/219.54 [981]~E(x9811,x9812)+E(f821(x9813,x9811),f821(x9813,x9812)) % 219.27/219.54 [982]~E(x9821,x9822)+E(f377(x9821,x9823,x9824),f377(x9822,x9823,x9824)) % 219.27/219.54 [983]~E(x9831,x9832)+E(f377(x9833,x9831,x9834),f377(x9833,x9832,x9834)) % 219.27/219.54 [984]~E(x9841,x9842)+E(f377(x9843,x9844,x9841),f377(x9843,x9844,x9842)) % 219.27/219.54 [985]~E(x9851,x9852)+E(f598(x9851,x9853,x9854),f598(x9852,x9853,x9854)) % 219.27/219.54 [986]~E(x9861,x9862)+E(f598(x9863,x9861,x9864),f598(x9863,x9862,x9864)) % 219.27/219.54 [987]~E(x9871,x9872)+E(f598(x9873,x9874,x9871),f598(x9873,x9874,x9872)) % 219.27/219.54 [988]~E(x9881,x9882)+E(f413(x9881,x9883,x9884,x9885,x9886,x9887),f413(x9882,x9883,x9884,x9885,x9886,x9887)) % 219.27/219.54 [989]~E(x9891,x9892)+E(f413(x9893,x9891,x9894,x9895,x9896,x9897),f413(x9893,x9892,x9894,x9895,x9896,x9897)) % 219.27/219.54 [990]~E(x9901,x9902)+E(f413(x9903,x9904,x9901,x9905,x9906,x9907),f413(x9903,x9904,x9902,x9905,x9906,x9907)) % 219.27/219.54 [991]~E(x9911,x9912)+E(f413(x9913,x9914,x9915,x9911,x9916,x9917),f413(x9913,x9914,x9915,x9912,x9916,x9917)) % 219.27/219.54 [992]~E(x9921,x9922)+E(f413(x9923,x9924,x9925,x9926,x9921,x9927),f413(x9923,x9924,x9925,x9926,x9922,x9927)) % 219.27/219.54 [993]~E(x9931,x9932)+E(f413(x9933,x9934,x9935,x9936,x9937,x9931),f413(x9933,x9934,x9935,x9936,x9937,x9932)) % 219.27/219.54 [994]~E(x9941,x9942)+E(f608(x9941,x9943),f608(x9942,x9943)) % 219.27/219.54 [995]~E(x9951,x9952)+E(f608(x9953,x9951),f608(x9953,x9952)) % 219.27/219.54 [996]~E(x9961,x9962)+E(f501(x9961,x9963,x9964),f501(x9962,x9963,x9964)) % 219.27/219.54 [997]~E(x9971,x9972)+E(f501(x9973,x9971,x9974),f501(x9973,x9972,x9974)) % 219.27/219.54 [998]~E(x9981,x9982)+E(f501(x9983,x9984,x9981),f501(x9983,x9984,x9982)) % 219.27/219.54 [999]~E(x9991,x9992)+E(f806(x9991,x9993,x9994,x9995,x9996),f806(x9992,x9993,x9994,x9995,x9996)) % 219.27/219.54 [1000]~E(x10001,x10002)+E(f806(x10003,x10001,x10004,x10005,x10006),f806(x10003,x10002,x10004,x10005,x10006)) % 219.27/219.54 [1001]~E(x10011,x10012)+E(f806(x10013,x10014,x10011,x10015,x10016),f806(x10013,x10014,x10012,x10015,x10016)) % 219.27/219.54 [1002]~E(x10021,x10022)+E(f806(x10023,x10024,x10025,x10021,x10026),f806(x10023,x10024,x10025,x10022,x10026)) % 219.27/219.54 [1003]~E(x10031,x10032)+E(f806(x10033,x10034,x10035,x10036,x10031),f806(x10033,x10034,x10035,x10036,x10032)) % 219.27/219.54 [1004]~E(x10041,x10042)+E(f613(x10041,x10043,x10044),f613(x10042,x10043,x10044)) % 219.27/219.54 [1005]~E(x10051,x10052)+E(f613(x10053,x10051,x10054),f613(x10053,x10052,x10054)) % 219.27/219.54 [1006]~E(x10061,x10062)+E(f613(x10063,x10064,x10061),f613(x10063,x10064,x10062)) % 219.27/219.54 [1007]~E(x10071,x10072)+E(f862(x10071,x10073,x10074,x10075,x10076,x10077,x10078,x10079),f862(x10072,x10073,x10074,x10075,x10076,x10077,x10078,x10079)) % 219.27/219.54 [1008]~E(x10081,x10082)+E(f862(x10083,x10081,x10084,x10085,x10086,x10087,x10088,x10089),f862(x10083,x10082,x10084,x10085,x10086,x10087,x10088,x10089)) % 219.27/219.54 [1009]~E(x10091,x10092)+E(f862(x10093,x10094,x10091,x10095,x10096,x10097,x10098,x10099),f862(x10093,x10094,x10092,x10095,x10096,x10097,x10098,x10099)) % 219.27/219.54 [1010]~E(x10101,x10102)+E(f862(x10103,x10104,x10105,x10101,x10106,x10107,x10108,x10109),f862(x10103,x10104,x10105,x10102,x10106,x10107,x10108,x10109)) % 219.27/219.54 [1011]~E(x10111,x10112)+E(f862(x10113,x10114,x10115,x10116,x10111,x10117,x10118,x10119),f862(x10113,x10114,x10115,x10116,x10112,x10117,x10118,x10119)) % 219.27/219.54 [1012]~E(x10121,x10122)+E(f862(x10123,x10124,x10125,x10126,x10127,x10121,x10128,x10129),f862(x10123,x10124,x10125,x10126,x10127,x10122,x10128,x10129)) % 219.27/219.54 [1013]~E(x10131,x10132)+E(f862(x10133,x10134,x10135,x10136,x10137,x10138,x10131,x10139),f862(x10133,x10134,x10135,x10136,x10137,x10138,x10132,x10139)) % 219.27/219.54 [1014]~E(x10141,x10142)+E(f862(x10143,x10144,x10145,x10146,x10147,x10148,x10149,x10141),f862(x10143,x10144,x10145,x10146,x10147,x10148,x10149,x10142)) % 219.27/219.54 [1015]~E(x10151,x10152)+E(f521(x10151,x10153,x10154,x10155),f521(x10152,x10153,x10154,x10155)) % 219.27/219.54 [1016]~E(x10161,x10162)+E(f521(x10163,x10161,x10164,x10165),f521(x10163,x10162,x10164,x10165)) % 219.27/219.54 [1017]~E(x10171,x10172)+E(f521(x10173,x10174,x10171,x10175),f521(x10173,x10174,x10172,x10175)) % 219.27/219.54 [1018]~E(x10181,x10182)+E(f521(x10183,x10184,x10185,x10181),f521(x10183,x10184,x10185,x10182)) % 219.27/219.54 [1019]~E(x10191,x10192)+E(f853(x10191,x10193,x10194,x10195,x10196,x10197,x10198,x10199),f853(x10192,x10193,x10194,x10195,x10196,x10197,x10198,x10199)) % 219.27/219.54 [1020]~E(x10201,x10202)+E(f853(x10203,x10201,x10204,x10205,x10206,x10207,x10208,x10209),f853(x10203,x10202,x10204,x10205,x10206,x10207,x10208,x10209)) % 219.27/219.54 [1021]~E(x10211,x10212)+E(f853(x10213,x10214,x10211,x10215,x10216,x10217,x10218,x10219),f853(x10213,x10214,x10212,x10215,x10216,x10217,x10218,x10219)) % 219.27/219.54 [1022]~E(x10221,x10222)+E(f853(x10223,x10224,x10225,x10221,x10226,x10227,x10228,x10229),f853(x10223,x10224,x10225,x10222,x10226,x10227,x10228,x10229)) % 219.27/219.54 [1023]~E(x10231,x10232)+E(f853(x10233,x10234,x10235,x10236,x10231,x10237,x10238,x10239),f853(x10233,x10234,x10235,x10236,x10232,x10237,x10238,x10239)) % 219.27/219.54 [1024]~E(x10241,x10242)+E(f853(x10243,x10244,x10245,x10246,x10247,x10241,x10248,x10249),f853(x10243,x10244,x10245,x10246,x10247,x10242,x10248,x10249)) % 219.27/219.54 [1025]~E(x10251,x10252)+E(f853(x10253,x10254,x10255,x10256,x10257,x10258,x10251,x10259),f853(x10253,x10254,x10255,x10256,x10257,x10258,x10252,x10259)) % 219.27/219.54 [1026]~E(x10261,x10262)+E(f853(x10263,x10264,x10265,x10266,x10267,x10268,x10269,x10261),f853(x10263,x10264,x10265,x10266,x10267,x10268,x10269,x10262)) % 219.27/219.54 [1027]~E(x10271,x10272)+E(f803(x10271,x10273,x10274,x10275),f803(x10272,x10273,x10274,x10275)) % 219.27/219.54 [1028]~E(x10281,x10282)+E(f803(x10283,x10281,x10284,x10285),f803(x10283,x10282,x10284,x10285)) % 219.27/219.54 [1029]~E(x10291,x10292)+E(f803(x10293,x10294,x10291,x10295),f803(x10293,x10294,x10292,x10295)) % 219.27/219.54 [1030]~E(x10301,x10302)+E(f803(x10303,x10304,x10305,x10301),f803(x10303,x10304,x10305,x10302)) % 219.27/219.54 [1031]~E(x10311,x10312)+E(f791(x10311,x10313,x10314,x10315),f791(x10312,x10313,x10314,x10315)) % 219.27/219.54 [1032]~E(x10321,x10322)+E(f791(x10323,x10321,x10324,x10325),f791(x10323,x10322,x10324,x10325)) % 219.27/219.55 [1033]~E(x10331,x10332)+E(f791(x10333,x10334,x10331,x10335),f791(x10333,x10334,x10332,x10335)) % 219.27/219.55 [1034]~E(x10341,x10342)+E(f791(x10343,x10344,x10345,x10341),f791(x10343,x10344,x10345,x10342)) % 219.27/219.55 [1035]~E(x10351,x10352)+E(f260(x10351,x10353),f260(x10352,x10353)) % 219.27/219.55 [1036]~E(x10361,x10362)+E(f260(x10363,x10361),f260(x10363,x10362)) % 219.27/219.55 [1037]~E(x10371,x10372)+E(f148(x10371,x10373,x10374,x10375),f148(x10372,x10373,x10374,x10375)) % 219.27/219.55 [1038]~E(x10381,x10382)+E(f148(x10383,x10381,x10384,x10385),f148(x10383,x10382,x10384,x10385)) % 219.27/219.55 [1039]~E(x10391,x10392)+E(f148(x10393,x10394,x10391,x10395),f148(x10393,x10394,x10392,x10395)) % 219.27/219.55 [1040]~E(x10401,x10402)+E(f148(x10403,x10404,x10405,x10401),f148(x10403,x10404,x10405,x10402)) % 219.27/219.55 [1041]~E(x10411,x10412)+E(f688(x10411,x10413),f688(x10412,x10413)) % 219.27/219.55 [1042]~E(x10421,x10422)+E(f688(x10423,x10421),f688(x10423,x10422)) % 219.27/219.55 [1043]~E(x10431,x10432)+E(f379(x10431,x10433),f379(x10432,x10433)) % 219.27/219.55 [1044]~E(x10441,x10442)+E(f379(x10443,x10441),f379(x10443,x10442)) % 219.27/219.55 [1045]~E(x10451,x10452)+E(f262(x10451,x10453),f262(x10452,x10453)) % 219.27/219.55 [1046]~E(x10461,x10462)+E(f262(x10463,x10461),f262(x10463,x10462)) % 219.27/219.55 [1047]~E(x10471,x10472)+E(f583(x10471,x10473,x10474),f583(x10472,x10473,x10474)) % 219.27/219.55 [1048]~E(x10481,x10482)+E(f583(x10483,x10481,x10484),f583(x10483,x10482,x10484)) % 219.27/219.55 [1049]~E(x10491,x10492)+E(f583(x10493,x10494,x10491),f583(x10493,x10494,x10492)) % 219.27/219.55 [1050]~E(x10501,x10502)+E(f222(x10501,x10503,x10504),f222(x10502,x10503,x10504)) % 219.27/219.55 [1051]~E(x10511,x10512)+E(f222(x10513,x10511,x10514),f222(x10513,x10512,x10514)) % 219.27/219.55 [1052]~E(x10521,x10522)+E(f222(x10523,x10524,x10521),f222(x10523,x10524,x10522)) % 219.27/219.55 [1053]~E(x10531,x10532)+E(f188(x10531,x10533,x10534,x10535),f188(x10532,x10533,x10534,x10535)) % 219.27/219.55 [1054]~E(x10541,x10542)+E(f188(x10543,x10541,x10544,x10545),f188(x10543,x10542,x10544,x10545)) % 219.27/219.55 [1055]~E(x10551,x10552)+E(f188(x10553,x10554,x10551,x10555),f188(x10553,x10554,x10552,x10555)) % 219.27/219.55 [1056]~E(x10561,x10562)+E(f188(x10563,x10564,x10565,x10561),f188(x10563,x10564,x10565,x10562)) % 219.27/219.55 [1057]~E(x10571,x10572)+E(f70(x10571,x10573,x10574,x10575,x10576),f70(x10572,x10573,x10574,x10575,x10576)) % 219.27/219.55 [1058]~E(x10581,x10582)+E(f70(x10583,x10581,x10584,x10585,x10586),f70(x10583,x10582,x10584,x10585,x10586)) % 219.27/219.55 [1059]~E(x10591,x10592)+E(f70(x10593,x10594,x10591,x10595,x10596),f70(x10593,x10594,x10592,x10595,x10596)) % 219.27/219.55 [1060]~E(x10601,x10602)+E(f70(x10603,x10604,x10605,x10601,x10606),f70(x10603,x10604,x10605,x10602,x10606)) % 219.27/219.55 [1061]~E(x10611,x10612)+E(f70(x10613,x10614,x10615,x10616,x10611),f70(x10613,x10614,x10615,x10616,x10612)) % 219.27/219.55 [1062]~E(x10621,x10622)+E(f463(x10621,x10623,x10624,x10625),f463(x10622,x10623,x10624,x10625)) % 219.27/219.55 [1063]~E(x10631,x10632)+E(f463(x10633,x10631,x10634,x10635),f463(x10633,x10632,x10634,x10635)) % 219.27/219.55 [1064]~E(x10641,x10642)+E(f463(x10643,x10644,x10641,x10645),f463(x10643,x10644,x10642,x10645)) % 219.27/219.55 [1065]~E(x10651,x10652)+E(f463(x10653,x10654,x10655,x10651),f463(x10653,x10654,x10655,x10652)) % 219.27/219.55 [1066]~E(x10661,x10662)+E(f873(x10661,x10663,x10664),f873(x10662,x10663,x10664)) % 219.27/219.55 [1067]~E(x10671,x10672)+E(f873(x10673,x10671,x10674),f873(x10673,x10672,x10674)) % 219.27/219.55 [1068]~E(x10681,x10682)+E(f873(x10683,x10684,x10681),f873(x10683,x10684,x10682)) % 219.27/219.55 [1069]~E(x10691,x10692)+E(f625(x10691,x10693,x10694),f625(x10692,x10693,x10694)) % 219.27/219.55 [1070]~E(x10701,x10702)+E(f625(x10703,x10701,x10704),f625(x10703,x10702,x10704)) % 219.27/219.55 [1071]~E(x10711,x10712)+E(f625(x10713,x10714,x10711),f625(x10713,x10714,x10712)) % 219.27/219.55 [1072]~E(x10721,x10722)+E(f567(x10721,x10723,x10724,x10725),f567(x10722,x10723,x10724,x10725)) % 219.27/219.55 [1073]~E(x10731,x10732)+E(f567(x10733,x10731,x10734,x10735),f567(x10733,x10732,x10734,x10735)) % 219.27/219.55 [1074]~E(x10741,x10742)+E(f567(x10743,x10744,x10741,x10745),f567(x10743,x10744,x10742,x10745)) % 219.27/219.55 [1075]~E(x10751,x10752)+E(f567(x10753,x10754,x10755,x10751),f567(x10753,x10754,x10755,x10752)) % 219.27/219.55 [1076]~E(x10761,x10762)+E(f630(x10761,x10763,x10764),f630(x10762,x10763,x10764)) % 219.27/219.55 [1077]~E(x10771,x10772)+E(f630(x10773,x10771,x10774),f630(x10773,x10772,x10774)) % 219.27/219.55 [1078]~E(x10781,x10782)+E(f630(x10783,x10784,x10781),f630(x10783,x10784,x10782)) % 219.27/219.55 [1079]~E(x10791,x10792)+E(f799(x10791,x10793,x10794,x10795),f799(x10792,x10793,x10794,x10795)) % 219.27/219.55 [1080]~E(x10801,x10802)+E(f799(x10803,x10801,x10804,x10805),f799(x10803,x10802,x10804,x10805)) % 219.27/219.55 [1081]~E(x10811,x10812)+E(f799(x10813,x10814,x10811,x10815),f799(x10813,x10814,x10812,x10815)) % 219.27/219.55 [1082]~E(x10821,x10822)+E(f799(x10823,x10824,x10825,x10821),f799(x10823,x10824,x10825,x10822)) % 219.27/219.55 [1083]~E(x10831,x10832)+E(f750(x10831,x10833),f750(x10832,x10833)) % 219.27/219.55 [1084]~E(x10841,x10842)+E(f750(x10843,x10841),f750(x10843,x10842)) % 219.27/219.55 [1085]~E(x10851,x10852)+E(f398(x10851,x10853,x10854,x10855),f398(x10852,x10853,x10854,x10855)) % 219.27/219.55 [1086]~E(x10861,x10862)+E(f398(x10863,x10861,x10864,x10865),f398(x10863,x10862,x10864,x10865)) % 219.27/219.55 [1087]~E(x10871,x10872)+E(f398(x10873,x10874,x10871,x10875),f398(x10873,x10874,x10872,x10875)) % 219.27/219.55 [1088]~E(x10881,x10882)+E(f398(x10883,x10884,x10885,x10881),f398(x10883,x10884,x10885,x10882)) % 219.27/219.55 [1089]~E(x10891,x10892)+E(f147(x10891,x10893,x10894),f147(x10892,x10893,x10894)) % 219.27/219.55 [1090]~E(x10901,x10902)+E(f147(x10903,x10901,x10904),f147(x10903,x10902,x10904)) % 219.27/219.55 [1091]~E(x10911,x10912)+E(f147(x10913,x10914,x10911),f147(x10913,x10914,x10912)) % 219.27/219.55 [1092]~E(x10921,x10922)+E(f292(x10921,x10923,x10924,x10925,x10926),f292(x10922,x10923,x10924,x10925,x10926)) % 219.27/219.55 [1093]~E(x10931,x10932)+E(f292(x10933,x10931,x10934,x10935,x10936),f292(x10933,x10932,x10934,x10935,x10936)) % 219.27/219.55 [1094]~E(x10941,x10942)+E(f292(x10943,x10944,x10941,x10945,x10946),f292(x10943,x10944,x10942,x10945,x10946)) % 219.27/219.55 [1095]~E(x10951,x10952)+E(f292(x10953,x10954,x10955,x10951,x10956),f292(x10953,x10954,x10955,x10952,x10956)) % 219.27/219.55 [1096]~E(x10961,x10962)+E(f292(x10963,x10964,x10965,x10966,x10961),f292(x10963,x10964,x10965,x10966,x10962)) % 219.27/219.55 [1097]~E(x10971,x10972)+E(f177(x10971,x10973,x10974,x10975),f177(x10972,x10973,x10974,x10975)) % 219.27/219.55 [1098]~E(x10981,x10982)+E(f177(x10983,x10981,x10984,x10985),f177(x10983,x10982,x10984,x10985)) % 219.27/219.55 [1099]~E(x10991,x10992)+E(f177(x10993,x10994,x10991,x10995),f177(x10993,x10994,x10992,x10995)) % 219.27/219.55 [1100]~E(x11001,x11002)+E(f177(x11003,x11004,x11005,x11001),f177(x11003,x11004,x11005,x11002)) % 219.27/219.55 [1101]~E(x11011,x11012)+E(f342(x11011,x11013,x11014,x11015,x11016),f342(x11012,x11013,x11014,x11015,x11016)) % 219.27/219.55 [1102]~E(x11021,x11022)+E(f342(x11023,x11021,x11024,x11025,x11026),f342(x11023,x11022,x11024,x11025,x11026)) % 219.27/219.55 [1103]~E(x11031,x11032)+E(f342(x11033,x11034,x11031,x11035,x11036),f342(x11033,x11034,x11032,x11035,x11036)) % 219.27/219.55 [1104]~E(x11041,x11042)+E(f342(x11043,x11044,x11045,x11041,x11046),f342(x11043,x11044,x11045,x11042,x11046)) % 219.27/219.55 [1105]~E(x11051,x11052)+E(f342(x11053,x11054,x11055,x11056,x11051),f342(x11053,x11054,x11055,x11056,x11052)) % 219.27/219.55 [1106]~E(x11061,x11062)+E(f843(x11061,x11063,x11064),f843(x11062,x11063,x11064)) % 219.27/219.55 [1107]~E(x11071,x11072)+E(f843(x11073,x11071,x11074),f843(x11073,x11072,x11074)) % 219.27/219.55 [1108]~E(x11081,x11082)+E(f843(x11083,x11084,x11081),f843(x11083,x11084,x11082)) % 219.27/219.55 [1109]~E(x11091,x11092)+E(f438(x11091),f438(x11092)) % 219.27/219.55 [1110]~E(x11101,x11102)+E(f512(x11101,x11103,x11104),f512(x11102,x11103,x11104)) % 219.27/219.55 [1111]~E(x11111,x11112)+E(f512(x11113,x11111,x11114),f512(x11113,x11112,x11114)) % 219.27/219.55 [1112]~E(x11121,x11122)+E(f512(x11123,x11124,x11121),f512(x11123,x11124,x11122)) % 219.27/219.55 [1113]~E(x11131,x11132)+E(f611(x11131,x11133,x11134),f611(x11132,x11133,x11134)) % 219.27/219.55 [1114]~E(x11141,x11142)+E(f611(x11143,x11141,x11144),f611(x11143,x11142,x11144)) % 219.27/219.55 [1115]~E(x11151,x11152)+E(f611(x11153,x11154,x11151),f611(x11153,x11154,x11152)) % 219.27/219.55 [1116]~E(x11161,x11162)+E(f498(x11161,x11163,x11164),f498(x11162,x11163,x11164)) % 219.27/219.55 [1117]~E(x11171,x11172)+E(f498(x11173,x11171,x11174),f498(x11173,x11172,x11174)) % 219.27/219.55 [1118]~E(x11181,x11182)+E(f498(x11183,x11184,x11181),f498(x11183,x11184,x11182)) % 219.27/219.55 [1119]~E(x11191,x11192)+E(f730(x11191,x11193),f730(x11192,x11193)) % 219.27/219.55 [1120]~E(x11201,x11202)+E(f730(x11203,x11201),f730(x11203,x11202)) % 219.27/219.55 [1121]~E(x11211,x11212)+E(f767(x11211,x11213,x11214,x11215,x11216),f767(x11212,x11213,x11214,x11215,x11216)) % 219.27/219.55 [1122]~E(x11221,x11222)+E(f767(x11223,x11221,x11224,x11225,x11226),f767(x11223,x11222,x11224,x11225,x11226)) % 219.27/219.55 [1123]~E(x11231,x11232)+E(f767(x11233,x11234,x11231,x11235,x11236),f767(x11233,x11234,x11232,x11235,x11236)) % 219.27/219.55 [1124]~E(x11241,x11242)+E(f767(x11243,x11244,x11245,x11241,x11246),f767(x11243,x11244,x11245,x11242,x11246)) % 219.27/219.55 [1125]~E(x11251,x11252)+E(f767(x11253,x11254,x11255,x11256,x11251),f767(x11253,x11254,x11255,x11256,x11252)) % 219.27/219.55 [1126]~E(x11261,x11262)+E(f304(x11261,x11263),f304(x11262,x11263)) % 219.27/219.55 [1127]~E(x11271,x11272)+E(f304(x11273,x11271),f304(x11273,x11272)) % 219.27/219.55 [1128]~E(x11281,x11282)+E(f844(x11281,x11283,x11284),f844(x11282,x11283,x11284)) % 219.27/219.55 [1129]~E(x11291,x11292)+E(f844(x11293,x11291,x11294),f844(x11293,x11292,x11294)) % 219.27/219.55 [1130]~E(x11301,x11302)+E(f844(x11303,x11304,x11301),f844(x11303,x11304,x11302)) % 219.27/219.55 [1131]~E(x11311,x11312)+E(f410(x11311,x11313,x11314,x11315,x11316),f410(x11312,x11313,x11314,x11315,x11316)) % 219.27/219.55 [1132]~E(x11321,x11322)+E(f410(x11323,x11321,x11324,x11325,x11326),f410(x11323,x11322,x11324,x11325,x11326)) % 219.27/219.55 [1133]~E(x11331,x11332)+E(f410(x11333,x11334,x11331,x11335,x11336),f410(x11333,x11334,x11332,x11335,x11336)) % 219.27/219.55 [1134]~E(x11341,x11342)+E(f410(x11343,x11344,x11345,x11341,x11346),f410(x11343,x11344,x11345,x11342,x11346)) % 219.27/219.55 [1135]~E(x11351,x11352)+E(f410(x11353,x11354,x11355,x11356,x11351),f410(x11353,x11354,x11355,x11356,x11352)) % 219.27/219.55 [1136]~E(x11361,x11362)+E(f114(x11361,x11363,x11364,x11365),f114(x11362,x11363,x11364,x11365)) % 219.27/219.55 [1137]~E(x11371,x11372)+E(f114(x11373,x11371,x11374,x11375),f114(x11373,x11372,x11374,x11375)) % 219.27/219.55 [1138]~E(x11381,x11382)+E(f114(x11383,x11384,x11381,x11385),f114(x11383,x11384,x11382,x11385)) % 219.27/219.55 [1139]~E(x11391,x11392)+E(f114(x11393,x11394,x11395,x11391),f114(x11393,x11394,x11395,x11392)) % 219.27/219.55 [1140]~E(x11401,x11402)+E(f264(x11401,x11403),f264(x11402,x11403)) % 219.27/219.55 [1141]~E(x11411,x11412)+E(f264(x11413,x11411),f264(x11413,x11412)) % 219.27/219.55 [1142]~E(x11421,x11422)+E(f601(x11421,x11423,x11424,x11425),f601(x11422,x11423,x11424,x11425)) % 219.27/219.55 [1143]~E(x11431,x11432)+E(f601(x11433,x11431,x11434,x11435),f601(x11433,x11432,x11434,x11435)) % 219.27/219.55 [1144]~E(x11441,x11442)+E(f601(x11443,x11444,x11441,x11445),f601(x11443,x11444,x11442,x11445)) % 219.27/219.55 [1145]~E(x11451,x11452)+E(f601(x11453,x11454,x11455,x11451),f601(x11453,x11454,x11455,x11452)) % 219.27/219.55 [1146]~E(x11461,x11462)+E(f809(x11461,x11463,x11464,x11465,x11466,x11467,x11468),f809(x11462,x11463,x11464,x11465,x11466,x11467,x11468)) % 219.27/219.55 [1147]~E(x11471,x11472)+E(f809(x11473,x11471,x11474,x11475,x11476,x11477,x11478),f809(x11473,x11472,x11474,x11475,x11476,x11477,x11478)) % 219.27/219.55 [1148]~E(x11481,x11482)+E(f809(x11483,x11484,x11481,x11485,x11486,x11487,x11488),f809(x11483,x11484,x11482,x11485,x11486,x11487,x11488)) % 219.27/219.55 [1149]~E(x11491,x11492)+E(f809(x11493,x11494,x11495,x11491,x11496,x11497,x11498),f809(x11493,x11494,x11495,x11492,x11496,x11497,x11498)) % 219.27/219.55 [1150]~E(x11501,x11502)+E(f809(x11503,x11504,x11505,x11506,x11501,x11507,x11508),f809(x11503,x11504,x11505,x11506,x11502,x11507,x11508)) % 219.27/219.55 [1151]~E(x11511,x11512)+E(f809(x11513,x11514,x11515,x11516,x11517,x11511,x11518),f809(x11513,x11514,x11515,x11516,x11517,x11512,x11518)) % 219.27/219.55 [1152]~E(x11521,x11522)+E(f809(x11523,x11524,x11525,x11526,x11527,x11528,x11521),f809(x11523,x11524,x11525,x11526,x11527,x11528,x11522)) % 219.27/219.55 [1153]~E(x11531,x11532)+E(f603(x11531,x11533,x11534),f603(x11532,x11533,x11534)) % 219.27/219.55 [1154]~E(x11541,x11542)+E(f603(x11543,x11541,x11544),f603(x11543,x11542,x11544)) % 219.27/219.55 [1155]~E(x11551,x11552)+E(f603(x11553,x11554,x11551),f603(x11553,x11554,x11552)) % 219.27/219.55 [1156]~E(x11561,x11562)+E(f904(x11561,x11563,x11564),f904(x11562,x11563,x11564)) % 219.27/219.55 [1157]~E(x11571,x11572)+E(f904(x11573,x11571,x11574),f904(x11573,x11572,x11574)) % 219.27/219.55 [1158]~E(x11581,x11582)+E(f904(x11583,x11584,x11581),f904(x11583,x11584,x11582)) % 219.27/219.55 [1159]~E(x11591,x11592)+E(f358(x11591,x11593,x11594),f358(x11592,x11593,x11594)) % 219.27/219.55 [1160]~E(x11601,x11602)+E(f358(x11603,x11601,x11604),f358(x11603,x11602,x11604)) % 219.27/219.55 [1161]~E(x11611,x11612)+E(f358(x11613,x11614,x11611),f358(x11613,x11614,x11612)) % 219.27/219.55 [1162]~E(x11621,x11622)+E(f198(x11621,x11623,x11624,x11625),f198(x11622,x11623,x11624,x11625)) % 219.27/219.55 [1163]~E(x11631,x11632)+E(f198(x11633,x11631,x11634,x11635),f198(x11633,x11632,x11634,x11635)) % 219.27/219.55 [1164]~E(x11641,x11642)+E(f198(x11643,x11644,x11641,x11645),f198(x11643,x11644,x11642,x11645)) % 219.27/219.55 [1165]~E(x11651,x11652)+E(f198(x11653,x11654,x11655,x11651),f198(x11653,x11654,x11655,x11652)) % 219.27/219.55 [1166]~E(x11661,x11662)+E(f523(x11661,x11663,x11664),f523(x11662,x11663,x11664)) % 219.27/219.55 [1167]~E(x11671,x11672)+E(f523(x11673,x11671,x11674),f523(x11673,x11672,x11674)) % 219.27/219.55 [1168]~E(x11681,x11682)+E(f523(x11683,x11684,x11681),f523(x11683,x11684,x11682)) % 219.27/219.55 [1169]~E(x11691,x11692)+E(f265(x11691,x11693,x11694,x11695),f265(x11692,x11693,x11694,x11695)) % 219.27/219.55 [1170]~E(x11701,x11702)+E(f265(x11703,x11701,x11704,x11705),f265(x11703,x11702,x11704,x11705)) % 219.27/219.55 [1171]~E(x11711,x11712)+E(f265(x11713,x11714,x11711,x11715),f265(x11713,x11714,x11712,x11715)) % 219.27/219.55 [1172]~E(x11721,x11722)+E(f265(x11723,x11724,x11725,x11721),f265(x11723,x11724,x11725,x11722)) % 219.27/219.55 [1173]~E(x11731,x11732)+E(f858(x11731,x11733,x11734,x11735),f858(x11732,x11733,x11734,x11735)) % 219.27/219.55 [1174]~E(x11741,x11742)+E(f858(x11743,x11741,x11744,x11745),f858(x11743,x11742,x11744,x11745)) % 219.27/219.55 [1175]~E(x11751,x11752)+E(f858(x11753,x11754,x11751,x11755),f858(x11753,x11754,x11752,x11755)) % 219.27/219.55 [1176]~E(x11761,x11762)+E(f858(x11763,x11764,x11765,x11761),f858(x11763,x11764,x11765,x11762)) % 219.27/219.55 [1177]~E(x11771,x11772)+E(f135(x11771,x11773),f135(x11772,x11773)) % 219.27/219.55 [1178]~E(x11781,x11782)+E(f135(x11783,x11781),f135(x11783,x11782)) % 219.27/219.55 [1179]~E(x11791,x11792)+E(f780(x11791,x11793,x11794),f780(x11792,x11793,x11794)) % 219.27/219.55 [1180]~E(x11801,x11802)+E(f780(x11803,x11801,x11804),f780(x11803,x11802,x11804)) % 219.27/219.55 [1181]~E(x11811,x11812)+E(f780(x11813,x11814,x11811),f780(x11813,x11814,x11812)) % 219.27/219.55 [1182]~E(x11821,x11822)+E(f469(x11821,x11823,x11824),f469(x11822,x11823,x11824)) % 219.27/219.55 [1183]~E(x11831,x11832)+E(f469(x11833,x11831,x11834),f469(x11833,x11832,x11834)) % 219.27/219.55 [1184]~E(x11841,x11842)+E(f469(x11843,x11844,x11841),f469(x11843,x11844,x11842)) % 219.27/219.55 [1185]~E(x11851,x11852)+E(f919(x11851,x11853,x11854),f919(x11852,x11853,x11854)) % 219.27/219.55 [1186]~E(x11861,x11862)+E(f919(x11863,x11861,x11864),f919(x11863,x11862,x11864)) % 219.27/219.55 [1187]~E(x11871,x11872)+E(f919(x11873,x11874,x11871),f919(x11873,x11874,x11872)) % 219.27/219.55 [1188]~E(x11881,x11882)+E(f219(x11881,x11883),f219(x11882,x11883)) % 219.27/219.55 [1189]~E(x11891,x11892)+E(f219(x11893,x11891),f219(x11893,x11892)) % 219.27/219.55 [1190]~E(x11901,x11902)+E(f401(x11901,x11903,x11904,x11905),f401(x11902,x11903,x11904,x11905)) % 219.27/219.55 [1191]~E(x11911,x11912)+E(f401(x11913,x11911,x11914,x11915),f401(x11913,x11912,x11914,x11915)) % 219.27/219.55 [1192]~E(x11921,x11922)+E(f401(x11923,x11924,x11921,x11925),f401(x11923,x11924,x11922,x11925)) % 219.27/219.55 [1193]~E(x11931,x11932)+E(f401(x11933,x11934,x11935,x11931),f401(x11933,x11934,x11935,x11932)) % 219.27/219.55 [1194]~E(x11941,x11942)+E(f191(x11941,x11943),f191(x11942,x11943)) % 219.27/219.55 [1195]~E(x11951,x11952)+E(f191(x11953,x11951),f191(x11953,x11952)) % 219.27/219.55 [1196]~E(x11961,x11962)+E(f732(x11961,x11963,x11964),f732(x11962,x11963,x11964)) % 219.27/219.55 [1197]~E(x11971,x11972)+E(f732(x11973,x11971,x11974),f732(x11973,x11972,x11974)) % 219.27/219.55 [1198]~E(x11981,x11982)+E(f732(x11983,x11984,x11981),f732(x11983,x11984,x11982)) % 219.27/219.55 [1199]~E(x11991,x11992)+E(f617(x11991,x11993,x11994,x11995),f617(x11992,x11993,x11994,x11995)) % 219.27/219.55 [1200]~E(x12001,x12002)+E(f617(x12003,x12001,x12004,x12005),f617(x12003,x12002,x12004,x12005)) % 219.27/219.55 [1201]~E(x12011,x12012)+E(f617(x12013,x12014,x12011,x12015),f617(x12013,x12014,x12012,x12015)) % 219.27/219.55 [1202]~E(x12021,x12022)+E(f617(x12023,x12024,x12025,x12021),f617(x12023,x12024,x12025,x12022)) % 219.27/219.55 [1203]~E(x12031,x12032)+E(f727(x12031,x12033),f727(x12032,x12033)) % 219.27/219.55 [1204]~E(x12041,x12042)+E(f727(x12043,x12041),f727(x12043,x12042)) % 219.27/219.55 [1205]~E(x12051,x12052)+E(f132(x12051,x12053,x12054),f132(x12052,x12053,x12054)) % 219.27/219.55 [1206]~E(x12061,x12062)+E(f132(x12063,x12061,x12064),f132(x12063,x12062,x12064)) % 219.27/219.55 [1207]~E(x12071,x12072)+E(f132(x12073,x12074,x12071),f132(x12073,x12074,x12072)) % 219.27/219.55 [1208]~E(x12081,x12082)+E(f334(x12081,x12083,x12084),f334(x12082,x12083,x12084)) % 219.27/219.55 [1209]~E(x12091,x12092)+E(f334(x12093,x12091,x12094),f334(x12093,x12092,x12094)) % 219.27/219.55 [1210]~E(x12101,x12102)+E(f334(x12103,x12104,x12101),f334(x12103,x12104,x12102)) % 219.27/219.55 [1211]~E(x12111,x12112)+E(f223(x12111,x12113,x12114,x12115),f223(x12112,x12113,x12114,x12115)) % 219.27/219.55 [1212]~E(x12121,x12122)+E(f223(x12123,x12121,x12124,x12125),f223(x12123,x12122,x12124,x12125)) % 219.27/219.55 [1213]~E(x12131,x12132)+E(f223(x12133,x12134,x12131,x12135),f223(x12133,x12134,x12132,x12135)) % 219.27/219.55 [1214]~E(x12141,x12142)+E(f223(x12143,x12144,x12145,x12141),f223(x12143,x12144,x12145,x12142)) % 219.27/219.55 [1215]~E(x12151,x12152)+E(f119(x12151,x12153,x12154,x12155,x12156),f119(x12152,x12153,x12154,x12155,x12156)) % 219.27/219.55 [1216]~E(x12161,x12162)+E(f119(x12163,x12161,x12164,x12165,x12166),f119(x12163,x12162,x12164,x12165,x12166)) % 219.27/219.55 [1217]~E(x12171,x12172)+E(f119(x12173,x12174,x12171,x12175,x12176),f119(x12173,x12174,x12172,x12175,x12176)) % 219.27/219.55 [1218]~E(x12181,x12182)+E(f119(x12183,x12184,x12185,x12181,x12186),f119(x12183,x12184,x12185,x12182,x12186)) % 219.27/219.55 [1219]~E(x12191,x12192)+E(f119(x12193,x12194,x12195,x12196,x12191),f119(x12193,x12194,x12195,x12196,x12192)) % 219.27/219.55 [1220]~E(x12201,x12202)+E(f906(x12201,x12203,x12204,x12205,x12206),f906(x12202,x12203,x12204,x12205,x12206)) % 219.27/219.55 [1221]~E(x12211,x12212)+E(f906(x12213,x12211,x12214,x12215,x12216),f906(x12213,x12212,x12214,x12215,x12216)) % 219.27/219.55 [1222]~E(x12221,x12222)+E(f906(x12223,x12224,x12221,x12225,x12226),f906(x12223,x12224,x12222,x12225,x12226)) % 219.27/219.55 [1223]~E(x12231,x12232)+E(f906(x12233,x12234,x12235,x12231,x12236),f906(x12233,x12234,x12235,x12232,x12236)) % 219.27/219.55 [1224]~E(x12241,x12242)+E(f906(x12243,x12244,x12245,x12246,x12241),f906(x12243,x12244,x12245,x12246,x12242)) % 219.27/219.55 [1225]~E(x12251,x12252)+E(f557(x12251,x12253,x12254,x12255,x12256),f557(x12252,x12253,x12254,x12255,x12256)) % 219.27/219.55 [1226]~E(x12261,x12262)+E(f557(x12263,x12261,x12264,x12265,x12266),f557(x12263,x12262,x12264,x12265,x12266)) % 219.27/219.55 [1227]~E(x12271,x12272)+E(f557(x12273,x12274,x12271,x12275,x12276),f557(x12273,x12274,x12272,x12275,x12276)) % 219.27/219.55 [1228]~E(x12281,x12282)+E(f557(x12283,x12284,x12285,x12281,x12286),f557(x12283,x12284,x12285,x12282,x12286)) % 219.27/219.55 [1229]~E(x12291,x12292)+E(f557(x12293,x12294,x12295,x12296,x12291),f557(x12293,x12294,x12295,x12296,x12292)) % 219.27/219.55 [1230]~E(x12301,x12302)+E(f349(x12301,x12303,x12304,x12305,x12306),f349(x12302,x12303,x12304,x12305,x12306)) % 219.27/219.55 [1231]~E(x12311,x12312)+E(f349(x12313,x12311,x12314,x12315,x12316),f349(x12313,x12312,x12314,x12315,x12316)) % 219.27/219.55 [1232]~E(x12321,x12322)+E(f349(x12323,x12324,x12321,x12325,x12326),f349(x12323,x12324,x12322,x12325,x12326)) % 219.27/219.55 [1233]~E(x12331,x12332)+E(f349(x12333,x12334,x12335,x12331,x12336),f349(x12333,x12334,x12335,x12332,x12336)) % 219.27/219.55 [1234]~E(x12341,x12342)+E(f349(x12343,x12344,x12345,x12346,x12341),f349(x12343,x12344,x12345,x12346,x12342)) % 219.27/219.55 [1235]~E(x12351,x12352)+E(f669(x12351,x12353,x12354,x12355),f669(x12352,x12353,x12354,x12355)) % 219.27/219.55 [1236]~E(x12361,x12362)+E(f669(x12363,x12361,x12364,x12365),f669(x12363,x12362,x12364,x12365)) % 219.27/219.55 [1237]~E(x12371,x12372)+E(f669(x12373,x12374,x12371,x12375),f669(x12373,x12374,x12372,x12375)) % 219.27/219.55 [1238]~E(x12381,x12382)+E(f669(x12383,x12384,x12385,x12381),f669(x12383,x12384,x12385,x12382)) % 219.27/219.55 [1239]~E(x12391,x12392)+E(f245(x12391,x12393,x12394,x12395,x12396),f245(x12392,x12393,x12394,x12395,x12396)) % 219.27/219.55 [1240]~E(x12401,x12402)+E(f245(x12403,x12401,x12404,x12405,x12406),f245(x12403,x12402,x12404,x12405,x12406)) % 219.27/219.55 [1241]~E(x12411,x12412)+E(f245(x12413,x12414,x12411,x12415,x12416),f245(x12413,x12414,x12412,x12415,x12416)) % 219.27/219.55 [1242]~E(x12421,x12422)+E(f245(x12423,x12424,x12425,x12421,x12426),f245(x12423,x12424,x12425,x12422,x12426)) % 219.27/219.55 [1243]~E(x12431,x12432)+E(f245(x12433,x12434,x12435,x12436,x12431),f245(x12433,x12434,x12435,x12436,x12432)) % 219.27/219.55 [1244]~E(x12441,x12442)+E(f189(x12441,x12443,x12444,x12445),f189(x12442,x12443,x12444,x12445)) % 219.27/219.55 [1245]~E(x12451,x12452)+E(f189(x12453,x12451,x12454,x12455),f189(x12453,x12452,x12454,x12455)) % 219.27/219.55 [1246]~E(x12461,x12462)+E(f189(x12463,x12464,x12461,x12465),f189(x12463,x12464,x12462,x12465)) % 219.27/219.55 [1247]~E(x12471,x12472)+E(f189(x12473,x12474,x12475,x12471),f189(x12473,x12474,x12475,x12472)) % 219.27/219.55 [1248]~E(x12481,x12482)+E(f817(x12481,x12483,x12484,x12485),f817(x12482,x12483,x12484,x12485)) % 219.27/219.55 [1249]~E(x12491,x12492)+E(f817(x12493,x12491,x12494,x12495),f817(x12493,x12492,x12494,x12495)) % 219.27/219.55 [1250]~E(x12501,x12502)+E(f817(x12503,x12504,x12501,x12505),f817(x12503,x12504,x12502,x12505)) % 219.27/219.55 [1251]~E(x12511,x12512)+E(f817(x12513,x12514,x12515,x12511),f817(x12513,x12514,x12515,x12512)) % 219.27/219.55 [1252]~E(x12521,x12522)+E(f850(x12521,x12523,x12524,x12525,x12526,x12527,x12528),f850(x12522,x12523,x12524,x12525,x12526,x12527,x12528)) % 219.27/219.55 [1253]~E(x12531,x12532)+E(f850(x12533,x12531,x12534,x12535,x12536,x12537,x12538),f850(x12533,x12532,x12534,x12535,x12536,x12537,x12538)) % 219.27/219.55 [1254]~E(x12541,x12542)+E(f850(x12543,x12544,x12541,x12545,x12546,x12547,x12548),f850(x12543,x12544,x12542,x12545,x12546,x12547,x12548)) % 219.27/219.55 [1255]~E(x12551,x12552)+E(f850(x12553,x12554,x12555,x12551,x12556,x12557,x12558),f850(x12553,x12554,x12555,x12552,x12556,x12557,x12558)) % 219.27/219.55 [1256]~E(x12561,x12562)+E(f850(x12563,x12564,x12565,x12566,x12561,x12567,x12568),f850(x12563,x12564,x12565,x12566,x12562,x12567,x12568)) % 219.27/219.55 [1257]~E(x12571,x12572)+E(f850(x12573,x12574,x12575,x12576,x12577,x12571,x12578),f850(x12573,x12574,x12575,x12576,x12577,x12572,x12578)) % 219.27/219.55 [1258]~E(x12581,x12582)+E(f850(x12583,x12584,x12585,x12586,x12587,x12588,x12581),f850(x12583,x12584,x12585,x12586,x12587,x12588,x12582)) % 219.27/219.55 [1259]~E(x12591,x12592)+E(f829(x12591,x12593,x12594,x12595,x12596,x12597),f829(x12592,x12593,x12594,x12595,x12596,x12597)) % 219.27/219.55 [1260]~E(x12601,x12602)+E(f829(x12603,x12601,x12604,x12605,x12606,x12607),f829(x12603,x12602,x12604,x12605,x12606,x12607)) % 219.27/219.55 [1261]~E(x12611,x12612)+E(f829(x12613,x12614,x12611,x12615,x12616,x12617),f829(x12613,x12614,x12612,x12615,x12616,x12617)) % 219.27/219.55 [1262]~E(x12621,x12622)+E(f829(x12623,x12624,x12625,x12621,x12626,x12627),f829(x12623,x12624,x12625,x12622,x12626,x12627)) % 219.27/219.55 [1263]~E(x12631,x12632)+E(f829(x12633,x12634,x12635,x12636,x12631,x12637),f829(x12633,x12634,x12635,x12636,x12632,x12637)) % 219.27/219.55 [1264]~E(x12641,x12642)+E(f829(x12643,x12644,x12645,x12646,x12647,x12641),f829(x12643,x12644,x12645,x12646,x12647,x12642)) % 219.27/219.55 [1265]~E(x12651,x12652)+E(f340(x12651,x12653,x12654,x12655),f340(x12652,x12653,x12654,x12655)) % 219.27/219.55 [1266]~E(x12661,x12662)+E(f340(x12663,x12661,x12664,x12665),f340(x12663,x12662,x12664,x12665)) % 219.27/219.55 [1267]~E(x12671,x12672)+E(f340(x12673,x12674,x12671,x12675),f340(x12673,x12674,x12672,x12675)) % 219.27/219.55 [1268]~E(x12681,x12682)+E(f340(x12683,x12684,x12685,x12681),f340(x12683,x12684,x12685,x12682)) % 219.27/219.55 [1269]~E(x12691,x12692)+E(f272(x12691,x12693,x12694,x12695),f272(x12692,x12693,x12694,x12695)) % 219.27/219.55 [1270]~E(x12701,x12702)+E(f272(x12703,x12701,x12704,x12705),f272(x12703,x12702,x12704,x12705)) % 219.27/219.55 [1271]~E(x12711,x12712)+E(f272(x12713,x12714,x12711,x12715),f272(x12713,x12714,x12712,x12715)) % 219.27/219.55 [1272]~E(x12721,x12722)+E(f272(x12723,x12724,x12725,x12721),f272(x12723,x12724,x12725,x12722)) % 219.27/219.55 [1273]~E(x12731,x12732)+E(f122(x12731,x12733,x12734,x12735),f122(x12732,x12733,x12734,x12735)) % 219.27/219.55 [1274]~E(x12741,x12742)+E(f122(x12743,x12741,x12744,x12745),f122(x12743,x12742,x12744,x12745)) % 219.27/219.55 [1275]~E(x12751,x12752)+E(f122(x12753,x12754,x12751,x12755),f122(x12753,x12754,x12752,x12755)) % 219.27/219.55 [1276]~E(x12761,x12762)+E(f122(x12763,x12764,x12765,x12761),f122(x12763,x12764,x12765,x12762)) % 219.27/219.55 [1277]~E(x12771,x12772)+E(f353(x12771,x12773,x12774,x12775,x12776),f353(x12772,x12773,x12774,x12775,x12776)) % 219.27/219.55 [1278]~E(x12781,x12782)+E(f353(x12783,x12781,x12784,x12785,x12786),f353(x12783,x12782,x12784,x12785,x12786)) % 219.27/219.55 [1279]~E(x12791,x12792)+E(f353(x12793,x12794,x12791,x12795,x12796),f353(x12793,x12794,x12792,x12795,x12796)) % 219.27/219.55 [1280]~E(x12801,x12802)+E(f353(x12803,x12804,x12805,x12801,x12806),f353(x12803,x12804,x12805,x12802,x12806)) % 219.27/219.55 [1281]~E(x12811,x12812)+E(f353(x12813,x12814,x12815,x12816,x12811),f353(x12813,x12814,x12815,x12816,x12812)) % 219.27/219.55 [1282]~E(x12821,x12822)+E(f210(x12821,x12823),f210(x12822,x12823)) % 219.27/219.55 [1283]~E(x12831,x12832)+E(f210(x12833,x12831),f210(x12833,x12832)) % 219.27/219.55 [1284]~E(x12841,x12842)+E(f101(x12841),f101(x12842)) % 219.27/219.55 [1285]~E(x12851,x12852)+E(f883(x12851,x12853,x12854),f883(x12852,x12853,x12854)) % 219.27/219.55 [1286]~E(x12861,x12862)+E(f883(x12863,x12861,x12864),f883(x12863,x12862,x12864)) % 219.27/219.55 [1287]~E(x12871,x12872)+E(f883(x12873,x12874,x12871),f883(x12873,x12874,x12872)) % 219.27/219.55 [1288]~E(x12881,x12882)+E(f741(x12881,x12883,x12884,x12885,x12886),f741(x12882,x12883,x12884,x12885,x12886)) % 219.27/219.55 [1289]~E(x12891,x12892)+E(f741(x12893,x12891,x12894,x12895,x12896),f741(x12893,x12892,x12894,x12895,x12896)) % 219.27/219.55 [1290]~E(x12901,x12902)+E(f741(x12903,x12904,x12901,x12905,x12906),f741(x12903,x12904,x12902,x12905,x12906)) % 219.27/219.55 [1291]~E(x12911,x12912)+E(f741(x12913,x12914,x12915,x12911,x12916),f741(x12913,x12914,x12915,x12912,x12916)) % 219.27/219.55 [1292]~E(x12921,x12922)+E(f741(x12923,x12924,x12925,x12926,x12921),f741(x12923,x12924,x12925,x12926,x12922)) % 219.27/219.55 [1293]~E(x12931,x12932)+E(f519(x12931,x12933,x12934),f519(x12932,x12933,x12934)) % 219.27/219.55 [1294]~E(x12941,x12942)+E(f519(x12943,x12941,x12944),f519(x12943,x12942,x12944)) % 219.27/219.55 [1295]~E(x12951,x12952)+E(f519(x12953,x12954,x12951),f519(x12953,x12954,x12952)) % 219.27/219.55 [1296]~E(x12961,x12962)+E(f338(x12961,x12963,x12964),f338(x12962,x12963,x12964)) % 219.27/219.55 [1297]~E(x12971,x12972)+E(f338(x12973,x12971,x12974),f338(x12973,x12972,x12974)) % 219.27/219.55 [1298]~E(x12981,x12982)+E(f338(x12983,x12984,x12981),f338(x12983,x12984,x12982)) % 219.27/219.55 [1299]~E(x12991,x12992)+E(f273(x12991),f273(x12992)) % 219.27/219.55 [1300]~E(x13001,x13002)+E(f258(x13001,x13003),f258(x13002,x13003)) % 219.27/219.55 [1301]~E(x13011,x13012)+E(f258(x13013,x13011),f258(x13013,x13012)) % 219.27/219.55 [1302]~E(x13021,x13022)+E(f691(x13021,x13023,x13024,x13025,x13026),f691(x13022,x13023,x13024,x13025,x13026)) % 219.27/219.55 [1303]~E(x13031,x13032)+E(f691(x13033,x13031,x13034,x13035,x13036),f691(x13033,x13032,x13034,x13035,x13036)) % 219.27/219.55 [1304]~E(x13041,x13042)+E(f691(x13043,x13044,x13041,x13045,x13046),f691(x13043,x13044,x13042,x13045,x13046)) % 219.27/219.55 [1305]~E(x13051,x13052)+E(f691(x13053,x13054,x13055,x13051,x13056),f691(x13053,x13054,x13055,x13052,x13056)) % 219.27/219.55 [1306]~E(x13061,x13062)+E(f691(x13063,x13064,x13065,x13066,x13061),f691(x13063,x13064,x13065,x13066,x13062)) % 219.27/219.55 [1307]~E(x13071,x13072)+E(f680(x13071,x13073,x13074,x13075),f680(x13072,x13073,x13074,x13075)) % 219.27/219.55 [1308]~E(x13081,x13082)+E(f680(x13083,x13081,x13084,x13085),f680(x13083,x13082,x13084,x13085)) % 219.27/219.55 [1309]~E(x13091,x13092)+E(f680(x13093,x13094,x13091,x13095),f680(x13093,x13094,x13092,x13095)) % 219.27/219.55 [1310]~E(x13101,x13102)+E(f680(x13103,x13104,x13105,x13101),f680(x13103,x13104,x13105,x13102)) % 219.27/219.55 [1311]~E(x13111,x13112)+E(f402(x13111,x13113,x13114,x13115,x13116),f402(x13112,x13113,x13114,x13115,x13116)) % 219.27/219.55 [1312]~E(x13121,x13122)+E(f402(x13123,x13121,x13124,x13125,x13126),f402(x13123,x13122,x13124,x13125,x13126)) % 219.27/219.55 [1313]~E(x13131,x13132)+E(f402(x13133,x13134,x13131,x13135,x13136),f402(x13133,x13134,x13132,x13135,x13136)) % 219.27/219.55 [1314]~E(x13141,x13142)+E(f402(x13143,x13144,x13145,x13141,x13146),f402(x13143,x13144,x13145,x13142,x13146)) % 219.27/219.55 [1315]~E(x13151,x13152)+E(f402(x13153,x13154,x13155,x13156,x13151),f402(x13153,x13154,x13155,x13156,x13152)) % 219.27/219.55 [1316]~E(x13161,x13162)+E(f847(x13161,x13163,x13164,x13165),f847(x13162,x13163,x13164,x13165)) % 219.27/219.55 [1317]~E(x13171,x13172)+E(f847(x13173,x13171,x13174,x13175),f847(x13173,x13172,x13174,x13175)) % 219.27/219.55 [1318]~E(x13181,x13182)+E(f847(x13183,x13184,x13181,x13185),f847(x13183,x13184,x13182,x13185)) % 219.27/219.55 [1319]~E(x13191,x13192)+E(f847(x13193,x13194,x13195,x13191),f847(x13193,x13194,x13195,x13192)) % 219.27/219.55 [1320]~E(x13201,x13202)+E(f796(x13201,x13203,x13204),f796(x13202,x13203,x13204)) % 219.27/219.55 [1321]~E(x13211,x13212)+E(f796(x13213,x13211,x13214),f796(x13213,x13212,x13214)) % 219.27/219.55 [1322]~E(x13221,x13222)+E(f796(x13223,x13224,x13221),f796(x13223,x13224,x13222)) % 219.27/219.55 [1323]~E(x13231,x13232)+E(f633(x13231,x13233),f633(x13232,x13233)) % 219.27/219.55 [1324]~E(x13241,x13242)+E(f633(x13243,x13241),f633(x13243,x13242)) % 219.27/219.55 [1325]~E(x13251,x13252)+E(f610(x13251,x13253,x13254),f610(x13252,x13253,x13254)) % 219.27/219.55 [1326]~E(x13261,x13262)+E(f610(x13263,x13261,x13264),f610(x13263,x13262,x13264)) % 219.27/219.55 [1327]~E(x13271,x13272)+E(f610(x13273,x13274,x13271),f610(x13273,x13274,x13272)) % 219.27/219.55 [1328]~E(x13281,x13282)+E(f717(x13281,x13283),f717(x13282,x13283)) % 219.27/219.55 [1329]~E(x13291,x13292)+E(f717(x13293,x13291),f717(x13293,x13292)) % 219.27/219.55 [1330]~E(x13301,x13302)+E(f681(x13301,x13303,x13304,x13305),f681(x13302,x13303,x13304,x13305)) % 219.27/219.55 [1331]~E(x13311,x13312)+E(f681(x13313,x13311,x13314,x13315),f681(x13313,x13312,x13314,x13315)) % 219.27/219.55 [1332]~E(x13321,x13322)+E(f681(x13323,x13324,x13321,x13325),f681(x13323,x13324,x13322,x13325)) % 219.27/219.55 [1333]~E(x13331,x13332)+E(f681(x13333,x13334,x13335,x13331),f681(x13333,x13334,x13335,x13332)) % 219.27/219.55 [1334]~E(x13341,x13342)+E(f515(x13341,x13343),f515(x13342,x13343)) % 219.27/219.55 [1335]~E(x13351,x13352)+E(f515(x13353,x13351),f515(x13353,x13352)) % 219.27/219.55 [1336]~E(x13361,x13362)+E(f698(x13361,x13363,x13364),f698(x13362,x13363,x13364)) % 219.27/219.55 [1337]~E(x13371,x13372)+E(f698(x13373,x13371,x13374),f698(x13373,x13372,x13374)) % 219.27/219.55 [1338]~E(x13381,x13382)+E(f698(x13383,x13384,x13381),f698(x13383,x13384,x13382)) % 219.27/219.55 [1339]~E(x13391,x13392)+E(f516(x13391),f516(x13392)) % 219.27/219.55 [1340]~E(x13401,x13402)+E(f645(x13401,x13403,x13404,x13405,x13406),f645(x13402,x13403,x13404,x13405,x13406)) % 219.27/219.55 [1341]~E(x13411,x13412)+E(f645(x13413,x13411,x13414,x13415,x13416),f645(x13413,x13412,x13414,x13415,x13416)) % 219.27/219.55 [1342]~E(x13421,x13422)+E(f645(x13423,x13424,x13421,x13425,x13426),f645(x13423,x13424,x13422,x13425,x13426)) % 219.27/219.55 [1343]~E(x13431,x13432)+E(f645(x13433,x13434,x13435,x13431,x13436),f645(x13433,x13434,x13435,x13432,x13436)) % 219.27/219.55 [1344]~E(x13441,x13442)+E(f645(x13443,x13444,x13445,x13446,x13441),f645(x13443,x13444,x13445,x13446,x13442)) % 219.27/219.55 [1345]~E(x13451,x13452)+E(f890(x13451,x13453,x13454,x13455),f890(x13452,x13453,x13454,x13455)) % 219.27/219.55 [1346]~E(x13461,x13462)+E(f890(x13463,x13461,x13464,x13465),f890(x13463,x13462,x13464,x13465)) % 219.27/219.55 [1347]~E(x13471,x13472)+E(f890(x13473,x13474,x13471,x13475),f890(x13473,x13474,x13472,x13475)) % 219.27/219.55 [1348]~E(x13481,x13482)+E(f890(x13483,x13484,x13485,x13481),f890(x13483,x13484,x13485,x13482)) % 219.27/219.55 [1349]~E(x13491,x13492)+E(f470(x13491,x13493,x13494),f470(x13492,x13493,x13494)) % 219.27/219.55 [1350]~E(x13501,x13502)+E(f470(x13503,x13501,x13504),f470(x13503,x13502,x13504)) % 219.27/219.55 [1351]~E(x13511,x13512)+E(f470(x13513,x13514,x13511),f470(x13513,x13514,x13512)) % 219.27/219.55 [1352]~E(x13521,x13522)+E(f460(x13521,x13523,x13524,x13525),f460(x13522,x13523,x13524,x13525)) % 219.27/219.55 [1353]~E(x13531,x13532)+E(f460(x13533,x13531,x13534,x13535),f460(x13533,x13532,x13534,x13535)) % 219.27/219.55 [1354]~E(x13541,x13542)+E(f460(x13543,x13544,x13541,x13545),f460(x13543,x13544,x13542,x13545)) % 219.27/219.55 [1355]~E(x13551,x13552)+E(f460(x13553,x13554,x13555,x13551),f460(x13553,x13554,x13555,x13552)) % 219.27/219.55 [1356]~E(x13561,x13562)+E(f241(x13561,x13563,x13564),f241(x13562,x13563,x13564)) % 219.27/219.55 [1357]~E(x13571,x13572)+E(f241(x13573,x13571,x13574),f241(x13573,x13572,x13574)) % 219.27/219.55 [1358]~E(x13581,x13582)+E(f241(x13583,x13584,x13581),f241(x13583,x13584,x13582)) % 219.27/219.55 [1359]~E(x13591,x13592)+E(f115(x13591),f115(x13592)) % 219.27/219.55 [1360]~E(x13601,x13602)+E(f884(x13601,x13603,x13604),f884(x13602,x13603,x13604)) % 219.27/219.55 [1361]~E(x13611,x13612)+E(f884(x13613,x13611,x13614),f884(x13613,x13612,x13614)) % 219.27/219.55 [1362]~E(x13621,x13622)+E(f884(x13623,x13624,x13621),f884(x13623,x13624,x13622)) % 219.27/219.55 [1363]~E(x13631,x13632)+E(f699(x13631,x13633,x13634),f699(x13632,x13633,x13634)) % 219.27/219.55 [1364]~E(x13641,x13642)+E(f699(x13643,x13641,x13644),f699(x13643,x13642,x13644)) % 219.27/219.55 [1365]~E(x13651,x13652)+E(f699(x13653,x13654,x13651),f699(x13653,x13654,x13652)) % 219.27/219.55 [1366]~E(x13661,x13662)+E(f461(x13661,x13663,x13664,x13665,x13666),f461(x13662,x13663,x13664,x13665,x13666)) % 219.27/219.55 [1367]~E(x13671,x13672)+E(f461(x13673,x13671,x13674,x13675,x13676),f461(x13673,x13672,x13674,x13675,x13676)) % 219.27/219.55 [1368]~E(x13681,x13682)+E(f461(x13683,x13684,x13681,x13685,x13686),f461(x13683,x13684,x13682,x13685,x13686)) % 219.27/219.55 [1369]~E(x13691,x13692)+E(f461(x13693,x13694,x13695,x13691,x13696),f461(x13693,x13694,x13695,x13692,x13696)) % 219.27/219.55 [1370]~E(x13701,x13702)+E(f461(x13703,x13704,x13705,x13706,x13701),f461(x13703,x13704,x13705,x13706,x13702)) % 219.27/219.55 [1371]~E(x13711,x13712)+E(f389(x13711,x13713,x13714,x13715,x13716),f389(x13712,x13713,x13714,x13715,x13716)) % 219.27/219.55 [1372]~E(x13721,x13722)+E(f389(x13723,x13721,x13724,x13725,x13726),f389(x13723,x13722,x13724,x13725,x13726)) % 219.27/219.55 [1373]~E(x13731,x13732)+E(f389(x13733,x13734,x13731,x13735,x13736),f389(x13733,x13734,x13732,x13735,x13736)) % 219.27/219.55 [1374]~E(x13741,x13742)+E(f389(x13743,x13744,x13745,x13741,x13746),f389(x13743,x13744,x13745,x13742,x13746)) % 219.27/219.55 [1375]~E(x13751,x13752)+E(f389(x13753,x13754,x13755,x13756,x13751),f389(x13753,x13754,x13755,x13756,x13752)) % 219.27/219.55 [1376]~E(x13761,x13762)+E(f495(x13761,x13763,x13764,x13765,x13766),f495(x13762,x13763,x13764,x13765,x13766)) % 219.27/219.55 [1377]~E(x13771,x13772)+E(f495(x13773,x13771,x13774,x13775,x13776),f495(x13773,x13772,x13774,x13775,x13776)) % 219.27/219.55 [1378]~E(x13781,x13782)+E(f495(x13783,x13784,x13781,x13785,x13786),f495(x13783,x13784,x13782,x13785,x13786)) % 219.27/219.55 [1379]~E(x13791,x13792)+E(f495(x13793,x13794,x13795,x13791,x13796),f495(x13793,x13794,x13795,x13792,x13796)) % 219.27/219.55 [1380]~E(x13801,x13802)+E(f495(x13803,x13804,x13805,x13806,x13801),f495(x13803,x13804,x13805,x13806,x13802)) % 219.27/219.55 [1381]~E(x13811,x13812)+E(f142(x13811,x13813,x13814,x13815),f142(x13812,x13813,x13814,x13815)) % 219.27/219.55 [1382]~E(x13821,x13822)+E(f142(x13823,x13821,x13824,x13825),f142(x13823,x13822,x13824,x13825)) % 219.27/219.55 [1383]~E(x13831,x13832)+E(f142(x13833,x13834,x13831,x13835),f142(x13833,x13834,x13832,x13835)) % 219.27/219.55 [1384]~E(x13841,x13842)+E(f142(x13843,x13844,x13845,x13841),f142(x13843,x13844,x13845,x13842)) % 219.27/219.55 [1385]~E(x13851,x13852)+E(f794(x13851,x13853,x13854,x13855),f794(x13852,x13853,x13854,x13855)) % 219.27/219.55 [1386]~E(x13861,x13862)+E(f794(x13863,x13861,x13864,x13865),f794(x13863,x13862,x13864,x13865)) % 219.27/219.55 [1387]~E(x13871,x13872)+E(f794(x13873,x13874,x13871,x13875),f794(x13873,x13874,x13872,x13875)) % 219.27/219.55 [1388]~E(x13881,x13882)+E(f794(x13883,x13884,x13885,x13881),f794(x13883,x13884,x13885,x13882)) % 219.27/219.55 [1389]~E(x13891,x13892)+E(f804(x13891,x13893,x13894,x13895),f804(x13892,x13893,x13894,x13895)) % 219.27/219.55 [1390]~E(x13901,x13902)+E(f804(x13903,x13901,x13904,x13905),f804(x13903,x13902,x13904,x13905)) % 219.27/219.55 [1391]~E(x13911,x13912)+E(f804(x13913,x13914,x13911,x13915),f804(x13913,x13914,x13912,x13915)) % 219.27/219.55 [1392]~E(x13921,x13922)+E(f804(x13923,x13924,x13925,x13921),f804(x13923,x13924,x13925,x13922)) % 219.27/219.55 [1393]~E(x13931,x13932)+E(f768(x13931,x13933,x13934,x13935,x13936,x13937,x13938),f768(x13932,x13933,x13934,x13935,x13936,x13937,x13938)) % 219.27/219.55 [1394]~E(x13941,x13942)+E(f768(x13943,x13941,x13944,x13945,x13946,x13947,x13948),f768(x13943,x13942,x13944,x13945,x13946,x13947,x13948)) % 219.27/219.55 [1395]~E(x13951,x13952)+E(f768(x13953,x13954,x13951,x13955,x13956,x13957,x13958),f768(x13953,x13954,x13952,x13955,x13956,x13957,x13958)) % 219.27/219.55 [1396]~E(x13961,x13962)+E(f768(x13963,x13964,x13965,x13961,x13966,x13967,x13968),f768(x13963,x13964,x13965,x13962,x13966,x13967,x13968)) % 219.27/219.55 [1397]~E(x13971,x13972)+E(f768(x13973,x13974,x13975,x13976,x13971,x13977,x13978),f768(x13973,x13974,x13975,x13976,x13972,x13977,x13978)) % 219.27/219.55 [1398]~E(x13981,x13982)+E(f768(x13983,x13984,x13985,x13986,x13987,x13981,x13988),f768(x13983,x13984,x13985,x13986,x13987,x13982,x13988)) % 219.27/219.55 [1399]~E(x13991,x13992)+E(f768(x13993,x13994,x13995,x13996,x13997,x13998,x13991),f768(x13993,x13994,x13995,x13996,x13997,x13998,x13992)) % 219.27/219.55 [1400]~E(x14001,x14002)+E(f915(x14001,x14003),f915(x14002,x14003)) % 219.27/219.55 [1401]~E(x14011,x14012)+E(f915(x14013,x14011),f915(x14013,x14012)) % 219.27/219.55 [1402]~E(x14021,x14022)+E(f826(x14021,x14023),f826(x14022,x14023)) % 219.27/219.55 [1403]~E(x14031,x14032)+E(f826(x14033,x14031),f826(x14033,x14032)) % 219.27/219.55 [1404]~E(x14041,x14042)+E(f833(x14041),f833(x14042)) % 219.27/219.55 [1405]~E(x14051,x14052)+E(f457(x14051,x14053),f457(x14052,x14053)) % 219.27/219.55 [1406]~E(x14061,x14062)+E(f457(x14063,x14061),f457(x14063,x14062)) % 219.27/219.55 [1407]~E(x14071,x14072)+E(f720(x14071,x14073,x14074,x14075,x14076),f720(x14072,x14073,x14074,x14075,x14076)) % 219.27/219.55 [1408]~E(x14081,x14082)+E(f720(x14083,x14081,x14084,x14085,x14086),f720(x14083,x14082,x14084,x14085,x14086)) % 219.27/219.55 [1409]~E(x14091,x14092)+E(f720(x14093,x14094,x14091,x14095,x14096),f720(x14093,x14094,x14092,x14095,x14096)) % 219.27/219.55 [1410]~E(x14101,x14102)+E(f720(x14103,x14104,x14105,x14101,x14106),f720(x14103,x14104,x14105,x14102,x14106)) % 219.27/219.55 [1411]~E(x14111,x14112)+E(f720(x14113,x14114,x14115,x14116,x14111),f720(x14113,x14114,x14115,x14116,x14112)) % 219.27/219.55 [1412]~E(x14121,x14122)+E(f474(x14121,x14123,x14124),f474(x14122,x14123,x14124)) % 219.27/219.55 [1413]~E(x14131,x14132)+E(f474(x14133,x14131,x14134),f474(x14133,x14132,x14134)) % 219.27/219.55 [1414]~E(x14141,x14142)+E(f474(x14143,x14144,x14141),f474(x14143,x14144,x14142)) % 219.27/219.55 [1415]~E(x14151,x14152)+E(f446(x14151,x14153,x14154,x14155,x14156),f446(x14152,x14153,x14154,x14155,x14156)) % 219.27/219.55 [1416]~E(x14161,x14162)+E(f446(x14163,x14161,x14164,x14165,x14166),f446(x14163,x14162,x14164,x14165,x14166)) % 219.27/219.55 [1417]~E(x14171,x14172)+E(f446(x14173,x14174,x14171,x14175,x14176),f446(x14173,x14174,x14172,x14175,x14176)) % 219.27/219.55 [1418]~E(x14181,x14182)+E(f446(x14183,x14184,x14185,x14181,x14186),f446(x14183,x14184,x14185,x14182,x14186)) % 219.27/219.55 [1419]~E(x14191,x14192)+E(f446(x14193,x14194,x14195,x14196,x14191),f446(x14193,x14194,x14195,x14196,x14192)) % 219.27/219.55 [1420]~E(x14201,x14202)+E(f808(x14201,x14203),f808(x14202,x14203)) % 219.27/219.55 [1421]~E(x14211,x14212)+E(f808(x14213,x14211),f808(x14213,x14212)) % 219.27/219.55 [1422]~E(x14221,x14222)+E(f218(x14221,x14223,x14224,x14225,x14226),f218(x14222,x14223,x14224,x14225,x14226)) % 219.27/219.55 [1423]~E(x14231,x14232)+E(f218(x14233,x14231,x14234,x14235,x14236),f218(x14233,x14232,x14234,x14235,x14236)) % 219.27/219.55 [1424]~E(x14241,x14242)+E(f218(x14243,x14244,x14241,x14245,x14246),f218(x14243,x14244,x14242,x14245,x14246)) % 219.27/219.55 [1425]~E(x14251,x14252)+E(f218(x14253,x14254,x14255,x14251,x14256),f218(x14253,x14254,x14255,x14252,x14256)) % 219.27/219.55 [1426]~E(x14261,x14262)+E(f218(x14263,x14264,x14265,x14266,x14261),f218(x14263,x14264,x14265,x14266,x14262)) % 219.27/219.55 [1427]~E(x14271,x14272)+E(f506(x14271,x14273,x14274,x14275,x14276),f506(x14272,x14273,x14274,x14275,x14276)) % 219.27/219.55 [1428]~E(x14281,x14282)+E(f506(x14283,x14281,x14284,x14285,x14286),f506(x14283,x14282,x14284,x14285,x14286)) % 219.27/219.55 [1429]~E(x14291,x14292)+E(f506(x14293,x14294,x14291,x14295,x14296),f506(x14293,x14294,x14292,x14295,x14296)) % 219.27/219.55 [1430]~E(x14301,x14302)+E(f506(x14303,x14304,x14305,x14301,x14306),f506(x14303,x14304,x14305,x14302,x14306)) % 219.27/219.55 [1431]~E(x14311,x14312)+E(f506(x14313,x14314,x14315,x14316,x14311),f506(x14313,x14314,x14315,x14316,x14312)) % 219.27/219.55 [1432]~E(x14321,x14322)+E(f913(x14321,x14323),f913(x14322,x14323)) % 219.27/219.55 [1433]~E(x14331,x14332)+E(f913(x14333,x14331),f913(x14333,x14332)) % 219.27/219.55 [1434]~E(x14341,x14342)+E(f718(x14341,x14343),f718(x14342,x14343)) % 219.27/219.55 [1435]~E(x14351,x14352)+E(f718(x14353,x14351),f718(x14353,x14352)) % 219.27/219.55 [1436]~E(x14361,x14362)+E(f782(x14361,x14363,x14364),f782(x14362,x14363,x14364)) % 219.27/219.55 [1437]~E(x14371,x14372)+E(f782(x14373,x14371,x14374),f782(x14373,x14372,x14374)) % 219.27/219.55 [1438]~E(x14381,x14382)+E(f782(x14383,x14384,x14381),f782(x14383,x14384,x14382)) % 219.27/219.55 [1439]~E(x14391,x14392)+E(f202(x14391,x14393,x14394,x14395),f202(x14392,x14393,x14394,x14395)) % 219.27/219.55 [1440]~E(x14401,x14402)+E(f202(x14403,x14401,x14404,x14405),f202(x14403,x14402,x14404,x14405)) % 219.27/219.55 [1441]~E(x14411,x14412)+E(f202(x14413,x14414,x14411,x14415),f202(x14413,x14414,x14412,x14415)) % 219.27/219.55 [1442]~E(x14421,x14422)+E(f202(x14423,x14424,x14425,x14421),f202(x14423,x14424,x14425,x14422)) % 219.27/219.55 [1443]~E(x14431,x14432)+E(f388(x14431,x14433,x14434,x14435),f388(x14432,x14433,x14434,x14435)) % 219.27/219.55 [1444]~E(x14441,x14442)+E(f388(x14443,x14441,x14444,x14445),f388(x14443,x14442,x14444,x14445)) % 219.27/219.55 [1445]~E(x14451,x14452)+E(f388(x14453,x14454,x14451,x14455),f388(x14453,x14454,x14452,x14455)) % 219.27/219.55 [1446]~E(x14461,x14462)+E(f388(x14463,x14464,x14465,x14461),f388(x14463,x14464,x14465,x14462)) % 219.27/219.55 [1447]~E(x14471,x14472)+E(f597(x14471,x14473),f597(x14472,x14473)) % 219.27/219.55 [1448]~E(x14481,x14482)+E(f597(x14483,x14481),f597(x14483,x14482)) % 219.27/219.55 [1449]~E(x14491,x14492)+E(f532(x14491,x14493),f532(x14492,x14493)) % 219.27/219.55 [1450]~E(x14501,x14502)+E(f532(x14503,x14501),f532(x14503,x14502)) % 219.27/219.55 [1451]~E(x14511,x14512)+E(f642(x14511,x14513,x14514,x14515,x14516),f642(x14512,x14513,x14514,x14515,x14516)) % 219.27/219.55 [1452]~E(x14521,x14522)+E(f642(x14523,x14521,x14524,x14525,x14526),f642(x14523,x14522,x14524,x14525,x14526)) % 219.27/219.55 [1453]~E(x14531,x14532)+E(f642(x14533,x14534,x14531,x14535,x14536),f642(x14533,x14534,x14532,x14535,x14536)) % 219.27/219.55 [1454]~E(x14541,x14542)+E(f642(x14543,x14544,x14545,x14541,x14546),f642(x14543,x14544,x14545,x14542,x14546)) % 219.27/219.55 [1455]~E(x14551,x14552)+E(f642(x14553,x14554,x14555,x14556,x14551),f642(x14553,x14554,x14555,x14556,x14552)) % 219.27/219.55 [1456]~E(x14561,x14562)+E(f562(x14561,x14563,x14564,x14565,x14566),f562(x14562,x14563,x14564,x14565,x14566)) % 219.27/219.55 [1457]~E(x14571,x14572)+E(f562(x14573,x14571,x14574,x14575,x14576),f562(x14573,x14572,x14574,x14575,x14576)) % 219.27/219.55 [1458]~E(x14581,x14582)+E(f562(x14583,x14584,x14581,x14585,x14586),f562(x14583,x14584,x14582,x14585,x14586)) % 219.27/219.55 [1459]~E(x14591,x14592)+E(f562(x14593,x14594,x14595,x14591,x14596),f562(x14593,x14594,x14595,x14592,x14596)) % 219.27/219.55 [1460]~E(x14601,x14602)+E(f562(x14603,x14604,x14605,x14606,x14601),f562(x14603,x14604,x14605,x14606,x14602)) % 219.27/219.55 [1461]~E(x14611,x14612)+E(f607(x14611,x14613,x14614,x14615,x14616,x14617),f607(x14612,x14613,x14614,x14615,x14616,x14617)) % 219.27/219.55 [1462]~E(x14621,x14622)+E(f607(x14623,x14621,x14624,x14625,x14626,x14627),f607(x14623,x14622,x14624,x14625,x14626,x14627)) % 219.27/219.55 [1463]~E(x14631,x14632)+E(f607(x14633,x14634,x14631,x14635,x14636,x14637),f607(x14633,x14634,x14632,x14635,x14636,x14637)) % 219.27/219.55 [1464]~E(x14641,x14642)+E(f607(x14643,x14644,x14645,x14641,x14646,x14647),f607(x14643,x14644,x14645,x14642,x14646,x14647)) % 219.27/219.55 [1465]~E(x14651,x14652)+E(f607(x14653,x14654,x14655,x14656,x14651,x14657),f607(x14653,x14654,x14655,x14656,x14652,x14657)) % 219.27/219.55 [1466]~E(x14661,x14662)+E(f607(x14663,x14664,x14665,x14666,x14667,x14661),f607(x14663,x14664,x14665,x14666,x14667,x14662)) % 219.27/219.55 [1467]~E(x14671,x14672)+E(f797(x14671,x14673,x14674,x14675,x14676),f797(x14672,x14673,x14674,x14675,x14676)) % 219.27/219.55 [1468]~E(x14681,x14682)+E(f797(x14683,x14681,x14684,x14685,x14686),f797(x14683,x14682,x14684,x14685,x14686)) % 219.27/219.55 [1469]~E(x14691,x14692)+E(f797(x14693,x14694,x14691,x14695,x14696),f797(x14693,x14694,x14692,x14695,x14696)) % 219.27/219.55 [1470]~E(x14701,x14702)+E(f797(x14703,x14704,x14705,x14701,x14706),f797(x14703,x14704,x14705,x14702,x14706)) % 219.27/219.55 [1471]~E(x14711,x14712)+E(f797(x14713,x14714,x14715,x14716,x14711),f797(x14713,x14714,x14715,x14716,x14712)) % 219.27/219.55 [1472]~E(x14721,x14722)+E(f422(x14721,x14723,x14724,x14725),f422(x14722,x14723,x14724,x14725)) % 219.27/219.55 [1473]~E(x14731,x14732)+E(f422(x14733,x14731,x14734,x14735),f422(x14733,x14732,x14734,x14735)) % 219.27/219.55 [1474]~E(x14741,x14742)+E(f422(x14743,x14744,x14741,x14745),f422(x14743,x14744,x14742,x14745)) % 219.27/219.55 [1475]~E(x14751,x14752)+E(f422(x14753,x14754,x14755,x14751),f422(x14753,x14754,x14755,x14752)) % 219.27/219.55 [1476]~E(x14761,x14762)+E(f674(x14761,x14763,x14764,x14765,x14766),f674(x14762,x14763,x14764,x14765,x14766)) % 219.27/219.55 [1477]~E(x14771,x14772)+E(f674(x14773,x14771,x14774,x14775,x14776),f674(x14773,x14772,x14774,x14775,x14776)) % 219.27/219.55 [1478]~E(x14781,x14782)+E(f674(x14783,x14784,x14781,x14785,x14786),f674(x14783,x14784,x14782,x14785,x14786)) % 219.27/219.55 [1479]~E(x14791,x14792)+E(f674(x14793,x14794,x14795,x14791,x14796),f674(x14793,x14794,x14795,x14792,x14796)) % 219.27/219.55 [1480]~E(x14801,x14802)+E(f674(x14803,x14804,x14805,x14806,x14801),f674(x14803,x14804,x14805,x14806,x14802)) % 219.27/219.55 [1481]~E(x14811,x14812)+E(f433(x14811,x14813),f433(x14812,x14813)) % 219.27/219.55 [1482]~E(x14821,x14822)+E(f433(x14823,x14821),f433(x14823,x14822)) % 219.27/219.55 [1483]~E(x14831,x14832)+E(f599(x14831,x14833,x14834),f599(x14832,x14833,x14834)) % 219.27/219.55 [1484]~E(x14841,x14842)+E(f599(x14843,x14841,x14844),f599(x14843,x14842,x14844)) % 219.27/219.55 [1485]~E(x14851,x14852)+E(f599(x14853,x14854,x14851),f599(x14853,x14854,x14852)) % 219.27/219.55 [1486]~E(x14861,x14862)+E(f891(x14861,x14863,x14864,x14865,x14866),f891(x14862,x14863,x14864,x14865,x14866)) % 219.27/219.55 [1487]~E(x14871,x14872)+E(f891(x14873,x14871,x14874,x14875,x14876),f891(x14873,x14872,x14874,x14875,x14876)) % 219.27/219.55 [1488]~E(x14881,x14882)+E(f891(x14883,x14884,x14881,x14885,x14886),f891(x14883,x14884,x14882,x14885,x14886)) % 219.27/219.55 [1489]~E(x14891,x14892)+E(f891(x14893,x14894,x14895,x14891,x14896),f891(x14893,x14894,x14895,x14892,x14896)) % 219.27/219.55 [1490]~E(x14901,x14902)+E(f891(x14903,x14904,x14905,x14906,x14901),f891(x14903,x14904,x14905,x14906,x14902)) % 219.27/219.55 [1491]~E(x14911,x14912)+E(f712(x14911,x14913,x14914),f712(x14912,x14913,x14914)) % 219.27/219.55 [1492]~E(x14921,x14922)+E(f712(x14923,x14921,x14924),f712(x14923,x14922,x14924)) % 219.27/219.55 [1493]~E(x14931,x14932)+E(f712(x14933,x14934,x14931),f712(x14933,x14934,x14932)) % 219.27/219.55 [1494]~E(x14941,x14942)+E(f704(x14941,x14943,x14944,x14945,x14946),f704(x14942,x14943,x14944,x14945,x14946)) % 219.27/219.55 [1495]~E(x14951,x14952)+E(f704(x14953,x14951,x14954,x14955,x14956),f704(x14953,x14952,x14954,x14955,x14956)) % 219.27/219.55 [1496]~E(x14961,x14962)+E(f704(x14963,x14964,x14961,x14965,x14966),f704(x14963,x14964,x14962,x14965,x14966)) % 219.27/219.55 [1497]~E(x14971,x14972)+E(f704(x14973,x14974,x14975,x14971,x14976),f704(x14973,x14974,x14975,x14972,x14976)) % 219.27/219.55 [1498]~E(x14981,x14982)+E(f704(x14983,x14984,x14985,x14986,x14981),f704(x14983,x14984,x14985,x14986,x14982)) % 219.27/219.55 [1499]~E(x14991,x14992)+E(f336(x14991,x14993,x14994),f336(x14992,x14993,x14994)) % 219.27/219.55 [1500]~E(x15001,x15002)+E(f336(x15003,x15001,x15004),f336(x15003,x15002,x15004)) % 219.27/219.55 [1501]~E(x15011,x15012)+E(f336(x15013,x15014,x15011),f336(x15013,x15014,x15012)) % 219.27/219.55 [1502]~E(x15021,x15022)+E(f652(x15021,x15023,x15024,x15025),f652(x15022,x15023,x15024,x15025)) % 219.27/219.55 [1503]~E(x15031,x15032)+E(f652(x15033,x15031,x15034,x15035),f652(x15033,x15032,x15034,x15035)) % 219.27/219.55 [1504]~E(x15041,x15042)+E(f652(x15043,x15044,x15041,x15045),f652(x15043,x15044,x15042,x15045)) % 219.27/219.55 [1505]~E(x15051,x15052)+E(f652(x15053,x15054,x15055,x15051),f652(x15053,x15054,x15055,x15052)) % 219.27/219.55 [1506]~E(x15061,x15062)+E(f835(x15061,x15063),f835(x15062,x15063)) % 219.27/219.55 [1507]~E(x15071,x15072)+E(f835(x15073,x15071),f835(x15073,x15072)) % 219.27/219.55 [1508]~E(x15081,x15082)+E(f335(x15081,x15083,x15084),f335(x15082,x15083,x15084)) % 219.27/219.55 [1509]~E(x15091,x15092)+E(f335(x15093,x15091,x15094),f335(x15093,x15092,x15094)) % 219.27/219.55 [1510]~E(x15101,x15102)+E(f335(x15103,x15104,x15101),f335(x15103,x15104,x15102)) % 219.27/219.55 [1511]~E(x15111,x15112)+E(f109(x15111,x15113,x15114),f109(x15112,x15113,x15114)) % 219.27/219.55 [1512]~E(x15121,x15122)+E(f109(x15123,x15121,x15124),f109(x15123,x15122,x15124)) % 219.27/219.55 [1513]~E(x15131,x15132)+E(f109(x15133,x15134,x15131),f109(x15133,x15134,x15132)) % 219.27/219.55 [1514]~E(x15141,x15142)+E(f242(x15141,x15143,x15144),f242(x15142,x15143,x15144)) % 219.27/219.55 [1515]~E(x15151,x15152)+E(f242(x15153,x15151,x15154),f242(x15153,x15152,x15154)) % 219.27/219.55 [1516]~E(x15161,x15162)+E(f242(x15163,x15164,x15161),f242(x15163,x15164,x15162)) % 219.27/219.55 [1517]~E(x15171,x15172)+E(f527(x15171,x15173,x15174,x15175,x15176,x15177),f527(x15172,x15173,x15174,x15175,x15176,x15177)) % 219.27/219.55 [1518]~E(x15181,x15182)+E(f527(x15183,x15181,x15184,x15185,x15186,x15187),f527(x15183,x15182,x15184,x15185,x15186,x15187)) % 219.27/219.55 [1519]~E(x15191,x15192)+E(f527(x15193,x15194,x15191,x15195,x15196,x15197),f527(x15193,x15194,x15192,x15195,x15196,x15197)) % 219.27/219.55 [1520]~E(x15201,x15202)+E(f527(x15203,x15204,x15205,x15201,x15206,x15207),f527(x15203,x15204,x15205,x15202,x15206,x15207)) % 219.27/219.55 [1521]~E(x15211,x15212)+E(f527(x15213,x15214,x15215,x15216,x15211,x15217),f527(x15213,x15214,x15215,x15216,x15212,x15217)) % 219.27/219.55 [1522]~E(x15221,x15222)+E(f527(x15223,x15224,x15225,x15226,x15227,x15221),f527(x15223,x15224,x15225,x15226,x15227,x15222)) % 219.27/219.55 [1523]~E(x15231,x15232)+E(f807(x15231,x15233,x15234,x15235),f807(x15232,x15233,x15234,x15235)) % 219.27/219.55 [1524]~E(x15241,x15242)+E(f807(x15243,x15241,x15244,x15245),f807(x15243,x15242,x15244,x15245)) % 219.27/219.55 [1525]~E(x15251,x15252)+E(f807(x15253,x15254,x15251,x15255),f807(x15253,x15254,x15252,x15255)) % 219.27/219.55 [1526]~E(x15261,x15262)+E(f807(x15263,x15264,x15265,x15261),f807(x15263,x15264,x15265,x15262)) % 219.27/219.55 [1527]~E(x15271,x15272)+E(f437(x15271,x15273,x15274,x15275,x15276,x15277),f437(x15272,x15273,x15274,x15275,x15276,x15277)) % 219.27/219.55 [1528]~E(x15281,x15282)+E(f437(x15283,x15281,x15284,x15285,x15286,x15287),f437(x15283,x15282,x15284,x15285,x15286,x15287)) % 219.27/219.55 [1529]~E(x15291,x15292)+E(f437(x15293,x15294,x15291,x15295,x15296,x15297),f437(x15293,x15294,x15292,x15295,x15296,x15297)) % 219.27/219.55 [1530]~E(x15301,x15302)+E(f437(x15303,x15304,x15305,x15301,x15306,x15307),f437(x15303,x15304,x15305,x15302,x15306,x15307)) % 219.27/219.55 [1531]~E(x15311,x15312)+E(f437(x15313,x15314,x15315,x15316,x15311,x15317),f437(x15313,x15314,x15315,x15316,x15312,x15317)) % 219.27/219.55 [1532]~E(x15321,x15322)+E(f437(x15323,x15324,x15325,x15326,x15327,x15321),f437(x15323,x15324,x15325,x15326,x15327,x15322)) % 219.27/219.55 [1533]~E(x15331,x15332)+E(f518(x15331,x15333,x15334),f518(x15332,x15333,x15334)) % 219.27/219.55 [1534]~E(x15341,x15342)+E(f518(x15343,x15341,x15344),f518(x15343,x15342,x15344)) % 219.27/219.55 [1535]~E(x15351,x15352)+E(f518(x15353,x15354,x15351),f518(x15353,x15354,x15352)) % 219.27/219.55 [1536]~E(x15361,x15362)+E(f703(x15361,x15363,x15364,x15365,x15366),f703(x15362,x15363,x15364,x15365,x15366)) % 219.27/219.55 [1537]~E(x15371,x15372)+E(f703(x15373,x15371,x15374,x15375,x15376),f703(x15373,x15372,x15374,x15375,x15376)) % 219.27/219.55 [1538]~E(x15381,x15382)+E(f703(x15383,x15384,x15381,x15385,x15386),f703(x15383,x15384,x15382,x15385,x15386)) % 219.27/219.55 [1539]~E(x15391,x15392)+E(f703(x15393,x15394,x15395,x15391,x15396),f703(x15393,x15394,x15395,x15392,x15396)) % 219.27/219.55 [1540]~E(x15401,x15402)+E(f703(x15403,x15404,x15405,x15406,x15401),f703(x15403,x15404,x15405,x15406,x15402)) % 219.27/219.55 [1541]~E(x15411,x15412)+E(f291(x15411,x15413,x15414,x15415),f291(x15412,x15413,x15414,x15415)) % 219.27/219.55 [1542]~E(x15421,x15422)+E(f291(x15423,x15421,x15424,x15425),f291(x15423,x15422,x15424,x15425)) % 219.27/219.55 [1543]~E(x15431,x15432)+E(f291(x15433,x15434,x15431,x15435),f291(x15433,x15434,x15432,x15435)) % 219.27/219.55 [1544]~E(x15441,x15442)+E(f291(x15443,x15444,x15445,x15441),f291(x15443,x15444,x15445,x15442)) % 219.27/219.55 [1545]~E(x15451,x15452)+E(f82(x15451),f82(x15452)) % 219.27/219.55 [1546]~E(x15461,x15462)+E(f166(x15461,x15463,x15464),f166(x15462,x15463,x15464)) % 219.27/219.55 [1547]~E(x15471,x15472)+E(f166(x15473,x15471,x15474),f166(x15473,x15472,x15474)) % 219.27/219.55 [1548]~E(x15481,x15482)+E(f166(x15483,x15484,x15481),f166(x15483,x15484,x15482)) % 219.27/219.55 [1549]~E(x15491,x15492)+E(f621(x15491,x15493,x15494,x15495,x15496,x15497,x15498,x15499),f621(x15492,x15493,x15494,x15495,x15496,x15497,x15498,x15499)) % 219.27/219.55 [1550]~E(x15501,x15502)+E(f621(x15503,x15501,x15504,x15505,x15506,x15507,x15508,x15509),f621(x15503,x15502,x15504,x15505,x15506,x15507,x15508,x15509)) % 219.27/219.55 [1551]~E(x15511,x15512)+E(f621(x15513,x15514,x15511,x15515,x15516,x15517,x15518,x15519),f621(x15513,x15514,x15512,x15515,x15516,x15517,x15518,x15519)) % 219.27/219.55 [1552]~E(x15521,x15522)+E(f621(x15523,x15524,x15525,x15521,x15526,x15527,x15528,x15529),f621(x15523,x15524,x15525,x15522,x15526,x15527,x15528,x15529)) % 219.27/219.55 [1553]~E(x15531,x15532)+E(f621(x15533,x15534,x15535,x15536,x15531,x15537,x15538,x15539),f621(x15533,x15534,x15535,x15536,x15532,x15537,x15538,x15539)) % 219.27/219.55 [1554]~E(x15541,x15542)+E(f621(x15543,x15544,x15545,x15546,x15547,x15541,x15548,x15549),f621(x15543,x15544,x15545,x15546,x15547,x15542,x15548,x15549)) % 219.27/219.55 [1555]~E(x15551,x15552)+E(f621(x15553,x15554,x15555,x15556,x15557,x15558,x15551,x15559),f621(x15553,x15554,x15555,x15556,x15557,x15558,x15552,x15559)) % 219.27/219.55 [1556]~E(x15561,x15562)+E(f621(x15563,x15564,x15565,x15566,x15567,x15568,x15569,x15561),f621(x15563,x15564,x15565,x15566,x15567,x15568,x15569,x15562)) % 219.27/219.55 [1557]~E(x15571,x15572)+E(f587(x15571,x15573,x15574,x15575,x15576,x15577,x15578,x15579),f587(x15572,x15573,x15574,x15575,x15576,x15577,x15578,x15579)) % 219.27/219.55 [1558]~E(x15581,x15582)+E(f587(x15583,x15581,x15584,x15585,x15586,x15587,x15588,x15589),f587(x15583,x15582,x15584,x15585,x15586,x15587,x15588,x15589)) % 219.27/219.55 [1559]~E(x15591,x15592)+E(f587(x15593,x15594,x15591,x15595,x15596,x15597,x15598,x15599),f587(x15593,x15594,x15592,x15595,x15596,x15597,x15598,x15599)) % 219.27/219.55 [1560]~E(x15601,x15602)+E(f587(x15603,x15604,x15605,x15601,x15606,x15607,x15608,x15609),f587(x15603,x15604,x15605,x15602,x15606,x15607,x15608,x15609)) % 219.27/219.55 [1561]~E(x15611,x15612)+E(f587(x15613,x15614,x15615,x15616,x15611,x15617,x15618,x15619),f587(x15613,x15614,x15615,x15616,x15612,x15617,x15618,x15619)) % 219.27/219.55 [1562]~E(x15621,x15622)+E(f587(x15623,x15624,x15625,x15626,x15627,x15621,x15628,x15629),f587(x15623,x15624,x15625,x15626,x15627,x15622,x15628,x15629)) % 219.27/219.55 [1563]~E(x15631,x15632)+E(f587(x15633,x15634,x15635,x15636,x15637,x15638,x15631,x15639),f587(x15633,x15634,x15635,x15636,x15637,x15638,x15632,x15639)) % 219.27/219.55 [1564]~E(x15641,x15642)+E(f587(x15643,x15644,x15645,x15646,x15647,x15648,x15649,x15641),f587(x15643,x15644,x15645,x15646,x15647,x15648,x15649,x15642)) % 219.27/219.55 [1565]~E(x15651,x15652)+E(f341(x15651,x15653,x15654,x15655),f341(x15652,x15653,x15654,x15655)) % 219.27/219.55 [1566]~E(x15661,x15662)+E(f341(x15663,x15661,x15664,x15665),f341(x15663,x15662,x15664,x15665)) % 219.27/219.55 [1567]~E(x15671,x15672)+E(f341(x15673,x15674,x15671,x15675),f341(x15673,x15674,x15672,x15675)) % 219.27/219.55 [1568]~E(x15681,x15682)+E(f341(x15683,x15684,x15685,x15681),f341(x15683,x15684,x15685,x15682)) % 219.27/219.55 [1569]~E(x15691,x15692)+E(f836(x15691,x15693),f836(x15692,x15693)) % 219.27/219.55 [1570]~E(x15701,x15702)+E(f836(x15703,x15701),f836(x15703,x15702)) % 219.27/219.55 [1571]~E(x15711,x15712)+E(f885(x15711,x15713,x15714),f885(x15712,x15713,x15714)) % 219.27/219.55 [1572]~E(x15721,x15722)+E(f885(x15723,x15721,x15724),f885(x15723,x15722,x15724)) % 219.27/219.55 [1573]~E(x15731,x15732)+E(f885(x15733,x15734,x15731),f885(x15733,x15734,x15732)) % 219.27/219.55 [1574]~E(x15741,x15742)+E(f623(x15741,x15743),f623(x15742,x15743)) % 219.27/219.55 [1575]~E(x15751,x15752)+E(f623(x15753,x15751),f623(x15753,x15752)) % 219.27/219.55 [1576]~E(x15761,x15762)+E(f742(x15761,x15763),f742(x15762,x15763)) % 219.27/219.55 [1577]~E(x15771,x15772)+E(f742(x15773,x15771),f742(x15773,x15772)) % 219.27/219.55 [1578]~E(x15781,x15782)+E(f200(x15781),f200(x15782)) % 219.27/219.55 [1579]~E(x15791,x15792)+E(f62(x15791,x15793,x15794),f62(x15792,x15793,x15794)) % 219.27/219.55 [1580]~E(x15801,x15802)+E(f62(x15803,x15801,x15804),f62(x15803,x15802,x15804)) % 219.27/219.55 [1581]~E(x15811,x15812)+E(f62(x15813,x15814,x15811),f62(x15813,x15814,x15812)) % 219.27/219.55 [1582]~E(x15821,x15822)+E(f331(x15821,x15823),f331(x15822,x15823)) % 219.27/219.55 [1583]~E(x15831,x15832)+E(f331(x15833,x15831),f331(x15833,x15832)) % 219.27/219.55 [1584]~E(x15841,x15842)+E(f671(x15841,x15843,x15844,x15845),f671(x15842,x15843,x15844,x15845)) % 219.27/219.55 [1585]~E(x15851,x15852)+E(f671(x15853,x15851,x15854,x15855),f671(x15853,x15852,x15854,x15855)) % 219.27/219.55 [1586]~E(x15861,x15862)+E(f671(x15863,x15864,x15861,x15865),f671(x15863,x15864,x15862,x15865)) % 219.27/219.55 [1587]~E(x15871,x15872)+E(f671(x15873,x15874,x15875,x15871),f671(x15873,x15874,x15875,x15872)) % 219.27/219.55 [1588]~E(x15881,x15882)+E(f646(x15881,x15883,x15884,x15885,x15886),f646(x15882,x15883,x15884,x15885,x15886)) % 219.27/219.55 [1589]~E(x15891,x15892)+E(f646(x15893,x15891,x15894,x15895,x15896),f646(x15893,x15892,x15894,x15895,x15896)) % 219.27/219.55 [1590]~E(x15901,x15902)+E(f646(x15903,x15904,x15901,x15905,x15906),f646(x15903,x15904,x15902,x15905,x15906)) % 219.27/219.55 [1591]~E(x15911,x15912)+E(f646(x15913,x15914,x15915,x15911,x15916),f646(x15913,x15914,x15915,x15912,x15916)) % 219.27/219.55 [1592]~E(x15921,x15922)+E(f646(x15923,x15924,x15925,x15926,x15921),f646(x15923,x15924,x15925,x15926,x15922)) % 219.27/219.55 [1593]~E(x15931,x15932)+E(f592(x15931,x15933,x15934,x15935),f592(x15932,x15933,x15934,x15935)) % 219.27/219.55 [1594]~E(x15941,x15942)+E(f592(x15943,x15941,x15944,x15945),f592(x15943,x15942,x15944,x15945)) % 219.27/219.55 [1595]~E(x15951,x15952)+E(f592(x15953,x15954,x15951,x15955),f592(x15953,x15954,x15952,x15955)) % 219.27/219.55 [1596]~E(x15961,x15962)+E(f592(x15963,x15964,x15965,x15961),f592(x15963,x15964,x15965,x15962)) % 219.27/219.55 [1597]~E(x15971,x15972)+E(f841(x15971,x15973,x15974,x15975),f841(x15972,x15973,x15974,x15975)) % 219.27/219.55 [1598]~E(x15981,x15982)+E(f841(x15983,x15981,x15984,x15985),f841(x15983,x15982,x15984,x15985)) % 219.27/219.55 [1599]~E(x15991,x15992)+E(f841(x15993,x15994,x15991,x15995),f841(x15993,x15994,x15992,x15995)) % 219.27/219.55 [1600]~E(x16001,x16002)+E(f841(x16003,x16004,x16005,x16001),f841(x16003,x16004,x16005,x16002)) % 219.27/219.55 [1601]~E(x16011,x16012)+E(f441(x16011,x16013,x16014),f441(x16012,x16013,x16014)) % 219.27/219.55 [1602]~E(x16021,x16022)+E(f441(x16023,x16021,x16024),f441(x16023,x16022,x16024)) % 219.27/219.55 [1603]~E(x16031,x16032)+E(f441(x16033,x16034,x16031),f441(x16033,x16034,x16032)) % 219.27/219.55 [1604]~E(x16041,x16042)+E(f837(x16041,x16043),f837(x16042,x16043)) % 219.27/219.55 [1605]~E(x16051,x16052)+E(f837(x16053,x16051),f837(x16053,x16052)) % 219.27/219.55 [1606]~E(x16061,x16062)+E(f138(x16061,x16063),f138(x16062,x16063)) % 219.27/219.55 [1607]~E(x16071,x16072)+E(f138(x16073,x16071),f138(x16073,x16072)) % 219.27/219.55 [1608]~E(x16081,x16082)+E(f593(x16081,x16083,x16084),f593(x16082,x16083,x16084)) % 219.27/219.55 [1609]~E(x16091,x16092)+E(f593(x16093,x16091,x16094),f593(x16093,x16092,x16094)) % 219.27/219.55 [1610]~E(x16101,x16102)+E(f593(x16103,x16104,x16101),f593(x16103,x16104,x16102)) % 219.27/219.55 [1611]~E(x16111,x16112)+E(f880(x16111,x16113,x16114),f880(x16112,x16113,x16114)) % 219.27/219.55 [1612]~E(x16121,x16122)+E(f880(x16123,x16121,x16124),f880(x16123,x16122,x16124)) % 219.27/219.55 [1613]~E(x16131,x16132)+E(f880(x16133,x16134,x16131),f880(x16133,x16134,x16132)) % 219.27/219.55 [1614]~E(x16141,x16142)+E(f533(x16141,x16143,x16144),f533(x16142,x16143,x16144)) % 219.27/219.55 [1615]~E(x16151,x16152)+E(f533(x16153,x16151,x16154),f533(x16153,x16152,x16154)) % 219.27/219.55 [1616]~E(x16161,x16162)+E(f533(x16163,x16164,x16161),f533(x16163,x16164,x16162)) % 219.27/219.55 [1617]~E(x16171,x16172)+E(f478(x16171,x16173,x16174),f478(x16172,x16173,x16174)) % 219.27/219.55 [1618]~E(x16181,x16182)+E(f478(x16183,x16181,x16184),f478(x16183,x16182,x16184)) % 219.27/219.55 [1619]~E(x16191,x16192)+E(f478(x16193,x16194,x16191),f478(x16193,x16194,x16192)) % 219.27/219.55 [1620]~E(x16201,x16202)+E(f351(x16201,x16203),f351(x16202,x16203)) % 219.27/219.55 [1621]~E(x16211,x16212)+E(f351(x16213,x16211),f351(x16213,x16212)) % 219.27/219.55 [1622]~E(x16221,x16222)+E(f399(x16221,x16223,x16224,x16225),f399(x16222,x16223,x16224,x16225)) % 219.27/219.55 [1623]~E(x16231,x16232)+E(f399(x16233,x16231,x16234,x16235),f399(x16233,x16232,x16234,x16235)) % 219.27/219.55 [1624]~E(x16241,x16242)+E(f399(x16243,x16244,x16241,x16245),f399(x16243,x16244,x16242,x16245)) % 219.27/219.55 [1625]~E(x16251,x16252)+E(f399(x16253,x16254,x16255,x16251),f399(x16253,x16254,x16255,x16252)) % 219.27/219.55 [1626]~E(x16261,x16262)+E(f182(x16261,x16263,x16264,x16265),f182(x16262,x16263,x16264,x16265)) % 219.27/219.55 [1627]~E(x16271,x16272)+E(f182(x16273,x16271,x16274,x16275),f182(x16273,x16272,x16274,x16275)) % 219.27/219.55 [1628]~E(x16281,x16282)+E(f182(x16283,x16284,x16281,x16285),f182(x16283,x16284,x16282,x16285)) % 219.27/219.55 [1629]~E(x16291,x16292)+E(f182(x16293,x16294,x16295,x16291),f182(x16293,x16294,x16295,x16292)) % 219.27/219.55 [1630]~E(x16301,x16302)+E(f350(x16301,x16303,x16304,x16305,x16306),f350(x16302,x16303,x16304,x16305,x16306)) % 219.27/219.55 [1631]~E(x16311,x16312)+E(f350(x16313,x16311,x16314,x16315,x16316),f350(x16313,x16312,x16314,x16315,x16316)) % 219.27/219.55 [1632]~E(x16321,x16322)+E(f350(x16323,x16324,x16321,x16325,x16326),f350(x16323,x16324,x16322,x16325,x16326)) % 219.27/219.55 [1633]~E(x16331,x16332)+E(f350(x16333,x16334,x16335,x16331,x16336),f350(x16333,x16334,x16335,x16332,x16336)) % 219.27/219.55 [1634]~E(x16341,x16342)+E(f350(x16343,x16344,x16345,x16346,x16341),f350(x16343,x16344,x16345,x16346,x16342)) % 219.27/219.55 [1635]~E(x16351,x16352)+E(f644(x16351,x16353,x16354,x16355,x16356),f644(x16352,x16353,x16354,x16355,x16356)) % 219.27/219.55 [1636]~E(x16361,x16362)+E(f644(x16363,x16361,x16364,x16365,x16366),f644(x16363,x16362,x16364,x16365,x16366)) % 219.27/219.55 [1637]~E(x16371,x16372)+E(f644(x16373,x16374,x16371,x16375,x16376),f644(x16373,x16374,x16372,x16375,x16376)) % 219.27/219.55 [1638]~E(x16381,x16382)+E(f644(x16383,x16384,x16385,x16381,x16386),f644(x16383,x16384,x16385,x16382,x16386)) % 219.27/219.55 [1639]~E(x16391,x16392)+E(f644(x16393,x16394,x16395,x16396,x16391),f644(x16393,x16394,x16395,x16396,x16392)) % 219.27/219.55 [1640]~E(x16401,x16402)+E(f757(x16401,x16403,x16404),f757(x16402,x16403,x16404)) % 219.27/219.55 [1641]~E(x16411,x16412)+E(f757(x16413,x16411,x16414),f757(x16413,x16412,x16414)) % 219.27/219.55 [1642]~E(x16421,x16422)+E(f757(x16423,x16424,x16421),f757(x16423,x16424,x16422)) % 219.27/219.55 [1643]~E(x16431,x16432)+E(f344(x16431,x16433,x16434,x16435,x16436,x16437,x16438),f344(x16432,x16433,x16434,x16435,x16436,x16437,x16438)) % 219.27/219.55 [1644]~E(x16441,x16442)+E(f344(x16443,x16441,x16444,x16445,x16446,x16447,x16448),f344(x16443,x16442,x16444,x16445,x16446,x16447,x16448)) % 219.27/219.55 [1645]~E(x16451,x16452)+E(f344(x16453,x16454,x16451,x16455,x16456,x16457,x16458),f344(x16453,x16454,x16452,x16455,x16456,x16457,x16458)) % 219.27/219.55 [1646]~E(x16461,x16462)+E(f344(x16463,x16464,x16465,x16461,x16466,x16467,x16468),f344(x16463,x16464,x16465,x16462,x16466,x16467,x16468)) % 219.27/219.55 [1647]~E(x16471,x16472)+E(f344(x16473,x16474,x16475,x16476,x16471,x16477,x16478),f344(x16473,x16474,x16475,x16476,x16472,x16477,x16478)) % 219.27/219.55 [1648]~E(x16481,x16482)+E(f344(x16483,x16484,x16485,x16486,x16487,x16481,x16488),f344(x16483,x16484,x16485,x16486,x16487,x16482,x16488)) % 219.27/219.55 [1649]~E(x16491,x16492)+E(f344(x16493,x16494,x16495,x16496,x16497,x16498,x16491),f344(x16493,x16494,x16495,x16496,x16497,x16498,x16492)) % 219.27/219.55 [1650]~E(x16501,x16502)+E(f747(x16501,x16503),f747(x16502,x16503)) % 219.27/219.55 [1651]~E(x16511,x16512)+E(f747(x16513,x16511),f747(x16513,x16512)) % 219.27/219.55 [1652]~E(x16521,x16522)+E(f269(x16521,x16523,x16524,x16525),f269(x16522,x16523,x16524,x16525)) % 219.27/219.55 [1653]~E(x16531,x16532)+E(f269(x16533,x16531,x16534,x16535),f269(x16533,x16532,x16534,x16535)) % 219.27/219.55 [1654]~E(x16541,x16542)+E(f269(x16543,x16544,x16541,x16545),f269(x16543,x16544,x16542,x16545)) % 219.27/219.55 [1655]~E(x16551,x16552)+E(f269(x16553,x16554,x16555,x16551),f269(x16553,x16554,x16555,x16552)) % 219.27/219.55 [1656]~E(x16561,x16562)+E(f793(x16561,x16563,x16564,x16565,x16566),f793(x16562,x16563,x16564,x16565,x16566)) % 219.27/219.55 [1657]~E(x16571,x16572)+E(f793(x16573,x16571,x16574,x16575,x16576),f793(x16573,x16572,x16574,x16575,x16576)) % 219.27/219.55 [1658]~E(x16581,x16582)+E(f793(x16583,x16584,x16581,x16585,x16586),f793(x16583,x16584,x16582,x16585,x16586)) % 219.27/219.55 [1659]~E(x16591,x16592)+E(f793(x16593,x16594,x16595,x16591,x16596),f793(x16593,x16594,x16595,x16592,x16596)) % 219.27/219.55 [1660]~E(x16601,x16602)+E(f793(x16603,x16604,x16605,x16606,x16601),f793(x16603,x16604,x16605,x16606,x16602)) % 219.27/219.55 [1661]~E(x16611,x16612)+E(f569(x16611,x16613,x16614),f569(x16612,x16613,x16614)) % 219.27/219.55 [1662]~E(x16621,x16622)+E(f569(x16623,x16621,x16624),f569(x16623,x16622,x16624)) % 219.27/219.55 [1663]~E(x16631,x16632)+E(f569(x16633,x16634,x16631),f569(x16633,x16634,x16632)) % 219.27/219.55 [1664]~E(x16641,x16642)+E(f751(x16641,x16643),f751(x16642,x16643)) % 219.27/219.55 [1665]~E(x16651,x16652)+E(f751(x16653,x16651),f751(x16653,x16652)) % 219.27/219.55 [1666]~E(x16661,x16662)+E(f417(x16661,x16663,x16664,x16665,x16666),f417(x16662,x16663,x16664,x16665,x16666)) % 219.27/219.55 [1667]~E(x16671,x16672)+E(f417(x16673,x16671,x16674,x16675,x16676),f417(x16673,x16672,x16674,x16675,x16676)) % 219.27/219.55 [1668]~E(x16681,x16682)+E(f417(x16683,x16684,x16681,x16685,x16686),f417(x16683,x16684,x16682,x16685,x16686)) % 219.27/219.55 [1669]~E(x16691,x16692)+E(f417(x16693,x16694,x16695,x16691,x16696),f417(x16693,x16694,x16695,x16692,x16696)) % 219.27/219.55 [1670]~E(x16701,x16702)+E(f417(x16703,x16704,x16705,x16706,x16701),f417(x16703,x16704,x16705,x16706,x16702)) % 219.27/219.55 [1671]~E(x16711,x16712)+E(f619(x16711,x16713,x16714,x16715,x16716),f619(x16712,x16713,x16714,x16715,x16716)) % 219.27/219.55 [1672]~E(x16721,x16722)+E(f619(x16723,x16721,x16724,x16725,x16726),f619(x16723,x16722,x16724,x16725,x16726)) % 219.27/219.55 [1673]~E(x16731,x16732)+E(f619(x16733,x16734,x16731,x16735,x16736),f619(x16733,x16734,x16732,x16735,x16736)) % 219.27/219.55 [1674]~E(x16741,x16742)+E(f619(x16743,x16744,x16745,x16741,x16746),f619(x16743,x16744,x16745,x16742,x16746)) % 219.27/219.55 [1675]~E(x16751,x16752)+E(f619(x16753,x16754,x16755,x16756,x16751),f619(x16753,x16754,x16755,x16756,x16752)) % 219.27/219.55 [1676]~E(x16761,x16762)+E(f479(x16761,x16763,x16764),f479(x16762,x16763,x16764)) % 219.27/219.55 [1677]~E(x16771,x16772)+E(f479(x16773,x16771,x16774),f479(x16773,x16772,x16774)) % 219.27/219.55 [1678]~E(x16781,x16782)+E(f479(x16783,x16784,x16781),f479(x16783,x16784,x16782)) % 219.27/219.55 [1679]~E(x16791,x16792)+E(f627(x16791,x16793,x16794),f627(x16792,x16793,x16794)) % 219.27/219.55 [1680]~E(x16801,x16802)+E(f627(x16803,x16801,x16804),f627(x16803,x16802,x16804)) % 219.27/219.55 [1681]~E(x16811,x16812)+E(f627(x16813,x16814,x16811),f627(x16813,x16814,x16812)) % 219.27/219.55 [1682]~E(x16821,x16822)+E(f444(x16821,x16823,x16824),f444(x16822,x16823,x16824)) % 219.27/219.55 [1683]~E(x16831,x16832)+E(f444(x16833,x16831,x16834),f444(x16833,x16832,x16834)) % 219.27/219.55 [1684]~E(x16841,x16842)+E(f444(x16843,x16844,x16841),f444(x16843,x16844,x16842)) % 219.27/219.55 [1685]~E(x16851,x16852)+E(f445(x16851,x16853,x16854,x16855,x16856),f445(x16852,x16853,x16854,x16855,x16856)) % 219.27/219.55 [1686]~E(x16861,x16862)+E(f445(x16863,x16861,x16864,x16865,x16866),f445(x16863,x16862,x16864,x16865,x16866)) % 219.27/219.55 [1687]~E(x16871,x16872)+E(f445(x16873,x16874,x16871,x16875,x16876),f445(x16873,x16874,x16872,x16875,x16876)) % 219.27/219.55 [1688]~E(x16881,x16882)+E(f445(x16883,x16884,x16885,x16881,x16886),f445(x16883,x16884,x16885,x16882,x16886)) % 219.27/219.55 [1689]~E(x16891,x16892)+E(f445(x16893,x16894,x16895,x16896,x16891),f445(x16893,x16894,x16895,x16896,x16892)) % 219.27/219.55 [1690]~E(x16901,x16902)+E(f456(x16901,x16903),f456(x16902,x16903)) % 219.27/219.55 [1691]~E(x16911,x16912)+E(f456(x16913,x16911),f456(x16913,x16912)) % 219.27/219.55 [1692]~E(x16921,x16922)+E(f414(x16921,x16923,x16924,x16925,x16926,x16927),f414(x16922,x16923,x16924,x16925,x16926,x16927)) % 219.27/219.55 [1693]~E(x16931,x16932)+E(f414(x16933,x16931,x16934,x16935,x16936,x16937),f414(x16933,x16932,x16934,x16935,x16936,x16937)) % 219.27/219.55 [1694]~E(x16941,x16942)+E(f414(x16943,x16944,x16941,x16945,x16946,x16947),f414(x16943,x16944,x16942,x16945,x16946,x16947)) % 219.27/219.55 [1695]~E(x16951,x16952)+E(f414(x16953,x16954,x16955,x16951,x16956,x16957),f414(x16953,x16954,x16955,x16952,x16956,x16957)) % 219.27/219.55 [1696]~E(x16961,x16962)+E(f414(x16963,x16964,x16965,x16966,x16961,x16967),f414(x16963,x16964,x16965,x16966,x16962,x16967)) % 219.27/219.55 [1697]~E(x16971,x16972)+E(f414(x16973,x16974,x16975,x16976,x16977,x16971),f414(x16973,x16974,x16975,x16976,x16977,x16972)) % 219.27/219.55 [1698]~E(x16981,x16982)+E(f38(x16981),f38(x16982)) % 219.27/219.55 [1699]~E(x16991,x16992)+E(f196(x16991),f196(x16992)) % 219.27/219.55 [1700]~E(x17001,x17002)+E(f176(x17001,x17003,x17004),f176(x17002,x17003,x17004)) % 219.27/219.55 [1701]~E(x17011,x17012)+E(f176(x17013,x17011,x17014),f176(x17013,x17012,x17014)) % 219.27/219.55 [1702]~E(x17021,x17022)+E(f176(x17023,x17024,x17021),f176(x17023,x17024,x17022)) % 219.27/219.55 [1703]~E(x17031,x17032)+E(f694(x17031,x17033),f694(x17032,x17033)) % 219.27/219.55 [1704]~E(x17041,x17042)+E(f694(x17043,x17041),f694(x17043,x17042)) % 219.27/219.55 [1705]~E(x17051,x17052)+E(f71(x17051,x17053,x17054,x17055),f71(x17052,x17053,x17054,x17055)) % 219.27/219.55 [1706]~E(x17061,x17062)+E(f71(x17063,x17061,x17064,x17065),f71(x17063,x17062,x17064,x17065)) % 219.27/219.55 [1707]~E(x17071,x17072)+E(f71(x17073,x17074,x17071,x17075),f71(x17073,x17074,x17072,x17075)) % 219.27/219.55 [1708]~E(x17081,x17082)+E(f71(x17083,x17084,x17085,x17081),f71(x17083,x17084,x17085,x17082)) % 219.27/219.55 [1709]~E(x17091,x17092)+E(f596(x17091),f596(x17092)) % 219.27/219.55 [1710]~E(x17101,x17102)+E(f186(x17101,x17103),f186(x17102,x17103)) % 219.27/219.55 [1711]~E(x17111,x17112)+E(f186(x17113,x17111),f186(x17113,x17112)) % 219.27/219.55 [1712]~E(x17121,x17122)+E(f602(x17121,x17123,x17124,x17125),f602(x17122,x17123,x17124,x17125)) % 219.27/219.55 [1713]~E(x17131,x17132)+E(f602(x17133,x17131,x17134,x17135),f602(x17133,x17132,x17134,x17135)) % 219.27/219.55 [1714]~E(x17141,x17142)+E(f602(x17143,x17144,x17141,x17145),f602(x17143,x17144,x17142,x17145)) % 219.27/219.55 [1715]~E(x17151,x17152)+E(f602(x17153,x17154,x17155,x17151),f602(x17153,x17154,x17155,x17152)) % 219.27/219.55 [1716]~E(x17161,x17162)+E(f738(x17161,x17163),f738(x17162,x17163)) % 219.27/219.55 [1717]~E(x17171,x17172)+E(f738(x17173,x17171),f738(x17173,x17172)) % 219.27/219.55 [1718]~E(x17181,x17182)+E(f676(x17181,x17183,x17184,x17185,x17186),f676(x17182,x17183,x17184,x17185,x17186)) % 219.27/219.55 [1719]~E(x17191,x17192)+E(f676(x17193,x17191,x17194,x17195,x17196),f676(x17193,x17192,x17194,x17195,x17196)) % 219.27/219.55 [1720]~E(x17201,x17202)+E(f676(x17203,x17204,x17201,x17205,x17206),f676(x17203,x17204,x17202,x17205,x17206)) % 219.27/219.55 [1721]~E(x17211,x17212)+E(f676(x17213,x17214,x17215,x17211,x17216),f676(x17213,x17214,x17215,x17212,x17216)) % 219.27/219.55 [1722]~E(x17221,x17222)+E(f676(x17223,x17224,x17225,x17226,x17221),f676(x17223,x17224,x17225,x17226,x17222)) % 219.27/219.55 [1723]~E(x17231,x17232)+E(f423(x17231,x17233,x17234),f423(x17232,x17233,x17234)) % 219.27/219.55 [1724]~E(x17241,x17242)+E(f423(x17243,x17241,x17244),f423(x17243,x17242,x17244)) % 219.27/219.55 [1725]~E(x17251,x17252)+E(f423(x17253,x17254,x17251),f423(x17253,x17254,x17252)) % 219.27/219.55 [1726]~E(x17261,x17262)+E(f637(x17261,x17263,x17264,x17265,x17266),f637(x17262,x17263,x17264,x17265,x17266)) % 219.27/219.55 [1727]~E(x17271,x17272)+E(f637(x17273,x17271,x17274,x17275,x17276),f637(x17273,x17272,x17274,x17275,x17276)) % 219.27/219.55 [1728]~E(x17281,x17282)+E(f637(x17283,x17284,x17281,x17285,x17286),f637(x17283,x17284,x17282,x17285,x17286)) % 219.27/219.55 [1729]~E(x17291,x17292)+E(f637(x17293,x17294,x17295,x17291,x17296),f637(x17293,x17294,x17295,x17292,x17296)) % 219.27/219.55 [1730]~E(x17301,x17302)+E(f637(x17303,x17304,x17305,x17306,x17301),f637(x17303,x17304,x17305,x17306,x17302)) % 219.27/219.55 [1731]~E(x17311,x17312)+E(f663(x17311,x17313),f663(x17312,x17313)) % 219.27/219.55 [1732]~E(x17321,x17322)+E(f663(x17323,x17321),f663(x17323,x17322)) % 219.27/219.55 [1733]~E(x17331,x17332)+E(f852(x17331,x17333,x17334,x17335,x17336,x17337,x17338,x17339),f852(x17332,x17333,x17334,x17335,x17336,x17337,x17338,x17339)) % 219.27/219.55 [1734]~E(x17341,x17342)+E(f852(x17343,x17341,x17344,x17345,x17346,x17347,x17348,x17349),f852(x17343,x17342,x17344,x17345,x17346,x17347,x17348,x17349)) % 219.27/219.55 [1735]~E(x17351,x17352)+E(f852(x17353,x17354,x17351,x17355,x17356,x17357,x17358,x17359),f852(x17353,x17354,x17352,x17355,x17356,x17357,x17358,x17359)) % 219.27/219.55 [1736]~E(x17361,x17362)+E(f852(x17363,x17364,x17365,x17361,x17366,x17367,x17368,x17369),f852(x17363,x17364,x17365,x17362,x17366,x17367,x17368,x17369)) % 219.27/219.55 [1737]~E(x17371,x17372)+E(f852(x17373,x17374,x17375,x17376,x17371,x17377,x17378,x17379),f852(x17373,x17374,x17375,x17376,x17372,x17377,x17378,x17379)) % 219.27/219.55 [1738]~E(x17381,x17382)+E(f852(x17383,x17384,x17385,x17386,x17387,x17381,x17388,x17389),f852(x17383,x17384,x17385,x17386,x17387,x17382,x17388,x17389)) % 219.27/219.55 [1739]~E(x17391,x17392)+E(f852(x17393,x17394,x17395,x17396,x17397,x17398,x17391,x17399),f852(x17393,x17394,x17395,x17396,x17397,x17398,x17392,x17399)) % 219.27/219.55 [1740]~E(x17401,x17402)+E(f852(x17403,x17404,x17405,x17406,x17407,x17408,x17409,x17401),f852(x17403,x17404,x17405,x17406,x17407,x17408,x17409,x17402)) % 219.27/219.55 [1741]~E(x17411,x17412)+E(f531(x17411,x17413,x17414),f531(x17412,x17413,x17414)) % 219.27/219.55 [1742]~E(x17421,x17422)+E(f531(x17423,x17421,x17424),f531(x17423,x17422,x17424)) % 219.27/219.55 [1743]~E(x17431,x17432)+E(f531(x17433,x17434,x17431),f531(x17433,x17434,x17432)) % 219.27/219.55 [1744]~E(x17441,x17442)+E(f194(x17441,x17443),f194(x17442,x17443)) % 219.27/219.55 [1745]~E(x17451,x17452)+E(f194(x17453,x17451),f194(x17453,x17452)) % 219.27/219.55 [1746]~E(x17461,x17462)+E(f288(x17461,x17463,x17464),f288(x17462,x17463,x17464)) % 219.27/219.55 [1747]~E(x17471,x17472)+E(f288(x17473,x17471,x17474),f288(x17473,x17472,x17474)) % 219.27/219.55 [1748]~E(x17481,x17482)+E(f288(x17483,x17484,x17481),f288(x17483,x17484,x17482)) % 219.27/219.55 [1749]~E(x17491,x17492)+E(f650(x17491,x17493,x17494,x17495),f650(x17492,x17493,x17494,x17495)) % 219.27/219.55 [1750]~E(x17501,x17502)+E(f650(x17503,x17501,x17504,x17505),f650(x17503,x17502,x17504,x17505)) % 219.27/219.55 [1751]~E(x17511,x17512)+E(f650(x17513,x17514,x17511,x17515),f650(x17513,x17514,x17512,x17515)) % 219.27/219.55 [1752]~E(x17521,x17522)+E(f650(x17523,x17524,x17525,x17521),f650(x17523,x17524,x17525,x17522)) % 219.27/219.55 [1753]~E(x17531,x17532)+E(f432(x17531,x17533,x17534),f432(x17532,x17533,x17534)) % 219.27/219.55 [1754]~E(x17541,x17542)+E(f432(x17543,x17541,x17544),f432(x17543,x17542,x17544)) % 219.27/219.55 [1755]~E(x17551,x17552)+E(f432(x17553,x17554,x17551),f432(x17553,x17554,x17552)) % 219.27/219.55 [1756]~E(x17561,x17562)+E(f822(x17561,x17563),f822(x17562,x17563)) % 219.27/219.55 [1757]~E(x17571,x17572)+E(f822(x17573,x17571),f822(x17573,x17572)) % 219.27/219.55 [1758]~E(x17581,x17582)+E(f660(x17581,x17583,x17584),f660(x17582,x17583,x17584)) % 219.27/219.55 [1759]~E(x17591,x17592)+E(f660(x17593,x17591,x17594),f660(x17593,x17592,x17594)) % 219.27/219.55 [1760]~E(x17601,x17602)+E(f660(x17603,x17604,x17601),f660(x17603,x17604,x17602)) % 219.27/219.55 [1761]~E(x17611,x17612)+E(f689(x17611,x17613,x17614,x17615),f689(x17612,x17613,x17614,x17615)) % 219.27/219.55 [1762]~E(x17621,x17622)+E(f689(x17623,x17621,x17624,x17625),f689(x17623,x17622,x17624,x17625)) % 219.27/219.55 [1763]~E(x17631,x17632)+E(f689(x17633,x17634,x17631,x17635),f689(x17633,x17634,x17632,x17635)) % 219.27/219.55 [1764]~E(x17641,x17642)+E(f689(x17643,x17644,x17645,x17641),f689(x17643,x17644,x17645,x17642)) % 219.27/219.55 [1765]~E(x17651,x17652)+E(f326(x17651),f326(x17652)) % 219.27/219.55 [1766]~E(x17661,x17662)+E(f450(x17661,x17663,x17664,x17665,x17666,x17667,x17668),f450(x17662,x17663,x17664,x17665,x17666,x17667,x17668)) % 219.27/219.55 [1767]~E(x17671,x17672)+E(f450(x17673,x17671,x17674,x17675,x17676,x17677,x17678),f450(x17673,x17672,x17674,x17675,x17676,x17677,x17678)) % 219.27/219.55 [1768]~E(x17681,x17682)+E(f450(x17683,x17684,x17681,x17685,x17686,x17687,x17688),f450(x17683,x17684,x17682,x17685,x17686,x17687,x17688)) % 219.27/219.55 [1769]~E(x17691,x17692)+E(f450(x17693,x17694,x17695,x17691,x17696,x17697,x17698),f450(x17693,x17694,x17695,x17692,x17696,x17697,x17698)) % 219.27/219.55 [1770]~E(x17701,x17702)+E(f450(x17703,x17704,x17705,x17706,x17701,x17707,x17708),f450(x17703,x17704,x17705,x17706,x17702,x17707,x17708)) % 219.27/219.55 [1771]~E(x17711,x17712)+E(f450(x17713,x17714,x17715,x17716,x17717,x17711,x17718),f450(x17713,x17714,x17715,x17716,x17717,x17712,x17718)) % 219.27/219.55 [1772]~E(x17721,x17722)+E(f450(x17723,x17724,x17725,x17726,x17727,x17728,x17721),f450(x17723,x17724,x17725,x17726,x17727,x17728,x17722)) % 219.27/219.55 [1773]~E(x17731,x17732)+E(f677(x17731,x17733,x17734),f677(x17732,x17733,x17734)) % 219.27/219.55 [1774]~E(x17741,x17742)+E(f677(x17743,x17741,x17744),f677(x17743,x17742,x17744)) % 219.27/219.55 [1775]~E(x17751,x17752)+E(f677(x17753,x17754,x17751),f677(x17753,x17754,x17752)) % 219.27/219.55 [1776]~E(x17761,x17762)+E(f190(x17761,x17763,x17764,x17765),f190(x17762,x17763,x17764,x17765)) % 219.27/219.55 [1777]~E(x17771,x17772)+E(f190(x17773,x17771,x17774,x17775),f190(x17773,x17772,x17774,x17775)) % 219.27/219.55 [1778]~E(x17781,x17782)+E(f190(x17783,x17784,x17781,x17785),f190(x17783,x17784,x17782,x17785)) % 219.27/219.55 [1779]~E(x17791,x17792)+E(f190(x17793,x17794,x17795,x17791),f190(x17793,x17794,x17795,x17792)) % 219.27/219.55 [1780]~E(x17801,x17802)+E(f517(x17801,x17803),f517(x17802,x17803)) % 219.27/219.55 [1781]~E(x17811,x17812)+E(f517(x17813,x17811),f517(x17813,x17812)) % 219.27/219.55 [1782]~E(x17821,x17822)+E(f746(x17821,x17823,x17824,x17825,x17826,x17827),f746(x17822,x17823,x17824,x17825,x17826,x17827)) % 219.27/219.55 [1783]~E(x17831,x17832)+E(f746(x17833,x17831,x17834,x17835,x17836,x17837),f746(x17833,x17832,x17834,x17835,x17836,x17837)) % 219.27/219.55 [1784]~E(x17841,x17842)+E(f746(x17843,x17844,x17841,x17845,x17846,x17847),f746(x17843,x17844,x17842,x17845,x17846,x17847)) % 219.27/219.55 [1785]~E(x17851,x17852)+E(f746(x17853,x17854,x17855,x17851,x17856,x17857),f746(x17853,x17854,x17855,x17852,x17856,x17857)) % 219.27/219.55 [1786]~E(x17861,x17862)+E(f746(x17863,x17864,x17865,x17866,x17861,x17867),f746(x17863,x17864,x17865,x17866,x17862,x17867)) % 219.27/219.55 [1787]~E(x17871,x17872)+E(f746(x17873,x17874,x17875,x17876,x17877,x17871),f746(x17873,x17874,x17875,x17876,x17877,x17872)) % 219.27/219.55 [1788]~E(x17881,x17882)+E(f436(x17881,x17883,x17884),f436(x17882,x17883,x17884)) % 219.27/219.55 [1789]~E(x17891,x17892)+E(f436(x17893,x17891,x17894),f436(x17893,x17892,x17894)) % 219.27/219.55 [1790]~E(x17901,x17902)+E(f436(x17903,x17904,x17901),f436(x17903,x17904,x17902)) % 219.27/219.55 [1791]~E(x17911,x17912)+E(f911(x17911,x17913),f911(x17912,x17913)) % 219.27/219.55 [1792]~E(x17921,x17922)+E(f911(x17923,x17921),f911(x17923,x17922)) % 219.27/219.55 [1793]~E(x17931,x17932)+E(f499(x17931,x17933,x17934),f499(x17932,x17933,x17934)) % 219.27/219.55 [1794]~E(x17941,x17942)+E(f499(x17943,x17941,x17944),f499(x17943,x17942,x17944)) % 219.27/219.55 [1795]~E(x17951,x17952)+E(f499(x17953,x17954,x17951),f499(x17953,x17954,x17952)) % 219.27/219.55 [1796]~E(x17961,x17962)+E(f802(x17961,x17963),f802(x17962,x17963)) % 219.27/219.55 [1797]~E(x17971,x17972)+E(f802(x17973,x17971),f802(x17973,x17972)) % 219.27/219.55 [1798]~E(x17981,x17982)+E(f507(x17981,x17983,x17984,x17985,x17986,x17987,x17988),f507(x17982,x17983,x17984,x17985,x17986,x17987,x17988)) % 219.27/219.55 [1799]~E(x17991,x17992)+E(f507(x17993,x17991,x17994,x17995,x17996,x17997,x17998),f507(x17993,x17992,x17994,x17995,x17996,x17997,x17998)) % 219.27/219.55 [1800]~E(x18001,x18002)+E(f507(x18003,x18004,x18001,x18005,x18006,x18007,x18008),f507(x18003,x18004,x18002,x18005,x18006,x18007,x18008)) % 219.27/219.55 [1801]~E(x18011,x18012)+E(f507(x18013,x18014,x18015,x18011,x18016,x18017,x18018),f507(x18013,x18014,x18015,x18012,x18016,x18017,x18018)) % 219.27/219.55 [1802]~E(x18021,x18022)+E(f507(x18023,x18024,x18025,x18026,x18021,x18027,x18028),f507(x18023,x18024,x18025,x18026,x18022,x18027,x18028)) % 219.27/219.55 [1803]~E(x18031,x18032)+E(f507(x18033,x18034,x18035,x18036,x18037,x18031,x18038),f507(x18033,x18034,x18035,x18036,x18037,x18032,x18038)) % 219.27/219.55 [1804]~E(x18041,x18042)+E(f507(x18043,x18044,x18045,x18046,x18047,x18048,x18041),f507(x18043,x18044,x18045,x18046,x18047,x18048,x18042)) % 219.27/219.55 [1805]~E(x18051,x18052)+E(f682(x18051,x18053,x18054,x18055,x18056),f682(x18052,x18053,x18054,x18055,x18056)) % 219.27/219.55 [1806]~E(x18061,x18062)+E(f682(x18063,x18061,x18064,x18065,x18066),f682(x18063,x18062,x18064,x18065,x18066)) % 219.27/219.55 [1807]~E(x18071,x18072)+E(f682(x18073,x18074,x18071,x18075,x18076),f682(x18073,x18074,x18072,x18075,x18076)) % 219.27/219.55 [1808]~E(x18081,x18082)+E(f682(x18083,x18084,x18085,x18081,x18086),f682(x18083,x18084,x18085,x18082,x18086)) % 219.27/219.55 [1809]~E(x18091,x18092)+E(f682(x18093,x18094,x18095,x18096,x18091),f682(x18093,x18094,x18095,x18096,x18092)) % 219.27/219.55 [1810]~E(x18101,x18102)+E(f772(x18101,x18103,x18104),f772(x18102,x18103,x18104)) % 219.27/219.55 [1811]~E(x18111,x18112)+E(f772(x18113,x18111,x18114),f772(x18113,x18112,x18114)) % 219.27/219.55 [1812]~E(x18121,x18122)+E(f772(x18123,x18124,x18121),f772(x18123,x18124,x18122)) % 219.27/219.55 [1813]~E(x18131,x18132)+E(f831(x18131,x18133,x18134,x18135,x18136,x18137),f831(x18132,x18133,x18134,x18135,x18136,x18137)) % 219.27/219.55 [1814]~E(x18141,x18142)+E(f831(x18143,x18141,x18144,x18145,x18146,x18147),f831(x18143,x18142,x18144,x18145,x18146,x18147)) % 219.27/219.55 [1815]~E(x18151,x18152)+E(f831(x18153,x18154,x18151,x18155,x18156,x18157),f831(x18153,x18154,x18152,x18155,x18156,x18157)) % 219.27/219.55 [1816]~E(x18161,x18162)+E(f831(x18163,x18164,x18165,x18161,x18166,x18167),f831(x18163,x18164,x18165,x18162,x18166,x18167)) % 219.27/219.55 [1817]~E(x18171,x18172)+E(f831(x18173,x18174,x18175,x18176,x18171,x18177),f831(x18173,x18174,x18175,x18176,x18172,x18177)) % 219.27/219.55 [1818]~E(x18181,x18182)+E(f831(x18183,x18184,x18185,x18186,x18187,x18181),f831(x18183,x18184,x18185,x18186,x18187,x18182)) % 219.27/219.55 [1819]~E(x18191,x18192)+E(f347(x18191,x18193),f347(x18192,x18193)) % 219.27/219.55 [1820]~E(x18201,x18202)+E(f347(x18203,x18201),f347(x18203,x18202)) % 219.27/219.55 [1821]~E(x18211,x18212)+E(f384(x18211,x18213,x18214,x18215),f384(x18212,x18213,x18214,x18215)) % 219.27/219.55 [1822]~E(x18221,x18222)+E(f384(x18223,x18221,x18224,x18225),f384(x18223,x18222,x18224,x18225)) % 219.27/219.55 [1823]~E(x18231,x18232)+E(f384(x18233,x18234,x18231,x18235),f384(x18233,x18234,x18232,x18235)) % 219.27/219.55 [1824]~E(x18241,x18242)+E(f384(x18243,x18244,x18245,x18241),f384(x18243,x18244,x18245,x18242)) % 219.27/219.55 [1825]~E(x18251,x18252)+E(f898(x18251,x18253,x18254,x18255,x18256,x18257,x18258),f898(x18252,x18253,x18254,x18255,x18256,x18257,x18258)) % 219.27/219.55 [1826]~E(x18261,x18262)+E(f898(x18263,x18261,x18264,x18265,x18266,x18267,x18268),f898(x18263,x18262,x18264,x18265,x18266,x18267,x18268)) % 219.27/219.55 [1827]~E(x18271,x18272)+E(f898(x18273,x18274,x18271,x18275,x18276,x18277,x18278),f898(x18273,x18274,x18272,x18275,x18276,x18277,x18278)) % 219.27/219.55 [1828]~E(x18281,x18282)+E(f898(x18283,x18284,x18285,x18281,x18286,x18287,x18288),f898(x18283,x18284,x18285,x18282,x18286,x18287,x18288)) % 219.27/219.55 [1829]~E(x18291,x18292)+E(f898(x18293,x18294,x18295,x18296,x18291,x18297,x18298),f898(x18293,x18294,x18295,x18296,x18292,x18297,x18298)) % 219.27/219.55 [1830]~E(x18301,x18302)+E(f898(x18303,x18304,x18305,x18306,x18307,x18301,x18308),f898(x18303,x18304,x18305,x18306,x18307,x18302,x18308)) % 219.27/219.55 [1831]~E(x18311,x18312)+E(f898(x18313,x18314,x18315,x18316,x18317,x18318,x18311),f898(x18313,x18314,x18315,x18316,x18317,x18318,x18312)) % 219.27/219.55 [1832]~E(x18321,x18322)+E(f493(x18321,x18323,x18324,x18325,x18326),f493(x18322,x18323,x18324,x18325,x18326)) % 219.27/219.55 [1833]~E(x18331,x18332)+E(f493(x18333,x18331,x18334,x18335,x18336),f493(x18333,x18332,x18334,x18335,x18336)) % 219.27/219.55 [1834]~E(x18341,x18342)+E(f493(x18343,x18344,x18341,x18345,x18346),f493(x18343,x18344,x18342,x18345,x18346)) % 219.27/219.55 [1835]~E(x18351,x18352)+E(f493(x18353,x18354,x18355,x18351,x18356),f493(x18353,x18354,x18355,x18352,x18356)) % 219.27/219.55 [1836]~E(x18361,x18362)+E(f493(x18363,x18364,x18365,x18366,x18361),f493(x18363,x18364,x18365,x18366,x18362)) % 219.27/219.55 [1837]~E(x18371,x18372)+E(f508(x18371,x18373,x18374),f508(x18372,x18373,x18374)) % 219.27/219.55 [1838]~E(x18381,x18382)+E(f508(x18383,x18381,x18384),f508(x18383,x18382,x18384)) % 219.27/219.55 [1839]~E(x18391,x18392)+E(f508(x18393,x18394,x18391),f508(x18393,x18394,x18392)) % 219.27/219.55 [1840]~E(x18401,x18402)+E(f454(x18401,x18403,x18404),f454(x18402,x18403,x18404)) % 219.27/219.55 [1841]~E(x18411,x18412)+E(f454(x18413,x18411,x18414),f454(x18413,x18412,x18414)) % 219.27/219.55 [1842]~E(x18421,x18422)+E(f454(x18423,x18424,x18421),f454(x18423,x18424,x18422)) % 219.27/219.55 [1843]~E(x18431,x18432)+E(f465(x18431,x18433,x18434,x18435,x18436,x18437,x18438),f465(x18432,x18433,x18434,x18435,x18436,x18437,x18438)) % 219.27/219.55 [1844]~E(x18441,x18442)+E(f465(x18443,x18441,x18444,x18445,x18446,x18447,x18448),f465(x18443,x18442,x18444,x18445,x18446,x18447,x18448)) % 219.27/219.55 [1845]~E(x18451,x18452)+E(f465(x18453,x18454,x18451,x18455,x18456,x18457,x18458),f465(x18453,x18454,x18452,x18455,x18456,x18457,x18458)) % 219.27/219.55 [1846]~E(x18461,x18462)+E(f465(x18463,x18464,x18465,x18461,x18466,x18467,x18468),f465(x18463,x18464,x18465,x18462,x18466,x18467,x18468)) % 219.27/219.55 [1847]~E(x18471,x18472)+E(f465(x18473,x18474,x18475,x18476,x18471,x18477,x18478),f465(x18473,x18474,x18475,x18476,x18472,x18477,x18478)) % 219.27/219.55 [1848]~E(x18481,x18482)+E(f465(x18483,x18484,x18485,x18486,x18487,x18481,x18488),f465(x18483,x18484,x18485,x18486,x18487,x18482,x18488)) % 219.27/219.55 [1849]~E(x18491,x18492)+E(f465(x18493,x18494,x18495,x18496,x18497,x18498,x18491),f465(x18493,x18494,x18495,x18496,x18497,x18498,x18492)) % 219.27/219.55 [1850]~E(x18501,x18502)+E(f154(x18501,x18503),f154(x18502,x18503)) % 219.27/219.55 [1851]~E(x18511,x18512)+E(f154(x18513,x18511),f154(x18513,x18512)) % 219.27/219.55 [1852]~E(x18521,x18522)+E(f325(x18521),f325(x18522)) % 219.27/219.55 [1853]~E(x18531,x18532)+E(f394(x18531,x18533,x18534,x18535),f394(x18532,x18533,x18534,x18535)) % 219.27/219.55 [1854]~E(x18541,x18542)+E(f394(x18543,x18541,x18544,x18545),f394(x18543,x18542,x18544,x18545)) % 219.27/219.55 [1855]~E(x18551,x18552)+E(f394(x18553,x18554,x18551,x18555),f394(x18553,x18554,x18552,x18555)) % 219.27/219.55 [1856]~E(x18561,x18562)+E(f394(x18563,x18564,x18565,x18561),f394(x18563,x18564,x18565,x18562)) % 219.27/219.55 [1857]~E(x18571,x18572)+E(f810(x18571,x18573,x18574,x18575,x18576,x18577,x18578),f810(x18572,x18573,x18574,x18575,x18576,x18577,x18578)) % 219.27/219.55 [1858]~E(x18581,x18582)+E(f810(x18583,x18581,x18584,x18585,x18586,x18587,x18588),f810(x18583,x18582,x18584,x18585,x18586,x18587,x18588)) % 219.27/219.55 [1859]~E(x18591,x18592)+E(f810(x18593,x18594,x18591,x18595,x18596,x18597,x18598),f810(x18593,x18594,x18592,x18595,x18596,x18597,x18598)) % 219.27/219.55 [1860]~E(x18601,x18602)+E(f810(x18603,x18604,x18605,x18601,x18606,x18607,x18608),f810(x18603,x18604,x18605,x18602,x18606,x18607,x18608)) % 219.27/219.55 [1861]~E(x18611,x18612)+E(f810(x18613,x18614,x18615,x18616,x18611,x18617,x18618),f810(x18613,x18614,x18615,x18616,x18612,x18617,x18618)) % 219.27/219.55 [1862]~E(x18621,x18622)+E(f810(x18623,x18624,x18625,x18626,x18627,x18621,x18628),f810(x18623,x18624,x18625,x18626,x18627,x18622,x18628)) % 219.27/219.55 [1863]~E(x18631,x18632)+E(f810(x18633,x18634,x18635,x18636,x18637,x18638,x18631),f810(x18633,x18634,x18635,x18636,x18637,x18638,x18632)) % 219.27/219.55 [1864]~E(x18641,x18642)+E(f360(x18641,x18643),f360(x18642,x18643)) % 219.27/219.55 [1865]~E(x18651,x18652)+E(f360(x18653,x18651),f360(x18653,x18652)) % 219.27/219.55 [1866]~E(x18661,x18662)+E(f327(x18661),f327(x18662)) % 219.27/219.55 [1867]~E(x18671,x18672)+E(f418(x18671,x18673,x18674),f418(x18672,x18673,x18674)) % 219.27/219.55 [1868]~E(x18681,x18682)+E(f418(x18683,x18681,x18684),f418(x18683,x18682,x18684)) % 219.27/219.55 [1869]~E(x18691,x18692)+E(f418(x18693,x18694,x18691),f418(x18693,x18694,x18692)) % 219.27/219.55 [1870]~E(x18701,x18702)+E(f561(x18701,x18703,x18704,x18705),f561(x18702,x18703,x18704,x18705)) % 219.27/219.55 [1871]~E(x18711,x18712)+E(f561(x18713,x18711,x18714,x18715),f561(x18713,x18712,x18714,x18715)) % 219.27/219.55 [1872]~E(x18721,x18722)+E(f561(x18723,x18724,x18721,x18725),f561(x18723,x18724,x18722,x18725)) % 219.27/219.55 [1873]~E(x18731,x18732)+E(f561(x18733,x18734,x18735,x18731),f561(x18733,x18734,x18735,x18732)) % 219.27/219.55 [1874]~E(x18741,x18742)+E(f259(x18741),f259(x18742)) % 219.27/219.55 [1875]~E(x18751,x18752)+E(f412(x18751,x18753,x18754,x18755),f412(x18752,x18753,x18754,x18755)) % 219.27/219.55 [1876]~E(x18761,x18762)+E(f412(x18763,x18761,x18764,x18765),f412(x18763,x18762,x18764,x18765)) % 219.27/219.55 [1877]~E(x18771,x18772)+E(f412(x18773,x18774,x18771,x18775),f412(x18773,x18774,x18772,x18775)) % 219.27/219.55 [1878]~E(x18781,x18782)+E(f412(x18783,x18784,x18785,x18781),f412(x18783,x18784,x18785,x18782)) % 219.27/219.55 [1879]~E(x18791,x18792)+E(f877(x18791,x18793,x18794,x18795),f877(x18792,x18793,x18794,x18795)) % 219.27/219.55 [1880]~E(x18801,x18802)+E(f877(x18803,x18801,x18804,x18805),f877(x18803,x18802,x18804,x18805)) % 219.27/219.55 [1881]~E(x18811,x18812)+E(f877(x18813,x18814,x18811,x18815),f877(x18813,x18814,x18812,x18815)) % 219.27/219.55 [1882]~E(x18821,x18822)+E(f877(x18823,x18824,x18825,x18821),f877(x18823,x18824,x18825,x18822)) % 219.27/219.55 [1883]~E(x18831,x18832)+E(f522(x18831,x18833,x18834,x18835),f522(x18832,x18833,x18834,x18835)) % 219.27/219.55 [1884]~E(x18841,x18842)+E(f522(x18843,x18841,x18844,x18845),f522(x18843,x18842,x18844,x18845)) % 219.27/219.55 [1885]~E(x18851,x18852)+E(f522(x18853,x18854,x18851,x18855),f522(x18853,x18854,x18852,x18855)) % 219.27/219.55 [1886]~E(x18861,x18862)+E(f522(x18863,x18864,x18865,x18861),f522(x18863,x18864,x18865,x18862)) % 219.27/219.55 [1887]~E(x18871,x18872)+E(f539(x18871,x18873,x18874),f539(x18872,x18873,x18874)) % 219.27/219.55 [1888]~E(x18881,x18882)+E(f539(x18883,x18881,x18884),f539(x18883,x18882,x18884)) % 219.27/219.55 [1889]~E(x18891,x18892)+E(f539(x18893,x18894,x18891),f539(x18893,x18894,x18892)) % 219.27/219.55 [1890]~E(x18901,x18902)+E(f270(x18901),f270(x18902)) % 219.27/219.55 [1891]~E(x18911,x18912)+E(f110(x18911,x18913,x18914),f110(x18912,x18913,x18914)) % 219.27/219.55 [1892]~E(x18921,x18922)+E(f110(x18923,x18921,x18924),f110(x18923,x18922,x18924)) % 219.27/219.55 [1893]~E(x18931,x18932)+E(f110(x18933,x18934,x18931),f110(x18933,x18934,x18932)) % 219.27/219.55 [1894]~E(x18941,x18942)+E(f678(x18941,x18943,x18944),f678(x18942,x18943,x18944)) % 219.27/219.55 [1895]~E(x18951,x18952)+E(f678(x18953,x18951,x18954),f678(x18953,x18952,x18954)) % 219.27/219.55 [1896]~E(x18961,x18962)+E(f678(x18963,x18964,x18961),f678(x18963,x18964,x18962)) % 219.27/219.55 [1897]~E(x18971,x18972)+E(f268(x18971,x18973,x18974,x18975),f268(x18972,x18973,x18974,x18975)) % 219.27/219.55 [1898]~E(x18981,x18982)+E(f268(x18983,x18981,x18984,x18985),f268(x18983,x18982,x18984,x18985)) % 219.27/219.55 [1899]~E(x18991,x18992)+E(f268(x18993,x18994,x18991,x18995),f268(x18993,x18994,x18992,x18995)) % 219.27/219.55 [1900]~E(x19001,x19002)+E(f268(x19003,x19004,x19005,x19001),f268(x19003,x19004,x19005,x19002)) % 219.27/219.55 [1901]~E(x19011,x19012)+E(f396(x19011,x19013,x19014,x19015),f396(x19012,x19013,x19014,x19015)) % 219.27/219.55 [1902]~E(x19021,x19022)+E(f396(x19023,x19021,x19024,x19025),f396(x19023,x19022,x19024,x19025)) % 219.27/219.55 [1903]~E(x19031,x19032)+E(f396(x19033,x19034,x19031,x19035),f396(x19033,x19034,x19032,x19035)) % 219.27/219.55 [1904]~E(x19041,x19042)+E(f396(x19043,x19044,x19045,x19041),f396(x19043,x19044,x19045,x19042)) % 219.27/219.55 [1905]~E(x19051,x19052)+E(f783(x19051,x19053,x19054,x19055),f783(x19052,x19053,x19054,x19055)) % 219.27/219.55 [1906]~E(x19061,x19062)+E(f783(x19063,x19061,x19064,x19065),f783(x19063,x19062,x19064,x19065)) % 219.27/219.55 [1907]~E(x19071,x19072)+E(f783(x19073,x19074,x19071,x19075),f783(x19073,x19074,x19072,x19075)) % 219.27/219.55 [1908]~E(x19081,x19082)+E(f783(x19083,x19084,x19085,x19081),f783(x19083,x19084,x19085,x19082)) % 219.27/219.55 [1909]~E(x19091,x19092)+E(f386(x19091,x19093,x19094,x19095),f386(x19092,x19093,x19094,x19095)) % 219.27/219.55 [1910]~E(x19101,x19102)+E(f386(x19103,x19101,x19104,x19105),f386(x19103,x19102,x19104,x19105)) % 219.27/219.55 [1911]~E(x19111,x19112)+E(f386(x19113,x19114,x19111,x19115),f386(x19113,x19114,x19112,x19115)) % 219.27/219.55 [1912]~E(x19121,x19122)+E(f386(x19123,x19124,x19125,x19121),f386(x19123,x19124,x19125,x19122)) % 219.27/219.55 [1913]~E(x19131,x19132)+E(f337(x19131,x19133,x19134),f337(x19132,x19133,x19134)) % 219.27/219.55 [1914]~E(x19141,x19142)+E(f337(x19143,x19141,x19144),f337(x19143,x19142,x19144)) % 219.27/219.55 [1915]~E(x19151,x19152)+E(f337(x19153,x19154,x19151),f337(x19153,x19154,x19152)) % 219.27/219.55 [1916]~E(x19161,x19162)+E(f193(x19161),f193(x19162)) % 219.27/219.55 [1917]~E(x19171,x19172)+E(f481(x19171,x19173),f481(x19172,x19173)) % 219.27/219.55 [1918]~E(x19181,x19182)+E(f481(x19183,x19181),f481(x19183,x19182)) % 219.27/219.55 [1919]~E(x19191,x19192)+E(f786(x19191,x19193,x19194),f786(x19192,x19193,x19194)) % 219.27/219.55 [1920]~E(x19201,x19202)+E(f786(x19203,x19201,x19204),f786(x19203,x19202,x19204)) % 219.27/219.55 [1921]~E(x19211,x19212)+E(f786(x19213,x19214,x19211),f786(x19213,x19214,x19212)) % 219.27/219.55 [1922]~E(x19221,x19222)+E(f355(x19221,x19223,x19224),f355(x19222,x19223,x19224)) % 219.27/219.55 [1923]~E(x19231,x19232)+E(f355(x19233,x19231,x19234),f355(x19233,x19232,x19234)) % 219.27/219.55 [1924]~E(x19241,x19242)+E(f355(x19243,x19244,x19241),f355(x19243,x19244,x19242)) % 219.27/219.55 [1925]~E(x19251,x19252)+E(f920(x19251,x19253,x19254),f920(x19252,x19253,x19254)) % 219.27/219.55 [1926]~E(x19261,x19262)+E(f920(x19263,x19261,x19264),f920(x19263,x19262,x19264)) % 219.27/219.55 [1927]~E(x19271,x19272)+E(f920(x19273,x19274,x19271),f920(x19273,x19274,x19272)) % 219.27/219.55 [1928]~E(x19281,x19282)+E(f756(x19281,x19283),f756(x19282,x19283)) % 219.27/219.55 [1929]~E(x19291,x19292)+E(f756(x19293,x19291),f756(x19293,x19292)) % 219.27/219.55 [1930]~E(x19301,x19302)+E(f760(x19301,x19303,x19304,x19305),f760(x19302,x19303,x19304,x19305)) % 219.27/219.55 [1931]~E(x19311,x19312)+E(f760(x19313,x19311,x19314,x19315),f760(x19313,x19312,x19314,x19315)) % 219.27/219.55 [1932]~E(x19321,x19322)+E(f760(x19323,x19324,x19321,x19325),f760(x19323,x19324,x19322,x19325)) % 219.27/219.55 [1933]~E(x19331,x19332)+E(f760(x19333,x19334,x19335,x19331),f760(x19333,x19334,x19335,x19332)) % 219.27/219.55 [1934]~E(x19341,x19342)+E(f549(x19341,x19343,x19344,x19345,x19346,x19347,x19348),f549(x19342,x19343,x19344,x19345,x19346,x19347,x19348)) % 219.27/219.55 [1935]~E(x19351,x19352)+E(f549(x19353,x19351,x19354,x19355,x19356,x19357,x19358),f549(x19353,x19352,x19354,x19355,x19356,x19357,x19358)) % 219.27/219.55 [1936]~E(x19361,x19362)+E(f549(x19363,x19364,x19361,x19365,x19366,x19367,x19368),f549(x19363,x19364,x19362,x19365,x19366,x19367,x19368)) % 219.27/219.55 [1937]~E(x19371,x19372)+E(f549(x19373,x19374,x19375,x19371,x19376,x19377,x19378),f549(x19373,x19374,x19375,x19372,x19376,x19377,x19378)) % 219.27/219.55 [1938]~E(x19381,x19382)+E(f549(x19383,x19384,x19385,x19386,x19381,x19387,x19388),f549(x19383,x19384,x19385,x19386,x19382,x19387,x19388)) % 219.27/219.55 [1939]~E(x19391,x19392)+E(f549(x19393,x19394,x19395,x19396,x19397,x19391,x19398),f549(x19393,x19394,x19395,x19396,x19397,x19392,x19398)) % 219.27/219.55 [1940]~E(x19401,x19402)+E(f549(x19403,x19404,x19405,x19406,x19407,x19408,x19401),f549(x19403,x19404,x19405,x19406,x19407,x19408,x19402)) % 219.27/219.55 [1941]~E(x19411,x19412)+E(f390(x19411,x19413),f390(x19412,x19413)) % 219.27/219.55 [1942]~E(x19421,x19422)+E(f390(x19423,x19421),f390(x19423,x19422)) % 219.27/219.55 [1943]~E(x19431,x19432)+E(f451(x19431,x19433),f451(x19432,x19433)) % 219.27/219.55 [1944]~E(x19441,x19442)+E(f451(x19443,x19441),f451(x19443,x19442)) % 219.27/219.55 [1945]~E(x19451,x19452)+E(f575(x19451,x19453,x19454,x19455),f575(x19452,x19453,x19454,x19455)) % 219.27/219.55 [1946]~E(x19461,x19462)+E(f575(x19463,x19461,x19464,x19465),f575(x19463,x19462,x19464,x19465)) % 219.27/219.55 [1947]~E(x19471,x19472)+E(f575(x19473,x19474,x19471,x19475),f575(x19473,x19474,x19472,x19475)) % 219.27/219.55 [1948]~E(x19481,x19482)+E(f575(x19483,x19484,x19485,x19481),f575(x19483,x19484,x19485,x19482)) % 219.27/219.55 [1949]~E(x19491,x19492)+E(f845(x19491,x19493,x19494),f845(x19492,x19493,x19494)) % 219.27/219.55 [1950]~E(x19501,x19502)+E(f845(x19503,x19501,x19504),f845(x19503,x19502,x19504)) % 219.27/219.55 [1951]~E(x19511,x19512)+E(f845(x19513,x19514,x19511),f845(x19513,x19514,x19512)) % 219.27/219.55 [1952]~E(x19521,x19522)+E(f333(x19521),f333(x19522)) % 219.27/219.55 [1953]~E(x19531,x19532)+E(f361(x19531,x19533),f361(x19532,x19533)) % 219.27/219.55 [1954]~E(x19541,x19542)+E(f361(x19543,x19541),f361(x19543,x19542)) % 219.27/219.55 [1955]~E(x19551,x19552)+E(f893(x19551,x19553,x19554,x19555,x19556),f893(x19552,x19553,x19554,x19555,x19556)) % 219.27/219.55 [1956]~E(x19561,x19562)+E(f893(x19563,x19561,x19564,x19565,x19566),f893(x19563,x19562,x19564,x19565,x19566)) % 219.27/219.55 [1957]~E(x19571,x19572)+E(f893(x19573,x19574,x19571,x19575,x19576),f893(x19573,x19574,x19572,x19575,x19576)) % 219.27/219.55 [1958]~E(x19581,x19582)+E(f893(x19583,x19584,x19585,x19581,x19586),f893(x19583,x19584,x19585,x19582,x19586)) % 219.27/219.55 [1959]~E(x19591,x19592)+E(f893(x19593,x19594,x19595,x19596,x19591),f893(x19593,x19594,x19595,x19596,x19592)) % 219.27/219.55 [1960]~E(x19601,x19602)+E(f795(x19601,x19603,x19604),f795(x19602,x19603,x19604)) % 219.27/219.55 [1961]~E(x19611,x19612)+E(f795(x19613,x19611,x19614),f795(x19613,x19612,x19614)) % 219.27/219.55 [1962]~E(x19621,x19622)+E(f795(x19623,x19624,x19621),f795(x19623,x19624,x19622)) % 219.27/219.55 [1963]~E(x19631,x19632)+E(f67(x19631,x19633),f67(x19632,x19633)) % 219.27/219.55 [1964]~E(x19641,x19642)+E(f67(x19643,x19641),f67(x19643,x19642)) % 219.27/219.55 [1965]~E(x19651,x19652)+E(f397(x19651,x19653,x19654,x19655),f397(x19652,x19653,x19654,x19655)) % 219.27/219.55 [1966]~E(x19661,x19662)+E(f397(x19663,x19661,x19664,x19665),f397(x19663,x19662,x19664,x19665)) % 219.27/219.55 [1967]~E(x19671,x19672)+E(f397(x19673,x19674,x19671,x19675),f397(x19673,x19674,x19672,x19675)) % 219.27/219.55 [1968]~E(x19681,x19682)+E(f397(x19683,x19684,x19685,x19681),f397(x19683,x19684,x19685,x19682)) % 219.27/219.55 [1969]~E(x19691,x19692)+E(f348(x19691,x19693,x19694),f348(x19692,x19693,x19694)) % 219.27/219.55 [1970]~E(x19701,x19702)+E(f348(x19703,x19701,x19704),f348(x19703,x19702,x19704)) % 219.27/219.55 [1971]~E(x19711,x19712)+E(f348(x19713,x19714,x19711),f348(x19713,x19714,x19712)) % 219.27/219.55 [1972]~E(x19721,x19722)+E(f838(x19721,x19723),f838(x19722,x19723)) % 219.27/219.55 [1973]~E(x19731,x19732)+E(f838(x19733,x19731),f838(x19733,x19732)) % 219.27/219.55 [1974]~E(x19741,x19742)+E(f48(x19741,x19743),f48(x19742,x19743)) % 219.27/219.55 [1975]~E(x19751,x19752)+E(f48(x19753,x19751),f48(x19753,x19752)) % 219.27/219.55 [1976]~E(x19761,x19762)+E(f376(x19761,x19763,x19764),f376(x19762,x19763,x19764)) % 219.27/219.55 [1977]~E(x19771,x19772)+E(f376(x19773,x19771,x19774),f376(x19773,x19772,x19774)) % 219.27/219.55 [1978]~E(x19781,x19782)+E(f376(x19783,x19784,x19781),f376(x19783,x19784,x19782)) % 219.27/219.55 [1979]~E(x19791,x19792)+E(f901(x19791,x19793,x19794,x19795,x19796,x19797),f901(x19792,x19793,x19794,x19795,x19796,x19797)) % 219.27/219.55 [1980]~E(x19801,x19802)+E(f901(x19803,x19801,x19804,x19805,x19806,x19807),f901(x19803,x19802,x19804,x19805,x19806,x19807)) % 219.27/219.55 [1981]~E(x19811,x19812)+E(f901(x19813,x19814,x19811,x19815,x19816,x19817),f901(x19813,x19814,x19812,x19815,x19816,x19817)) % 219.27/219.55 [1982]~E(x19821,x19822)+E(f901(x19823,x19824,x19825,x19821,x19826,x19827),f901(x19823,x19824,x19825,x19822,x19826,x19827)) % 219.27/219.55 [1983]~E(x19831,x19832)+E(f901(x19833,x19834,x19835,x19836,x19831,x19837),f901(x19833,x19834,x19835,x19836,x19832,x19837)) % 219.27/219.55 [1984]~E(x19841,x19842)+E(f901(x19843,x19844,x19845,x19846,x19847,x19841),f901(x19843,x19844,x19845,x19846,x19847,x19842)) % 219.27/219.55 [1985]~E(x19851,x19852)+E(f820(x19851),f820(x19852)) % 219.27/219.55 [1986]~E(x19861,x19862)+E(f759(x19861,x19863,x19864),f759(x19862,x19863,x19864)) % 219.27/219.55 [1987]~E(x19871,x19872)+E(f759(x19873,x19871,x19874),f759(x19873,x19872,x19874)) % 219.27/219.55 [1988]~E(x19881,x19882)+E(f759(x19883,x19884,x19881),f759(x19883,x19884,x19882)) % 219.27/219.55 [1989]~E(x19891,x19892)+E(f701(x19891,x19893,x19894,x19895,x19896),f701(x19892,x19893,x19894,x19895,x19896)) % 219.27/219.55 [1990]~E(x19901,x19902)+E(f701(x19903,x19901,x19904,x19905,x19906),f701(x19903,x19902,x19904,x19905,x19906)) % 219.27/219.55 [1991]~E(x19911,x19912)+E(f701(x19913,x19914,x19911,x19915,x19916),f701(x19913,x19914,x19912,x19915,x19916)) % 219.27/219.55 [1992]~E(x19921,x19922)+E(f701(x19923,x19924,x19925,x19921,x19926),f701(x19923,x19924,x19925,x19922,x19926)) % 219.27/219.55 [1993]~E(x19931,x19932)+E(f701(x19933,x19934,x19935,x19936,x19931),f701(x19933,x19934,x19935,x19936,x19932)) % 219.27/219.55 [1994]~E(x19941,x19942)+E(f543(x19941,x19943,x19944),f543(x19942,x19943,x19944)) % 219.27/219.55 [1995]~E(x19951,x19952)+E(f543(x19953,x19951,x19954),f543(x19953,x19952,x19954)) % 219.27/219.55 [1996]~E(x19961,x19962)+E(f543(x19963,x19964,x19961),f543(x19963,x19964,x19962)) % 219.27/219.55 [1997]~E(x19971,x19972)+E(f229(x19971,x19973),f229(x19972,x19973)) % 219.27/219.55 [1998]~E(x19981,x19982)+E(f229(x19983,x19981),f229(x19983,x19982)) % 219.27/219.55 [1999]~E(x19991,x19992)+E(f187(x19991,x19993,x19994,x19995),f187(x19992,x19993,x19994,x19995)) % 219.27/219.55 [2000]~E(x20001,x20002)+E(f187(x20003,x20001,x20004,x20005),f187(x20003,x20002,x20004,x20005)) % 219.27/219.55 [2001]~E(x20011,x20012)+E(f187(x20013,x20014,x20011,x20015),f187(x20013,x20014,x20012,x20015)) % 219.27/219.55 [2002]~E(x20021,x20022)+E(f187(x20023,x20024,x20025,x20021),f187(x20023,x20024,x20025,x20022)) % 219.27/219.55 [2003]~E(x20031,x20032)+E(f574(x20031,x20033,x20034,x20035),f574(x20032,x20033,x20034,x20035)) % 219.27/219.55 [2004]~E(x20041,x20042)+E(f574(x20043,x20041,x20044,x20045),f574(x20043,x20042,x20044,x20045)) % 219.27/219.55 [2005]~E(x20051,x20052)+E(f574(x20053,x20054,x20051,x20055),f574(x20053,x20054,x20052,x20055)) % 219.27/219.55 [2006]~E(x20061,x20062)+E(f574(x20063,x20064,x20065,x20061),f574(x20063,x20064,x20065,x20062)) % 219.27/219.55 [2007]~E(x20071,x20072)+E(f453(x20071,x20073),f453(x20072,x20073)) % 219.27/219.55 [2008]~E(x20081,x20082)+E(f453(x20083,x20081),f453(x20083,x20082)) % 219.27/219.55 [2009]~E(x20091,x20092)+E(f475(x20091,x20093,x20094),f475(x20092,x20093,x20094)) % 219.27/219.55 [2010]~E(x20101,x20102)+E(f475(x20103,x20101,x20104),f475(x20103,x20102,x20104)) % 219.27/219.55 [2011]~E(x20111,x20112)+E(f475(x20113,x20114,x20111),f475(x20113,x20114,x20112)) % 219.27/219.55 [2012]~E(x20121,x20122)+E(f467(x20121,x20123,x20124,x20125),f467(x20122,x20123,x20124,x20125)) % 219.27/219.55 [2013]~E(x20131,x20132)+E(f467(x20133,x20131,x20134,x20135),f467(x20133,x20132,x20134,x20135)) % 219.27/219.55 [2014]~E(x20141,x20142)+E(f467(x20143,x20144,x20141,x20145),f467(x20143,x20144,x20142,x20145)) % 219.27/219.55 [2015]~E(x20151,x20152)+E(f467(x20153,x20154,x20155,x20151),f467(x20153,x20154,x20155,x20152)) % 219.27/219.55 [2016]~E(x20161,x20162)+E(f848(x20161,x20163,x20164,x20165,x20166,x20167,x20168,x20169),f848(x20162,x20163,x20164,x20165,x20166,x20167,x20168,x20169)) % 219.27/219.55 [2017]~E(x20171,x20172)+E(f848(x20173,x20171,x20174,x20175,x20176,x20177,x20178,x20179),f848(x20173,x20172,x20174,x20175,x20176,x20177,x20178,x20179)) % 219.27/219.55 [2018]~E(x20181,x20182)+E(f848(x20183,x20184,x20181,x20185,x20186,x20187,x20188,x20189),f848(x20183,x20184,x20182,x20185,x20186,x20187,x20188,x20189)) % 219.27/219.55 [2019]~E(x20191,x20192)+E(f848(x20193,x20194,x20195,x20191,x20196,x20197,x20198,x20199),f848(x20193,x20194,x20195,x20192,x20196,x20197,x20198,x20199)) % 219.27/219.55 [2020]~E(x20201,x20202)+E(f848(x20203,x20204,x20205,x20206,x20201,x20207,x20208,x20209),f848(x20203,x20204,x20205,x20206,x20202,x20207,x20208,x20209)) % 219.27/219.55 [2021]~E(x20211,x20212)+E(f848(x20213,x20214,x20215,x20216,x20217,x20211,x20218,x20219),f848(x20213,x20214,x20215,x20216,x20217,x20212,x20218,x20219)) % 219.27/219.55 [2022]~E(x20221,x20222)+E(f848(x20223,x20224,x20225,x20226,x20227,x20228,x20221,x20229),f848(x20223,x20224,x20225,x20226,x20227,x20228,x20222,x20229)) % 219.27/219.55 [2023]~E(x20231,x20232)+E(f848(x20233,x20234,x20235,x20236,x20237,x20238,x20239,x20231),f848(x20233,x20234,x20235,x20236,x20237,x20238,x20239,x20232)) % 219.27/219.55 [2024]~E(x20241,x20242)+E(f591(x20241,x20243,x20244),f591(x20242,x20243,x20244)) % 219.27/219.55 [2025]~E(x20251,x20252)+E(f591(x20253,x20251,x20254),f591(x20253,x20252,x20254)) % 219.27/219.55 [2026]~E(x20261,x20262)+E(f591(x20263,x20264,x20261),f591(x20263,x20264,x20262)) % 219.27/219.55 [2027]~E(x20271,x20272)+E(f502(x20271,x20273,x20274),f502(x20272,x20273,x20274)) % 219.27/219.55 [2028]~E(x20281,x20282)+E(f502(x20283,x20281,x20284),f502(x20283,x20282,x20284)) % 219.27/219.55 [2029]~E(x20291,x20292)+E(f502(x20293,x20294,x20291),f502(x20293,x20294,x20292)) % 219.27/219.55 [2030]~E(x20301,x20302)+E(f35(x20301),f35(x20302)) % 219.27/219.55 [2031]~E(x20311,x20312)+E(f382(x20311,x20313,x20314,x20315,x20316),f382(x20312,x20313,x20314,x20315,x20316)) % 219.27/219.55 [2032]~E(x20321,x20322)+E(f382(x20323,x20321,x20324,x20325,x20326),f382(x20323,x20322,x20324,x20325,x20326)) % 219.27/219.55 [2033]~E(x20331,x20332)+E(f382(x20333,x20334,x20331,x20335,x20336),f382(x20333,x20334,x20332,x20335,x20336)) % 219.27/219.55 [2034]~E(x20341,x20342)+E(f382(x20343,x20344,x20345,x20341,x20346),f382(x20343,x20344,x20345,x20342,x20346)) % 219.27/219.55 [2035]~E(x20351,x20352)+E(f382(x20353,x20354,x20355,x20356,x20351),f382(x20353,x20354,x20355,x20356,x20352)) % 219.27/219.55 [2036]~E(x20361,x20362)+E(f719(x20361,x20363,x20364,x20365),f719(x20362,x20363,x20364,x20365)) % 219.27/219.55 [2037]~E(x20371,x20372)+E(f719(x20373,x20371,x20374,x20375),f719(x20373,x20372,x20374,x20375)) % 219.27/219.55 [2038]~E(x20381,x20382)+E(f719(x20383,x20384,x20381,x20385),f719(x20383,x20384,x20382,x20385)) % 219.27/219.55 [2039]~E(x20391,x20392)+E(f719(x20393,x20394,x20395,x20391),f719(x20393,x20394,x20395,x20392)) % 219.27/219.55 [2040]~E(x20401,x20402)+E(f375(x20401,x20403,x20404),f375(x20402,x20403,x20404)) % 219.27/219.55 [2041]~E(x20411,x20412)+E(f375(x20413,x20411,x20414),f375(x20413,x20412,x20414)) % 219.27/219.55 [2042]~E(x20421,x20422)+E(f375(x20423,x20424,x20421),f375(x20423,x20424,x20422)) % 219.27/219.55 [2043]~E(x20431,x20432)+E(f871(x20431,x20433,x20434),f871(x20432,x20433,x20434)) % 219.27/219.55 [2044]~E(x20441,x20442)+E(f871(x20443,x20441,x20444),f871(x20443,x20442,x20444)) % 219.27/219.55 [2045]~E(x20451,x20452)+E(f871(x20453,x20454,x20451),f871(x20453,x20454,x20452)) % 219.27/219.55 [2046]~E(x20461,x20462)+E(f312(x20461,x20463,x20464,x20465),f312(x20462,x20463,x20464,x20465)) % 219.27/219.55 [2047]~E(x20471,x20472)+E(f312(x20473,x20471,x20474,x20475),f312(x20473,x20472,x20474,x20475)) % 219.27/219.55 [2048]~E(x20481,x20482)+E(f312(x20483,x20484,x20481,x20485),f312(x20483,x20484,x20482,x20485)) % 219.27/219.55 [2049]~E(x20491,x20492)+E(f312(x20493,x20494,x20495,x20491),f312(x20493,x20494,x20495,x20492)) % 219.27/219.55 [2050]~E(x20501,x20502)+E(f452(x20501,x20503),f452(x20502,x20503)) % 219.27/219.55 [2051]~E(x20511,x20512)+E(f452(x20513,x20511),f452(x20513,x20512)) % 219.27/219.55 [2052]~E(x20521,x20522)+E(f369(x20521,x20523,x20524,x20525),f369(x20522,x20523,x20524,x20525)) % 219.27/219.55 [2053]~E(x20531,x20532)+E(f369(x20533,x20531,x20534,x20535),f369(x20533,x20532,x20534,x20535)) % 219.27/219.55 [2054]~E(x20541,x20542)+E(f369(x20543,x20544,x20541,x20545),f369(x20543,x20544,x20542,x20545)) % 219.27/219.55 [2055]~E(x20551,x20552)+E(f369(x20553,x20554,x20555,x20551),f369(x20553,x20554,x20555,x20552)) % 219.27/219.55 [2056]~E(x20561,x20562)+E(f459(x20561,x20563,x20564,x20565,x20566,x20567),f459(x20562,x20563,x20564,x20565,x20566,x20567)) % 219.27/219.55 [2057]~E(x20571,x20572)+E(f459(x20573,x20571,x20574,x20575,x20576,x20577),f459(x20573,x20572,x20574,x20575,x20576,x20577)) % 219.27/219.55 [2058]~E(x20581,x20582)+E(f459(x20583,x20584,x20581,x20585,x20586,x20587),f459(x20583,x20584,x20582,x20585,x20586,x20587)) % 219.27/219.55 [2059]~E(x20591,x20592)+E(f459(x20593,x20594,x20595,x20591,x20596,x20597),f459(x20593,x20594,x20595,x20592,x20596,x20597)) % 219.27/219.55 [2060]~E(x20601,x20602)+E(f459(x20603,x20604,x20605,x20606,x20601,x20607),f459(x20603,x20604,x20605,x20606,x20602,x20607)) % 219.27/219.55 [2061]~E(x20611,x20612)+E(f459(x20613,x20614,x20615,x20616,x20617,x20611),f459(x20613,x20614,x20615,x20616,x20617,x20612)) % 219.27/219.55 [2062]~E(x20621,x20622)+E(f683(x20621,x20623,x20624,x20625),f683(x20622,x20623,x20624,x20625)) % 219.27/219.55 [2063]~E(x20631,x20632)+E(f683(x20633,x20631,x20634,x20635),f683(x20633,x20632,x20634,x20635)) % 219.27/219.55 [2064]~E(x20641,x20642)+E(f683(x20643,x20644,x20641,x20645),f683(x20643,x20644,x20642,x20645)) % 219.27/219.55 [2065]~E(x20651,x20652)+E(f683(x20653,x20654,x20655,x20651),f683(x20653,x20654,x20655,x20652)) % 219.27/219.55 [2066]~E(x20661,x20662)+E(f547(x20661,x20663,x20664,x20665,x20666,x20667,x20668),f547(x20662,x20663,x20664,x20665,x20666,x20667,x20668)) % 219.27/219.55 [2067]~E(x20671,x20672)+E(f547(x20673,x20671,x20674,x20675,x20676,x20677,x20678),f547(x20673,x20672,x20674,x20675,x20676,x20677,x20678)) % 219.27/219.55 [2068]~E(x20681,x20682)+E(f547(x20683,x20684,x20681,x20685,x20686,x20687,x20688),f547(x20683,x20684,x20682,x20685,x20686,x20687,x20688)) % 219.27/219.55 [2069]~E(x20691,x20692)+E(f547(x20693,x20694,x20695,x20691,x20696,x20697,x20698),f547(x20693,x20694,x20695,x20692,x20696,x20697,x20698)) % 219.27/219.55 [2070]~E(x20701,x20702)+E(f547(x20703,x20704,x20705,x20706,x20701,x20707,x20708),f547(x20703,x20704,x20705,x20706,x20702,x20707,x20708)) % 219.27/219.55 [2071]~E(x20711,x20712)+E(f547(x20713,x20714,x20715,x20716,x20717,x20711,x20718),f547(x20713,x20714,x20715,x20716,x20717,x20712,x20718)) % 219.27/219.55 [2072]~E(x20721,x20722)+E(f547(x20723,x20724,x20725,x20726,x20727,x20728,x20721),f547(x20723,x20724,x20725,x20726,x20727,x20728,x20722)) % 219.27/219.55 [2073]~E(x20731,x20732)+E(f651(x20731,x20733,x20734,x20735),f651(x20732,x20733,x20734,x20735)) % 219.27/219.55 [2074]~E(x20741,x20742)+E(f651(x20743,x20741,x20744,x20745),f651(x20743,x20742,x20744,x20745)) % 219.27/219.55 [2075]~E(x20751,x20752)+E(f651(x20753,x20754,x20751,x20755),f651(x20753,x20754,x20752,x20755)) % 219.27/219.55 [2076]~E(x20761,x20762)+E(f651(x20763,x20764,x20765,x20761),f651(x20763,x20764,x20765,x20762)) % 219.27/219.55 [2077]~E(x20771,x20772)+E(f661(x20771,x20773,x20774,x20775),f661(x20772,x20773,x20774,x20775)) % 219.27/219.55 [2078]~E(x20781,x20782)+E(f661(x20783,x20781,x20784,x20785),f661(x20783,x20782,x20784,x20785)) % 219.27/219.55 [2079]~E(x20791,x20792)+E(f661(x20793,x20794,x20791,x20795),f661(x20793,x20794,x20792,x20795)) % 219.27/219.55 [2080]~E(x20801,x20802)+E(f661(x20803,x20804,x20805,x20801),f661(x20803,x20804,x20805,x20802)) % 219.27/219.55 [2081]~E(x20811,x20812)+E(f713(x20811,x20813,x20814),f713(x20812,x20813,x20814)) % 219.27/219.55 [2082]~E(x20821,x20822)+E(f713(x20823,x20821,x20824),f713(x20823,x20822,x20824)) % 219.27/219.55 [2083]~E(x20831,x20832)+E(f713(x20833,x20834,x20831),f713(x20833,x20834,x20832)) % 219.27/219.55 [2084]~E(x20841,x20842)+E(f859(x20841,x20843,x20844,x20845),f859(x20842,x20843,x20844,x20845)) % 219.27/219.55 [2085]~E(x20851,x20852)+E(f859(x20853,x20851,x20854,x20855),f859(x20853,x20852,x20854,x20855)) % 219.27/219.55 [2086]~E(x20861,x20862)+E(f859(x20863,x20864,x20861,x20865),f859(x20863,x20864,x20862,x20865)) % 219.27/219.55 [2087]~E(x20871,x20872)+E(f859(x20873,x20874,x20875,x20871),f859(x20873,x20874,x20875,x20872)) % 219.27/219.55 [2088]~E(x20881,x20882)+E(f496(x20881,x20883,x20884),f496(x20882,x20883,x20884)) % 219.27/219.55 [2089]~E(x20891,x20892)+E(f496(x20893,x20891,x20894),f496(x20893,x20892,x20894)) % 219.27/219.55 [2090]~E(x20901,x20902)+E(f496(x20903,x20904,x20901),f496(x20903,x20904,x20902)) % 219.27/219.55 [2091]~E(x20911,x20912)+E(f492(x20911,x20913,x20914,x20915,x20916),f492(x20912,x20913,x20914,x20915,x20916)) % 219.27/219.55 [2092]~E(x20921,x20922)+E(f492(x20923,x20921,x20924,x20925,x20926),f492(x20923,x20922,x20924,x20925,x20926)) % 219.27/219.55 [2093]~E(x20931,x20932)+E(f492(x20933,x20934,x20931,x20935,x20936),f492(x20933,x20934,x20932,x20935,x20936)) % 219.27/219.55 [2094]~E(x20941,x20942)+E(f492(x20943,x20944,x20945,x20941,x20946),f492(x20943,x20944,x20945,x20942,x20946)) % 219.27/219.55 [2095]~E(x20951,x20952)+E(f492(x20953,x20954,x20955,x20956,x20951),f492(x20953,x20954,x20955,x20956,x20952)) % 219.27/219.55 [2096]~E(x20961,x20962)+E(f357(x20961,x20963,x20964),f357(x20962,x20963,x20964)) % 219.27/219.55 [2097]~E(x20971,x20972)+E(f357(x20973,x20971,x20974),f357(x20973,x20972,x20974)) % 219.27/219.55 [2098]~E(x20981,x20982)+E(f357(x20983,x20984,x20981),f357(x20983,x20984,x20982)) % 219.27/219.55 [2099]~E(x20991,x20992)+E(f754(x20991,x20993,x20994,x20995,x20996,x20997,x20998,x20999),f754(x20992,x20993,x20994,x20995,x20996,x20997,x20998,x20999)) % 219.27/219.55 [2100]~E(x21001,x21002)+E(f754(x21003,x21001,x21004,x21005,x21006,x21007,x21008,x21009),f754(x21003,x21002,x21004,x21005,x21006,x21007,x21008,x21009)) % 219.27/219.55 [2101]~E(x21011,x21012)+E(f754(x21013,x21014,x21011,x21015,x21016,x21017,x21018,x21019),f754(x21013,x21014,x21012,x21015,x21016,x21017,x21018,x21019)) % 219.27/219.55 [2102]~E(x21021,x21022)+E(f754(x21023,x21024,x21025,x21021,x21026,x21027,x21028,x21029),f754(x21023,x21024,x21025,x21022,x21026,x21027,x21028,x21029)) % 219.27/219.55 [2103]~E(x21031,x21032)+E(f754(x21033,x21034,x21035,x21036,x21031,x21037,x21038,x21039),f754(x21033,x21034,x21035,x21036,x21032,x21037,x21038,x21039)) % 219.27/219.55 [2104]~E(x21041,x21042)+E(f754(x21043,x21044,x21045,x21046,x21047,x21041,x21048,x21049),f754(x21043,x21044,x21045,x21046,x21047,x21042,x21048,x21049)) % 219.27/219.55 [2105]~E(x21051,x21052)+E(f754(x21053,x21054,x21055,x21056,x21057,x21058,x21051,x21059),f754(x21053,x21054,x21055,x21056,x21057,x21058,x21052,x21059)) % 219.27/219.55 [2106]~E(x21061,x21062)+E(f754(x21063,x21064,x21065,x21066,x21067,x21068,x21069,x21061),f754(x21063,x21064,x21065,x21066,x21067,x21068,x21069,x21062)) % 219.27/219.55 [2107]~E(x21071,x21072)+E(f866(x21071,x21073,x21074,x21075,x21076,x21077,x21078),f866(x21072,x21073,x21074,x21075,x21076,x21077,x21078)) % 219.27/219.55 [2108]~E(x21081,x21082)+E(f866(x21083,x21081,x21084,x21085,x21086,x21087,x21088),f866(x21083,x21082,x21084,x21085,x21086,x21087,x21088)) % 219.27/219.55 [2109]~E(x21091,x21092)+E(f866(x21093,x21094,x21091,x21095,x21096,x21097,x21098),f866(x21093,x21094,x21092,x21095,x21096,x21097,x21098)) % 219.27/219.55 [2110]~E(x21101,x21102)+E(f866(x21103,x21104,x21105,x21101,x21106,x21107,x21108),f866(x21103,x21104,x21105,x21102,x21106,x21107,x21108)) % 219.27/219.55 [2111]~E(x21111,x21112)+E(f866(x21113,x21114,x21115,x21116,x21111,x21117,x21118),f866(x21113,x21114,x21115,x21116,x21112,x21117,x21118)) % 219.27/219.55 [2112]~E(x21121,x21122)+E(f866(x21123,x21124,x21125,x21126,x21127,x21121,x21128),f866(x21123,x21124,x21125,x21126,x21127,x21122,x21128)) % 219.27/219.55 [2113]~E(x21131,x21132)+E(f866(x21133,x21134,x21135,x21136,x21137,x21138,x21131),f866(x21133,x21134,x21135,x21136,x21137,x21138,x21132)) % 219.27/219.55 [2114]~E(x21141,x21142)+E(f206(x21141,x21143),f206(x21142,x21143)) % 219.27/219.55 [2115]~E(x21151,x21152)+E(f206(x21153,x21151),f206(x21153,x21152)) % 219.27/219.55 [2116]~E(x21161,x21162)+E(f313(x21161,x21163,x21164),f313(x21162,x21163,x21164)) % 219.27/219.55 [2117]~E(x21171,x21172)+E(f313(x21173,x21171,x21174),f313(x21173,x21172,x21174)) % 219.27/219.55 [2118]~E(x21181,x21182)+E(f313(x21183,x21184,x21181),f313(x21183,x21184,x21182)) % 219.27/219.55 [2119]~E(x21191,x21192)+E(f172(x21191),f172(x21192)) % 219.27/219.55 [2120]~E(x21201,x21202)+E(f615(x21201,x21203,x21204,x21205),f615(x21202,x21203,x21204,x21205)) % 219.27/219.55 [2121]~E(x21211,x21212)+E(f615(x21213,x21211,x21214,x21215),f615(x21213,x21212,x21214,x21215)) % 219.27/219.55 [2122]~E(x21221,x21222)+E(f615(x21223,x21224,x21221,x21225),f615(x21223,x21224,x21222,x21225)) % 219.27/219.55 [2123]~E(x21231,x21232)+E(f615(x21233,x21234,x21235,x21231),f615(x21233,x21234,x21235,x21232)) % 219.27/219.55 [2124]~E(x21241,x21242)+E(f455(x21241,x21243,x21244,x21245),f455(x21242,x21243,x21244,x21245)) % 219.27/219.55 [2125]~E(x21251,x21252)+E(f455(x21253,x21251,x21254,x21255),f455(x21253,x21252,x21254,x21255)) % 219.27/219.55 [2126]~E(x21261,x21262)+E(f455(x21263,x21264,x21261,x21265),f455(x21263,x21264,x21262,x21265)) % 219.27/219.55 [2127]~E(x21271,x21272)+E(f455(x21273,x21274,x21275,x21271),f455(x21273,x21274,x21275,x21272)) % 219.27/219.55 [2128]~E(x21281,x21282)+E(f918(x21281,x21283),f918(x21282,x21283)) % 219.27/219.55 [2129]~E(x21291,x21292)+E(f918(x21293,x21291),f918(x21293,x21292)) % 219.27/219.55 [2130]~E(x21301,x21302)+E(f657(x21301,x21303,x21304,x21305),f657(x21302,x21303,x21304,x21305)) % 219.27/219.55 [2131]~E(x21311,x21312)+E(f657(x21313,x21311,x21314,x21315),f657(x21313,x21312,x21314,x21315)) % 219.27/219.55 [2132]~E(x21321,x21322)+E(f657(x21323,x21324,x21321,x21325),f657(x21323,x21324,x21322,x21325)) % 219.27/219.55 [2133]~E(x21331,x21332)+E(f657(x21333,x21334,x21335,x21331),f657(x21333,x21334,x21335,x21332)) % 219.27/219.55 [2134]~E(x21341,x21342)+E(f442(x21341,x21343),f442(x21342,x21343)) % 219.27/219.55 [2135]~E(x21351,x21352)+E(f442(x21353,x21351),f442(x21353,x21352)) % 219.27/219.55 [2136]~E(x21361,x21362)+E(f577(x21361,x21363,x21364,x21365),f577(x21362,x21363,x21364,x21365)) % 219.27/219.55 [2137]~E(x21371,x21372)+E(f577(x21373,x21371,x21374,x21375),f577(x21373,x21372,x21374,x21375)) % 219.27/219.55 [2138]~E(x21381,x21382)+E(f577(x21383,x21384,x21381,x21385),f577(x21383,x21384,x21382,x21385)) % 219.27/219.55 [2139]~E(x21391,x21392)+E(f577(x21393,x21394,x21395,x21391),f577(x21393,x21394,x21395,x21392)) % 219.27/219.55 [2140]~E(x21401,x21402)+E(f290(x21401,x21403,x21404),f290(x21402,x21403,x21404)) % 219.27/219.55 [2141]~E(x21411,x21412)+E(f290(x21413,x21411,x21414),f290(x21413,x21412,x21414)) % 219.27/219.55 [2142]~E(x21421,x21422)+E(f290(x21423,x21424,x21421),f290(x21423,x21424,x21422)) % 219.27/219.55 [2143]~E(x21431,x21432)+E(f387(x21431,x21433,x21434,x21435),f387(x21432,x21433,x21434,x21435)) % 219.27/219.55 [2144]~E(x21441,x21442)+E(f387(x21443,x21441,x21444,x21445),f387(x21443,x21442,x21444,x21445)) % 219.27/219.55 [2145]~E(x21451,x21452)+E(f387(x21453,x21454,x21451,x21455),f387(x21453,x21454,x21452,x21455)) % 219.27/219.55 [2146]~E(x21461,x21462)+E(f387(x21463,x21464,x21465,x21461),f387(x21463,x21464,x21465,x21462)) % 219.27/219.55 [2147]~E(x21471,x21472)+E(f538(x21471,x21473,x21474),f538(x21472,x21473,x21474)) % 219.27/219.55 [2148]~E(x21481,x21482)+E(f538(x21483,x21481,x21484),f538(x21483,x21482,x21484)) % 219.27/219.55 [2149]~E(x21491,x21492)+E(f538(x21493,x21494,x21491),f538(x21493,x21494,x21492)) % 219.27/219.55 [2150]~E(x21501,x21502)+E(f581(x21501,x21503,x21504,x21505,x21506,x21507),f581(x21502,x21503,x21504,x21505,x21506,x21507)) % 219.27/219.55 [2151]~E(x21511,x21512)+E(f581(x21513,x21511,x21514,x21515,x21516,x21517),f581(x21513,x21512,x21514,x21515,x21516,x21517)) % 219.27/219.55 [2152]~E(x21521,x21522)+E(f581(x21523,x21524,x21521,x21525,x21526,x21527),f581(x21523,x21524,x21522,x21525,x21526,x21527)) % 219.27/219.55 [2153]~E(x21531,x21532)+E(f581(x21533,x21534,x21535,x21531,x21536,x21537),f581(x21533,x21534,x21535,x21532,x21536,x21537)) % 219.27/219.55 [2154]~E(x21541,x21542)+E(f581(x21543,x21544,x21545,x21546,x21541,x21547),f581(x21543,x21544,x21545,x21546,x21542,x21547)) % 219.27/219.55 [2155]~E(x21551,x21552)+E(f581(x21553,x21554,x21555,x21556,x21557,x21551),f581(x21553,x21554,x21555,x21556,x21557,x21552)) % 219.27/219.55 [2156]~E(x21561,x21562)+E(f857(x21561,x21563,x21564),f857(x21562,x21563,x21564)) % 219.27/219.55 [2157]~E(x21571,x21572)+E(f857(x21573,x21571,x21574),f857(x21573,x21572,x21574)) % 219.27/219.55 [2158]~E(x21581,x21582)+E(f857(x21583,x21584,x21581),f857(x21583,x21584,x21582)) % 219.27/219.55 [2159]~E(x21591,x21592)+E(f380(x21591,x21593,x21594,x21595),f380(x21592,x21593,x21594,x21595)) % 219.27/219.55 [2160]~E(x21601,x21602)+E(f380(x21603,x21601,x21604,x21605),f380(x21603,x21602,x21604,x21605)) % 219.27/219.55 [2161]~E(x21611,x21612)+E(f380(x21613,x21614,x21611,x21615),f380(x21613,x21614,x21612,x21615)) % 219.27/219.55 [2162]~E(x21621,x21622)+E(f380(x21623,x21624,x21625,x21621),f380(x21623,x21624,x21625,x21622)) % 219.27/219.55 [2163]~E(x21631,x21632)+E(f648(x21631,x21633),f648(x21632,x21633)) % 219.27/219.55 [2164]~E(x21641,x21642)+E(f648(x21643,x21641),f648(x21643,x21642)) % 219.27/219.55 [2165]~E(x21651,x21652)+E(f378(x21651,x21653,x21654),f378(x21652,x21653,x21654)) % 219.27/219.55 [2166]~E(x21661,x21662)+E(f378(x21663,x21661,x21664),f378(x21663,x21662,x21664)) % 219.27/219.55 [2167]~E(x21671,x21672)+E(f378(x21673,x21674,x21671),f378(x21673,x21674,x21672)) % 219.27/219.55 [2168]~E(x21681,x21682)+E(f887(x21681,x21683,x21684,x21685,x21686),f887(x21682,x21683,x21684,x21685,x21686)) % 219.27/219.55 [2169]~E(x21691,x21692)+E(f887(x21693,x21691,x21694,x21695,x21696),f887(x21693,x21692,x21694,x21695,x21696)) % 219.27/219.55 [2170]~E(x21701,x21702)+E(f887(x21703,x21704,x21701,x21705,x21706),f887(x21703,x21704,x21702,x21705,x21706)) % 219.27/219.55 [2171]~E(x21711,x21712)+E(f887(x21713,x21714,x21715,x21711,x21716),f887(x21713,x21714,x21715,x21712,x21716)) % 219.27/219.55 [2172]~E(x21721,x21722)+E(f887(x21723,x21724,x21725,x21726,x21721),f887(x21723,x21724,x21725,x21726,x21722)) % 219.27/219.55 [2173]~E(x21731,x21732)+E(f61(x21731,x21733,x21734),f61(x21732,x21733,x21734)) % 219.27/219.55 [2174]~E(x21741,x21742)+E(f61(x21743,x21741,x21744),f61(x21743,x21742,x21744)) % 219.27/219.55 [2175]~E(x21751,x21752)+E(f61(x21753,x21754,x21751),f61(x21753,x21754,x21752)) % 219.27/219.55 [2176]~E(x21761,x21762)+E(f435(x21761,x21763,x21764),f435(x21762,x21763,x21764)) % 219.27/219.55 [2177]~E(x21771,x21772)+E(f435(x21773,x21771,x21774),f435(x21773,x21772,x21774)) % 219.27/219.55 [2178]~E(x21781,x21782)+E(f435(x21783,x21784,x21781),f435(x21783,x21784,x21782)) % 219.27/219.55 [2179]~E(x21791,x21792)+E(f415(x21791,x21793,x21794,x21795),f415(x21792,x21793,x21794,x21795)) % 219.27/219.55 [2180]~E(x21801,x21802)+E(f415(x21803,x21801,x21804,x21805),f415(x21803,x21802,x21804,x21805)) % 219.27/219.55 [2181]~E(x21811,x21812)+E(f415(x21813,x21814,x21811,x21815),f415(x21813,x21814,x21812,x21815)) % 219.27/219.55 [2182]~E(x21821,x21822)+E(f415(x21823,x21824,x21825,x21821),f415(x21823,x21824,x21825,x21822)) % 219.27/219.55 [2183]~E(x21831,x21832)+E(f832(x21831,x21833,x21834,x21835,x21836,x21837),f832(x21832,x21833,x21834,x21835,x21836,x21837)) % 219.27/219.55 [2184]~E(x21841,x21842)+E(f832(x21843,x21841,x21844,x21845,x21846,x21847),f832(x21843,x21842,x21844,x21845,x21846,x21847)) % 219.27/219.55 [2185]~E(x21851,x21852)+E(f832(x21853,x21854,x21851,x21855,x21856,x21857),f832(x21853,x21854,x21852,x21855,x21856,x21857)) % 219.27/219.55 [2186]~E(x21861,x21862)+E(f832(x21863,x21864,x21865,x21861,x21866,x21867),f832(x21863,x21864,x21865,x21862,x21866,x21867)) % 219.27/219.55 [2187]~E(x21871,x21872)+E(f832(x21873,x21874,x21875,x21876,x21871,x21877),f832(x21873,x21874,x21875,x21876,x21872,x21877)) % 219.27/219.55 [2188]~E(x21881,x21882)+E(f832(x21883,x21884,x21885,x21886,x21887,x21881),f832(x21883,x21884,x21885,x21886,x21887,x21882)) % 219.27/219.55 [2189]~E(x21891,x21892)+E(f287(x21891,x21893,x21894),f287(x21892,x21893,x21894)) % 219.27/219.55 [2190]~E(x21901,x21902)+E(f287(x21903,x21901,x21904),f287(x21903,x21902,x21904)) % 219.27/219.55 [2191]~E(x21911,x21912)+E(f287(x21913,x21914,x21911),f287(x21913,x21914,x21912)) % 219.27/219.55 [2192]~E(x21921,x21922)+E(f639(x21921,x21923,x21924,x21925,x21926),f639(x21922,x21923,x21924,x21925,x21926)) % 219.27/219.55 [2193]~E(x21931,x21932)+E(f639(x21933,x21931,x21934,x21935,x21936),f639(x21933,x21932,x21934,x21935,x21936)) % 219.27/219.55 [2194]~E(x21941,x21942)+E(f639(x21943,x21944,x21941,x21945,x21946),f639(x21943,x21944,x21942,x21945,x21946)) % 219.27/219.55 [2195]~E(x21951,x21952)+E(f639(x21953,x21954,x21955,x21951,x21956),f639(x21953,x21954,x21955,x21952,x21956)) % 219.27/219.55 [2196]~E(x21961,x21962)+E(f639(x21963,x21964,x21965,x21966,x21961),f639(x21963,x21964,x21965,x21966,x21962)) % 219.27/219.55 [2197]~E(x21971,x21972)+E(f464(x21971,x21973,x21974,x21975,x21976,x21977),f464(x21972,x21973,x21974,x21975,x21976,x21977)) % 219.27/219.55 [2198]~E(x21981,x21982)+E(f464(x21983,x21981,x21984,x21985,x21986,x21987),f464(x21983,x21982,x21984,x21985,x21986,x21987)) % 219.27/219.55 [2199]~E(x21991,x21992)+E(f464(x21993,x21994,x21991,x21995,x21996,x21997),f464(x21993,x21994,x21992,x21995,x21996,x21997)) % 219.27/219.55 [2200]~E(x22001,x22002)+E(f464(x22003,x22004,x22005,x22001,x22006,x22007),f464(x22003,x22004,x22005,x22002,x22006,x22007)) % 219.27/219.55 [2201]~E(x22011,x22012)+E(f464(x22013,x22014,x22015,x22016,x22011,x22017),f464(x22013,x22014,x22015,x22016,x22012,x22017)) % 219.27/219.55 [2202]~E(x22021,x22022)+E(f464(x22023,x22024,x22025,x22026,x22027,x22021),f464(x22023,x22024,x22025,x22026,x22027,x22022)) % 219.27/219.55 [2203]~E(x22031,x22032)+E(f339(x22031,x22033,x22034,x22035),f339(x22032,x22033,x22034,x22035)) % 219.27/219.55 [2204]~E(x22041,x22042)+E(f339(x22043,x22041,x22044,x22045),f339(x22043,x22042,x22044,x22045)) % 219.27/219.55 [2205]~E(x22051,x22052)+E(f339(x22053,x22054,x22051,x22055),f339(x22053,x22054,x22052,x22055)) % 219.27/219.55 [2206]~E(x22061,x22062)+E(f339(x22063,x22064,x22065,x22061),f339(x22063,x22064,x22065,x22062)) % 219.27/219.55 [2207]~E(x22071,x22072)+E(f769(x22071,x22073,x22074,x22075,x22076,x22077,x22078),f769(x22072,x22073,x22074,x22075,x22076,x22077,x22078)) % 219.27/219.55 [2208]~E(x22081,x22082)+E(f769(x22083,x22081,x22084,x22085,x22086,x22087,x22088),f769(x22083,x22082,x22084,x22085,x22086,x22087,x22088)) % 219.27/219.55 [2209]~E(x22091,x22092)+E(f769(x22093,x22094,x22091,x22095,x22096,x22097,x22098),f769(x22093,x22094,x22092,x22095,x22096,x22097,x22098)) % 219.27/219.55 [2210]~E(x22101,x22102)+E(f769(x22103,x22104,x22105,x22101,x22106,x22107,x22108),f769(x22103,x22104,x22105,x22102,x22106,x22107,x22108)) % 219.27/219.55 [2211]~E(x22111,x22112)+E(f769(x22113,x22114,x22115,x22116,x22111,x22117,x22118),f769(x22113,x22114,x22115,x22116,x22112,x22117,x22118)) % 219.27/219.55 [2212]~E(x22121,x22122)+E(f769(x22123,x22124,x22125,x22126,x22127,x22121,x22128),f769(x22123,x22124,x22125,x22126,x22127,x22122,x22128)) % 219.27/219.55 [2213]~E(x22131,x22132)+E(f769(x22133,x22134,x22135,x22136,x22137,x22138,x22131),f769(x22133,x22134,x22135,x22136,x22137,x22138,x22132)) % 219.27/219.55 [2214]~E(x22141,x22142)+E(f411(x22141,x22143,x22144),f411(x22142,x22143,x22144)) % 219.27/219.55 [2215]~E(x22151,x22152)+E(f411(x22153,x22151,x22154),f411(x22153,x22152,x22154)) % 219.27/219.55 [2216]~E(x22161,x22162)+E(f411(x22163,x22164,x22161),f411(x22163,x22164,x22162)) % 219.27/219.55 [2217]~E(x22171,x22172)+E(f266(x22171,x22173,x22174),f266(x22172,x22173,x22174)) % 219.27/219.55 [2218]~E(x22181,x22182)+E(f266(x22183,x22181,x22184),f266(x22183,x22182,x22184)) % 219.27/219.55 [2219]~E(x22191,x22192)+E(f266(x22193,x22194,x22191),f266(x22193,x22194,x22192)) % 219.27/219.55 [2220]~E(x22201,x22202)+E(f687(x22201,x22203),f687(x22202,x22203)) % 219.27/219.55 [2221]~E(x22211,x22212)+E(f687(x22213,x22211),f687(x22213,x22212)) % 219.27/219.55 [2222]~E(x22221,x22222)+E(f158(x22221,x22223,x22224),f158(x22222,x22223,x22224)) % 219.27/219.55 [2223]~E(x22231,x22232)+E(f158(x22233,x22231,x22234),f158(x22233,x22232,x22234)) % 219.27/219.55 [2224]~E(x22241,x22242)+E(f158(x22243,x22244,x22241),f158(x22243,x22244,x22242)) % 219.27/219.55 [2225]~E(x22251,x22252)+E(f566(x22251,x22253,x22254,x22255),f566(x22252,x22253,x22254,x22255)) % 219.27/219.55 [2226]~E(x22261,x22262)+E(f566(x22263,x22261,x22264,x22265),f566(x22263,x22262,x22264,x22265)) % 219.27/219.55 [2227]~E(x22271,x22272)+E(f566(x22273,x22274,x22271,x22275),f566(x22273,x22274,x22272,x22275)) % 219.27/219.55 [2228]~E(x22281,x22282)+E(f566(x22283,x22284,x22285,x22281),f566(x22283,x22284,x22285,x22282)) % 219.27/219.55 [2229]~E(x22291,x22292)+E(f823(x22291,x22293),f823(x22292,x22293)) % 219.27/219.55 [2230]~E(x22301,x22302)+E(f823(x22303,x22301),f823(x22303,x22302)) % 219.27/219.55 [2231]~E(x22311,x22312)+E(f916(x22311,x22313,x22314,x22315),f916(x22312,x22313,x22314,x22315)) % 219.27/219.55 [2232]~E(x22321,x22322)+E(f916(x22323,x22321,x22324,x22325),f916(x22323,x22322,x22324,x22325)) % 219.27/219.55 [2233]~E(x22331,x22332)+E(f916(x22333,x22334,x22331,x22335),f916(x22333,x22334,x22332,x22335)) % 219.27/219.55 [2234]~E(x22341,x22342)+E(f916(x22343,x22344,x22345,x22341),f916(x22343,x22344,x22345,x22342)) % 219.27/219.55 [2235]~E(x22351,x22352)+E(f745(x22351,x22353,x22354,x22355),f745(x22352,x22353,x22354,x22355)) % 219.27/219.55 [2236]~E(x22361,x22362)+E(f745(x22363,x22361,x22364,x22365),f745(x22363,x22362,x22364,x22365)) % 219.27/219.55 [2237]~E(x22371,x22372)+E(f745(x22373,x22374,x22371,x22375),f745(x22373,x22374,x22372,x22375)) % 219.27/219.55 [2238]~E(x22381,x22382)+E(f745(x22383,x22384,x22385,x22381),f745(x22383,x22384,x22385,x22382)) % 219.27/219.55 [2239]~E(x22391,x22392)+E(f526(x22391,x22393,x22394),f526(x22392,x22393,x22394)) % 219.27/219.55 [2240]~E(x22401,x22402)+E(f526(x22403,x22401,x22404),f526(x22403,x22402,x22404)) % 219.27/219.55 [2241]~E(x22411,x22412)+E(f526(x22413,x22414,x22411),f526(x22413,x22414,x22412)) % 219.27/219.55 [2242]~E(x22421,x22422)+E(f781(x22421,x22423,x22424),f781(x22422,x22423,x22424)) % 219.27/219.55 [2243]~E(x22431,x22432)+E(f781(x22433,x22431,x22434),f781(x22433,x22432,x22434)) % 219.27/219.55 [2244]~E(x22441,x22442)+E(f781(x22443,x22444,x22441),f781(x22443,x22444,x22442)) % 219.27/219.55 [2245]~E(x22451,x22452)+E(f553(x22451,x22453,x22454,x22455,x22456,x22457),f553(x22452,x22453,x22454,x22455,x22456,x22457)) % 219.27/219.55 [2246]~E(x22461,x22462)+E(f553(x22463,x22461,x22464,x22465,x22466,x22467),f553(x22463,x22462,x22464,x22465,x22466,x22467)) % 219.27/219.55 [2247]~E(x22471,x22472)+E(f553(x22473,x22474,x22471,x22475,x22476,x22477),f553(x22473,x22474,x22472,x22475,x22476,x22477)) % 219.27/219.55 [2248]~E(x22481,x22482)+E(f553(x22483,x22484,x22485,x22481,x22486,x22487),f553(x22483,x22484,x22485,x22482,x22486,x22487)) % 219.27/219.55 [2249]~E(x22491,x22492)+E(f553(x22493,x22494,x22495,x22496,x22491,x22497),f553(x22493,x22494,x22495,x22496,x22492,x22497)) % 219.27/219.55 [2250]~E(x22501,x22502)+E(f553(x22503,x22504,x22505,x22506,x22507,x22501),f553(x22503,x22504,x22505,x22506,x22507,x22502)) % 219.27/219.55 [2251]~E(x22511,x22512)+E(f525(x22511,x22513,x22514),f525(x22512,x22513,x22514)) % 219.27/219.55 [2252]~E(x22521,x22522)+E(f525(x22523,x22521,x22524),f525(x22523,x22522,x22524)) % 219.27/219.55 [2253]~E(x22531,x22532)+E(f525(x22533,x22534,x22531),f525(x22533,x22534,x22532)) % 219.27/219.55 [2254]~E(x22541,x22542)+E(f892(x22541,x22543,x22544,x22545),f892(x22542,x22543,x22544,x22545)) % 219.27/219.55 [2255]~E(x22551,x22552)+E(f892(x22553,x22551,x22554,x22555),f892(x22553,x22552,x22554,x22555)) % 219.27/219.55 [2256]~E(x22561,x22562)+E(f892(x22563,x22564,x22561,x22565),f892(x22563,x22564,x22562,x22565)) % 219.27/219.55 [2257]~E(x22571,x22572)+E(f892(x22573,x22574,x22575,x22571),f892(x22573,x22574,x22575,x22572)) % 219.27/219.55 [2258]~E(x22581,x22582)+E(f614(x22581,x22583,x22584,x22585),f614(x22582,x22583,x22584,x22585)) % 219.27/219.55 [2259]~E(x22591,x22592)+E(f614(x22593,x22591,x22594,x22595),f614(x22593,x22592,x22594,x22595)) % 219.27/219.55 [2260]~E(x22601,x22602)+E(f614(x22603,x22604,x22601,x22605),f614(x22603,x22604,x22602,x22605)) % 219.27/219.55 [2261]~E(x22611,x22612)+E(f614(x22613,x22614,x22615,x22611),f614(x22613,x22614,x22615,x22612)) % 219.27/219.55 [2262]~E(x22621,x22622)+E(f659(x22621,x22623,x22624),f659(x22622,x22623,x22624)) % 219.27/219.55 [2263]~E(x22631,x22632)+E(f659(x22633,x22631,x22634),f659(x22633,x22632,x22634)) % 219.27/219.55 [2264]~E(x22641,x22642)+E(f659(x22643,x22644,x22641),f659(x22643,x22644,x22642)) % 219.27/219.55 [2265]~E(x22651,x22652)+E(f370(x22651),f370(x22652)) % 219.27/219.55 [2266]~E(x22661,x22662)+E(f356(x22661,x22663,x22664),f356(x22662,x22663,x22664)) % 219.27/219.55 [2267]~E(x22671,x22672)+E(f356(x22673,x22671,x22674),f356(x22673,x22672,x22674)) % 219.27/219.55 [2268]~E(x22681,x22682)+E(f356(x22683,x22684,x22681),f356(x22683,x22684,x22682)) % 219.27/219.55 [2269]~E(x22691,x22692)+E(f573(x22691,x22693,x22694,x22695),f573(x22692,x22693,x22694,x22695)) % 219.27/219.55 [2270]~E(x22701,x22702)+E(f573(x22703,x22701,x22704,x22705),f573(x22703,x22702,x22704,x22705)) % 219.27/219.55 [2271]~E(x22711,x22712)+E(f573(x22713,x22714,x22711,x22715),f573(x22713,x22714,x22712,x22715)) % 219.27/219.55 [2272]~E(x22721,x22722)+E(f573(x22723,x22724,x22725,x22721),f573(x22723,x22724,x22725,x22722)) % 219.27/219.55 [2273]~E(x22731,x22732)+E(f373(x22731),f373(x22732)) % 219.27/219.55 [2274]~E(x22741,x22742)+E(f447(x22741,x22743,x22744,x22745,x22746),f447(x22742,x22743,x22744,x22745,x22746)) % 219.27/219.55 [2275]~E(x22751,x22752)+E(f447(x22753,x22751,x22754,x22755,x22756),f447(x22753,x22752,x22754,x22755,x22756)) % 219.27/219.55 [2276]~E(x22761,x22762)+E(f447(x22763,x22764,x22761,x22765,x22766),f447(x22763,x22764,x22762,x22765,x22766)) % 219.27/219.55 [2277]~E(x22771,x22772)+E(f447(x22773,x22774,x22775,x22771,x22776),f447(x22773,x22774,x22775,x22772,x22776)) % 219.27/219.55 [2278]~E(x22781,x22782)+E(f447(x22783,x22784,x22785,x22786,x22781),f447(x22783,x22784,x22785,x22786,x22782)) % 219.27/219.55 [2279]~E(x22791,x22792)+E(f488(x22791,x22793,x22794),f488(x22792,x22793,x22794)) % 219.27/219.55 [2280]~E(x22801,x22802)+E(f488(x22803,x22801,x22804),f488(x22803,x22802,x22804)) % 219.27/219.55 [2281]~E(x22811,x22812)+E(f488(x22813,x22814,x22811),f488(x22813,x22814,x22812)) % 219.27/219.55 [2282]~E(x22821,x22822)+E(f764(x22821,x22823,x22824,x22825,x22826),f764(x22822,x22823,x22824,x22825,x22826)) % 219.27/219.55 [2283]~E(x22831,x22832)+E(f764(x22833,x22831,x22834,x22835,x22836),f764(x22833,x22832,x22834,x22835,x22836)) % 219.27/219.55 [2284]~E(x22841,x22842)+E(f764(x22843,x22844,x22841,x22845,x22846),f764(x22843,x22844,x22842,x22845,x22846)) % 219.27/219.55 [2285]~E(x22851,x22852)+E(f764(x22853,x22854,x22855,x22851,x22856),f764(x22853,x22854,x22855,x22852,x22856)) % 219.27/219.55 [2286]~E(x22861,x22862)+E(f764(x22863,x22864,x22865,x22866,x22861),f764(x22863,x22864,x22865,x22866,x22862)) % 219.27/219.55 [2287]~E(x22871,x22872)+E(f785(x22871,x22873,x22874),f785(x22872,x22873,x22874)) % 219.27/219.55 [2288]~E(x22881,x22882)+E(f785(x22883,x22881,x22884),f785(x22883,x22882,x22884)) % 219.27/219.55 [2289]~E(x22891,x22892)+E(f785(x22893,x22894,x22891),f785(x22893,x22894,x22892)) % 219.27/219.55 [2290]~E(x22901,x22902)+E(f763(x22901,x22903,x22904,x22905,x22906),f763(x22902,x22903,x22904,x22905,x22906)) % 219.27/219.55 [2291]~E(x22911,x22912)+E(f763(x22913,x22911,x22914,x22915,x22916),f763(x22913,x22912,x22914,x22915,x22916)) % 219.27/219.55 [2292]~E(x22921,x22922)+E(f763(x22923,x22924,x22921,x22925,x22926),f763(x22923,x22924,x22922,x22925,x22926)) % 219.27/219.55 [2293]~E(x22931,x22932)+E(f763(x22933,x22934,x22935,x22931,x22936),f763(x22933,x22934,x22935,x22932,x22936)) % 219.27/219.55 [2294]~E(x22941,x22942)+E(f763(x22943,x22944,x22945,x22946,x22941),f763(x22943,x22944,x22945,x22946,x22942)) % 219.27/219.55 [2295]~E(x22951,x22952)+E(f560(x22951,x22953,x22954),f560(x22952,x22953,x22954)) % 219.27/219.55 [2296]~E(x22961,x22962)+E(f560(x22963,x22961,x22964),f560(x22963,x22962,x22964)) % 219.27/219.55 [2297]~E(x22971,x22972)+E(f560(x22973,x22974,x22971),f560(x22973,x22974,x22972)) % 219.27/219.55 [2298]~E(x22981,x22982)+E(f494(x22981,x22983,x22984),f494(x22982,x22983,x22984)) % 219.27/219.55 [2299]~E(x22991,x22992)+E(f494(x22993,x22991,x22994),f494(x22993,x22992,x22994)) % 219.27/219.55 [2300]~E(x23001,x23002)+E(f494(x23003,x23004,x23001),f494(x23003,x23004,x23002)) % 219.27/219.55 [2301]~E(x23011,x23012)+E(f578(x23011,x23013,x23014,x23015),f578(x23012,x23013,x23014,x23015)) % 219.27/219.55 [2302]~E(x23021,x23022)+E(f578(x23023,x23021,x23024,x23025),f578(x23023,x23022,x23024,x23025)) % 219.27/219.55 [2303]~E(x23031,x23032)+E(f578(x23033,x23034,x23031,x23035),f578(x23033,x23034,x23032,x23035)) % 219.27/219.55 [2304]~E(x23041,x23042)+E(f578(x23043,x23044,x23045,x23041),f578(x23043,x23044,x23045,x23042)) % 219.27/219.55 [2305]~E(x23051,x23052)+E(f788(x23051,x23053,x23054),f788(x23052,x23053,x23054)) % 219.27/219.55 [2306]~E(x23061,x23062)+E(f788(x23063,x23061,x23064),f788(x23063,x23062,x23064)) % 219.27/219.55 [2307]~E(x23071,x23072)+E(f788(x23073,x23074,x23071),f788(x23073,x23074,x23072)) % 219.27/219.55 [2308]~E(x23081,x23082)+E(f345(x23081,x23083,x23084),f345(x23082,x23083,x23084)) % 219.27/219.55 [2309]~E(x23091,x23092)+E(f345(x23093,x23091,x23094),f345(x23093,x23092,x23094)) % 219.27/219.55 [2310]~E(x23101,x23102)+E(f345(x23103,x23104,x23101),f345(x23103,x23104,x23102)) % 219.27/219.55 [2311]~E(x23111,x23112)+E(f509(x23111,x23113,x23114),f509(x23112,x23113,x23114)) % 219.27/219.55 [2312]~E(x23121,x23122)+E(f509(x23123,x23121,x23124),f509(x23123,x23122,x23124)) % 219.27/219.55 [2313]~E(x23131,x23132)+E(f509(x23133,x23134,x23131),f509(x23133,x23134,x23132)) % 219.27/219.55 [2314]~E(x23141,x23142)+E(f779(x23141,x23143,x23144),f779(x23142,x23143,x23144)) % 219.27/219.55 [2315]~E(x23151,x23152)+E(f779(x23153,x23151,x23154),f779(x23153,x23152,x23154)) % 219.27/219.55 [2316]~E(x23161,x23162)+E(f779(x23163,x23164,x23161),f779(x23163,x23164,x23162)) % 219.27/219.55 [2317]~E(x23171,x23172)+E(f548(x23171,x23173,x23174,x23175,x23176,x23177),f548(x23172,x23173,x23174,x23175,x23176,x23177)) % 219.27/219.55 [2318]~E(x23181,x23182)+E(f548(x23183,x23181,x23184,x23185,x23186,x23187),f548(x23183,x23182,x23184,x23185,x23186,x23187)) % 219.27/219.55 [2319]~E(x23191,x23192)+E(f548(x23193,x23194,x23191,x23195,x23196,x23197),f548(x23193,x23194,x23192,x23195,x23196,x23197)) % 219.27/219.55 [2320]~E(x23201,x23202)+E(f548(x23203,x23204,x23205,x23201,x23206,x23207),f548(x23203,x23204,x23205,x23202,x23206,x23207)) % 219.27/219.55 [2321]~E(x23211,x23212)+E(f548(x23213,x23214,x23215,x23216,x23211,x23217),f548(x23213,x23214,x23215,x23216,x23212,x23217)) % 219.27/219.55 [2322]~E(x23221,x23222)+E(f548(x23223,x23224,x23225,x23226,x23227,x23221),f548(x23223,x23224,x23225,x23226,x23227,x23222)) % 219.27/219.55 [2323]~E(x23231,x23232)+E(f385(x23231,x23233,x23234,x23235),f385(x23232,x23233,x23234,x23235)) % 219.27/219.55 [2324]~E(x23241,x23242)+E(f385(x23243,x23241,x23244,x23245),f385(x23243,x23242,x23244,x23245)) % 219.27/219.55 [2325]~E(x23251,x23252)+E(f385(x23253,x23254,x23251,x23255),f385(x23253,x23254,x23252,x23255)) % 219.27/219.55 [2326]~E(x23261,x23262)+E(f385(x23263,x23264,x23265,x23261),f385(x23263,x23264,x23265,x23262)) % 219.27/219.55 [2327]~E(x23271,x23272)+E(f600(x23271,x23273,x23274),f600(x23272,x23273,x23274)) % 219.27/219.55 [2328]~E(x23281,x23282)+E(f600(x23283,x23281,x23284),f600(x23283,x23282,x23284)) % 219.27/219.55 [2329]~E(x23291,x23292)+E(f600(x23293,x23294,x23291),f600(x23293,x23294,x23292)) % 219.27/219.55 [2330]~E(x23301,x23302)+E(f216(x23301,x23303,x23304,x23305,x23306),f216(x23302,x23303,x23304,x23305,x23306)) % 219.27/219.55 [2331]~E(x23311,x23312)+E(f216(x23313,x23311,x23314,x23315,x23316),f216(x23313,x23312,x23314,x23315,x23316)) % 219.27/219.55 [2332]~E(x23321,x23322)+E(f216(x23323,x23324,x23321,x23325,x23326),f216(x23323,x23324,x23322,x23325,x23326)) % 219.27/219.55 [2333]~E(x23331,x23332)+E(f216(x23333,x23334,x23335,x23331,x23336),f216(x23333,x23334,x23335,x23332,x23336)) % 219.27/219.55 [2334]~E(x23341,x23342)+E(f216(x23343,x23344,x23345,x23346,x23341),f216(x23343,x23344,x23345,x23346,x23342)) % 219.27/219.55 [2335]~E(x23351,x23352)+E(f428(x23351,x23353,x23354),f428(x23352,x23353,x23354)) % 219.27/219.55 [2336]~E(x23361,x23362)+E(f428(x23363,x23361,x23364),f428(x23363,x23362,x23364)) % 219.27/219.55 [2337]~E(x23371,x23372)+E(f428(x23373,x23374,x23371),f428(x23373,x23374,x23372)) % 219.27/219.55 [2338]~E(x23381,x23382)+E(f684(x23381,x23383,x23384),f684(x23382,x23383,x23384)) % 219.27/219.55 [2339]~E(x23391,x23392)+E(f684(x23393,x23391,x23394),f684(x23393,x23392,x23394)) % 219.27/219.55 [2340]~E(x23401,x23402)+E(f684(x23403,x23404,x23401),f684(x23403,x23404,x23402)) % 219.27/219.55 [2341]~E(x23411,x23412)+E(f528(x23411,x23413,x23414,x23415,x23416,x23417),f528(x23412,x23413,x23414,x23415,x23416,x23417)) % 219.27/219.55 [2342]~E(x23421,x23422)+E(f528(x23423,x23421,x23424,x23425,x23426,x23427),f528(x23423,x23422,x23424,x23425,x23426,x23427)) % 219.27/219.55 [2343]~E(x23431,x23432)+E(f528(x23433,x23434,x23431,x23435,x23436,x23437),f528(x23433,x23434,x23432,x23435,x23436,x23437)) % 219.27/219.55 [2344]~E(x23441,x23442)+E(f528(x23443,x23444,x23445,x23441,x23446,x23447),f528(x23443,x23444,x23445,x23442,x23446,x23447)) % 219.27/219.55 [2345]~E(x23451,x23452)+E(f528(x23453,x23454,x23455,x23456,x23451,x23457),f528(x23453,x23454,x23455,x23456,x23452,x23457)) % 219.27/219.55 [2346]~E(x23461,x23462)+E(f528(x23463,x23464,x23465,x23466,x23467,x23461),f528(x23463,x23464,x23465,x23466,x23467,x23462)) % 219.27/219.55 [2347]~E(x23471,x23472)+E(f330(x23471),f330(x23472)) % 219.27/219.55 [2348]~E(x23481,x23482)+E(f362(x23481,x23483),f362(x23482,x23483)) % 219.27/219.55 [2349]~E(x23491,x23492)+E(f362(x23493,x23491),f362(x23493,x23492)) % 219.27/219.55 [2350]~E(x23501,x23502)+E(f721(x23501,x23503,x23504,x23505,x23506),f721(x23502,x23503,x23504,x23505,x23506)) % 219.27/219.55 [2351]~E(x23511,x23512)+E(f721(x23513,x23511,x23514,x23515,x23516),f721(x23513,x23512,x23514,x23515,x23516)) % 219.27/219.55 [2352]~E(x23521,x23522)+E(f721(x23523,x23524,x23521,x23525,x23526),f721(x23523,x23524,x23522,x23525,x23526)) % 219.27/219.55 [2353]~E(x23531,x23532)+E(f721(x23533,x23534,x23535,x23531,x23536),f721(x23533,x23534,x23535,x23532,x23536)) % 219.27/219.55 [2354]~E(x23541,x23542)+E(f721(x23543,x23544,x23545,x23546,x23541),f721(x23543,x23544,x23545,x23546,x23542)) % 219.27/219.55 [2355]~E(x23551,x23552)+E(f709(x23551,x23553,x23554,x23555,x23556),f709(x23552,x23553,x23554,x23555,x23556)) % 219.27/219.55 [2356]~E(x23561,x23562)+E(f709(x23563,x23561,x23564,x23565,x23566),f709(x23563,x23562,x23564,x23565,x23566)) % 219.27/219.55 [2357]~E(x23571,x23572)+E(f709(x23573,x23574,x23571,x23575,x23576),f709(x23573,x23574,x23572,x23575,x23576)) % 219.27/219.55 [2358]~E(x23581,x23582)+E(f709(x23583,x23584,x23585,x23581,x23586),f709(x23583,x23584,x23585,x23582,x23586)) % 219.27/219.55 [2359]~E(x23591,x23592)+E(f709(x23593,x23594,x23595,x23596,x23591),f709(x23593,x23594,x23595,x23596,x23592)) % 219.27/219.55 [2360]~E(x23601,x23602)+E(f537(x23601,x23603,x23604,x23605,x23606),f537(x23602,x23603,x23604,x23605,x23606)) % 219.27/219.55 [2361]~E(x23611,x23612)+E(f537(x23613,x23611,x23614,x23615,x23616),f537(x23613,x23612,x23614,x23615,x23616)) % 219.27/219.55 [2362]~E(x23621,x23622)+E(f537(x23623,x23624,x23621,x23625,x23626),f537(x23623,x23624,x23622,x23625,x23626)) % 219.27/219.55 [2363]~E(x23631,x23632)+E(f537(x23633,x23634,x23635,x23631,x23636),f537(x23633,x23634,x23635,x23632,x23636)) % 219.27/219.55 [2364]~E(x23641,x23642)+E(f537(x23643,x23644,x23645,x23646,x23641),f537(x23643,x23644,x23645,x23646,x23642)) % 219.27/219.55 [2365]~E(x23651,x23652)+E(f889(x23651,x23653,x23654,x23655),f889(x23652,x23653,x23654,x23655)) % 219.27/219.55 [2366]~E(x23661,x23662)+E(f889(x23663,x23661,x23664,x23665),f889(x23663,x23662,x23664,x23665)) % 219.27/219.55 [2367]~E(x23671,x23672)+E(f889(x23673,x23674,x23671,x23675),f889(x23673,x23674,x23672,x23675)) % 219.27/219.55 [2368]~E(x23681,x23682)+E(f889(x23683,x23684,x23685,x23681),f889(x23683,x23684,x23685,x23682)) % 219.27/219.55 [2369]~E(x23691,x23692)+E(f286(x23691,x23693,x23694),f286(x23692,x23693,x23694)) % 219.27/219.55 [2370]~E(x23701,x23702)+E(f286(x23703,x23701,x23704),f286(x23703,x23702,x23704)) % 219.27/219.55 [2371]~E(x23711,x23712)+E(f286(x23713,x23714,x23711),f286(x23713,x23714,x23712)) % 219.27/219.55 [2372]~E(x23721,x23722)+E(f697(x23721,x23723),f697(x23722,x23723)) % 219.27/219.55 [2373]~E(x23731,x23732)+E(f697(x23733,x23731),f697(x23733,x23732)) % 219.27/219.55 [2374]~E(x23741,x23742)+E(f439(x23741),f439(x23742)) % 219.27/219.55 [2375]~E(x23751,x23752)+E(f702(x23751,x23753,x23754,x23755,x23756),f702(x23752,x23753,x23754,x23755,x23756)) % 219.27/219.55 [2376]~E(x23761,x23762)+E(f702(x23763,x23761,x23764,x23765,x23766),f702(x23763,x23762,x23764,x23765,x23766)) % 219.27/219.55 [2377]~E(x23771,x23772)+E(f702(x23773,x23774,x23771,x23775,x23776),f702(x23773,x23774,x23772,x23775,x23776)) % 219.27/219.55 [2378]~E(x23781,x23782)+E(f702(x23783,x23784,x23785,x23781,x23786),f702(x23783,x23784,x23785,x23782,x23786)) % 219.27/219.55 [2379]~E(x23791,x23792)+E(f702(x23793,x23794,x23795,x23796,x23791),f702(x23793,x23794,x23795,x23796,x23792)) % 219.27/219.55 [2380]~E(x23801,x23802)+E(f374(x23801,x23803),f374(x23802,x23803)) % 219.27/219.55 [2381]~E(x23811,x23812)+E(f374(x23813,x23811),f374(x23813,x23812)) % 219.27/219.55 [2382]~E(x23821,x23822)+E(f556(x23821,x23823,x23824,x23825,x23826),f556(x23822,x23823,x23824,x23825,x23826)) % 219.27/219.55 [2383]~E(x23831,x23832)+E(f556(x23833,x23831,x23834,x23835,x23836),f556(x23833,x23832,x23834,x23835,x23836)) % 219.27/219.55 [2384]~E(x23841,x23842)+E(f556(x23843,x23844,x23841,x23845,x23846),f556(x23843,x23844,x23842,x23845,x23846)) % 219.27/219.55 [2385]~E(x23851,x23852)+E(f556(x23853,x23854,x23855,x23851,x23856),f556(x23853,x23854,x23855,x23852,x23856)) % 219.27/219.55 [2386]~E(x23861,x23862)+E(f556(x23863,x23864,x23865,x23866,x23861),f556(x23863,x23864,x23865,x23866,x23862)) % 219.27/219.55 [2387]~E(x23871,x23872)+E(f393(x23871,x23873,x23874,x23875),f393(x23872,x23873,x23874,x23875)) % 219.27/219.55 [2388]~E(x23881,x23882)+E(f393(x23883,x23881,x23884,x23885),f393(x23883,x23882,x23884,x23885)) % 219.27/219.55 [2389]~E(x23891,x23892)+E(f393(x23893,x23894,x23891,x23895),f393(x23893,x23894,x23892,x23895)) % 219.27/219.55 [2390]~E(x23901,x23902)+E(f393(x23903,x23904,x23905,x23901),f393(x23903,x23904,x23905,x23902)) % 219.27/219.55 [2391]~E(x23911,x23912)+E(f830(x23911,x23913),f830(x23912,x23913)) % 219.27/219.55 [2392]~E(x23921,x23922)+E(f830(x23923,x23921),f830(x23923,x23922)) % 219.27/219.55 [2393]~E(x23931,x23932)+E(f839(x23931,x23933,x23934),f839(x23932,x23933,x23934)) % 219.27/219.55 [2394]~E(x23941,x23942)+E(f839(x23943,x23941,x23944),f839(x23943,x23942,x23944)) % 219.27/219.55 [2395]~E(x23951,x23952)+E(f839(x23953,x23954,x23951),f839(x23953,x23954,x23952)) % 219.27/219.55 [2396]~E(x23961,x23962)+E(f197(x23961,x23963,x23964,x23965),f197(x23962,x23963,x23964,x23965)) % 219.27/219.55 [2397]~E(x23971,x23972)+E(f197(x23973,x23971,x23974,x23975),f197(x23973,x23972,x23974,x23975)) % 219.27/219.55 [2398]~E(x23981,x23982)+E(f197(x23983,x23984,x23981,x23985),f197(x23983,x23984,x23982,x23985)) % 219.27/219.55 [2399]~E(x23991,x23992)+E(f197(x23993,x23994,x23995,x23991),f197(x23993,x23994,x23995,x23992)) % 219.27/219.55 [2400]~E(x24001,x24002)+E(f882(x24001,x24003,x24004),f882(x24002,x24003,x24004)) % 219.27/219.55 [2401]~E(x24011,x24012)+E(f882(x24013,x24011,x24014),f882(x24013,x24012,x24014)) % 219.27/219.55 [2402]~E(x24021,x24022)+E(f882(x24023,x24024,x24021),f882(x24023,x24024,x24022)) % 219.27/219.55 [2403]~E(x24031,x24032)+E(f842(x24031,x24033,x24034,x24035,x24036),f842(x24032,x24033,x24034,x24035,x24036)) % 219.27/219.55 [2404]~E(x24041,x24042)+E(f842(x24043,x24041,x24044,x24045,x24046),f842(x24043,x24042,x24044,x24045,x24046)) % 219.27/219.55 [2405]~E(x24051,x24052)+E(f842(x24053,x24054,x24051,x24055,x24056),f842(x24053,x24054,x24052,x24055,x24056)) % 219.27/219.55 [2406]~E(x24061,x24062)+E(f842(x24063,x24064,x24065,x24061,x24066),f842(x24063,x24064,x24065,x24062,x24066)) % 219.27/219.55 [2407]~E(x24071,x24072)+E(f842(x24073,x24074,x24075,x24076,x24071),f842(x24073,x24074,x24075,x24076,x24072)) % 219.27/219.55 [2408]~E(x24081,x24082)+E(f127(x24081),f127(x24082)) % 219.27/219.55 [2409]~E(x24091,x24092)+E(f484(x24091,x24093),f484(x24092,x24093)) % 219.27/219.55 [2410]~E(x24101,x24102)+E(f484(x24103,x24101),f484(x24103,x24102)) % 219.27/219.55 [2411]~E(x24111,x24112)+E(f409(x24111,x24113,x24114,x24115,x24116),f409(x24112,x24113,x24114,x24115,x24116)) % 219.27/219.55 [2412]~E(x24121,x24122)+E(f409(x24123,x24121,x24124,x24125,x24126),f409(x24123,x24122,x24124,x24125,x24126)) % 219.27/219.55 [2413]~E(x24131,x24132)+E(f409(x24133,x24134,x24131,x24135,x24136),f409(x24133,x24134,x24132,x24135,x24136)) % 219.27/219.55 [2414]~E(x24141,x24142)+E(f409(x24143,x24144,x24145,x24141,x24146),f409(x24143,x24144,x24145,x24142,x24146)) % 219.27/219.55 [2415]~E(x24151,x24152)+E(f409(x24153,x24154,x24155,x24156,x24151),f409(x24153,x24154,x24155,x24156,x24152)) % 219.27/219.55 [2416]~E(x24161,x24162)+E(f416(x24161,x24163),f416(x24162,x24163)) % 219.27/219.55 [2417]~E(x24171,x24172)+E(f416(x24173,x24171),f416(x24173,x24172)) % 219.27/219.55 [2418]~E(x24181,x24182)+E(f921(x24181,x24183,x24184,x24185,x24186),f921(x24182,x24183,x24184,x24185,x24186)) % 219.27/219.55 [2419]~E(x24191,x24192)+E(f921(x24193,x24191,x24194,x24195,x24196),f921(x24193,x24192,x24194,x24195,x24196)) % 219.27/219.55 [2420]~E(x24201,x24202)+E(f921(x24203,x24204,x24201,x24205,x24206),f921(x24203,x24204,x24202,x24205,x24206)) % 219.27/219.55 [2421]~E(x24211,x24212)+E(f921(x24213,x24214,x24215,x24211,x24216),f921(x24213,x24214,x24215,x24212,x24216)) % 219.27/219.55 [2422]~E(x24221,x24222)+E(f921(x24223,x24224,x24225,x24226,x24221),f921(x24223,x24224,x24225,x24226,x24222)) % 219.27/219.55 [2423]~E(x24231,x24232)+E(f743(x24231,x24233,x24234),f743(x24232,x24233,x24234)) % 219.27/219.55 [2424]~E(x24241,x24242)+E(f743(x24243,x24241,x24244),f743(x24243,x24242,x24244)) % 219.27/219.55 [2425]~E(x24251,x24252)+E(f743(x24253,x24254,x24251),f743(x24253,x24254,x24252)) % 219.27/219.55 [2426]~E(x24261,x24262)+E(f736(x24261,x24263,x24264),f736(x24262,x24263,x24264)) % 219.27/219.55 [2427]~E(x24271,x24272)+E(f736(x24273,x24271,x24274),f736(x24273,x24272,x24274)) % 219.27/219.55 [2428]~E(x24281,x24282)+E(f736(x24283,x24284,x24281),f736(x24283,x24284,x24282)) % 219.27/219.55 [2429]~E(x24291,x24292)+E(f739(x24291,x24293,x24294),f739(x24292,x24293,x24294)) % 219.27/219.55 [2430]~E(x24301,x24302)+E(f739(x24303,x24301,x24304),f739(x24303,x24302,x24304)) % 219.27/219.55 [2431]~E(x24311,x24312)+E(f739(x24313,x24314,x24311),f739(x24313,x24314,x24312)) % 219.27/219.55 [2432]~E(x24321,x24322)+E(f555(x24321,x24323,x24324),f555(x24322,x24323,x24324)) % 219.27/219.55 [2433]~E(x24331,x24332)+E(f555(x24333,x24331,x24334),f555(x24333,x24332,x24334)) % 219.27/219.55 [2434]~E(x24341,x24342)+E(f555(x24343,x24344,x24341),f555(x24343,x24344,x24342)) % 219.27/219.55 [2435]~E(x24351,x24352)+E(f489(x24351,x24353),f489(x24352,x24353)) % 219.27/219.55 [2436]~E(x24361,x24362)+E(f489(x24363,x24361),f489(x24363,x24362)) % 219.27/219.55 [2437]~E(x24371,x24372)+E(f238(x24371,x24373,x24374,x24375,x24376,x24377),f238(x24372,x24373,x24374,x24375,x24376,x24377)) % 219.27/219.55 [2438]~E(x24381,x24382)+E(f238(x24383,x24381,x24384,x24385,x24386,x24387),f238(x24383,x24382,x24384,x24385,x24386,x24387)) % 219.27/219.55 [2439]~E(x24391,x24392)+E(f238(x24393,x24394,x24391,x24395,x24396,x24397),f238(x24393,x24394,x24392,x24395,x24396,x24397)) % 219.27/219.55 [2440]~E(x24401,x24402)+E(f238(x24403,x24404,x24405,x24401,x24406,x24407),f238(x24403,x24404,x24405,x24402,x24406,x24407)) % 219.27/219.55 [2441]~E(x24411,x24412)+E(f238(x24413,x24414,x24415,x24416,x24411,x24417),f238(x24413,x24414,x24415,x24416,x24412,x24417)) % 219.27/219.55 [2442]~E(x24421,x24422)+E(f238(x24423,x24424,x24425,x24426,x24427,x24421),f238(x24423,x24424,x24425,x24426,x24427,x24422)) % 219.27/219.55 [2443]~E(x24431,x24432)+E(f762(x24431,x24433,x24434,x24435),f762(x24432,x24433,x24434,x24435)) % 219.27/219.55 [2444]~E(x24441,x24442)+E(f762(x24443,x24441,x24444,x24445),f762(x24443,x24442,x24444,x24445)) % 219.27/219.55 [2445]~E(x24451,x24452)+E(f762(x24453,x24454,x24451,x24455),f762(x24453,x24454,x24452,x24455)) % 219.27/219.55 [2446]~E(x24461,x24462)+E(f762(x24463,x24464,x24465,x24461),f762(x24463,x24464,x24465,x24462)) % 219.27/219.55 [2447]~E(x24471,x24472)+E(f391(x24471,x24473),f391(x24472,x24473)) % 219.27/219.55 [2448]~E(x24481,x24482)+E(f391(x24483,x24481),f391(x24483,x24482)) % 219.27/219.55 [2449]~E(x24491,x24492)+E(f586(x24491,x24493,x24494,x24495,x24496,x24497,x24498,x24499),f586(x24492,x24493,x24494,x24495,x24496,x24497,x24498,x24499)) % 219.27/219.55 [2450]~E(x24501,x24502)+E(f586(x24503,x24501,x24504,x24505,x24506,x24507,x24508,x24509),f586(x24503,x24502,x24504,x24505,x24506,x24507,x24508,x24509)) % 219.27/219.55 [2451]~E(x24511,x24512)+E(f586(x24513,x24514,x24511,x24515,x24516,x24517,x24518,x24519),f586(x24513,x24514,x24512,x24515,x24516,x24517,x24518,x24519)) % 219.27/219.55 [2452]~E(x24521,x24522)+E(f586(x24523,x24524,x24525,x24521,x24526,x24527,x24528,x24529),f586(x24523,x24524,x24525,x24522,x24526,x24527,x24528,x24529)) % 219.27/219.55 [2453]~E(x24531,x24532)+E(f586(x24533,x24534,x24535,x24536,x24531,x24537,x24538,x24539),f586(x24533,x24534,x24535,x24536,x24532,x24537,x24538,x24539)) % 219.27/219.55 [2454]~E(x24541,x24542)+E(f586(x24543,x24544,x24545,x24546,x24547,x24541,x24548,x24549),f586(x24543,x24544,x24545,x24546,x24547,x24542,x24548,x24549)) % 219.27/219.55 [2455]~E(x24551,x24552)+E(f586(x24553,x24554,x24555,x24556,x24557,x24558,x24551,x24559),f586(x24553,x24554,x24555,x24556,x24557,x24558,x24552,x24559)) % 219.27/219.55 [2456]~E(x24561,x24562)+E(f586(x24563,x24564,x24565,x24566,x24567,x24568,x24569,x24561),f586(x24563,x24564,x24565,x24566,x24567,x24568,x24569,x24562)) % 219.27/219.55 [2457]~E(x24571,x24572)+E(f381(x24571,x24573,x24574,x24575),f381(x24572,x24573,x24574,x24575)) % 219.27/219.55 [2458]~E(x24581,x24582)+E(f381(x24583,x24581,x24584,x24585),f381(x24583,x24582,x24584,x24585)) % 219.27/219.55 [2459]~E(x24591,x24592)+E(f381(x24593,x24594,x24591,x24595),f381(x24593,x24594,x24592,x24595)) % 219.27/219.55 [2460]~E(x24601,x24602)+E(f381(x24603,x24604,x24605,x24601),f381(x24603,x24604,x24605,x24602)) % 219.27/219.55 [2461]~E(x24611,x24612)+E(f620(x24611,x24613,x24614),f620(x24612,x24613,x24614)) % 219.27/219.55 [2462]~E(x24621,x24622)+E(f620(x24623,x24621,x24624),f620(x24623,x24622,x24624)) % 219.27/219.55 [2463]~E(x24631,x24632)+E(f620(x24633,x24634,x24631),f620(x24633,x24634,x24632)) % 219.27/219.55 [2464]~E(x24641,x24642)+E(f696(x24641,x24643,x24644),f696(x24642,x24643,x24644)) % 219.27/219.55 [2465]~E(x24651,x24652)+E(f696(x24653,x24651,x24654),f696(x24653,x24652,x24654)) % 219.27/219.55 [2466]~E(x24661,x24662)+E(f696(x24663,x24664,x24661),f696(x24663,x24664,x24662)) % 219.27/219.55 [2467]~E(x24671,x24672)+E(f643(x24671,x24673,x24674,x24675,x24676),f643(x24672,x24673,x24674,x24675,x24676)) % 219.27/219.55 [2468]~E(x24681,x24682)+E(f643(x24683,x24681,x24684,x24685,x24686),f643(x24683,x24682,x24684,x24685,x24686)) % 219.27/219.55 [2469]~E(x24691,x24692)+E(f643(x24693,x24694,x24691,x24695,x24696),f643(x24693,x24694,x24692,x24695,x24696)) % 219.27/219.55 [2470]~E(x24701,x24702)+E(f643(x24703,x24704,x24705,x24701,x24706),f643(x24703,x24704,x24705,x24702,x24706)) % 219.27/219.55 [2471]~E(x24711,x24712)+E(f643(x24713,x24714,x24715,x24716,x24711),f643(x24713,x24714,x24715,x24716,x24712)) % 219.27/219.55 [2472]~E(x24721,x24722)+E(f737(x24721,x24723,x24724),f737(x24722,x24723,x24724)) % 219.27/219.55 [2473]~E(x24731,x24732)+E(f737(x24733,x24731,x24734),f737(x24733,x24732,x24734)) % 219.27/219.55 [2474]~E(x24741,x24742)+E(f737(x24743,x24744,x24741),f737(x24743,x24744,x24742)) % 219.27/219.55 [2475]~E(x24751,x24752)+E(f430(x24751,x24753),f430(x24752,x24753)) % 219.27/219.55 [2476]~E(x24761,x24762)+E(f430(x24763,x24761),f430(x24763,x24762)) % 219.27/219.55 [2477]~E(x24771,x24772)+E(f753(x24771,x24773,x24774,x24775),f753(x24772,x24773,x24774,x24775)) % 219.27/219.55 [2478]~E(x24781,x24782)+E(f753(x24783,x24781,x24784,x24785),f753(x24783,x24782,x24784,x24785)) % 219.27/219.55 [2479]~E(x24791,x24792)+E(f753(x24793,x24794,x24791,x24795),f753(x24793,x24794,x24792,x24795)) % 219.27/219.55 [2480]~E(x24801,x24802)+E(f753(x24803,x24804,x24805,x24801),f753(x24803,x24804,x24805,x24802)) % 219.27/219.55 [2481]~E(x24811,x24812)+E(f870(x24811,x24813,x24814),f870(x24812,x24813,x24814)) % 219.27/219.55 [2482]~E(x24821,x24822)+E(f870(x24823,x24821,x24824),f870(x24823,x24822,x24824)) % 219.27/219.55 [2483]~E(x24831,x24832)+E(f870(x24833,x24834,x24831),f870(x24833,x24834,x24832)) % 219.27/219.55 [2484]~E(x24841,x24842)+E(f670(x24841,x24843,x24844,x24845,x24846),f670(x24842,x24843,x24844,x24845,x24846)) % 219.27/219.55 [2485]~E(x24851,x24852)+E(f670(x24853,x24851,x24854,x24855,x24856),f670(x24853,x24852,x24854,x24855,x24856)) % 219.27/219.55 [2486]~E(x24861,x24862)+E(f670(x24863,x24864,x24861,x24865,x24866),f670(x24863,x24864,x24862,x24865,x24866)) % 219.27/219.55 [2487]~E(x24871,x24872)+E(f670(x24873,x24874,x24875,x24871,x24876),f670(x24873,x24874,x24875,x24872,x24876)) % 219.27/219.55 [2488]~E(x24881,x24882)+E(f670(x24883,x24884,x24885,x24886,x24881),f670(x24883,x24884,x24885,x24886,x24882)) % 219.27/219.55 [2489]~E(x24891,x24892)+E(f700(x24891,x24893,x24894,x24895,x24896),f700(x24892,x24893,x24894,x24895,x24896)) % 219.27/219.55 [2490]~E(x24901,x24902)+E(f700(x24903,x24901,x24904,x24905,x24906),f700(x24903,x24902,x24904,x24905,x24906)) % 219.27/219.55 [2491]~E(x24911,x24912)+E(f700(x24913,x24914,x24911,x24915,x24916),f700(x24913,x24914,x24912,x24915,x24916)) % 219.27/219.55 [2492]~E(x24921,x24922)+E(f700(x24923,x24924,x24925,x24921,x24926),f700(x24923,x24924,x24925,x24922,x24926)) % 219.27/219.55 [2493]~E(x24931,x24932)+E(f700(x24933,x24934,x24935,x24936,x24931),f700(x24933,x24934,x24935,x24936,x24932)) % 219.27/219.55 [2494]~E(x24941,x24942)+E(f585(x24941,x24943,x24944,x24945,x24946),f585(x24942,x24943,x24944,x24945,x24946)) % 219.27/219.55 [2495]~E(x24951,x24952)+E(f585(x24953,x24951,x24954,x24955,x24956),f585(x24953,x24952,x24954,x24955,x24956)) % 219.27/219.55 [2496]~E(x24961,x24962)+E(f585(x24963,x24964,x24961,x24965,x24966),f585(x24963,x24964,x24962,x24965,x24966)) % 219.27/219.55 [2497]~E(x24971,x24972)+E(f585(x24973,x24974,x24975,x24971,x24976),f585(x24973,x24974,x24975,x24972,x24976)) % 219.27/219.55 [2498]~E(x24981,x24982)+E(f585(x24983,x24984,x24985,x24986,x24981),f585(x24983,x24984,x24985,x24986,x24982)) % 219.27/219.55 [2499]~E(x24991,x24992)+E(f571(x24991,x24993,x24994,x24995),f571(x24992,x24993,x24994,x24995)) % 219.27/219.55 [2500]~E(x25001,x25002)+E(f571(x25003,x25001,x25004,x25005),f571(x25003,x25002,x25004,x25005)) % 219.27/219.55 [2501]~E(x25011,x25012)+E(f571(x25013,x25014,x25011,x25015),f571(x25013,x25014,x25012,x25015)) % 219.27/219.55 [2502]~E(x25021,x25022)+E(f571(x25023,x25024,x25025,x25021),f571(x25023,x25024,x25025,x25022)) % 219.27/219.55 [2503]~E(x25031,x25032)+E(f825(x25031,x25033),f825(x25032,x25033)) % 219.27/219.55 [2504]~E(x25041,x25042)+E(f825(x25043,x25041),f825(x25043,x25042)) % 219.27/219.55 [2505]~E(x25051,x25052)+E(f672(x25051,x25053,x25054,x25055,x25056),f672(x25052,x25053,x25054,x25055,x25056)) % 219.27/219.55 [2506]~E(x25061,x25062)+E(f672(x25063,x25061,x25064,x25065,x25066),f672(x25063,x25062,x25064,x25065,x25066)) % 219.27/219.55 [2507]~E(x25071,x25072)+E(f672(x25073,x25074,x25071,x25075,x25076),f672(x25073,x25074,x25072,x25075,x25076)) % 219.27/219.55 [2508]~E(x25081,x25082)+E(f672(x25083,x25084,x25085,x25081,x25086),f672(x25083,x25084,x25085,x25082,x25086)) % 219.27/219.55 [2509]~E(x25091,x25092)+E(f672(x25093,x25094,x25095,x25096,x25091),f672(x25093,x25094,x25095,x25096,x25092)) % 219.27/219.55 [2510]~E(x25101,x25102)+E(f17(x25101,x25103,x25104,x25105),f17(x25102,x25103,x25104,x25105)) % 219.27/219.55 [2511]~E(x25111,x25112)+E(f17(x25113,x25111,x25114,x25115),f17(x25113,x25112,x25114,x25115)) % 219.27/219.55 [2512]~E(x25121,x25122)+E(f17(x25123,x25124,x25121,x25125),f17(x25123,x25124,x25122,x25125)) % 219.27/219.55 [2513]~E(x25131,x25132)+E(f17(x25133,x25134,x25135,x25131),f17(x25133,x25134,x25135,x25132)) % 219.27/219.55 [2514]~E(x25141,x25142)+E(f505(x25141,x25143,x25144,x25145,x25146),f505(x25142,x25143,x25144,x25145,x25146)) % 219.27/219.55 [2515]~E(x25151,x25152)+E(f505(x25153,x25151,x25154,x25155,x25156),f505(x25153,x25152,x25154,x25155,x25156)) % 219.27/219.55 [2516]~E(x25161,x25162)+E(f505(x25163,x25164,x25161,x25165,x25166),f505(x25163,x25164,x25162,x25165,x25166)) % 219.27/219.55 [2517]~E(x25171,x25172)+E(f505(x25173,x25174,x25175,x25171,x25176),f505(x25173,x25174,x25175,x25172,x25176)) % 219.27/219.55 [2518]~E(x25181,x25182)+E(f505(x25183,x25184,x25185,x25186,x25181),f505(x25183,x25184,x25185,x25186,x25182)) % 219.27/219.55 [2519]~E(x25191,x25192)+E(f708(x25191,x25193,x25194,x25195),f708(x25192,x25193,x25194,x25195)) % 219.27/219.55 [2520]~E(x25201,x25202)+E(f708(x25203,x25201,x25204,x25205),f708(x25203,x25202,x25204,x25205)) % 219.27/219.55 [2521]~E(x25211,x25212)+E(f708(x25213,x25214,x25211,x25215),f708(x25213,x25214,x25212,x25215)) % 219.27/219.55 [2522]~E(x25221,x25222)+E(f708(x25223,x25224,x25225,x25221),f708(x25223,x25224,x25225,x25222)) % 219.27/219.55 [2523]~E(x25231,x25232)+E(f572(x25231,x25233,x25234,x25235),f572(x25232,x25233,x25234,x25235)) % 219.27/219.55 [2524]~E(x25241,x25242)+E(f572(x25243,x25241,x25244,x25245),f572(x25243,x25242,x25244,x25245)) % 219.27/219.55 [2525]~E(x25251,x25252)+E(f572(x25253,x25254,x25251,x25255),f572(x25253,x25254,x25252,x25255)) % 219.27/219.55 [2526]~E(x25261,x25262)+E(f572(x25263,x25264,x25265,x25261),f572(x25263,x25264,x25265,x25262)) % 219.27/219.55 [2527]~E(x25271,x25272)+E(f482(x25271,x25273),f482(x25272,x25273)) % 219.27/219.55 [2528]~E(x25281,x25282)+E(f482(x25283,x25281),f482(x25283,x25282)) % 219.27/219.55 [2529]~E(x25291,x25292)+E(f540(x25291,x25293),f540(x25292,x25293)) % 219.27/219.55 [2530]~E(x25301,x25302)+E(f540(x25303,x25301),f540(x25303,x25302)) % 219.27/219.55 [2531]~E(x25311,x25312)+E(f500(x25311,x25313,x25314,x25315,x25316,x25317,x25318,x25319),f500(x25312,x25313,x25314,x25315,x25316,x25317,x25318,x25319)) % 219.27/219.55 [2532]~E(x25321,x25322)+E(f500(x25323,x25321,x25324,x25325,x25326,x25327,x25328,x25329),f500(x25323,x25322,x25324,x25325,x25326,x25327,x25328,x25329)) % 219.27/219.55 [2533]~E(x25331,x25332)+E(f500(x25333,x25334,x25331,x25335,x25336,x25337,x25338,x25339),f500(x25333,x25334,x25332,x25335,x25336,x25337,x25338,x25339)) % 219.27/219.55 [2534]~E(x25341,x25342)+E(f500(x25343,x25344,x25345,x25341,x25346,x25347,x25348,x25349),f500(x25343,x25344,x25345,x25342,x25346,x25347,x25348,x25349)) % 219.27/219.55 [2535]~E(x25351,x25352)+E(f500(x25353,x25354,x25355,x25356,x25351,x25357,x25358,x25359),f500(x25353,x25354,x25355,x25356,x25352,x25357,x25358,x25359)) % 219.27/219.55 [2536]~E(x25361,x25362)+E(f500(x25363,x25364,x25365,x25366,x25367,x25361,x25368,x25369),f500(x25363,x25364,x25365,x25366,x25367,x25362,x25368,x25369)) % 219.27/219.55 [2537]~E(x25371,x25372)+E(f500(x25373,x25374,x25375,x25376,x25377,x25378,x25371,x25379),f500(x25373,x25374,x25375,x25376,x25377,x25378,x25372,x25379)) % 219.27/219.55 [2538]~E(x25381,x25382)+E(f500(x25383,x25384,x25385,x25386,x25387,x25388,x25389,x25381),f500(x25383,x25384,x25385,x25386,x25387,x25388,x25389,x25382)) % 219.27/219.55 [2539]~E(x25391,x25392)+E(f53(x25391,x25393,x25394,x25395),f53(x25392,x25393,x25394,x25395)) % 219.27/219.55 [2540]~E(x25401,x25402)+E(f53(x25403,x25401,x25404,x25405),f53(x25403,x25402,x25404,x25405)) % 219.27/219.55 [2541]~E(x25411,x25412)+E(f53(x25413,x25414,x25411,x25415),f53(x25413,x25414,x25412,x25415)) % 219.27/219.55 [2542]~E(x25421,x25422)+E(f53(x25423,x25424,x25425,x25421),f53(x25423,x25424,x25425,x25422)) % 219.27/219.55 [2543]~E(x25431,x25432)+E(f711(x25431,x25433,x25434),f711(x25432,x25433,x25434)) % 219.27/219.55 [2544]~E(x25441,x25442)+E(f711(x25443,x25441,x25444),f711(x25443,x25442,x25444)) % 219.27/219.55 [2545]~E(x25451,x25452)+E(f711(x25453,x25454,x25451),f711(x25453,x25454,x25452)) % 219.27/219.55 [2546]~E(x25461,x25462)+E(f899(x25461,x25463,x25464,x25465,x25466,x25467,x25468,x25469),f899(x25462,x25463,x25464,x25465,x25466,x25467,x25468,x25469)) % 219.27/219.55 [2547]~E(x25471,x25472)+E(f899(x25473,x25471,x25474,x25475,x25476,x25477,x25478,x25479),f899(x25473,x25472,x25474,x25475,x25476,x25477,x25478,x25479)) % 219.27/219.55 [2548]~E(x25481,x25482)+E(f899(x25483,x25484,x25481,x25485,x25486,x25487,x25488,x25489),f899(x25483,x25484,x25482,x25485,x25486,x25487,x25488,x25489)) % 219.27/219.55 [2549]~E(x25491,x25492)+E(f899(x25493,x25494,x25495,x25491,x25496,x25497,x25498,x25499),f899(x25493,x25494,x25495,x25492,x25496,x25497,x25498,x25499)) % 219.27/219.55 [2550]~E(x25501,x25502)+E(f899(x25503,x25504,x25505,x25506,x25501,x25507,x25508,x25509),f899(x25503,x25504,x25505,x25506,x25502,x25507,x25508,x25509)) % 219.27/219.55 [2551]~E(x25511,x25512)+E(f899(x25513,x25514,x25515,x25516,x25517,x25511,x25518,x25519),f899(x25513,x25514,x25515,x25516,x25517,x25512,x25518,x25519)) % 219.27/219.55 [2552]~E(x25521,x25522)+E(f899(x25523,x25524,x25525,x25526,x25527,x25528,x25521,x25529),f899(x25523,x25524,x25525,x25526,x25527,x25528,x25522,x25529)) % 219.27/219.55 [2553]~E(x25531,x25532)+E(f899(x25533,x25534,x25535,x25536,x25537,x25538,x25539,x25531),f899(x25533,x25534,x25535,x25536,x25537,x25538,x25539,x25532)) % 219.27/219.55 [2554]~E(x25541,x25542)+E(f724(x25541,x25543,x25544),f724(x25542,x25543,x25544)) % 219.27/219.55 [2555]~E(x25551,x25552)+E(f724(x25553,x25551,x25554),f724(x25553,x25552,x25554)) % 219.27/219.55 [2556]~E(x25561,x25562)+E(f724(x25563,x25564,x25561),f724(x25563,x25564,x25562)) % 219.27/219.55 [2557]~E(x25571,x25572)+E(f813(x25571,x25573,x25574,x25575),f813(x25572,x25573,x25574,x25575)) % 219.27/219.55 [2558]~E(x25581,x25582)+E(f813(x25583,x25581,x25584,x25585),f813(x25583,x25582,x25584,x25585)) % 219.27/219.55 [2559]~E(x25591,x25592)+E(f813(x25593,x25594,x25591,x25595),f813(x25593,x25594,x25592,x25595)) % 219.27/219.55 [2560]~E(x25601,x25602)+E(f813(x25603,x25604,x25605,x25601),f813(x25603,x25604,x25605,x25602)) % 219.27/219.55 [2561]~E(x25611,x25612)+E(f905(x25611,x25613,x25614,x25615),f905(x25612,x25613,x25614,x25615)) % 219.27/219.55 [2562]~E(x25621,x25622)+E(f905(x25623,x25621,x25624,x25625),f905(x25623,x25622,x25624,x25625)) % 219.27/219.55 [2563]~E(x25631,x25632)+E(f905(x25633,x25634,x25631,x25635),f905(x25633,x25634,x25632,x25635)) % 219.27/219.55 [2564]~E(x25641,x25642)+E(f905(x25643,x25644,x25645,x25641),f905(x25643,x25644,x25645,x25642)) % 219.27/219.55 [2565]~E(x25651,x25652)+E(f792(x25651,x25653,x25654),f792(x25652,x25653,x25654)) % 219.27/219.55 [2566]~E(x25661,x25662)+E(f792(x25663,x25661,x25664),f792(x25663,x25662,x25664)) % 219.27/219.55 [2567]~E(x25671,x25672)+E(f792(x25673,x25674,x25671),f792(x25673,x25674,x25672)) % 219.27/219.55 [2568]~E(x25681,x25682)+E(f405(x25681,x25683,x25684,x25685),f405(x25682,x25683,x25684,x25685)) % 219.27/219.55 [2569]~E(x25691,x25692)+E(f405(x25693,x25691,x25694,x25695),f405(x25693,x25692,x25694,x25695)) % 219.27/219.55 [2570]~E(x25701,x25702)+E(f405(x25703,x25704,x25701,x25705),f405(x25703,x25704,x25702,x25705)) % 219.27/219.55 [2571]~E(x25711,x25712)+E(f405(x25713,x25714,x25715,x25711),f405(x25713,x25714,x25715,x25712)) % 219.27/219.55 [2572]~E(x25721,x25722)+E(f590(x25721,x25723),f590(x25722,x25723)) % 219.27/219.55 [2573]~E(x25731,x25732)+E(f590(x25733,x25731),f590(x25733,x25732)) % 219.27/219.55 [2574]~E(x25741,x25742)+E(f773(x25741,x25743,x25744),f773(x25742,x25743,x25744)) % 219.27/219.55 [2575]~E(x25751,x25752)+E(f773(x25753,x25751,x25754),f773(x25753,x25752,x25754)) % 219.27/219.55 [2576]~E(x25761,x25762)+E(f773(x25763,x25764,x25761),f773(x25763,x25764,x25762)) % 219.27/219.55 [2577]~E(x25771,x25772)+E(f605(x25771,x25773,x25774,x25775,x25776,x25777),f605(x25772,x25773,x25774,x25775,x25776,x25777)) % 219.27/219.55 [2578]~E(x25781,x25782)+E(f605(x25783,x25781,x25784,x25785,x25786,x25787),f605(x25783,x25782,x25784,x25785,x25786,x25787)) % 219.27/219.55 [2579]~E(x25791,x25792)+E(f605(x25793,x25794,x25791,x25795,x25796,x25797),f605(x25793,x25794,x25792,x25795,x25796,x25797)) % 219.27/219.55 [2580]~E(x25801,x25802)+E(f605(x25803,x25804,x25805,x25801,x25806,x25807),f605(x25803,x25804,x25805,x25802,x25806,x25807)) % 219.27/219.55 [2581]~E(x25811,x25812)+E(f605(x25813,x25814,x25815,x25816,x25811,x25817),f605(x25813,x25814,x25815,x25816,x25812,x25817)) % 219.27/219.55 [2582]~E(x25821,x25822)+E(f605(x25823,x25824,x25825,x25826,x25827,x25821),f605(x25823,x25824,x25825,x25826,x25827,x25822)) % 219.27/219.55 [2583]~E(x25831,x25832)+E(f425(x25831),f425(x25832)) % 219.27/219.55 [2584]~E(x25841,x25842)+E(f513(x25841,x25843,x25844),f513(x25842,x25843,x25844)) % 219.27/219.55 [2585]~E(x25851,x25852)+E(f513(x25853,x25851,x25854),f513(x25853,x25852,x25854)) % 219.27/219.55 [2586]~E(x25861,x25862)+E(f513(x25863,x25864,x25861),f513(x25863,x25864,x25862)) % 219.27/219.55 [2587]~E(x25871,x25872)+E(f818(x25871,x25873,x25874,x25875),f818(x25872,x25873,x25874,x25875)) % 219.27/219.55 [2588]~E(x25881,x25882)+E(f818(x25883,x25881,x25884,x25885),f818(x25883,x25882,x25884,x25885)) % 219.27/219.55 [2589]~E(x25891,x25892)+E(f818(x25893,x25894,x25891,x25895),f818(x25893,x25894,x25892,x25895)) % 219.27/219.55 [2590]~E(x25901,x25902)+E(f818(x25903,x25904,x25905,x25901),f818(x25903,x25904,x25905,x25902)) % 219.27/219.55 [2591]~E(x25911,x25912)+E(f429(x25911,x25913,x25914,x25915,x25916),f429(x25912,x25913,x25914,x25915,x25916)) % 219.27/219.55 [2592]~E(x25921,x25922)+E(f429(x25923,x25921,x25924,x25925,x25926),f429(x25923,x25922,x25924,x25925,x25926)) % 219.27/219.55 [2593]~E(x25931,x25932)+E(f429(x25933,x25934,x25931,x25935,x25936),f429(x25933,x25934,x25932,x25935,x25936)) % 219.27/219.55 [2594]~E(x25941,x25942)+E(f429(x25943,x25944,x25945,x25941,x25946),f429(x25943,x25944,x25945,x25942,x25946)) % 219.27/219.55 [2595]~E(x25951,x25952)+E(f429(x25953,x25954,x25955,x25956,x25951),f429(x25953,x25954,x25955,x25956,x25952)) % 219.27/219.55 [2596]~E(x25961,x25962)+E(f765(x25961,x25963,x25964,x25965,x25966),f765(x25962,x25963,x25964,x25965,x25966)) % 219.27/219.55 [2597]~E(x25971,x25972)+E(f765(x25973,x25971,x25974,x25975,x25976),f765(x25973,x25972,x25974,x25975,x25976)) % 219.27/219.55 [2598]~E(x25981,x25982)+E(f765(x25983,x25984,x25981,x25985,x25986),f765(x25983,x25984,x25982,x25985,x25986)) % 219.27/219.55 [2599]~E(x25991,x25992)+E(f765(x25993,x25994,x25995,x25991,x25996),f765(x25993,x25994,x25995,x25992,x25996)) % 219.27/219.55 [2600]~E(x26001,x26002)+E(f765(x26003,x26004,x26005,x26006,x26001),f765(x26003,x26004,x26005,x26006,x26002)) % 219.27/219.55 [2601]~E(x26011,x26012)+E(f21(x26011,x26013),f21(x26012,x26013)) % 219.27/219.55 [2602]~E(x26021,x26022)+E(f21(x26023,x26021),f21(x26023,x26022)) % 219.27/219.55 [2603]~E(x26031,x26032)+E(f609(x26031,x26033,x26034,x26035,x26036,x26037),f609(x26032,x26033,x26034,x26035,x26036,x26037)) % 219.27/219.55 [2604]~E(x26041,x26042)+E(f609(x26043,x26041,x26044,x26045,x26046,x26047),f609(x26043,x26042,x26044,x26045,x26046,x26047)) % 219.27/219.55 [2605]~E(x26051,x26052)+E(f609(x26053,x26054,x26051,x26055,x26056,x26057),f609(x26053,x26054,x26052,x26055,x26056,x26057)) % 219.27/219.55 [2606]~E(x26061,x26062)+E(f609(x26063,x26064,x26065,x26061,x26066,x26067),f609(x26063,x26064,x26065,x26062,x26066,x26067)) % 219.27/219.55 [2607]~E(x26071,x26072)+E(f609(x26073,x26074,x26075,x26076,x26071,x26077),f609(x26073,x26074,x26075,x26076,x26072,x26077)) % 219.27/219.55 [2608]~E(x26081,x26082)+E(f609(x26083,x26084,x26085,x26086,x26087,x26081),f609(x26083,x26084,x26085,x26086,x26087,x26082)) % 219.27/219.55 [2609]~E(x26091,x26092)+E(f359(x26091,x26093,x26094,x26095),f359(x26092,x26093,x26094,x26095)) % 219.27/219.55 [2610]~E(x26101,x26102)+E(f359(x26103,x26101,x26104,x26105),f359(x26103,x26102,x26104,x26105)) % 219.27/219.55 [2611]~E(x26111,x26112)+E(f359(x26113,x26114,x26111,x26115),f359(x26113,x26114,x26112,x26115)) % 219.27/219.55 [2612]~E(x26121,x26122)+E(f359(x26123,x26124,x26125,x26121),f359(x26123,x26124,x26125,x26122)) % 219.27/219.55 [2613]~E(x26131,x26132)+E(f476(x26131,x26133,x26134),f476(x26132,x26133,x26134)) % 219.27/219.55 [2614]~E(x26141,x26142)+E(f476(x26143,x26141,x26144),f476(x26143,x26142,x26144)) % 219.27/219.55 [2615]~E(x26151,x26152)+E(f476(x26153,x26154,x26151),f476(x26153,x26154,x26152)) % 219.27/219.55 [2616]~E(x26161,x26162)+E(f582(x26161,x26163,x26164,x26165,x26166,x26167),f582(x26162,x26163,x26164,x26165,x26166,x26167)) % 219.27/219.55 [2617]~E(x26171,x26172)+E(f582(x26173,x26171,x26174,x26175,x26176,x26177),f582(x26173,x26172,x26174,x26175,x26176,x26177)) % 219.27/219.55 [2618]~E(x26181,x26182)+E(f582(x26183,x26184,x26181,x26185,x26186,x26187),f582(x26183,x26184,x26182,x26185,x26186,x26187)) % 219.27/219.55 [2619]~E(x26191,x26192)+E(f582(x26193,x26194,x26195,x26191,x26196,x26197),f582(x26193,x26194,x26195,x26192,x26196,x26197)) % 219.27/219.55 [2620]~E(x26201,x26202)+E(f582(x26203,x26204,x26205,x26206,x26201,x26207),f582(x26203,x26204,x26205,x26206,x26202,x26207)) % 219.27/219.55 [2621]~E(x26211,x26212)+E(f582(x26213,x26214,x26215,x26216,x26217,x26211),f582(x26213,x26214,x26215,x26216,x26217,x26212)) % 219.27/219.55 [2622]~E(x26221,x26222)+E(f545(x26221,x26223,x26224,x26225),f545(x26222,x26223,x26224,x26225)) % 219.27/219.55 [2623]~E(x26231,x26232)+E(f545(x26233,x26231,x26234,x26235),f545(x26233,x26232,x26234,x26235)) % 219.27/219.55 [2624]~E(x26241,x26242)+E(f545(x26243,x26244,x26241,x26245),f545(x26243,x26244,x26242,x26245)) % 219.27/219.55 [2625]~E(x26251,x26252)+E(f545(x26253,x26254,x26255,x26251),f545(x26253,x26254,x26255,x26252)) % 219.27/219.55 [2626]~E(x26261,x26262)+E(f675(x26261,x26263,x26264,x26265,x26266),f675(x26262,x26263,x26264,x26265,x26266)) % 219.27/219.55 [2627]~E(x26271,x26272)+E(f675(x26273,x26271,x26274,x26275,x26276),f675(x26273,x26272,x26274,x26275,x26276)) % 219.27/219.55 [2628]~E(x26281,x26282)+E(f675(x26283,x26284,x26281,x26285,x26286),f675(x26283,x26284,x26282,x26285,x26286)) % 219.27/219.55 [2629]~E(x26291,x26292)+E(f675(x26293,x26294,x26295,x26291,x26296),f675(x26293,x26294,x26295,x26292,x26296)) % 219.27/219.55 [2630]~E(x26301,x26302)+E(f675(x26303,x26304,x26305,x26306,x26301),f675(x26303,x26304,x26305,x26306,x26302)) % 219.27/219.55 [2631]~E(x26311,x26312)+E(f558(x26311),f558(x26312)) % 219.27/219.55 [2632]~E(x26321,x26322)+E(f323(x26321,x26323,x26324,x26325),f323(x26322,x26323,x26324,x26325)) % 219.27/219.55 [2633]~E(x26331,x26332)+E(f323(x26333,x26331,x26334,x26335),f323(x26333,x26332,x26334,x26335)) % 219.27/219.55 [2634]~E(x26341,x26342)+E(f323(x26343,x26344,x26341,x26345),f323(x26343,x26344,x26342,x26345)) % 219.27/219.55 [2635]~E(x26351,x26352)+E(f323(x26353,x26354,x26355,x26351),f323(x26353,x26354,x26355,x26352)) % 219.27/219.55 [2636]~E(x26361,x26362)+E(f257(x26361,x26363,x26364),f257(x26362,x26363,x26364)) % 219.27/219.55 [2637]~E(x26371,x26372)+E(f257(x26373,x26371,x26374),f257(x26373,x26372,x26374)) % 219.27/219.55 [2638]~E(x26381,x26382)+E(f257(x26383,x26384,x26381),f257(x26383,x26384,x26382)) % 219.27/219.55 [2639]~E(x26391,x26392)+E(f618(x26391,x26393,x26394,x26395),f618(x26392,x26393,x26394,x26395)) % 219.27/219.55 [2640]~E(x26401,x26402)+E(f618(x26403,x26401,x26404,x26405),f618(x26403,x26402,x26404,x26405)) % 219.27/219.55 [2641]~E(x26411,x26412)+E(f618(x26413,x26414,x26411,x26415),f618(x26413,x26414,x26412,x26415)) % 219.27/219.55 [2642]~E(x26421,x26422)+E(f618(x26423,x26424,x26425,x26421),f618(x26423,x26424,x26425,x26422)) % 219.27/219.55 [2643]~E(x26431,x26432)+E(f271(x26431,x26433,x26434,x26435),f271(x26432,x26433,x26434,x26435)) % 219.27/219.55 [2644]~E(x26441,x26442)+E(f271(x26443,x26441,x26444,x26445),f271(x26443,x26442,x26444,x26445)) % 219.27/219.55 [2645]~E(x26451,x26452)+E(f271(x26453,x26454,x26451,x26455),f271(x26453,x26454,x26452,x26455)) % 219.27/219.55 [2646]~E(x26461,x26462)+E(f271(x26463,x26464,x26465,x26461),f271(x26463,x26464,x26465,x26462)) % 219.27/219.55 [2647]~E(x26471,x26472)+E(f654(x26471,x26473,x26474,x26475,x26476,x26477,x26478),f654(x26472,x26473,x26474,x26475,x26476,x26477,x26478)) % 219.27/219.55 [2648]~E(x26481,x26482)+E(f654(x26483,x26481,x26484,x26485,x26486,x26487,x26488),f654(x26483,x26482,x26484,x26485,x26486,x26487,x26488)) % 219.27/219.55 [2649]~E(x26491,x26492)+E(f654(x26493,x26494,x26491,x26495,x26496,x26497,x26498),f654(x26493,x26494,x26492,x26495,x26496,x26497,x26498)) % 219.27/219.55 [2650]~E(x26501,x26502)+E(f654(x26503,x26504,x26505,x26501,x26506,x26507,x26508),f654(x26503,x26504,x26505,x26502,x26506,x26507,x26508)) % 219.27/219.55 [2651]~E(x26511,x26512)+E(f654(x26513,x26514,x26515,x26516,x26511,x26517,x26518),f654(x26513,x26514,x26515,x26516,x26512,x26517,x26518)) % 219.27/219.55 [2652]~E(x26521,x26522)+E(f654(x26523,x26524,x26525,x26526,x26527,x26521,x26528),f654(x26523,x26524,x26525,x26526,x26527,x26522,x26528)) % 219.27/219.55 [2653]~E(x26531,x26532)+E(f654(x26533,x26534,x26535,x26536,x26537,x26538,x26531),f654(x26533,x26534,x26535,x26536,x26537,x26538,x26532)) % 219.27/219.55 [2654]~E(x26541,x26542)+E(f346(x26541,x26543),f346(x26542,x26543)) % 219.27/219.55 [2655]~E(x26551,x26552)+E(f346(x26553,x26551),f346(x26553,x26552)) % 219.27/219.55 [2656]~E(x26561,x26562)+E(f395(x26561,x26563),f395(x26562,x26563)) % 219.27/219.55 [2657]~E(x26571,x26572)+E(f395(x26573,x26571),f395(x26573,x26572)) % 219.27/219.55 [2658]~E(x26581,x26582)+E(f239(x26581,x26583,x26584),f239(x26582,x26583,x26584)) % 219.27/219.55 [2659]~E(x26591,x26592)+E(f239(x26593,x26591,x26594),f239(x26593,x26592,x26594)) % 219.27/219.55 [2660]~E(x26601,x26602)+E(f239(x26603,x26604,x26601),f239(x26603,x26604,x26602)) % 219.27/219.55 [2661]~E(x26611,x26612)+E(f253(x26611,x26613,x26614,x26615,x26616),f253(x26612,x26613,x26614,x26615,x26616)) % 219.27/219.55 [2662]~E(x26621,x26622)+E(f253(x26623,x26621,x26624,x26625,x26626),f253(x26623,x26622,x26624,x26625,x26626)) % 219.27/219.55 [2663]~E(x26631,x26632)+E(f253(x26633,x26634,x26631,x26635,x26636),f253(x26633,x26634,x26632,x26635,x26636)) % 219.27/219.55 [2664]~E(x26641,x26642)+E(f253(x26643,x26644,x26645,x26641,x26646),f253(x26643,x26644,x26645,x26642,x26646)) % 219.27/219.55 [2665]~E(x26651,x26652)+E(f253(x26653,x26654,x26655,x26656,x26651),f253(x26653,x26654,x26655,x26656,x26652)) % 219.27/219.55 [2666]~E(x26661,x26662)+E(f426(x26661),f426(x26662)) % 219.27/219.55 [2667]~E(x26671,x26672)+E(f217(x26671,x26673,x26674,x26675,x26676),f217(x26672,x26673,x26674,x26675,x26676)) % 219.27/219.55 [2668]~E(x26681,x26682)+E(f217(x26683,x26681,x26684,x26685,x26686),f217(x26683,x26682,x26684,x26685,x26686)) % 219.27/219.55 [2669]~E(x26691,x26692)+E(f217(x26693,x26694,x26691,x26695,x26696),f217(x26693,x26694,x26692,x26695,x26696)) % 219.27/219.55 [2670]~E(x26701,x26702)+E(f217(x26703,x26704,x26705,x26701,x26706),f217(x26703,x26704,x26705,x26702,x26706)) % 219.27/219.55 [2671]~E(x26711,x26712)+E(f217(x26713,x26714,x26715,x26716,x26711),f217(x26713,x26714,x26715,x26716,x26712)) % 219.27/219.55 [2672]~E(x26721,x26722)+E(f706(x26721,x26723,x26724,x26725),f706(x26722,x26723,x26724,x26725)) % 219.27/219.55 [2673]~E(x26731,x26732)+E(f706(x26733,x26731,x26734,x26735),f706(x26733,x26732,x26734,x26735)) % 219.27/219.55 [2674]~E(x26741,x26742)+E(f706(x26743,x26744,x26741,x26745),f706(x26743,x26744,x26742,x26745)) % 219.27/219.55 [2675]~E(x26751,x26752)+E(f706(x26753,x26754,x26755,x26751),f706(x26753,x26754,x26755,x26752)) % 219.27/219.55 [2676]~E(x26761,x26762)+E(f546(x26761,x26763,x26764,x26765,x26766,x26767),f546(x26762,x26763,x26764,x26765,x26766,x26767)) % 219.27/219.55 [2677]~E(x26771,x26772)+E(f546(x26773,x26771,x26774,x26775,x26776,x26777),f546(x26773,x26772,x26774,x26775,x26776,x26777)) % 219.27/219.55 [2678]~E(x26781,x26782)+E(f546(x26783,x26784,x26781,x26785,x26786,x26787),f546(x26783,x26784,x26782,x26785,x26786,x26787)) % 219.27/219.55 [2679]~E(x26791,x26792)+E(f546(x26793,x26794,x26795,x26791,x26796,x26797),f546(x26793,x26794,x26795,x26792,x26796,x26797)) % 219.27/219.55 [2680]~E(x26801,x26802)+E(f546(x26803,x26804,x26805,x26806,x26801,x26807),f546(x26803,x26804,x26805,x26806,x26802,x26807)) % 219.27/219.55 [2681]~E(x26811,x26812)+E(f546(x26813,x26814,x26815,x26816,x26817,x26811),f546(x26813,x26814,x26815,x26816,x26817,x26812)) % 219.27/219.55 [2682]~E(x26821,x26822)+E(f819(x26821,x26823,x26824,x26825,x26826),f819(x26822,x26823,x26824,x26825,x26826)) % 219.27/219.55 [2683]~E(x26831,x26832)+E(f819(x26833,x26831,x26834,x26835,x26836),f819(x26833,x26832,x26834,x26835,x26836)) % 219.27/219.55 [2684]~E(x26841,x26842)+E(f819(x26843,x26844,x26841,x26845,x26846),f819(x26843,x26844,x26842,x26845,x26846)) % 219.27/219.55 [2685]~E(x26851,x26852)+E(f819(x26853,x26854,x26855,x26851,x26856),f819(x26853,x26854,x26855,x26852,x26856)) % 219.27/219.55 [2686]~E(x26861,x26862)+E(f819(x26863,x26864,x26865,x26866,x26861),f819(x26863,x26864,x26865,x26866,x26862)) % 219.27/219.55 [2687]~E(x26871,x26872)+E(f629(x26871,x26873),f629(x26872,x26873)) % 219.27/219.55 [2688]~E(x26881,x26882)+E(f629(x26883,x26881),f629(x26883,x26882)) % 219.27/219.55 [2689]~E(x26891,x26892)+E(f400(x26891,x26893,x26894,x26895),f400(x26892,x26893,x26894,x26895)) % 219.27/219.55 [2690]~E(x26901,x26902)+E(f400(x26903,x26901,x26904,x26905),f400(x26903,x26902,x26904,x26905)) % 219.27/219.55 [2691]~E(x26911,x26912)+E(f400(x26913,x26914,x26911,x26915),f400(x26913,x26914,x26912,x26915)) % 219.27/219.55 [2692]~E(x26921,x26922)+E(f400(x26923,x26924,x26925,x26921),f400(x26923,x26924,x26925,x26922)) % 219.27/219.55 [2693]~E(x26931,x26932)+E(f524(x26931,x26933,x26934),f524(x26932,x26933,x26934)) % 219.27/219.55 [2694]~E(x26941,x26942)+E(f524(x26943,x26941,x26944),f524(x26943,x26942,x26944)) % 219.27/219.55 [2695]~E(x26951,x26952)+E(f524(x26953,x26954,x26951),f524(x26953,x26954,x26952)) % 219.27/219.55 [2696]~E(x26961,x26962)+E(f886(x26961,x26963,x26964,x26965,x26966),f886(x26962,x26963,x26964,x26965,x26966)) % 219.27/219.55 [2697]~E(x26971,x26972)+E(f886(x26973,x26971,x26974,x26975,x26976),f886(x26973,x26972,x26974,x26975,x26976)) % 219.27/219.55 [2698]~E(x26981,x26982)+E(f886(x26983,x26984,x26981,x26985,x26986),f886(x26983,x26984,x26982,x26985,x26986)) % 219.27/219.55 [2699]~E(x26991,x26992)+E(f886(x26993,x26994,x26995,x26991,x26996),f886(x26993,x26994,x26995,x26992,x26996)) % 219.27/219.55 [2700]~E(x27001,x27002)+E(f886(x27003,x27004,x27005,x27006,x27001),f886(x27003,x27004,x27005,x27006,x27002)) % 219.27/219.55 [2701]~E(x27011,x27012)+E(f324(x27011),f324(x27012)) % 219.27/219.55 [2702]~E(x27021,x27022)+E(f383(x27021,x27023,x27024,x27025),f383(x27022,x27023,x27024,x27025)) % 219.27/219.55 [2703]~E(x27031,x27032)+E(f383(x27033,x27031,x27034,x27035),f383(x27033,x27032,x27034,x27035)) % 219.27/219.55 [2704]~E(x27041,x27042)+E(f383(x27043,x27044,x27041,x27045),f383(x27043,x27044,x27042,x27045)) % 219.27/219.55 [2705]~E(x27051,x27052)+E(f383(x27053,x27054,x27055,x27051),f383(x27053,x27054,x27055,x27052)) % 219.27/219.55 [2706]~E(x27061,x27062)+E(f116(x27061),f116(x27062)) % 219.27/219.55 [2707]~E(x27071,x27072)+E(f917(x27071,x27073,x27074,x27075),f917(x27072,x27073,x27074,x27075)) % 219.27/219.55 [2708]~E(x27081,x27082)+E(f917(x27083,x27081,x27084,x27085),f917(x27083,x27082,x27084,x27085)) % 219.27/219.55 [2709]~E(x27091,x27092)+E(f917(x27093,x27094,x27091,x27095),f917(x27093,x27094,x27092,x27095)) % 219.27/219.55 [2710]~E(x27101,x27102)+E(f917(x27103,x27104,x27105,x27101),f917(x27103,x27104,x27105,x27102)) % 219.27/219.55 [2711]~E(x27111,x27112)+E(f228(x27111,x27113),f228(x27112,x27113)) % 219.27/219.55 [2712]~E(x27121,x27122)+E(f228(x27123,x27121),f228(x27123,x27122)) % 219.27/219.55 [2713]~E(x27131,x27132)+E(f36(x27131),f36(x27132)) % 219.27/219.55 [2714]~E(x27141,x27142)+E(f776(x27141,x27143,x27144),f776(x27142,x27143,x27144)) % 219.27/219.55 [2715]~E(x27151,x27152)+E(f776(x27153,x27151,x27154),f776(x27153,x27152,x27154)) % 219.27/219.55 [2716]~E(x27161,x27162)+E(f776(x27163,x27164,x27161),f776(x27163,x27164,x27162)) % 219.27/219.55 [2717]~E(x27171,x27172)+E(f220(x27171,x27173,x27174),f220(x27172,x27173,x27174)) % 219.27/219.55 [2718]~E(x27181,x27182)+E(f220(x27183,x27181,x27184),f220(x27183,x27182,x27184)) % 219.27/219.55 [2719]~E(x27191,x27192)+E(f220(x27193,x27194,x27191),f220(x27193,x27194,x27192)) % 219.27/219.55 [2720]~E(x27201,x27202)+E(f201(x27201,x27203,x27204,x27205),f201(x27202,x27203,x27204,x27205)) % 219.27/219.55 [2721]~E(x27211,x27212)+E(f201(x27213,x27211,x27214,x27215),f201(x27213,x27212,x27214,x27215)) % 219.27/219.55 [2722]~E(x27221,x27222)+E(f201(x27223,x27224,x27221,x27225),f201(x27223,x27224,x27222,x27225)) % 219.27/219.55 [2723]~E(x27231,x27232)+E(f201(x27233,x27234,x27235,x27231),f201(x27233,x27234,x27235,x27232)) % 219.27/219.55 [2724]~E(x27241,x27242)+E(f662(x27241,x27243,x27244,x27245),f662(x27242,x27243,x27244,x27245)) % 219.27/219.55 [2725]~E(x27251,x27252)+E(f662(x27253,x27251,x27254,x27255),f662(x27253,x27252,x27254,x27255)) % 219.27/219.55 [2726]~E(x27261,x27262)+E(f662(x27263,x27264,x27261,x27265),f662(x27263,x27264,x27262,x27265)) % 219.27/219.55 [2727]~E(x27271,x27272)+E(f662(x27273,x27274,x27275,x27271),f662(x27273,x27274,x27275,x27272)) % 219.27/219.55 [2728]~E(x27281,x27282)+E(f285(x27281,x27283),f285(x27282,x27283)) % 219.27/219.55 [2729]~E(x27291,x27292)+E(f285(x27293,x27291),f285(x27293,x27292)) % 219.27/219.55 [2730]~E(x27301,x27302)+E(f801(x27301,x27303,x27304),f801(x27302,x27303,x27304)) % 219.27/219.55 [2731]~E(x27311,x27312)+E(f801(x27313,x27311,x27314),f801(x27313,x27312,x27314)) % 219.27/219.55 [2732]~E(x27321,x27322)+E(f801(x27323,x27324,x27321),f801(x27323,x27324,x27322)) % 219.27/219.55 [2733]~E(x27331,x27332)+E(f462(x27331,x27333,x27334,x27335,x27336),f462(x27332,x27333,x27334,x27335,x27336)) % 219.27/219.55 [2734]~E(x27341,x27342)+E(f462(x27343,x27341,x27344,x27345,x27346),f462(x27343,x27342,x27344,x27345,x27346)) % 219.27/219.55 [2735]~E(x27351,x27352)+E(f462(x27353,x27354,x27351,x27355,x27356),f462(x27353,x27354,x27352,x27355,x27356)) % 219.27/219.55 [2736]~E(x27361,x27362)+E(f462(x27363,x27364,x27365,x27361,x27366),f462(x27363,x27364,x27365,x27362,x27366)) % 219.27/219.55 [2737]~E(x27371,x27372)+E(f462(x27373,x27374,x27375,x27376,x27371),f462(x27373,x27374,x27375,x27376,x27372)) % 219.27/219.55 [2738]~E(x27381,x27382)+E(f530(x27381,x27383,x27384,x27385,x27386),f530(x27382,x27383,x27384,x27385,x27386)) % 219.27/219.55 [2739]~E(x27391,x27392)+E(f530(x27393,x27391,x27394,x27395,x27396),f530(x27393,x27392,x27394,x27395,x27396)) % 219.27/219.55 [2740]~E(x27401,x27402)+E(f530(x27403,x27404,x27401,x27405,x27406),f530(x27403,x27404,x27402,x27405,x27406)) % 219.27/219.55 [2741]~E(x27411,x27412)+E(f530(x27413,x27414,x27415,x27411,x27416),f530(x27413,x27414,x27415,x27412,x27416)) % 219.27/219.55 [2742]~E(x27421,x27422)+E(f530(x27423,x27424,x27425,x27426,x27421),f530(x27423,x27424,x27425,x27426,x27422)) % 219.27/219.55 [2743]~E(x27431,x27432)+E(f195(x27431,x27433,x27434),f195(x27432,x27433,x27434)) % 219.27/219.55 [2744]~E(x27441,x27442)+E(f195(x27443,x27441,x27444),f195(x27443,x27442,x27444)) % 219.27/219.55 [2745]~E(x27451,x27452)+E(f195(x27453,x27454,x27451),f195(x27453,x27454,x27452)) % 219.27/219.55 [2746]~E(x27461,x27462)+E(f589(x27461),f589(x27462)) % 219.27/219.55 [2747]~E(x27471,x27472)+E(f427(x27471),f427(x27472)) % 219.27/219.55 [2748]~E(x27481,x27482)+E(f363(x27481,x27483),f363(x27482,x27483)) % 219.27/219.55 [2749]~E(x27491,x27492)+E(f363(x27493,x27491),f363(x27493,x27492)) % 219.27/219.55 [2750]~E(x27501,x27502)+E(f895(x27501,x27503,x27504),f895(x27502,x27503,x27504)) % 219.27/219.55 [2751]~E(x27511,x27512)+E(f895(x27513,x27511,x27514),f895(x27513,x27512,x27514)) % 219.27/219.55 [2752]~E(x27521,x27522)+E(f895(x27523,x27524,x27521),f895(x27523,x27524,x27522)) % 219.27/219.55 [2753]~E(x27531,x27532)+E(f214(x27531,x27533,x27534),f214(x27532,x27533,x27534)) % 219.27/219.55 [2754]~E(x27541,x27542)+E(f214(x27543,x27541,x27544),f214(x27543,x27542,x27544)) % 219.27/219.55 [2755]~E(x27551,x27552)+E(f214(x27553,x27554,x27551),f214(x27553,x27554,x27552)) % 219.27/219.55 [2756]~E(x27561,x27562)+E(f673(x27561,x27563),f673(x27562,x27563)) % 219.27/219.55 [2757]~E(x27571,x27572)+E(f673(x27573,x27571),f673(x27573,x27572)) % 219.27/219.55 [2758]~E(x27581,x27582)+E(f761(x27581,x27583,x27584,x27585),f761(x27582,x27583,x27584,x27585)) % 219.27/219.55 [2759]~E(x27591,x27592)+E(f761(x27593,x27591,x27594,x27595),f761(x27593,x27592,x27594,x27595)) % 219.27/219.55 [2760]~E(x27601,x27602)+E(f761(x27603,x27604,x27601,x27605),f761(x27603,x27604,x27602,x27605)) % 219.27/219.55 [2761]~E(x27611,x27612)+E(f761(x27613,x27614,x27615,x27611),f761(x27613,x27614,x27615,x27612)) % 219.27/219.55 [2762]~E(x27621,x27622)+E(f199(x27621,x27623,x27624,x27625,x27626,x27627,x27628),f199(x27622,x27623,x27624,x27625,x27626,x27627,x27628)) % 219.27/219.55 [2763]~E(x27631,x27632)+E(f199(x27633,x27631,x27634,x27635,x27636,x27637,x27638),f199(x27633,x27632,x27634,x27635,x27636,x27637,x27638)) % 219.27/219.55 [2764]~E(x27641,x27642)+E(f199(x27643,x27644,x27641,x27645,x27646,x27647,x27648),f199(x27643,x27644,x27642,x27645,x27646,x27647,x27648)) % 219.27/219.55 [2765]~E(x27651,x27652)+E(f199(x27653,x27654,x27655,x27651,x27656,x27657,x27658),f199(x27653,x27654,x27655,x27652,x27656,x27657,x27658)) % 219.27/219.55 [2766]~E(x27661,x27662)+E(f199(x27663,x27664,x27665,x27666,x27661,x27667,x27668),f199(x27663,x27664,x27665,x27666,x27662,x27667,x27668)) % 219.27/219.55 [2767]~E(x27671,x27672)+E(f199(x27673,x27674,x27675,x27676,x27677,x27671,x27678),f199(x27673,x27674,x27675,x27676,x27677,x27672,x27678)) % 219.27/219.55 [2768]~E(x27681,x27682)+E(f199(x27683,x27684,x27685,x27686,x27687,x27688,x27681),f199(x27683,x27684,x27685,x27686,x27687,x27688,x27682)) % 219.27/219.55 [2769]~E(x27691,x27692)+E(f894(x27691,x27693,x27694,x27695),f894(x27692,x27693,x27694,x27695)) % 219.27/219.55 [2770]~E(x27701,x27702)+E(f894(x27703,x27701,x27704,x27705),f894(x27703,x27702,x27704,x27705)) % 219.27/219.55 [2771]~E(x27711,x27712)+E(f894(x27713,x27714,x27711,x27715),f894(x27713,x27714,x27712,x27715)) % 219.27/219.55 [2772]~E(x27721,x27722)+E(f894(x27723,x27724,x27725,x27721),f894(x27723,x27724,x27725,x27722)) % 219.27/219.55 [2773]~E(x27731,x27732)+E(f658(x27731,x27733,x27734),f658(x27732,x27733,x27734)) % 219.27/219.55 [2774]~E(x27741,x27742)+E(f658(x27743,x27741,x27744),f658(x27743,x27742,x27744)) % 219.27/219.55 [2775]~E(x27751,x27752)+E(f658(x27753,x27754,x27751),f658(x27753,x27754,x27752)) % 219.27/219.55 [2776]~E(x27761,x27762)+E(f725(x27761,x27763,x27764),f725(x27762,x27763,x27764)) % 219.27/219.55 [2777]~E(x27771,x27772)+E(f725(x27773,x27771,x27774),f725(x27773,x27772,x27774)) % 219.27/219.55 [2778]~E(x27781,x27782)+E(f725(x27783,x27784,x27781),f725(x27783,x27784,x27782)) % 219.27/219.55 [2779]~E(x27791,x27792)+E(f790(x27791,x27793,x27794,x27795),f790(x27792,x27793,x27794,x27795)) % 219.27/219.55 [2780]~E(x27801,x27802)+E(f790(x27803,x27801,x27804,x27805),f790(x27803,x27802,x27804,x27805)) % 219.27/219.55 [2781]~E(x27811,x27812)+E(f790(x27813,x27814,x27811,x27815),f790(x27813,x27814,x27812,x27815)) % 219.27/219.55 [2782]~E(x27821,x27822)+E(f790(x27823,x27824,x27825,x27821),f790(x27823,x27824,x27825,x27822)) % 219.27/219.55 [2783]~E(x27831,x27832)+E(f647(x27831,x27833,x27834,x27835,x27836),f647(x27832,x27833,x27834,x27835,x27836)) % 219.27/219.55 [2784]~E(x27841,x27842)+E(f647(x27843,x27841,x27844,x27845,x27846),f647(x27843,x27842,x27844,x27845,x27846)) % 219.27/219.55 [2785]~E(x27851,x27852)+E(f647(x27853,x27854,x27851,x27855,x27856),f647(x27853,x27854,x27852,x27855,x27856)) % 219.27/219.55 [2786]~E(x27861,x27862)+E(f647(x27863,x27864,x27865,x27861,x27866),f647(x27863,x27864,x27865,x27862,x27866)) % 219.27/219.55 [2787]~E(x27871,x27872)+E(f647(x27873,x27874,x27875,x27876,x27871),f647(x27873,x27874,x27875,x27876,x27872)) % 219.27/219.55 [2788]~E(x27881,x27882)+E(f766(x27881,x27883,x27884,x27885,x27886),f766(x27882,x27883,x27884,x27885,x27886)) % 219.27/219.55 [2789]~E(x27891,x27892)+E(f766(x27893,x27891,x27894,x27895,x27896),f766(x27893,x27892,x27894,x27895,x27896)) % 219.27/219.55 [2790]~E(x27901,x27902)+E(f766(x27903,x27904,x27901,x27905,x27906),f766(x27903,x27904,x27902,x27905,x27906)) % 219.27/219.55 [2791]~E(x27911,x27912)+E(f766(x27913,x27914,x27915,x27911,x27916),f766(x27913,x27914,x27915,x27912,x27916)) % 219.27/219.55 [2792]~E(x27921,x27922)+E(f766(x27923,x27924,x27925,x27926,x27921),f766(x27923,x27924,x27925,x27926,x27922)) % 219.27/219.55 [2793]~E(x27931,x27932)+E(f221(x27931,x27933,x27934,x27935),f221(x27932,x27933,x27934,x27935)) % 219.27/219.55 [2794]~E(x27941,x27942)+E(f221(x27943,x27941,x27944,x27945),f221(x27943,x27942,x27944,x27945)) % 219.27/219.55 [2795]~E(x27951,x27952)+E(f221(x27953,x27954,x27951,x27955),f221(x27953,x27954,x27952,x27955)) % 219.27/219.55 [2796]~E(x27961,x27962)+E(f221(x27963,x27964,x27965,x27961),f221(x27963,x27964,x27965,x27962)) % 219.27/219.55 [2797]~E(x27971,x27972)+E(f343(x27971,x27973,x27974,x27975,x27976),f343(x27972,x27973,x27974,x27975,x27976)) % 219.27/219.55 [2798]~E(x27981,x27982)+E(f343(x27983,x27981,x27984,x27985,x27986),f343(x27983,x27982,x27984,x27985,x27986)) % 219.27/219.55 [2799]~E(x27991,x27992)+E(f343(x27993,x27994,x27991,x27995,x27996),f343(x27993,x27994,x27992,x27995,x27996)) % 219.27/219.55 [2800]~E(x28001,x28002)+E(f343(x28003,x28004,x28005,x28001,x28006),f343(x28003,x28004,x28005,x28002,x28006)) % 219.27/219.55 [2801]~E(x28011,x28012)+E(f343(x28013,x28014,x28015,x28016,x28011),f343(x28013,x28014,x28015,x28016,x28012)) % 219.27/219.55 [2802]~E(x28021,x28022)+E(f740(x28021,x28023,x28024),f740(x28022,x28023,x28024)) % 219.27/219.55 [2803]~E(x28031,x28032)+E(f740(x28033,x28031,x28034),f740(x28033,x28032,x28034)) % 219.27/219.55 [2804]~E(x28041,x28042)+E(f740(x28043,x28044,x28041),f740(x28043,x28044,x28042)) % 219.27/219.55 [2805]~E(x28051,x28052)+E(f559(x28051,x28053),f559(x28052,x28053)) % 219.27/219.55 [2806]~E(x28061,x28062)+E(f559(x28063,x28061),f559(x28063,x28062)) % 219.27/219.55 [2807]~E(x28071,x28072)+E(f834(x28071,x28073),f834(x28072,x28073)) % 219.27/219.55 [2808]~E(x28081,x28082)+E(f834(x28083,x28081),f834(x28083,x28082)) % 219.27/219.55 [2809]~E(x28091,x28092)+E(f263(x28091,x28093,x28094,x28095),f263(x28092,x28093,x28094,x28095)) % 219.27/219.55 [2810]~E(x28101,x28102)+E(f263(x28103,x28101,x28104,x28105),f263(x28103,x28102,x28104,x28105)) % 219.27/219.55 [2811]~E(x28111,x28112)+E(f263(x28113,x28114,x28111,x28115),f263(x28113,x28114,x28112,x28115)) % 219.27/219.55 [2812]~E(x28121,x28122)+E(f263(x28123,x28124,x28125,x28121),f263(x28123,x28124,x28125,x28122)) % 219.27/219.55 [2813]~E(x28131,x28132)+E(f888(x28131,x28133,x28134,x28135),f888(x28132,x28133,x28134,x28135)) % 219.27/219.55 [2814]~E(x28141,x28142)+E(f888(x28143,x28141,x28144,x28145),f888(x28143,x28142,x28144,x28145)) % 219.27/219.55 [2815]~E(x28151,x28152)+E(f888(x28153,x28154,x28151,x28155),f888(x28153,x28154,x28152,x28155)) % 219.27/219.55 [2816]~E(x28161,x28162)+E(f888(x28163,x28164,x28165,x28161),f888(x28163,x28164,x28165,x28162)) % 219.27/219.55 [2817]~E(x28171,x28172)+E(f203(x28171,x28173,x28174,x28175,x28176,x28177,x28178),f203(x28172,x28173,x28174,x28175,x28176,x28177,x28178)) % 219.27/219.55 [2818]~E(x28181,x28182)+E(f203(x28183,x28181,x28184,x28185,x28186,x28187,x28188),f203(x28183,x28182,x28184,x28185,x28186,x28187,x28188)) % 219.27/219.55 [2819]~E(x28191,x28192)+E(f203(x28193,x28194,x28191,x28195,x28196,x28197,x28198),f203(x28193,x28194,x28192,x28195,x28196,x28197,x28198)) % 219.27/219.55 [2820]~E(x28201,x28202)+E(f203(x28203,x28204,x28205,x28201,x28206,x28207,x28208),f203(x28203,x28204,x28205,x28202,x28206,x28207,x28208)) % 219.27/219.55 [2821]~E(x28211,x28212)+E(f203(x28213,x28214,x28215,x28216,x28211,x28217,x28218),f203(x28213,x28214,x28215,x28216,x28212,x28217,x28218)) % 219.27/219.55 [2822]~E(x28221,x28222)+E(f203(x28223,x28224,x28225,x28226,x28227,x28221,x28228),f203(x28223,x28224,x28225,x28226,x28227,x28222,x28228)) % 219.27/219.55 [2823]~E(x28231,x28232)+E(f203(x28233,x28234,x28235,x28236,x28237,x28238,x28231),f203(x28233,x28234,x28235,x28236,x28237,x28238,x28232)) % 219.27/219.55 [2824]~E(x28241,x28242)+E(f408(x28241,x28243,x28244,x28245,x28246),f408(x28242,x28243,x28244,x28245,x28246)) % 219.27/219.55 [2825]~E(x28251,x28252)+E(f408(x28253,x28251,x28254,x28255,x28256),f408(x28253,x28252,x28254,x28255,x28256)) % 219.27/219.55 [2826]~E(x28261,x28262)+E(f408(x28263,x28264,x28261,x28265,x28266),f408(x28263,x28264,x28262,x28265,x28266)) % 219.27/219.55 [2827]~E(x28271,x28272)+E(f408(x28273,x28274,x28275,x28271,x28276),f408(x28273,x28274,x28275,x28272,x28276)) % 219.27/219.55 [2828]~E(x28281,x28282)+E(f408(x28283,x28284,x28285,x28286,x28281),f408(x28283,x28284,x28285,x28286,x28282)) % 219.27/219.55 [2829]~E(x28291,x28292)+E(f735(x28291,x28293,x28294),f735(x28292,x28293,x28294)) % 219.27/219.55 [2830]~E(x28301,x28302)+E(f735(x28303,x28301,x28304),f735(x28303,x28302,x28304)) % 219.27/219.55 [2831]~E(x28311,x28312)+E(f735(x28313,x28314,x28311),f735(x28313,x28314,x28312)) % 219.27/219.55 [2832]~E(x28321,x28322)+E(f734(x28321,x28323,x28324),f734(x28322,x28323,x28324)) % 219.27/219.55 [2833]~E(x28331,x28332)+E(f734(x28333,x28331,x28334),f734(x28333,x28332,x28334)) % 219.27/219.55 [2834]~E(x28341,x28342)+E(f734(x28343,x28344,x28341),f734(x28343,x28344,x28342)) % 219.27/219.55 [2835]~E(x28351,x28352)+E(f896(x28351,x28353,x28354,x28355),f896(x28352,x28353,x28354,x28355)) % 219.27/219.55 [2836]~E(x28361,x28362)+E(f896(x28363,x28361,x28364,x28365),f896(x28363,x28362,x28364,x28365)) % 219.27/219.55 [2837]~E(x28371,x28372)+E(f896(x28373,x28374,x28371,x28375),f896(x28373,x28374,x28372,x28375)) % 219.27/219.55 [2838]~E(x28381,x28382)+E(f896(x28383,x28384,x28385,x28381),f896(x28383,x28384,x28385,x28382)) % 219.27/219.55 [2839]~E(x28391,x28392)+E(f824(x28391,x28393,x28394,x28395,x28396),f824(x28392,x28393,x28394,x28395,x28396)) % 219.27/219.55 [2840]~E(x28401,x28402)+E(f824(x28403,x28401,x28404,x28405,x28406),f824(x28403,x28402,x28404,x28405,x28406)) % 219.27/219.55 [2841]~E(x28411,x28412)+E(f824(x28413,x28414,x28411,x28415,x28416),f824(x28413,x28414,x28412,x28415,x28416)) % 219.27/219.55 [2842]~E(x28421,x28422)+E(f824(x28423,x28424,x28425,x28421,x28426),f824(x28423,x28424,x28425,x28422,x28426)) % 219.27/219.55 [2843]~E(x28431,x28432)+E(f824(x28433,x28434,x28435,x28436,x28431),f824(x28433,x28434,x28435,x28436,x28432)) % 219.27/219.55 [2844]~E(x28441,x28442)+E(f371(x28441),f371(x28442)) % 219.27/219.55 [2845]~E(x28451,x28452)+E(f758(x28451,x28453),f758(x28452,x28453)) % 219.27/219.55 [2846]~E(x28461,x28462)+E(f758(x28463,x28461),f758(x28463,x28462)) % 219.27/219.55 [2847]~E(x28471,x28472)+E(f914(x28471,x28473,x28474),f914(x28472,x28473,x28474)) % 219.27/219.55 [2848]~E(x28481,x28482)+E(f914(x28483,x28481,x28484),f914(x28483,x28482,x28484)) % 219.27/219.55 [2849]~E(x28491,x28492)+E(f914(x28493,x28494,x28491),f914(x28493,x28494,x28492)) % 219.27/219.55 [2850]~E(x28501,x28502)+E(f632(x28501,x28503,x28504),f632(x28502,x28503,x28504)) % 219.27/219.55 [2851]~E(x28511,x28512)+E(f632(x28513,x28511,x28514),f632(x28513,x28512,x28514)) % 219.27/219.55 [2852]~E(x28521,x28522)+E(f632(x28523,x28524,x28521),f632(x28523,x28524,x28522)) % 219.27/219.55 [2853]~E(x28531,x28532)+E(f564(x28531,x28533),f564(x28532,x28533)) % 219.27/219.55 [2854]~E(x28541,x28542)+E(f564(x28543,x28541),f564(x28543,x28542)) % 219.27/219.55 [2855]~E(x28551,x28552)+E(f900(x28551,x28553,x28554,x28555,x28556),f900(x28552,x28553,x28554,x28555,x28556)) % 219.27/219.55 [2856]~E(x28561,x28562)+E(f900(x28563,x28561,x28564,x28565,x28566),f900(x28563,x28562,x28564,x28565,x28566)) % 219.27/219.55 [2857]~E(x28571,x28572)+E(f900(x28573,x28574,x28571,x28575,x28576),f900(x28573,x28574,x28572,x28575,x28576)) % 219.27/219.55 [2858]~E(x28581,x28582)+E(f900(x28583,x28584,x28585,x28581,x28586),f900(x28583,x28584,x28585,x28582,x28586)) % 219.27/219.55 [2859]~E(x28591,x28592)+E(f900(x28593,x28594,x28595,x28596,x28591),f900(x28593,x28594,x28595,x28596,x28592)) % 219.27/219.55 [2860]~E(x28601,x28602)+E(f483(x28601,x28603),f483(x28602,x28603)) % 219.27/219.55 [2861]~E(x28611,x28612)+E(f483(x28613,x28611),f483(x28613,x28612)) % 219.27/219.55 [2862]~E(x28621,x28622)+E(f840(x28621,x28623,x28624),f840(x28622,x28623,x28624)) % 219.27/219.55 [2863]~E(x28631,x28632)+E(f840(x28633,x28631,x28634),f840(x28633,x28632,x28634)) % 219.27/219.55 [2864]~E(x28641,x28642)+E(f840(x28643,x28644,x28641),f840(x28643,x28644,x28642)) % 219.27/219.55 [2865]~E(x28651,x28652)+E(f419(x28651,x28653),f419(x28652,x28653)) % 219.27/219.55 [2866]~E(x28661,x28662)+E(f419(x28663,x28661),f419(x28663,x28662)) % 219.27/219.55 [2867]~E(x28671,x28672)+E(f329(x28671),f329(x28672)) % 219.27/219.55 [2868]~E(x28681,x28682)+E(f252(x28681,x28683,x28684,x28685,x28686),f252(x28682,x28683,x28684,x28685,x28686)) % 219.27/219.55 [2869]~E(x28691,x28692)+E(f252(x28693,x28691,x28694,x28695,x28696),f252(x28693,x28692,x28694,x28695,x28696)) % 219.27/219.55 [2870]~E(x28701,x28702)+E(f252(x28703,x28704,x28701,x28705,x28706),f252(x28703,x28704,x28702,x28705,x28706)) % 219.27/219.55 [2871]~E(x28711,x28712)+E(f252(x28713,x28714,x28715,x28711,x28716),f252(x28713,x28714,x28715,x28712,x28716)) % 219.27/219.55 [2872]~E(x28721,x28722)+E(f252(x28723,x28724,x28725,x28726,x28721),f252(x28723,x28724,x28725,x28726,x28722)) % 219.27/219.55 [2873]~E(x28731,x28732)+E(f902(x28731,x28733),f902(x28732,x28733)) % 219.27/219.55 [2874]~E(x28741,x28742)+E(f902(x28743,x28741),f902(x28743,x28742)) % 219.27/219.55 [2875]~E(x28751,x28752)+E(f628(x28751,x28753),f628(x28752,x28753)) % 219.27/219.55 [2876]~E(x28761,x28762)+E(f628(x28763,x28761),f628(x28763,x28762)) % 219.27/219.55 [2877]~E(x28771,x28772)+E(f529(x28771,x28773,x28774),f529(x28772,x28773,x28774)) % 219.27/219.55 [2878]~E(x28781,x28782)+E(f529(x28783,x28781,x28784),f529(x28783,x28782,x28784)) % 219.27/219.55 [2879]~E(x28791,x28792)+E(f529(x28793,x28794,x28791),f529(x28793,x28794,x28792)) % 219.27/219.55 [2880]~E(x28801,x28802)+E(f534(x28801,x28803,x28804),f534(x28802,x28803,x28804)) % 219.27/219.55 [2881]~E(x28811,x28812)+E(f534(x28813,x28811,x28814),f534(x28813,x28812,x28814)) % 219.27/219.55 [2882]~E(x28821,x28822)+E(f534(x28823,x28824,x28821),f534(x28823,x28824,x28822)) % 219.27/219.55 [2883]~E(x28831,x28832)+E(f365(x28831,x28833),f365(x28832,x28833)) % 219.27/219.55 [2884]~E(x28841,x28842)+E(f365(x28843,x28841),f365(x28843,x28842)) % 219.27/219.55 [2885]~E(x28851,x28852)+E(f468(x28851,x28853,x28854,x28855,x28856,x28857),f468(x28852,x28853,x28854,x28855,x28856,x28857)) % 219.27/219.55 [2886]~E(x28861,x28862)+E(f468(x28863,x28861,x28864,x28865,x28866,x28867),f468(x28863,x28862,x28864,x28865,x28866,x28867)) % 219.27/219.55 [2887]~E(x28871,x28872)+E(f468(x28873,x28874,x28871,x28875,x28876,x28877),f468(x28873,x28874,x28872,x28875,x28876,x28877)) % 219.27/219.55 [2888]~E(x28881,x28882)+E(f468(x28883,x28884,x28885,x28881,x28886,x28887),f468(x28883,x28884,x28885,x28882,x28886,x28887)) % 219.27/219.55 [2889]~E(x28891,x28892)+E(f468(x28893,x28894,x28895,x28896,x28891,x28897),f468(x28893,x28894,x28895,x28896,x28892,x28897)) % 219.27/219.55 [2890]~E(x28901,x28902)+E(f468(x28903,x28904,x28905,x28906,x28907,x28901),f468(x28903,x28904,x28905,x28906,x28907,x28902)) % 219.27/219.55 [2891]~E(x28911,x28912)+E(f856(x28911,x28913,x28914),f856(x28912,x28913,x28914)) % 219.27/219.55 [2892]~E(x28921,x28922)+E(f856(x28923,x28921,x28924),f856(x28923,x28922,x28924)) % 219.27/219.55 [2893]~E(x28931,x28932)+E(f856(x28933,x28934,x28931),f856(x28933,x28934,x28932)) % 219.27/219.55 [2894]~E(x28941,x28942)+E(f872(x28941,x28943,x28944),f872(x28942,x28943,x28944)) % 219.27/219.55 [2895]~E(x28951,x28952)+E(f872(x28953,x28951,x28954),f872(x28953,x28952,x28954)) % 219.27/219.55 [2896]~E(x28961,x28962)+E(f872(x28963,x28964,x28961),f872(x28963,x28964,x28962)) % 219.27/219.55 [2897]~P1(x28971)+P1(x28972)+~E(x28971,x28972) % 219.27/219.55 [2898]~P2(x28981)+P2(x28982)+~E(x28981,x28982) % 219.27/219.55 [2899]~P4(x28991)+P4(x28992)+~E(x28991,x28992) % 219.27/219.55 [2900]~P90(x29001)+P90(x29002)+~E(x29001,x29002) % 219.27/219.55 [2901]~P74(x29011)+P74(x29012)+~E(x29011,x29012) % 219.27/219.55 [2902]~P3(x29021)+P3(x29022)+~E(x29021,x29022) % 219.27/219.55 [2903]~P6(x29031)+P6(x29032)+~E(x29031,x29032) % 219.27/219.55 [2904]P152(x29042,x29043,x29044)+~E(x29041,x29042)+~P152(x29041,x29043,x29044) % 219.27/219.55 [2905]P152(x29053,x29052,x29054)+~E(x29051,x29052)+~P152(x29053,x29051,x29054) % 219.27/219.55 [2906]P152(x29063,x29064,x29062)+~E(x29061,x29062)+~P152(x29063,x29064,x29061) % 219.27/219.55 [2907]P151(x29072,x29073,x29074)+~E(x29071,x29072)+~P151(x29071,x29073,x29074) % 219.27/219.55 [2908]P151(x29083,x29082,x29084)+~E(x29081,x29082)+~P151(x29083,x29081,x29084) % 219.27/219.55 [2909]P151(x29093,x29094,x29092)+~E(x29091,x29092)+~P151(x29093,x29094,x29091) % 219.27/219.55 [2910]~P78(x29101)+P78(x29102)+~E(x29101,x29102) % 219.27/219.55 [2911]~P121(x29111)+P121(x29112)+~E(x29111,x29112) % 219.27/219.55 [2912]~P72(x29121)+P72(x29122)+~E(x29121,x29122) % 219.27/219.55 [2913]~P113(x29131)+P113(x29132)+~E(x29131,x29132) % 219.27/219.55 [2914]~P79(x29141)+P79(x29142)+~E(x29141,x29142) % 219.27/219.55 [2915]~P84(x29151)+P84(x29152)+~E(x29151,x29152) % 219.27/219.55 [2916]~P73(x29161)+P73(x29162)+~E(x29161,x29162) % 219.27/219.55 [2917]~P5(x29171)+P5(x29172)+~E(x29171,x29172) % 219.27/219.55 [2918]~P77(x29181)+P77(x29182)+~E(x29181,x29182) % 219.27/219.55 [2919]~P114(x29191)+P114(x29192)+~E(x29191,x29192) % 219.27/219.55 [2920]P14(x29202,x29203)+~E(x29201,x29202)+~P14(x29201,x29203) % 219.27/219.55 [2921]P14(x29213,x29212)+~E(x29211,x29212)+~P14(x29213,x29211) % 219.27/219.55 [2922]~P67(x29221)+P67(x29222)+~E(x29221,x29222) % 219.27/219.55 [2923]~P98(x29231)+P98(x29232)+~E(x29231,x29232) % 219.27/219.55 [2924]~P96(x29241)+P96(x29242)+~E(x29241,x29242) % 219.27/219.55 [2925]~P68(x29251)+P68(x29252)+~E(x29251,x29252) % 219.27/219.55 [2926]~P69(x29261)+P69(x29262)+~E(x29261,x29262) % 219.27/219.55 [2927]~P102(x29271)+P102(x29272)+~E(x29271,x29272) % 219.27/219.55 [2928]~P126(x29281)+P126(x29282)+~E(x29281,x29282) % 219.27/219.55 [2929]P20(x29292,x29293,x29294,x29295)+~E(x29291,x29292)+~P20(x29291,x29293,x29294,x29295) % 219.27/219.55 [2930]P20(x29303,x29302,x29304,x29305)+~E(x29301,x29302)+~P20(x29303,x29301,x29304,x29305) % 219.27/219.55 [2931]P20(x29313,x29314,x29312,x29315)+~E(x29311,x29312)+~P20(x29313,x29314,x29311,x29315) % 219.27/219.55 [2932]P20(x29323,x29324,x29325,x29322)+~E(x29321,x29322)+~P20(x29323,x29324,x29325,x29321) % 219.27/219.55 [2933]~P107(x29331)+P107(x29332)+~E(x29331,x29332) % 219.27/219.55 [2934]P57(x29342,x29343,x29344)+~E(x29341,x29342)+~P57(x29341,x29343,x29344) % 219.27/219.55 [2935]P57(x29353,x29352,x29354)+~E(x29351,x29352)+~P57(x29353,x29351,x29354) % 219.27/219.55 [2936]P57(x29363,x29364,x29362)+~E(x29361,x29362)+~P57(x29363,x29364,x29361) % 219.27/219.55 [2937]P26(x29372,x29373,x29374,x29375)+~E(x29371,x29372)+~P26(x29371,x29373,x29374,x29375) % 219.27/219.55 [2938]P26(x29383,x29382,x29384,x29385)+~E(x29381,x29382)+~P26(x29383,x29381,x29384,x29385) % 219.27/219.55 [2939]P26(x29393,x29394,x29392,x29395)+~E(x29391,x29392)+~P26(x29393,x29394,x29391,x29395) % 219.27/219.55 [2940]P26(x29403,x29404,x29405,x29402)+~E(x29401,x29402)+~P26(x29403,x29404,x29405,x29401) % 219.27/219.55 [2941]~P108(x29411)+P108(x29412)+~E(x29411,x29412) % 219.27/219.55 [2942]P17(x29422,x29423,x29424)+~E(x29421,x29422)+~P17(x29421,x29423,x29424) % 219.27/219.55 [2943]P17(x29433,x29432,x29434)+~E(x29431,x29432)+~P17(x29433,x29431,x29434) % 219.27/219.55 [2944]P17(x29443,x29444,x29442)+~E(x29441,x29442)+~P17(x29443,x29444,x29441) % 219.27/219.55 [2945]P22(x29452,x29453,x29454,x29455,x29456)+~E(x29451,x29452)+~P22(x29451,x29453,x29454,x29455,x29456) % 219.27/219.55 [2946]P22(x29463,x29462,x29464,x29465,x29466)+~E(x29461,x29462)+~P22(x29463,x29461,x29464,x29465,x29466) % 219.27/219.55 [2947]P22(x29473,x29474,x29472,x29475,x29476)+~E(x29471,x29472)+~P22(x29473,x29474,x29471,x29475,x29476) % 219.27/219.55 [2948]P22(x29483,x29484,x29485,x29482,x29486)+~E(x29481,x29482)+~P22(x29483,x29484,x29485,x29481,x29486) % 219.27/219.55 [2949]P22(x29493,x29494,x29495,x29496,x29492)+~E(x29491,x29492)+~P22(x29493,x29494,x29495,x29496,x29491) % 219.27/219.55 [2950]~P103(x29501)+P103(x29502)+~E(x29501,x29502) % 219.27/219.55 [2951]~P115(x29511)+P115(x29512)+~E(x29511,x29512) % 219.27/219.55 [2952]~P106(x29521)+P106(x29522)+~E(x29521,x29522) % 219.27/219.55 [2953]P51(x29532,x29533,x29534)+~E(x29531,x29532)+~P51(x29531,x29533,x29534) % 219.27/219.55 [2954]P51(x29543,x29542,x29544)+~E(x29541,x29542)+~P51(x29543,x29541,x29544) % 219.27/219.55 [2955]P51(x29553,x29554,x29552)+~E(x29551,x29552)+~P51(x29553,x29554,x29551) % 219.27/219.55 [2956]~P131(x29561)+P131(x29562)+~E(x29561,x29562) % 219.27/219.55 [2957]~P109(x29571)+P109(x29572)+~E(x29571,x29572) % 219.27/219.55 [2958]P32(x29582,x29583,x29584)+~E(x29581,x29582)+~P32(x29581,x29583,x29584) % 219.27/219.55 [2959]P32(x29593,x29592,x29594)+~E(x29591,x29592)+~P32(x29593,x29591,x29594) % 219.27/219.55 [2960]P32(x29603,x29604,x29602)+~E(x29601,x29602)+~P32(x29603,x29604,x29601) % 219.27/219.55 [2961]~P104(x29611)+P104(x29612)+~E(x29611,x29612) % 219.27/219.55 [2962]~P70(x29621)+P70(x29622)+~E(x29621,x29622) % 219.27/219.55 [2963]~P83(x29631)+P83(x29632)+~E(x29631,x29632) % 219.27/219.55 [2964]~P99(x29641)+P99(x29642)+~E(x29641,x29642) % 219.27/219.55 [2965]~P149(x29651)+P149(x29652)+~E(x29651,x29652) % 219.27/219.55 [2966]~P88(x29661)+P88(x29662)+~E(x29661,x29662) % 219.27/219.55 [2967]~P76(x29671)+P76(x29672)+~E(x29671,x29672) % 219.27/219.55 [2968]~P100(x29681)+P100(x29682)+~E(x29681,x29682) % 219.27/219.55 [2969]~P132(x29691)+P132(x29692)+~E(x29691,x29692) % 219.27/219.55 [2970]~P116(x29701)+P116(x29702)+~E(x29701,x29702) % 219.27/219.55 [2971]~P117(x29711)+P117(x29712)+~E(x29711,x29712) % 219.27/219.55 [2972]~P71(x29721)+P71(x29722)+~E(x29721,x29722) % 219.27/219.55 [2973]~P129(x29731)+P129(x29732)+~E(x29731,x29732) % 219.27/219.55 [2974]P27(x29742,x29743,x29744,x29745,x29746)+~E(x29741,x29742)+~P27(x29741,x29743,x29744,x29745,x29746) % 219.27/219.55 [2975]P27(x29753,x29752,x29754,x29755,x29756)+~E(x29751,x29752)+~P27(x29753,x29751,x29754,x29755,x29756) % 219.27/219.55 [2976]P27(x29763,x29764,x29762,x29765,x29766)+~E(x29761,x29762)+~P27(x29763,x29764,x29761,x29765,x29766) % 219.27/219.55 [2977]P27(x29773,x29774,x29775,x29772,x29776)+~E(x29771,x29772)+~P27(x29773,x29774,x29775,x29771,x29776) % 219.27/219.55 [2978]P27(x29783,x29784,x29785,x29786,x29782)+~E(x29781,x29782)+~P27(x29783,x29784,x29785,x29786,x29781) % 219.27/219.55 [2979]P54(x29792,x29793)+~E(x29791,x29792)+~P54(x29791,x29793) % 219.27/219.55 [2980]P54(x29803,x29802)+~E(x29801,x29802)+~P54(x29803,x29801) % 219.27/219.55 [2981]P56(x29812,x29813)+~E(x29811,x29812)+~P56(x29811,x29813) % 219.27/219.55 [2982]P56(x29823,x29822)+~E(x29821,x29822)+~P56(x29823,x29821) % 219.27/219.55 [2983]P39(x29832,x29833)+~E(x29831,x29832)+~P39(x29831,x29833) % 219.27/219.55 [2984]P39(x29843,x29842)+~E(x29841,x29842)+~P39(x29843,x29841) % 219.27/219.55 [2985]~P86(x29851)+P86(x29852)+~E(x29851,x29852) % 219.27/219.55 [2986]~P93(x29861)+P93(x29862)+~E(x29861,x29862) % 219.27/219.55 [2987]P9(x29872,x29873,x29874)+~E(x29871,x29872)+~P9(x29871,x29873,x29874) % 219.27/219.55 [2988]P9(x29883,x29882,x29884)+~E(x29881,x29882)+~P9(x29883,x29881,x29884) % 219.27/219.55 [2989]P9(x29893,x29894,x29892)+~E(x29891,x29892)+~P9(x29893,x29894,x29891) % 219.27/219.55 [2990]~P65(x29901)+P65(x29902)+~E(x29901,x29902) % 219.27/219.55 [2991]P34(x29912,x29913,x29914)+~E(x29911,x29912)+~P34(x29911,x29913,x29914) % 219.27/219.55 [2992]P34(x29923,x29922,x29924)+~E(x29921,x29922)+~P34(x29923,x29921,x29924) % 219.27/219.55 [2993]P34(x29933,x29934,x29932)+~E(x29931,x29932)+~P34(x29933,x29934,x29931) % 219.27/219.55 [2994]~P75(x29941)+P75(x29942)+~E(x29941,x29942) % 219.27/219.55 [2995]~P87(x29951)+P87(x29952)+~E(x29951,x29952) % 219.27/219.55 [2996]P12(x29962,x29963,x29964,x29965)+~E(x29961,x29962)+~P12(x29961,x29963,x29964,x29965) % 219.27/219.55 [2997]P12(x29973,x29972,x29974,x29975)+~E(x29971,x29972)+~P12(x29973,x29971,x29974,x29975) % 219.27/219.55 [2998]P12(x29983,x29984,x29982,x29985)+~E(x29981,x29982)+~P12(x29983,x29984,x29981,x29985) % 219.27/219.55 [2999]P12(x29993,x29994,x29995,x29992)+~E(x29991,x29992)+~P12(x29993,x29994,x29995,x29991) % 219.27/219.55 [3000]P53(x30002,x30003,x30004,x30005,x30006,x30007)+~E(x30001,x30002)+~P53(x30001,x30003,x30004,x30005,x30006,x30007) % 219.27/219.55 [3001]P53(x30013,x30012,x30014,x30015,x30016,x30017)+~E(x30011,x30012)+~P53(x30013,x30011,x30014,x30015,x30016,x30017) % 219.27/219.55 [3002]P53(x30023,x30024,x30022,x30025,x30026,x30027)+~E(x30021,x30022)+~P53(x30023,x30024,x30021,x30025,x30026,x30027) % 219.27/219.55 [3003]P53(x30033,x30034,x30035,x30032,x30036,x30037)+~E(x30031,x30032)+~P53(x30033,x30034,x30035,x30031,x30036,x30037) % 219.27/219.55 [3004]P53(x30043,x30044,x30045,x30046,x30042,x30047)+~E(x30041,x30042)+~P53(x30043,x30044,x30045,x30046,x30041,x30047) % 219.27/219.55 [3005]P53(x30053,x30054,x30055,x30056,x30057,x30052)+~E(x30051,x30052)+~P53(x30053,x30054,x30055,x30056,x30057,x30051) % 219.27/219.55 [3006]~P143(x30061)+P143(x30062)+~E(x30061,x30062) % 219.27/219.55 [3007]P38(x30072,x30073)+~E(x30071,x30072)+~P38(x30071,x30073) % 219.27/219.55 [3008]P38(x30083,x30082)+~E(x30081,x30082)+~P38(x30083,x30081) % 219.27/219.55 [3009]P36(x30092,x30093,x30094)+~E(x30091,x30092)+~P36(x30091,x30093,x30094) % 219.27/219.55 [3010]P36(x30103,x30102,x30104)+~E(x30101,x30102)+~P36(x30103,x30101,x30104) % 219.27/219.55 [3011]P36(x30113,x30114,x30112)+~E(x30111,x30112)+~P36(x30113,x30114,x30111) % 219.27/219.55 [3012]P41(x30122,x30123,x30124)+~E(x30121,x30122)+~P41(x30121,x30123,x30124) % 219.27/219.55 [3013]P41(x30133,x30132,x30134)+~E(x30131,x30132)+~P41(x30133,x30131,x30134) % 219.27/219.55 [3014]P41(x30143,x30144,x30142)+~E(x30141,x30142)+~P41(x30143,x30144,x30141) % 219.27/219.55 [3015]~P42(x30151)+P42(x30152)+~E(x30151,x30152) % 219.27/219.55 [3016]~P142(x30161)+P142(x30162)+~E(x30161,x30162) % 219.27/219.55 [3017]~P144(x30171)+P144(x30172)+~E(x30171,x30172) % 219.27/219.55 [3018]~P118(x30181)+P118(x30182)+~E(x30181,x30182) % 219.27/219.55 [3019]P8(x30192,x30193)+~E(x30191,x30192)+~P8(x30191,x30193) % 219.27/219.55 [3020]P8(x30203,x30202)+~E(x30201,x30202)+~P8(x30203,x30201) % 219.27/219.55 [3021]P35(x30212,x30213,x30214,x30215,x30216)+~E(x30211,x30212)+~P35(x30211,x30213,x30214,x30215,x30216) % 219.27/219.55 [3022]P35(x30223,x30222,x30224,x30225,x30226)+~E(x30221,x30222)+~P35(x30223,x30221,x30224,x30225,x30226) % 219.27/219.55 [3023]P35(x30233,x30234,x30232,x30235,x30236)+~E(x30231,x30232)+~P35(x30233,x30234,x30231,x30235,x30236) % 219.27/219.55 [3024]P35(x30243,x30244,x30245,x30242,x30246)+~E(x30241,x30242)+~P35(x30243,x30244,x30245,x30241,x30246) % 219.27/219.55 [3025]P35(x30253,x30254,x30255,x30256,x30252)+~E(x30251,x30252)+~P35(x30253,x30254,x30255,x30256,x30251) % 219.27/219.55 [3026]~P130(x30261)+P130(x30262)+~E(x30261,x30262) % 219.27/219.55 [3027]~P89(x30271)+P89(x30272)+~E(x30271,x30272) % 219.27/219.55 [3028]~P66(x30281)+P66(x30282)+~E(x30281,x30282) % 219.27/219.55 [3029]P29(x30292,x30293)+~E(x30291,x30292)+~P29(x30291,x30293) % 219.27/219.55 [3030]P29(x30303,x30302)+~E(x30301,x30302)+~P29(x30303,x30301) % 219.27/219.55 [3031]~P148(x30311)+P148(x30312)+~E(x30311,x30312) % 219.27/219.55 [3032]~P92(x30321)+P92(x30322)+~E(x30321,x30322) % 219.27/219.55 [3033]~P80(x30331)+P80(x30332)+~E(x30331,x30332) % 219.27/219.55 [3034]~P134(x30341)+P134(x30342)+~E(x30341,x30342) % 219.27/219.55 [3035]~P7(x30351)+P7(x30352)+~E(x30351,x30352) % 219.27/219.55 [3036]~P81(x30361)+P81(x30362)+~E(x30361,x30362) % 219.27/219.55 [3037]P45(x30372,x30373)+~E(x30371,x30372)+~P45(x30371,x30373) % 219.27/219.55 [3038]P45(x30383,x30382)+~E(x30381,x30382)+~P45(x30383,x30381) % 219.27/219.55 [3039]~P125(x30391)+P125(x30392)+~E(x30391,x30392) % 219.27/219.55 [3040]P23(x30402,x30403,x30404,x30405,x30406,x30407)+~E(x30401,x30402)+~P23(x30401,x30403,x30404,x30405,x30406,x30407) % 219.27/219.55 [3041]P23(x30413,x30412,x30414,x30415,x30416,x30417)+~E(x30411,x30412)+~P23(x30413,x30411,x30414,x30415,x30416,x30417) % 219.27/219.55 [3042]P23(x30423,x30424,x30422,x30425,x30426,x30427)+~E(x30421,x30422)+~P23(x30423,x30424,x30421,x30425,x30426,x30427) % 219.27/219.55 [3043]P23(x30433,x30434,x30435,x30432,x30436,x30437)+~E(x30431,x30432)+~P23(x30433,x30434,x30435,x30431,x30436,x30437) % 219.27/219.55 [3044]P23(x30443,x30444,x30445,x30446,x30442,x30447)+~E(x30441,x30442)+~P23(x30443,x30444,x30445,x30446,x30441,x30447) % 219.27/219.55 [3045]P23(x30453,x30454,x30455,x30456,x30457,x30452)+~E(x30451,x30452)+~P23(x30453,x30454,x30455,x30456,x30457,x30451) % 219.27/219.55 [3046]P59(x30462,x30463,x30464)+~E(x30461,x30462)+~P59(x30461,x30463,x30464) % 219.27/219.55 [3047]P59(x30473,x30472,x30474)+~E(x30471,x30472)+~P59(x30473,x30471,x30474) % 219.27/219.55 [3048]P59(x30483,x30484,x30482)+~E(x30481,x30482)+~P59(x30483,x30484,x30481) % 219.27/219.55 [3049]P19(x30492,x30493,x30494)+~E(x30491,x30492)+~P19(x30491,x30493,x30494) % 219.27/219.55 [3050]P19(x30503,x30502,x30504)+~E(x30501,x30502)+~P19(x30503,x30501,x30504) % 219.27/219.55 [3051]P19(x30513,x30514,x30512)+~E(x30511,x30512)+~P19(x30513,x30514,x30511) % 219.27/219.55 [3052]P62(x30522,x30523)+~E(x30521,x30522)+~P62(x30521,x30523) % 219.27/219.55 [3053]P62(x30533,x30532)+~E(x30531,x30532)+~P62(x30533,x30531) % 219.27/219.55 [3054]P49(x30542,x30543,x30544)+~E(x30541,x30542)+~P49(x30541,x30543,x30544) % 219.27/219.55 [3055]P49(x30553,x30552,x30554)+~E(x30551,x30552)+~P49(x30553,x30551,x30554) % 219.27/219.55 [3056]P49(x30563,x30564,x30562)+~E(x30561,x30562)+~P49(x30563,x30564,x30561) % 219.27/219.55 [3057]P25(x30572,x30573,x30574)+~E(x30571,x30572)+~P25(x30571,x30573,x30574) % 219.27/219.55 [3058]P25(x30583,x30582,x30584)+~E(x30581,x30582)+~P25(x30583,x30581,x30584) % 219.27/219.55 [3059]P25(x30593,x30594,x30592)+~E(x30591,x30592)+~P25(x30593,x30594,x30591) % 219.27/219.55 [3060]~P91(x30601)+P91(x30602)+~E(x30601,x30602) % 219.27/219.55 [3061]P13(x30612,x30613,x30614,x30615,x30616,x30617)+~E(x30611,x30612)+~P13(x30611,x30613,x30614,x30615,x30616,x30617) % 219.27/219.55 [3062]P13(x30623,x30622,x30624,x30625,x30626,x30627)+~E(x30621,x30622)+~P13(x30623,x30621,x30624,x30625,x30626,x30627) % 219.27/219.55 [3063]P13(x30633,x30634,x30632,x30635,x30636,x30637)+~E(x30631,x30632)+~P13(x30633,x30634,x30631,x30635,x30636,x30637) % 219.27/219.55 [3064]P13(x30643,x30644,x30645,x30642,x30646,x30647)+~E(x30641,x30642)+~P13(x30643,x30644,x30645,x30641,x30646,x30647) % 219.27/219.55 [3065]P13(x30653,x30654,x30655,x30656,x30652,x30657)+~E(x30651,x30652)+~P13(x30653,x30654,x30655,x30656,x30651,x30657) % 219.27/219.55 [3066]P13(x30663,x30664,x30665,x30666,x30667,x30662)+~E(x30661,x30662)+~P13(x30663,x30664,x30665,x30666,x30667,x30661) % 219.27/219.55 [3067]~P124(x30671)+P124(x30672)+~E(x30671,x30672) % 219.27/219.55 [3068]~P146(x30681)+P146(x30682)+~E(x30681,x30682) % 219.27/219.55 [3069]P47(x30692,x30693)+~E(x30691,x30692)+~P47(x30691,x30693) % 219.27/219.55 [3070]P47(x30703,x30702)+~E(x30701,x30702)+~P47(x30703,x30701) % 219.27/219.55 [3071]P64(x30712,x30713)+~E(x30711,x30712)+~P64(x30711,x30713) % 219.27/219.55 [3072]P64(x30723,x30722)+~E(x30721,x30722)+~P64(x30723,x30721) % 219.27/219.55 [3073]~P122(x30731)+P122(x30732)+~E(x30731,x30732) % 219.27/219.55 [3074]P55(x30742,x30743)+~E(x30741,x30742)+~P55(x30741,x30743) % 219.27/219.55 [3075]P55(x30753,x30752)+~E(x30751,x30752)+~P55(x30753,x30751) % 219.27/219.55 [3076]P16(x30762,x30763)+~E(x30761,x30762)+~P16(x30761,x30763) % 219.27/219.55 [3077]P16(x30773,x30772)+~E(x30771,x30772)+~P16(x30773,x30771) % 219.27/219.55 [3078]P60(x30782,x30783,x30784)+~E(x30781,x30782)+~P60(x30781,x30783,x30784) % 219.27/219.55 [3079]P60(x30793,x30792,x30794)+~E(x30791,x30792)+~P60(x30793,x30791,x30794) % 219.27/219.55 [3080]P60(x30803,x30804,x30802)+~E(x30801,x30802)+~P60(x30803,x30804,x30801) % 219.27/219.55 [3081]~P101(x30811)+P101(x30812)+~E(x30811,x30812) % 219.27/219.55 [3082]P61(x30822,x30823,x30824,x30825,x30826)+~E(x30821,x30822)+~P61(x30821,x30823,x30824,x30825,x30826) % 219.27/219.55 [3083]P61(x30833,x30832,x30834,x30835,x30836)+~E(x30831,x30832)+~P61(x30833,x30831,x30834,x30835,x30836) % 219.27/219.55 [3084]P61(x30843,x30844,x30842,x30845,x30846)+~E(x30841,x30842)+~P61(x30843,x30844,x30841,x30845,x30846) % 219.27/219.55 [3085]P61(x30853,x30854,x30855,x30852,x30856)+~E(x30851,x30852)+~P61(x30853,x30854,x30855,x30851,x30856) % 219.27/219.55 [3086]P61(x30863,x30864,x30865,x30866,x30862)+~E(x30861,x30862)+~P61(x30863,x30864,x30865,x30866,x30861) % 219.27/219.55 [3087]~P147(x30871)+P147(x30872)+~E(x30871,x30872) % 219.27/219.55 [3088]~P110(x30881)+P110(x30882)+~E(x30881,x30882) % 219.27/219.55 [3089]~P119(x30891)+P119(x30892)+~E(x30891,x30892) % 219.27/219.55 [3090]~P133(x30901)+P133(x30902)+~E(x30901,x30902) % 219.27/219.55 [3091]~P97(x30911)+P97(x30912)+~E(x30911,x30912) % 219.27/219.55 [3092]P30(x30922,x30923,x30924)+~E(x30921,x30922)+~P30(x30921,x30923,x30924) % 219.27/219.55 [3093]P30(x30933,x30932,x30934)+~E(x30931,x30932)+~P30(x30933,x30931,x30934) % 219.27/219.55 [3094]P30(x30943,x30944,x30942)+~E(x30941,x30942)+~P30(x30943,x30944,x30941) % 219.27/219.55 [3095]P21(x30952,x30953,x30954,x30955)+~E(x30951,x30952)+~P21(x30951,x30953,x30954,x30955) % 219.27/219.55 [3096]P21(x30963,x30962,x30964,x30965)+~E(x30961,x30962)+~P21(x30963,x30961,x30964,x30965) % 219.27/219.55 [3097]P21(x30973,x30974,x30972,x30975)+~E(x30971,x30972)+~P21(x30973,x30974,x30971,x30975) % 219.27/219.55 [3098]P21(x30983,x30984,x30985,x30982)+~E(x30981,x30982)+~P21(x30983,x30984,x30985,x30981) % 219.27/219.55 [3099]~P145(x30991)+P145(x30992)+~E(x30991,x30992) % 219.27/219.55 [3100]~P120(x31001)+P120(x31002)+~E(x31001,x31002) % 219.27/219.55 [3101]P15(x31012,x31013,x31014)+~E(x31011,x31012)+~P15(x31011,x31013,x31014) % 219.27/219.55 [3102]P15(x31023,x31022,x31024)+~E(x31021,x31022)+~P15(x31023,x31021,x31024) % 219.27/219.55 [3103]P15(x31033,x31034,x31032)+~E(x31031,x31032)+~P15(x31033,x31034,x31031) % 219.27/219.55 [3104]~P46(x31041)+P46(x31042)+~E(x31041,x31042) % 219.27/219.55 [3105]P31(x31052,x31053,x31054)+~E(x31051,x31052)+~P31(x31051,x31053,x31054) % 219.27/219.55 [3106]P31(x31063,x31062,x31064)+~E(x31061,x31062)+~P31(x31063,x31061,x31064) % 219.27/219.55 [3107]P31(x31073,x31074,x31072)+~E(x31071,x31072)+~P31(x31073,x31074,x31071) % 219.27/219.55 [3108]~P94(x31081)+P94(x31082)+~E(x31081,x31082) % 219.27/219.55 [3109]~P137(x31091)+P137(x31092)+~E(x31091,x31092) % 219.27/219.55 [3110]~P111(x31101)+P111(x31102)+~E(x31101,x31102) % 219.27/219.55 [3111]~P138(x31111)+P138(x31112)+~E(x31111,x31112) % 219.27/219.55 [3112]~P150(x31121)+P150(x31122)+~E(x31121,x31122) % 219.27/219.55 [3113]P11(x31132,x31133,x31134,x31135,x31136)+~E(x31131,x31132)+~P11(x31131,x31133,x31134,x31135,x31136) % 219.27/219.55 [3114]P11(x31143,x31142,x31144,x31145,x31146)+~E(x31141,x31142)+~P11(x31143,x31141,x31144,x31145,x31146) % 219.27/219.55 [3115]P11(x31153,x31154,x31152,x31155,x31156)+~E(x31151,x31152)+~P11(x31153,x31154,x31151,x31155,x31156) % 219.27/219.55 [3116]P11(x31163,x31164,x31165,x31162,x31166)+~E(x31161,x31162)+~P11(x31163,x31164,x31165,x31161,x31166) % 219.27/219.55 [3117]P11(x31173,x31174,x31175,x31176,x31172)+~E(x31171,x31172)+~P11(x31173,x31174,x31175,x31176,x31171) % 219.27/219.55 [3118]P63(x31182,x31183,x31184,x31185)+~E(x31181,x31182)+~P63(x31181,x31183,x31184,x31185) % 219.27/219.55 [3119]P63(x31193,x31192,x31194,x31195)+~E(x31191,x31192)+~P63(x31193,x31191,x31194,x31195) % 219.27/219.55 [3120]P63(x31203,x31204,x31202,x31205)+~E(x31201,x31202)+~P63(x31203,x31204,x31201,x31205) % 219.27/219.55 [3121]P63(x31213,x31214,x31215,x31212)+~E(x31211,x31212)+~P63(x31213,x31214,x31215,x31211) % 219.27/219.55 [3122]P44(x31222,x31223,x31224,x31225,x31226,x31227)+~E(x31221,x31222)+~P44(x31221,x31223,x31224,x31225,x31226,x31227) % 219.27/219.55 [3123]P44(x31233,x31232,x31234,x31235,x31236,x31237)+~E(x31231,x31232)+~P44(x31233,x31231,x31234,x31235,x31236,x31237) % 219.27/219.55 [3124]P44(x31243,x31244,x31242,x31245,x31246,x31247)+~E(x31241,x31242)+~P44(x31243,x31244,x31241,x31245,x31246,x31247) % 219.27/219.55 [3125]P44(x31253,x31254,x31255,x31252,x31256,x31257)+~E(x31251,x31252)+~P44(x31253,x31254,x31255,x31251,x31256,x31257) % 219.27/219.55 [3126]P44(x31263,x31264,x31265,x31266,x31262,x31267)+~E(x31261,x31262)+~P44(x31263,x31264,x31265,x31266,x31261,x31267) % 219.27/219.55 [3127]P44(x31273,x31274,x31275,x31276,x31277,x31272)+~E(x31271,x31272)+~P44(x31273,x31274,x31275,x31276,x31277,x31271) % 219.27/219.55 [3128]P18(x31282,x31283,x31284)+~E(x31281,x31282)+~P18(x31281,x31283,x31284) % 219.27/219.55 [3129]P18(x31293,x31292,x31294)+~E(x31291,x31292)+~P18(x31293,x31291,x31294) % 219.27/219.55 [3130]P18(x31303,x31304,x31302)+~E(x31301,x31302)+~P18(x31303,x31304,x31301) % 219.27/219.55 [3131]P50(x31312,x31313)+~E(x31311,x31312)+~P50(x31311,x31313) % 219.27/219.55 [3132]P50(x31323,x31322)+~E(x31321,x31322)+~P50(x31323,x31321) % 219.27/219.55 [3133]~P105(x31331)+P105(x31332)+~E(x31331,x31332) % 219.27/219.55 [3134]P48(x31342,x31343,x31344)+~E(x31341,x31342)+~P48(x31341,x31343,x31344) % 219.27/219.55 [3135]P48(x31353,x31352,x31354)+~E(x31351,x31352)+~P48(x31353,x31351,x31354) % 219.27/219.55 [3136]P48(x31363,x31364,x31362)+~E(x31361,x31362)+~P48(x31363,x31364,x31361) % 219.27/219.55 [3137]~P139(x31371)+P139(x31372)+~E(x31371,x31372) % 219.27/219.55 [3138]~P141(x31381)+P141(x31382)+~E(x31381,x31382) % 219.27/219.55 [3139]~P123(x31391)+P123(x31392)+~E(x31391,x31392) % 219.27/219.55 [3140]P40(x31402,x31403)+~E(x31401,x31402)+~P40(x31401,x31403) % 219.27/219.55 [3141]P40(x31413,x31412)+~E(x31411,x31412)+~P40(x31413,x31411) % 219.27/219.55 [3142]P33(x31422,x31423,x31424,x31425)+~E(x31421,x31422)+~P33(x31421,x31423,x31424,x31425) % 219.27/219.55 [3143]P33(x31433,x31432,x31434,x31435)+~E(x31431,x31432)+~P33(x31433,x31431,x31434,x31435) % 219.27/219.55 [3144]P33(x31443,x31444,x31442,x31445)+~E(x31441,x31442)+~P33(x31443,x31444,x31441,x31445) % 219.27/219.55 [3145]P33(x31453,x31454,x31455,x31452)+~E(x31451,x31452)+~P33(x31453,x31454,x31455,x31451) % 219.27/219.55 [3146]P52(x31462,x31463,x31464,x31465)+~E(x31461,x31462)+~P52(x31461,x31463,x31464,x31465) % 219.27/219.55 [3147]P52(x31473,x31472,x31474,x31475)+~E(x31471,x31472)+~P52(x31473,x31471,x31474,x31475) % 219.27/219.55 [3148]P52(x31483,x31484,x31482,x31485)+~E(x31481,x31482)+~P52(x31483,x31484,x31481,x31485) % 219.27/219.55 [3149]P52(x31493,x31494,x31495,x31492)+~E(x31491,x31492)+~P52(x31493,x31494,x31495,x31491) % 219.27/219.55 [3150]~P140(x31501)+P140(x31502)+~E(x31501,x31502) % 219.27/219.55 [3151]P28(x31512,x31513)+~E(x31511,x31512)+~P28(x31511,x31513) % 219.27/219.55 [3152]P28(x31523,x31522)+~E(x31521,x31522)+~P28(x31523,x31521) % 219.27/219.55 [3153]~P112(x31531)+P112(x31532)+~E(x31531,x31532) % 219.27/219.55 [3154]P58(x31542,x31543)+~E(x31541,x31542)+~P58(x31541,x31543) % 219.27/219.55 [3155]P58(x31553,x31552)+~E(x31551,x31552)+~P58(x31553,x31551) % 219.27/219.55 [3156]~P37(x31561)+P37(x31562)+~E(x31561,x31562) % 219.27/219.55 [3157]~P127(x31571)+P127(x31572)+~E(x31571,x31572) % 219.27/219.55 [3158]P24(x31582,x31583,x31584,x31585,x31586,x31587)+~E(x31581,x31582)+~P24(x31581,x31583,x31584,x31585,x31586,x31587) % 219.27/219.55 [3159]P24(x31593,x31592,x31594,x31595,x31596,x31597)+~E(x31591,x31592)+~P24(x31593,x31591,x31594,x31595,x31596,x31597) % 219.27/219.55 [3160]P24(x31603,x31604,x31602,x31605,x31606,x31607)+~E(x31601,x31602)+~P24(x31603,x31604,x31601,x31605,x31606,x31607) % 219.27/219.55 [3161]P24(x31613,x31614,x31615,x31612,x31616,x31617)+~E(x31611,x31612)+~P24(x31613,x31614,x31615,x31611,x31616,x31617) % 219.27/219.55 [3162]P24(x31623,x31624,x31625,x31626,x31622,x31627)+~E(x31621,x31622)+~P24(x31623,x31624,x31625,x31626,x31621,x31627) % 219.27/219.55 [3163]P24(x31633,x31634,x31635,x31636,x31637,x31632)+~E(x31631,x31632)+~P24(x31633,x31634,x31635,x31636,x31637,x31631) % 219.27/219.55 [3164]~P82(x31641)+P82(x31642)+~E(x31641,x31642) % 219.27/219.55 [3165]~P95(x31651)+P95(x31652)+~E(x31651,x31652) % 219.27/219.55 [3166]~P85(x31661)+P85(x31662)+~E(x31661,x31662) % 219.27/219.55 [3167]~P135(x31671)+P135(x31672)+~E(x31671,x31672) % 219.27/219.55 [3168]P10(x31682,x31683,x31684)+~E(x31681,x31682)+~P10(x31681,x31683,x31684) % 219.27/219.55 [3169]P10(x31693,x31692,x31694)+~E(x31691,x31692)+~P10(x31693,x31691,x31694) % 219.27/219.55 [3170]P10(x31703,x31704,x31702)+~E(x31701,x31702)+~P10(x31703,x31704,x31701) % 219.27/219.55 [3171]P43(x31712,x31713,x31714,x31715)+~E(x31711,x31712)+~P43(x31711,x31713,x31714,x31715) % 219.27/219.55 [3172]P43(x31723,x31722,x31724,x31725)+~E(x31721,x31722)+~P43(x31723,x31721,x31724,x31725) % 219.27/219.55 [3173]P43(x31733,x31734,x31732,x31735)+~E(x31731,x31732)+~P43(x31733,x31734,x31731,x31735) % 219.27/219.55 [3174]P43(x31743,x31744,x31745,x31742)+~E(x31741,x31742)+~P43(x31743,x31744,x31745,x31741) % 219.27/219.55 [3175]~P136(x31751)+P136(x31752)+~E(x31751,x31752) % 219.27/219.55 [3176]~P128(x31761)+P128(x31762)+~E(x31761,x31762) % 219.27/219.55 % 219.27/219.55 %------------------------------------------- % 219.27/219.59 cnf(10537,plain, % 219.27/219.59 (~E(f319(a104,x105371),x105371)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10546,plain, % 219.27/219.59 (~E(f319(f160(x105461),f319(a104,f319(f160(x105461),x105462))),x105462)), % 219.27/219.59 inference(scs_inference,[],[4716,10537,3368,3404,3414,4755,4788,4814,4869,4873,4897,4912])). % 219.27/219.59 cnf(10547,plain, % 219.27/219.59 (~E(f319(a104,x105471),x105471)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10560,plain, % 219.27/219.59 (~E(f319(a104,x105601),x105601)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10565,plain, % 219.27/219.59 (~P1(f319(f319(f164(x105651),f105(x105651)),x105652))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10568,plain, % 219.27/219.59 (~P1(f319(f319(f164(x105681),f105(x105681)),x105682))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10571,plain, % 219.27/219.59 (~E(f319(a104,x105711),x105711)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10574,plain, % 219.27/219.59 (~E(f319(a104,x105741),x105741)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10577,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x105771),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(10580,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x105801),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(10597,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x105971)),x105971))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(10600,plain, % 219.27/219.59 (~E(f319(f319(f143(x106001),x106002),x106003),x106003)), % 219.27/219.59 inference(rename_variables,[],[4730])). % 219.27/219.59 cnf(10606,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x106061),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(10609,plain, % 219.27/219.59 (E(f319(f276(x106091,x106091),f255(x106091,x106092)),x106092)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(10612,plain, % 219.27/219.59 (E(f319(f276(x106121,x106121),f255(x106121,x106122)),x106122)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(10617,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x106171),x106171))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(10622,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x106221),x106222)),x106222))), % 219.27/219.59 inference(rename_variables,[],[4772])). % 219.27/219.59 cnf(10625,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x106251),x106252)),x106252))), % 219.27/219.59 inference(rename_variables,[],[4772])). % 219.27/219.59 cnf(10632,plain, % 219.27/219.59 (~E(x106321,f319(a104,x106321))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,3368,3533,10609,3408,3470,3404,3431,3414,4730,3639,3556,4754,10577,10580,4751,4724,4757,10565,4750,4758,4382,4755,3549,4743,4774,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390])). % 219.27/219.59 cnf(10636,plain, % 219.27/219.59 (~P1(f319(f137(x106361,x106362),f319(f319(f244(f926(x106361),f926(x106361)),x106363),f105(x106361))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,3368,3533,10609,3408,3470,3404,3431,3414,4730,4777,3639,3556,4754,10577,10580,4148,4751,4724,4757,10565,4750,4758,4382,4755,3549,4743,4774,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399])). % 219.27/219.59 cnf(10646,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x106461),x106461))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(10649,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f39(a925,x106491,x106492)),x106491))), % 219.27/219.59 inference(rename_variables,[],[4023])). % 219.27/219.59 cnf(10670,plain, % 219.27/219.59 (E(f319(f29(a925),f319(f274(a925),x106701)),x106701)), % 219.27/219.59 inference(rename_variables,[],[3468])). % 219.27/219.59 cnf(10678,plain, % 219.27/219.59 (~E(f319(a104,x106781),x106781)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10681,plain, % 219.27/219.59 (~E(f319(a104,x106811),x106811)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10684,plain, % 219.27/219.59 (~E(f319(a104,x106841),x106841)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10686,plain, % 219.27/219.59 (P1(f319(a185,a89))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,3368,3533,10609,3408,3470,3404,3431,3414,3503,4730,3468,4777,3488,3639,3556,4754,10577,10580,4148,3575,4751,4724,4757,10565,4750,10617,10646,3664,4084,4023,4758,10597,4382,4755,4742,3549,4743,4774,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527])). % 219.27/219.59 cnf(10689,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x106891),f319(a104,x106891)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(10691,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x106911),f319(a104,x106911)))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,3368,3533,10609,3408,3470,3404,3431,3414,3503,4730,3468,4777,3488,3639,3556,4754,10577,10580,4148,3575,4751,4724,4757,10565,4750,10617,10646,3664,4084,4023,4758,10597,4382,4755,4742,3549,4743,4774,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539])). % 219.27/219.59 cnf(10698,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x106981),x106981))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(10705,plain, % 219.27/219.59 (E(f319(f276(x107051,x107051),f255(x107051,x107052)),x107052)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(10708,plain, % 219.27/219.59 (E(f319(f276(x107081,x107081),f255(x107081,x107082)),x107082)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(10725,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x107251),x107251))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(10730,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x107301),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(10733,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x107331,a923)),x107332),f234(f932(x107331,a923))))), % 219.27/219.59 inference(rename_variables,[],[3949])). % 219.27/219.59 cnf(10737,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),f2(a1)),f329(f319(f164(x107371),f105(x107371)))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,3503,4730,3468,4341,4777,3488,3639,10689,3556,4754,10577,10580,10606,4005,4148,3601,3575,4751,4724,4757,10565,10568,4291,3949,3572,3573,4750,10617,10646,3664,4084,4023,10649,4758,10597,4382,4755,4742,3549,4743,4774,4046,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631])). % 219.27/219.59 cnf(10738,plain, % 219.27/219.59 (~P1(f319(f319(f164(x107381),f105(x107381)),x107382))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10767,plain, % 219.27/219.59 (~E(f319(f319(f143(x107671),x107672),x107673),x107673)), % 219.27/219.59 inference(rename_variables,[],[4730])). % 219.27/219.59 cnf(10770,plain, % 219.27/219.59 (~E(f319(a104,x107701),f2(a925))), % 219.27/219.59 inference(rename_variables,[],[4722])). % 219.27/219.59 cnf(10781,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x107811),x107811))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(10786,plain, % 219.27/219.59 (~E(f319(a104,x107861),x107861)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10789,plain, % 219.27/219.59 (~P1(f319(f319(f180(f932(x107891,f932(x107892,a923))),x107893),x107894))), % 219.27/219.59 inference(rename_variables,[],[4775])). % 219.27/219.59 cnf(10796,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x107961),x107961))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(10800,plain, % 219.27/219.59 (~E(f319(f160(x108001),f319(f319(f143(x108001),x108002),x108003)),f105(x108001))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,4722,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,3503,4730,10600,3468,4341,4777,3488,3931,3639,10689,3556,4754,10577,10580,10606,10730,4005,4148,3599,3601,3575,4751,4724,4757,10565,10568,4291,3949,3572,10698,3573,10725,4750,10617,10646,3664,4084,4023,10649,4758,10597,4382,4755,4742,3549,3553,4743,4774,4775,4046,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871])). % 219.27/219.59 cnf(10809,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x108091),f319(a104,x108091)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(10830,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x108301,a923)),x108302),f234(f932(x108301,a923))))), % 219.27/219.59 inference(rename_variables,[],[3949])). % 219.27/219.59 cnf(10833,plain, % 219.27/219.59 (~P1(f319(f319(f164(x108331),f105(x108331)),x108332))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10843,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x108431),f319(a104,f319(a104,x108431))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,4722,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,4341,4777,3488,3931,3639,10689,10809,3556,4754,10577,10580,10606,10730,4005,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,4291,3949,10733,3572,10698,10796,3573,10725,4750,10617,10646,3664,4084,4023,10649,4758,10597,4382,4755,4742,3549,3553,4744,4743,4774,4775,4046,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969])). % 219.27/219.59 cnf(10852,plain, % 219.27/219.59 (~P1(f319(f319(f164(x108521),f105(x108521)),x108522))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10859,plain, % 219.27/219.59 (~P1(f319(f319(f164(x108591),f105(x108591)),x108592))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10870,plain, % 219.27/219.59 (~E(f319(a104,x108701),f2(a925))), % 219.27/219.59 inference(rename_variables,[],[4722])). % 219.27/219.59 cnf(10875,plain, % 219.27/219.59 (P1(f319(f319(f321(x108751),x108752),f234(f932(x108751,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(10879,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),f2(a925)),f319(a96,f72(a1))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,4722,10770,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,4341,4777,3488,3931,3639,10689,10809,3556,4754,10577,10580,10606,10730,4765,4005,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,4291,3949,10733,3572,10698,10796,3573,10725,4750,10617,10646,3722,3664,4084,4023,10649,4758,10597,4382,4755,4742,3549,3553,4744,4743,4774,4775,4046,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113])). % 219.27/219.59 cnf(10882,plain, % 219.27/219.59 (~P1(f319(f319(f164(x108821),f105(x108821)),x108822))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10887,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x108871),f319(a104,x108871)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(10890,plain, % 219.27/219.59 (~P1(f319(f319(f164(x108901),f105(x108901)),x108902))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10893,plain, % 219.27/219.59 (~P1(f319(f319(f164(x108931),f105(x108931)),x108932))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10896,plain, % 219.27/219.59 (~P1(f319(f56(x108961,x108962,f180(f932(x108961,a923))),x108963))), % 219.27/219.59 inference(rename_variables,[],[4771])). % 219.27/219.59 cnf(10899,plain, % 219.27/219.59 (~P1(f319(f56(x108991,x108992,f180(f932(x108991,a923))),x108993))), % 219.27/219.59 inference(rename_variables,[],[4771])). % 219.27/219.59 cnf(10901,plain, % 219.27/219.59 (~P34(x109011,f319(f180(f932(x109012,f932(x109013,a923))),x109014),x109015)), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,4722,10770,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,4341,4777,3488,3931,3639,10689,10809,3556,4754,10577,10580,10606,10730,4765,4005,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,4291,3949,10733,3572,10698,10796,3573,10725,4750,10617,10646,3722,3664,4084,4023,10649,4758,10597,4382,4755,4742,3549,3553,4744,4743,4771,10896,4774,4775,10789,4046,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142])). % 219.27/219.59 cnf(10902,plain, % 219.27/219.59 (~P1(f319(f319(f180(f932(x109021,f932(x109022,a923))),x109023),x109024))), % 219.27/219.59 inference(rename_variables,[],[4775])). % 219.27/219.59 cnf(10905,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x109051),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(10910,plain, % 219.27/219.59 (~P1(f319(f319(f164(x109101),f105(x109101)),x109102))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(10920,plain, % 219.27/219.59 (~E(f319(f160(x109201),f319(a104,f319(f319(f126(x109201),f319(f160(x109201),x109202)),f319(f319(f143(x109201),x109203),f105(x109201))))),f319(f319(f143(x109201),x109203),x109202))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,4341,4777,3488,3931,3639,10689,10809,10887,3556,4754,10577,10580,10606,10730,4765,4005,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,3573,10725,4750,10617,10646,3722,3664,4084,4023,10649,4758,10597,4382,4755,4742,3549,3553,4744,4743,4771,10896,4774,4775,10789,4046,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231])). % 219.27/219.59 cnf(10921,plain, % 219.27/219.59 (~E(f319(a104,x109211),x109211)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(10939,plain, % 219.27/219.59 (P1(f319(f319(f227(a91),f319(a3,x109391)),f319(a3,f319(a104,x109391))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,4341,4777,3488,3931,3639,10689,10809,10887,4018,3556,4754,10577,10580,10606,10730,4765,4005,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,3573,10725,4750,10617,10646,3722,3664,4084,4023,10649,4758,10597,4382,4755,4742,3549,3553,4744,4743,4771,10896,4774,4775,10789,4046,4772,10622,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310])). % 219.27/219.59 cnf(10946,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x109461),x109461))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(10949,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x109491),f319(f319(f75(a925),x109491),x109491)))), % 219.27/219.59 inference(rename_variables,[],[3829])). % 219.27/219.59 cnf(10952,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x109521),f319(f319(f75(a925),x109521),x109521)))), % 219.27/219.59 inference(rename_variables,[],[3829])). % 219.27/219.59 cnf(10955,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x109551),f319(a104,f319(f319(f74(a925),x109552),x109551))))), % 219.27/219.59 inference(rename_variables,[],[4016])). % 219.27/219.59 cnf(10960,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x109601),f319(a104,x109601)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(10963,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x109631),f319(a104,x109631)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(10966,plain, % 219.27/219.59 (P1(f319(f319(f321(x109661),x109662),f234(f932(x109661,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(10985,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x109851)),x109851))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(10988,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x109881)),x109881))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(10991,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x109911),x109912)),x109912))), % 219.27/219.59 inference(rename_variables,[],[4772])). % 219.27/219.59 cnf(10994,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x109941),x109942)),x109942))), % 219.27/219.59 inference(rename_variables,[],[4772])). % 219.27/219.59 cnf(10997,plain, % 219.27/219.59 (P1(f319(f234(f932(x109971,a923)),x109972))), % 219.27/219.59 inference(rename_variables,[],[3632])). % 219.27/219.59 cnf(11000,plain, % 219.27/219.59 (E(f319(f29(a925),f319(f274(a925),x110001)),x110001)), % 219.27/219.59 inference(rename_variables,[],[3468])). % 219.27/219.59 cnf(11003,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x110031),f319(a104,x110031)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(11010,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x110101),x110101))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11014,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f319(f95(a925),a77)),f319(f95(a925),x110141)))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,4018,3556,4754,10577,10580,10606,10730,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,10946,3573,10725,10781,4750,10617,10646,3722,10875,3632,3664,4084,4023,10649,4758,10597,10985,4382,4755,4742,3549,3553,4744,4743,4771,10896,4776,3829,10949,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495])). % 219.27/219.59 cnf(11015,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x110151),x110151))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(11024,plain, % 219.27/219.59 (E(f319(f276(x110241,x110241),f255(x110241,x110242)),x110242)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(11027,plain, % 219.27/219.59 (P1(f319(f234(f932(x110271,a923)),x110272))), % 219.27/219.59 inference(rename_variables,[],[3632])). % 219.27/219.59 cnf(11029,plain, % 219.27/219.59 (P32(x110291,f319(f226(a925),f2(a925)),x110292)), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,4018,3556,4754,10577,10580,10606,10730,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,10946,3573,10725,10781,4750,10617,10646,3722,10875,3632,10997,3664,4084,4023,10649,4758,10597,10985,3593,4382,4755,4742,3549,3553,4744,4743,4771,10896,4776,3829,10949,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535])). % 219.27/219.59 cnf(11030,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f2(a925)),x110301))), % 219.27/219.59 inference(rename_variables,[],[3593])). % 219.27/219.59 cnf(11032,plain, % 219.27/219.59 (P32(x110321,f319(f226(f932(x110322,a923)),f180(f932(x110322,a923))),x110323)), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,4018,3556,4754,10577,10580,10606,10730,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,10946,3573,10725,10781,4750,10617,10646,3722,10875,3632,10997,3664,4084,4023,10649,4758,10597,10985,3593,4382,4755,4742,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536])). % 219.27/219.59 cnf(11033,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x110331,a923)),f180(f932(x110331,a923))),x110332))), % 219.27/219.59 inference(rename_variables,[],[4015])). % 219.27/219.59 cnf(11036,plain, % 219.27/219.59 (P1(f319(f234(f932(x110361,a923)),x110362))), % 219.27/219.59 inference(rename_variables,[],[3632])). % 219.27/219.59 cnf(11039,plain, % 219.27/219.59 (P1(f319(f234(f932(x110391,a923)),x110392))), % 219.27/219.59 inference(rename_variables,[],[3632])). % 219.27/219.59 cnf(11042,plain, % 219.27/219.59 (P1(f319(f234(f932(x110421,a923)),x110422))), % 219.27/219.59 inference(rename_variables,[],[3632])). % 219.27/219.59 cnf(11044,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(f319(f75(a925),f319(a104,x110441)),f319(a104,x110441))),x110441))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,4018,3556,4754,10577,10580,10606,10730,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,10946,3573,10725,10781,4750,10617,10646,3722,10875,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,3593,4382,4755,4742,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546])). % 219.27/219.59 cnf(11045,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x110451),f319(f319(f75(a925),x110451),x110451)))), % 219.27/219.59 inference(rename_variables,[],[3829])). % 219.27/219.59 cnf(11049,plain, % 219.27/219.59 (E(f319(f160(x110491),f165(x110492,f319(f319(f126(x110491),f319(f160(x110491),x110493)),f319(f319(f143(x110491),x110494),f105(x110491))),f105(x110492))),f319(f319(f143(x110491),x110494),x110493))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,4018,3556,4754,10577,10580,10606,10730,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,10946,3573,10725,10781,4750,10617,10646,3722,10875,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,3593,4382,4755,4742,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585])). % 219.27/219.59 cnf(11054,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,f319(a104,f319(f319(f74(a925),x110541),x110542)))),f319(a104,x110542)))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,11003,4018,3556,4754,10577,10580,10606,10730,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,10946,3573,10725,10781,4750,10617,10646,3722,10875,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,3593,4382,4755,4742,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589])). % 219.27/219.59 cnf(11062,plain, % 219.27/219.59 (~P1(f319(f319(f227(a91),f319(a3,x110621)),f319(a3,f2(a925))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,11003,4018,3556,4754,10577,10580,10606,10730,10905,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,4291,3949,10733,3572,10698,10796,10946,3573,10725,10781,4750,10617,10646,3722,10875,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,4382,4755,4742,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594])). % 219.27/219.59 cnf(11087,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x110871),x110871))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11098,plain, % 219.27/219.59 (~P1(f319(f319(f164(x110981),f105(x110981)),x110982))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(11107,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x111071),f319(a104,x111071)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(11109,plain, % 219.27/219.59 (P1(f319(f319(f227(a1),f319(f319(f23(a1),x111091),f72(a1))),x111091))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4200,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,11003,4018,3556,4754,10577,10580,10606,10730,10905,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4291,3949,10733,3572,10698,10796,10946,11010,11087,3573,10725,10781,11015,4750,10617,10646,3722,10875,4761,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,4382,4755,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860])). % 219.27/219.59 cnf(11110,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x111101),x111101))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(11115,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x111151),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(11128,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x111281),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(11131,plain, % 219.27/219.59 (~P1(f319(f319(f227(f932(x111311,a923)),x111312),f180(f932(x111311,a923))))), % 219.27/219.59 inference(rename_variables,[],[4769])). % 219.27/219.59 cnf(11134,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x111341),x111341))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11137,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x111371),x111371))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11151,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x111511),f319(f319(f23(a925),x111511),x111512)))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3503,4730,10600,3468,10670,4341,4200,4777,3488,3931,3866,3639,10689,10809,10887,10960,10963,11003,4018,3556,4754,10577,10580,10606,10730,10905,11115,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,3573,10725,10781,11015,4750,10617,10646,3722,10875,4761,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,4382,4755,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,4774,4775,10789,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024])). % 219.27/219.59 cnf(11152,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x111521),x111521))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(11161,plain, % 219.27/219.59 (~P1(f319(f319(f321(x111611),x111612),f180(f932(x111611,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11168,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x111681),x111681))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11171,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x111711,a923)),f319(f302(x111712,x111711,x111713),f319(f303(x111712,x111711,x111713),x111714))),x111714))), % 219.27/219.59 inference(rename_variables,[],[4437])). % 219.27/219.59 cnf(11180,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x111801,a923)),f319(f164(x111801),f319(f128(x111801,x111802),x111803))),f319(f164(x111801),x111803)))), % 219.27/219.59 inference(rename_variables,[],[4209])). % 219.27/219.59 cnf(11183,plain, % 219.27/219.59 (E(f319(f302(x111831,x111831,f5(x111831)),x111832),x111832)), % 219.27/219.59 inference(rename_variables,[],[3628])). % 219.27/219.59 cnf(11188,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f2(a925)),x111881))), % 219.27/219.59 inference(rename_variables,[],[3593])). % 219.27/219.59 cnf(11191,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x111911),x111911))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11194,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x111941),x111941))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(11200,plain, % 219.27/219.59 (E(f319(f319(f126(a925),f131(a925,f319(f294(a925,x112001),x112001))),f319(f319(f143(a925),x112001),f105(a925))),f131(a925,f319(f294(a925,x112001),f319(a104,x112001))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,3573,10725,10781,11015,4750,10617,10646,11152,3722,10875,4761,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,4382,4755,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425])). % 219.27/219.59 cnf(11203,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x112031),x112031))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(11214,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x112141),f319(f319(f75(a925),x112141),x112141)))), % 219.27/219.59 inference(rename_variables,[],[3829])). % 219.27/219.59 cnf(11220,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x112201),f319(a104,f319(f319(f74(a925),x112202),x112201))))), % 219.27/219.59 inference(rename_variables,[],[4016])). % 219.27/219.59 cnf(11226,plain, % 219.27/219.59 (~E(x112261,f319(f319(f143(x112262),x112263),x112261))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,3573,10725,10781,11015,4750,10617,10646,11152,11194,3722,10875,4761,11161,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,4382,4755,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604])). % 219.27/219.59 cnf(11227,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x112271),x112271))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11229,plain, % 219.27/219.59 (P1(f319(f319(f227(a1),x112291),f319(f319(f74(a1),x112291),f72(a1))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,4761,11161,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,4382,4755,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650])). % 219.27/219.59 cnf(11230,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x112301),x112301))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(11232,plain, % 219.27/219.59 (~E(f319(f66(x112321,x112322,x112323,a104),x112324),x112324)), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,4761,11161,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,4382,4755,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660])). % 219.27/219.59 cnf(11233,plain, % 219.27/219.59 (~E(f319(a104,x112331),x112331)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11237,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(x112371,x112371)),x112372),f299(x112371,f234(f932(f931(x112371,x112371),a923)))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,4761,11161,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,4382,4755,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678])). % 219.27/219.59 cnf(11238,plain, % 219.27/219.59 (P1(f319(f319(f321(x112381),x112382),f234(f932(x112381,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(11243,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x112431),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(11258,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f2(a925)),x112581))), % 219.27/219.59 inference(rename_variables,[],[3593])). % 219.27/219.59 cnf(11265,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x112651),x112651))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11274,plain, % 219.27/219.59 (~P1(f319(f319(f321(x112741),x112742),f180(f932(x112741,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11276,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x112761,a923)),f32(f932(x112761,a923),f319(f300(x112761),x112762))),x112762))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,4761,11161,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003])). % 219.27/219.59 cnf(11278,plain, % 219.27/219.59 (E(f319(f319(f93(f932(x112781,a923)),f319(f319(f93(f932(x112781,a923)),x112782),f319(f73(f932(x112781,a923)),x112783))),x112783),f180(f932(x112781,a923)))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,4761,11161,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005])). % 219.27/219.59 cnf(11281,plain, % 219.27/219.59 (P1(f319(f319(f321(f926(x112811)),x112812),f153(x112811,f234(f932(x112811,a923)))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,4761,11161,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014])). % 219.27/219.59 cnf(11282,plain, % 219.27/219.59 (P1(f319(f319(f321(x112821),x112822),f234(f932(x112821,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(11285,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x112851),f926(x112851))),f319(f319(f244(f926(x112851),f926(x112851)),x112852),f105(x112851))),f137(x112851,x112853)))), % 219.27/219.59 inference(rename_variables,[],[4777])). % 219.27/219.59 cnf(11294,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x112941,x112941)),x112942),f255(x112941,f180(f932(x112941,a923)))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,4761,11161,11274,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150])). % 219.27/219.59 cnf(11295,plain, % 219.27/219.59 (~P1(f319(f319(f321(x112951),x112952),f180(f932(x112951,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11297,plain, % 219.27/219.59 (~P1(f319(f319(f321(x112971),x112972),f319(f303(x112971,x112973,x112974),f180(f932(x112973,a923)))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,4761,11161,11274,11295,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4015,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183])). % 219.27/219.59 cnf(11298,plain, % 219.27/219.59 (~P1(f319(f319(f321(x112981),x112982),f180(f932(x112981,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11301,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x113011,a923)),x113012),f319(f319(f301(x113011),x113013),x113012)))), % 219.27/219.59 inference(rename_variables,[],[4013])). % 219.27/219.59 cnf(11304,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x113041),x113041))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(11306,plain, % 219.27/219.59 (P1(f319(f319(f321(x113061),x113062),f319(f319(f301(x113061),x113063),f319(f319(f301(x113061),x113062),x113064))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,4761,11161,11274,11295,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4013,11301,4015,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272])). % 219.27/219.59 cnf(11307,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x113071,a923)),x113072),f319(f319(f301(x113071),x113073),x113072)))), % 219.27/219.59 inference(rename_variables,[],[4013])). % 219.27/219.59 cnf(11310,plain, % 219.27/219.59 (E(f319(f302(x113101,x113101,f5(x113101)),x113102),x113102)), % 219.27/219.59 inference(rename_variables,[],[3628])). % 219.27/219.59 cnf(11312,plain, % 219.27/219.59 (P35(x113121,x113122,x113123,f106(x113121,f105(x113121)),f105(x113122))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3418,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,11183,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,4761,11161,11274,11295,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4013,11301,4015,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290])). % 219.27/219.59 cnf(11324,plain, % 219.27/219.59 (E(f319(x113241,f895(x113241,x113242,f319(x113241,x113243))),f319(x113241,x113243))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,3368,3418,3533,10609,10612,10705,10708,3510,3408,3470,3404,3431,3414,4037,3628,11183,3503,4730,10600,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,4303,4209,11180,3932,4291,3949,10733,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,4166,4013,11301,4015,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463])). % 219.27/219.59 cnf(11327,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x113271,a923)),x113272),f319(f319(f301(x113271),x113273),x113272)))), % 219.27/219.59 inference(rename_variables,[],[4013])). % 219.27/219.59 cnf(11340,plain, % 219.27/219.59 (~E(f319(a104,x113401),f2(a925))), % 219.27/219.59 inference(rename_variables,[],[4722])). % 219.27/219.59 cnf(11343,plain, % 219.27/219.59 (~P1(f319(f319(f164(x113431),f105(x113431)),x113432))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(11356,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x113561),f319(a104,x113561)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(11366,plain, % 219.27/219.59 (~E(f319(f302(x113661,f932(x113661,a923),x113662),x113663),f319(f300(x113661),x113663))), % 219.27/219.59 inference(rename_variables,[],[4759])). % 219.27/219.59 cnf(11369,plain, % 219.27/219.59 (~P1(f319(f319(f321(x113691),x113692),f180(f932(x113691,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11372,plain, % 219.27/219.59 (~P1(f319(f319(f321(x113721),x113722),f180(f932(x113721,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11375,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x113751,x113751)),f319(f319(f244(x113751,x113751),x113752),x113753)),f145(x113751,f105(f932(x113751,a925)))))), % 219.27/219.59 inference(rename_variables,[],[4776])). % 219.27/219.59 cnf(11378,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x113781,x113781)),f319(f319(f244(x113781,x113781),x113782),x113783)),f145(x113781,f105(f932(x113781,a925)))))), % 219.27/219.59 inference(rename_variables,[],[4776])). % 219.27/219.59 cnf(11383,plain, % 219.27/219.59 (~P1(f319(f319(f321(x113831),x113832),f180(f932(x113831,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11386,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(x113861,x113861)),f319(f319(f244(x113861,x113861),x113862),x113862)),f299(x113861,x113863)))), % 219.27/219.59 inference(rename_variables,[],[4200])). % 219.27/219.59 cnf(11389,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x113891,a923)),f319(f164(x113891),f168(x113891,x113892,x113893))),f319(f164(x113891),x113892)))), % 219.27/219.59 inference(rename_variables,[],[4257])). % 219.27/219.59 cnf(11392,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x113921,a923)),x113922),f234(f932(x113921,a923))))), % 219.27/219.59 inference(rename_variables,[],[3949])). % 219.27/219.59 cnf(11394,plain, % 219.27/219.59 (P1(f319(f55(x113941),f319(f319(f66(x113942,x113943,x113944,f302(a925,x113941,x113945)),f254(a925)),f319(f319(f7(a925,a925,a923),f227(a925)),x113946))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,10870,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,3468,10670,4341,4200,4777,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,4015,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760])). % 219.27/219.59 cnf(11408,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x114081,a923)),f180(f932(x114081,a923))),x114082))), % 219.27/219.59 inference(rename_variables,[],[4015])). % 219.27/219.59 cnf(11416,plain, % 219.27/219.59 (~P1(f319(f319(f61(f926(x114161),f926(x114161),f137(x114161,x114162)),x114163),f105(x114161)))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,4722,10770,10870,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,3468,10670,4341,4200,11386,4777,11285,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801])). % 219.27/219.59 cnf(11419,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x114191),f926(x114191))),f319(f319(f244(f926(x114191),f926(x114191)),x114192),f105(x114191))),f139(x114191,x114193)))), % 219.27/219.59 inference(rename_variables,[],[4778])). % 219.27/219.59 cnf(11430,plain, % 219.27/219.59 (~E(f319(a104,x114301),x114301)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11433,plain, % 219.27/219.59 (~E(f319(a104,x114331),x114331)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11440,plain, % 219.27/219.59 (~E(f319(a104,x114401),f2(a925))), % 219.27/219.59 inference(rename_variables,[],[4722])). % 219.27/219.59 cnf(11445,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x114451,a923)),x114452),x114452))), % 219.27/219.59 inference(rename_variables,[],[3862])). % 219.27/219.59 cnf(11449,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x114491,a923)),f319(f319(f34(f931(x114492,x114492),f932(x114491,a923)),f299(x114492,x114493)),x114494)),f319(x114494,f319(f319(f244(x114492,x114492),x114495),x114495))))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,3468,10670,4341,4200,11386,4777,11285,4778,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881])). % 219.27/219.59 cnf(11452,plain, % 219.27/219.59 (~E(f319(a104,x114521),x114521)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11455,plain, % 219.27/219.59 (~E(f319(a104,x114551),x114551)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11457,plain, % 219.27/219.59 (~P27(x114571,f932(x114571,a923),x114572,x114573,f319(f300(x114571),x114573))), % 219.27/219.59 inference(scs_inference,[],[4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3468,10670,4341,4200,11386,4777,11285,4778,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899])). % 219.27/219.59 cnf(11460,plain, % 219.27/219.59 (P26(x114601,x114601,f5(x114601),x114602)), % 219.27/219.59 inference(rename_variables,[],[3806])). % 219.27/219.59 cnf(11462,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),x114621),f319(a104,x114621))),f319(f319(f281(a925,a925,a925),a309),f299(a925,a309))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3468,10670,4341,4200,11386,4777,11285,4778,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931])). % 219.27/219.59 cnf(11465,plain, % 219.27/219.59 (~E(f319(f302(x114651,f932(x114651,a923),x114652),x114653),f319(f300(x114651),x114653))), % 219.27/219.59 inference(rename_variables,[],[4759])). % 219.27/219.59 cnf(11470,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x114701,a923)),x114702),f234(f932(x114701,a923))))), % 219.27/219.59 inference(rename_variables,[],[3949])). % 219.27/219.59 cnf(11474,plain, % 219.27/219.59 (P1(f319(f319(f61(f926(x114741),f926(x114741),f150(x114741,x114742)),f105(x114741)),f105(x114741)))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3468,10670,4341,4200,11386,4777,11285,4778,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982])). % 219.27/219.59 cnf(11486,plain, % 219.27/219.59 (~P1(f319(f319(f321(x114861),x114862),f180(f932(x114861,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11488,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,f319(f134(a925,a925,f74(a925),x114881),x114882))),x114881))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,4778,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,11383,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034])). % 219.27/219.59 cnf(11489,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x114891)),x114891))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(11496,plain, % 219.27/219.59 (~P1(f319(f319(f321(x114961),x114962),f180(f932(x114961,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11504,plain, % 219.27/219.59 (~P1(f319(f319(f321(a925),f319(a104,f319(f134(a925,a925,f74(a925),f2(a925)),x115041))),f319(f164(a925),x115041)))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,4778,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,4761,11161,11274,11295,11298,11369,11372,11383,11486,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084])). % 219.27/219.59 cnf(11505,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x115051)),x115051))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(11508,plain, % 219.27/219.59 (~P1(f319(f319(f321(x115081),x115082),f180(f932(x115081,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11521,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(x115211,x115211)),f319(f319(f244(x115211,x115211),x115212),x115212)),f299(x115211,x115213)))), % 219.27/219.59 inference(rename_variables,[],[4200])). % 219.27/219.59 cnf(11524,plain, % 219.27/219.59 (P1(f319(f319(f321(x115241),x115242),f234(f932(x115241,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(11527,plain, % 219.27/219.59 (P1(f319(f319(f321(x115271),x115272),f234(f932(x115271,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(11531,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(f926(x115311),f926(x115311))),f319(f319(f244(f926(x115311),f926(x115311)),f105(x115311)),f105(x115311))),f319(f278(f926(x115311),f926(x115311)),f150(x115311,x115312))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,4778,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257])). % 219.27/219.59 cnf(11534,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x115341),f926(x115341))),f319(f319(f244(f926(x115341),f926(x115341)),x115342),f105(x115341))),f137(x115341,x115343)))), % 219.27/219.59 inference(rename_variables,[],[4777])). % 219.27/219.59 cnf(11537,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x115371),f926(x115371))),f319(f319(f244(f926(x115371),f926(x115371)),x115372),f105(x115371))),f139(x115371,x115373)))), % 219.27/219.59 inference(rename_variables,[],[4778])). % 219.27/219.59 cnf(11540,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x115401),f926(x115401))),f319(f319(f244(f926(x115401),f926(x115401)),x115402),f105(x115401))),f149(x115401,x115403)))), % 219.27/219.59 inference(rename_variables,[],[4779])). % 219.27/219.59 cnf(11542,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x115421),f926(x115421))),f319(f319(f244(f926(x115421),f926(x115421)),f105(x115421)),x115422)),f319(f278(f926(x115421),f926(x115421)),f137(x115421,x115423))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,4769,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305])). % 219.27/219.59 cnf(11545,plain, % 219.27/219.59 (~P1(f319(f319(f227(f932(x115451,a923)),x115452),f180(f932(x115451,a923))))), % 219.27/219.59 inference(rename_variables,[],[4769])). % 219.27/219.59 cnf(11548,plain, % 219.27/219.59 (~P1(f319(f319(f321(x115481),x115482),f180(f932(x115481,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11550,plain, % 219.27/219.59 (~P1(f319(f319(f321(x115501),x115502),f319(f302(x115503,x115501,x115504),f319(f302(x115505,x115503,x115506),f180(f932(x115505,a923))))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331])). % 219.27/219.59 cnf(11554,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x115541,a923)),x115542),f319(f319(f102(f932(x115541,a923)),x115543),f234(f932(x115541,a923)))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360])). % 219.27/219.59 cnf(11555,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x115551,a923)),x115552),f234(f932(x115551,a923))))), % 219.27/219.59 inference(rename_variables,[],[3949])). % 219.27/219.59 cnf(11557,plain, % 219.27/219.59 (~P62(f926(x115571),f150(x115571,x115572))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431])). % 219.27/219.59 cnf(11561,plain, % 219.27/219.59 (~P1(f319(f319(f247(x115611,x115612,a923,f319(f164(x115613),f105(x115613))),x115614),x115615))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,4166,4013,11301,11307,3862,4015,11033,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470])). % 219.27/219.59 cnf(11562,plain, % 219.27/219.59 (~P1(f319(f319(f164(x115621),f105(x115621)),x115622))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(11567,plain, % 219.27/219.59 (~P1(f319(f319(f321(x115671),x115672),f180(f932(x115671,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11570,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x115701,x115701)),f319(f319(f244(x115701,x115701),x115702),x115703)),f145(x115701,f105(f932(x115701,a925)))))), % 219.27/219.59 inference(rename_variables,[],[4776])). % 219.27/219.59 cnf(11573,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x115731,a923)),x115732),x115732))), % 219.27/219.59 inference(rename_variables,[],[3862])). % 219.27/219.59 cnf(11576,plain, % 219.27/219.59 (~P1(f319(f319(f321(x115761),x115762),f180(f932(x115761,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11578,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x115781,a923)),f319(f277(x115782,x115781,f180(f932(f931(x115782,x115781),a923))),x115783)),x115784))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537])). % 219.27/219.59 cnf(11579,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x115791,a923)),f180(f932(x115791,a923))),x115792))), % 219.27/219.59 inference(rename_variables,[],[4015])). % 219.27/219.59 cnf(11582,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(x115821,x115821)),f319(f319(f244(x115821,x115821),x115822),x115822)),f299(x115821,x115823)))), % 219.27/219.59 inference(rename_variables,[],[4200])). % 219.27/219.59 cnf(11584,plain, % 219.27/219.59 (~P35(x115841,x115842,x115843,f319(f319(f146(x115844,x115841),x115845),f319(a104,f105(x115844))),f105(x115842))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545])). % 219.27/219.59 cnf(11586,plain, % 219.27/219.59 (~E(f319(f319(f93(f932(f931(f926(x115861),f926(x115861)),a923)),f319(f278(f926(x115861),f926(x115861)),f150(x115861,x115862))),f299(f926(x115861),f150(x115861,x115862))),f180(f932(f931(f926(x115861),f926(x115861)),a923)))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568])). % 219.27/219.59 cnf(11588,plain, % 219.27/219.59 (P35(x115881,x115882,x115883,f319(f319(f146(x115884,x115881),x115885),f106(x115884,f105(x115884))),f105(x115882))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569])). % 219.27/219.59 cnf(11592,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x115921),f926(x115921))),f319(f319(f244(f926(x115921),f926(x115921)),x115922),f105(x115921))),f319(f278(f926(x115921),f926(x115921)),f149(x115921,x115923))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,11540,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661])). % 219.27/219.59 cnf(11593,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x115931),f926(x115931))),f319(f319(f244(f926(x115931),f926(x115931)),x115932),f105(x115931))),f149(x115931,x115933)))), % 219.27/219.59 inference(rename_variables,[],[4779])). % 219.27/219.59 cnf(11599,plain, % 219.27/219.59 (~P1(f319(f319(f321(f926(x115991)),f105(x115991)),f319(f256(f926(x115991),f926(x115991)),f137(x115991,x115992))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,11540,4780,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702])). % 219.27/219.59 cnf(11600,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x116001),f926(x116001))),f319(f319(f244(f926(x116001),f926(x116001)),f105(x116001)),x116002)),f137(x116001,x116003)))), % 219.27/219.59 inference(rename_variables,[],[4780])). % 219.27/219.59 cnf(11605,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f932(x116051,a923),f932(x116051,a923))),f319(f319(f244(f932(x116051,a923),f932(x116051,a923)),x116052),f180(f932(x116051,a923)))),f306(x116051)))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,11540,4780,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704])). % 219.27/219.59 cnf(11608,plain, % 219.27/219.59 (P1(f319(f319(f321(x116081),x116082),f234(f932(x116081,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(11613,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x116131,a923)),f180(f932(x116131,a923))),x116132))), % 219.27/219.59 inference(rename_variables,[],[4015])). % 219.27/219.59 cnf(11616,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116161),x116162),f180(f932(x116161,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11619,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x116191),f319(a104,x116191)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(11622,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x116221,a923)),x116222),f234(f932(x116221,a923))))), % 219.27/219.59 inference(rename_variables,[],[3949])). % 219.27/219.59 cnf(11624,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(f931(x116241,x116241),a923)),f319(f319(f281(x116241,x116241,x116241),f255(x116241,x116242)),f299(x116241,f255(x116241,x116242)))),f319(f319(f246(x116241,x116241),x116242),f319(f16(f932(x116241,a923),x116241),x116242))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,11540,4780,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,11527,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786])). % 219.27/219.59 cnf(11626,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x116261,a923)),f319(f277(x116262,x116261,x116263),f180(f932(x116262,a923)))),x116264))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,11540,4780,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,11527,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811])). % 219.27/219.59 cnf(11627,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x116271,a923)),f180(f932(x116271,a923))),x116272))), % 219.27/219.59 inference(rename_variables,[],[4015])). % 219.27/219.59 cnf(11629,plain, % 219.27/219.59 (~P1(f319(f60(a925,x116291,x116292,x116293,f234(f932(a925,a923))),x116294))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,4779,11540,4780,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,3722,10875,10966,11238,11282,11524,11527,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,3632,10997,11027,11036,11039,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832])). % 219.27/219.59 cnf(11640,plain, % 219.27/219.59 (P1(f319(f234(f932(x116401,a923)),x116402))), % 219.27/219.59 inference(rename_variables,[],[3632])). % 219.27/219.59 cnf(11648,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x116481),f926(x116481))),f319(f319(f244(f926(x116481),f926(x116481)),x116482),f105(x116481))),f137(x116481,x116483)))), % 219.27/219.59 inference(rename_variables,[],[4777])). % 219.27/219.59 cnf(11651,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x116511),f926(x116511))),f319(f319(f244(f926(x116511),f926(x116511)),x116512),f105(x116511))),f139(x116511,x116513)))), % 219.27/219.59 inference(rename_variables,[],[4778])). % 219.27/219.59 cnf(11654,plain, % 219.27/219.59 (~E(f319(f319(f143(x116541),x116542),x116543),x116543)), % 219.27/219.59 inference(rename_variables,[],[4730])). % 219.27/219.59 cnf(11657,plain, % 219.27/219.59 (~E(f319(a104,x116571),x116571)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11660,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x116601),x116601))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(11662,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116621),x116622),f319(f277(x116623,x116621,x116624),f180(f932(x116623,a923)))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,11537,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957])). % 219.27/219.59 cnf(11663,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116631),x116632),f180(f932(x116631,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11665,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116651),x116652),f319(f277(x116653,x116651,x116654),f319(f277(x116655,x116653,x116656),f180(f932(x116655,a923))))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,4778,11419,11537,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958])). % 219.27/219.59 cnf(11668,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116681),x116682),f180(f932(x116681,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11671,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116711),x116712),f180(f932(x116711,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11674,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(f926(x116741),f926(x116741))),f319(f319(f244(f926(x116741),f926(x116741)),x116742),x116742)),f150(x116741,f299(x116741,x116743))))), % 219.27/219.59 inference(rename_variables,[],[4334])). % 219.27/219.59 cnf(11677,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x116771),f926(x116771))),f319(f319(f244(f926(x116771),f926(x116771)),x116772),f105(x116771))),f137(x116771,x116773)))), % 219.27/219.59 inference(rename_variables,[],[4777])). % 219.27/219.59 cnf(11679,plain, % 219.27/219.59 (E(f319(f319(f143(x116791),f675(f299(x116791,x116792),f319(f319(f143(x116791),x116793),x116794),x116794,x116793,x116791)),f676(f299(x116791,x116792),f319(f319(f143(x116791),x116793),x116794),x116794,x116793,x116791)),f319(f319(f143(x116791),x116793),x116794))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,11648,4778,11419,11537,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4334,11674,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022])). % 219.27/219.59 cnf(11685,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x116851,x116851)),f319(f319(f244(x116851,x116851),x116852),x116853)),f145(x116851,f105(f932(x116851,a925)))))), % 219.27/219.59 inference(rename_variables,[],[4776])). % 219.27/219.59 cnf(11688,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116881),x116882),f180(f932(x116881,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11691,plain, % 219.27/219.59 (~P1(f319(f319(f321(x116911),x116912),f180(f932(x116911,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11694,plain, % 219.27/219.59 (P1(f319(f319(f321(x116941),x116942),f234(f932(x116941,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(11697,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x116971),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(11701,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x117011),f926(x117011))),f319(f319(f244(f926(x117011),f926(x117011)),x117012),x117013)),f149(x117011,f145(x117011,f105(f932(x117011,a925))))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,11648,4778,11419,11537,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4334,11674,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,11570,11685,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162])). % 219.27/219.59 cnf(11702,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x117021,x117021)),f319(f319(f244(x117021,x117021),x117022),x117023)),f145(x117021,f105(f932(x117021,a925)))))), % 219.27/219.59 inference(rename_variables,[],[4776])). % 219.27/219.59 cnf(11710,plain, % 219.27/219.59 (~E(f319(f250(x117101,x117102,x117103,x117103,f302(x117104,f932(x117104,a923),x117105),f25(x117103)),x117106),f319(f250(x117101,x117102,x117103,x117103,f300(x117104),f25(x117103)),x117106))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,11465,3675,3468,10670,4341,4200,11386,11521,4777,11285,11534,11648,4778,11419,11537,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4334,11674,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,3574,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,11570,11685,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213])). % 219.27/219.59 cnf(11711,plain, % 219.27/219.59 (~E(f319(f302(x117111,f932(x117111,a923),x117112),x117113),f319(f300(x117111),x117113))), % 219.27/219.59 inference(rename_variables,[],[4759])). % 219.27/219.59 cnf(11714,plain, % 219.27/219.59 (~E(f319(f302(x117141,f932(x117141,a923),x117142),x117143),f319(f300(x117141),x117143))), % 219.27/219.59 inference(rename_variables,[],[4759])). % 219.27/219.59 cnf(11717,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x117171),f926(x117171))),f319(f319(f244(f926(x117171),f926(x117171)),x117172),f105(x117171))),f137(x117171,x117173)))), % 219.27/219.59 inference(rename_variables,[],[4777])). % 219.27/219.59 cnf(11723,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(f926(x117231),f926(x117231))),f319(f319(f244(f926(x117231),f926(x117231)),x117232),f105(x117231))),f137(x117231,x117233)))), % 219.27/219.59 inference(rename_variables,[],[4777])). % 219.27/219.59 cnf(11726,plain, % 219.27/219.59 (~P1(f319(f319(f321(x117261),x117262),f180(f932(x117261,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11729,plain, % 219.27/219.59 (~P1(f319(f319(f321(x117291),x117292),f180(f932(x117291,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11731,plain, % 219.27/219.59 (P1(f319(f319(f321(f931(x117311,x117312)),f319(f319(f244(x117311,x117312),f319(x117313,x117314)),f319(x117315,x117314))),f319(f302(f931(x117316,x117316),f931(x117311,x117312),f250(x117316,x117311,x117316,x117312,x117313,x117315)),f299(x117316,x117317))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,11465,11711,3675,3468,10670,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4334,11674,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,3574,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,11570,11685,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349])). % 219.27/219.59 cnf(11733,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x117331,x117332)),x117333),f319(f319(f281(x117331,x117334,x117332),f180(f932(f931(x117331,x117334),a923))),x117335)))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,11465,11711,3675,3468,10670,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4334,11674,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,3574,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,11570,11685,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437])). % 219.27/219.59 cnf(11734,plain, % 219.27/219.59 (~P1(f319(f319(f321(x117341),x117342),f180(f932(x117341,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11737,plain, % 219.27/219.59 (~P1(f319(f319(f321(x117371),x117372),f180(f932(x117371,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11740,plain, % 219.27/219.59 (~P1(f319(f319(f321(x117401),x117402),f180(f932(x117401,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11743,plain, % 219.27/219.59 (~P1(f319(f319(f321(x117431),x117432),f180(f932(x117431,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11746,plain, % 219.27/219.59 (P1(f319(f319(f321(x117461),f319(x117462,x117463)),f319(f302(x117464,x117461,x117462),f234(f932(x117464,a923)))))), % 219.27/219.59 inference(rename_variables,[],[4166])). % 219.27/219.59 cnf(11748,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x117481,x117482)),x117483),f319(f302(f931(x117484,x117484),f931(x117481,x117482),f250(x117484,x117481,x117484,x117482,x117485,x117486)),f145(x117484,f105(f932(x117484,a925))))))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,4722,10770,10870,11340,3368,3418,3533,10609,10612,10705,10708,3510,4025,3408,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,4759,11366,11465,11711,3675,3468,10670,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,4018,3556,4754,10577,10580,10606,10730,10905,11115,11128,11243,4765,4005,3775,4148,3599,3601,3575,4751,4724,4334,11674,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,3574,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4771,10896,4776,11375,11378,11570,11685,11702,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521])). % 219.27/219.59 cnf(11749,plain, % 219.27/219.59 (~P1(f319(f319(f321(f931(x117491,x117491)),f319(f319(f244(x117491,x117491),x117492),x117493)),f145(x117491,f105(f932(x117491,a925)))))), % 219.27/219.59 inference(rename_variables,[],[4776])). % 219.27/219.59 cnf(11757,plain, % 219.27/219.59 (E(f106(x117571,f105(x117571)),f105(x117571))), % 219.27/219.59 inference(rename_variables,[],[3418])). % 219.27/219.59 cnf(11760,plain, % 219.27/219.59 (~E(f319(a104,x117601),x117601)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11767,plain, % 219.27/219.59 (~E(f319(a104,x117671),x117671)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11772,plain, % 219.27/219.59 (E(f319(f276(x117721,x117721),f255(x117721,x117722)),x117722)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(11775,plain, % 219.27/219.59 (E(f319(f276(x117751,x117751),f255(x117751,x117752)),x117752)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(11781,plain, % 219.27/219.59 (~E(f319(a104,x117811),x117811)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11786,plain, % 219.27/219.59 (~E(f319(f319(f74(a1),x117861),x117861),a89)), % 219.27/219.59 inference(rename_variables,[],[4727])). % 219.27/219.59 cnf(11793,plain, % 219.27/219.59 (E(f319(f319(f23(a925),f2(a925)),x117931),f2(a925))), % 219.27/219.59 inference(rename_variables,[],[3489])). % 219.27/219.59 cnf(11796,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x117961),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(11803,plain, % 219.27/219.59 (E(f319(f319(f74(a1),f319(f319(f75(a1),x118031),f319(f319(f30(a1),x118032),x118031))),f39(a1,x118032,x118031)),x118032)), % 219.27/219.59 inference(rename_variables,[],[4116])). % 219.27/219.59 cnf(11827,plain, % 219.27/219.59 (~E(f319(a104,x118271),x118271)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11830,plain, % 219.27/219.59 (~E(f319(a104,x118301),x118301)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11852,plain, % 219.27/219.59 (~E(f319(a104,x118521),x118521)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11855,plain, % 219.27/219.59 (~E(f319(f319(f143(x118551),x118552),x118553),x118553)), % 219.27/219.59 inference(rename_variables,[],[4730])). % 219.27/219.59 cnf(11862,plain, % 219.27/219.59 (~P1(f319(f319(f164(x118621),f105(x118621)),x118622))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(11868,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),f2(a925)),f319(a104,x118681)))), % 219.27/219.59 inference(rename_variables,[],[3651])). % 219.27/219.59 cnf(11869,plain, % 219.27/219.59 (~E(f319(a104,x118691),x118691)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11872,plain, % 219.27/219.59 (P1(f319(f319(f321(x118721),x118722),f234(f932(x118721,a923))))), % 219.27/219.59 inference(rename_variables,[],[3722])). % 219.27/219.59 cnf(11884,plain, % 219.27/219.59 (~E(f319(a104,x118841),x118841)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11887,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x118871),x118871))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(11894,plain, % 219.27/219.59 (P1(f319(f60(x118941,x118942,x118943,x118944,f180(f932(x118941,a923))),x118944))), % 219.27/219.59 inference(rename_variables,[],[4476])). % 219.27/219.59 cnf(11895,plain, % 219.27/219.59 (E(f319(f276(x118951,x118951),f255(x118951,x118952)),x118952)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(11908,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x119081),x119082)),x119082))), % 219.27/219.59 inference(rename_variables,[],[4772])). % 219.27/219.59 cnf(11911,plain, % 219.27/219.59 (~P1(f319(f319(f227(a1),f319(f92(a1),x119111)),f2(a1)))), % 219.27/219.59 inference(rename_variables,[],[4765])). % 219.27/219.59 cnf(11923,plain, % 219.27/219.59 (~E(f319(f319(f143(x119231),x119232),f319(f319(f126(x119231),f106(x119231,f105(x119231))),x119233)),x119233)), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,3493,4722,10770,10870,11340,3183,3189,3193,3194,3196,3199,3204,3206,3234,3235,3241,3261,3262,3263,3285,3286,3297,3331,3338,3464,3368,4714,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,3510,4025,3408,4116,11803,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,11654,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,4018,3556,3651,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,4765,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,11230,3574,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,11505,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,10994,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569])). % 219.27/219.59 cnf(11927,plain, % 219.27/219.59 (~E(f319(f319(f93(a925),f319(a104,x119271)),x119271),f319(a104,x119271))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,3493,4722,10770,10870,11340,3183,3189,3193,3194,3196,3199,3204,3206,3209,3212,3234,3235,3241,3261,3262,3263,3285,3286,3297,3331,3338,3464,3368,4714,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,3510,4025,3408,4116,11803,3470,3404,3431,3414,4037,3628,11183,3503,4198,4730,10600,10767,11654,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,4018,3556,3651,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,4765,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,11230,3574,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,3632,10997,11027,11036,11039,11042,3664,4084,4023,10649,4758,10597,10985,10988,11489,11505,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,10994,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575])). % 219.27/219.59 cnf(11934,plain, % 219.27/219.59 (E(f319(f276(x119341,x119341),f255(x119341,x119342)),x119342)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(11939,plain, % 219.27/219.59 (E(f319(f276(x119391,x119391),f255(x119391,x119392)),x119392)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(11942,plain, % 219.27/219.59 (~P1(f319(f319(f227(a1),f319(f92(a1),x119421)),f2(a1)))), % 219.27/219.59 inference(rename_variables,[],[4765])). % 219.27/219.59 cnf(11947,plain, % 219.27/219.59 (~E(f319(a104,x119471),x119471)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(11956,plain, % 219.27/219.59 (~P1(f319(f319(f164(x119561),f105(x119561)),x119562))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(11977,plain, % 219.27/219.59 (~P1(f319(f319(f227(a1),f319(f92(a1),x119771)),f2(a1)))), % 219.27/219.59 inference(rename_variables,[],[4765])). % 219.27/219.59 cnf(11980,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x119801),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(11981,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x119811),f319(a104,x119811)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(11984,plain, % 219.27/219.59 (~P1(f319(f319(f227(a1),f319(f92(a1),x119841)),f2(a1)))), % 219.27/219.59 inference(rename_variables,[],[4765])). % 219.27/219.59 cnf(11986,plain, % 219.27/219.59 (~P16(x119861,f321(f932(x119862,a923)))), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,3493,4722,10770,10870,11340,3183,3189,3190,3193,3194,3196,3199,3204,3206,3209,3210,3212,3213,3234,3235,3241,3261,3262,3263,3285,3286,3297,3331,3338,3464,3368,4714,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,3510,4025,3408,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,4018,3556,3651,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,4765,11911,11942,11977,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,3573,10725,10781,11015,11110,11230,3574,4750,10617,10646,11152,11194,11203,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,4758,10597,10985,10988,11489,11505,3593,11030,11188,4382,4755,4092,4742,4745,3549,3553,4744,4743,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,4775,10789,4437,4345,4046,4772,10622,10625,10991,10994,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735])). % 219.27/219.59 cnf(11987,plain, % 219.27/219.59 (~P1(f319(f319(f321(x119871),x119872),f180(f932(x119871,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(11988,plain, % 219.27/219.59 (P1(f319(f319(f321(f932(x119881,a923)),x119882),f319(f300(x119881),x119882)))), % 219.27/219.59 inference(rename_variables,[],[3932])). % 219.27/219.59 cnf(12003,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x120031)),x120031))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12004,plain, % 219.27/219.59 (~E(f319(a104,x120041),x120041)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(12014,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x120141),x120142)),x120141))), % 219.27/219.59 inference(rename_variables,[],[4773])). % 219.27/219.59 cnf(12017,plain, % 219.27/219.59 (~P1(f319(f319(f227(a1),f319(f92(a1),x120171)),f2(a1)))), % 219.27/219.59 inference(rename_variables,[],[4765])). % 219.27/219.59 cnf(12020,plain, % 219.27/219.59 (~E(f319(a104,x120201),x120201)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(12033,plain, % 219.27/219.59 (P1(f319(f319(f321(x120331),x120332),f319(f319(f301(x120331),x120332),x120333)))), % 219.27/219.59 inference(rename_variables,[],[3878])). % 219.27/219.59 cnf(12034,plain, % 219.27/219.59 (~P1(f319(f319(f226(a1),f2(a1)),f319(f73(a1),f319(f92(a1),f319(a104,x120341)))))), % 219.27/219.59 inference(rename_variables,[],[4774])). % 219.27/219.59 cnf(12037,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),f319(f319(f23(a925),x120371),x120372)),f319(a104,x120371)))), % 219.27/219.59 inference(rename_variables,[],[4018])). % 219.27/219.59 cnf(12040,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f39(a925,x120401,x120402)),x120401))), % 219.27/219.59 inference(rename_variables,[],[4023])). % 219.27/219.59 cnf(12046,plain, % 219.27/219.59 (E(f319(f276(x120461,x120461),f255(x120461,x120462)),x120462)), % 219.27/219.59 inference(rename_variables,[],[3533])). % 219.27/219.59 cnf(12051,plain, % 219.27/219.59 (E(f319(f319(f126(x120511),f161(x120511,x120512,x120513)),f161(x120511,x120514,x120513)),f319(f319(f126(x120511),f161(x120511,x120514,x120513)),f161(x120511,x120512,x120513)))), % 219.27/219.59 inference(rename_variables,[],[4130])). % 219.27/219.59 cnf(12056,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x120561)),x120561))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12065,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x120651),x120651))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(12068,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f39(a925,x120681,x120682)),x120681))), % 219.27/219.59 inference(rename_variables,[],[4023])). % 219.27/219.59 cnf(12069,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f2(a925)),x120691))), % 219.27/219.59 inference(rename_variables,[],[3593])). % 219.27/219.59 cnf(12086,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x120861),x120861))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(12089,plain, % 219.27/219.59 (P1(f319(f319(f321(x120891),f319(x120892,x120893)),f319(f302(x120894,x120891,x120892),f234(f932(x120894,a923)))))), % 219.27/219.59 inference(rename_variables,[],[4166])). % 219.27/219.59 cnf(12090,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x120901)),x120901))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12093,plain, % 219.27/219.59 (P1(f319(f319(f321(x120931),f319(x120932,x120933)),f319(f302(x120934,x120931,x120932),f234(f932(x120934,a923)))))), % 219.27/219.59 inference(rename_variables,[],[4166])). % 219.27/219.59 cnf(12094,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x120941),x120942)),x120942))), % 219.27/219.59 inference(rename_variables,[],[4772])). % 219.27/219.59 cnf(12099,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x120991),x120992)),x120991))), % 219.27/219.59 inference(rename_variables,[],[4773])). % 219.27/219.59 cnf(12102,plain, % 219.27/219.59 (~P1(f319(f319(f164(x121021),f105(x121021)),x121022))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(12105,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x121051),x121051))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(12107,plain, % 219.27/219.59 (E(f319(f319(f75(a925),x121071),f319(f319(f30(a925),x121071),x121071)),x121071)), % 219.27/219.59 inference(scs_inference,[],[3806,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3189,3190,3193,3194,3196,3199,3204,3206,3209,3210,3212,3213,3234,3235,3241,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,4765,11911,11942,11977,11984,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,3573,10725,10781,11015,11110,11230,3574,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,4758,10597,10985,10988,11489,11505,12003,12056,3593,11030,11188,11258,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146])). % 219.27/219.59 cnf(12113,plain, % 219.27/219.59 (~P36(x121131,x121132,f105(x121131))), % 219.27/219.59 inference(rename_variables,[],[4737])). % 219.27/219.59 cnf(12116,plain, % 219.27/219.59 (P1(f319(f319(f321(x121161),x121162),f319(f319(f301(x121161),x121162),x121163)))), % 219.27/219.59 inference(rename_variables,[],[3878])). % 219.27/219.59 cnf(12128,plain, % 219.27/219.59 (E(f319(f29(x121281),f319(f319(f301(x121281),x121282),f180(f932(x121281,a923)))),f319(a104,f319(f29(x121281),f180(f932(x121281,a923)))))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3189,3190,3193,3194,3196,3199,3204,3206,3209,3210,3212,3213,3234,3235,3241,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,4765,11911,11942,11977,11984,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,3573,10725,10781,11015,11110,11230,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,4758,10597,10985,10988,11489,11505,12003,12056,3593,11030,11188,11258,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201])). % 219.27/219.59 cnf(12129,plain, % 219.27/219.59 (~P1(f319(f319(f321(x121291),x121292),f180(f932(x121291,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(12132,plain, % 219.27/219.59 (E(f319(f319(f16(x121321,x121322),x121323),x121324),x121323)), % 219.27/219.59 inference(rename_variables,[],[3563])). % 219.27/219.59 cnf(12135,plain, % 219.27/219.59 (E(f319(f319(f16(x121351,x121352),x121353),x121354),x121353)), % 219.27/219.59 inference(rename_variables,[],[3563])). % 219.27/219.59 cnf(12147,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),f2(a925)),f319(a104,x121471)))), % 219.27/219.59 inference(rename_variables,[],[3651])). % 219.27/219.59 cnf(12150,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x121501),x121501))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(12153,plain, % 219.27/219.59 (P1(f319(f55(x121531),f319(f164(x121531),x121532)))), % 219.27/219.59 inference(rename_variables,[],[3611])). % 219.27/219.59 cnf(12156,plain, % 219.27/219.59 (P1(f319(f55(x121561),f319(f164(x121561),x121562)))), % 219.27/219.59 inference(rename_variables,[],[3611])). % 219.27/219.59 cnf(12159,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),f319(f73(a1),f319(f92(a1),x121591))),f319(f92(a1),x121592)))), % 219.27/219.59 inference(rename_variables,[],[4047])). % 219.27/219.59 cnf(12162,plain, % 219.27/219.59 (~P1(f319(f319(f321(x121621),x121622),f180(f932(x121621,a923))))), % 219.27/219.59 inference(rename_variables,[],[4761])). % 219.27/219.59 cnf(12176,plain, % 219.27/219.59 (~P1(f319(f319(f321(a925),f2(a925)),f319(f296(a925),x121761)))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3204,3206,3209,3210,3212,3213,3234,3235,3241,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,4765,11911,11942,11977,11984,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,3573,10725,10781,11015,11110,11230,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,4758,10597,10985,10988,11489,11505,12003,12056,12090,3593,11030,11188,11258,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370])). % 219.27/219.59 cnf(12180,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),f39(a925,x121801,f180(a925))),x121801))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3204,3206,3209,3210,3212,3213,3234,3235,3241,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,4765,11911,11942,11977,11984,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,3573,10725,10781,11015,11110,11230,11887,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,4758,10597,10985,10988,11489,11505,12003,12056,12090,3593,11030,11188,11258,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401])). % 219.27/219.59 cnf(12181,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x121811),x121811))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(12184,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x121841),x121841))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(12195,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x121951),x121951))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(12198,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x121981),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(12203,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x122031),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(12212,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f2(a925)),x122121))), % 219.27/219.59 inference(rename_variables,[],[3593])). % 219.27/219.59 cnf(12213,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x122131)),x122131))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12215,plain, % 219.27/219.59 (E(f319(f319(f74(a925),f2(a925)),f357(f2(a925),x122151,f319(f164(x122152),f105(x122152)))),x122151)), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,3573,10725,10781,11015,11110,11230,11887,12181,12184,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598])). % 219.27/219.59 cnf(12216,plain, % 219.27/219.59 (~P1(f319(f319(f164(x122161),f105(x122161)),x122162))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(12218,plain, % 219.27/219.59 (E(f319(f319(f74(a925),f2(a925)),f358(f2(a925),x122181,f319(f164(x122182),f105(x122182)))),x122181)), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,3573,10725,10781,11015,11110,11230,11887,12181,12184,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599])). % 219.27/219.59 cnf(12219,plain, % 219.27/219.59 (~P1(f319(f319(f164(x122191),f105(x122191)),x122192))), % 219.27/219.59 inference(rename_variables,[],[4757])). % 219.27/219.59 cnf(12222,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x122221),f2(a925)))), % 219.27/219.59 inference(rename_variables,[],[4754])). % 219.27/219.59 cnf(12223,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x122231),f319(a104,x122231)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(12235,plain, % 219.27/219.59 (~P1(f319(f319(f227(a1),f319(f92(a1),f319(a104,x122351))),f319(f73(a1),f2(a1))))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,3573,10725,10781,11015,11110,11230,11887,12181,12184,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660])). % 219.27/219.59 cnf(12239,plain, % 219.27/219.59 (P1(f319(f319(f227(a1),f319(f73(a1),f72(a1))),f2(a1)))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,3573,10725,10781,11015,11110,11230,11887,12181,12184,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676])). % 219.27/219.59 cnf(12242,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x122421)),x122421))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12245,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x122451)),x122451))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12248,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x122481)),x122481))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12251,plain, % 219.27/219.59 (~P1(f319(f319(f226(a925),f319(a104,x122511)),x122511))), % 219.27/219.59 inference(rename_variables,[],[4758])). % 219.27/219.59 cnf(12253,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),f319(f319(f102(a925),x122531),x122532)),x122532))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,3573,10725,10781,11015,11110,11230,11887,12181,12184,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685])). % 219.27/219.59 cnf(12254,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x122541),x122541))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(12257,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x122571),x122571))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(12260,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x122601),x122601))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(12263,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x122631),x122631))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(12280,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x122801),x122801))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(12283,plain, % 219.27/219.59 (P26(a925,a925,a104,x122831)), % 219.27/219.59 inference(rename_variables,[],[3774])). % 219.27/219.59 cnf(12285,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x122851),f319(f69(a1),x122851)))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3774,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775])). % 219.27/219.59 cnf(12286,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x122861),x122861))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(12297,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x122971),x122971))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(12299,plain, % 219.27/219.59 (P1(f319(f299(f926(x122991),f149(x122991,x122992)),f319(f319(f244(f926(x122991),f926(x122991)),f105(x122991)),f105(x122991))))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,3774,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,3932,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823])). % 219.27/219.59 cnf(12300,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(f931(f926(x123001),f926(x123001)),a923)),f150(x123001,x123002)),f299(f926(x123001),f149(x123001,x123002))))), % 219.27/219.59 inference(rename_variables,[],[4262])). % 219.27/219.59 cnf(12307,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),x123071),f319(a104,x123071)))), % 219.27/219.59 inference(rename_variables,[],[3639])). % 219.27/219.59 cnf(12310,plain, % 219.27/219.59 (P1(f319(f319(f321(f932(x123101,a923)),x123102),f319(f300(x123101),x123102)))), % 219.27/219.59 inference(rename_variables,[],[3932])). % 219.27/219.59 cnf(12311,plain, % 219.27/219.59 (~E(f319(a104,x123111),x123111)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(12316,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x123161),x123161))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(12320,plain, % 219.27/219.59 (P1(f319(f319(f227(a925),f319(a96,f2(a1))),f319(a96,f72(a1))))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,3774,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,3932,11988,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881])). % 219.27/219.59 cnf(12321,plain, % 219.27/219.59 (P1(f319(f319(f226(a1),x123211),x123211))), % 219.27/219.59 inference(rename_variables,[],[3573])). % 219.27/219.59 cnf(12328,plain, % 219.27/219.59 (P1(f319(f55(a925),f297(a925,x123281,x123282)))), % 219.27/219.59 inference(rename_variables,[],[3776])). % 219.27/219.59 cnf(12335,plain, % 219.27/219.59 (P1(f319(f319(f226(f932(x123351,a923)),x123352),f319(f319(f301(x123351),x123353),x123352)))), % 219.27/219.59 inference(rename_variables,[],[4013])). % 219.27/219.59 cnf(12338,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),x123381),x123381))), % 219.27/219.59 inference(rename_variables,[],[3572])). % 219.27/219.59 cnf(12339,plain, % 219.27/219.59 (~E(f319(a104,x123391),x123391)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(12352,plain, % 219.27/219.59 (~P1(f319(f319(f227(a925),x123521),x123521))), % 219.27/219.59 inference(rename_variables,[],[4750])). % 219.27/219.59 cnf(12353,plain, % 219.27/219.59 (~E(f319(a104,x123531),x123531)), % 219.27/219.59 inference(rename_variables,[],[4716])). % 219.27/219.59 cnf(12355,plain, % 219.27/219.59 (P1(f319(f319(f226(a925),f319(f319(f224(a925),x123551),x123552)),x123552))), % 219.27/219.59 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,3774,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,3932,11988,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014])). % 219.27/219.60 cnf(12356,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x123561),x123561))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12359,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x123591),x123591))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12361,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),f319(f319(f93(a925),x123611),x123612)),x123612))), % 219.27/219.60 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,3774,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,4025,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,3932,11988,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018])). % 219.27/219.60 cnf(12362,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x123621),x123621))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12365,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x123651),x123651))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12368,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),x123681),x123681))), % 219.27/219.60 inference(rename_variables,[],[3573])). % 219.27/219.60 cnf(12371,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x123711),x123711))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12374,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x123741),x123741))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12375,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x123751),f319(a104,x123751)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(12382,plain, % 219.27/219.60 (~E(f319(a104,x123821),x123821)), % 219.27/219.60 inference(rename_variables,[],[4716])). % 219.27/219.60 cnf(12387,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x123871),x123871))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12388,plain, % 219.27/219.60 (~E(f319(a104,x123881),x123881)), % 219.27/219.60 inference(rename_variables,[],[4716])). % 219.27/219.60 cnf(12391,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),x123911),x123911))), % 219.27/219.60 inference(rename_variables,[],[3573])). % 219.27/219.60 cnf(12393,plain, % 219.27/219.60 (~P1(f319(f319(f226(a925),f319(a96,f72(a1))),f319(a96,f2(a1))))), % 219.27/219.60 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,3774,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,3932,11988,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,4047,4382,4755,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,48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% 219.27/219.60 cnf(12408,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),x124081),x124081))), % 219.27/219.60 inference(rename_variables,[],[3573])). % 219.27/219.60 cnf(12413,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),f2(a925)),x124131))), % 219.27/219.60 inference(rename_variables,[],[3593])). % 219.27/219.60 cnf(12429,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x124291),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(12432,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x124321),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(12435,plain, % 219.27/219.60 (~P1(f319(f319(f321(x124351),x124352),f180(f932(x124351,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12438,plain, % 219.27/219.60 (~P1(f319(f319(f321(x124381),x124382),f180(f932(x124381,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12441,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x124411),x124411))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12443,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x124431),f319(f319(f93(a925),x124431),x124432)))), % 219.27/219.60 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,3774,3493,4722,10770,10870,11340,3182,3183,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,4018,12037,3556,3651,11868,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,3932,11988,4291,3949,10733,10830,11392,11470,11555,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,1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% 219.27/219.60 cnf(12444,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x124441),x124441))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12447,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x124471),x124471))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12450,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x124501),x124501))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12453,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x124531),f319(a104,x124531)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(12460,plain, % 219.27/219.60 (P1(f319(f319(f321(f932(x124601,a923)),x124602),f319(f300(x124601),x124602)))), % 219.27/219.60 inference(rename_variables,[],[3932])). % 219.27/219.60 cnf(12465,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x124651,a923)),x124652),f319(f319(f301(x124651),x124653),x124652)))), % 219.27/219.60 inference(rename_variables,[],[4013])). % 219.27/219.60 cnf(12472,plain, % 219.27/219.60 (~P1(f319(f319(f321(x124721),x124722),f180(f932(x124721,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12481,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x124811,a923)),x124812),f234(f932(x124811,a923))))), % 219.27/219.60 inference(rename_variables,[],[3949])). % 219.27/219.60 cnf(12482,plain, % 219.27/219.60 (~E(f319(a104,x124821),x124821)), % 219.27/219.60 inference(rename_variables,[],[4716])). % 219.27/219.60 cnf(12485,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x124851,a923)),f319(f164(x124851),f319(f128(x124851,x124852),x124853))),f319(f164(x124851),x124853)))), % 219.27/219.60 inference(rename_variables,[],[4209])). % 219.27/219.60 cnf(12491,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x124911),f319(a104,x124911)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(12499,plain, % 219.27/219.60 (~P1(f319(f319(f321(f931(x124991,x124991)),x124992),f145(x124991,f105(f932(x124991,a925)))))), % 219.27/219.60 inference(scs_inference,[],[3806,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,3932,11988,12310,4291,3949,10733,10830,11392,11470,11555,11622,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,3647,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488])). % 219.27/219.60 cnf(12500,plain, % 219.27/219.60 (E(f319(f276(x125001,x125001),f255(x125001,x125002)),x125002)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12511,plain, % 219.27/219.60 (~P1(f319(f319(f226(a925),f319(a104,x125111)),x125111))), % 219.27/219.60 inference(rename_variables,[],[4758])). % 219.27/219.60 cnf(12512,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x125121),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(12515,plain, % 219.27/219.60 (P1(f319(f55(x125151),f180(f932(x125151,a923))))), % 219.27/219.60 inference(rename_variables,[],[3647])). % 219.27/219.60 cnf(12516,plain, % 219.27/219.60 (~P1(f319(f319(f321(x125161),x125162),f180(f932(x125161,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12523,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x125231,a923)),f319(f164(x125231),f168(x125231,x125232,x125233))),f319(f164(x125231),x125232)))), % 219.27/219.60 inference(rename_variables,[],[4257])). % 219.27/219.60 cnf(12526,plain, % 219.27/219.60 (P26(x125261,x125261,f5(x125261),x125262)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12531,plain, % 219.27/219.60 (P1(f319(f319(f321(f932(x125311,a923)),x125312),f319(f300(x125311),x125312)))), % 219.27/219.60 inference(rename_variables,[],[3932])). % 219.27/219.60 cnf(12538,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x125381),x125381))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12541,plain, % 219.27/219.60 (~P1(f319(f319(f321(x125411),x125412),f180(f932(x125411,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12544,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x125441,a923)),x125442),f319(f319(f301(x125441),x125443),x125442)))), % 219.27/219.60 inference(rename_variables,[],[4013])). % 219.27/219.60 cnf(12545,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x125451,a923)),x125452),f234(f932(x125451,a923))))), % 219.27/219.60 inference(rename_variables,[],[3949])). % 219.27/219.60 cnf(12552,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x125521),x125521))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12555,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x125551),x125551))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12558,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x125581),x125581))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12561,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x125611),x125611))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12563,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x125631),f319(a104,f319(f319(f225(a925),x125632),x125631))))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,11389,3932,11988,12310,12460,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815])). % 219.27/219.60 cnf(12564,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x125641),f319(a104,x125641)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(12567,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x125671),f319(a104,x125671)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(12569,plain, % 219.27/219.60 (P1(f319(f319(f279(a925),x125691),f319(f319(f75(a925),x125692),x125691)))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,11389,3932,11988,12310,12460,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817])). % 219.27/219.60 cnf(12570,plain, % 219.27/219.60 (P1(f319(f319(f279(a925),x125701),x125701))), % 219.27/219.60 inference(rename_variables,[],[3574])). % 219.27/219.60 cnf(12573,plain, % 219.27/219.60 (P1(f319(f319(f279(a925),x125731),x125731))), % 219.27/219.60 inference(rename_variables,[],[3574])). % 219.27/219.60 cnf(12575,plain, % 219.27/219.60 (P1(f319(f319(f226(a923),x125751),x125751))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,11389,3932,11988,12310,12460,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,984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% 219.27/219.60 cnf(12576,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x125761,a923)),x125762),x125762))), % 219.27/219.60 inference(rename_variables,[],[3862])). % 219.27/219.60 cnf(12578,plain, % 219.27/219.60 (~P1(f319(f319(f226(a1),f319(f319(f23(a1),a77),a89)),f2(a1)))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,11389,3932,11988,12310,12460,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869])). % 219.27/219.60 cnf(12583,plain, % 219.27/219.60 (P1(f319(f319(f321(f932(x125831,a923)),x125832),f319(f300(x125831),x125832)))), % 219.27/219.60 inference(rename_variables,[],[3932])). % 219.27/219.60 cnf(12589,plain, % 219.27/219.60 (~P1(f319(f319(f227(a1),f319(f319(f74(a1),a77),a77)),f2(a1)))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,4736,4737,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,11389,3932,11988,12310,12460,12531,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906])). % 219.27/219.60 cnf(12592,plain, % 219.27/219.60 (~E(f319(a104,x125921),x125921)), % 219.27/219.60 inference(rename_variables,[],[4716])). % 219.27/219.60 cnf(12593,plain, % 219.27/219.60 (E(f319(f302(x125931,x125931,f5(x125931)),x125932),x125932)), % 219.27/219.60 inference(rename_variables,[],[3628])). % 219.27/219.60 cnf(12596,plain, % 219.27/219.60 (P33(x125961,x125962,f105(x125961),f105(x125961))), % 219.27/219.60 inference(rename_variables,[],[3815])). % 219.27/219.60 cnf(12599,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x125991,a923)),f319(f164(x125991),f168(x125991,x125992,x125993))),f319(f164(x125991),x125992)))), % 219.27/219.60 inference(rename_variables,[],[4257])). % 219.27/219.60 cnf(12600,plain, % 219.27/219.60 (P1(f319(f55(x126001),f319(f164(x126001),x126002)))), % 219.27/219.60 inference(rename_variables,[],[3611])). % 219.27/219.60 cnf(12611,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x126111),x126111))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12613,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),f319(f243(x126131,x126132),f319(f319(f244(x126131,x126132),x126133),f150(x126134,x126135)))),x126133))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,3815,4736,4737,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3628,11183,11310,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,11389,12523,3932,11988,12310,12460,12531,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,3722,10875,10966,11238,11282,11524,11527,11608,11694,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,3593,11030,11188,11258,12069,12212,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983])). % 219.27/219.60 cnf(12614,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x126141),x126141))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12619,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),f2(a925)),x126191))), % 219.27/219.60 inference(rename_variables,[],[3593])). % 219.27/219.60 cnf(12626,plain, % 219.27/219.60 (P14(a925,f319(f160(a925),f319(f319(f146(f926(x126261),a925),f181(f926(x126261))),f171(x126261,x126262))))), % 219.27/219.60 inference(rename_variables,[],[4126])). % 219.27/219.60 cnf(12629,plain, % 219.27/219.60 (P26(x126291,x126291,f5(x126291),x126292)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12632,plain, % 219.27/219.60 (P26(x126321,x126321,f5(x126321),x126322)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12635,plain, % 219.27/219.60 (P1(f319(f319(f321(f926(x126351)),f105(x126351)),f153(x126351,x126352)))), % 219.27/219.60 inference(rename_variables,[],[3766])). % 219.27/219.60 cnf(12638,plain, % 219.27/219.60 (~P1(f319(f319(f180(f932(x126381,f932(x126382,a923))),x126383),x126384))), % 219.27/219.60 inference(rename_variables,[],[4775])). % 219.27/219.60 cnf(12640,plain, % 219.27/219.60 (P1(f319(f319(f227(f932(x126401,a923)),f319(a104,f234(f932(x126401,a923)))),f319(f319(f301(x126401),x126402),f234(f932(x126401,a923)))))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,12526,12629,3815,4736,4737,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3451,3628,11183,11310,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,4209,11180,4257,11389,12523,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,4437,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161])). % 219.27/219.60 cnf(12643,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x126431),x126431))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12644,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),f2(a925)),x126441))), % 219.27/219.60 inference(rename_variables,[],[3593])). % 219.27/219.60 cnf(12647,plain, % 219.27/219.60 (~P1(f319(f319(f180(f932(x126471,f932(x126472,a923))),x126473),x126474))), % 219.27/219.60 inference(rename_variables,[],[4775])). % 219.27/219.60 cnf(12650,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(f931(f926(x126501),f926(x126501)),a923)),f150(x126501,x126502)),f299(f926(x126501),f149(x126501,x126502))))), % 219.27/219.60 inference(rename_variables,[],[4262])). % 219.27/219.60 cnf(12656,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x126561,a923)),f319(f302(x126562,x126561,x126563),f319(f303(x126562,x126561,x126563),x126564))),x126564))), % 219.27/219.60 inference(rename_variables,[],[4437])). % 219.27/219.60 cnf(12659,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x126591,a923)),f319(f164(x126591),f168(x126591,x126592,x126593))),f319(f164(x126591),x126592)))), % 219.27/219.60 inference(rename_variables,[],[4257])). % 219.27/219.60 cnf(12660,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x126601,a923)),f319(f164(x126601),f319(f128(x126601,x126602),x126603))),f319(f164(x126601),x126603)))), % 219.27/219.60 inference(rename_variables,[],[4209])). % 219.27/219.60 cnf(12662,plain, % 219.27/219.60 (~P1(f319(f319(f226(f932(x126621,a923)),f234(f932(x126621,a923))),f180(f932(x126621,a923))))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,12526,12629,3815,4736,4737,3444,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3451,3628,11183,11310,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,3931,4612,4613,4727,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,12300,12650,4209,11180,12485,4257,11389,12523,12599,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,4437,11171,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264])). % 219.27/219.60 cnf(12663,plain, % 219.27/219.60 (~P1(f319(f319(f227(f932(x126631,a923)),x126632),f180(f932(x126631,a923))))), % 219.27/219.60 inference(rename_variables,[],[4769])). % 219.27/219.60 cnf(12671,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x126711,a923)),f319(f302(x126712,x126711,x126713),f319(f303(x126712,x126711,x126713),x126714))),x126714))), % 219.27/219.60 inference(rename_variables,[],[4437])). % 219.27/219.60 cnf(12675,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(f926(a925),f926(a925))),f319(f319(f244(f926(a925),f926(a925)),f105(a925)),f106(a925,f105(a925)))),f255(f926(a925),f153(a925,x126751))))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,12526,12629,3815,3822,3543,4736,4737,3441,3444,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3451,3628,11183,11310,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,3931,4612,4613,4727,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,12300,12650,4209,11180,12485,4257,11389,12523,12599,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,4437,11171,12656,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359])). % 219.27/219.60 cnf(12676,plain, % 219.27/219.60 (P1(f319(f319(f321(f926(x126761)),f105(x126761)),f153(x126761,x126762)))), % 219.27/219.60 inference(rename_variables,[],[3766])). % 219.27/219.60 cnf(12679,plain, % 219.27/219.60 (~P1(f319(f319(f321(f931(f926(x126791),f926(x126791))),f319(f319(f244(f926(x126791),f926(x126791)),x126792),f105(x126791))),f137(x126791,x126793)))), % 219.27/219.60 inference(rename_variables,[],[4777])). % 219.27/219.60 cnf(12682,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x126821),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(12684,plain, % 219.27/219.60 (~P1(f319(f55(x126841),f234(f932(x126841,a923))))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,12526,12629,3815,3822,3543,4736,4737,3441,3444,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3451,3628,11183,11310,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,3931,4612,4613,4727,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,12300,12650,4209,11180,12485,4257,11389,12523,12599,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,12576,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,4437,11171,12656,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,92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% 219.27/219.60 cnf(12685,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x126851,a923)),x126852),x126852))), % 219.27/219.60 inference(rename_variables,[],[3862])). % 219.27/219.60 cnf(12688,plain, % 219.27/219.60 (~P1(f319(f319(f321(x126881),x126882),f180(f932(x126881,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12691,plain, % 219.27/219.60 (~P1(f319(f319(f180(f932(x126911,f932(x126912,a923))),x126913),x126914))), % 219.27/219.60 inference(rename_variables,[],[4775])). % 219.27/219.60 cnf(12694,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x126941,a923)),f319(f302(x126942,x126941,x126943),f319(f303(x126942,x126941,x126943),x126944))),x126944))), % 219.27/219.60 inference(rename_variables,[],[4437])). % 219.27/219.60 cnf(12695,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x126951,a923)),x126952),x126952))), % 219.27/219.60 inference(rename_variables,[],[3862])). % 219.27/219.60 cnf(12700,plain, % 219.27/219.60 (E(f319(f276(x127001,x127001),f255(x127001,x127002)),x127002)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12703,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x127031,a923)),f319(f164(x127031),f168(x127031,x127032,x127033))),f319(f164(x127031),x127032)))), % 219.27/219.60 inference(rename_variables,[],[4257])). % 219.27/219.60 cnf(12704,plain, % 219.27/219.60 (P1(f319(f55(x127041),f319(f164(x127041),x127042)))), % 219.27/219.60 inference(rename_variables,[],[3611])). % 219.27/219.60 cnf(12707,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x127071),x127071))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12710,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x127101),x127101))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12713,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x127131),x127131))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12717,plain, % 219.27/219.60 (~P1(f319(f319(f227(f932(a925,a923)),f295(a925,x127171,x127172)),f295(a925,f319(a104,x127173),x127173)))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,12526,12629,3815,3822,3543,4736,4737,3441,3444,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,3774,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3427,3414,3415,4037,3451,3628,11183,11310,3503,4198,4730,10600,10767,11654,3563,12132,4759,11366,11465,11711,11714,3675,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,4777,11285,11534,11648,11677,11717,11723,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,3931,4612,4613,4727,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,12600,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,12300,12650,4209,11180,12485,4257,11389,12523,12599,12659,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,12576,12685,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623])). % 219.27/219.60 cnf(12724,plain, % 219.27/219.60 (P26(x127241,x127241,f5(x127241),x127242)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12732,plain, % 219.27/219.60 (~P1(f319(f319(f321(x127321),x127322),f180(f932(x127321,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12735,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(x127351,x127351)),f319(f319(f244(x127351,x127351),x127352),x127352)),f299(x127351,x127353)))), % 219.27/219.60 inference(rename_variables,[],[4200])). % 219.27/219.60 cnf(12738,plain, % 219.27/219.60 (~P1(f319(f319(f321(x127381),x127382),f180(f932(x127381,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12741,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(x127411,x127411)),f319(f319(f244(x127411,x127411),x127412),x127412)),f299(x127411,x127413)))), % 219.27/219.60 inference(rename_variables,[],[4200])). % 219.27/219.60 cnf(12747,plain, % 219.27/219.60 (E(f319(f319(f301(x127471),x127472),f319(f319(f301(x127471),x127472),x127473)),f319(f319(f301(x127471),x127472),x127473))), % 219.27/219.60 inference(rename_variables,[],[3715])). % 219.27/219.60 cnf(12748,plain, % 219.27/219.60 (~E(f319(f319(f301(x127481),x127482),x127483),f180(f932(x127481,a923)))), % 219.27/219.60 inference(rename_variables,[],[4739])). % 219.27/219.60 cnf(12751,plain, % 219.27/219.60 (~E(f319(f319(f143(x127511),x127512),x127513),x127513)), % 219.27/219.60 inference(rename_variables,[],[4730])). % 219.27/219.60 cnf(12753,plain, % 219.27/219.60 (~P27(a925,a925,x127531,f234(f932(a925,a923)),f295(a925,x127532,x127533))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,12526,12629,12632,3815,3822,3543,4736,4737,3441,3444,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3883,3427,3414,3415,4037,3451,3628,11183,11310,3503,4198,4730,10600,10767,11654,11855,3563,12132,4759,11366,11465,11711,11714,3675,4739,3467,3468,10670,11000,3727,3386,3489,11793,4341,4200,11386,11521,11582,12735,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,3931,3715,4612,4613,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3759,4766,4334,11674,3888,3611,12153,12156,12600,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,4303,4262,12300,12650,4209,11180,12485,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,4013,11301,11307,11327,12335,12465,3862,11445,11573,12576,12685,4015,11033,11408,11579,11613,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891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% 219.27/219.60 cnf(12758,plain, % 219.27/219.60 (P1(f319(f319(f321(x127581),x127582),f234(f932(x127581,a923))))), % 219.27/219.60 inference(rename_variables,[],[3722])). % 219.27/219.60 cnf(12759,plain, % 219.27/219.60 (~E(f319(a104,x127591),x127591)), % 219.27/219.60 inference(rename_variables,[],[4716])). % 219.27/219.60 cnf(12762,plain, % 219.27/219.60 (P1(f319(f319(f321(f926(x127621)),f105(x127621)),f153(x127621,x127622)))), % 219.27/219.60 inference(rename_variables,[],[3766])). % 219.27/219.60 cnf(12763,plain, % 219.27/219.60 (~E(f319(f319(f143(x127631),x127632),x127633),f105(x127631))), % 219.27/219.60 inference(rename_variables,[],[4733])). % 219.27/219.60 cnf(12766,plain, % 219.27/219.60 (P26(x127661,x127661,f5(x127661),x127662)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12769,plain, % 219.27/219.60 (P1(f319(f319(f321(x127691),f319(x127692,x127693)),f319(f302(x127694,x127691,x127692),f234(f932(x127694,a923)))))), % 219.27/219.60 inference(rename_variables,[],[4166])). % 219.27/219.60 cnf(12770,plain, % 219.27/219.60 (P26(x127701,x127701,f5(x127701),x127702)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12773,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x127731,a923)),f180(f932(x127731,a923))),x127732))), % 219.27/219.60 inference(rename_variables,[],[4015])). % 219.27/219.60 cnf(12774,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x127741,a923)),x127742),x127742))), % 219.27/219.60 inference(rename_variables,[],[3862])). % 219.27/219.60 cnf(12777,plain, % 219.27/219.60 (P1(f319(f319(f321(x127771),f319(x127772,x127773)),f319(f302(x127774,x127771,x127772),f234(f932(x127774,a923)))))), % 219.27/219.60 inference(rename_variables,[],[4166])). % 219.27/219.60 cnf(12778,plain, % 219.27/219.60 (P26(x127781,x127781,f5(x127781),x127782)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12781,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(f926(x127811),f926(x127811))),f319(f319(f244(f926(x127811),f926(x127811)),f105(x127811)),f105(x127811))),f150(x127811,x127812)))), % 219.27/219.60 inference(rename_variables,[],[4341])). % 219.27/219.60 cnf(12785,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x127851),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(12791,plain, % 219.27/219.60 (E(f319(f319(f126(x127911),x127912),f105(x127911)),x127912)), % 219.27/219.60 inference(rename_variables,[],[3504])). % 219.27/219.60 cnf(12792,plain, % 219.27/219.60 (~E(f319(f319(f143(x127921),x127922),x127923),x127923)), % 219.27/219.60 inference(rename_variables,[],[4730])). % 219.27/219.60 cnf(12795,plain, % 219.27/219.60 (E(f319(f319(f126(x127951),x127952),f105(x127951)),x127952)), % 219.27/219.60 inference(rename_variables,[],[3504])). % 219.27/219.60 cnf(12796,plain, % 219.27/219.60 (~E(f319(f319(f143(x127961),x127962),x127963),x127963)), % 219.27/219.60 inference(rename_variables,[],[4730])). % 219.27/219.60 cnf(12799,plain, % 219.27/219.60 (E(f319(f319(f126(x127991),x127992),f105(x127991)),x127992)), % 219.27/219.60 inference(rename_variables,[],[3504])). % 219.27/219.60 cnf(12806,plain, % 219.27/219.60 (P56(x128061,f255(x128061,x128062))), % 219.27/219.60 inference(rename_variables,[],[3445])). % 219.27/219.60 cnf(12809,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128091,a923)),f319(f164(x128091),f319(f128(x128091,x128092),x128093))),f319(f164(x128091),x128093)))), % 219.27/219.60 inference(rename_variables,[],[4209])). % 219.27/219.60 cnf(12810,plain, % 219.27/219.60 (E(f319(f302(x128101,x128101,f5(x128101)),x128102),x128102)), % 219.27/219.60 inference(rename_variables,[],[3628])). % 219.27/219.60 cnf(12815,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128151,a923)),x128152),f234(f932(x128151,a923))))), % 219.27/219.60 inference(rename_variables,[],[3949])). % 219.27/219.60 cnf(12819,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x128191),x128191))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12820,plain, % 219.27/219.60 (~E(f319(a104,x128201),x128201)), % 219.27/219.60 inference(rename_variables,[],[4716])). % 219.27/219.60 cnf(12823,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128231,a923)),f180(f932(x128231,a923))),x128232))), % 219.27/219.60 inference(rename_variables,[],[4015])). % 219.27/219.60 cnf(12826,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x128261),x128261))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12829,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128291,a923)),x128292),x128292))), % 219.27/219.60 inference(rename_variables,[],[3862])). % 219.27/219.60 cnf(12834,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128341,a923)),x128342),f319(f319(f301(x128341),x128343),x128342)))), % 219.27/219.60 inference(rename_variables,[],[4013])). % 219.27/219.60 cnf(12837,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128371,a923)),x128372),x128372))), % 219.27/219.60 inference(rename_variables,[],[3862])). % 219.27/219.60 cnf(12838,plain, % 219.27/219.60 (~P1(f319(f319(f321(x128381),x128382),f180(f932(x128381,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12841,plain, % 219.27/219.60 (~P1(f319(f319(f321(x128411),x128412),f180(f932(x128411,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12849,plain, % 219.27/219.60 (~P1(f319(f319(f226(f932(f931(x128491,x128491),a923)),f319(f302(f931(x128491,x128491),f931(x128491,x128491),f5(f931(x128491,x128491))),f234(f932(f931(x128491,x128491),a923)))),f319(f302(f931(x128491,x128491),f931(x128491,x128491),f5(f931(x128491,x128491))),f180(f932(f931(x128491,x128491),a923)))))), % 219.27/219.60 inference(scs_inference,[],[3806,11460,12526,12629,12632,12724,12766,12770,12778,3815,3822,3543,4736,4737,3441,3444,3445,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,3627,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,3504,12791,12795,3510,3519,4025,4327,3408,3768,4116,11803,3470,3404,3431,3883,3427,3414,3415,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,4733,12763,3563,12132,4759,11366,11465,11711,11714,3675,4739,3467,3468,10670,11000,3727,3386,3489,11793,4341,12781,4200,11386,11521,11582,12735,12741,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3957,3759,4766,4334,11674,3888,3611,12153,12156,12600,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,3632,10997,11027,11036,11039,11042,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,4013,11301,11307,11327,12335,12465,12544,3862,11445,11573,12576,12685,12695,12774,12829,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648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% 219.27/219.60 cnf(12850,plain, % 219.27/219.60 (P26(x128501,x128501,f5(x128501),x128502)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12853,plain, % 219.27/219.60 (E(f319(f181(f926(x128531)),f161(x128531,x128532,x128533)),x128532)), % 219.27/219.60 inference(rename_variables,[],[3638])). % 219.27/219.60 cnf(12856,plain, % 219.27/219.60 (P27(x128561,x128561,f25(x128561),x128562,x128562)), % 219.27/219.60 inference(rename_variables,[],[4224])). % 219.27/219.60 cnf(12859,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x128591),x128591))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12860,plain, % 219.27/219.60 (P1(f319(f234(f932(x128601,a923)),x128602))), % 219.27/219.60 inference(rename_variables,[],[3632])). % 219.27/219.60 cnf(12863,plain, % 219.27/219.60 (~P1(f319(f319(f321(x128631),x128632),f180(f932(x128631,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12866,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128661,a923)),x128662),f319(f319(f301(x128661),x128663),x128662)))), % 219.27/219.60 inference(rename_variables,[],[4013])). % 219.27/219.60 cnf(12869,plain, % 219.27/219.60 (P1(f319(f319(f321(x128691),f319(x128692,x128693)),f319(f302(x128694,x128691,x128692),f234(f932(x128694,a923)))))), % 219.27/219.60 inference(rename_variables,[],[4166])). % 219.27/219.60 cnf(12870,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(x128701,x128701)),f319(f319(f244(x128701,x128701),x128702),x128702)),f299(x128701,x128703)))), % 219.27/219.60 inference(rename_variables,[],[4200])). % 219.27/219.60 cnf(12873,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(x128731,x128731)),f319(f319(f244(x128731,x128731),x128732),x128732)),f299(x128731,x128733)))), % 219.27/219.60 inference(rename_variables,[],[4200])). % 219.27/219.60 cnf(12876,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x128761),x128761))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(12877,plain, % 219.27/219.60 (P1(f319(f234(f932(x128771,a923)),x128772))), % 219.27/219.60 inference(rename_variables,[],[3632])). % 219.27/219.60 cnf(12880,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x128801,a923)),x128802),f234(f932(x128801,a923))))), % 219.27/219.60 inference(rename_variables,[],[3949])). % 219.27/219.60 cnf(12881,plain, % 219.27/219.60 (P27(x128811,x128811,f25(x128811),x128812,x128812)), % 219.27/219.60 inference(rename_variables,[],[4224])). % 219.27/219.60 cnf(12884,plain, % 219.27/219.60 (P1(f319(f55(x128841),f319(f164(x128841),x128842)))), % 219.27/219.60 inference(rename_variables,[],[3611])). % 219.27/219.60 cnf(12886,plain, % 219.27/219.60 (E(f319(f319(f126(x128861),f700(x128862,x128863,f105(x128861),f319(f319(f143(x128861),x128863),x128862),x128861)),f105(x128861)),x128862)), % 219.27/219.60 inference(scs_inference,[],[4224,12856,3806,11460,12526,12629,12632,12724,12766,12770,12778,3815,3822,3543,4736,4737,3441,3444,3445,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,3627,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,3504,12791,12795,12799,3510,3519,4025,4327,3638,3408,3768,4116,11803,3470,3404,3431,3883,3427,3414,3415,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,4733,12763,3563,12132,4759,11366,11465,11711,11714,3675,4739,3467,3468,10670,11000,3727,3386,3489,11793,4341,12781,4200,11386,11521,11582,12735,12741,12870,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3957,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658])). % 219.27/219.60 cnf(12891,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(x128911,x128911)),f319(f319(f244(x128911,x128911),x128912),x128912)),f319(f319(f281(x128911,x128911,x128911),f299(x128911,x128913)),f299(x128911,f299(x128911,x128913)))))), % 219.27/219.60 inference(scs_inference,[],[4224,12856,3806,11460,12526,12629,12632,12724,12766,12770,12778,3815,3822,3543,4736,4737,3441,3444,3445,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,3627,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,3504,12791,12795,12799,3510,3519,4025,4327,3638,3408,3768,4116,11803,3470,3404,3431,3883,3427,3414,3415,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,4733,12763,3563,12132,4759,11366,11465,11711,11714,3675,4739,3467,3468,10670,11000,3727,3386,3489,11793,4341,12781,4200,11386,11521,11582,12735,12741,12870,12873,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3957,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708])). % 219.27/219.60 cnf(12894,plain, % 219.27/219.60 (~P1(f319(f319(f180(f932(x128941,f932(x128942,a923))),x128943),x128944))), % 219.27/219.60 inference(rename_variables,[],[4775])). % 219.27/219.60 cnf(12900,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x129001,a923)),x129002),f234(f932(x129001,a923))))), % 219.27/219.60 inference(rename_variables,[],[3949])). % 219.27/219.60 cnf(12903,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(x129031,x129031)),f319(f319(f244(x129031,x129031),x129032),x129032)),f299(x129031,x129033)))), % 219.27/219.60 inference(rename_variables,[],[4200])). % 219.27/219.60 cnf(12906,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),f319(f319(f74(a925),x129061),x129062)),x129062))), % 219.27/219.60 inference(rename_variables,[],[4772])). % 219.27/219.60 cnf(12907,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x129071),f319(a104,x129071)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(12910,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x129101,a923)),x129102),f234(f932(x129101,a923))))), % 219.27/219.60 inference(rename_variables,[],[3949])). % 219.27/219.60 cnf(12913,plain, % 219.27/219.60 (E(f319(f276(x129131,x129131),f255(x129131,x129132)),x129132)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12923,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x129231),f319(f181(f926(x129232)),f105(x129232))))), % 219.27/219.60 inference(scs_inference,[],[4224,12856,3806,11460,12526,12629,12632,12724,12766,12770,12778,3815,3822,3543,4736,4737,3441,3444,3445,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,3627,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,3905,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,3504,12791,12795,12799,3510,3519,4025,4327,3638,3408,3768,4116,11803,3470,3404,3431,3883,3427,3414,3415,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,4733,12763,3563,12132,4759,11366,11465,11711,11714,3675,4739,3467,3468,10670,11000,3727,3386,3489,11793,4341,12781,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3957,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,805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% 219.27/219.60 cnf(12924,plain, % 219.27/219.60 (~P1(f319(f319(f321(x129241),x129242),f180(f932(x129241,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12925,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(f926(x129251),f926(x129251))),f319(f319(f244(f926(x129251),f926(x129251)),f105(x129251)),f105(x129251))),f150(x129251,x129252)))), % 219.27/219.60 inference(rename_variables,[],[4341])). % 219.27/219.60 cnf(12927,plain, % 219.27/219.60 (P1(f319(f319(f321(f931(a925,a925)),f319(f319(f244(a925,a925),f319(a104,x129271)),f319(a104,f319(a104,x129271)))),f319(f319(f281(a925,a925,a925),f299(a925,a309)),f299(a925,f299(a925,a309)))))), % 219.27/219.60 inference(scs_inference,[],[4224,12856,3806,11460,12526,12629,12632,12724,12766,12770,12778,3815,3822,3543,4736,4737,3441,3444,3445,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,3627,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,3905,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,3504,12791,12795,12799,3510,3519,4025,4327,3638,3408,3768,4116,11803,3470,3404,3431,3883,3427,3414,3415,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,4733,12763,3563,12132,4759,11366,11465,11711,11714,3675,4739,3467,3468,10670,11000,3727,3386,3489,11793,4341,12781,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3957,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,805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% 219.27/219.60 cnf(12930,plain, % 219.27/219.60 (~P1(f319(f319(f321(x129301),x129302),f180(f932(x129301,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12935,plain, % 219.27/219.60 (P32(x129351,x129352,f105(x129351))), % 219.27/219.60 inference(rename_variables,[],[3509])). % 219.27/219.60 cnf(12938,plain, % 219.27/219.60 (E(f319(f181(f926(x129381)),f161(x129381,x129382,x129383)),x129382)), % 219.27/219.60 inference(rename_variables,[],[3638])). % 219.27/219.60 cnf(12941,plain, % 219.27/219.60 (~P1(f319(f319(f321(x129411),x129412),f180(f932(x129411,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12945,plain, % 219.27/219.60 (~P1(f319(f319(f321(f931(f926(x129451),f926(x129451))),f319(f319(f244(f926(x129451),f926(x129451)),x129452),x129452)),f139(x129451,f145(x129451,f105(f932(x129451,a925))))))), % 219.27/219.60 inference(scs_inference,[],[4224,12856,3806,11460,12526,12629,12632,12724,12766,12770,12778,3815,3822,3543,3509,4736,4737,3441,3444,3445,4735,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,3627,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,3368,4714,3905,4130,12051,3418,11757,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,3504,12791,12795,12799,3510,3519,4025,4327,3638,12853,3408,3768,4116,11803,3470,3404,3431,3883,3427,3414,3415,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,4733,12763,3563,12132,4759,11366,11465,11711,11714,3675,4739,3467,3468,10670,11000,3727,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3957,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,79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% 219.27/219.60 cnf(12947,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x129471),x129471))), % 219.27/219.60 inference(rename_variables,[],[4750])). % 219.27/219.60 cnf(12950,plain, % 219.27/219.60 (P1(f319(f319(f321(x129501),x129502),f234(f932(x129501,a923))))), % 219.27/219.60 inference(rename_variables,[],[3722])). % 219.27/219.60 cnf(12954,plain, % 219.27/219.60 (~P1(f319(f319(f321(x129541),x129542),f180(f932(x129541,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12957,plain, % 219.27/219.60 (P1(f319(f319(f226(f932(x129571,a923)),x129572),x129572))), % 219.27/219.60 inference(rename_variables,[],[3862])). % 219.27/219.60 cnf(12960,plain, % 219.27/219.60 (~P1(f319(f319(f321(x129601),x129602),f180(f932(x129601,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(12963,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),f2(a1)),f319(f319(f236(a1),f319(f69(a1),x129631)),x129632)))), % 219.27/219.60 inference(rename_variables,[],[4046])). % 219.27/219.60 cnf(12966,plain, % 219.27/219.60 (~E(f319(a104,x129661),x129661)), % 219.27/219.60 inference(rename_variables,[],[4716])). % 219.27/219.60 cnf(12968,plain, % 219.27/219.60 (E(f319(f276(x129681,x129681),f255(x129681,x129682)),x129682)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12970,plain, % 219.27/219.60 (E(f319(f276(x129701,x129701),f255(x129701,x129702)),x129702)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12980,plain, % 219.27/219.60 (E(f319(f276(x129801,x129801),f255(x129801,x129802)),x129802)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12982,plain, % 219.27/219.60 (E(f319(f276(x129821,x129821),f255(x129821,x129822)),x129822)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12984,plain, % 219.27/219.60 (E(f319(f276(x129841,x129841),f255(x129841,x129842)),x129842)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(12986,plain, % 219.27/219.60 (P57(x129861,x129862,f255(x129861,x129862))), % 219.27/219.60 inference(rename_variables,[],[3542])). % 219.27/219.60 cnf(12988,plain, % 219.27/219.60 (P57(x129881,x129882,f255(x129881,x129882))), % 219.27/219.60 inference(rename_variables,[],[3542])). % 219.27/219.60 cnf(12990,plain, % 219.27/219.60 (P57(x129901,x129902,f255(x129901,x129902))), % 219.27/219.60 inference(rename_variables,[],[3542])). % 219.27/219.60 cnf(12992,plain, % 219.27/219.60 (P26(x129921,x129921,f5(x129921),x129922)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(12994,plain, % 219.27/219.60 (P26(x129941,x129941,f5(x129941),x129942)), % 219.27/219.60 inference(rename_variables,[],[3806])). % 219.27/219.60 cnf(13001,plain, % 219.27/219.60 (E(f319(f276(x130011,x130011),f255(x130011,x130012)),x130012)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(13007,plain, % 219.27/219.60 (E(f319(f276(x130071,x130071),f255(x130071,x130072)),x130072)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(13009,plain, % 219.27/219.60 (E(f319(f276(x130091,x130091),f255(x130091,x130092)),x130092)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(13011,plain, % 219.27/219.60 (P27(x130111,x130111,f25(x130111),x130112,x130112)), % 219.27/219.60 inference(rename_variables,[],[4224])). % 219.27/219.60 cnf(13013,plain, % 219.27/219.60 (P27(x130131,x130131,f25(x130131),x130132,x130132)), % 219.27/219.60 inference(rename_variables,[],[4224])). % 219.27/219.60 cnf(13015,plain, % 219.27/219.60 (P27(x130151,x130151,f25(x130151),x130152,x130152)), % 219.27/219.60 inference(rename_variables,[],[4224])). % 219.27/219.60 cnf(13019,plain, % 219.27/219.60 (P56(x130191,f255(x130191,x130192))), % 219.27/219.60 inference(rename_variables,[],[3445])). % 219.27/219.60 cnf(13024,plain, % 219.27/219.60 (P39(x130241,f255(x130241,x130242))), % 219.27/219.60 inference(rename_variables,[],[3442])). % 219.27/219.60 cnf(13030,plain, % 219.27/219.60 (E(f180(f932(f931(x130301,x130301),a923)),f255(x130301,f180(f932(x130301,a923))))), % 219.27/219.60 inference(rename_variables,[],[3642])). % 219.27/219.60 cnf(13034,plain, % 219.27/219.60 (P38(x130341,f145(x130341,x130342))), % 219.27/219.60 inference(rename_variables,[],[3441])). % 219.27/219.60 cnf(13038,plain, % 219.27/219.60 (~E(f319(f321(f931(f926(x130381),f926(x130381))),f319(f319(f244(f926(x130381),f926(x130381)),f105(x130381)),f105(x130381))),f319(f164(x130382),f105(x130382)))), % 219.27/219.60 inference(scs_inference,[],[4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,3822,3542,12986,12988,3543,3509,12935,4736,4737,3441,13034,3442,3443,3444,3445,12806,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3336,3338,3345,3349,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,3504,12791,12795,12799,3510,3519,4025,4327,3638,12853,12938,3408,3768,4116,11803,3470,3404,3431,3883,3427,3535,4124,3414,3415,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,4739,3642,3467,3468,10670,11000,3727,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,4765,11911,11942,11977,11984,12017,4005,3775,3776,4148,3599,3601,3575,4751,4724,3957,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,4382,4755,4058,4092,4742,4745,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,4774,12034,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,3991,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010])). % 219.27/219.60 cnf(13042,plain, % 219.27/219.60 (E(f319(f276(x130421,x130421),f255(x130421,x130422)),x130422)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(13051,plain, % 219.27/219.60 (E(f319(f276(x130511,x130511),f255(x130511,x130512)),x130512)), % 219.27/219.60 inference(rename_variables,[],[3533])). % 219.27/219.60 cnf(13053,plain, % 219.27/219.60 (P59(x130531,x130531,f255(x130531,x130532))), % 219.27/219.60 inference(rename_variables,[],[3543])). % 219.27/219.60 cnf(13059,plain, % 219.27/219.60 (P25(x130591,x130592,f180(f932(f924(x130591),a923)))), % 219.27/219.60 inference(rename_variables,[],[3626])). % 219.27/219.60 cnf(13067,plain, % 219.27/219.60 (E(f180(f932(f931(x130671,x130671),a923)),f255(x130671,f180(f932(x130671,a923))))), % 219.27/219.60 inference(rename_variables,[],[3642])). % 219.27/219.60 cnf(13069,plain, % 219.27/219.60 (E(f180(f932(f931(x130691,x130691),a923)),f255(x130691,f180(f932(x130691,a923))))), % 219.27/219.60 inference(rename_variables,[],[3642])). % 219.27/219.60 cnf(13074,plain, % 219.27/219.60 (P60(x130741,f180(f932(x130741,a923)),x130742)), % 219.27/219.60 inference(rename_variables,[],[3591])). % 219.27/219.60 cnf(13080,plain, % 219.27/219.60 (P15(x130801,f932(x130801,a923),f301(x130801))), % 219.27/219.60 inference(rename_variables,[],[3546])). % 219.27/219.60 cnf(13084,plain, % 219.27/219.60 (P44(x130841,x130842,x130843,x130844,f180(f932(x130841,a923)),x130844)), % 219.27/219.60 inference(rename_variables,[],[4498])). % 219.27/219.60 cnf(13095,plain, % 219.27/219.60 (P33(x130951,x130952,f105(x130951),f105(x130951))), % 219.27/219.60 inference(rename_variables,[],[3815])). % 219.27/219.60 cnf(13097,plain, % 219.27/219.60 (P33(x130971,x130972,f105(x130971),f105(x130971))), % 219.27/219.60 inference(rename_variables,[],[3815])). % 219.27/219.60 cnf(13117,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x131171),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(13126,plain, % 219.27/219.60 (~P1(f319(f319(f227(a1),f319(f92(a1),x131261)),f319(f73(a1),f319(f92(a1),x131262))))), % 219.27/219.60 inference(rename_variables,[],[4770])). % 219.27/219.60 cnf(13136,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x131361),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(13139,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x131391),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(13142,plain, % 219.27/219.60 (P1(f319(f55(a925),f297(a925,x131421,x131422)))), % 219.27/219.60 inference(rename_variables,[],[3776])). % 219.27/219.60 cnf(13145,plain, % 219.27/219.60 (P1(f319(f55(a925),f297(a925,x131451,x131452)))), % 219.27/219.60 inference(rename_variables,[],[3776])). % 219.27/219.60 cnf(13148,plain, % 219.27/219.60 (P1(f319(f55(a925),f297(a925,x131481,x131482)))), % 219.27/219.60 inference(rename_variables,[],[3776])). % 219.27/219.60 cnf(13151,plain, % 219.27/219.60 (P1(f319(f55(a925),f297(a925,x131511,x131512)))), % 219.27/219.60 inference(rename_variables,[],[3776])). % 219.27/219.60 cnf(13158,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),f319(f73(a1),f319(f92(a1),x131581))),f319(f92(a1),x131582)))), % 219.27/219.60 inference(rename_variables,[],[4047])). % 219.27/219.60 cnf(13160,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),f2(a1)),f319(f95(a1),f2(a1))))), % 219.27/219.60 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3222,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3335,3336,3338,3345,3349,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,3504,12791,12795,12799,3510,3519,4025,4327,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,4765,11911,11942,11977,11984,12017,4005,3775,3776,12328,13142,13145,13148,4148,3599,3601,3575,4751,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,12159,4382,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,3991,3992,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236])). % 219.27/219.60 cnf(13163,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x131631),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(13164,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x131641),x131641))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13171,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x131711),f319(a104,x131711)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(13173,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),f2(a1)),a77))), % 219.27/219.60 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3222,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3335,3336,3338,3345,3349,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,3504,12791,12795,12799,3510,3519,4025,4327,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,4765,11911,11942,11977,11984,12017,4005,3775,3776,12328,13142,13145,13148,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,12159,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,3991,3992,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339])). % 219.27/219.60 cnf(13175,plain, % 219.27/219.60 (~P1(f319(f319(f227(a1),f2(a1)),f319(f95(a1),f2(a1))))), % 219.27/219.60 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3222,3230,3234,3235,3241,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3335,3336,3338,3345,3349,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,3504,12791,12795,12799,3510,3519,4025,4327,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,4765,11911,11942,11977,11984,12017,4005,3775,3776,12328,13142,13145,13148,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,3632,10997,11027,11036,11039,11042,11640,12860,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,4047,12159,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,3991,3992,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486])). % 219.27/219.60 cnf(13178,plain, % 219.27/219.60 (P1(f319(f319(f226(a1),x131781),x131781))), % 219.27/219.60 inference(rename_variables,[],[3573])). % 219.27/219.60 cnf(13181,plain, % 219.27/219.60 (P1(f319(f55(a925),f297(a925,x131811,x131812)))), % 219.27/219.60 inference(rename_variables,[],[3776])). % 219.27/219.60 cnf(13184,plain, % 219.27/219.60 (P1(f319(f55(a925),f297(a925,x131841,x131842)))), % 219.27/219.60 inference(rename_variables,[],[3776])). % 219.27/219.60 cnf(13187,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x131871),x131871))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13188,plain, % 219.27/219.60 (~E(f319(a104,x131881),f2(a925))), % 219.27/219.60 inference(rename_variables,[],[4722])). % 219.27/219.60 cnf(13205,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),f39(a925,x132051,x132052)),x132051))), % 219.27/219.60 inference(rename_variables,[],[4023])). % 219.27/219.60 cnf(13210,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x132101),f319(a104,x132101)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(13213,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x132131),f319(a104,x132131)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(13214,plain, % 219.27/219.60 (~P1(f319(f319(f227(a925),x132141),f2(a925)))), % 219.27/219.60 inference(rename_variables,[],[4754])). % 219.27/219.60 cnf(13223,plain, % 219.27/219.60 (~P1(f319(f319(f227(a1),f319(f92(a1),x132231)),f2(a1)))), % 219.27/219.60 inference(rename_variables,[],[4765])). % 219.27/219.60 cnf(13224,plain, % 219.27/219.60 (P1(f319(f234(f932(x132241,a923)),x132242))), % 219.27/219.60 inference(rename_variables,[],[3632])). % 219.27/219.60 cnf(13227,plain, % 219.27/219.60 (~P1(f319(f319(f227(a1),f319(f92(a1),x132271)),f2(a1)))), % 219.27/219.60 inference(rename_variables,[],[4765])). % 219.27/219.60 cnf(13228,plain, % 219.27/219.60 (P1(f319(f234(f932(x132281,a923)),x132282))), % 219.27/219.60 inference(rename_variables,[],[3632])). % 219.27/219.60 cnf(13231,plain, % 219.27/219.60 (P1(f319(f234(f932(x132311,a923)),x132312))), % 219.27/219.60 inference(rename_variables,[],[3632])). % 219.27/219.60 cnf(13234,plain, % 219.27/219.60 (P1(f319(f234(f932(x132341,a923)),x132342))), % 219.27/219.60 inference(rename_variables,[],[3632])). % 219.27/219.60 cnf(13237,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),f2(a925)),x132371))), % 219.27/219.60 inference(rename_variables,[],[3593])). % 219.27/219.60 cnf(13238,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x132381),x132381))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13246,plain, % 219.27/219.60 (~P1(f319(f319(f321(x132461),x132462),f180(f932(x132461,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(13247,plain, % 219.27/219.60 (P1(f319(f55(x132471),f180(f932(x132471,a923))))), % 219.27/219.60 inference(rename_variables,[],[3647])). % 219.27/219.60 cnf(13250,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x132501),x132501))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13252,plain, % 219.27/219.60 (~P1(f319(f319(f226(a1),f319(f95(a1),a77)),f319(f95(a1),a89)))), % 219.27/219.60 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3261,3262,3263,3272,3285,3286,3297,3331,3335,3336,3338,3345,3349,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,3504,12791,12795,12799,3510,3519,4025,4327,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,4126,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,4765,11911,11942,11977,11984,12017,13223,4005,3775,3776,12328,13142,13145,13148,13151,13181,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,3574,12570,3647,12515,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,3671,3664,4084,4023,10649,12040,12068,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,12644,4047,12159,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121])). % 219.27/219.60 cnf(13259,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),f2(a925)),x132591))), % 219.27/219.60 inference(rename_variables,[],[3593])). % 219.27/219.60 cnf(13262,plain, % 219.27/219.60 (~P1(f319(f319(f321(x132621),x132622),f180(f932(x132621,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(13265,plain, % 219.27/219.60 (~P1(f319(f319(f321(x132651),x132652),f180(f932(x132651,a923))))), % 219.27/219.60 inference(rename_variables,[],[4761])). % 219.27/219.60 cnf(13268,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x132681),x132681))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13276,plain, % 219.27/219.60 (P1(f319(f319(f227(a925),x132761),f319(a104,x132761)))), % 219.27/219.60 inference(rename_variables,[],[3639])). % 219.27/219.60 cnf(13279,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x132791),x132791))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13284,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x132841),x132841))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13287,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x132871),x132871))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13290,plain, % 219.27/219.60 (P1(f319(f319(f226(a925),x132901),x132901))), % 219.27/219.60 inference(rename_variables,[],[3572])). % 219.27/219.60 cnf(13293,plain, % 219.27/219.60 (E(f319(f319(f23(f932(x132931,a923)),f180(f932(x132931,a923))),x132932),f180(f932(x132931,a923)))), % 219.27/219.60 inference(rename_variables,[],[3835])). % 219.27/219.60 cnf(13294,plain, % 219.27/219.60 (P1(f319(f55(x132941),f180(f932(x132941,a923))))), % 219.27/219.60 inference(rename_variables,[],[3647])). % 219.27/219.60 cnf(13297,plain, % 219.27/219.60 (E(f319(f319(f23(f932(x132971,a923)),f180(f932(x132971,a923))),x132972),f180(f932(x132971,a923)))), % 219.27/219.60 inference(rename_variables,[],[3835])). % 219.27/219.60 cnf(13298,plain, % 219.27/219.60 (P1(f319(f55(x132981),f180(f932(x132981,a923))))), % 219.27/219.60 inference(rename_variables,[],[3647])). % 219.27/219.60 cnf(13301,plain, % 219.27/219.60 (E(f319(f319(f23(f932(x133011,a923)),f180(f932(x133011,a923))),x133012),f180(f932(x133011,a923)))), % 219.27/219.60 inference(rename_variables,[],[3835])). % 219.27/219.60 cnf(13302,plain, % 219.27/219.60 (P1(f319(f55(x133021),f180(f932(x133021,a923))))), % 219.27/219.60 inference(rename_variables,[],[3647])). % 219.27/219.60 cnf(13305,plain, % 219.27/219.60 (E(f319(f319(f23(f932(x133051,a923)),f180(f932(x133051,a923))),x133052),f180(f932(x133051,a923)))), % 219.27/219.60 inference(rename_variables,[],[3835])). % 219.27/219.60 cnf(13306,plain, % 219.27/219.60 (P1(f319(f55(x133061),f180(f932(x133061,a923))))), % 219.35/219.60 inference(rename_variables,[],[3647])). % 219.35/219.60 cnf(13310,plain, % 219.35/219.60 (E(f319(f276(x133101,x133101),f255(x133101,x133102)),x133102)), % 219.35/219.60 inference(rename_variables,[],[3533])). % 219.35/219.60 cnf(13315,plain, % 219.35/219.60 (E(f319(f319(f23(f932(x133151,a923)),f180(f932(x133151,a923))),x133152),f180(f932(x133151,a923)))), % 219.35/219.60 inference(rename_variables,[],[3835])). % 219.35/219.60 cnf(13316,plain, % 219.35/219.60 (P1(f319(f55(x133161),f180(f932(x133161,a923))))), % 219.35/219.60 inference(rename_variables,[],[3647])). % 219.35/219.60 cnf(13320,plain, % 219.35/219.60 (P1(f319(f55(x133201),f180(f932(x133201,a923))))), % 219.35/219.60 inference(rename_variables,[],[3647])). % 219.35/219.60 cnf(13323,plain, % 219.35/219.60 (P1(f319(f319(f226(a925),x133231),x133231))), % 219.35/219.60 inference(rename_variables,[],[3572])). % 219.35/219.60 cnf(13327,plain, % 219.35/219.60 (P1(f319(f319(f226(a1),x133271),x133271))), % 219.35/219.60 inference(rename_variables,[],[3573])). % 219.35/219.60 cnf(13340,plain, % 219.35/219.60 (P1(f319(f319(f226(a925),x133401),x133401))), % 219.35/219.60 inference(rename_variables,[],[3572])). % 219.35/219.60 cnf(13347,plain, % 219.35/219.60 (P1(f319(f319(f226(a1),x133471),x133471))), % 219.35/219.60 inference(rename_variables,[],[3573])). % 219.35/219.60 cnf(13358,plain, % 219.35/219.60 (~P1(f319(f319(f321(x133581),x133582),f180(f932(x133581,a923))))), % 219.35/219.60 inference(rename_variables,[],[4761])). % 219.35/219.60 cnf(13360,plain, % 219.35/219.60 (~P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(a104,x133601)),x133602)),x133602))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3258,3261,3262,3263,3272,3285,3286,3297,3308,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,3504,12791,12795,12799,3510,3519,4025,4327,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,3776,12328,13142,13145,13148,13151,13181,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,3671,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049])). % 219.35/219.61 cnf(13369,plain, % 219.35/219.61 (P1(f319(f319(f321(x133691),x133692),f234(f932(x133691,a923))))), % 219.35/219.61 inference(rename_variables,[],[3722])). % 219.35/219.61 cnf(13370,plain, % 219.35/219.61 (E(f319(f184(x133701,x133702),x133703),f113(x133701,x133702))), % 219.35/219.61 inference(rename_variables,[],[3487])). % 219.35/219.61 cnf(13372,plain, % 219.35/219.61 (~P26(x133721,x133722,f184(x133723,x133724),f319(f302(x133725,x133721,f319(f143(x133726),x133727)),f234(f932(x133725,a923))))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3258,3261,3262,3263,3272,3285,3286,3297,3308,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,3776,12328,13142,13145,13148,13151,13181,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,3671,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101])). % 219.35/219.61 cnf(13373,plain, % 219.35/219.61 (P1(f319(f319(f321(x133731),f319(x133732,x133733)),f319(f302(x133734,x133731,x133732),f234(f932(x133734,a923)))))), % 219.35/219.61 inference(rename_variables,[],[4166])). % 219.35/219.61 cnf(13377,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x133771,a923)),x133772),f234(f932(x133771,a923))))), % 219.35/219.61 inference(rename_variables,[],[3949])). % 219.35/219.61 cnf(13380,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x133801,a923)),x133802),x133802))), % 219.35/219.61 inference(rename_variables,[],[3862])). % 219.35/219.61 cnf(13386,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),x133861),f2(a925)))), % 219.35/219.61 inference(rename_variables,[],[4754])). % 219.35/219.61 cnf(13387,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),x133871),x133871))), % 219.35/219.61 inference(rename_variables,[],[3573])). % 219.35/219.61 cnf(13391,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),x133911),f2(a925)))), % 219.35/219.61 inference(rename_variables,[],[4754])). % 219.35/219.61 cnf(13392,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),x133921),x133921))), % 219.35/219.61 inference(rename_variables,[],[3573])). % 219.35/219.61 cnf(13394,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(a1,a923)),f295(a1,f72(a1),f2(a1))),f295(a1,f2(a1),f72(a1))))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3258,3261,3262,3263,3272,3285,3286,3297,3308,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,3776,12328,13142,13145,13148,13151,13181,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,3671,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375])). % 219.35/219.61 cnf(13397,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),x133971),x133971))), % 219.35/219.61 inference(rename_variables,[],[3572])). % 219.35/219.61 cnf(13398,plain, % 219.35/219.61 (P1(f319(f55(a925),f295(a925,x133981,x133982)))), % 219.35/219.61 inference(rename_variables,[],[3775])). % 219.35/219.61 cnf(13405,plain, % 219.35/219.61 (E(f319(f319(f16(x134051,x134052),x134053),x134054),x134053)), % 219.35/219.61 inference(rename_variables,[],[3563])). % 219.35/219.61 cnf(13408,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x134081,a923)),f319(f164(x134081),f168(x134081,x134082,x134083))),f319(f164(x134081),x134082)))), % 219.35/219.61 inference(rename_variables,[],[4257])). % 219.35/219.61 cnf(13415,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),x134151),f2(a925)))), % 219.35/219.61 inference(rename_variables,[],[4754])). % 219.35/219.61 cnf(13416,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),x134161),x134161))), % 219.35/219.61 inference(rename_variables,[],[3573])). % 219.35/219.61 cnf(13420,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),x134201),f2(a925)))), % 219.35/219.61 inference(rename_variables,[],[4754])). % 219.35/219.61 cnf(13421,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),x134211),x134211))), % 219.35/219.61 inference(rename_variables,[],[3573])). % 219.35/219.61 cnf(13425,plain, % 219.35/219.61 (~P1(f319(f319(f226(f932(a925,a923)),f295(a925,f319(a104,x134251),f319(a104,x134251))),f295(a925,x134252,x134251)))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3258,3261,3262,3263,3272,3285,3286,3297,3308,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,4769,11131,11545,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734])). % 219.35/219.61 cnf(13426,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),x134261),x134261))), % 219.35/219.61 inference(rename_variables,[],[3572])). % 219.35/219.61 cnf(13429,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),x134291),x134291))), % 219.35/219.61 inference(rename_variables,[],[3572])). % 219.35/219.61 cnf(13432,plain, % 219.35/219.61 (~P1(f319(f319(f226(a925),f319(a104,x134321)),x134321))), % 219.35/219.61 inference(rename_variables,[],[4758])). % 219.35/219.61 cnf(13438,plain, % 219.35/219.61 (P1(f319(f319(f321(x134381),f319(x134382,x134383)),f319(f302(x134384,x134381,x134382),f234(f932(x134384,a923)))))), % 219.35/219.61 inference(rename_variables,[],[4166])). % 219.35/219.61 cnf(13439,plain, % 219.35/219.61 (P26(x134391,x134391,f5(x134391),x134392)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13444,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x134441,a923)),x134442),f234(f932(x134441,a923))))), % 219.35/219.61 inference(rename_variables,[],[3949])). % 219.35/219.61 cnf(13445,plain, % 219.35/219.61 (P26(x134451,x134451,f5(x134451),x134452)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13449,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x134491,a923)),x134492),f234(f932(x134491,a923))))), % 219.35/219.61 inference(rename_variables,[],[3949])). % 219.35/219.61 cnf(13450,plain, % 219.35/219.61 (P26(x134501,x134501,f5(x134501),x134502)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13454,plain, % 219.35/219.61 (P26(x134541,x134541,f5(x134541),x134542)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13456,plain, % 219.35/219.61 (~P1(f319(f319(f227(f932(a925,a923)),f319(f302(a1,a925,a96),f180(f932(a1,a923)))),f319(f302(a1,a925,a96),f180(f932(a1,a923)))))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3258,3261,3262,3263,3272,3285,3286,3297,3308,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,4769,11131,11545,12663,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,4339,4015,11033,11408,11579,11613,11627,12773,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237])). % 219.35/219.61 cnf(13457,plain, % 219.35/219.61 (~P1(f319(f319(f227(f932(x134571,a923)),x134572),f180(f932(x134571,a923))))), % 219.35/219.61 inference(rename_variables,[],[4769])). % 219.35/219.61 cnf(13460,plain, % 219.35/219.61 (P26(x134601,x134601,f5(x134601),x134602)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13463,plain, % 219.35/219.61 (P26(x134631,x134631,f5(x134631),x134632)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13469,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x134691,a923)),x134692),f234(f932(x134691,a923))))), % 219.35/219.61 inference(rename_variables,[],[3949])). % 219.35/219.61 cnf(13474,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x134741,a923)),f180(f932(x134741,a923))),x134742))), % 219.35/219.61 inference(rename_variables,[],[4015])). % 219.35/219.61 cnf(13476,plain, % 219.35/219.61 (~E(f105(f926(x134761)),f319(f319(f126(f926(x134761)),x134762),f319(f319(f143(f926(x134761)),f105(x134761)),x134763)))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,13454,13460,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3258,3261,3262,3263,3272,3285,3286,3297,3308,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,13310,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,4156,4759,11366,11465,11711,11714,3966,3675,3889,4739,3642,13030,13067,13069,3467,3468,10670,11000,4748,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,11593,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,4612,4613,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,4148,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,4257,11389,12523,12599,12659,12703,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,13449,4769,11131,11545,12663,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,4743,3878,12033,12116,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,4013,11301,11307,11327,12335,12465,12544,12834,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,4339,4015,11033,11408,11579,11613,11627,12773,12823,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237,9291,9292,9414,9449,9475,9508])). % 219.35/219.61 cnf(13478,plain, % 219.35/219.61 (E(f319(f276(x134781,x134781),f255(x134781,x134782)),x134782)), % 219.35/219.61 inference(rename_variables,[],[3533])). % 219.35/219.61 cnf(13482,plain, % 219.35/219.61 (~P1(f319(f319(f321(x134821),x134822),f180(f932(x134821,a923))))), % 219.35/219.61 inference(rename_variables,[],[4761])). % 219.35/219.61 cnf(13487,plain, % 219.35/219.61 (P26(x134871,x134871,f5(x134871),x134872)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13490,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x134901,a923)),x134902),f234(f932(x134901,a923))))), % 219.35/219.61 inference(rename_variables,[],[3949])). % 219.35/219.61 cnf(13498,plain, % 219.35/219.61 (E(f319(f319(f16(x134981,x134982),x134983),x134984),x134983)), % 219.35/219.61 inference(rename_variables,[],[3563])). % 219.35/219.61 cnf(13501,plain, % 219.35/219.61 (~P1(f319(f319(f321(x135011),x135012),f180(f932(x135011,a923))))), % 219.35/219.61 inference(rename_variables,[],[4761])). % 219.35/219.61 cnf(13504,plain, % 219.35/219.61 (~P1(f319(f319(f321(x135041),x135042),f180(f932(x135041,a923))))), % 219.35/219.61 inference(rename_variables,[],[4761])). % 219.35/219.61 cnf(13513,plain, % 219.35/219.61 (~E(f319(a104,x135131),x135131)), % 219.35/219.61 inference(rename_variables,[],[4716])). % 219.35/219.61 cnf(13516,plain, % 219.35/219.61 (P1(f319(f319(f227(a925),x135161),f319(a104,x135161)))), % 219.35/219.61 inference(rename_variables,[],[3639])). % 219.35/219.61 cnf(13517,plain, % 219.35/219.61 (~E(f319(a104,x135171),x135171)), % 219.35/219.61 inference(rename_variables,[],[4716])). % 219.35/219.61 cnf(13520,plain, % 219.35/219.61 (P1(f319(f319(f227(a925),x135201),f319(a104,f319(f319(f74(a925),x135202),x135201))))), % 219.35/219.61 inference(rename_variables,[],[4016])). % 219.35/219.61 cnf(13521,plain, % 219.35/219.61 (P1(f319(f319(f227(a925),x135211),f319(a104,x135211)))), % 219.35/219.61 inference(rename_variables,[],[3639])). % 219.35/219.61 cnf(13530,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),f2(a1)),f319(f92(a1),x135301)))), % 219.35/219.61 inference(rename_variables,[],[3671])). % 219.35/219.61 cnf(13537,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),f2(a925)),x135371))), % 219.35/219.61 inference(rename_variables,[],[3593])). % 219.35/219.61 cnf(13541,plain, % 219.35/219.61 (~E(f319(a104,x135411),f2(a925))), % 219.35/219.61 inference(rename_variables,[],[4722])). % 219.35/219.61 cnf(13544,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),x135441),x135441))), % 219.35/219.61 inference(rename_variables,[],[3573])). % 219.35/219.61 cnf(13550,plain, % 219.35/219.61 (~P1(f319(f319(f321(x135501),x135502),f180(f932(x135501,a923))))), % 219.35/219.61 inference(rename_variables,[],[4761])). % 219.35/219.61 cnf(13553,plain, % 219.35/219.61 (P1(f319(f55(a925),f297(a925,x135531,x135532)))), % 219.35/219.61 inference(rename_variables,[],[3776])). % 219.35/219.61 cnf(13554,plain, % 219.35/219.61 (E(f319(f319(f224(a925),f319(a104,x135541)),f319(a104,x135542)),f319(a104,f319(f319(f224(a925),x135541),x135542)))), % 219.35/219.61 inference(rename_variables,[],[3740])). % 219.35/219.61 cnf(13557,plain, % 219.35/219.61 (P1(f319(f55(a925),f297(a925,x135571,x135572)))), % 219.35/219.61 inference(rename_variables,[],[3776])). % 219.35/219.61 cnf(13558,plain, % 219.35/219.61 (E(f319(f319(f225(a925),f319(a104,x135581)),f319(a104,x135582)),f319(a104,f319(f319(f225(a925),x135581),x135582)))), % 219.35/219.61 inference(rename_variables,[],[3741])). % 219.35/219.61 cnf(13561,plain, % 219.35/219.61 (P1(f319(f55(a925),f297(a925,x135611,x135612)))), % 219.35/219.61 inference(rename_variables,[],[3776])). % 219.35/219.61 cnf(13570,plain, % 219.35/219.61 (~P1(f319(f319(f321(x135701),x135702),f180(f932(x135701,a923))))), % 219.35/219.61 inference(rename_variables,[],[4761])). % 219.35/219.61 cnf(13571,plain, % 219.35/219.61 (E(f319(f319(f16(x135711,x135712),x135713),x135714),x135713)), % 219.35/219.61 inference(rename_variables,[],[3563])). % 219.35/219.61 cnf(13574,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x135741,a923)),f319(f164(x135741),f319(f128(x135741,x135742),x135743))),f319(f164(x135741),x135743)))), % 219.35/219.61 inference(rename_variables,[],[4209])). % 219.35/219.61 cnf(13575,plain, % 219.35/219.61 (E(f319(f319(f16(x135751,x135752),x135753),x135754),x135753)), % 219.35/219.61 inference(rename_variables,[],[3563])). % 219.35/219.61 cnf(13578,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x135781,a923)),f319(f164(x135781),f319(f319(f167(x135781),x135782),x135783))),f319(f164(x135781),x135783)))), % 219.35/219.61 inference(rename_variables,[],[4252])). % 219.35/219.61 cnf(13579,plain, % 219.35/219.61 (E(f319(f319(f16(x135791,x135792),x135793),x135794),x135793)), % 219.35/219.61 inference(rename_variables,[],[3563])). % 219.35/219.61 cnf(13583,plain, % 219.35/219.61 (E(f319(f319(f16(x135831,x135832),x135833),x135834),x135833)), % 219.35/219.61 inference(rename_variables,[],[3563])). % 219.35/219.61 cnf(13596,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),f2(a1)),f319(f92(a1),x135961)))), % 219.35/219.61 inference(rename_variables,[],[3671])). % 219.35/219.61 cnf(13601,plain, % 219.35/219.61 (P26(x136011,x136011,f5(x136011),x136012)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13604,plain, % 219.35/219.61 (~P1(f319(f319(f321(x136041),x136042),f180(f932(x136041,a923))))), % 219.35/219.61 inference(rename_variables,[],[4761])). % 219.35/219.61 cnf(13605,plain, % 219.35/219.61 (E(f319(f276(x136051,x136051),f255(x136051,x136052)),x136052)), % 219.35/219.61 inference(rename_variables,[],[3533])). % 219.35/219.61 cnf(13606,plain, % 219.35/219.61 (P26(x136061,x136061,f5(x136061),x136062)), % 219.35/219.61 inference(rename_variables,[],[3806])). % 219.35/219.61 cnf(13610,plain, % 219.35/219.61 (E(f319(f276(x136101,x136101),f255(x136101,x136102)),x136102)), % 219.35/219.61 inference(rename_variables,[],[3533])). % 219.35/219.61 cnf(13615,plain, % 219.35/219.61 (P1(f319(f319(f227(f932(a1,a923)),f295(a1,f72(a1),f2(a1))),f295(a1,f2(a1),f72(a1))))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,13015,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,13454,13460,13463,13487,13601,13606,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,12966,13513,13517,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,13188,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3247,3250,3255,3258,3261,3262,3263,3272,3285,3286,3297,3302,3308,3309,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,13310,13478,13605,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,13405,13498,13571,13575,13579,13583,4156,4759,11366,11465,11711,11714,3538,3966,3560,3675,3889,3667,4739,12748,3642,13030,13067,13069,3467,3468,10670,11000,4748,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,11593,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,12747,4612,4613,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,13516,4018,12037,3556,3651,11868,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,13184,13553,13557,13561,3778,4148,3740,13554,3741,13558,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,12809,13574,4252,13578,4257,11389,12523,12599,12659,12703,13408,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,13449,13469,13490,4769,11131,11545,12663,13457,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,13421,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,13369,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,13358,13482,13501,13504,13550,13570,13604,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,13530,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,13259,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,3551,4743,4549,3878,12033,12116,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,13438,4013,11301,11307,11327,12335,12465,12544,12834,12866,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,13380,4339,4015,11033,11408,11579,11613,11627,12773,12823,13474,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,11220,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,49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,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237,9291,9292,9414,9449,9475,9508,9551,9748,9874,10032,10226,10283,10286,5346,6094,6636,6637,6727,6747,6748,6803,6804,7172,7391,8528,8809,9057,9248,9249,9318,9319,9503,9599,9600,9601,9602,9813,10100,10114,10488,10489,6709,8636])). % 219.35/219.61 cnf(13624,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),f2(a925)),x136241))), % 219.35/219.61 inference(rename_variables,[],[3593])). % 219.35/219.61 cnf(13625,plain, % 219.35/219.61 (P1(f319(f319(f227(a925),f2(a925)),f319(a104,x136251)))), % 219.35/219.61 inference(rename_variables,[],[3651])). % 219.35/219.61 cnf(13626,plain, % 219.35/219.61 (E(f319(f276(x136261,x136261),f255(x136261,x136262)),x136262)), % 219.35/219.61 inference(rename_variables,[],[3533])). % 219.35/219.61 cnf(13651,plain, % 219.35/219.61 (~E(f319(f319(f143(x136511),x136512),x136513),f319(f160(x136511),f105(x136511)))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,13015,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,13454,13460,13463,13487,13601,13606,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,12966,13513,13517,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,13188,13541,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3242,3247,3250,3255,3258,3261,3262,3263,3272,3276,3285,3286,3297,3302,3308,3309,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,13310,13478,13605,13610,13626,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,13405,13498,13571,13575,13579,13583,4156,4759,11366,11465,11711,11714,3538,3966,3560,3675,3889,3667,4739,12748,3642,13030,13067,13069,3467,3468,10670,11000,4748,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,11593,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,12747,4612,4613,3750,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,13516,13521,4018,12037,3556,3651,11868,12147,13625,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,13420,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,13184,13553,13557,13561,3778,4148,3740,13554,3741,13558,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,12809,13574,4252,13578,4257,11389,12523,12599,12659,12703,13408,4258,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,13449,13469,13490,4769,11131,11545,12663,13457,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,13421,13544,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,13369,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,13358,13482,13501,13504,13550,13570,13604,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,13530,13596,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,13259,13537,13624,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,3551,4743,4549,3878,12033,12116,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,13438,4013,11301,11307,11327,12335,12465,12544,12834,12866,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,13380,4339,4015,11033,11408,11579,11613,11627,12773,12823,13474,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,11220,13520,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237,9291,9292,9414,9449,9475,9508,9551,9748,9874,10032,10226,10283,10286,5346,6094,6636,6637,6727,6747,6748,6803,6804,7172,7391,8528,8809,9057,9248,9249,9318,9319,9503,9599,9600,9601,9602,9813,10100,10114,10488,10489,6709,8636,8637,9114,9132,10101,10487,4835,4867,4868,4871,4913])). % 219.35/219.61 cnf(13703,plain, % 219.35/219.61 (~P1(f319(f319(f227(a1),f2(a1)),f2(a1)))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,13015,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,13454,13460,13463,13487,13601,13606,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,12966,13513,13517,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,13188,13541,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3242,3247,3250,3255,3258,3261,3262,3263,3272,3276,3285,3286,3297,3302,3308,3309,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,13310,13478,13605,13610,13626,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,13405,13498,13571,13575,13579,13583,4156,4759,11366,11465,11711,11714,3538,3966,3560,3675,3889,3667,4739,12748,3642,13030,13067,13069,3467,3468,10670,11000,4748,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,11593,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,12747,4612,4613,3750,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,13516,13521,4018,12037,3556,3651,11868,12147,13625,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,13420,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,13184,13553,13557,13561,3778,4148,3740,13554,3741,13558,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,12809,13574,4252,13578,4257,11389,12523,12599,12659,12703,13408,4258,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,13449,13469,13490,4769,11131,11545,12663,13457,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,13421,13544,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,13369,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,13358,13482,13501,13504,13550,13570,13604,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,13530,13596,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,13259,13537,13624,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,3551,4743,4549,3878,12033,12116,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,13438,4013,11301,11307,11327,12335,12465,12544,12834,12866,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,13380,4339,4015,11033,11408,11579,11613,11627,12773,12823,13474,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,11220,13520,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237,9291,9292,9414,9449,9475,9508,9551,9748,9874,10032,10226,10283,10286,5346,6094,6636,6637,6727,6747,6748,6803,6804,7172,7391,8528,8809,9057,9248,9249,9318,9319,9503,9599,9600,9601,9602,9813,10100,10114,10488,10489,6709,8636,8637,9114,9132,10101,10487,4835,4867,4868,4871,4913,4917,4922,4963,5060,5107,5108,5139,5198,5201,5260,5398,5437,5438,5440,5447,5448,5472,5509,5540,5562,5695,5767,5768,5769,5829,5887])). % 219.35/219.61 cnf(13705,plain, % 219.35/219.61 (P1(f319(f319(f227(a1),f2(a1)),f319(f69(a1),f72(a1))))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,13015,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,13454,13460,13463,13487,13601,13606,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,12966,13513,13517,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,13188,13541,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3242,3247,3250,3255,3258,3261,3262,3263,3272,3276,3285,3286,3297,3302,3308,3309,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,13310,13478,13605,13610,13626,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,13405,13498,13571,13575,13579,13583,4156,4759,11366,11465,11711,11714,3538,3966,3560,3675,3889,3667,4739,12748,3642,13030,13067,13069,3467,3468,10670,11000,4748,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,11593,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,12747,4612,4613,3750,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,13516,13521,4018,12037,3556,3651,11868,12147,13625,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,13420,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,13184,13553,13557,13561,3778,4148,3740,13554,3741,13558,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,12809,13574,4252,13578,4257,11389,12523,12599,12659,12703,13408,4258,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,13449,13469,13490,4769,11131,11545,12663,13457,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,13421,13544,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,13369,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,13358,13482,13501,13504,13550,13570,13604,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,13530,13596,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,13259,13537,13624,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,3551,4743,4549,3878,12033,12116,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,13438,4013,11301,11307,11327,12335,12465,12544,12834,12866,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,13380,4339,4015,11033,11408,11579,11613,11627,12773,12823,13474,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,11220,13520,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237,9291,9292,9414,9449,9475,9508,9551,9748,9874,10032,10226,10283,10286,5346,6094,6636,6637,6727,6747,6748,6803,6804,7172,7391,8528,8809,9057,9248,9249,9318,9319,9503,9599,9600,9601,9602,9813,10100,10114,10488,10489,6709,8636,8637,9114,9132,10101,10487,4835,4867,4868,4871,4913,4917,4922,4963,5060,5107,5108,5139,5198,5201,5260,5398,5437,5438,5440,5447,5448,5472,5509,5540,5562,5695,5767,5768,5769,5829,5887,5888])). % 219.35/219.61 cnf(13725,plain, % 219.35/219.61 (~P1(f319(f55(x137251),f31(f932(x137251,a923),f234(f932(f932(x137251,a923),a923)))))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,13015,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,13454,13460,13463,13487,13601,13606,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,12966,13513,13517,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,13188,13541,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3242,3247,3250,3255,3258,3261,3262,3263,3272,3276,3285,3286,3297,3302,3308,3309,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,13310,13478,13605,13610,13626,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,13405,13498,13571,13575,13579,13583,4156,4759,11366,11465,11711,11714,3538,3966,3560,3675,3889,3667,4739,12748,3642,13030,13067,13069,3467,3468,10670,11000,4748,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,11593,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,12747,4612,4613,3750,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,13516,13521,4018,12037,3556,3651,11868,12147,13625,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,13420,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,13184,13553,13557,13561,3778,4148,3740,13554,3741,13558,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,12809,13574,4252,13578,4257,11389,12523,12599,12659,12703,13408,4258,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,13449,13469,13490,4769,11131,11545,12663,13457,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,13421,13544,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,13369,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,13358,13482,13501,13504,13550,13570,13604,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,13530,13596,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,13259,13537,13624,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,3551,4743,4549,3878,12033,12116,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,13438,4013,11301,11307,11327,12335,12465,12544,12834,12866,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,13380,4339,4015,11033,11408,11579,11613,11627,12773,12823,13474,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,11220,13520,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237,9291,9292,9414,9449,9475,9508,9551,9748,9874,10032,10226,10283,10286,5346,6094,6636,6637,6727,6747,6748,6803,6804,7172,7391,8528,8809,9057,9248,9249,9318,9319,9503,9599,9600,9601,9602,9813,10100,10114,10488,10489,6709,8636,8637,9114,9132,10101,10487,4835,4867,4868,4871,4913,4917,4922,4963,5060,5107,5108,5139,5198,5201,5260,5398,5437,5438,5440,5447,5448,5472,5509,5540,5562,5695,5767,5768,5769,5829,5887,5888,5914,5918,5977,5988,5994,6075,6160,6309,6364,6473])). % 219.35/219.61 cnf(13759,plain, % 219.35/219.61 (~P1(f319(f319(f226(f932(a1,a923)),f319(f302(a925,a1,f92(a1)),f295(a925,f2(a925),f2(a925)))),f319(f302(a925,a1,f92(a1)),f295(a925,f319(a104,f2(a925)),x137591))))), % 219.35/219.61 inference(scs_inference,[],[4728,4224,12856,12881,13011,13013,13015,3806,11460,12526,12629,12632,12724,12766,12770,12778,12850,12992,12994,13439,13445,13450,13454,13460,13463,13487,13601,13606,3815,12596,13095,13097,3822,3542,12986,12988,12990,3543,13053,3509,12935,4736,4737,12113,4498,13084,3546,13080,3385,3441,13034,3442,13024,3443,3444,3445,12806,13019,4735,3864,4716,10537,10547,10560,10571,10574,10678,10681,10684,10786,10921,11233,11430,11433,11452,11455,11657,11760,11767,11781,11827,11830,11852,11869,11884,11947,12004,12020,12311,12339,12353,12382,12388,12482,12592,12759,12820,12966,13513,13517,3627,3591,13074,3774,12283,3493,4722,10770,10870,11340,11440,13188,13541,3182,3183,3185,3186,3189,3190,3192,3193,3194,3196,3199,3203,3204,3205,3206,3209,3210,3212,3213,3222,3227,3230,3234,3235,3241,3242,3247,3250,3255,3258,3261,3262,3263,3272,3276,3285,3286,3297,3302,3308,3309,3312,3320,3326,3331,3335,3336,3337,3338,3345,3349,3350,3363,3464,4713,3368,3440,4714,3905,4130,12051,3418,11757,3554,3530,3533,10609,10612,10705,10708,11024,11772,11775,11895,11934,11939,12046,12500,12700,12913,12968,12970,12980,12982,12984,13001,13007,13009,13042,13051,13310,13478,13605,13610,13626,3504,12791,12795,12799,3510,3519,4025,4327,3487,13370,3638,12853,12938,3407,3408,3768,4116,11803,3626,13059,3470,3404,3431,3883,3427,3535,4233,4124,3947,3414,3415,3389,3395,4037,3451,3628,11183,11310,12593,12810,3503,4198,4730,10600,10767,11654,11855,12751,12792,12796,4733,12763,3563,12132,12135,13405,13498,13571,13575,13579,13583,4156,4759,11366,11465,11711,11714,3538,3966,3560,3675,3889,3667,4739,12748,3642,13030,13067,13069,3467,3468,10670,11000,4748,3727,3459,3386,3489,11793,4341,12781,12925,4200,11386,11521,11582,12735,12741,12870,12873,12903,4777,11285,11534,11648,11677,11717,11723,12679,4778,11419,11537,11651,4779,11540,11593,4780,11600,4781,3488,3766,12635,12676,12762,3931,3715,12747,4612,4613,3750,3787,4727,11786,3909,3866,3911,4080,3835,13293,13297,13301,13305,13315,4126,12626,3752,4008,3639,10689,10809,10887,10960,10963,11003,11107,11356,11619,11981,12223,12307,12375,12453,12491,12564,12567,12907,13171,13210,13213,13276,13516,13521,4018,12037,3556,3651,11868,12147,13625,3828,4754,10577,10580,10606,10730,10905,11115,11128,11243,11697,11796,11980,12198,12203,12222,12429,12432,12512,12682,12785,13117,13136,13139,13163,13214,13386,13391,13415,13420,4765,11911,11942,11977,11984,12017,13223,13227,4005,3775,13398,3776,12328,13142,13145,13148,13151,13181,13184,13553,13557,13561,3778,4148,3740,13554,3741,13558,3599,3601,3575,4751,3466,4724,3957,4263,3759,4766,4334,11674,3888,3611,12153,12156,12600,12704,12884,4757,10565,10568,10738,10833,10852,10859,10882,10890,10893,10910,11098,11343,11562,11862,11956,12102,12216,12219,4303,4262,12300,12650,4209,11180,12485,12660,12809,13574,4252,13578,4257,11389,12523,12599,12659,12703,13408,4258,3932,11988,12310,12460,12531,12583,4291,3949,10733,10830,11392,11470,11555,11622,12481,12545,12815,12880,12900,12910,13377,13444,13449,13469,13490,4769,11131,11545,12663,13457,3572,10698,10796,10946,11010,11087,11134,11137,11168,11191,11227,11265,11304,12105,12150,12280,12338,12356,12359,12362,12365,12538,12552,12555,12558,12561,12643,12707,12826,12876,13164,13187,13238,13250,13268,13279,13284,13287,13290,13323,13340,13397,13426,13429,3573,10725,10781,11015,11110,11230,11887,12181,12184,12195,12286,12297,12316,12321,12368,12391,12408,13178,13327,13347,13387,13392,13416,13421,13544,3574,12570,12573,3647,12515,13247,13294,13298,13302,13306,13316,13320,4750,10617,10646,11152,11194,11203,11660,12065,12086,12254,12257,12260,12263,12352,12371,12374,12387,12441,12444,12447,12450,12611,12614,12710,12713,12819,12859,12947,3722,10875,10966,11238,11282,11524,11527,11608,11694,11872,12758,12950,13369,4761,11161,11274,11295,11298,11369,11372,11383,11486,11496,11508,11548,11567,11576,11616,11663,11668,11671,11688,11691,11726,11729,11734,11737,11740,11743,11987,12129,12162,12435,12438,12472,12516,12541,12688,12732,12738,12838,12841,12863,12924,12930,12941,12954,12960,13246,13262,13265,13358,13482,13501,13504,13550,13570,13604,3632,10997,11027,11036,11039,11042,11640,12860,12877,13224,13228,13231,13234,3671,13530,13596,3664,4084,4023,10649,12040,12068,13205,4758,10597,10985,10988,11489,11505,12003,12056,12090,12213,12242,12245,12248,12251,12511,13432,3593,11030,11188,11258,12069,12212,12413,12619,12644,13237,13259,13537,13624,4047,12159,13158,4382,3781,4755,4058,4092,4742,4745,4746,3549,3553,4744,3551,4743,4549,3878,12033,12116,4476,11894,4771,10896,10899,4776,11375,11378,11570,11685,11702,11749,4166,11746,12089,12093,12769,12777,12869,13373,13438,4013,11301,11307,11327,12335,12465,12544,12834,12866,3862,11445,11573,12576,12685,12695,12774,12829,12837,12957,13380,4339,4015,11033,11408,11579,11613,11627,12773,12823,13474,3723,3829,10949,10952,11045,11214,3831,4774,12034,4770,13126,4775,10789,10902,12638,12647,12691,12894,4437,11171,12656,12671,12694,4345,4046,12963,3991,3992,4772,10622,10625,10991,10994,11908,12094,12906,4773,12014,12099,4016,10955,11220,13520,4276,4788,4814,4869,4873,4897,4912,4919,4921,4957,4962,4991,4997,5083,5109,5110,5125,5147,5176,5177,5199,5200,5214,5217,5242,5248,5264,5268,5269,5270,5275,5276,5301,5327,5329,5330,5340,5345,5354,5390,5391,5399,5408,5412,5414,5428,5430,5436,5441,5442,5455,5461,5464,5465,5469,5496,5510,5519,5521,5522,5525,5526,5527,5537,5539,5545,5546,5547,5553,5557,5558,5559,5567,5571,5572,5578,5591,5599,5611,5613,5621,5623,5624,5627,5631,5657,5671,5672,5687,5699,5721,5727,5749,5750,5753,5772,5780,5781,5786,5787,5797,5799,5811,5815,5824,5825,5827,5828,5844,5849,5859,5860,5871,5878,5892,5896,5899,5905,5906,5907,5910,5915,5951,5952,5955,5957,5959,5961,5962,5963,5965,5967,5969,5974,5981,5996,6010,6016,6017,6020,6031,6032,6039,6044,6046,6051,6059,6098,6113,6122,6125,6134,6138,6139,6140,6141,6142,6147,6152,6162,6168,6186,6190,6199,6231,6245,6269,6286,6287,6290,6304,6306,6308,6310,6325,6326,6329,6331,6334,6335,6349,6357,6358,6359,6361,6363,6398,6399,6404,6407,6414,6418,6452,6454,6456,6458,6467,6469,6471,6477,6479,6484,6487,6495,6503,6505,6506,6513,6534,6535,6536,6537,6538,6540,6546,6551,6585,6586,6589,6590,6591,6593,6594,6595,6596,6606,6638,6639,6640,6649,6670,6671,6693,6695,6707,6708,6714,6744,6746,6760,6764,6799,6801,6802,6860,6883,6929,6949,6958,6959,6960,6961,6979,6980,6987,6999,7002,7004,7006,7007,7008,7010,7024,7035,7036,7037,7050,7107,7118,7120,7142,7143,7177,7184,7189,7220,7249,7306,7335,7392,7413,7421,7425,7485,7495,7555,7557,7571,7580,7581,7582,7598,7602,7604,7650,7660,7663,7678,7724,7726,7729,7772,7773,7791,7861,7879,7903,7926,7938,7952,7963,7974,7975,8001,8003,8005,8014,8053,8065,8090,8117,8150,8183,8217,8256,8272,8274,8290,8291,8356,8367,8434,8458,8463,8478,8505,8506,8545,8546,8564,8603,8605,8607,8614,8629,8633,8648,8671,8679,8681,8691,8696,8700,8701,8702,8703,8704,8705,8727,8741,8742,8760,8761,8766,8767,8768,8769,8770,8788,8789,8790,8801,8814,8817,8828,8833,8835,8837,8838,8839,8846,8852,8860,8863,8880,8881,8890,8891,8899,8918,8931,8935,8956,8978,8979,8982,8983,8989,8999,9000,9023,9034,9044,9045,9046,9049,9072,9073,9084,9134,9140,9146,9148,9164,9167,9178,9179,9180,9191,9257,9288,9289,9290,9305,9322,9330,9331,9359,9360,9431,9464,9470,9480,9481,9482,9492,9521,9537,9541,9545,9568,9569,9596,9661,9666,9669,9702,9703,9704,9728,9729,9745,9766,9771,9774,9786,9811,9832,9841,9842,9843,9844,9860,9862,9867,9897,9898,9904,9905,9907,9957,9958,9971,9972,9999,10019,10022,10031,10036,10044,10069,10106,10108,10112,10162,10199,10207,10209,10213,10214,10227,10228,10248,10253,10284,10349,10437,10438,10439,10440,10502,10521,2,8,9,4801,4802,4820,4862,4863,4865,4888,4890,4891,4901,4946,4948,4996,5126,5127,5141,5165,5220,5221,5227,5228,5230,5232,5241,5244,5245,5253,5266,5267,5273,5294,5295,5316,5321,5322,5323,5324,5328,5336,5339,5347,5348,5349,5405,5410,5411,5416,5422,5452,5462,5467,5477,5494,5495,5502,5503,5504,5515,5533,5535,5536,5543,5550,5551,5563,5564,5565,5566,5568,5569,5574,5575,5576,5577,5607,5608,5609,5617,5618,5619,5620,5663,5668,5670,5706,5708,5709,5711,5712,5714,5715,5717,5726,5731,5732,5733,5735,5737,5738,5739,5740,5741,5742,5751,5761,5764,5775,5791,5792,5795,5805,5807,5808,5809,5836,5846,5862,5863,5872,5873,5875,5877,5882,5917,5922,5924,5983,6018,6019,6024,6030,6033,6034,6035,6036,6056,6060,6061,6071,6093,6126,6145,6146,6150,6151,6153,6176,6180,6183,6184,6185,6201,6215,6216,6247,6248,6252,6271,6274,6277,6298,6299,6327,6330,6338,6348,6356,6360,6368,6369,6370,6371,6401,6419,6470,6507,6509,6510,6531,6532,6539,6543,6544,6547,6562,6577,6598,6599,6604,6607,6616,6631,6652,6658,6660,6675,6676,6679,6680,6682,6684,6685,6686,6688,6690,6694,6700,6701,6703,6704,6710,6712,6754,6759,6775,6777,6778,6779,6816,6821,6823,6828,6829,6839,6842,6855,6878,6879,6881,6882,6894,6898,6901,6921,6924,6943,6962,6973,6974,6975,6981,6995,7014,7016,7018,7020,7025,7031,7033,7047,7052,7053,7092,7093,7094,7109,7110,7112,7113,7133,7134,7149,7175,7197,7209,7211,7213,7215,7216,7246,7247,7248,7252,7253,7260,7261,7263,7265,7287,7297,7298,7309,7319,7359,7369,7375,7382,7393,7398,7400,7407,7415,7429,7446,7467,7469,7488,7541,7542,7543,7545,7547,7551,7556,7618,7646,7661,7677,7708,7711,7732,7756,7774,7777,7778,7788,7808,7810,7812,7814,7815,7816,7817,7818,7843,7869,7870,7902,7904,7905,7906,7911,7932,7949,7954,7960,7962,7970,7982,7983,7985,8006,8012,8034,8103,8104,8105,8153,8160,8161,8185,8186,8203,8204,8205,8263,8264,8293,8323,8332,8346,8359,8390,8394,8400,8412,8430,8435,8457,8503,8533,8547,8567,8570,8596,8623,8682,8683,8686,8687,8758,8792,8793,8794,8795,8823,8855,8884,8892,8893,8934,8955,9001,9017,9063,9066,9081,9088,9131,9174,9175,9193,9194,9208,9327,9333,9337,9357,9368,9393,9395,9398,9404,9406,9407,9417,9418,9438,9446,9456,9463,9506,9525,9546,9581,9582,9588,9627,9653,9658,9698,9708,9711,9712,9714,9715,9727,9750,9765,9776,9777,9779,9781,9809,9935,9936,9994,9995,10037,10074,10187,10257,10276,10410,10429,10434,3,2897,2903,2904,2905,2906,2907,2908,2909,2921,2925,2926,2928,2934,2935,2936,2937,2938,2939,2940,2951,2958,2959,2960,2962,2972,2974,2975,2976,2977,2978,2981,2982,2983,2984,2987,2988,2989,2996,2998,3007,3008,3009,3010,3011,3015,3020,3021,3022,3024,3025,3030,3035,3046,3047,3048,3057,3058,3059,3061,3062,3064,3065,3069,3071,3078,3079,3084,3085,3101,3103,3122,3125,3126,3127,3140,3141,3142,3144,3145,3148,3149,3154,3155,5404,5493,5532,5679,5680,5681,5762,5861,5891,5925,5941,5943,5949,6011,6012,6013,6014,6022,6058,6196,6236,6246,6268,6302,6339,6486,6491,6529,6530,6552,6555,6557,6564,6565,6566,6567,6568,6569,6570,6571,6653,6724,6725,6815,6850,6851,6891,6892,6935,7032,7046,7104,7121,7122,7128,7150,7181,7183,7230,7250,7251,7269,7270,7308,7353,7354,7453,7522,7523,7524,7525,7540,7572,7623,7624,7632,7637,7638,7649,7680,7681,7682,7683,7825,7827,7828,7829,7835,7836,8040,8043,8049,8050,8062,8100,8101,8181,8222,8276,8298,8299,8375,8471,8543,8544,8548,8582,8619,8644,8645,8714,8734,8735,8736,8737,8888,9150,9151,9223,9237,9291,9292,9414,9449,9475,9508,9551,9748,9874,10032,10226,10283,10286,5346,6094,6636,6637,6727,6747,6748,6803,6804,7172,7391,8528,8809,9057,9248,9249,9318,9319,9503,9599,9600,9601,9602,9813,10100,10114,10488,10489,6709,8636,8637,9114,9132,10101,10487,4835,4867,4868,4871,4913,4917,4922,4963,5060,5107,5108,5139,5198,5201,5260,5398,5437,5438,5440,5447,5448,5472,5509,5540,5562,5695,5767,5768,5769,5829,5887,5888,5914,5918,5977,5988,5994,6075,6160,6309,6364,6473,6597,6757,6968,7225,7396,7607,7625,7687,8018,8021,8180,8273,8279,8981,9112,9220,9321])). % 219.35/219.61 cnf(13923,plain, % 219.35/219.61 (~P1(f319(f319(f321(x139231),x139232),f319(f302(x139233,x139231,x139234),f319(f302(x139235,x139233,x139236),f180(f932(x139235,a923))))))), % 219.35/219.61 inference(rename_variables,[],[11550])). % 219.35/219.61 cnf(13933,plain, % 219.35/219.61 (E(f319(x139331,f895(x139331,x139332,f319(x139331,x139333))),f319(x139331,x139333))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(13940,plain, % 219.35/219.61 (E(f319(x139401,f895(x139401,x139402,f319(x139401,x139403))),f319(x139401,x139403))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(13943,plain, % 219.35/219.61 (P1(f319(f319(f227(a1),x139431),f319(f319(f74(a1),x139431),f72(a1))))), % 219.35/219.61 inference(rename_variables,[],[11229])). % 219.35/219.61 cnf(13946,plain, % 219.35/219.61 (P1(f319(f319(f227(a1),x139461),f319(f319(f74(a1),x139461),f72(a1))))), % 219.35/219.61 inference(rename_variables,[],[11229])). % 219.35/219.61 cnf(13951,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),x139511),f319(f181(f926(x139512)),f105(x139512))))), % 219.35/219.61 inference(rename_variables,[],[12923])). % 219.35/219.61 cnf(13964,plain, % 219.35/219.61 (E(f319(x139641,f895(x139641,x139642,f319(x139641,x139643))),f319(x139641,x139643))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(13990,plain, % 219.35/219.61 (~P1(f319(f319(f321(x139901),x139902),f319(f302(x139903,x139901,x139904),f319(f302(x139905,x139903,x139906),f180(f932(x139905,a923))))))), % 219.35/219.61 inference(rename_variables,[],[11550])). % 219.35/219.61 cnf(13993,plain, % 219.35/219.61 (E(f319(x139931,f895(x139931,x139932,f319(x139931,x139933))),f319(x139931,x139933))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(13999,plain, % 219.35/219.61 (E(f319(x139991,f895(x139991,x139992,f319(x139991,x139993))),f319(x139991,x139993))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(14002,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140021,x140022)),x140023),f319(f302(f931(x140024,x140024),f931(x140021,x140022),f250(x140024,x140021,x140024,x140022,x140025,x140026)),f145(x140024,f105(f932(x140024,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14005,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140051,x140052)),x140053),f319(f302(f931(x140054,x140054),f931(x140051,x140052),f250(x140054,x140051,x140054,x140052,x140055,x140056)),f145(x140054,f105(f932(x140054,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14008,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140081,x140082)),x140083),f319(f302(f931(x140084,x140084),f931(x140081,x140082),f250(x140084,x140081,x140084,x140082,x140085,x140086)),f145(x140084,f105(f932(x140084,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14011,plain, % 219.35/219.61 (~P1(f319(f319(f321(x140111),x140112),f319(f302(x140113,x140111,x140114),f319(f302(x140115,x140113,x140116),f180(f932(x140115,a923))))))), % 219.35/219.61 inference(rename_variables,[],[11550])). % 219.35/219.61 cnf(14014,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140141,x140142)),x140143),f319(f302(f931(x140144,x140144),f931(x140141,x140142),f250(x140144,x140141,x140144,x140142,x140145,x140146)),f145(x140144,f105(f932(x140144,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14017,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140171,x140172)),x140173),f319(f302(f931(x140174,x140174),f931(x140171,x140172),f250(x140174,x140171,x140174,x140172,x140175,x140176)),f145(x140174,f105(f932(x140174,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14020,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140201,x140202)),x140203),f319(f302(f931(x140204,x140204),f931(x140201,x140202),f250(x140204,x140201,x140204,x140202,x140205,x140206)),f145(x140204,f105(f932(x140204,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14023,plain, % 219.35/219.61 (~P1(f319(f319(f321(x140231),x140232),f319(f302(x140233,x140231,x140234),f319(f302(x140235,x140233,x140236),f180(f932(x140235,a923))))))), % 219.35/219.61 inference(rename_variables,[],[11550])). % 219.35/219.61 cnf(14026,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140261,x140261)),x140262),f255(x140261,f180(f932(x140261,a923)))))), % 219.35/219.61 inference(rename_variables,[],[11294])). % 219.35/219.61 cnf(14031,plain, % 219.35/219.61 (E(f319(x140311,f895(x140311,x140312,f319(x140311,x140313))),f319(x140311,x140313))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(14039,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140391,x140392)),x140393),f319(f302(f931(x140394,x140394),f931(x140391,x140392),f250(x140394,x140391,x140394,x140392,x140395,x140396)),f145(x140394,f105(f932(x140394,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14042,plain, % 219.35/219.61 (~E(f319(f319(f143(x140421),x140422),x140423),f319(f160(x140421),f105(x140421)))), % 219.35/219.61 inference(rename_variables,[],[13651])). % 219.35/219.61 cnf(14047,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x140471,x140472)),x140473),f319(f302(f931(x140474,x140474),f931(x140471,x140472),f250(x140474,x140471,x140474,x140472,x140475,x140476)),f145(x140474,f105(f932(x140474,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14052,plain, % 219.35/219.61 (~P1(f319(f319(f247(x140521,x140522,a923,f319(f164(x140523),f105(x140523))),x140524),x140525))), % 219.35/219.61 inference(rename_variables,[],[11561])). % 219.35/219.61 cnf(14068,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x140681,a923)),f319(f277(x140682,x140681,x140683),f180(f932(x140682,a923)))),x140684))), % 219.35/219.61 inference(rename_variables,[],[11626])). % 219.35/219.61 cnf(14071,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x140711,a923)),x140712),f319(f319(f102(f932(x140711,a923)),x140713),f234(f932(x140711,a923)))))), % 219.35/219.61 inference(rename_variables,[],[11554])). % 219.35/219.61 cnf(14080,plain, % 219.35/219.61 (E(f319(x140801,f895(x140801,x140802,f319(x140801,x140803))),f319(x140801,x140803))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(14085,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x140851,a923)),f319(f277(x140852,x140851,f180(f932(f931(x140852,x140851),a923))),x140853)),x140854))), % 219.35/219.61 inference(rename_variables,[],[11578])). % 219.35/219.61 cnf(14092,plain, % 219.35/219.61 (~P1(f319(f319(f321(x140921),x140922),f319(f302(x140923,x140921,x140924),f319(f302(x140925,x140923,x140926),f180(f932(x140925,a923))))))), % 219.35/219.61 inference(rename_variables,[],[11550])). % 219.35/219.61 cnf(14095,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f926(x140951),f926(x140951))),f319(f319(f244(f926(x140951),f926(x140951)),x140952),x140953)),f149(x140951,f145(x140951,f105(f932(x140951,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11701])). % 219.35/219.61 cnf(14098,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x140981,a923)),x140982),f319(f319(f102(f932(x140981,a923)),x140983),x140982)))), % 219.35/219.61 inference(rename_variables,[],[4153])). % 219.35/219.61 cnf(14101,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f926(x141011),f926(x141011))),f319(f319(f244(f926(x141011),f926(x141011)),x141012),f105(x141011))),f319(f278(f926(x141011),f926(x141011)),f149(x141011,x141013))))), % 219.35/219.61 inference(rename_variables,[],[11592])). % 219.35/219.61 cnf(14106,plain, % 219.35/219.61 (P1(f319(f319(f227(a1),f319(f319(f23(a1),x141061),f72(a1))),x141061))), % 219.35/219.61 inference(rename_variables,[],[11109])). % 219.35/219.61 cnf(14111,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x141111,x141112)),x141113),f319(f302(f931(x141114,x141114),f931(x141111,x141112),f250(x141114,x141111,x141114,x141112,x141115,x141116)),f145(x141114,f105(f932(x141114,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14118,plain, % 219.35/219.61 (~E(x141181,f319(f319(f143(x141182),x141183),x141181))), % 219.35/219.61 inference(rename_variables,[],[11226])). % 219.35/219.61 cnf(14121,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x141211,a923)),f319(f319(f93(f932(x141211,a923)),x141212),x141213)),x141212))), % 219.35/219.61 inference(rename_variables,[],[4277])). % 219.35/219.61 cnf(14124,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f926(x141241),f926(x141241))),f319(f319(f244(f926(x141241),f926(x141241)),x141242),x141243)),f149(x141241,f145(x141241,f105(f932(x141241,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11701])). % 219.35/219.61 cnf(14135,plain, % 219.35/219.61 (~P1(f319(f319(f247(x141351,x141352,a923,f319(f164(x141353),f105(x141353))),x141354),x141355))), % 219.35/219.61 inference(rename_variables,[],[11561])). % 219.35/219.61 cnf(14140,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),x141401),f319(f319(f74(a925),x141402),x141401)))), % 219.35/219.61 inference(rename_variables,[],[3830])). % 219.35/219.61 cnf(14145,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f932(x141451,a923),f932(x141451,a923))),f319(f319(f244(f932(x141451,a923),f932(x141451,a923)),x141452),f180(f932(x141451,a923)))),f306(x141451)))), % 219.35/219.61 inference(rename_variables,[],[11605])). % 219.35/219.61 cnf(14148,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x141481,x141482)),x141483),f319(f302(f931(x141484,x141484),f931(x141481,x141482),f250(x141484,x141481,x141484,x141482,x141485,x141486)),f145(x141484,f105(f932(x141484,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14155,plain, % 219.35/219.61 (~E(f319(f250(x141551,x141552,x141553,x141553,f302(x141554,f932(x141554,a923),x141555),f25(x141553)),x141556),f319(f250(x141551,x141552,x141553,x141553,f300(x141554),f25(x141553)),x141556))), % 219.35/219.61 inference(rename_variables,[],[11710])). % 219.35/219.61 cnf(14160,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),x141601),f319(f319(f74(a925),x141602),x141601)))), % 219.35/219.61 inference(rename_variables,[],[3830])). % 219.35/219.61 cnf(14169,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x141691,a923)),f319(f164(x141691),f319(f319(f130(x141691),x141692),x141693))),f319(f164(x141691),x141693)))), % 219.35/219.61 inference(rename_variables,[],[4253])). % 219.35/219.61 cnf(14172,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),f39(a925,x141721,f180(a925))),x141721))), % 219.35/219.61 inference(rename_variables,[],[12180])). % 219.35/219.61 cnf(14182,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x141821,a923)),f319(f277(x141822,x141821,f180(f932(f931(x141822,x141821),a923))),x141823)),x141824))), % 219.35/219.61 inference(rename_variables,[],[11578])). % 219.35/219.61 cnf(14185,plain, % 219.35/219.61 (~P1(f319(f319(f247(x141851,x141852,a923,f319(f164(x141853),f105(x141853))),x141854),x141855))), % 219.35/219.61 inference(rename_variables,[],[11561])). % 219.35/219.61 cnf(14196,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),f319(f319(f102(a925),x141961),x141962)),x141962))), % 219.35/219.61 inference(rename_variables,[],[12253])). % 219.35/219.61 cnf(14199,plain, % 219.35/219.61 (E(f319(f73(f932(x141991,a923)),f319(f73(f932(x141991,a923)),x141992)),x141992)), % 219.35/219.61 inference(rename_variables,[],[3697])). % 219.35/219.61 cnf(14212,plain, % 219.35/219.61 (~P1(f319(f319(f247(x142121,x142122,a923,f319(f164(x142123),f105(x142123))),x142124),x142125))), % 219.35/219.61 inference(rename_variables,[],[11561])). % 219.35/219.61 cnf(14217,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f926(x142171),f926(x142171))),f319(f319(f244(f926(x142171),f926(x142171)),x142172),x142173)),f149(x142171,f145(x142171,f105(f932(x142171,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11701])). % 219.35/219.61 cnf(14220,plain, % 219.35/219.61 (E(f319(x142201,f895(x142201,x142202,f319(x142201,x142203))),f319(x142201,x142203))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(14229,plain, % 219.35/219.61 (~P1(f319(f319(f61(f926(x142291),f926(x142291),f137(x142291,x142292)),x142293),f105(x142291)))), % 219.35/219.61 inference(rename_variables,[],[11416])). % 219.35/219.61 cnf(14232,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),x142321),f319(a104,x142321)))), % 219.35/219.61 inference(rename_variables,[],[10691])). % 219.35/219.61 cnf(14237,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x142371,x142371)),x142372),f255(x142371,f180(f932(x142371,a923)))))), % 219.35/219.61 inference(rename_variables,[],[11294])). % 219.35/219.61 cnf(14240,plain, % 219.35/219.61 (~P1(f319(f319(f247(x142401,x142402,a923,f319(f164(x142403),f105(x142403))),x142404),x142405))), % 219.35/219.61 inference(rename_variables,[],[11561])). % 219.35/219.61 cnf(14263,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x142631,a923)),f319(f319(f93(f932(x142631,a923)),x142632),x142633)),x142632))), % 219.35/219.61 inference(rename_variables,[],[4277])). % 219.35/219.61 cnf(14266,plain, % 219.35/219.61 (~P1(f319(f319(f247(x142661,x142662,a923,f319(f164(x142663),f105(x142663))),x142664),x142665))), % 219.35/219.61 inference(rename_variables,[],[11561])). % 219.35/219.61 cnf(14271,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),f39(a925,x142711,f180(a925))),x142711))), % 219.35/219.61 inference(rename_variables,[],[12180])). % 219.35/219.61 cnf(14274,plain, % 219.35/219.61 (~P1(f319(f60(a925,x142741,x142742,x142743,f234(f932(a925,a923))),x142744))), % 219.35/219.61 inference(rename_variables,[],[11629])). % 219.35/219.61 cnf(14287,plain, % 219.35/219.61 (E(f319(f73(f932(x142871,a923)),f319(f73(f932(x142871,a923)),x142872)),x142872)), % 219.35/219.61 inference(rename_variables,[],[3697])). % 219.35/219.61 cnf(14292,plain, % 219.35/219.61 (~P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(a104,x142921)),x142922)),x142922))), % 219.35/219.61 inference(rename_variables,[],[13360])). % 219.35/219.61 cnf(14297,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x142971,x142972)),x142973),f319(f302(f931(x142974,x142974),f931(x142971,x142972),f250(x142974,x142971,x142974,x142972,x142975,x142976)),f145(x142974,f105(f932(x142974,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14302,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f926(x143021),f926(x143021))),f319(f319(f244(f926(x143021),f926(x143021)),x143022),x143023)),f149(x143021,f145(x143021,f105(f932(x143021,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11701])). % 219.35/219.61 cnf(14305,plain, % 219.35/219.61 (E(f319(x143051,f895(x143051,x143052,f319(x143051,x143053))),f319(x143051,x143053))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(14312,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x143121,a923)),f319(f319(f93(f932(x143121,a923)),x143122),x143123)),x143122))), % 219.35/219.61 inference(rename_variables,[],[4277])). % 219.35/219.61 cnf(14315,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),x143151),f319(f319(f93(a925),x143151),x143152)))), % 219.35/219.61 inference(rename_variables,[],[12443])). % 219.35/219.61 cnf(14325,plain, % 219.35/219.61 (~E(f319(f160(x143251),f319(f319(f143(x143251),x143252),x143253)),f105(x143251))), % 219.35/219.61 inference(rename_variables,[],[10800])). % 219.35/219.61 cnf(14328,plain, % 219.35/219.61 (~E(f319(f319(f74(a1),x143281),x143281),f319(f319(f23(a1),f319(f319(f74(a1),x143282),x143282)),a89))), % 219.35/219.61 inference(rename_variables,[],[4768])). % 219.35/219.61 cnf(14339,plain, % 219.35/219.61 (~P1(f319(f319(f247(x143391,x143392,a923,f319(f164(x143393),f105(x143393))),x143394),x143395))), % 219.35/219.61 inference(rename_variables,[],[11561])). % 219.35/219.61 cnf(14342,plain, % 219.35/219.61 (E(f319(f302(x143421,x143421,f25(x143421)),x143422),x143422)), % 219.35/219.61 inference(rename_variables,[],[3629])). % 219.35/219.61 cnf(14345,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x143451,a923)),x143452),f319(f319(f102(f932(x143451,a923)),x143453),x143452)))), % 219.35/219.61 inference(rename_variables,[],[4153])). % 219.35/219.61 cnf(14352,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x143521,x143522)),x143523),f319(f302(f931(x143524,x143524),f931(x143521,x143522),f250(x143524,x143521,x143524,x143522,x143525,x143526)),f145(x143524,f105(f932(x143524,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14355,plain, % 219.35/219.61 (P1(f319(f319(f226(a925),x143551),f319(f319(f74(a925),x143552),x143551)))), % 219.35/219.61 inference(rename_variables,[],[3830])). % 219.35/219.61 cnf(14360,plain, % 219.35/219.61 (~P1(f319(f319(f61(f926(x143601),f926(x143601),f137(x143601,x143602)),x143603),f105(x143601)))), % 219.35/219.61 inference(rename_variables,[],[11416])). % 219.35/219.61 cnf(14363,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x143631,x143631)),x143632),f255(x143631,f180(f932(x143631,a923)))))), % 219.35/219.61 inference(rename_variables,[],[11294])). % 219.35/219.61 cnf(14375,plain, % 219.35/219.61 (~E(f234(f932(x143751,a923)),f180(f932(x143751,a923)))), % 219.35/219.61 inference(rename_variables,[],[4731])). % 219.35/219.61 cnf(14390,plain, % 219.35/219.61 (~P1(f319(f319(f227(a925),x143901),f319(f181(f926(x143902)),f105(x143902))))), % 219.35/219.61 inference(rename_variables,[],[12923])). % 219.35/219.61 cnf(14393,plain, % 219.35/219.61 (~P35(x143931,x143932,x143933,f319(f319(f146(x143934,x143931),x143935),f319(a104,f105(x143934))),f105(x143932))), % 219.35/219.61 inference(rename_variables,[],[11584])). % 219.35/219.61 cnf(14396,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f926(x143961),f926(x143961))),f319(f319(f244(f926(x143961),f926(x143961)),x143962),f105(x143961))),f319(f278(f926(x143961),f926(x143961)),f149(x143961,x143963))))), % 219.35/219.61 inference(rename_variables,[],[11592])). % 219.35/219.61 cnf(14410,plain, % 219.35/219.61 (~E(f319(f250(x144101,x144102,x144103,x144103,f302(x144104,f932(x144104,a923),x144105),f25(x144103)),x144106),f319(f250(x144101,x144102,x144103,x144103,f300(x144104),f25(x144103)),x144106))), % 219.35/219.61 inference(rename_variables,[],[11710])). % 219.35/219.61 cnf(14415,plain, % 219.35/219.61 (P1(f319(f319(f227(a1),f319(f319(f23(a1),x144151),f72(a1))),x144151))), % 219.35/219.61 inference(rename_variables,[],[11109])). % 219.35/219.61 cnf(14455,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x144551,x144552)),x144553),f319(f302(f931(x144554,x144554),f931(x144551,x144552),f250(x144554,x144551,x144554,x144552,x144555,x144556)),f145(x144554,f105(f932(x144554,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14458,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x144581,x144582)),x144583),f319(f302(f931(x144584,x144584),f931(x144581,x144582),f250(x144584,x144581,x144584,x144582,x144585,x144586)),f145(x144584,f105(f932(x144584,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14463,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x144631,x144632)),x144633),f319(f302(f931(x144634,x144634),f931(x144631,x144632),f250(x144634,x144631,x144634,x144632,x144635,x144636)),f145(x144634,f105(f932(x144634,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11748])). % 219.35/219.61 cnf(14469,plain, % 219.35/219.61 (P1(f319(f319(f226(a1),f39(a925,x144691,f180(a925))),x144691))), % 219.35/219.61 inference(rename_variables,[],[12180])). % 219.35/219.61 cnf(14476,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x144761,a923)),x144762),f319(f319(f102(f932(x144761,a923)),x144763),x144762)))), % 219.35/219.61 inference(rename_variables,[],[4153])). % 219.35/219.61 cnf(14479,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x144791,a923)),x144792),f319(f319(f102(f932(x144791,a923)),x144793),x144792)))), % 219.35/219.61 inference(rename_variables,[],[4153])). % 219.35/219.61 cnf(14488,plain, % 219.35/219.61 (~P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(a104,x144881)),x144882)),x144882))), % 219.35/219.61 inference(rename_variables,[],[13360])). % 219.35/219.61 cnf(14491,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x144911,x144911)),x144912),f255(x144911,f180(f932(x144911,a923)))))), % 219.35/219.61 inference(rename_variables,[],[11294])). % 219.35/219.61 cnf(14496,plain, % 219.35/219.61 (E(f319(x144961,f895(x144961,x144962,f319(x144961,x144963))),f319(x144961,x144963))), % 219.35/219.61 inference(rename_variables,[],[11324])). % 219.35/219.61 cnf(14499,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(f926(x144991),f926(x144991))),f319(f319(f244(f926(x144991),f926(x144991)),x144992),x144993)),f149(x144991,f145(x144991,f105(f932(x144991,a925))))))), % 219.35/219.61 inference(rename_variables,[],[11701])). % 219.35/219.61 cnf(14502,plain, % 219.35/219.61 (P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x145021),f180(f932(f931(a925,a925),a923)))),a65))), % 219.35/219.61 inference(rename_variables,[],[4529])). % 219.35/219.61 cnf(14507,plain, % 219.35/219.61 (E(f319(f73(f932(x145071,a923)),f319(f73(f932(x145071,a923)),x145072)),x145072)), % 219.35/219.61 inference(rename_variables,[],[3697])). % 219.35/219.61 cnf(14516,plain, % 219.35/219.61 (P1(f319(f319(f226(f932(x145161,a923)),f319(f277(x145162,x145161,x145163),f180(f932(x145162,a923)))),x145164))), % 219.35/219.61 inference(rename_variables,[],[11626])). % 219.35/219.61 cnf(14519,plain, % 219.35/219.61 (~E(x145191,f319(f319(f143(x145192),x145193),x145191))), % 219.35/219.61 inference(rename_variables,[],[11226])). % 219.35/219.61 cnf(14522,plain, % 219.35/219.61 (~E(f319(f319(f143(x145221),x145222),x145223),f319(f160(x145221),f105(x145221)))), % 219.35/219.61 inference(rename_variables,[],[13651])). % 219.35/219.61 cnf(14535,plain, % 219.35/219.61 (~P1(f319(f319(f321(f931(x145351,x145351)),x145352),f145(x145351,f105(f932(x145351,a925)))))), % 219.35/219.61 inference(rename_variables,[],[12499])). % 219.35/219.61 cnf(14540,plain, % 219.35/219.61 (~E(f319(f319(f143(x145401),x145402),f319(f319(f126(x145401),f106(x145401,f105(x145401))),x145403)),x145403)), % 219.35/219.61 inference(rename_variables,[],[11923])). % 219.35/219.61 cnf(14545,plain, % 219.35/219.61 (~P1(f319(f319(f247(x145451,x145452,a923,f319(f164(x145453),f105(x145453))),x145454),x145455))), % 219.35/219.62 inference(rename_variables,[],[11561])). % 219.35/219.62 cnf(14548,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x145481,x145482)),x145483),f319(f302(f931(x145484,x145484),f931(x145481,x145482),f250(x145484,x145481,x145484,x145482,x145485,x145486)),f145(x145484,f105(f932(x145484,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11748])). % 219.35/219.62 cnf(14553,plain, % 219.35/219.62 (P35(x145531,x145532,x145533,f319(f319(f146(x145534,x145531),x145535),f106(x145534,f105(x145534))),f105(x145532))), % 219.35/219.62 inference(rename_variables,[],[11588])). % 219.35/219.62 cnf(14571,plain, % 219.35/219.62 (P1(f319(f319(f226(a923),x145711),x145711))), % 219.35/219.62 inference(rename_variables,[],[12575])). % 219.35/219.62 cnf(14574,plain, % 219.35/219.62 (E(f319(x145741,f895(x145741,x145742,f319(x145741,x145743))),f319(x145741,x145743))), % 219.35/219.62 inference(rename_variables,[],[11324])). % 219.35/219.62 cnf(14579,plain, % 219.35/219.62 (P1(f319(f319(f226(a925),x145791),f319(f319(f74(a925),x145792),x145791)))), % 219.35/219.62 inference(rename_variables,[],[3830])). % 219.35/219.62 cnf(14586,plain, % 219.35/219.62 (P1(f319(f319(f226(a1),f39(a925,x145861,f180(a925))),x145861))), % 219.35/219.62 inference(rename_variables,[],[12180])). % 219.35/219.62 cnf(14598,plain, % 219.35/219.62 (P1(f319(f319(f226(a1),f39(a925,x145981,f180(a925))),x145981))), % 219.35/219.62 inference(rename_variables,[],[12180])). % 219.35/219.62 cnf(14604,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x146041),f926(x146041))),f319(f319(f244(f926(x146041),f926(x146041)),f105(x146041)),x146042)),f319(f278(f926(x146041),f926(x146041)),f137(x146041,x146043))))), % 219.35/219.62 inference(rename_variables,[],[11542])). % 219.35/219.62 cnf(14618,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x146181),f926(x146181))),f319(f319(f244(f926(x146181),f926(x146181)),x146182),x146183)),f149(x146181,f145(x146181,f105(f932(x146181,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11701])). % 219.35/219.62 cnf(14621,plain, % 219.35/219.62 (P1(f319(f319(f226(f932(x146211,a923)),f319(f319(f93(f932(x146211,a923)),x146212),x146213)),x146212))), % 219.35/219.62 inference(rename_variables,[],[4277])). % 219.35/219.62 cnf(14639,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x146391,x146391)),x146392),f255(x146391,f180(f932(x146391,a923)))))), % 219.35/219.62 inference(rename_variables,[],[11294])). % 219.35/219.62 cnf(14651,plain, % 219.35/219.62 (P1(f319(f319(f226(f932(x146511,a923)),x146512),f319(f319(f102(f932(x146511,a923)),x146513),x146512)))), % 219.35/219.62 inference(rename_variables,[],[4153])). % 219.35/219.62 cnf(14654,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x146541,x146542)),x146543),f319(f302(f931(x146544,x146544),f931(x146541,x146542),f250(x146544,x146541,x146544,x146542,x146545,x146546)),f145(x146544,f105(f932(x146544,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11748])). % 219.35/219.62 cnf(14668,plain, % 219.35/219.62 (~P1(f319(f319(f227(a925),f319(f243(x146681,x146682),f319(f319(f244(x146681,x146682),x146683),f150(x146684,x146685)))),x146683))), % 219.35/219.62 inference(rename_variables,[],[12613])). % 219.35/219.62 cnf(14679,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x146791,x146791)),x146792),f255(x146791,f180(f932(x146791,a923)))))), % 219.35/219.62 inference(rename_variables,[],[11294])). % 219.35/219.62 cnf(14682,plain, % 219.35/219.62 (P1(f319(f319(f227(a1),f319(f319(f23(a1),x146821),f72(a1))),x146821))), % 219.35/219.62 inference(rename_variables,[],[11109])). % 219.35/219.62 cnf(14708,plain, % 219.35/219.62 (~P1(f319(f319(f226(a925),f319(f319(f74(a925),f319(a104,x147081)),x147082)),x147082))), % 219.35/219.62 inference(rename_variables,[],[13360])). % 219.35/219.62 cnf(14711,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x147111),f926(x147111))),f319(f319(f244(f926(x147111),f926(x147111)),x147112),x147113)),f149(x147111,f145(x147111,f105(f932(x147111,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11701])). % 219.35/219.62 cnf(14718,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x147181,x147181)),x147182),f255(x147181,f180(f932(x147181,a923)))))), % 219.35/219.62 inference(rename_variables,[],[11294])). % 219.35/219.62 cnf(14723,plain, % 219.35/219.62 (E(f319(f73(f932(x147231,a923)),f319(f73(f932(x147231,a923)),x147232)),x147232)), % 219.35/219.62 inference(rename_variables,[],[3697])). % 219.35/219.62 cnf(14730,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x147301,x147302)),x147303),f319(f302(f931(x147304,x147304),f931(x147301,x147302),f250(x147304,x147301,x147304,x147302,x147305,x147306)),f145(x147304,f105(f932(x147304,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11748])). % 219.35/219.62 cnf(14733,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x147331),f926(x147331))),f319(f319(f244(f926(x147331),f926(x147331)),x147332),x147333)),f149(x147331,f145(x147331,f105(f932(x147331,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11701])). % 219.35/219.62 cnf(14744,plain, % 219.35/219.62 (~P1(f319(f319(f247(x147441,x147442,a923,f319(f164(x147443),f105(x147443))),x147444),x147445))), % 219.35/219.62 inference(rename_variables,[],[11561])). % 219.35/219.62 cnf(14753,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x147531),f926(x147531))),f319(f319(f244(f926(x147531),f926(x147531)),x147532),x147533)),f149(x147531,f145(x147531,f105(f932(x147531,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11701])). % 219.35/219.62 cnf(14770,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x147701),f926(x147701))),f319(f319(f244(f926(x147701),f926(x147701)),x147702),x147703)),f149(x147701,f145(x147701,f105(f932(x147701,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11701])). % 219.35/219.62 cnf(14778,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x147781,x147781)),x147782),f255(x147781,f180(f932(x147781,a923)))))), % 219.35/219.62 inference(rename_variables,[],[11294])). % 219.35/219.62 cnf(14785,plain, % 219.35/219.62 (E(f319(x147851,f895(x147851,x147852,f319(x147851,x147853))),f319(x147851,x147853))), % 219.35/219.62 inference(rename_variables,[],[11324])). % 219.35/219.62 cnf(14797,plain, % 219.35/219.62 (~P35(x147971,x147972,x147973,f319(f319(f146(x147974,x147971),x147975),f319(a104,f105(x147974))),f105(x147972))), % 219.35/219.62 inference(rename_variables,[],[11584])). % 219.35/219.62 cnf(14811,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x148111,x148112)),x148113),f319(f302(f931(x148114,x148114),f931(x148111,x148112),f250(x148114,x148111,x148114,x148112,x148115,x148116)),f145(x148114,f105(f932(x148114,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11748])). % 219.35/219.62 cnf(14820,plain, % 219.35/219.62 (~E(f319(f319(f143(x148201),x148202),x148203),f319(f160(x148201),f105(x148201)))), % 219.35/219.62 inference(rename_variables,[],[13651])). % 219.35/219.62 cnf(14824,plain, % 219.35/219.62 (E(f319(x148241,f895(x148241,x148242,f319(x148241,x148243))),f319(x148241,x148243))), % 219.35/219.62 inference(rename_variables,[],[11324])). % 219.35/219.62 cnf(14827,plain, % 219.35/219.62 (P1(f319(f319(f226(f932(x148271,a923)),f319(f319(f93(f932(x148271,a923)),x148272),x148273)),x148272))), % 219.35/219.62 inference(rename_variables,[],[4277])). % 219.35/219.62 cnf(14830,plain, % 219.35/219.62 (~P1(f319(f319(f321(x148301),x148302),f319(f302(x148303,x148301,x148304),f319(f302(x148305,x148303,x148306),f180(f932(x148305,a923))))))), % 219.35/219.62 inference(rename_variables,[],[11550])). % 219.35/219.62 cnf(14851,plain, % 219.35/219.62 (P1(f319(f319(f227(a925),x148511),f319(a104,f319(f319(f74(a925),x148511),x148512))))), % 219.35/219.62 inference(rename_variables,[],[4017])). % 219.35/219.62 cnf(14854,plain, % 219.35/219.62 (P1(f319(f319(f226(a925),f319(f319(f224(a925),x148541),x148542)),x148542))), % 219.35/219.62 inference(rename_variables,[],[12355])). % 219.35/219.62 cnf(14859,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x148591),f926(x148591))),f319(f319(f244(f926(x148591),f926(x148591)),x148592),x148593)),f149(x148591,f145(x148591,f105(f932(x148591,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11701])). % 219.35/219.62 cnf(14862,plain, % 219.35/219.62 (E(f319(x148621,f895(x148621,x148622,f319(x148621,x148623))),f319(x148621,x148623))), % 219.35/219.62 inference(rename_variables,[],[11324])). % 219.35/219.62 cnf(14872,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x148721,x148722)),x148723),f319(f302(f931(x148724,x148724),f931(x148721,x148722),f250(x148724,x148721,x148724,x148722,x148725,x148726)),f145(x148724,f105(f932(x148724,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11748])). % 219.35/219.62 cnf(14882,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x148821,x148821)),x148822),f255(x148821,f180(f932(x148821,a923)))))), % 219.35/219.62 inference(rename_variables,[],[11294])). % 219.35/219.62 cnf(14889,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x148891),f926(x148891))),f319(f319(f244(f926(x148891),f926(x148891)),f105(x148891)),x148892)),f319(f278(f926(x148891),f926(x148891)),f137(x148891,x148893))))), % 219.35/219.62 inference(rename_variables,[],[11542])). % 219.35/219.62 cnf(14900,plain, % 219.35/219.62 (P1(f319(f319(f226(a925),x149001),f319(f319(f74(a925),x149002),x149001)))), % 219.35/219.62 inference(rename_variables,[],[3830])). % 219.35/219.62 cnf(14903,plain, % 219.35/219.62 (P1(f319(f319(f226(a925),x149031),f319(f319(f74(a925),x149032),x149031)))), % 219.35/219.62 inference(rename_variables,[],[3830])). % 219.35/219.62 cnf(14948,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(f926(x149481),f926(x149481))),f319(f319(f244(f926(x149481),f926(x149481)),x149482),x149483)),f149(x149481,f145(x149481,f105(f932(x149481,a925))))))), % 219.35/219.62 inference(rename_variables,[],[11701])). % 219.35/219.62 cnf(14951,plain, % 219.35/219.62 (~P1(f319(f319(f61(f926(x149511),f926(x149511),f137(x149511,x149512)),x149513),f105(x149511)))), % 219.35/219.62 inference(rename_variables,[],[11416])). % 219.35/219.62 cnf(14987,plain, % 219.35/219.62 (E(f319(f73(f932(x149871,a923)),f319(f73(f932(x149871,a923)),x149872)),x149872)), % 219.35/219.62 inference(rename_variables,[],[3697])). % 219.35/219.62 cnf(15015,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x150151,x150151)),x150152),f145(x150151,f105(f932(x150151,a925)))))), % 219.35/219.62 inference(rename_variables,[],[12499])). % 219.35/219.62 cnf(15023,plain, % 219.35/219.62 (P1(f319(f319(f227(a1),f319(f319(f23(a1),x150231),f72(a1))),x150231))), % 219.35/219.62 inference(rename_variables,[],[11109])). % 219.35/219.62 cnf(15047,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x150471,x150471)),x150472),f255(x150471,f180(f932(x150471,a923)))))), % 219.35/219.62 inference(rename_variables,[],[11294])). % 219.35/219.62 cnf(15061,plain, % 219.35/219.62 (P1(f319(f319(f226(a925),x150611),f319(f319(f74(a925),x150612),x150611)))), % 219.35/219.62 inference(rename_variables,[],[3830])). % 219.35/219.62 cnf(15064,plain, % 219.35/219.62 (P1(f319(f319(f226(a925),x150641),f319(f319(f74(a925),x150642),x150641)))), % 219.35/219.62 inference(rename_variables,[],[3830])). % 219.35/219.62 cnf(15067,plain, % 219.35/219.62 (~E(f319(f66(x150671,x150672,x150673,a104),x150674),x150674)), % 219.35/219.62 inference(rename_variables,[],[11232])). % 219.35/219.62 cnf(15080,plain, % 219.35/219.62 (E(f319(f319(f146(x150801,x150801),f5(x150801)),x150802),x150802)), % 219.35/219.62 inference(rename_variables,[],[3587])). % 219.35/219.62 cnf(15083,plain, % 219.35/219.62 (P1(f319(f319(f226(a925),x150831),f319(f319(f74(a925),x150832),x150831)))), % 219.35/219.62 inference(rename_variables,[],[3830])). % 219.35/219.62 cnf(15086,plain, % 219.35/219.62 (P1(f319(f319(f227(a1),f319(f319(f23(a1),x150861),f72(a1))),x150861))), % 219.35/219.62 inference(rename_variables,[],[11109])). % 219.35/219.62 cnf(15107,plain, % 219.35/219.62 (P1(f319(f319(f227(a1),f319(f319(f23(a1),x151071),f72(a1))),x151071))), % 219.35/219.62 inference(rename_variables,[],[11109])). % 219.35/219.62 cnf(15113,plain, % 219.35/219.62 (~E(f319(f66(x151131,x151132,x151133,a104),x151134),x151134)), % 219.35/219.62 inference(rename_variables,[],[11232])). % 219.35/219.62 cnf(15128,plain, % 219.35/219.62 (P1(f319(f319(f321(f931(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923))),f319(f319(f244(f932(f931(a925,a925),a923),f932(f931(a925,a925),a923)),x151281),f180(f932(f931(a925,a925),a923)))),a65))), % 219.35/219.62 inference(rename_variables,[],[4529])). % 219.35/219.62 cnf(15134,plain, % 219.35/219.62 (~P1(f319(f319(f227(a925),x151341),f319(f181(f926(x151342)),f105(x151342))))), % 219.35/219.62 inference(rename_variables,[],[12923])). % 219.35/219.62 cnf(15143,plain, % 219.35/219.62 (~P1(f319(f319(f321(f931(x151431,x151431)),x151432),f255(x151431,f180(f932(x151431,a923)))))), % 219.35/219.62 inference(rename_variables,[],[11294])). % 219.35/219.62 cnf(15160,plain, % 219.35/219.62 (~P1(f319(f319(f247(x151601,x151602,a923,f319(f164(x151603),f105(x151603))),x151604),x151605))), % 219.35/219.62 inference(rename_variables,[],[11561])). % 219.35/219.62 cnf(15172,plain, % 219.35/219.62 (P1(f319(f319(f227(a925),x151721),f319(a104,f319(f319(f74(a925),x151721),x151722))))), % 219.35/219.62 inference(rename_variables,[],[4017])). % 219.35/219.62 cnf(15205,plain, % 219.35/219.62 ($false), % 219.35/219.62 inference(scs_inference,[],[4117,4071,4529,14502,15128,3697,14199,14287,14507,14723,14987,3587,15080,3830,14140,14160,14355,14579,14900,14903,15061,15064,15083,3807,4253,14169,4168,4017,14851,15172,4225,4731,14375,3629,14342,4030,4121,4747,4110,4111,4173,4277,14121,14263,14312,14621,14827,3664,3575,3527,4186,4153,14098,14345,14476,14479,14651,4559,4744,11324,13933,13940,13964,13993,13999,14031,14080,14220,14305,14496,14574,14785,14824,14862,11312,11588,14553,10800,14325,11557,13038,12886,11474,11416,14229,14360,14951,13651,14042,14522,14820,11531,11679,12299,11542,14604,14889,11592,14101,14396,11049,11599,11731,10636,11226,14118,14519,12891,10737,13476,11923,14540,11306,11710,14155,14410,13705,10879,12945,11701,14095,14124,14217,14302,14499,14618,14711,14733,14753,14770,14859,14948,11748,14002,14005,14008,14014,14017,14020,14039,14047,14111,14148,14297,14352,14455,14458,14463,14548,14654,14730,14811,14872,11550,13923,13990,14011,14023,14092,14830,11665,11733,12393,10901,11605,14145,11029,13456,13615,12927,13372,11294,14026,14237,14363,14491,14639,14679,14718,14778,14882,15047,15143,12499,14535,15015,11281,11297,11662,11237,11561,14052,14135,14185,14212,14240,14266,14339,14545,14744,15160,11449,11578,14085,14182,11394,11624,11276,11626,14068,14516,12218,12215,13759,11554,14071,12849,11278,11584,14393,14797,11232,15067,15113,11032,13252,12320,11462,12662,12107,13394,13725,11629,14274,12640,10920,12575,14571,12684,12923,13951,14390,15134,13175,10546,12613,14668,12176,12253,14196,12355,14854,12361,13360,14292,14488,14708,11586,11044,11151,12443,14315,12569,11109,14106,14415,14682,15023,15086,15107,12235,12180,14172,14271,14469,14586,14598,11488,11062,11457,13425,12675,11986,12717,12285,13160,11014,11229,13943,13946,11504,11927,10691,14232,12563,10843,11054,10632,13703,10939,12128,12589,12239,12578,11200,13173,12753,10686,3232,3518,3569,4060,3777,4768,14328,3934,4469,4781,4262,3593,3878,4013,4826,4969,5075,5648,5745,5746,5913,5971,5980,6224,6293,6315,6464,6696,6726,6766,7061,7119,7546,7950,8142,8195,8196,8197,8943,9113,9239,10021,10217,4810,5077,5256,5445,5446,5616,6969,7302,7303,7803,9047,9048,9064,9065,9656,5979,5343,9465,5981,5768,6046,7791,10284,9000,6140,5627,5767,5996,7974,7650,7926,8741,8978,7035,5988,8890,5977,6744,6534,5496,9568,5769,8704,8272,9290,5399,6649,7687,7050,6357,6286,8935,9492,10044,8999,5200,5390,5672,8605,5571,6546,6958,10019,9766,7678,8614,10213,5469,6334,5465,9321,7189,6495,8835,5269,6593,6540,5109,5391,5910,6590,8860,6456,5275,6361,9257,6589,9867,5329,6010,6306,8701,4869,5398,6147,9669,6929,7335,7607,8183,6162,8564,8090,5624,6757,7177,5811,8742,7396,7024,8607,6020,5139,5815,6139,6359,7861,9860,10199,4957,8789,9034,9843,9907,8981,9482,4873,5951,5631,6329,9044,9191,7142,7143,8852,9904,5177,6595,5965,5657,6138,8274,8880,6075,6304,10069,6999,8545,6980,9521,8838,6959,5695,6364,5525,5623,5959,6801,8546,8790,6487,7726,8273,9897,5994,8891,10228,5441,8629,10214,5591,6032,10112,9322,8931,6152,6290,4991,5442,7004,7555,6269,8881,8956,8817,7602,6883,7036,9431,8839,6979,8801,6287,8702,7413,6860,8065,5428,9072,9774,6326,7008,5201,9084,9972,5955,4871,9288,8679,9844,8290,5464,5539,9666,6535,4913,5787,5905,5974,6585,7220,9331,5907,5125,9470,6760,9289,7975,8828,6469,6764,10207,6551,5952,6199,9330,5859,4867,6358,6331,5871,5199,6363,8768,9537,6538,8833,5472,5509,9702,5519,5613,6458,4921,6325,8705,8863,7879,8648,8766,5969,5749,5455,8760,10227,10521,5797,7724,6308,9073,9134,9569,6160,6141,6503,8180,5340,6016,6714,9167,7184,9958,5799,6471,6606,7773,4814,8767,9049,7625,8005,6671,9180,6452,10440,5621,6594,9046,10349,4788,9596,6186,9023,9480,10248,8014,4962,6122,6693,9704,5242,10036,9541,5578,6418,6638,7425,7938,8788,10438,5330,5753,9971,5540,5437,4917,5572,5687,5824,7010,10031,9563,5060,5699,5860,9305,8703,5448,6404,7772,9905,2,4963,8217,6968,5461,5892,6098,6134,6591,6639,7663,5780,5918,5537,6707,6479,9703,4868,6484,6505,6586,9481,9545,4835,6670,9862,6113,5827,8053,9359,9661,7582,9771,7580,5957,8696,5896,5914,8279,5430,5521,7037,8367,7660,5557,7007,6961,5611,8846,10253,8603,9898,5176,5750,6398,10209,6467,7485,7118,6399,5447,4997,5906,8003,8434,5781,8671,5899,6513,6142,4919,10108,6309,8356,9148,8478,5562,6802,7729,8761,9957,6960,5268,5825,6746,8918,7421,8837,7002,9841,9360,8633,10439,10162,9832,5440,5526,6039,6695,6987,7581,4912,5248,7392,8899,6597,5559,7120,6031,8700,9745,6640,9842,5083,5198,5260,7557,5527,9045,5147,5553,5558,5671,6231,7604,8681,5522,5270,5438,8769,9140,10437,5967,5727,7107,8982,9178,6454,5961,5963,7006,7249,5414,6335,6190,7571,5510,6125,6245,8150,8291,5110,6414,8691,6407,7598,5547,4897]), % 219.35/219.62 ['proof']). % 219.35/219.62 % SZS output end Proof % 219.35/219.62 % Total time :187.160000s %------------------------------------------------------------------------------